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ENERGY  TRANSFORMATIONS  DURING 
HORIZONTAL  WALKING 


BY 


FRANCIS  G.  BENEDICT 


AND 


HANS  MURSCHHAUSER 


WASHINGTON,  D.  C. 

PUBLISHED  BY  THE  CARNEGIE  INSTITUTION  OF  WASHINGTON 

1915 


CARNEGIE  INSTITUTION  OF  WASHINGTON 

PUBLICATION  No.  231 

\ 


PRESS  OF  GIBSON  BROTHERS,  INC. 
WASHINGTON,  D.  C. 


CONTENTS. 

Page 

Introduction 5 

Methods  of  determining  the  energy  transformations  during  walking 7 

Methods  of  studying  the  gaseous  exchange  during  walking 8 

Fundamental  principle  of  studying  the  gaseous  exchange  incidental  to  walking .  .  9 

Units  of  measurement  used  in  walking  experiments 10 

Previous  researches  on  the  gaseous  exchange  during  walking 12 

Summary  of  results  of  previous  observations 21 

Methods  and  apparatus  for  studies  of  muscular  work 29 

Description  of  apparatus  used  in  this  research 31 

Universal  respiration  apparatus 31 

Treadmill 34 

Accessory  apparatus 36 

Method  of  recording  the  respiration-rate 37 

Method  of  recording  the  pulse-rate 37 

Step  counter 38 

Method  of  measuring  height  to  which  the  body  is  raised 39 

Plan  of  research 42 

General  routine  of  the  experiments 44 

Standing  experiments 44 

Sitting  experiments 45 

Walking  and  running  experiments 46 

Experiments  with  food 46 

Subjects 47 

Statistics  of  experiments 48 

Discussion  of  results 61 

Basal  values 61 

Basal  metabolism  of  subject  1 62 

Influence  of  food  and  body  position 65 

Basal  metabolism  of  subject  II 66 

Metabolism  in  the  lying  position 66 

Metabolism  in  the  sitting  position 67 

Comparison  of  the  metabolism  in  the  lying  and  sitting  positions 69 

Metabolism  in  various  standing  positions 70 

Influence  of  food  upon  metabolism  in  the  standing  position 72 

Metabolism  during  walking 76 

Walking  experiments  with  subject  1 76 

Experiments  without  food 77 

Experiments  with  food 80 

Energy  required  for  the  elevation  of  the  body 80 

Walking  experiments  with  subject  II 81 

Experiments  without  food 82 

Experiments  with  food 87 

Influence  of  the  character  of  diet  on  the  heat-output  per  unit  of  work  93 

Influence  of  fatigue  upon  the  heat-output  per  unit  of  work 94 

Comparison  of  the  heat-output  per  unit  of  work  during  running  with 

that  obtained  during  walking 96 

Analysis  of  the  mechanics  of  locomotion 98 


ILLUSTRATIONS. 

Fig.  1.  General  view  of  apparatus  used   for  walking  experiments 32 

2.  Schematic  outline  of  universal  respiration  apparatus 34 

3.  Treadmill  designed  by  E.  H.  Metcalf 35 

4.  Detail  of  ball  bearing  for  steel  tubes  on  the  treadmill 38 

5.  Step  counter 38 

6.  Apparatus  for  recording  the  height  to  which  the  body  is  lifted,  and  step 

counter  with  connections 40 

7.  Typical  kymograph  record  showing  character  of  step 41 

3 


ENERGY  TRANSFORMATIONS  DURING  HORIZONTAL 

WALKING. 


INTRODUCTION. 

This  investigation  was  undertaken  after  several  long  conferences 
with  Professor  Zuntz  of  Berlin  and  Professor  Durig  of  Vienna,  whose 
researches  on  the  work  of  forward  progression  are  classical.  The  pre- 
liminary experiments  were  made  during  the  sojourn  at  the  Nutrition 
Laboratory  of  Dr.  Carl  Tigerstedt  of  Helsingfors.  Subsequently  data 
were  acquired  by  Messrs.  H.  L.  Higgins  and  L.  E.  Emmes  of  the 
Laboratory  staff.  We  wish  to  express  our  thanks  to  these  gentlemen 
and  particularly  to  Dr.  Tigerstedt  for  the  data  regarding  Subject  I. 

A  certain  amount  of  walking  on  a  level  inevitably  forms  a  part  of 
the  daily  routine  of  nearly  every  living  person,  for  even  those  who  are 
designated  as  sedentary  in  then-  habits  do  a  not  inconsiderable  amount 
of  walking  in  the  house  or  in  short  distances  upon  the  street.  To 
one  who  has  not  computed  the  actual  distance  traversed  by  the 
housewife  during  a  day,  the  sum  total  of  the  distance  walked  is 
surprising.  Such  a  control  may  readily  be  obtained  with  a  simple 
pedometer,  for  although  a  pedometer  can  not  be  classified  as  an 
instrument  of  precision  and  is  subject  to  many  errors  that  are  fre- 
quently overlooked,  nevertheless  it  shows  in  a  striking  manner  that 
very  few  individuals  close  a  day  of  ordinary  life  without  having  moved 
in  forward  progression  a  distance  of  not  less  than  2  or  3  kilometers. 

Not  infrequently  this  distance  is  doubled  or  trebled  by  those  who 
would  ordinarily  assume  that  they  had  not  taken  a  particularly  long 
walk.  The  personal  experience  of  one  of  us  while  writing  a  report 
showed  that  the  walking  for  a  day  consisted  in  going  twice  to  and  from 
the  house,  which  was  400  meters  from  the  laboratory,  i.  e.,  a  total 
distance  of  1,600  meters,  and  in  walking  about  the  laboratory  while 
engaged  in  instruction  and  research.  Throughout  a  period  of  several 
months  the  pedometer,  which  was  carefully  controlled  and  tested, 
showed  that  the  average  distance  walked  per  day  amounted  to  7  miles 
(11.27  kilometers).1  Undoubtedly  innumerable  instances  even  more 
striking  than  this  may  be  cited,  which  would  show  that  it  is  reasonable 
to  assume  that  practically  all  persons  do  considerable  walking  during 
the  course  of  24  hours.  Inasmuch  as  there  are  many  individuals  whose 
habit  of  life  or  profession  requires  a  large  amount  of  walking — for 
example,  those  walking  to  and  from  business,  mail  carriers,  and  espe- 

iBenedict,  Proc.  Am.  Phil.  Soc.,  1910,  49,  p.  162. 


6  ENERGY  TRANSFORMATIONS  DURING  HORIZONTAL  WALKING. 

cially  soldiers — an  intimate  knowledge  of  the  physiology  of  walking  is 
obviously  of  great  importance. 

Practically  all  of  the  previous  researches  on  the  physiology  of  walking 
have  been  conducted  either  from  a  desire  to  study  the  conditions  inci- 
dental to  walking  done  in  mountain  climbing,  the  results  being  of 
importance  to  physicians  and  those  taking  regular  exercise,  or,  as  in  the 
case  of  the  classical  researches  of  Zuntz  and  Schumburg,  from  a  desire 
to  study  the  influence  of  walking  on  the  metabolism,  with  a  view  to 
applying  the  results  directly  to  army  movements.  In  the  present  day, 
when  special  attention  is  directed  towards  efficiency,  the  minimizing 
of  extraneous  muscular  movements,  and  the  transportation  of  material 
by  hand  and  leg  motion  with  the  least  possible  expenditure  of  physical 
energy,  we  may  assume  that  there  is  every  incentive  for  studying  care- 
fully the  physiology  incidental  to  walking  in  a  horizontal  direction. 

While  from  the  abstract  physiological  standpoint  a  study  of  all  of 
the  various  factors  incidental  to  walking  is  of  great  value,  perhaps  the 
most  important  phase  of  the  investigation  is  the  study  of  the  energy 
transformations  and  the  determination  of  the  amount  of  nutrients  in 
the  food  necessary  to  provide  for  such  activity.  The  results  of  such 
study  are  of  especial  practical  value  in  determining  the  energy  require- 
ments of  an  army  engaged  in  marching  a  certain  distance  over  a  level 
country.  As  previously  stated,  this  thought  dominated  the  study 
of  Zuntz  and  Schumburg.  A  more  universal  application  of  the  results 
may  be  made  by  the  physician  who,  if  he  knows  the  energy  involved  in 
walking,  is  able  to  prescribe  more  intelligently  a  definite  amount  of 
exercise  for  the  ambulatory  patient.  Furthermore,  as  physical  exercise, 
particularly  walking,  is  an  important  factor  in  weight  reduction  and 
in  athletic  training,  exact  information  as  to  the  energy  required  may 
be  put  to  practical  use  in  such  connection. 

Theoretically  the  movement  of  1  kilogram  1  meter  would  call  for  no 
positive  work  other  than  that  in  overcoming  the  resistance  of  the  air; 
nevertheless  a  considerable  amount  of  work  is  required  of  the  human 
body  as  a  machine  in  accomplishing  this  feat  of  moving  the  mass  in  a 
horizontal  direction.  The  apportionment  of  the  total  energy  output 
of  the  body  between  that  required  for  the  maintenance  of  the  vital 
functions  and  that  required  for  walking  is  not,  however,  simple.  When 
a  person  is  walking,  not  only  is  energy  required  for  the  external  mus- 
cular exercise,  but  a  heat  production  is  necessary  for  the  entire  main- 
tenance of  the  body  activities,  including  muscular  tonus,  the  work  of 
circulation,  respiratory  muscles,  and  the  external  work  of  balancing  the 
body  in  an  upright  position,  none  of  these  activities  contributing 
directly  to  the  work  required  to  move  the  body  in  a  horizontal  direction. 
With  only  a  knowledge  of  the  amount  of  food  eaten,  it  is  impossible  to 
estimate  the  proportion  of  food  required  for  the  activity  of  walking  and 
that  for  vital  maintenance.  A  closer  analysis  is  therefore  essential. 


INTRODUCTION. 


METHODS  OF  DETERMINING  THE  ENERGY  TRANSFORMATIONS 

DURING  WALKING. 

It  is  necessary,  first  of  all,  to  study  the  energj^  transformations  which 
are  peculiarly  incidental  to  walking.  Thus,  in  the  simplest  case,  if 
the  person  could  walk  directly  in  a  vertical  direction,  a  definite  amount 
of  external  muscular  work  would  be  performed  which  would  be  repre- 
sented by  the  product  of  the  weight  of  the  body  and  the  height  walked. 
In  walking  in  a  horizontal  direction,  theoretically  no  external  work  is 
performed  and  there  is  no  change  in  the  potential  energy  of  the  body. 
We  are  thus  unable  to  measure  the  energy  output  by  the  kilogram- 
meter,  the  unit  most  commonly  used,  or  by  any  of  the  other  ordinary 
work  units.  Consequently  we  have  very  little  information  regarding 
the  energy  output. 

It  is  true  that  we  must  not  disregard  the  extremely  illuminating 
researches  of  earlier  workers,  who  have  attempted  to  establish  a  con- 
stant, although  with  wide  variations,  which  would  show  approximately 
the  amount  of  energy  required  to  move  1  kilogram  1  meter  in  a  hori- 
zontal direction.  These  researches  will  be  referred  to  in  a  subsequent 
section.  It  is  important  for  us  to  note,  however,  that  aside  from  such 
methods  of  calculation  as  are  based  upon  the  constant  established  by 
the  earlier  physiologists,  we  have  no  means  of  calculating  the  energy 
output  required  in  walking. 

A  possible  method  of  measurement  would  be  to  determine  the  energy 
output  directly  by  having  the  subject  walk  inside  of  a  calorimeter. 
This  has  been  attempted,  although  in  an  imperfect  manner,  by  certain 
French  investigators,  including  Him1  and  Chauveau,2  who  used  the 
so-called  "  emission  calorimeter"  with  a  tread  wheel.  In  these  studies, 
however,  a  large  proportion  of  the  work  was  done  in  lifting  the  body, 
and  hence  the  amount  of  forward  progression,  which  is  of  special  interest 
to  us,  is  complicated  by  the  very  much  greater  work  involved  in  the 
elevation  of  the  body. 

Finally,  it  is  possible,  owing  to  the  valuable  computations  and 
methods  of  research  established  by  Zuntz,  to  study  the  respiratory 
exchange,  namely,  the  carbon-dioxide  output  and  the  oxygen  intake, 
and  thus  compute  indirectly  the  total  calorific  output.  This  last 
method  has  been  adopted  by  all  physiologists  as  the  most  suitable  for 
the  purpose.  Practically  all  previous  research  has  therefore  been 
based  upon  the  general  principle  of  determining  the  total  respiratory 
exchange  both  while  the  subject  is  walking  and  during  rest  when  lying, 
sitting,  or  standing,  and  noting  the  increment  in  the  carbon-dioxide 
output  and  oxygen  intake  due  to  walking. 

From  the  heat  of  combustion  and  analysis  of  pure  nutrients,  such 
as  carbohydrate  and  fat,  it  has  been  computed  that  for  each  liter  of 


,  Recherches  sur  1'equivalent  mecanique  de  la  chaleur,  Paris,  1858. 
2Chaveau,  Compt.  rend.,  1899,  129,  p.  249. 


8  ENERGY  TRANSFORMATIONS  DURING  HORIZONTAL  WALKING. 

oxygen  required  in  the  combustion,  there  are  produced  from  4.686  to 
5.047  calories.  When  pure  carbohydrate  is  burned,  each  liter  of  oxygen 
utilized  in  the  combustion  corresponds  to  5.047  calories,  but  when  pure 
fat  is  burned  each  liter  of  oxygen  corresponds  to  4.686  calories.  Zuntz 
and  his  co-workers  have  prepared  a  table  showing  the  calorific  equivalent 
of  the  oxygen  consumption  when  fat  and  carbohydrate  are  burned.1  This 
has  been  most  ingeniously  elaborated  by  Williams,  Riche,  and  Lusk.2 

By  studying  the  output  of  carbon  dioxide  and  the  intake  of  oxygen, 
not  only  is  information  secured  regarding  the  total  oxidation  of  material, 
but  also  some  idea  is  gained  of  the  character  of  the  combustion  by 
noting  the  relationship  between  the  volume  of  carbon  dioxide  given  off 
and  the  oxygen  absorbed.  With  equal  volumes  of  carbon  dioxide  and 
oxygen,  this  relationship  or  ''respiratory  quotient"  is  1.0  and  indicates 
that  carbohydrate  has  been  exclusively  burned.  When  the  respiratory 
quotient  approximates  0.7  the  indication  is  that  fat  has  exclusively 
been  burned.  By  this  means,  therefore,  it  is  possible  to  compute  with 
great  accuracy  the  heat  output  from  the  total  oxygen  consumption  and 
the  respiratory  quotient. 

In  certain  earlier  researches,  and  especially  prior  to  the  time  when 
methods  were  devised  by  which  oxygen  absorption  could  be  more 
easily  determined  than  formerly,  the  measurements  of  the  carbon- 
dioxide  output  alone  were  used,  but  a  much  greater  error  is  introduced 
into  the  computations  by  this  method.  Unfortunately,  of  the  two 
factors,  carbon  dioxide  and  oxygen,  that  which  is  of  the  greater  sig- 
nificance, namely,  oxygen,  is  the  more  difficult  of  determination,  while 
the  measurement  of  the  carbon-dioxide  excretion  is  relatively  a  simple 
matter. 

METHODS  OF  STUDYING  THE  GASEOUS  EXCHANGE  DURING 

WALKING. 

Inasmuch  as  a  study  of  the  problem  of  the  energy  transformations 
during  walking  demands  a  careful  study  of  the  gaseous  exchange,  we 
find  all  the  methods  used  based  upon  this  principle.  The  simplest  is 
that  in  which  the  subject  walks  inside  a  closed  chamber  by  means  of 
which  the  product  of  respiration — carbon  dioxide — is  easily  collected. 
This  method  was  first  employed  by  Sonden  and  Tigerstedt3  in  the  clas- 
sical research  with  their  large  respiration  chamber  in  the  Karolinska 
Institute  in  Stockholm.  This  chamber  had  a  capacity  of  100  cubic 
meters  and,  unlike  any  respiration  chamber  previously  used,  permitted 
the  subject  free  movement.  When  the  subject  walked  back  and  forth 
across  the  room,  a  considerable  distance  could  be  traversed.  At  that 
time  only  the  carbon-dioxide  output  was  determined  with  this  method. 

xZuntz  and  Schumburg,  Physiologic  des  Marsches,  Berlin,  1901,  p.  361. 
2Williams,  Riche,  and  Lusk,  Journ.  Biol.  Chem.,  1912,  12,  p.  357. 
3Sonden  and  Tigerstedt,  Skand.  Archiv  f.  Physiol.,  1895,  6,  p.  165. 


INTRODUCTION.  9 

A  second  method  involves  the  attachment  of  certain  breathing  appli- 
ances, either  nosepieces  or  mouthpiece,  with  an  apparatus  for  meas- 
uring the  volume  of  the  expired  air.  When  the  breathing  appliances 
have  been  adjusted,  the  subject  assumes  a  certain  body  position  and 
then  walks  along  a  movable  path,  such  as  a  treadmill.  This  method 
was  frequently  used  by  Zuntz  and  Durig  and  their  co-workers. 

A  modification  of  this  method  is  that  in  which  the  apparatus  for 
measuring  and  sampling  the  expired  air  is  carried  upon  the  back  of  the 
subject,  somewhat  as  a  knapsack  would  be  carried.  The  subject  is 
then  no  longer  confined  to  walking  upon  a  treadmill,  but  may  walk 
on  level  ground  anywhere.  This  method  was  used  extensively  by 
Zuntz  and  Durig  and  their  associates  and  by  Douglas.  Instead  of 
having  the  apparatus  carried  by  the  subject,  it  may  be  transported 
by  an  assistant  walking  a  suitable  distance  behind  him.  The  subject 
thus  breathes  through  the  nose  or  mouth  appliance,  but  is  not  obliged 
to  support  the  heavy  apparatus.  This  method  was  employed  by  Burgi, 
Schnyder,  and,  in  certain  experiments,  by  Kolmer  and  Brezina. 

Finally,  it  is  possible  to  have  the  gas  measuring  and  sampling  appa- 
ratus in  a  fixed  position  and  the  subject  attached  to  it  by  a  long  tube. 
He  then  walks  in  a  clearly  defined  path,  either  back  and  forth  across  the 
room  or  in  a  circle  of  which  the  apparatus  is  the  center.  This  method, 
which  obviously  limits  appreciably  the  distance  to  be  covered  and  the 
general  freedom  of  the  subject,  has  found  slight  use  with  certain  French 
observers,  particularly  Amar. 

FUNDAMENTAL  PRINCIPLE  OF  STUDYING  THE  GASEOUS  EXCHANGE 

INCIDENTAL  TO  WALKING. 

The  method  of  superimposition  is  the  only  one  feasible  for  these 
studies.  By  this  method  the  gaseous  exchange  during  walking  in  dif- 
ferent positions  must  be  carefully  studied  by  one  or  more  of  the  methods 
previously  referred  to;  subsequently,  in  order  to  apportion  specifically 
the  energy  transformation  due  to  walking,  it  is  necessary  that  a  certain 
part  due  to  the  metabolism  of  maintenance  be  subtracted  from  the 
result  obtained  for  the  total  gaseous  exchange. 

The  exact  selection  of  the  amount  of  energy  transformed  for  main- 
tenance to  be  deducted  from  the  total  energy  transformation  has  been 
a  matter  of  considerable  discussion.  We  have  now  come  to  realize  that 
a  human  individual  may  subsist  on  numerous  metabolic  levels.  The 
subject  sound  asleep,  without  food  in  the  stomach,  has  a  minimum 
metabolism,  but  is  utterly  incapable  of  intellectual  or  physical  activity. 
It  would  obviously  be  impracticable,  if  not  indeed  undesirable,  to 
deduct  this  minimum  metabolism  from  the  measurement  of  the  total 
metabolism  and  assume  that  the  difference  would  be  wholly  due  to 
the  energy  transformation  due  to  walking.  Even  when  the  subject 
is  lying  awake,  we  still  have  a  base-line  which  is  far  removed  from  the 


10  ENERGY  TRANSFORMATIONS  DURING  HORIZONTAL  WALKING. 

process  of  walking.  To  obtain  the  best  expression  of  the  superimposed 
energy  requirement  for  forward  progression,  it  is  necessary  to  secure,  as 
nearly  as  possible,  the  energy  requirement  of  the  subject  in  a  position 
which  involves  all  of  the  extraneous  muscular  movements  incidental  to 
the  waking  condition  and  in  a  vertical  position.  This  may  be  obtained 
by  deducting  the  metabolism  required  for  the  standing  position.  And 
yet  the  earlier  researches  have  been  most  unsatisfactory  in  the  attempts 
to  measure  the  metabolism  under  these  conditions. 

With  the  standing  position  we  again  have  numerous  possible  varia- 
tions. The  subject  may  stand  in  a  completely  relaxed  position;  he 
may  possibly  eliminate  in  a  large  part  the  effort  of  balancing  by  leaning 
on  a  staff  or  lying  back  slightly  out  of  the  vertical  against  a  support ;  or  he 
may  stand  in  a  fixed  position  with  rigid  muscles,  such  as  that  of  "atten- 
tion." We  should,  theoretically  at  least,  expect  to  find  a  considerable 
difference  in  the  metabolism  necessary  for  these  various  upright  positions. 

Durig  has  clearly  pointed  out1  that  there  are  numerous  arguments 
against  assuming  that  the  metabolism  while  standing  in  any  one  of 
these  positions  can  rightly  be  deducted  from  that  during  walking  to 
obtain  the  true  energy  transformation  due  to  the  walking,  for  it  is  quite 
possible  that  certain  of  the  external  muscular  movements  incidental  to 
balancing  and  sustaining  the  body  in  an  upright  position  may  be  greatly 
modified,  if  not  indeed  dispensed  with,  in  the  ordinary  motions  of  for- 
ward progression.  Consequently,  one  finds  that,  in  previous  researches, 
the  base-line  used  almost  universally  among  physiologists  has  been  the 
metabolism  observed  with  the  subject  lying  awake  without  food  in  the 
stomach,  i.  e.,  in  the  post-absorptive  condition.  The  assumption  is  then 
made  that  the  increment  of  metabolism  during  walking  over  that  observed 
with  the  subject  lying  awake  is  a  true  measure  of  the  metabolism  due  to 
the  muscular  exercise  of  moving  the  body  in  a  horizontal  direction. 

UNITS  OF  MEASUREMENT  USED  IN  WALKING  EXPERIMENTS. 

While  under  ordinary  conditions  the  amount  of  work  performed  in 
any  inanimate  or  animate  motions  is  expressed  in  terms  of  foot-pounds, 
kilogrammeters,  or  calories,  it  is  obvious  that  no  one  of  these  units  can 
be  appropriately  employed  for  indicating  the  energy  transformations 
during  walking.  In  walking,  a  given  weight  is  carried  through  a  given 
distance.  To  be  sure,  there  is  inevitably  a  slight  lifting  of  the  total 
weight  of  the  body  at  each  step  due  to  the  anatomical  arrangement  of 
the  feet  and  leg-muscles,  but  this  wreight  is  again  immediately  lowered 
to  the  same  position,  so  that,  mechanically  at  least,  there  is  no  effective 
work  accomplished.  The  only  external  evidence  of  performance  is  that 
a  given  weight  is  moved  forward  a  given  distance. 

In  this  discussion  we  may  for  the  present  appropriately  eliminate  the 
possible  effect  of  wind  resistance  produced  by  the  body  in  walking  or  the 

1Durig,  Denkschriften  d.  math.-natur.  Klasse  d.  kaiserl.  Akad.  d.  Wissensch.,  1909,  86,  p.  267. 


INTRODUCTION.  11 

external  influence  of  the  wind  in  a  direction  either  favorable  or  unfav- 
orable for  forward  progression.  But  in  practically  all  walking  done 
by  man  considerable  differences  exist  in  the  weight  moved  forward .  With 
the  bather  walking  on  a  flat  sandy  beach  we  have  simply  the  weight  of  the 
body  plus  the  negligible  weight  of  the  bathing-suit.  On  the  other  hand, 
with  a  pedestrian  taking  his  "  constitutional,"  we  have  the  weight  of  the 
clothing,  amounting  to  3  or  4  kilograms,  possibly  supplemented  by  the 
weight  of  knapsack,  camera,  and  other  accessories.  Finally  we  have  the 
exaggerated  case  of  the  fully  equipped  trooper  carrying  knapsack,  emer- 
gency rations,  and  a  considerable  quantity  of  ammunition.  Thus  we 
have  the  possible  necessity  of  distinguishing  between  the  movement  due 
to  the  lifting  of  body-weight  and  that  due  to  lifting  inert  or  dead  weight. 
The  subject  is  further  complicated  when  we  attempt  to  analyze  the 
weight  of  the  living  organism.  The  body  is  made  up  of  bone,  muscle, 
and  fat.  Fat  may  be  looked  upon  as  inert  body-material,  and  when 
there  is  an  excessive  accumulation  of  fat,  as  with  obese  persons,  it  is 
possible  that  it  may  be  considered  in  great  part  as  dead  weight.  It 
is  thus  seen  that  the  problem  of  studying  the  physiology  of  forward 
progression  involves  the  question  of  analyzing  the  character  of  the 
weight  transported.  For  the  present  the  unit  of  accomplishment  in 
the  work  of  forward  progression  on  a  horizontal  plane  must  be  con- 
sidered as  the  transportation  of  1  kilogram  1  meter,  i.  e.,  1  "  horizontal 
kilogrammeter . " 


12  ENERGY  TRANSFORMATIONS  DURING  HORIZONTAL  WALKING. 

PREVIOUS  RESEARCHES  ON  THE  GASEOUS  EXCHANGE 

DURING  WALKING. 

Before  reporting  and  discussing  the  results  of  our  own  experiments,  a 
brief  abstract  is  given  of  all  previous  research  in  which  the  metabolism 
during  walking  has  been  studied.  In  thus  reviewing  the  work  of  other 
investigators,  it  has  seemed  advisable  to  record  the  results  on  the  basis 
of  the  movement  of  1  kilogram  over  1  meter  of  level  path,  i.  e.,  1  hori- 
zontal kilogrammeter,  and  to  compare  them  in  a  large  summary  table 
rather  than  to  give  them  under  each  research.  This  is  done  in  table 

1  (see  pages  22  to  27). 

Observations  of  Smith,  1859. — The  earliest  attempt  to  measure  the 
gaseous  metabolism  during  walking  was  made  by  Edward  Smith,  who, 
in  his  memoirs  entitled  "Experimental  inquiries  into  the  chemical  and 
other  phenomena  of  respiration  and  their  modifications  by  various 
physical  agencies,"1  gives  the  details  of  two  walking  experiments.  In 
these  experiments  Smith  collected  the  products  of  respiration  by  attach- 
ing a  mask  to  the  face  and  forcing  the  expired  air  through  specially 
constructed  boxes,  containing  caustic  potash  to  absorb  the  carbon 
dioxide.  The  mask  had  two  openings,  one  for  inspired  air  and  the 
other  for  expired  air,  a  valve  system  providing  for  the  separation  of  the 
two  currents  of  air.  A  dry  gas-meter  was  attached  at  the  intake  point. 
The  expired  air  was  first  passed  through  a  Woulff  bottle  containing 
pumice-stone  and  sulphuric  acid,  then  into  a  gutta-percha  box  contain- 
ing a  solution  of  caustic  potash,  and  finally  through  a  second  Woulff 
bottle  containing  pumice-stone  and  sulphuric  acid.  The  walking  was 
done  inside  of  a  room  and  covered  a  distance  of  approximately  10 
meters  in  each  direction.  All  of  the  precautions  incidental  to  modern 
experiments  as  to  recording  the  barometric  temperature  and  pressure 
were  taken,  and  a  further  factor,  which  is  only  too  frequently  neglected 
in  modern  work,  namely,  pulse-rate,  was  also  recorded.  The  subject 
carried  a  spirometer  which  weighed  7  pounds,  but  the  exact  method  of 
transportation  is  not  clear  from  Smith's  description.  Both  experiments 
were  made  in  one  afternoon,  with  an  intermission  of  an  hour.  During 
the  first  experiment  he  walked  at  the  rate  of  2  miles  an  hour  and  during 
the  second  at  the  rate  of  3  miles  an  hour.  For  a  base-line  he  deter- 
mined the  metabolism  at  rest  without  food  and  in  a  sitting  position. 

Smith's  values,  which  are  given  in  English  grains,  were  recomputed 
to  grams  by  Sonden  and  Tigerstedt.2  While  walking  at  the  rate  of 

2  miles  an  hour,  the  carbon  dioxide  per  minute  was  1.173  grams;  at  3 
miles  an  hour,  1.674  grams;  and  sitting  at  rest  without  food,  0.482 
gram.     The  energy  per  horizontal  kilogrammeter  computed  from  these 
values  is  given  in  table  1,  page  22.     The  results  obtained  by  Smith 
have  been  criticized  by  Gruber3  and  Voit,4  who  both  consider  them 

'Smith,  Phil.  Trans.  Roy.  Soc.,  London,  1859,  149,  p.  681. 
2Sonden  and  Tigerstedt,  Skand.  Archiv  f.  Physiol.,  1895,  6,  p.  166. 
3Gruber,  Zeitschr.  f.  Biol.,  1891,  28,  p.  470. 
4Voit,  Hermann's  Haudbuch  der  Physiologic,  1881,  6,  p.  201. 


PREVIOUS    RESEARCHES    ON    GASEOUS    EXCHANGE. 


13 


somewhat  high.  Katzensteiri1  likewise  considers  the  values  too  high 
and  inexact  and  regrets  that  Smith  did  not  state  whether  the  walking 
was  done  on  a  level  or  on  an  incline.  Although  Smith  gives  the  weight 
of  the  subject  and  the  apparatus  in  one  instance,  Katzenstein  criticizes 
the  absence  of  body-weights  for  each  experiment.  Katzenstein's 
further  criticism,  that  the  carrying  of  the  apparatus  by  the  subject  was 
a  fault  in  the  technique,  is  of  special  interest  in  view  of  the  subsequent 
use  of  a  portable  gas-meter  by  Zuntz  and  his  co-workers. 

Observations  of  Gruber,  1891. — The  unusual  interest  in  mountaineer- 
ing, which  is  particularly  active  in  Switzerland,  has  resulted  in  a  large 
number  of  physiological  observations  upon  the  effect  of  high  altitudes 
on  the  human  body.  One  of  the  earliest  of  the  observations,  which 
included  measurements  of  the  gaseous  metabolism,  was  that  of  Gruber,2 
who  published  the  results  of  a  research  carried  out  in  the  Physiological 
Institute  at  Berne  under  the  direction  of  Professor  Kronecker.  Gruber 
himself  was  the  subject  of  the  study. 

Instead  of  using  a  mask  with  two  valves,  Gruber  employed  a  tube  in 
the  mouth  for  expiration,  the  nose  being  closed  by  the  fingers  of  the 
left  hand.  During  inspiration  the  rubber  tube  leading  to  the  mouth 
was  tightly  closed  by  the  teeth  and  air  was  inspired  through  the  nose. 
The  inspired  air  was  passed  into  a  U-tube  containing  soda  to  absorb  the 
carbon  dioxide.  A  rubber  air-cushion,  which  could  be  compressed  by 
the  arm  of  the  subject,  permitted  the  accumulation  of  the  excess  of  air 
during  the  expiration,  and  during  inspiration  this  air  was  forced  out 
through  the  absorbing  vessels  by  pressure  with  the  arm. 

Three  experiments  are  reported  in  which  the  subject  walked  without 
other  load  than  the  apparatus.  The  rate  of  walking  in  the  first 
experiment  was  80  steps  per  minute.  Two  of  the  three  experiments 
consisted  of  10  minutes  of  walking  followed  by  10  minutes  of  sitting, 
Gruber  concluding  from  his  results  that  apparently  as  much  carbon 
dioxide  is  excreted  in  the  10-minute  rest  after  the  short  walking-period 
as  during  the  walking.  He  also  made  three  experiments  while  sitting 
in  a  chair  prior  to  walking  and  two  experiments  after  walking.  On  the 
basis  of  the  sitting  values  he  contends  that  with  walking  on  a  level 
the  carbon-dioxide  production  is  twice  as  great  as  with  sitting.  Both 
the  rest  and  walking  experiments  were  made  5  or  6  hours  after  food. 
Comparing  the  results  of  observations  made  both  in  trained  and 
untrained  condition  and  considering  the  amount  of  carbon  dioxide 
produced  during  rest  as  1,  he  obtained  the  following  figures:3 


Rest. 

Walking. 

Ascent 
(untrained)  . 

Ascent 
(trained)  . 

Series  1  ... 

1 

'2.00 

4.1 

3.3 

Series  2  ... 

1 

1.75 

3.05 

2.42 

Incorrectly  stated  as  1.89  by  Gruber  and  recalculated  by  us. 


Katzenstein,  Archiv  f.  d.  ges.  Physiol.,  1891,  49,  p.  331. 
"Gruber,  Zeitschr.  f.  Biol.,  1891,  28,  p.  466.  3Ibid.,  p.  490. 


14  ENERGY  TRANSFORMATIONS  DURING  HORIZONTAL  WALKING. 

From  these  data  he  concludes  that  the  carbon-dioxide  production  of 
a  working  man  is  not  a  function  of  his  work,  since  the  metabolism 
decreases  with  practice. 

Observations  of  Katzenstein,  1891. — In  the  walking  experiments  of 
Smith  and  Gruber,  only  the  carbon-dioxide  production  was  deter- 
mined, and  the  first  investigations,  in  which  the  oxygen  consumption 
was  also  measured,  were  those  carried  out  by  Katzenstein1  in  Zuntz's 
laboratory  in  Berlin.  Employing  the  Zuntz  mouthpiece  and  valves 
for  separating  the  inspired  air  from  the  expired  air,  Katzenstein 
sampled  and  analyzed  the  expired  air,  the  measurement  of  the  total 
amount  of  air  expired  being  made  with  a  gas-meter.  There  is  consider- 
able doubt  as  to  the  conditions  of  the  experiments.  In  certain  instances 
it  is  specifically  stated  that  the  subjects  were  in  the  post-absorptive 
state,  i.  6.,  without  food  for  12  hours,  but  the  general  impression  is  given 
that  in  the  majority  of  instances  the  experiments  were  not  made  with 
the  subject  in  the  post-absorptive  condition.  The  rate  of  walking  was 
from  51  to  92  meters  per  minute.  The  criticism  was  subsequently 
raised  by  Durig2  that  the  treadmill  was  not  completely  level,  there 
being  a  slight  elevation  of  somewhat  less  than  1  degree.  To  provide 
a  base-line  for  these  observations,  the  metabolism  of  the  subject  was 
measured  while  he  stood  quietly  upon  the  treadmill.  Observations 
were  likewise  obtained  with  the  subject  in  a  lying  position.  The  author 
concludes  that  the  oxygen  consumption  for  the  unit  of  effective  work  is 
greater  for  small  amounts  of  work  than  for  large  amounts,  and  that  the 
respiratory  quotient  during  work  remains  essentially  unaltered.  The 
computation  of  the  values  per  horizontal  kilogrammeter  is  given  in 
table  1,  page  22. 

Observations  of  Sonden  and  Tiger stedt,  1895. — The  large  respiration 
chamber  in  Stockholm  afforded  sufficient  space  for  experiments  in 
which  the  work  of  walking  could  be  measured.3  The  carbon  dioxide 
alone  was  determined  and  with  most  of  the  experiments  moderate 
amounts  of  food  were  taken.  The  body-weight  with  clothing  was 
recorded  before  and  after  the  experiment.  The  subjects  walked 
from  3,000  to  5,920  steps  per  hour  without  a  load.  As  a  base-line  the 
authors  used  a  value  found  for  three  resting  periods  when  the  subject 
was  sitting,  these  periods  being  between  periods  of  walking;  large 
differences  are  shown  in  the  carbon-dioxide  output  per  hour  during  the 
resting  periods.  The  energy  per  horizontal  kilogrammeter,  as  com- 
puted from  the  carbon-dioxide  output  during  the  walking  experiments, 
is  given  in  table  1,  page  22. 

Observations  of  Schumburg  and  Zuntz,  1896. — In  connection  with  a 
series  of  experiments  made  in  the  Alps,  Schumburg  and  Zuntz  carried 

Katzenstein,  Archiv  f.  d.  ges.  Physiol.,  1891,  49,  p.  330. 

2Durig,  Denkschrift.  d.  math.-natur.  Masse  d.  kaiserl.  Akad.  d.  Wissensch.,  1909,  85,  p.  250. 

3Sonden  and  Tigerstedt,  Skand.  Archiv  f.  Physiol.,  1895,  8,  p.  1. 


PREVIOUS    RESEARCHES    ON    GASEOUS    EXCHANGE.  15 

out  a  number  of  observations  in  Zuntz's  laboratory  in  Berlin,  using  the 
treadmill.1  A  dry  gas-meter  weighing  7  kilograms  was  employed  and 
was  carried  by  the  subject.  In  most  of  the  experiments  the  inspired 
and  expired  air  were  separated  by  a  valve  system  and  a  mouthpiece  and 
nose-clamp  were  used.  It  is  interesting  to  note  that  in  the  severe  work 
of  going  uphill  in  this  series  of  experiments,  the  authors  record  that  the 
breathing  appliances  were  very  uncomfortable,  particularly  the  nose- 
clip.  They  accordingly  trained  themselves  to  inspire  through  the  nose 
and  expire  through  the  mouth,  a  procedure  which  they  satisfied  them- 
selves gave  accurate  results.  To  establish  a  base-line,  numerous  exper- 
iments were  made  with  the  subject  in  a  sitting  position,  these  being 
carried  out  in  the  laboratory  in  Berlin,  in  the  hotel  at  Zermatt,  and  also 
in  the  camp  and  on  the  glacier  in  the  mountains.  Three  walking 
experiments  were  made  with  Zuntz  as  subject  in  a  room  of  the  labora- 
tory building  and  two  on  the  treadmill,  which  was  in  a  practically  hori- 
zontal position.  Two  treadmill  experiments  were  also  made  with 
Schumburg  as  a  subject.  The  energy  per  horizontal  kilogrammeter,  as 
computed  from  the  difference  between  the  sitting  values  and  the  walk- 
ing values,  is  given  in  table  1,  page  22. 

Observations  of  A.  Loewy,  J.  Loewy,  and  L.  Zuntz,  1897. — In  connec- 
tion with  their  studies  in  the  Alps,  A.  Loewy,  J.  Loewy,  and  L.  Zuntz 
made  several  experiments  in  Berlin  on  the  treadmill  in  the  Landwirt- 
schaftliche  Hochschule.2  Two  experiments  were  made  with  A.  Loewy, 
three  with  J.  Loewy,  and  five  with  L.  Zuntz.  A  6.6  kilogram  dry  gas- 
meter  was  carried  by  the  subject  on  his  back  and  connected  with  the 
Lob  valve  attached  to  the  mouthpiece.  The  nose  was  closed  with  a 
clamp.  For  the  experiments  made  with  A.  Loewy,  a  base-line  was  used 
which  was  founded  upon  earlier  observations.  The  resting  values  for 
J.  Loewy  and  L.  Zuntz  were  determined  presumably  with  the  subject 
sitting.  No  statement  is  made  as  to  whether  the  subjects  were  in  a 
post-absorptive  condition  or  not.  Certain  experiments  were  also  made 
at  Col  d'Olen,  in  which  the  subject  likewise  carried  the  dry  gas-meter, 
but  for  these  experiments  the  resting  values  were  obtained  with  the 
subject  in  a  lying  position.  The  results  for  the  observations  with  the 
subject  walking  on  a  level  are  summarized  in  table  1,  page  22. 

Observations  of  L.  Zuntz,  1899. — In  his  observations  regarding  the 
gaseous-exchange  of  bicycle-riders,  Leo  Zuntz  included  a  number  of 
experiments  made  on  the  treadmill  in  the  Landwirtschaftliche  Hoch- 
schule.3 The  statement  is  made  that  the  treadmill  had  an  inclination 
of  approximately  1  degree.  Of  special  interest  in  these  observations 
is  the  fact  that  Leo  Zuntz  paid  particular  attention  to  the  influence  of 
speed  upon  the  gaseous  metabolism,  varying  the  rate  of  walking  from 

JSchumburg  and  Zuntz,  Archiv  f.  d.  ges.  Physiol.,  1896,  63,  p.  461. 
2A.  Loewy,  J.  Loewy,  and  L.  Zuntz,  Archiv  f.  d.  ges.  Physiol.,  1897,  66,  p.  477. 
3L.  Zuntz,  Untersuchungen  iiber  den  Gaswechsel  und  Energieumsatz  des  Rad  ahresHirsch- 
wald,  Berlin,  1899. 


16  ENERGY  TRANSFORMATIONS  DURING  HORIZONTAL  WALKING. 

53.45  meters  per  minute  to  145.53  meters  per  minute.  In  the  treadmill 
experiments  the  stationary  wet  gas-meter  was  used  and  consequently 
the  subject  was  not  obliged  to  carry  an  excessive  load.  The  author 
discusses  the  absence  of  wind-resistance  and  points  out  that  at  the 
forced  speeds,  the  treadmill  ran  so  irregularly  that  it  was  frequently 
necessary  for  him  to  run  two  or  three  steps.  The  research  is  especially 
worthy  of  note  as  representing  an  attempt  to  secure  unusual  accuracy, 
although  one  could  wish  that  the  experiments  had  been  made  with  the 
subject  in  the  post-absorptive  condition.  An  abstract  of  the  results 
obtained  at  the  different  speeds  is  recorded  in  table  1,  page  22. 

Observations  of  Setschenow  and  Schaternikow,  1900. — Setschenow  and 
Schaternikow1  report  a  research  made  at  the  physiological  institute  of 
the  University  of  Moscow,  which  included  six  walking  experiments, 
the  length  varying  from  64  to  75  minutes.  Three  of  these  experiments 
were  preceded  by  a  preliminary  period  of  6  to  9  minutes  in  which  the 
subject  stood.  Basal  values  were  obtained  in  two  additional  experi- 
ments with  the  subject  at  complete  rest.  In  the  walking  periods  the 
subject,  who  was  the  fireman  of  the  institution,  walked  back  and  forth 
in  the  courtyard,  the  speed  averaging  62.47  meters  per  minute;  the 
distance  walked  in  each  experiment  was  usually  4,455  meters.  All  of 
the  experiments  were  made  3  to  4  hours  after  a  light  breakfast  of  white 
bread  and  tea.  As  the  data  given  are  unfortunately  insufficient  for 
computing  the  values  per  horizontal  kilogrammeter  and  do  not  lend 
themselves  to  tabular  presentation,  this  research  is  not  included  in 
table  I.2 

Observations  of  Frentzel  and  Reach,  1901. — In  studying  the  influence 
of  an  unbalanced  diet  upon  muscular  work,  Frentzel  and  Reach  made  a 
number  of  observations  with  the  subject  walking  on  the  Zuntz  treadmill 
in  the  level  position  in  the  Landwirtschaftliche  Hochschule  in  Berlin.3 
The  rate  of  walking  varied  from  31.39  to  80.15  meters  per  minute. 
The  resting  metabolism  was  determined  with  the  subject  lying  upon  a 
couch,  but  both  the  resting  and  walking  experiments  were  made  with 
food  in  the  stomach.  Resting  experiments  were  made  on  16  days  with 
subject  F  and  on  12  days  with  subject  R.  A  considerable  number  of 
resting  experiments  were  made  prior  to  the  walking  period  and  on  days 
other  than  the  walking  days.  Durig  has  criticized  the  experiments 
as  showing  unusually  large  fluctuations  in  the  energy  required  per  hori- 
zontal kilogrammeter.  A  summary  of  the  results  is  given  in  table  1, 
page  22. 

Observations  of  Zuntz  and  Schumburg,  1901. — In  their  extensive 
research  on  the  physiology  of  walking,  Zuntz  and  Schumburg  made 

'Setschenow  and  Schaternikow,  Le  Physiol.  Russe,  1900,  2,  p.  44. 

2War  conditions  make  it  impracticable  for  me  to  communicate  with  my  personal  friend,  Professor 
Schaternikow,  regarding  the  figures  in  this  research.  As  they  stand,  if  a  body-weight  is  assumed 
and  a  resting  base-Jine  deducted,  values  representing  only  about  50  per  cent  of  those  found  in 
other  published  researches  are  obtained. — F.  G.  B. 

3Frentzel  and  Reach,  Archiv  f.  d.  ges.  Physiol.,  1901,  83,  p.  477. 


PREVIOUS   RESEARCHES   ON   GASEOUS   EXCHANGE.  17 

numerous  observations  of  the  respiratory  exchange  of  two  students, 
B  and  P.1  The  experiments  were  made  in  Zuntz's  laboratory  and  the 
treadmill  was  used.  In  most  of  the  experiments  the  subjects  carried 
the  German  army  equipment  with  a  considerable  load,  the  maximum 
weight  of  the  load  being  31.5  kilograms.  In  some  of  the  experiments 
they  carried  no  load,  and  it  is  these  latter  experiments  with  which  we 
are  chiefly  concerned.  The  basal  values  were  obtained  with  the  sub- 
ject lying  upon  a  sofa.  Both  the  resting  and  walking  experiments 
were  made  after  the  subject  had  taken  a  light  breakfast.  The  usual 
correction  for  the  slight  elevation  of  the  treadmill  is  considered.  The 
experiments  were  so  adjusted  that  both  subjects  could  walk  at  the  same 
time  upon  the  treadmill  and  two  complete  sets  of  respiration  apparatus, 
including  gas-meters,  were  employed.  The  energy  per  horizontal 
kilogrammeter  is  given  in  table  1,  page  22. 

Observations  of  Durig  and  Zuntz,  190 4.. — Observations  on  the  metabo- 
lism during  walking  on  a  horizontal  level  were  carried  out  in  Vienna,  Col 
d'Olen,  and  Capanna  Margherita  by  Durig  and  Zuntz,  and  their  results 
were  published  in  1904.2  The  dry  gas-meter  and  the  mouthpiece, 
valves,  and  nose-clamp  were  employed.  The  resting  experiments  were 
made  every  morning  with  the  subject  in  bed,  except  when  a  study  was 
made  of  the  after-effect  of  work.  Some  of  the  resting  values  used  for 
experiments  with  Zuntz  as  a  subject  were  taken  from  the  published 
results  of  a  previous  research.  Both  the  resting  and  walking  experi- 
ments were  without  food.  After  the  basal  values  obtained  with  the 
subject  lying  in  bed  had  been  deducted,  the  energy  per  horizontal  kilo- 
grammeter was  computed  and  is  given  in  table  1,  page  22. 

Observations  of  Caspari,  1905. — In  his  study  of  vegetarianism,  Cas- 
pari3  had  an  opportunity  of  studying  the  metabolism  of  two  compet- 
itors in  a  walking-match  from  Dresden  to  Berlin,  one  of  whom  was  a 
vegetarian  and  the  other  subsisted  on  a  mixed  diet.  The  experiments 
were  made  upon  a  treadmill  in  Zuntz's  laboratory  and  presumably  the 
Zuntz  technique  was  carried  out  in  all  details.  Striking  differences 
in  the  gait  of  the  two  subjects  were  noted.  One  of  the  subjects,  K.  M., 
won  the  match,  proving  himself  a  particularly  efficient  walker.  The 
basal  values  were  obtained  while  the  subject  was  lying  in  absolute  rest. 
The  walking  experiments  were  made  with  food,  and  probably  the  rest 
experiments  also,  although  no  statement  is  given  in  regard  to  the  food 
with  the  rest  experiments.  After  the  basal  values  had  been  deducted 
from  the  values  found  with  the  treadmill,  the  energy  per  horizontal 
kilogrammeter  was  computed  and  is  given  in  table  1,  page  24. 

Observations  of  Zuntz,  Loewy,  Mutter,  and  Caspari,  1906. — In  con- 
nection with  the  classical  research  on  the  physiology  of  man  in  high 

xZuntz  and  Schumburg,  Studien  zu  einer  Physiologie  des  Marsches.     Hirschwald,  Berlin,  1901. 
2Durig  and  Zuntz,  Travaux  de  1'annee  1903,  Laboratoire  scientifique  international  du  Monte 
Rosa,  Turin,  1904,  p.  65;  also  Archiv  f.  Anat.  u.  Physiol.,  Physiol.  Abth.,  1904,  Suppbd.,  p.  417. 
3Caspari,  Archiv  f.  d.  ges.  Physiol.,  1905,  109,  p.  473. 


18  ENERGY  TRANSFORMATIONS  DURING  HORIZONTAL  WALKING. 

altitudes,  which  was  made  in  the  Alps,  Zuntz,  Loewy,  Miiller,  and 
Caspari1  carried  out  a  series  of  resting  and  horizontal  walking  experi- 
ments in  Berlin.  The  resting  experiments  were  all  made  with  the  sub- 
ject lying  in  bed  in  the  morning  before  taking  food.  The  experiments 
on  horizontal  walking  were  presumably  without  food  and  hence  it  is 
permissible  to  deduct  the  basal  values  directly  to  compute  the  energy 
per  horizontal  kilogrammeter.  (See  table  1,  page  24.)  The  large  wet 
gas-meter  was  doubtless  employed  in  the  Berlin  experiments,  together 
with  the  rest  of  the  Zuntz  technique.  The  walking  experiments  on  the 
treadmill  were  as  follows:  With  Waldenburg,  9;  with  Kolmer,  4;  with 
Caspari,  5;  with  Miiller,  6.  The  especially  high  values  found  with 
Kolmer  in  this  research  are  commented  upon  at  length  by  Durig.2 

Observations  of  Durig,  1906.  —  In  connection  with  an  expedition  in  the 
Alps,  Durig  and  his  wife  were  the  subjects  of  a  number  of  resting  and 
horizontal  walking  experiments.3  Both  the  basal  and  walking  experi- 
ments were  made  with  the  subject  in  the  post-absorptive  condition, 
that  is,  several  hours  after  the  taking  of  food.  The  dry  gas-meter 
was  used  and  the  Zuntz  technique.  18  resting  experiments  and  8 
horizontal  walking  experiments  were  made  with  Durig  and  11  resting 
experiments  and  6  walking  experiments  with  Frau  Durig,  all  of  these 
being  in  the  mountains.  In  addition  the  average  value  is  given  for  a 
number  of  horizontal  walking  experiments  with  Frau  Durig  in  Vienna. 
Special  comment  should  be  made  of  the  extraordinarily  heavy  appa- 
ratus —  16.5  kilograms  —  carried  by  Frau  Durig,  who  weighed  but  45.7 
kilograms.  The  basal  values  have  been  deducted  from  the  values 
obtained  in  the  walking  experiments  and  the  energy  per  horizontal 
kilogrammeter  has  been  computed;  this  is  given  in  table  1,  page  24. 

Observations  of  Durig,  Kolmer,  Rainer,  Reichel,  and  Caspari,  1909.— 
The  extraordinary  care  which  characterizes  all  of  the  researches  of 
Durig  is  manifest  in  his  classical  contributions  on  the  physiology  of  man 
in  the  Alps;  of  particular  value  are  his  keen  criticisms  and  summation 
of  earlier  research.4  Indeed,  nowhere  do  we  find  so  sharp  a  recognition 
of  all  of  the  fundamental  tenets  of  careful  experimentation  in  gaseous 
metabolism,  and  particularly  in  the  physiology  of  walking  with  special 
reference  to  the  physiology  of  man  in  high  altitudes,  as  in  this  series 
of  contributions  from  Durig's  laboratory.  The  observations  were  all 
made  with  the  portable  dry  gas-meter  which,  with  the  equipment, 
weighed  11  kilograms.  The  experiments  were  made  in  the  morning, 
either  without  food  or  after  taking  a  cup  of  weak  tea.  32  observations 
were  made  on  a  level  road  200  meters  long  in  Vienna  and  12  observa- 


z,  Loe.wy,  Miiller,  and  Caspari,  Hohenklima  und  Bergwanderungen  in  ihrer  Wirkung  auf 
den  Menschen,  1  Aufl.,  Berlin,  1906. 

2Durig,  Denkschriften  d.  math.-natur.  Kl.  d.  kaiserl.  Akad.  der  Wissensch.,  1909,  86,  pp.  253 
and  254. 

3Durig,  Archiv  f.  d.  ges.  Physiol.,  1906,  113,  p.  213. 

4Durig,  Kolmer,  Rainer,  Reichel,  and  Caspari,  Denkschrift.  d.  math.-natur.  Kl.  d.  kaiserl. 
\kad.  der  Wissensch.,  1909,  86,  p.  242. 


PREVIOUS   RESEARCHES   ON   GASEOUS   EXCHANGE.  19 

tions  were  made  on  the  Semmering.  Durig  discusses  carefully  all  of 
the  factors  which  should  be  taken  into  consideration  in  experiments  of 
this  nature  and  in  the  interpretation  of  their  results.  Of  especial  inter- 
est is  his  discussion  of  the  suitable  base-line  to  be  deducted  from  the 
values  found  in  the  walking  experiments.  It  should  be  noted  that  he 
adheres  to  the  basal  values  found  with  the  subject  lying,  as  he  considers 
the  evidence  in  regard  to  the  standing  position  wholly  inadequate. 
His  final  computations  for  the  energy  required  per  horizontal  kilo- 
grammeter  are  given  in  table  1,  page  24. 

Observations  of  Amar,  1910. — In  a  research  on  the  metabolism  of 
Arabs,1  Amar  made  numerous  walking  experiments  with  15  subjects, 
who  ranged  in  weight  from  59  to  78  kilograms.  The  experiments  were 
not  made  with  the  subject  in  the  post-absorptive  condition  and  loads 
weighing  from  45  to  60  kilograms  were  carried.  The  Thiry  metallic 
valve  and  a  dry  gas-meter  were  used.  The  author  gives  a  very  inade- 
quate description  of  his  technique.  It  appears,  however,  that  Amar 
probably  calculated  the  heat  output  of  his  subjects  from  the  energy  of 
the  food  and  obtained  an  approximate  control  of  his  results  by  com- 
puting the  heat  output  from  the  actual  determinations  of  the  oxygen 
intake  and  the  calorific  value  of  oxygen.  Averages  computed  from  the 
individual  figures  given  by  the  author  are  included  in  table  1,  page  24. 

Observations  of  Amar,  1911. — In  a  series  of  walking  experiments 
reported  in  1911,  Amar2  used  Thiry  respiration  valves  which  were  con- 
nected with  a  dry  gas-meter.  The  apparatus  was  placed  upon  a  table, 
which  was  pushed  behind  the  subject  as  he  walked,  and  samples  were 
withdrawn  and  analyzed,  apparently  for  oxygen  alone.  The  experi- 
ments were  made  in  the  morning,  10  or  12  hours  after  the  taking  of 
food.  Control  experiments  were  made  with  the  subject  standing  and 
also  with  the  subject  sitting,  Amar  noting  an  increase  in  the  metabo- 
lism during  standing  as  compared  with  sitting.  His  computations  are 
based  upon  the  increase  in  energy  expenditure  while  walking  above 
that  in  a  state  of  repose.  Especial  attention  is  given  in  his  discussion 
to  the  variations  in  the  load  and  the  economic  value  of  the  rate  of 
walking.  The  experiments  have  been  criticized  by  Brezina  and  Kol- 
mer,3  who  protest  against  the  lack  of  information  as  to  the  details  of  the 
experiments  and  the  technique  and  state  that  the  barometric  pressure, 
temperature,  and  carbon-dioxide  output  were  apparently  not  taken  into 
consideration.  An  abstract  of  Amar's  results  is  given  in  table  1 ,  page  24. 

Observations  of  Brezina  and  Kolmer,  1912. — -A  series  of  walking  exper- 
iments was  made  by  Brezina  and  Kolmer  in  Durig' s  laboratory  in 
Vienna.4  In  one  set  of  experiments  the  subject  carried  on  his  back  a 

1Amar,  Le  rendement  de  la  machine  humaine,  Paris,  1910;  also,  Le  moteur  humain,  Paris, 
1914,  pp.  493  and  494. 

2Amar,  Journ.  de  Physiol.  et  de  Pathol.  gen.,  1911,  13,  p.  212. 
3Brezina  and  Kolmer,  Biochem.  Zeitachr.,  1912,  38,  p.  132. 
*Ibid,  p.  129. 


20  ENERGY  TRANSFORMATIONS  DURING  HORIZONTAL  WALKING. 

dry  gas-meter  and  the  ordinary  equipment  was  used,  including  the 
mouthpiece  and  valves.  This,  with  additional  weights,  made  a  load 
of  11  kilograms.  In  one  set  of  the  experiments  in  which  heavier  loads 
were  used,  the  gas-meter  was  carried  by  the  subject,  but  in  later  experi- 
ments the  meter  was  carried  by  an  assistant  who  walked  behind  the  sub- 
ject. All  of  the  experiments  were  made  on  a  path  near  the  laboratory 
and  after  the  subject  had  taken  a  cup  of  tea  with  sugar.  The  authors 
maintain  that  the  last  heavy  meal  was  taken  12  hours  previous  to  the 
experiment,  and  that  the  influence  of  the  ingestion  of  food  was  there- 
fore eliminated.  In  computing  the  results,  a  basal  value  of  1,083  gram- 
calories  per  minute  was  assumed  for  the  subject.  The  authors  point 
out  that  this  is,  to  a  certain  degree,  arbitrary.  It  should  be  noted  that 
some  of  the  experiments  are  considered  less  accurate  than  the  others, 
owing  to  difficulties  with  the  gas-meter.  Special  emphasis  is  laid  upon 
variations  in  load  and  in  the  rate  of  walking.  In  a  subsequent  paper 
Brezina  and  Reichel1  review  the  earlier  paper  of  Brezina  and  Kolmer 
and  make  certain  corrections  in  the  values.  These  corrected  values 
are  used  by  us  in  our  summation  of  the  results  of  Brezina  and  Kolmer 
in  table  1,  pages  24  and  26. 

Observations  of  Douglas,  Haldane,  Henderson,  and  Schneider,  1913  — 
In  connection  with  researches  carried  out  on  Pike's  Peak  by  Douglas, 
Haldane,  Henderson,  and  Schneider,  a  number  of  observations  were 
made  on  Douglas,  both  at  Oxford  and  on  Pike's  Peak.2  The  special 
form  of  respiration  apparatus  devised  by  Douglas  was  used,  consisting 
of  a  mouthpiece  and  a  pair  of  valves  connected  by  tubing  with  a  large 
rubber  bag  carried  on  the  back  of  the  subject.  The  experiments  were 
made  with  the  subject  lying  in  bed,  in  a  standing  position,  and  walking 
on  a  horizontal  plane  at  the  rate  of  2  to  5  miles  an  hour.  The  basal 
values  were  assumed  to  be  those  measured  when  the  subject  was  stand- 
ing quiet  with  the  muscles  relaxed.  Apparently  some  of  the  lying 
experiments  were  made  with  the  subject  in  a  post-absorptive  condition, 
while  the  standing  and  walking  experiments  were  made  after  food  had 
been  taken.  No  attention  was  paid  to  the  character  or  amounts  of  food 
eaten  and  the  possible  influence  upon  the  measurements,  as  the  observa- 
tions were  not  made  primarily  for  the  purpose  of  studying  the  absolute 
metabolism.  A  summary  of  the  results  is  given  in  table  1,  page  26. 

Observations  of  Brezina  and  Kolmer,  1914- — To  carry  out  the  plan 
conceived  by  Durig  of  studying  the  metabolism  during  walking  under 
every  possible  condition  and  to  complete  their  own  earlier  experiments, 
in  which  they  studied  the  influence  of  speed  and  load  during  walking 
on  a  horizontal  path,  Brezina  and  Kolmer  made  a  second  research,  in 
which  they  studied  the  influence  of  the  work  of  ascent  upon  the  metabo- 

VBrezina  and  Reichel,  Biochem.  Zeitschr.,  1914,  63,  p.  170. 

"Douglas,  Haldane,  Henderson,  and  Schneider,  Phil.  Trans.  Roy.  Soc.  London,  1913,  ser.  B, 
203,  p.  185. 


PREVIOUS    RESEARCHES    ON    GASEOUS    EXCHANGE.  21 

lism.1  Numerous  experiments  were  carried  out  in  the  Hoschschule 
f.  Bodenkultur  in  Vienna,  with  the  treadmill  both  horizontal  and 
inclined,  and  with  and  without  load.  Presumably  the  wet  gas-meter 
was  used.  In  the  load  experiments  the  subject  carried  a  knapsack 
with  weights  in  it.  In  the  15  experiments  with  the  treadmill  horizontal, 
the  rate  of  walking  ranged  from  30.1  to  55.2  meters  per  minute,  the 
speed  being  low  to  correspond  with  the  rate  of  walking  in  the  experi- 
ments with  the  treadmill  inclined.  Brezina  himself  was  the  subject. 
The  experiments  were  made  in  the  forenoon,  1|  hours  after  the  taking 
of  a  cup  of  sweetened  tea.  The  base-line  used  was  probably  the  values 
obtained  with  the  subject  lying  down,  and  the  Zuntz  method  for  deter- 
mining the  respiratory  metabolism  was  employed.  The  caorlies 
required  per  horizontal  kilogrammeter  are  given  in  table  1,  page  26. 

Observations  of  Galeotti,  Barkan,  Giuliani,  Higgins,  Signorelli,  and 
Viale,  1914. — On  an  expedition  to  Col  d'Olen  on  Monte  Rosa  in  1913 
Galeotti,  Barkan,  Giuliani,  Higgins,  Signorelli,  and  Viale  made  a 
number  of  observations  on  the  gaseous  metabolism  of  four  individuals 
while  the  subjects  were  walking  on  a  level.2  Since  basal  values  were 
obtained  in  only  one  instance,  it  was  necessary  to  assume  these  for  the 
other  subjects.  The  Douglas  bag  and  the  Siebe-Gorman  valves  were 
used,  except  in  one  experiment  when  the  Tissot  valves  were  substituted. 
Strict  attention  was  given  to  the  use  of  food,  certain  tests  being  specifi- 
cally made  after  breakfast.  The  experiments  which  are  reported  here, 
however,  were  made  with  the  subjects  in  the  post-absorptive  condition. 
An  abstract  of  the  values  for  the  horizontal  kilogrammeter  is  given  in 
table  1,  page  26. 

SUMMARY  OF  RESULTS  OF  PREVIOUS  OBSERVATIONS. 

In  an  attempt  to  arrange  in  chronological  order  a  mathematical 
expression  of  the  values  on  a  comparable  basis,  we  have  gathered 
together  all  of  the  literature  available  on  horizontal  walking  and  sum- 
marized the  results  of  previous  researches  in  table  1.  In  some  of  the 
work,  particularly  in  the  earlier  observations,  certain  assumptions  were 
essential.  These  assumptions,  which  were  based  upon  careful  analyses 
of  all  of  the  experiments,  upon  deductions  drawn  from  the  experience  of 
this  laboratory  in  metabolism  experiments,  and  upon  known  and  recog- 
nized errors  in  technique  are,  we  believe,  justifiable  and  in  all  proba- 
bility are  not  greatly  in  error.  The  table  gives  the  name  of  the  author 
and  the  date  of  reporting  the  results  of  the  research ;  the  name  or  initials 
of  the  subjects  of  the  walking  experiments;  the  conditions  under  which 
the  experiments  were  made ;  the  method  of  measuring  the  respiratory 
exchange;  the  kind  of  walking,  i.  e.,  in  a  room,  out  of  doors,  or  on  a 

Brezina  and  Kolmer,  Biochem.  Zeitschr.,  1914,  65,  p.  16. 

2Galeotti,  Barkan,  Giuliani,  Higgins,  Signorelli,  and  Viale,  Reale  Accademia  dei  Lincei,  Rome, 
1914,  and  Arch.  d.  Fisiol.,  1914,  12,  p.  277. 


22 


ENERGY  TRANSFORMATIONS  DURING  HORIZONTAL  WALKING. 


TABLE  1. — Historical  summary  of  walking 


Author,  date  of  publica- 
tion, and  subject. 

Condition  during 
walking. 

Method  of  measuring  respira- 
tory exchange. 

Kind  of  walking. 

Smith,  1859: 
Smith  

6   hours    after 
food  (?). 

5  to  6  hrs.  after 
food. 

1  With  food  (?)  
>With  food  

Mask    for    resting;    mouth- 
piece for  walking;  spirome- 
ter  carried. 
Tube  in  mouth;  absorption 
apparatus  in  knapsack  car- 
ried on  breast. 

Zuntz  and  Lehmann  

Indoors,  11  yds. 
in  each  direc- 
tion. 
In    room,    back 
and  forth. 

Zuntz  treadmill.  . 
In  chamber 

Gruber,  1891: 
Gruber 

Katzenstein,  1891: 
Kohansky  

Krzywy      

Wellnitz     .  . 

Respiration  chamber 

Zimm 

Sonden  and  Tigerstedt, 
1895: 
F.  A.  W  

G.  J  

L.  B  

{Not  stated  

Zuntz  and  Geppert;  dry  gas- 
meter  on  back. 

do  

(Zuntz  treadmill, 
do 

F     .. 

Schumburg  and  Zuntz, 
1896: 

N.  Zuntz 

Schumburg  

N.  Zuntz  

J 
[..  .  .do.. 

In  room. 

Zuntz  treadmill.  . 

Small  plateau  in 
front  of  hotel. 

Zuntz  treadmill.  . 
do 

A.   Loewy,   J.   Loewy, 
and  L.  Zuntz,   1897: 
A.  Loewy7  .... 

J.  Loewy7  

L.  Zuntz7  

I 

1A  few  hours  after 
light,  liquid 
breakfast. 

Moderate  break- 
fast. 

With  food  

[  do  .  . 

A.  Loewy8  

J.  Loewy8  

L.  Zuntz8  .... 

I 

Zuntz;   wet   gas-meter  near 
treadmill. 

Zuntz  

L.  Zuntz,  1899: 
L.  Zuntz    .  . 

Frentzel    and    Reach, 
1901: 
Frentzel 

Reach  

1  After  a    light 
J      breakfast. 

Without  food  (?).. 
)  

>  Zuntz  and  Geppert.  . 

do  

Zuntz  and  Schumburg, 
1901: 
B  

Durig  and  Zuntz,  1904: 
Dung11  

J 

Zuntz  and  Schumburg;   dry 
gas-meter  on  back. 

.  .  .      do 

Free  path,  out- 
doors (?). 

In  hut 

Durig8  

N.  Zuntz8  .... 

Durig13  

N.  Zuntz13  

J 

*The  summarized  data  in  this  table  are  based  on  published  material  cited  on  pp.  11  to  21. 

2Calculated  from  the  data  available,  assuming  a  respiratory  quotient  of  0.85  and  1,609.35 
meters  per  mile. 

'Computed  with  several  necessary  assumptions,  i.  e.,  length  of  step,  0.680  meter;  number  of 
steps,  80  per  minute  for  second  figure  as  well  as  for  the  first;  respiratory  quotient,  0.85. 

4Values  computed  by  Durig  (Denkschrift.  d.  math.-natur.  Kl.  Akad.  Wissensch.,  1909,  86, 
p.  242),  including  correction  for  angle  of  ascent  as  indicated  by  Katzenstein. 

6A11  heat  values  computed  by  Durig  (loc.  cit.,  p.  256),  assuming  respiratory  quotient  of  0.85. 
Corresponding  figures  assuming  a  quotient  of  0.75  were:  0.559,  0.373,  0.515,  and  0.358. 


SUMMARY    OF   RESULTS    OF    PREVIOUS    OBSERVATIONS. 


23 


experiments  on  horizontal  plane. 


Resting  value. 

Average 
weight 
moved. 

Distance  per  minute. 

Heat  computed  per  hori- 
zontal kilogrammeter. 

Range. 

Average. 

Range. 

Average. 

Sitting  6  hrs  after  food 

kilos. 
92.08 

72.00 

\  55.53 
1    58.00 
]    75.16 
[  57.30 

{  62.73 
1   78.25 
|    70.09 
[  68.77 

f  80.00 
|   88.20 
1  80.00 

72.60 
81.10 
80.00 
f  72.60 
\    81.10 
I  80.30 

72.94 

f  87.10 
1  66.40 

/  67.92 
\  72.93 

f1291.80 
\  1273.80 
[1282.50 
/1274.90 

\1278.70 

meters. 

meters. 
/  53.64 
\  80.46 

/  54.40 
\  54.40 

74.48 
61.80 
63.50 
65.05 

60.60 
50.10 
65.10 
32.00 

51.20 
42.00 
50.10 

62.00 
60.90 
56.40 
67.10 
60.54 
65.24 

56.76 
98.67 
140.11 

66.94 
35.92 
63.95 

34.58 

76.50 
73.50 

99.60 
85.56 
79.93 

84.21 
62.86 

gm.-caLs. 

gm.-cals. 
20.407 
2.468 

3.360 
3.356 

4.526 
4.786 
4.554 
4.426 

5.506 
s.337 
B.465 
6.324 

6.678 
6.616 
6.718 

.670 
.535 
.570 
.681 
.821 
.616 

9.554 
9.653 
91.072 

.527 
.560 
.553 
.558 

10.527 
10.509 

.527 
.584 
.663 
.668 

.774 

Sitting,  5  to  6  hrs.  after  food  .  .  . 

Standing,  leaning  against  tread- 
mill; with  food  (?). 

Sitting,  with  food       .  . 

56.00-  92.00 
51.00-  75.00 
58.00-  71.00 
64.00-  66.00 

58.70-  62.40 

0.506-0.506 

62.20-  67.90 

.503-   .427 

[Sitting 

P'Ruhewert'1  

47.80-  52.40 

61.60-  62.40 
59.00-  62.80 
54.50-  59.20 
61.80-  70.21 
59.40-  62.04 
63.21-  67.33 

f  53.45-  59.35 
|    92.41-103.40 
[135.  74-145.  53 

f  57.80-  80.15 
\  31.39-  39.91 
/  60.28-  66.88 
1  31.58-  37.23 

70.66-  89.21 
58.21-  82.38 

95.70-111.50 
57.34-  95.42 
78.66-  80.66 
66.26-  91.59 

1    60.03-  66.67 

6.606-   .803 

.635-   .705 
.511-   .560 
.446-   .636 
.651-   .724 
.759-   .877 
.548-   .712 

9.538-   .561 
9.621-    .693 
91.  015-1.  168 

.442-    .626 
.511-   .620 
.507-    .596 
.464-   .676 

\  Sitting                

.  .do.. 

Lying,  without  food  
"Ruhewert"               

Lying,  with  food  

Lying,  after  light  breakfast  .... 
Lying,  without  food  

.474-   .571 
.448-   .681 
.574-   .714 
.633-   .699 
.742-   .796 

do  

6Values  given  by  Durig  (loc.  cit.,  pp.  248  and  261).  Figures  for  treadmill  experiments  were 
corrected  by  Durig  for  angle  of  ascent. 

'Experiments  conducted  at  Berlin.  Experiments  conducted  at  Col  d'Olen. 

9A11  heat  values  calculated  by  Durig  (loc.  cit.,  p.  270). 

10Corrected  by  authors  for  slight  elevation  of  treadmill.  Values  for  load  experiments  may  be 
found  on  pages  247,  255,  and  278  of  the  original  publication,  but  not  corrected  for  angle  of  ascent 

nExperiments  conducted  at  Vienna. 

12Not  given  by  authors;  these  weights  were  accordingly  computed  from  other  data  which  had 
been  obtained  by  means  of  the  body  weight.  "Experiments  conducted  at  Capanna  Margherita. 


24 


ENERGY  TRANSFORMATIONS  DURING  HORIZONTAL  WALKING 


TABLE  1. — Historical  summary  of  walking 


Author,  date  of  publica- 
tion, and  subject. 

Condition  during 
walking. 

Method  of  measuring  respira- 
tory exchange. 

Kind  of  walking. 

Caspari,  1905: 
K.  M  

With  food  

Zuntz 

Zuntz  treadmill 

J.  B  

do  

do   .      . 

do 

Zuntz,  Loewy,  Miiller, 
and  Caspari,  1906: 
Waldenburg  

j 

Kolmer  

Miiller  

>  Without  food  .... 

Zuntz  and  Geppert;  presum- 

Zuntz treadmill.. 

Caspari    

J 

ably  wet  gas-meter. 

Dung,  1906: 
Frau  D.2  . 

] 

Frau  D.3  

[Without  food  .... 

Zuntz  and  Schumbur""  drv 

Free  path 

Durig3  

gas-meter  on  back. 

Durig,5    Kolmer, 
Rainer,  Reichel,  and 
Caspari,  1909: 

Durig2  

fWithout  food,  or 
J      after     cup     of 

>Zuntz  ;  dry  gas-meter  on  back  . 

Outdoors  

Durig6  

weak,  sweet- 
[     ened  tea. 

do  

do  . 

do 

Kolmer2  

do  

do 

do 

Rainer2  

do  

.do.. 

do 

Reichel2  

do  

do 

do 

Reichel6  

do  

do  

.do 

Amar,  1910: 
Arabs  

With  food 

Chauveau    valve'    dry    gas- 

Circular  path. 

Amar,  1911: 
S.  L 

10  to  12  hrs  after 

meter. 
Chauveau    valve  *    dry    gas- 

outdoors. 

Brezina   and    Kolmer,9 
1912: 
Brezina  

food. 

12  hrs.  after  food, 
or    at    least    2 
•j      hrs.    after   cup 

meter;  apparatus  on  table 
moved  with  subject. 

Dry    gas-meter    carried    by 
assistant  in  first  series  of 
experiments    and  in  last  3 

ters    in    each 
direction. 

Level  path  out- 
doors involv- 

of sweetened 
tea. 

series;  in  2d  and  3d  series, 
subject  carried  meter. 

ing  turns. 

'Average  values  as  corrected  by  the  authors. 

Experiments  conducted  at  Vienna. 

Experiments  conducted  at  Sporner  Alps. 

4Not  given  by  the  author,  but  computed  from  other  data  in  which  the  body  weight  was  involved. 
There  is  a  possible  error  of  about  2  kilograms  in  this  weight. 

8The  data  from  these  experiments  have  been  grouped  for  this  summary,  with  special  attention 
to  place  and  rate  of  walking. 

Experiments  conducted  at  Semmering. 


SUMMARY    OF   RESULTS    OF    PREVIOUS    OBSERVATIONS. 


25 


experiments  on  horizontal  plane — Continued. 


Resting  value. 

Average 
weight 
moved. 

Distance  per  minute. 

Heat  computed  per  hori- 
zontal kilogrammeter. 

Range. 

Average. 

Range. 

Average. 

Lvinsr. 

kilos. 
\  63.18 
\  63.47 
65.35 

f  74.08 
85.10 
87.40 
[  81.95 

[457.50 
\   63.38 
[  79.25 

I"  76.20 

[  76.10 

/  76.30 
\  76.50 

94.20 

75.40 

100.30 

f  95.45 
\  95.45 

/113.80 
\134.10 

f  66.00 
\  73.30 

f  70.10 
70.90 
\   69.90 
70.50 
[  70.50 

meters. 
134.90-142.90 
172.00-182.60 
122.20-135.70 

44.14-  78.85 
37.00-  48.45 
73.29-  86.52 
67.47-  82.69 

meters. 
139.40 
177.30 
131.70 

60.20 
43.16 

81.17 
76.76 

65.00 
71.90 
95.44 

90.10 
116.60 
126.00 
141.80 
152.50 

102.20 
107.90 

49.20 
66.30 
102.50 

47.20 
87.20 
115.80 
129.50 

88.20 

96.30 
103.70 

79.20 
74.80 

59.43 
55.06 

62.40 
88.90 
111.20 
125  .  20 
140.80 

gm.-cals. 
.952-1.018 
1  .  154-1  .  184 
.906-1.020 

gm.-cals. 
.979 
1.169 
.972 

J.636 
1.845 

^eis 

!.643 

.604 
.668 
.641 

.539 

.628 
.735 
.854 
1.023 

0.573 
.629 

.542 
.562 
.648 

.538 
.567 
.772 
.954 

.548 

.573 
.650 

7.308 
7.323 

8.410 
8.422 

9.534 
.574 
.743 
.846 
.971 

do                    

Lying,  without  food        .        .  . 

Lying    without  food          

66.07-  79.63 
88.49-  99.63 

72  .  30-102  .  30 
116.6 
1          126.0 
1          141.8 
[          152.5 

100.70-103.20 
105.40-110.30 

f           49.2 
62.40-  69.20 
[100.00-105.  20 

f           47.2 
1    76.90-  91.30 
|          115.8 
129.5 

59.30-100.80 

93.20-  99.20 
103.50-103.90 

72.00-  90.00 
72.00-  80.40 

32.40-  89.83 
30.33-  78.08 

46.10-  72.20 
81.80-  98.60 
103.10-115.80 
120.10-131.20 
140.60-141.00 

.629-    .691 
.620-   .660 

.517-   .559 
0.628 
.735 
.854 
1.023 

0.566-0.587 
.622-  .636 

0.542 
0.535-0.591 
.635-   .659 

0.538 
0.533-0.584 
0.772 
.954 

0.510-0.583 

.563-   .591 
.641-   .659 

.257-   .402 
.310-   .335 

.315-   .577 
.365-   .535 

.4844-  .6033 
.5615-  .5985 
.7266-  .7684 

.8172-  .8777 
.9347-1.0070 

Lvina  . 

do  

do  

do  

do  

do  

"Repos"  with  food  

Standing  or  sitting  

V'Erhaltungsumsatz"    of    1083 
J      gram-calories. 

7  Averages  computed  from  results  given  by  the  author  for  15  different  subjects.  The  results 
are  grouped  for  the  two  loads  carried. 

8A11  heat  values  computed  from  the  oxygen  increment  during  walking  as  given  by  the  author 
and  with  an  assumed  respiratory  quotient  of  0.85.  Assuming  a  quotient  of  0.75,  the  results  for 
the  two  series  are:  range  0.307  to  0.562;  average,  0.400;  range  0.356  to  0.521,  average  0.411. 

9The  results  in  each  of  these  series  have  been  grouped  for  this  summary  according  to  the  rates 
of  walking,  the  limit  of  the  first  group  being  set  at  about  80  meters  in  agreement  with  the  treat- 
ment given  the  material  in  the  original  publications.  The  values  for  distance  and  calories  are 
given  as  corrected  by  Brezina  and  Reichel. 


26 


ENERGY   TRANSFORMATIONS  DURING  HORIZONTAL  WALKING. 


TABLE  1. — Historical  summary  oj  walking 


Author,  date  of  publica- 
tion, and  subject. 

Condition  during 
walking. 

Method  of  measuring  respira- 
tory exchange. 

Kind  of  walking 

Brezina    and    Kolmer,1 
1912  (continued): 
Brezina  

f  12  hrs.  after  food, 
or    at    least    2 
\      hrs.    after   cup 

Dry    gas-meter    carried     by 
assistant   in  first  series  of 
experiments,  and  in  last  3 

Level  path  out- 
\     doors,  involv- 

Do           ... 

of  sweetened 
[     tea. 

do           

series;  in  2d  and  3d  series, 
subject  carried  meter. 

do  

. 
ing  turns. 

do  

Do  

do  

do  

do  

Do  

^ 

.  .do  

do  

do  

Do  

do   . 

do   

do  

Douglas,  Haldane,  Hen- 
derson and  Schneider, 
1913: 
Douglas 

With  food 

Douglas  bag 

fRoom  in  labora- 
1      tory    at    Ox- 

Do  

do  

.    .  .do  

]      ford  ;   circular 
[     path. 

{Railway    track, 
Pike's  Peak, 

Do  

do  

do  

back  and  forth. 

{Grass  track,  Ox- 
ford, back  and 

Brezina    and    Kolmer, 
1914: 
Brezina  

1  y^  hrs.  after  cup 
of  sweetened 

Zuntz        

forth. 
Zuntz  treadmill.  . 

Galeotti,  Barkan,  Giu- 
liani,    Higgins,    Sig- 
norelli,     and     Viale, 
1914: 
Barkan  .     .  . 

tea. 
1 

[Douglas  bag  

Half  indoors, 

Higgins  .... 

do 

half  outdoors, 

Signorelli   . 

>  Without  food  .... 

I  .        do. 
•  •  •  •    "  

with    a    turn 

Viale  

do 

(all  indoors  in 

[     bad  weather.) 

xThe  results  in  each  of  these  series  have  been  grouped  for  this  summary  according  to  the  rates 
of  walking,  the  limit  of  the  first  group  being  set  at  about  80  meters  in  agreement  with  the  treat- 
ment given  the  material  in  the  original  publications.  The  values  for  distance  and  calories  are 
given  as  corrected  by  Brezina  and  Reichel. 

2The  body-weights  in  all  the  series  with  Douglas  have  been  computed  from  the  distance  and 
the  total  oxygen  and  the  oxygen  per  kilogram  per  meter  as  given  by  the  authors.  The  subject's 
naked  weight  at  Oxford  was  about  63.5  kilograms;  at  Pike's  Peak,  60.8  kilograms. 


SUMMARY    OF   RESULTS   OF   PREVIOUS   OBSERVATIONS. 


27 


experiments  on  horizontal  plane — Continued. 


Resting  value. 

Average 
weight 
moved. 

Distance  per  minute. 

Heat  computed  per  hori- 
zontal kilogrammeter. 

Range. 

Average. 

Range. 

Average. 

kilos. 

meters. 

meters. 

ijm.-cals. 

gm.-cals. 

81.60 

37.40-  73.30 

53.10      0.4709-0.5278 

x.489 

j"Erhaltungsumsatz"   of    1083 
gram-calories. 

80.80 
1    81.00 
'    80.50 

78.20-  84.20 
92.80-  94.50 
105.7 

81.50 
93.40 
105  .  70 

.5040-  .5411 
.6088-  .6213 
0.7107 

.520 
.616 
.711 

81.00 

118.1 

118.10 

.9281 

.928 

81.00 

125.60-129.00 

127.30 

0.9626-0.9720 

.967 

[  91.20 

43.50-  77.70 

62.00 

.4502-  .5716 

J.506 

do  

1    91.30 

84.60-  94.90 

91  .00 

.5651-  .5933 

.581 

1    91.10 

104.70-105.10 

104.90 

.7232-  .7982 

.761 

[  92.25 

115.80-115.80 

115.80 

.9121-  .9122 

.912 

[103.50 

32.80-  74.00 

54.80 

.4766-  .5883 

!.529 

do  

1  103.  60       sfi  on-  qn  fin 

88.30   !      .5439-   .fU3fi 

.594 

103  .  20 

100.0 

100.00 

0.7256 

.726 

[lO.S.OO 

111.4 

111.40 

.9143 

.914 

do  

[112.60 

37.00-  76.70 

55.00 

0.5433-0.6391 

'.577 

J113.00 

78.10-  82.20 

80.20 

.5450-  .6778 

.611 

[113.00 

89.90-  94.70 

92.30 

.8143-  .8796 

.847 

.      .do   

/123.00 

48.60-  68.90 

58.80 

.5858-  .5884 

1.587 

\123.00 

90.9 

90.90 

0.7747 

.775 

'  272.45 

352.03-  54.18 

353  .  38 

30.366  -0.448 

3.402 

Standing,  with  food  

72.77 
73.76 

77.25-  82.88 
102.73-107.83 

81.00 
105.95 

.440  -  .490 
.523  -  .549 

.460 
.531 

72.73 

119.90-121.77 

120.97 

.638  -  .682 

.656 

72.78 

134.65-137.87 

136.26 

.889  -  .907 

.898 

270.71 

351.77-  54.98 

353  .  64 

3.524  -  .607 

3.562 

do.. 

70.48 

77.52-  81.55 

79.66 

.568  -  .634 

.600 

70.70 

102.73-111.32 

108.09 

.713  -  .862 

.789 

70.88 

112.67-116.15 

114.53 

.768  -  .897 

.833 

70.89 

132.77-132.77 

132  .  77 

.919  -  .964 

.942 

. 

'  272.94 

353.12-  54.98 

353  .  91 

3.547  -  .609 

3.571 

...  .do.. 

72.59 

79.13-  84.50 

82.88 

.588  -  .600 

.595 

73.77 

105.42-111.58 

108.36 

.704  -  .873 

.776 

• 

74.36 

120.43-126.33 

123.38 

.770  -1.009 

.897 

73.42 

130.63-139.48 

136.26 

.978  -1.126 

1.066 

[  71.60 

31.00-  51.70 

46.10 

.50     -  .56 

40.53 

"Ruhewert"  

1   83.80 

51.40-  55.20 

53.80 

.48      -  .56 

4    .50 

93.00 

49.40-  52.40 

51.10 

.42      -  .55 

4   .50 

[104.00 

30.1 

30.10 

0.51 

4   .51 

1 

{79.30 

86.70 

0.570  -0.395 

60  .  448 

f  Lying,  without  food  

68.00 

65.00 

5    .550 

69.50 

86.70 

.374  -  .398 

5    .386 

• 

78.50 

86.70 

5    .375 

3It  was  necessary  to  convert  the  distances  from  miles  to  meters  and  to  compute  the  heat  from 
the  oxygen  consumption. 

4Averages  of  individual  heat  values  given  for  the  groups  in  the  original  publication. 

6In  computing  all  heat  values  for  Barkan  and  Viale,  the  value  for  lying  without  food  was 
assumed  to  be  represented  by  255  c.c.  of  oxygen;  for  Signorelli,  225  c.c.  of  oxygen.  In  one 
experiment  with  Higgins,  a  corresponding  value  of  203  c.c.  of  carbon  dioxide  and  of  265  c.c.  of 
oxygen  was  obtained.  The  weight  of  the  clothing  and  the  Douglas  bag  was  about  7  kilograms 
in  each  case. 


28  ENERGY  TRANSFORMATIONS  DURING  HORIZONTAL  WALKING. 

treadmill;  the  basal  or  resting  value  for  the  individual  subjects;  the 
total  weight  of  the  material  moved  in  a  horizontal  direction,  including 
the  weight  of  the  body,  clothing,  apparatus,  and  any  supplementary 
weight  which  the  subject  may  have  carried;  the  distance  walked  per 
minute;  and  finally,  the  calories  per  horizontal  kilogrammeter. 

The  speed  of  the  walking,  which  is  shown  by  the  distance  walked  per 
minute,  is  a  factor  of  considerable  importance;  the  range  and  average 
are  therefore  both  given.  Whenever  there  is  a  great  difference  in  the 
speed  for  the  same  subject,  a  special  line  is  assigned  to  it.  Wide  varia- 
tions are  shown  in  the  average  distance  walked  per  minute  in  the  several 
researches,  the  figures  ranging  from  32  meters  in  the  Sonden  and 
Tigerstedt  experiments  published  in  1894  to  177.3  meters  in  an  experi- 
ment by  Caspari  reported  in  1905. 

As  a  result  of  a  careful  analysis  of  the  earlier  literature  of  Durig  and 
of  Zuntz  and  his  co-workers,  the  unit  adopted  for  expressing  the  work 
of  forward  progression  is  the  calories  required  to  move  1  kilogram  1 
meter  or,  as  we  shall  here  designate  it,  the  calories  per  horizontal  kilo- 
grammeter. The  range  and  average  are  both  given  for  these  values, 
but  the  average  values  have  here  the  greater  significance,  and  it  is  the 
last  column  of  the  table  which  we  shall  particularly  consider.  Examin- 
ing these  data,  we  find  that  they  range  from  0.308  gram-calorie  in  the 
series  of  experiments  made  by  Amar  and  reported  in  1910  to  1.169 
gram-calories  in  the  experiment  by  Caspari  published  in  1905.  Con- 
sidering the  varied  technique,  there  is,  on  the  whole,  a  rather  remark- 
able agreement  of  the  values  found  for  the  movement  of  1  kilogram  of 
body-weight  per  meter  in  a  horizontal  direction,  particularly  when  we 
consider  those  values  obtained  at  moderate  walking  speed. 

Comparing  the  data  for  the  average  distance  walked  per  minute  and 
those  for  the  average  calories  per  horizontal  kilogrammeter,  we  find 
that  the  rate  of  walking  has  a  considerable  influence  upon  the  results 
and  that  the  higher  values  are  invariably  found  with  the  greater  speeds, 
although  the  reverse  is  by  no  means  true.  In  general,  when  the  rate  of 
walking  does  not  exceed  80  to  90  meters  per  minute,  the  values  lie 
between  0.3  and  0.7  gram-calorie,  with  a  distinct  tendency  for  them 
to  approach  0.55  gram-calorie.  This  value  has  been  especially  con- 
sidered by  Durig  in  his  admirable  review  of  the  literature  of  this 
subject.  It  is  clear,  then,  that  we  have  here  to  do  with  an  intimate 
relationship  between  the  rate  of  walking  and  the  expenditure  of  energy 
required  to  move  1  kilogram  1  meter  in  a  horizontal  direction,  and  that 
the  superimposed  load  has  relatively  little  influence  upon  the  results. 


METHODS   AND  APPARATUS.  29 

METHODS  AND  APPARATUS  FOR  STUDIES  OF 
MUSCULAR  WORK. 

Judging  from  the  results  as  published  in  the  earlier  literature  and 
summarized  in  the  preceding  section,  there  is  apparently  little  choice 
as  to  the  various  methods  of  study.  A  large  majority  of  the  observa- 
tions have  been  made  with  the  Zuntz  respiration  apparatus  or  some  of 
its  modifications;  it  is  obvious  that  any  criticisms  applying  to  this 
apparatus  affect  greatly  the  averages  of  the  values  obtained  with  it. 
While  the  construction  of  the  Zuntz  apparatus  and  the  various  types 
of  valves,  particularly  the  later  form  of  valve  used  by  Durig,  is  such  as 
to  eliminate  resistance  as  far  as  possible,  nevertheless  the  employment 
of  this  type  of  apparatus  for  studying  muscular  work  is  distinctly  open 
to  criticism. 

The  use  of  a  wet  gas-meter  of  the  size  ordinarily  employed  with  the 
Zuntz  respiration  apparatus  may  be  seriously  objected  to  for  muscular- 
work  experiments,  since  in  these  experiments  the  volumes  of  expired 
air  may  exceed  80  or  90  liters  per  minute.  The  calibration  of  such  a 
meter  at  the  rate  of  ventilation  used  in  severe-work  experiments  is 
by  no  means  a  simple  matter,  the  ordinary  method  being  to  allow  the 
water  in  a  10-liter  spirometer  to  flow  out  and  draw  the  air  in  after  it. 
On  the  ordinary  Elster  gas-meter  10  liters  correspond  to  one  or  at  most 
two  revolutions  of  the  drum,  and  the  possibilities  of  error  at  the  begin- 
ning and  the  end  in  tests  of  this  kind  are  obvious.  Indeed,  both  Durig 
and  Zuntz  have  recognized  this  difficulty  and,  to  avoid  errors  in  the 
measurement  of  the  large  volume  of  air  expired  from  the  lungs,  have 
made  experiments  with  a  very  large  gas-meter  formerly  used  in  studies 
with  horses.  If  the  value  obtained  for  the  volume  of  air  be  too  small 
(and  the  error,  if  any,  would  be  in  this  direction),  obviously  that  for  the 
total  metabolism  will  likewise  be  too  small,  and  hence  the  values  com- 
puted for  the  horizontal  kilogrammeter  will  be  too  low. 

The  importance  of  knowing  the  energy  requirement  of  the  body  for 
direct  forward  progression  is  so  great  as  to  justify  further  observations 
upon  it,  particularly  if  an  apparatus  is  used  in  which  an  entirely  dif- 
ferent principle  is  employed  for  measuring  the  metabolism.  One  of 
the  main  lines  of  research  planned  for  the  Nutrition  Laboratory  is  a 
study  of  muscular  work  in  its  various  phases.  Obviously  innumerable 
problems,  of  both  physiological  and  economic  importance,  can  be 
studied  with  suitable  apparatus.  A  special  calorimeter  has  been 
constructed  in  this  laboratory  for  research  on  muscular  work,  but  it  is 
not  yet  ready  for  actual  use.  Prior  to  experimentation  with  this 
calorimeter,  it  seemed  important  to  make  a  number  of  preliminary 
studies  of  the  metabolism  during  muscular  work  with  the  universal 
respiration  apparatus.  This  apparatus  had  previously  been  used  in  a 
study  of  the  metabolism  incidental  to  riding  a  bicycle  ergometer,  in 


30  ENERGY  TRANSFORMATIONS  DURING  HORIZONTAL  WALKING. 

which  it  was  shown  that  it  was  capable  of  measuring  the  metabolism 
with  an  oxygen  consumption  as  high  as  3  liters  per  minute.1  Careful 
control  tests  of  the  apparatus  have  proved  conclusively  that,  so  far  as  the 
mechanical  construction  is  concerned,  the  measurement  of  the  carbon- 
dioxide  production  and  the  oxygen  consumption  is  accurate. 

As  a  part  of  the  plan  for  studying  the  metabolism  during  the  various 
phases  of  muscular  work,  a  special  type  of  treadmill  was  devised  and 
constructed  in  this  laboratory  several  years  previous  to  the  present 
research.  Certain  features  of  this  treadmill,  which  will  be  described 
subsequently,  make  it  especially  applicable  for  use  in  experiments  with 
men.  Having,  therefore,  an  exceptionally  satisfactory  treadmill  and 
a  respiration  apparatus  capable  of  measuring  the  metabolism  incidental 
to  severe  muscular  work,  it  was  possible,  in  1913-14,  to  make  a  study 
of  the  metabolism  of  a  subject  while  he  was  walking  on  a  level. 

As  soon  as  the  respiration  calorimeter  for  muscular  work  is  ready  for 
use,  the  treadmill  will  be  placed  inside  this  apparatus  and  certain  of 
the  experiments  repeated.  The  indirect  calorimetry  computed  from 
the  gaseous  exchange  as  measured  by  the  respiration  apparatus  can 
thus  be  controlled  by  direct  determinations  of  the  energy  output. 
This  control  is  of  particular  importance,  since  the  use  of  any  form  of 
respiration  appliance,  such  as  a  mouthpiece  or  nosepieces,  is  open  to 
legitimate  criticism  in  that  the  use  of  such  artificial  methods  of  breath- 
ing, particularly  with  a  very  great  ventilation  of  the  lungs,  may  lead  to 
a  disturbance  in  the  mechanics  of  ventilation,  thus  causing  a  distur- 
bance in  the  respiratory  exchange.  Although  the  universal  respiration 
apparatus  has  been  carefully  controlled  as  to  the  measurement  of  both 
carbon  dioxide  and  oxygen,  nevertheless  if  there  is  a  disturbance  in  the 
mechanics  of  ventilation,  as,  for  instance,  an  over-ventilation  of  the 
lungs,  there  may  be  a  considerable  amount  of  carbon  dioxide  exhaled 
that  was  not  simultaneously  produced.  The  retention  of  carbon 
dioxide  by  altered  respiratory  mechanics  is  also  not  improbable.  By 
means  of  the  studies  with  the  respiration  calorimeter,  therefore,  it  will 
be  possible  not  only  to  determine  the  metabolism  by  direct  calorimetry, 
but  also  to  obtain  the  gaseous  exchange  with  free  breathing  without 
the  use  of  either  mouth  or  nose  appliance. 

It  should  furthermore  be  borne  in  mind  that  while  the  method  of 
computing  the  calorimetry  from  the  gaseous  exchange  has,  according 
to  our  experience  up  to  the  present  time,  given  highly  satisfactory 
results  with  muscular  repose,  there  is  always  the  possibility  of  a  dis- 
turbance in  the  character  of  the  metabolism  during  severe  muscular 
work  and  a  consequent  disturbance  in  the  relationship  between  the 
gaseous  exchange  and  total  heat  production.  It  is  thus  seen  that  the 
final  tests  with  the  respiration  calorimeter  are  essential  for  a  complete 
understanding  of  this  problem.  On  the  other  hand,  the  previous 

Benedict  and  Cathcart,  Carnegie  Inst.  Wash.  Pub.  No.  187,  1913. 


DESCRIPTION   OF   APPARATUS.  31 

research  with  the  professional  bicycle  rider,  in  which  the  universal  res- 
piration apparatus  was  employed,  was  so  successful  and  the  problem  of 
the  metabolism  during  the  work  of  forward  progression  is  so  important 
that,  pending  the  completion  and  testing  of  the  special  calorimeter,  the 
study  of  this  problem  with  the  universal  respiration  apparatus  and  the 
treadmill  has  seemed  entirely  justifiable. 

DESCRIPTION  OF  APPARATUS  USED  IN  THIS  RESEARCH. 
UNIVERSAL  RESPIRATION  APPARATUS. 

The  researches  of  Zuntz  and  his  co-workers  have  shown  that  in  walk- 
ing at  a  somewhat  high  rate  of  speed  and  carrying  a  load,  the  amount  of 
muscular  exertion  required,  even  on  a  level  path,  is  very  considerable, 
approximating  that  required  for  bicycle  riding  under  severe  stress. 
Obviously,  therefore,  any  respiration  apparatus  used  in  a  study  of  the 
metabolism  under  these  conditions  must  be  capable  of  accurately 
measuring  a  maximum  oxygen  consumption  per  minute  of  3,000  c.c. 
and  a  maximum  carbon-dioxide  production  of  2,500  c.c.  Fortunately 
the  modified  form  of  the  universal  respiration  apparatus  employed  by 
Cathcart  had  already  demonstrated  its  ability  to  fulfill  these  conditions. 
The  form  of  apparatus  used  in  this  later  research  was  therefore  essen- 
tially that  employed  for  the  earlier  study.1  A  general  view  of  the 
apparatus  with  its  relations  to  the  subject  and  the  accessory  apparatus 
is  shown  in  figure  1. 

Since  the  completion  of  the  research  on  the  bicycle  rider,  various 
minor  modifications  have  been  made  in  the  apparatus,  chiefly  with  a 
view  to  facilitating  operation  and  contributing  to  its  accuracy.  Certain 
other  changes  were  also  necessary  to  adapt  it  to  the  type  of  experiment 
planned  for  this  research,  namely,  walking  upon  a  treadmill  at  varying 
rates  of  speed.  These  changes  were  considered  of  sufficient  importance 
for  us  to  give  here  a  schematic  outline  of  the  apparatus  as  actually 
employed  in  the  research.  (See  figure  2.) 

As  will  be  seen  from  the  diagram  in  figure  2,  by  turning  a  3-way 
valve  N,  the  subject,  breathing  through  a  mouthpiece  P,  can  be  con- 
nected with  the  ventilating  air-current,  which  is  kept  in  motion  by  a 
rotary  blower.  The  air  leaving  the  blower  is  first  passed  through  a 
glass  Williams  bottle  which  serves  as  a  safety  trap  against  back-suction 
of  acid.  The  air  is  next  forced  through  two  Williams  bottles,  each 
having  a  capacity  of  2.5  liters  and  half  filled  with  sulphuric  acid, 
which  removes  the  moisture  from  the  air.  The  ventilating  current 
is  then  deflected  by  means  of  the  2-way  valve  V1  into  either  one  of  two 

xBrezina  and  Kolmer  in  a  recent  paper  from  Durig'a  laboratory  (Biochem.  Zeitschr.,  1914,  65,  p. 
33)  have  questioned  the  accuracy  of  the  respiratory  quotients  obtained  with  this  apparatus  by 
Benedict  and  Cathcart  in  their  study  of  a  bicycle  rider.  Dung  in  a  private  communication  says 
that  the  method  used  by  Benedict  and  Cathcart  for  obtaining  the  respiratory  quotients  was  accu- 
rate and  that  the  criticisms  of  Brezina  and  Kolmer  were  founded  upon  an  insufficient  study  of  the 
results. 


32 


ENERGY  TRANSFORMATIONS  DURING  HORIZONTAL  WALKING. 


carbon-dioxide  absorbing  systems.  Each  series  of  absorbers  include 
two  bottles  filled  with  moist  soda  lime  for  absorbing  the  carbon  dioxide, 
and  also  a  small  Williams  bottle,  containing  sulphuric  acid  to  absorb 
the  moisture  given  up  to  the  dry  air  by  the  soda  lime.  The  air,  which 
is  at  this  point  free  from  carbon  dioxide  and  water,  passes  through  the 
2-way  valve  Vz,  and  after  being  moistened  in  a  small  Williams  bottle 
to  a  comfortable  degree  for  respiration,  it  continues  until  it  passes 


FIG.  1. — General  view  of  apparatus  used  for  walking  experiments,  with  subject  in  position. 
A,  absorption  apparatus;  B,  treadmill;  C  and  D,  oxygen  supply;  E,  step  counter  and 

accessory  apparatus. 

by  the  opening  of  the  tube  connected  with  the  mouthpiece  P  and  into 
the  tension  equalizer.  This  tension  equalizer  is  a  large  copper  can, 
over  the  top  of  which  is  fitted  a  rubber  bathing-cap.  From  this  copper 
can  the  air  finally  returns  to  the  intake  side  of  the  blower,  oxygen  being 
admitted  as  required  from  a  cylinder  of  the  gas.  Thus  we  have  a  com- 
plete closed-circuit  system,  with  the  rubber  bathing-cap  acting  as  a 
tension  equalizer  to  compensate  for  changes  in  the  volume  of  air  as  the 
subject  breathes  in  and  out. 


DESCRIPTION    OF   APPARATUS.  33 

The  algebraic  increase  in  weight  of  the  soda-lime  bottles  and  the 
following  Williams  bottle  in  the  carbon-dioxide  absorbing  system  gives 
the  weight  of  the  carbon  dioxide  absorbed  during  the  experimental 
period.  The  volume  of  oxygen  introduced  may  be  determined  from 
the  loss  in  weight  of  a  small  cylinder  or,  as  indicated  in  figure  1 ,  meas- 
ured by  conducting  it  from  a  large  cylinder  through  a  carefully  calibrated 
gas-meter  which  is  immersed  in  water  to  prevent  sudden  fluctuations  in 
temperature.  To  prove  the  efficacy  of  the  soda  lime  as  an  absorbent, 
a  part  of  the  air  current  may  be  deflected  through  two  petcocks  and 
passed  through  a  solution  of  barium  hydroxide  in  a  small  Erlenmeyer 
flask.  The  slightest  trace  of  carbon  dioxide  will  produce  a  turbidity 
in  the  solution. 

To  eliminate  the  effect  of  the  long  dead  space  between  the  mouth- 
piece, P,  and  the  main  ventilating  air-pipe,  a  supplementary  pipe  E  is 
connected  from  a  point  near  the  mouthpiece  to  the  main  air-pipe.  By 
this  means  the  air-current  may  be  deflected  so  that  it  will  pass  directly 
by  the  mouthpiece  and  within  a  few  centimeters  of  the  lips  of  the  sub- 
ject. The  rubber  tubes  connecting  the  subject  with  the  ventilating 
system  are  of  sufficient  length  and  flexibility  to  permit  considerable 
lateral  and  vertical  head-motion  by  the  subject  while  walking,  this 
being  essential  to  his  comfort. 

In  actual  experimenting,  before  the  experimental  period  is  begun, 
the  3-way  valve  N  is  so  turned  that  the  subject  breathes  room  air. 
Then,  at  the  end  of  a  normal  expiration,  the  3-way  valve  is  again  turned, 
connecting  the  subject  with  the  main  ventilating  air-current  as  seen  in 
the  diagram.  Immediately  afterwards  the  valve  M  (which  has  previ- 
ously been  open,  giving  free  passage  of  the  air  into  the  metal  tee  leading 
to  the  tension  equalizer)  is  also  turned,  thus  deflecting  the  air-current 
through  the  supplementary  pipe  E,  so  that  it  passes  near  the  mouth  of 
the  subject. 

Before  connecting  the  subject  with  the  ventilating  system,  the  motor 
is  started  to  equalize  pressure  throughout  the  system  and  then  stopped. 
Sufficient  oxygen  is  next  admitted  to  distend  the  rubber  bathing-cap 
until  a  slight  positive  pressure  is  observed  on  the  manometer.  On 
starting  the  blower  again,  the  rubber  bathing-cap  sinks  somewhat,  due 
to  the  compression  of  the  air  in  forcing  its  way  through  the  sulphuric 
acid  and  the  various  absorbing-vessels.  At  the  first  inspiration  the 
rubber  cap  sinks  down  into  the  can,  rising  again  with  each  expiration. 
As  the  oxygen  is  consumed,  the  height  to  which  the  rubber  cap  fills 
decreases  and  oxygen  is  admitted  to  keep  the  fluctuations  of  the 
bathing-cap  to  approximately  the  same  range.  At  the  conclusion  of 
the  experiment,  the  valve  M  is  first  turned  and  shortly  afterwards  the 
valve  N  is  also  turned,  always  at  the  end  of  a  normal  expiration.  At 
this  point  the  experimental  period  is  concluded  so  far  as  the  subject  is 
concerned.  The  motor  is  next  allowed  to  run  for  a  minute  or  two  to 


34 


ENERGY  TRANSFORMATIONS  DURING  HORIZONTAL  WALKING. 


sweep  out  completely  the  carbon  dioxide  in  the  system.  When  the 
motor  is  stopped  sufficient  oxygen  is  admitted  to  bring  the  tension  to 
the  original  point;  the  volume  of  air  in  the  system  is  then  exactly  the 
same  as  at  the  beginning.  The  carbon-dioxide  absorbers  and  the  accom- 
panying Williams  bottle  are  weighed  and  a  reading  taken  of  the  amount 
of  oxygen  which  has  passed  through  the  gas-meter,  the  data  being  used 
subsequently  for  computing  the  carbon  dioxide  produced  and  the 
oxygen  consumed  during  the  experimental  period. 


MANOMETER  BaOH,  MOISTEN  ER 


HaS04  H2S04  TRAP  METER 

FIG.  2. — Schematic  outline  of  universal  respiration  apparatus. 

The  general  course  of  the  ventilating  current  is  shown  by  arrows.  P,  mouthpiece;  N,  3-way 
valve  connecting  subject  with  ventilating  current;  V1  and  V2,  2- way  valves  for  carbon- 
dioxide  absorbing  system;  M,  valve  connecting  with  supplementary  pipe  E  for  eliminating 
the  dead-air  space;  S,  petcock  connection  for  tambour  and  kymograph  for  recording  the 
respiration. 

TREADMILL. 

In  many  of  the  earlier  investigations  for  measuring  the  carbon- 
dioxide  output  and  oxygen  consumption  of  a  walking  man,  the  subject 
has  been  obliged  to  carry  a  respiration  apparatus  upon  his  back  or 
drag  behind  him  a  long  tube  attached  to  the  breathing  appliance. 
In  other  studies  the  apparatus  has  been  pushed  along  behind  the 
subject  by  an  assistant.  Obviously  none  of  these  methods  are  suitable 
for  experiments  in  which  there  is  rapid  movement.  Furthermore, 
while  we  have  no  desire  to  minimize  the  value  of  the  Zuntz  apparatus— 
an  apparatus  which  has  contributed  largely  to  our  knowledge  of  the 
physiology  of  man,  particularly  for  high  altitudes — it  should  be  said 
that  the  transportation  of  an  unwieldy  gas-meter  and  accessory  appa- 
ratus by  a  subject  is  open  to  serious  objection.  It  has  been  shown 


DESCRIPTION    OF    APPARATUS. 


35 


by  Zuntz  and  his  co-workers  that  a  subject  may  be  trained  in  a  rela- 
tively short  time  to  carry  such  an  apparatus  successfully;  nevertheless 
its  transportation  is  at  best  difficult,  and  the  method  is  more  fitted  for 
studies  of  that  type  of  walking  in  which  loads  would  normally  be  carried 
upon  the  back.  Both  Zuntz  and  Durig  have  shown  that  they  recognize 
this  fact,  as  they  have  made  studies  in  which  the  gas-meter  was  not 
carried  by  the  subject,  and  the  walking  was  done  upon  a  treadmill. 

Several  years  previous  to  our  research,  Mr.  E.  H.  Metcalf,  then  a 
member  of  the  staff  of  the  Nutrition  Laboratory,  designed  a  tread- 
mill and  had  it  constructed  under  his  supervision  in  the  machine-shop 
of  the  Laboratory.  This  treadmill  was  used  for  the  first  time  in  the 
research  carried  out  in  1913-14  and  the  fact  that  it  satisfactorily  sus- 
tained a  severe  test  at  this  time  testifies  to  the  designing  ability  of  Mr. 
Metcalf  and  the  constructive  skill  of  Mr.  W.  E.  Collins,  the  mechan- 
ician of  the  Laboratory.  A  general  view  of  the  treadmill  and  its  dispo- 
sition with  regard  to  the  other  apparatus  is  shown  in  figure  1.  A  more 
detailed  perspective  drawing  is  given  in  figure  3. 


FIG.  3. — Treadmill  designed  by  E.  H.  Metcalf. 

The  endless  leather  belt  travels  over  two  wooden  pulleys  A  and  B,  the  actuating  mechanism 
being  an  electric  motor.  The  tension  on  the  belt  may  be  adjusted  by  the  bolt  and  nut  C. 
A  revolution  counter  is  shown  at  R. 

The  treadmill  is  provided  with  an  endless  belt,  60  cm.  wide,  435 
cm.  long,  and  approximately  10  mm.  thick.  This  belt  travels  over 
two  wooden  pulleys,  A  and  B,  having  a  width  of  60  cm.  and  a 
diameter  of  41  cm.  The  pulleys  are  supported  on  ball  bearings  at  the 
ends  of  a  wooden  frame.  On  the  rear  pulley  is  attached  a  sprocket- 
wheel,  which  connects  with  the  reducing-gear  actuated  by  a  one-half 
horsepower  electric  motor.  The  tension  on  the  belt  may  be  easily 
adjusted  by  means  of  the  screw  C,  thus  preventing  the  belt  from  slip- 
ping. To  support  the  belt  between  the  pulleys  and  provide  a  surface 
for  the  man  to  walk  upon,  steel  tubes,  46  in  number,  with  an  external 
diameter  of  25  mm.  and  a  length  of  61  cm.,  are  set  into  a  steel  frame- 
work, the  distance  between  the  centers  of  the  tubes  being  27  mm. 
These  steel  tubes  are  fitted  at  each  end  with  annular  steel  ball  bearings. 


36  ENERGY  TRANSFORMATIONS  DURING  HORIZONTAL  WALKING. 

The  detail  of  the  bearings  is  given  in  figure  4,  which  shows  the  method 
of  support  on  the  angle  frame  of  the  treadmill.  The  thick  belt  thus 
rests  upon  a  rolling,  frictionless  surface  throughout  the  whole  length  of 
the  space  over  which  the  man  is  to  walk,  providing  a  substantial, 
perfectly  smooth  path  for  the  subject.  It  is  impossible  to  feel  the 
numerous  steel  rolls,  as  the  space  between  them  is  so  small.  The 
leather  belt  gives  a  particularly  satisfactory  footing.  The  speed  of  the 
motor  may  be  modified  at  will  and  tests  may  be  made  at  rates  of  speed 
varying  from  less  than  50  meters  per  minute,  the  equivalent  of  a  very 
slow  walk,  to  150  meters  per  minute,  or  a  rapid  walk,  if  not,  indeed, 
running. 

Since  the  driving  of  the  treadmill  belt  is  from  the  rear  wheel,  all  tend- 
ency to  slip  is  at  this  point.  Consequently,  by  counting  the  revolutions 
of  the  forward  wheel,  where  no  slip  can  possibly  take  place,  we  have  an 
accurate  measure  of  the  total  distance  traveled.  Upon  the  periphery 
of  the  forward  wheel  are  attached  two  revolution  counters  (one  on 
each  side)1  which  can  be  read  intermittently.  One  runs  continuously; 
the  other  may  be  connected  or  disconnected  at  will.  In  use,  the 
subject  walks  upon  the  treadmill  for  several  minutes  before  the  experi- 
mental period  commences.  At  the  exact  moment  of  beginning  the 
measurements  of  the  respiratory  exchange,  one  of  the  revolution 
counters  is  put  in  action,  so  that  the  distance  covered  during  the 
period  is  accurately  known.  It  is  thus  unnecessary  to  assume  con- 
stancy in  the  revolution  of  the  motor  or  to  apportion  the  distance 
walked  during  the  period  from  the  total  measurement  of  the  revolutions 
of  the  front  wheel  during  the  entire  time  the  subject  is  walking. 

Considering  the  number  of  the  various  bearings  and  the  size  of  the 
apparatus  it  produces  much  less  noise  and  vibration  than  any  treadmill 
that  we  have  thus  far  seen.  By  means  of  adjusting  screws  at  the  for- 
ward end  of  the  treadmill,  which  are  not  shown  in  figure  3,  any  desired 
elevation  can  be  readily  secured.  In  this  research,  however,  the  tread- 
mill was  invariably  used  in  a  perfectly  level  position.  At  the  date  of 
writing  (June  1915),  after  two  years  of  use,  the  apparatus  shows  no 
signs  of  wear  and  gives  most  satisfactory  service. 

ACCESSORY  APPARATUS. 

The  universal  respiration  apparatus  and  the  treadmill  provide  accu- 
rate measurements  of  the  total  carbon-dioxide  production  and  the 
oxygen  consumption  and  of  the  distance  walked  by  the  subject.  In 
addition  to  this,  certain  observations  are  important,  particularly  in 
studying  the  physiology  of  walking,  and  it  was  therefore  necessary  to 
have  some  means  of  recording  accurately  the  respiration,  the  pulse, 
the  number  of  steps  taken  by  the  subject,  and  the  height  to  which  the 
body  was  raised  with  each  step. 

'But  one  of  these  (R)  is  shown  in  figure  3. 


DESCRIPTION   OF   APPARATUS.  37 

METHOD  OF  RECORDING  THE  RESPIRATION-RATE. 

The  rise  and  fall  of  the  rubber  bag  or  tension  equalizer  with  each 
expiration  and  inspiration  can  be  readily  counted  by  an  observer, 
thus  giving  an  admirable  index  of  the  respiration.  As  a  matter  of 
fact,  during  the  conduct  of  a  severe-work  experiment  of  this  type,  the 
other  observations  are  so  numerous  that  it  is  at  best  very  difficult  for 
an  observer  to  concentrate  his  attention  upon  such  counting.  A 
tambour  has  therefore  been  connected  to  the  petcock  S  (see  fig.  2) 
which  is  moved  by  the  difference  in  pressure  existing  in  the  connection 
between  the  mouthpiece  and  the  tension  equalizer.  With  each  exhala- 
tion a  slight  pressure  is  exerted  upon  the  tambour  which  records  upon 
a  kymograph  drum.  Subsequently  an  accurate  count  of  the  number  of 
respirations  per  minute  and  for  the  entire  experimental  period  may  be 
made  from  the  tambour  record  and  that  of  a  time  marker. 

METHOD  OF  RECORDING  THE  PULSE-RATE. 

The  important  relationship  between  total  metabolism  and  the  pulse- 
rate,  which  has  been  so  frequently  observed  in  this  Laboratory,  made  it 
desirable  to  secure  records  of  the  pulse-rate  of  the  subject  during  the 
walking  periods.  The  difficulties  experienced  in  securing  counts  of  the 
pulse-rate  in  the  earlier  research  with  the  bicycle  rider  have  been  freely 
commented  upon  in  the  publication  giving  the  report  of  that  study,  and 
it  was  hoped  that  some  graphic  method  could  be  found  which  would  give 
accurate  records  of  the  pulse-rate  of  a  walking  man.  Unfortunately 
such  a  method  was  not  available  at  the  beginning  of  our  research,  and 
counts  were  therefore  made  at  the  wrist  or  with  a  stethoscope.  Even 
with  a  stethoscope  at  some  distance,  as  employed  by  Krogh,1  the  noise 
of  the  treadmill  was  such  as  to  make  the  counting  of  the  pulse-rate 
extremely  difficult.  Various  forms  of  tambours2  were  also  experimented 
with  in  an  attempt  to  register  the  pulse  graphically,  but  without  result. 
Finally,  by  using  body  leads  and  the  Bock-Thoma  oscillograph  or  the 
Einthoven  string  galvanometer,  we  were  able  to  secure  graphic  records 
of  the  pulse-rate  of  the  subject  while  he  was  walking  upon  the  treadmill. 

Great  difficulty  was  experienced  in  such  photographic  registration 
with  the  delicate  oscillograph  and  string  galvanometer,  for  not  only 
were  there  leakages  of  the  220-  volt  current  used  for  the  motor,  but  also 
a  static  charge  on  the  rapidly  revolving  belt.  Various  devices  were 
used  for  obviating  these  difficulties,  such  as  having  the  subject  wear 
rubber-soled  shoes  and  even  rubbers  over  the  shoes,  but  with  little 
success.  Finally  a  metallic  brush  was  made  of  a  piece  of  brass  tubing, 
69  cm.  long,  to  which  pieces  of  brass  chain,  7  to  9  cm.  long,  were 
attached  at  intervals  of  approximately  1.5  cm.  This  brush  was  so 
attached  to  the  treadmill  that  the  ends  of  the  chains  lay  upon  the 


,  Skand.  Archiv  f.  Physiol.,  1913,  30,  p.  375. 
2Bowen,  Contributions  to  Medical  Research  dedicated  to  Victor  Clarence  Vaughan,  June  1903, 
p.  462,  Ann  Arbor,  Mich. 


38 


ENERGY  TRANSFORMATIONS  DURING  HORIZONTAL  WALKING. 


surface  of  the  leather  belt.  As  one  end  of  the  chain  brush  was  grounded 
to  the  brass  tube,  when  the  ends  of  the  chain  dragged  over  the  surface 
of  the  revolving  belt  the  stray  electric  currents  were  picked  up  and 
grounded.  Satisfactory  records  could  thus  be  obtained.  Unfor- 
tunately the  conditions  of  the  experimental  work  in  the  Laboratory 
at  that  time  prevented  our  freeing  a  galvanometer  and  oscillograph 
for  the  particular  purpose  of  determining  the  pulse-rate;  consequently 
records  could  not  be  regularly  secured.  Indeed,  the  few  observations 
obtained  were  of  so  striking  a  character  that  we  can  not  adequately 
discuss  them  in  this  monograph.1 

STEP  COUNTER. 

With  a  steady  electric  current,  the  rate  of  revolution  of  the  treadmill 
per  minute  is  presumably  fairly  constant  and  the  length  of  the  steps 
in  ordinary  walking  is  also  doubtless  approximately  the  same ;  neverthe- 
less it  is  important  to  show  in  these  tests  the  exact  number  of  steps 
-taken,  so  as  to  indicate  the  distance  per  step  and  thus  furnish  an  added 
factor  for  analyzing  the  mechanics  and  physiology  of  walking.  To 
count  the  steps  automatically  was  imperative,  as  even  with  several 
assistants  an  accurate  record  of  the  steps  during  exceedingly  rapid 


FIG.  4. 


FIG.  5. 


FIG.  4. — Detail  of  ball  bearing  for  steel  tubes  on  the  treadmill. 

FIG.  5. — Step  counter.  A  pulley  A  is  attached  to  the  extended  shaft  of  a  revolution  counter; 
a  small  cord  passes  over  this  pulley  and  is  protected  by  a  guard  C.  The  shaft  automat- 
ically stops  at  B  and  B'. 

walking  would  be  very  difficult  to  obtain.  A  small  device  was  there- 
fore employed  which  counted  automatically  each  vertical  motion  of 
the  body  produced  in  walking. 

To  a  belt  about  the  waist  of  the  subject  was  attached  a  cord  leading 
over  two  pulleys  on  the  ceiling  to  a  small  spring  which  maintained 
a  tension  on  the  cord.  The  general  arrangement  of  this  device  is  shown 
in  figure  1  and  the  details  in  figures  5  and  6.  At  each  step  the  sub- 
ject lifted  the  body  a  certain  distance  and  lowered  it  again.  Advan- 
tage was  taken  of  this  lifting  and  lowering  of  the  body  to  raise  and  lower 
a  small  weight  (E,  fig.  6)  at  the  end  of  a  cord  which  rested  upon  a  pulley 
(A,  fig.  5,  and  D,  fig.  6)  on  the  shaft  of  a  revolution  counter  (see  fig.  5). 


'See  pp.  85  and  92. 


DESCRIPTION   OF   APPARATUS. 


39 


Automatic  stops,  B  and  B',  controlled  the  distance  traveled  by  the 
pulley.  At  each  upward  movement  of  the  body  the  cord  was  lowered 
and  the  counter  pulled  in  one  direction  to  the  stop,  the  cord  simply 
slipping  over  the  pulley  if  the  movement  continued.  As  the  body 
returned  to  its  ordinary  position,  the  weight  drew  the  counter  back  to 
the  second  stop.  In  this  way  each  upward  movement  of  the  body  was 
accurately  recorded. 

Records  obtained  with  this  counter  of  the  number  of  steps  taken  by 
one  of  our  subjects  in  several  walking  experiments  are  given  in  table  2. 
These  are  compared  with  the  number  of  steps  counted  for  the  same 
periods  from  kymograph  records  obtained  by  a  method  subsequently 
described.1  A  large  number  of  controls,  which  were  made  by  counting 
the  movements  of  the  body  from  the  kymograph  records  and  by  obser- 
vations of  the  counter,  showed  that  this  step-counter  could  be  relied 
upon. 

TABLE  2. — Comparison  of  steps  recorded  by  step-counter  with  those  counted  from 

kymograph  records. 


Total  number  of  steps. 

Distance 

Steps 

Date. 

Period 

(meters) 

per 

Counted  from  kymo- 

No. 

per 
minute. 

minute 
(counter). 

Counter 

graph  record  by 

recorci. 

Observer 

Observer 

I. 

II. 

1914 

Apr.  24  .... 

[1 

76.4 
78.4 

116.2 
117.1 

1,687 
1,452 

1,700 
1,454 

1,704 
1,444 

Apr.  27  

(I 

73.5 
78.1 

114.8 
116.0 

1,596 

1,442 

1,588 
1,418 

1,596 
1,400 

1 

114.5 

138.3 

1,470 

1,472 

1,472 

May    4  .... 

2 

109.1 

133.9 

1,491 

1,508 

1,516 

I     3 

102.0 

127.8 

1,459 

1,476 

1,458 

f     2 

106.0 

133.1 

1,338 

1,340 

1,356 

May    5.  ... 

J      i 

\ 

102.6 

126.5 

1,402 

1,428 

1,420 

(4            103  .  6 

126.3 

1,269 

1,274 

1,262 

METHOD  OF  MEASURING  HEIGHT  TO  WHICH  THE  BODY  IS  RAISED. 

One  factor  of  the  mechanics  of  walking  has  hitherto  been  neglected 
for  the  most  part  by  writers,  particularly  when  studies  of  the  gaseous 
metabolism  have  been  made,  that  is,  the  height  that  the  body  is  raised 
during  the  process  of  walking.  At  each  step  the  body  is  raised  and 
lowered  a  distance  of  approximately  25  to  50  mm.,  and  even  higher  in 
running.2  In  any  careful  research  on  the  physiology  of  walking  in 
which  the  efficiency  of  the  body  for  moving  a  certain  weight  a  certain 
distance  forward  is  studied,  it  is  necessary  to  note  the  height  of  this 
upward  movement.  For  this  purpose  Dr.  Carl  Tigerstedt  used  a  device 


'See  p.  40. 


2See  table  20,  p.  98. 


40 


ENERGY  TRANSFORMATIONS  DURING  HORIZONTAL  WALKING. 


which,  in  principle,  was  much  like  that  used  by  him  in  studying;  mus- 
cular work  done  with  the  foot.1 

This  apparatus,  shown  in  figure  6,  consists  of  a  small  pointer  A, 
traveling  on  a  brass  block  between  two  upright  guides.  The  cord  G, 
attached  to  the  pointer,  passes  over  a  pulley  to  the  belt  of  the  subject, 
as  shown  in  figure  1.  The  spiral  spring  F,  previously  referred  to 
in  the  description  of  the  step-counter,  keeps  a  tension  upon  the  cord. 
Obviously  as  the  body  is  raised  the  tension  of  the  spiral  spring  draws 
the  pointer  down  and  as  the  body  is  lowered  the  cord  draws  the  pointer 
up.  Each  upward  and  downward  movement  of  the  body  may  be 
recorded  on  a  rotating  kymograph  drum,  thus  giving  a  graphic  record 
of  the  character  of  each  step.  A  typical  record  is  given  in  figure  7. 

It  can  be  seen  that  the  height  to  which  the  body  is  lifted  may  be 
obtained  from  the  kymograph  record  by  measuring  each  downward 
stroke  of  the  pointer  and  adding  the  sum  of  the 
values.  Experimental  conditions  prevented  us 
from  using  a  kymograph  with  a  rapidly  rotating 
drum  or  a  long  paper  kymograph,  and  the  con- 
sequent superimposing  of  the  records  shown  in 
figure  7  obviously  makes  the  counting  of  the 
number  of  steps  somewhat  difficult;  neverthe- 
less it  is  possible  and  has  been  done  in  a  number 
of  instances  (see  table  2).  By  measuring  several 
points  in  the  curve,  an  approximate  average 
height  of  step  may  easily  be  obtained;  these 
averages  may  then  be  multiplied  by  the  total 
number  of  steps  recorded  on  the  step-counter 
and  the  distance  to  which  the  body  is  raised 
computed. 

In  an  attempt  to  sum  up  these  upward  move- 
ments by  means  of  some  automatic  arrangement, 
a  special  form  of  work  adder-wheel  was  devised 
for  the  purpose.  This  work  adder-wheel,  which 
is  shown  as  B  in  figure  6,  relied  upon  the  friction 


FIG.  6. — Apparatus  for  recording  the  height  to  which  the  body  is 
lifted,  and  step-counter  with  connections. 

The  cord  G,  connected  with  the  body  of  the  subject,  passes  over  a 
grooved  wheel  B  attached  to  the  shaft  of  a  revolution-counter 
C,  a  pawl  p,  preventing  backward  motion.  It  then  passes 
to  a  pointer  A  (the  marker  of  Dr.  Carl  Tigerstedt),  tension 
being  supplied  by  the  light  spring  F.  An  upright  cord 
travels  over  a  grooved  pulley  on  the  step-counter  D,  with  the 
tension  produced  by  the  small  weight  traveling  in  a  tube  E. 
The  height  to  which  the  body  is  raised  at  each  step  is  thus 
recorded  in  a  dual  manner,  first,  by  the  excursions  of  the 
pointer  A  over  a  kymograph  drum  and  second  by  the  accumu- 
lated movement  of  the  wheel  B. 


'C.  Tigerstedt,  Skand.  Archiv  f.  Physiol.,  1913,  30,  p.  299. 


FIG.  7. — Typical  kymograph  record  showing  character  of  step. 

The  upper  line  shows  the  admission  of  oxygen  to  the  apparatus,  each  section  representing  1  liter; 
the  second  line  the  steps  taken  by  the  subject;  the  third  line  the  respiration;  and  the  lowest  line  the 
time  in  minutes. 


DESCRIPTION   OF   APPARATUS.  41 

of  a  cord  passing  over  a  groove  in  the  wheel  to  rotate  it  in  one  direction 
as  the  body  was  lifted,  a  pawl  p  preventing  any  backward  motion. 
When  the  body  returned  to  the  normal  position,  the  cord  slipped  over 
the  pulley  without  producing  any  movement  of  the  wheel.  Each 
upward  movement  of  the  body  accordingly  resulted  in  a  forward 
motion  of  the  wheel.  The  work  adder-wheel  was  directly  connected 
to  the  shaft  of  a  revolution-counter,  and  a  record  of  the  total  move- 
ment of  the  wheel  was  thus  obtained.  (See  C,  fig.  6.)  The  total  dis- 
tance the  body  was  raised  would  theoretically  be  that  found  by  multi- 
plying the  number  of  revolutions  of  the  wheel  by  its  circumference. 

At  the  very  rapid  rate  of  walking  used  in  some  of  these  experiments, 
great  difficulty  was  experienced  in  the  earlier  development  of  the  appa- 
ratus in  securing  an  accurate  record.  The  cord  would  frequently 
slip  and  there  was  considerable  reverse  movement,  for  it  was  not  easy 
to  find  a  pawl  arrangement  which  would  work  perfectly.  This  reverse 
movement  or  "back-lash"  was  not  overcome  until  practically  the  end  of 
the  series  of  observations;  recently,  however,  a  very  thin  laminated 
spring  has  been  used  as  a  pawl,  which  has  practically  eliminated  this  lost 
motion.  The  apparatus  as  described  represents  the  completed  form. 
As  a  matter  of  fact,  in  many  of  our  experiments  we  were  unable  to  use 
the  records  obtained  from  this  wheel.  The  height  to  which  the  body 
was  raised  was  therefore  determined  by  the  method  previously  referred 
to,  i.  e.,  measuring  on  the  kymograph  curve  the  general  average  dis- 
tance to  which  the  body  was  raised  and  multiplying  this  by  the  record 
of  the  number  of  steps  on  the  step-counter. 

In  order  to  have  these  measurements  of  absolute  value,  the  distance 
traveled  by  the  pointer  on  the  kymograph  or  that  traveled  by  the  cord 
passing  over  the  work  adder-wheel  must  represent  exactly  the  distance 
over  which  the  body  is  elevated  or  lowered.  This  assumes  that  there 
is  no  disturbance  in  the  attachment  of  the  cord  to  the  body  and  that 
the  tension  of  the  spring  is  such  as  to  prevent  any  diag  or  inequality 
in  the  movement  of  the  pointer  over  the  drum.  As  may  be  seen  from 
the  kymograph  curve  reproduced  in  figure  7,  the  constancy  in  the 
movement  of  the  pointer  was  very  satisfactory.  On  the  other  hand, 
the  method  of  attaching  the  cord  to  the  subject  was  certainly  open  to 
serious  criticism.  Wire  was  used  for  the  most  part,  violin  string  being 
substituted  for  such  portions  as  passed  over  the  flexible  parts,  thus 
minimizing  the  tension  and  the  danger  of  alterations  in  the  length. 
There  was,  however,  opportunity  for  considerable  flexibility  in  the  play 
of  this  cord  at  the  point  where  it  was  attached  to  the  belt  holding  up  the 
trousers  of  the  subject;  accordingly,  the  records  obtained  with  the  kymo- 
graph and  with  the  work  adder- wheel  are  without  doubt  invariably  some- 
what too  small  and  the  body  was  in  all  instances  raised  to  a  higher  point 
than  that  indicated  in  table  2.  The  expediency  of  attaching  a  wire 
direct  to  the  body  by  means  of  surgeon's  plaster  was  not  resorted  to, 
although  the  omission  was  undoubtedly  an  error  in  our  observations. 


42  ENERGY  TRANSFORMATIONS  DURING  HORIZONTAL  WALKING. 

PLAN  OF  RESEARCH. 

While  this  investigation  was  undertaken  primarily  with  the  object  of 
studying  the  metabolism  of  walking  on  a  level,  certain  preliminary 
observations  were  necessary,  particularly  for  the  purpose  of  establishing 
a  base-line  for  comparison  with  the  metabolism  during  walking.  As 
has  previously  been  stated,  certain  investigators,  in  studying  the 
metabolism  during  walking,  have  been  inclined  to  employ  as  a  basis 
of  comparison  the  metabolism  determined  with  the  subject  in  the  lying 
position  and  without  food  in  the  stomach,  i.  e.,  maintenance  metabo- 
lism. Many  attempts  have  also  been  made  to  study  the  metabolism 
with  the  subject  in  the  standing  or  the  sitting  position,  these  values 
being  deducted  from  the  total  metabolism  obtained  with  the  subject 
walking,  the  increment  being  considered  as  due  to  the  work  of  forward 
progression.  It  was  therefore  necessary  in  our  research  to  study  the 
metabolism  not  only  during  walking  but  also  under  other  conditions, 
thus  increasing  the  number  of  problems  to  be  studied. 

A  considerable  number  of  experiments  were  carried  out  with  the 
subject  standing  in  different  positions,  those  used  being  (1)  with  the 
subject  standing  with  the  body  relaxed,  as  one  would  stand  quietly 
without  external  support;  (2)  leaning  against  a  support  at  the  back; 
(3)  leaning  upon  a  staff;  and  (4)  standing  with  muscles  tense  in  the 
position  of  "attention."  By  determining  the  metabolism  in  these 
various  resting  or  standing  attitudes,  all  conceivable  base-lines  could 
be  obtained.  Furthermore,  it  was  found  that  during  experiments  with 
rapid  walking  there  was  considerable  lateral  motion  of  the  arms,  as  is 
the  habit  with  many  walkers,  particularly  professional  pedestrians. 
Consequently  certain  experiments  were  made  with  the  subject  standing 
and  swinging  the  arms  from  side  to  side  as  in  a  fast  walk,  but  without 
moving  the  feet.  A  number  of  observations  were  also  made  of  the 
metabolism  with  the  subject  sitting,  with  the  idea  that  the  values  thus 
obtained  might  be  used  for  the  basal  metabolism.  As  a  matter  of 
fact,  only  a  few  of  the  sitting  experiments  were  made  with  the  subject 
in  the  post-absorptive  condition  and  the  values  secured  have  not  been 
used  for  actual  comparison  purposes. 

The  main  object  of  the  research  was,  of  course,  the  study  of  the 
metabolism  during  walking  and  specifically  the  study  of  the  increase 
in  the  metabolism  due  to  walking  at  increasing  speeds.  In  the  series 
of  walking  experiments,  therefore,  the  subject  was  required  to  walk  at 
a  very  slow  speed,  then  at  a  medium  speed,  and  finally  at  a  very  fast 
speed.  In  a  few  experiments  the  subject  actually  ran,  thus  giving  data 
for  comparing  the  work  of  forward  progression  while  the  subject  was 
walking  with  that  while  he  was  running,  two  entirely  distinct  methods 
of  forward  progression.  Certain  observations  were  also  made  regard- 
ing the  effect  upon  the  metabolism  of  fatigue  due  to  long-continued 


PLAN    OF    KESEAKCH.  43 

walking,  the  subject  being  required  on  several  days  to  walk  for  a  con- 
siderable length  of  time. 

While,  in  common  with  several  other  investigators,  we  have  believed 
that  the  most  sharply  defined  results  can  be  obtained  in  experiments 
without  food,  nevertheless  the  experimental  conditions  were  such  as  to 
make  it  relatively  simple  for  us  to  obtain  values  after  the  ingestion  of 
food.  With  this  end  in  view,  we  made  specific  studies  of  the  metabo- 
lism under  the  various  conditions  of  standing,  walking  at  various 
speeds,  running,  and  after  fatigue,  not  only  when  the  subject  was  with- 
out food  in  the  stomach  but  also  after  food  had  been  taken.  The 
experiments  carried  out  after  food  duplicated  the  experiments  with  the 
subject  in  the  post-absorptive  condition;  it  was  therefore  possible  to 
note  whether  or  not  there  was  a  summation  effect  on  the  metabolism 
due  to  the  ingestion  of  food  and  to  the  work. 

While  in  some  of  the  experiments  the  diet  was  uncontrolled,  in  a 
number  of  them  it  was  prescribed.  The  constituents  of  the  meal 
varied  widely  in  these  latter  experiments,  a  special  protein  diet  being 
supplied  on  some  days,  on  others  a  diet  containing  an  excess  of  fat,  and 
again  a  diet  with  a  large  proportion  of  carbohydrate.  The  results 
of  these  experiments  accordingly  gave  data  as  to  the  effect  of  a  special 
diet  upon  the  metabolism  during  walking. 

This,  in  brief,  was  our  plan  of  research  at  the  beginning  of  the  series 
of  observations.  Incidentally  a  number  of  other  important  physio- 
logical details  were  developed  as  the  research  progressed.  These  will 
be  taken  up  specifically  in  the  discussion  of  the  results  of  the  experi- 
ments. 


44  ENERGY  TRANSFORMATIONS  DURING  HORIZONTAL  WALKING. 

GENERAL  ROUTINE  OF  THE  EXPERIMENTS. 

It  will  be  seen  from  the  foregoing  that  the  experiments  irithis  research 
fall  naturally  into  four  classes:  standing  experiments,  sitting  experi- 
ments, walking  and  running  experiments,  and  experiments  with  food. 
From  the  earlier  experience  of  Cathcart  with  a  subject  riding  a  bicycle, 
it  seemed  inadvisable  to  attempt  the  establishment  of  a  standard  lest- 
ing  base-line  to  be  deducted  from  the  total  metabolism  of  the  subject 
while  walking.  It  was  therefore  decided  that  each  morning,  prior  to 
the  walking  experiment,  measurements  should  be  made  of  the  standing 
resting  metabolism;  consequently  the  research  included  a  large  number 
of  standing  experiments. 

STANDING  EXPERIMENTS. 

The  respiration  apparatus  used  for  this  research  and  previously 
described  was  designed  more  especially  for  measuring  the  large  amounts 
of  carbon  dioxide  exhaled  during  severe  muscular  exercise,  and  was,  in 
consequence,  fitted  with  two  soda-lime  bottles,  each  of  which  must  be 
weighed.  If  only  the  resting  metabolism  had  been  determined,  a 
slightly  different  arrangement  would  have  been  preferred,  with  the  use 
of  but  one  soda-lime  bottle,  a  spirometer  form  of  apparatus  being 
substituted  for  the  rubber  bathing-cap  and  tension-equalizer.  Never- 
theless, since  the  resting  metabolism  with  the  subject  standing  was  to  be 
used  primarily  as  a  base-line  to  be  deducted  from  the  greatly  increased 
metabolism  during  walking,  it  was  considered  that  this  method  of 
measuring  the  metabolism  during  standing  would  be  sufficiently 
satisfactory  for  the  purpose,  and  hence  the  standing  metabolism  was 
determined  on  exactly  the  same  apparatus  as  that  used  in  the  walking 
experiments.  As  a  matter  of  fact,  the  experiments  made  by  Cathcart, 
and  more  especially  those  of  Carpenter,1  have  shown  that  the  tension- 
equalizer  form  of  the  unit  apparatus  gives  as  accurate  measurements  of 
the  metabolism  during  rest  as  does  the  spirometer  type.  In  this  par- 
ticular apparatus,  however,  we  could  readily  have  dispensed  with  the 
second  soda-lime  bottle. 

After  arriving  at  the  Laboratory,  the  subject  arranged  his  clothing 
for  an  ordinary  walking  experiment  and  assumed  the  standing  position 
on  the  treadmill,  this  position  being  maintained  for  some  time  prior  to 
the  actual  experimentation.  After  the  effect  of  the  slight  exertion  of 
coming  to  the  Laboratory  and  of  ascending  the  stairs  had  passed  away, 
the  mouthpiece  was  inserted,  the  noseclip  attached,  and  at  the  proper 
time,  i.  e.,  at  the  end  of  a  normal  expiration,  the  3-way  valve  connecting 
the  subject  with  the  ventilating  system  of  the  respiration  apparatus 
was  turned.  The  experiment  was  then  continued  in  the  usual  manner 

Carpenter,  Carnegie  Inst.  Wash.  Pub.  216,  1915,  pp.  Ill  to  118. 


GENERAL   ROUTINE    OF   THE    EXPERIMENTS.  45 

for  approximately  15  minutes.  At  the  end  of  a  normal  expiration  the 
valve  was  again  turned  and  the  experiment  was  completed.  During 
the  entire  experiment  oxygen  was  admitted  regularly  from  a  cylinder, 
the  gas  being  passed  through  a  carefully  calibrated  Bohr  gas-meter 
immersed  in  water.  At  the  conclusion  of  the  experiment  the  ventila- 
tion was  continued  for  a  few  minutes  to  insure  the  thorough  sweeping 
out  of  all  the  carbon  dioxide;  finally  the  tension-equalizer  was  filled 
with  oxygen  to  the  same  tension  that  existed  at  the  beginning  of  the 
experiment. 

Owing  to  the  greatly  increased  carbon-dioxide  production  during 
severe  muscular  work,  the  ventilating  current  was  so  adjusted  that 
the  ventilating  pump  would  cause  80  to  90  liters  of  air  to  pass  by  the 
mouth  of  the  subject  per  minute,  thus  minimizing  the  danger  of  the 
rebreathing  of  the  air.  Furthermore,  by  means  of  the  supplementary 
valve  M  (see  fig.  2,  page  34),  the  dead  space  in  the  rubber  tube  leading 
from  the  mouthpiece  to  the  main  air-pipe  was  wholly  eliminated,  for 
when  the  valve  N  had  been  turned  after  the  beginning  of  the  experi- 
ment, all  of  the  air  passed  immediately  by  the  mouthpiece.  While 
this  deflection  of  the  air-current  was  unnecessary  in  the  experiments 
with  the  subject  standing,  nevertheless  it  was  also  used  in  these  experi- 
ments in  order  that  the  procedure  might  be  the  same  in  both  series. 

Since  it  is  important  to  note  whether  or  not  the  subject  remained  in 
essentially  the  same  degree  of  muscular  repose  throughout  the  standing 
experiments,  a  graphic  record  was  obtained  of  the  degree  of  movement 
by  connecting  the  subject  with  a  cord  attached  to  a  movable  pointer 
traveling  over  a  smoked-paper  kymograph.  In  an  ideal  experiment 
the  course  of  the  pointer  would  be  a  straight  line.  While  it  was  impos- 
sible for  the  subject  to  remain  as  perfectly  quiet  as  he  would  when  lying 
upon  a  comfortable  couch,  nevertheless  the  regularity  and  constancy 
of  the  muscular  repose  of  the  subject  from  experiment  to  experiment 
was,  to  say  the  least,  very  striking.  We  are  therefore  safe  in  assuming 
that  in  practically  no  experiment  were  the  irregularities  in  the  metabo- 
lism for  the  standing  position  attributable  to  changes  in  the  degree 
of  muscular  repose  of  the  individual,  except  in  those  tests  in  which 
special  positions  while  standing  were  assumed,  such  as  the  position  of 
"attention." 

SITTING  EXPERIMENTS. 

A  few  sitting  experiments  were  also  made  with  one  of  the  subjects. 
These  were  not  used  as  a  base-line,  but  are  recorded  simply  to  show  that 
an  endeavor  was  made  to  secure  the  best  possible  base-line  for  deduc- 
tion from  the  total  metabolism  obtained  during  walking.  The  incre- 
ment in  the  metabolism  for  the  sitting  position  was  unfortunately  not 
studied  with  sufficient  sharpness  to  make  a  definite  conclusion  possible. 


46  ENERGY  TRANSFORMATIONS   DURING  HORIZONTAL  WALKING. 

WALKING  AND  RUNNING  EXPERIMENTS. 

In  the  walking  and  running  experiments  the  routine  was  essentially 
that  previously  outlined  for  the  standing  experiments,  save  that  during 
the  entire  period  and  for  several  minutes  before  the  experiment  began 
the  subject  was  walking  upon  an  electrically  driven  treadmill  which 
was  kept  in  motion  at  a  definite  rate  of  speed.  These  rates  of  speed 
varied  from  53  meters  per  minute  to  149  meters  per  minute.  The 
flexibility  of  the  mouthpiece  and  its  attendant  by-pass  made  it  possible 
for  the  subject  to  walk  with  perfect  comfort  at  these  varying  speeds  and 
the  vertical  movement  of  the  body  with  each  step  did  not  interfere  in 
the  slightest  with  the  correct  measurement  of  the  gaseous  exchange. 
With  a  slow  speed,  there  was  no  noticeable  extraneous  muscular  effort 
other  than  that  of  walking;  with  a  high  speed  the  subject  made  vig- 
orous lateral  motions  of  the  arms,  as  is  quite  common  with  profes- 
sional pedestrians  when  walking  at  high  speed.  As  previously  noted, 
an  attempt  was  made  to  measure  the  influence  of  this  lateral  motion  by 
studying  the  metabolism  with  the  subject  standing  and  swinging  the 
arms.  In  a  number  of  the  experiments  the  subject  ran,  although  the 
rate  of  progression  was  but  little  higher  than  in  the  experiments  with 
fast  walking. 

EXPERIMENTS  WITH  FOOD. 

A  considerable  number  of  experiments  were  made  after  a  breakfast 
selected  by  the  subject;  a  few  were  also  made  after  dinner,  the  diet  being 
uncontrolled.  In  the  experiments  in  which  a  study  was  made  of  the 
possible  influence  of  diets  containing  a  preponderance  of  protein,  fat,  or 
carbohydrate,  the  first  meal  of  the  day  was  given  to  the  subject  at  the 
Laboratory  after  a  walking  experiment  in  the  forenoon  in  which  he 
was  in  the  post-absorptive  state.  This  meal  consisted  of  steak,  rice, 
potatoes,  or  various  fats.  A  second  walking  experiment  was  then  made 
under  otherwise  identical  conditions.  The  exact  weight  of  food  was 
not  recorded,  since  our  only  aim  was  to  make  sure  that  the  body  was 
plentifully  supplied  with  the  special  food  constituent  being  studied. 
In  general,  the  subject  ate  all  that  he  possibly  could  and  as  a  con- 
sequence was  frequently  disinclined  to  walk  in  the  afternoon. 

A  careful  study  of  the  effect  of  muscular  work  upon  the  urine  was 
impracticable,  hence  no  analyses  of  the  urine  accompany  these  observa- 
tions. Previous  tests  with  one  of  the  subjects  have  shown,  however, 
that  the  accomplishment  of  a  large  amount  of  severe  muscular  work  was 
not  accompanied  by  an  excessive  excretion  of  nitrogenous  products  in 
the  urine.1 

'Benedict  and  Cathcart,  Carnegie  Inst.  Wash.  Pub.  187,  1913,  p.  98. 


SUBJECTS.  47 

SUBJECTS. 

In  this  series  of  observations  two  subjects  were  used,  both  of  whom 
were  more  or  less  trained  to  severe  muscular  activity,  as  one  (A.  J.  O.) 
was  a  semi-professional  baseball  player  and  the  other  (M.  A.  M.)  a 
professional  bicyclist.  The  preliminary  observations  in  this  research 
were  carried  out  by  Dr.  Carl  Tigerstedt  with  the  subject  A.  J.  O.  (sub- 
ject I),  a  man  of  athletic  build,  who  readily  adapted  himself  to  the 
observations  on  the  treadmill  and  with  the  respiration  apparatus.  He 
was  29  years  of  age,  180  cm.  in  height,  and  had  a  body-weight  with 
clothing  varying  from  72.1  kilograms  to  74.8  kilograms  and  without 
clothing  of  69.7  kilograms.  Since  in  this  study  one  of  the  prime  objects 
was  to  note  the  energy  required  to  move  1  kilogram  of  material  in  the 
forward  direction  1  meter,  i.  e.,  1  horizontal  kilogrammeter,  the  body- 
weight  with  clothing  is  of  importance  in  each  experiment.  These 
weights  are  given  in  detail  in  table  13  (page  78). 

The  major  portion  of  the  research  was  devoted  to  a  study  of  forward 
progression  at  varying  speeds  with  the  subject  M.  A.  M.,  who  had 
previously  served  as  the  subject  of  Cathcart  in  the  study  of  the  mus- 
cular work  of  bicycle-riding.  This  subject,  who  in  this  publication  is 
designated  as  subject  II,1  was  31  years  of  age,  177  cm.  in  height,  and 
had  a  body-weight  with  clothing  varying  from  69.9  to  72.4  kilograms. 
The  average  body-weight  without  clothing  during  this  series  of  experi- 
ments was  68.3  kilograms.  The  body-weight  with  clothing  is  given  for 
each  experiment  in  tables  14  and  16  (pages  83  and  88). 

'Further  data  regarding  the  body  measurements,  etc.,  of  this  subject  may  be  found  in  the  report 
of  the  previous  study  on  muscular  work.  See  Benedict  and  Cathcart,  Carnegie  Inst.  Wash.  Pub. 
187,  1913,  p.  35. 


48 


ENERGY  TRANSFORMATIONS  DURING  HORIZONTAL  WALKING. 


STATISTICS  OF  EXPERIMENTS. 

The  data  regarding  the  experimental  conditions,  the  respiratory 
exchange,  and  the  mechanics  of  walking  for  the  experiments  with  sub- 
ject I  (A.  J.  O.)  are  given  in  table  3;  the  data  for  subject  II  (M.  A.  M.) 
appear  in  table  4. 

TABLE  3. — Summary  of  results  obtained  with  subject  I  in  experiments  without  food,  during  the 

period  from  Nov.  26,  1913,  to  Dec.  27,  1913. 
[Observations  made  by  Dr.  Carl  Tigerstedt.     Values  per  minute.] 


Date  and  condition. 

Dura- 
tion. 

Car- 
bon 
diox- 
ide. 

Oxy- 
gen. 

Respi- 
ratory 
quo- 
tient. 

Aver- 
age 
pulse- 
rate. 

Average 
respi- 
ration- 
rate. 

Dis- 
tance. 

Rais- 
ing of 
body. 

Nov.  26.1 
Standing,2  10h  10m  a.  m.  .  . 

min.  sec. 
15     17 

c.c. 

283 

c.c. 
343 

0.82 

meters. 

meters. 

Standing,2  10h  45m  a.  m.  .  . 

15     45 

278 

321 

.86 

18.3 

Food  about  1  p.  m. 
Standing,  2h  25m  p.m.... 

15     04 

277 

341 

.81 

80 

18.0 

Standing,  2h  45m  p.  m  .... 

15     35 

268 

328 

.82 

87 

18.4 

Walking,3  3h  24m  p.  m  
Nov.  28. 
Standing,  10h  29m  a.  m  .  .  . 

15     15 

15     07 

943 
226 

1015 
284 

.93 

.80 

85 

27.9 
16.3 

75.3 

3.57 

Standing,  llh  03m  a.  m  .  .  . 

15     06 

222 

291 

.76 

96 

17.2 

Standing,  llh  30m  a.  m  .  .  . 

15     48 

218 

279 

.78 

95 

17.7 

Nov.  29. 
Standing,  9h  16m  a.  m  .  .  .  . 

15     18 

228 

282 

.81 

91 

18.6 

Standing,  9h  50m  a.  m  .... 

15     19 

219 

282 

.78 

94 

18.3 

Walking,3  10h  22m  a.  m  .  .  . 
Dec  1. 
Standing,  9h  30m  a.  m  .... 

15     02 
15     11 

886 
222 

873 
276 

1.02 
.81 

90 

25.7 
19.0 

75.1 

3.15 

Standing,  9h  57m  a.  m  .... 

15     12 

217 

282 

.77 

94 

19.5 

Walking,3  10h  51m  a.  m.  .  . 
Walking,3  Ilh34ma.  m.  .  . 

Dec.  2. 
Standing,  8h  54m  a.  m  .... 

9     59 
9     57 

15     28 

692 
731 

234 

852 
904 

290 

.81 

.81 

.81 

88 

25.4 
24.5 

19.4 

76.0 
76.6 

3.26 
3.36 

Standing,  9h  17m  a.  m  .... 

15     22 

223 

289 

.77 

90 

21.1 

.... 

Standing,  10h  15m  a.  m.  .  . 

15     25 

214 

280 

.77 

88 

21.5 

Walking,3  10h  30m  a.  m.  .  . 
Walking,3  llh  18m  a.  m.  .  . 

Dec.  8. 

Standing,  9h  10m  a.  m  .... 

4     44 
10     16 

15     07 

630 
695 

226 

853 
849 

286 

.74 
.82 

.79 

90 

26.8 
25.3 

19.5 

76.2 
76.8 

3.20 
4.62 

Standing,  9h  38m  a.  m  

15     07 

214 

269 

.80 

99 

21.8 

Standing,  10h  06m  a.  m  .  .  . 

15     05 

209 

270 

.78 

97 

21.9 

Walking,3  10h  45m  a.  m  .  .  . 
Walking,3  Ilh05ma.  m.  .  . 
Walking,3  llh  35m  a.  m.  .  . 
Standing,  llh  56m  a.  m  .  .  . 

10     47 
10     17 
10     17 
13     55 

685 
701 
697 
215 

845 
842 
872 
270 

.81 
.83 
.80 
.80 

85 

27.3 
26.7 
25.5 
23  0 

76.5 

77.2 
77.5 

3.57 
3.62 
3.68 

Standing,  12h  20mp.  m.  .  . 

15     09 

206 

267 

.77 

89 

23  0 

'The  subject  had  breakfast  at  about  7  a.  m. 

throughout  this  summary  of  results,  the  designation  "standing"  signifies  standing  in  a 
relaxed  position  unless  otherwise  specified. 

3Subject  I  walked  at  a  rate  of  not  far  from  105  steps  per  minute  throughout  the  walking  series, 
except  on  December  22,  23,  and  27.  The  total  distance  during  the  period  on  Nov.  26  was  1,148 
meters;  on  Nov.  29,  1,129  meters;  during  the  periods  on  Dec.  1,  1,520  meters;  Dec.  2,  1,149 
meters;  Dec.  3,  2,415  meters.  The  subject  did  not  walk  between  periods. 


STATISTICS    OF    EXPERIMENTS. 


49 


TABLE  3. — Summary  of  results  obtained  with  subject  I  in  experiments  without  food,  during  the 
period  from  Nov.  26,  1913,  to  Dec.  27,  1913 — Continued. 

[Observations  made  by  Dr.  Carl  Tigerstedt.    Values  per  minute.] 


Date  and  condition. 

Dura- 
tion. 

Car- 
bon 
diox- 
ide. 

Oxy- 
gen. 

Respi- 
ratory 
quo- 
tient. 

Aver- 
age 
pulse- 
rate. 

Average 
respi- 
ration- 
rate. 

Dis- 
tance. 

Rais- 
ing of 
body. 

Dec.  4. 
Standing,  9h  12m  a.  m  .  .  .  . 

win.   sec 
15     02 

c.c. 
220 

c.c. 

267 

0.82 

86 

22.5 

meters 

meters. 

Standing,  9h  21m  a.  m  .  .  .  . 

15     10 

208 

269 

.77 

97 

22.8 

Standing,  10h  04m  a.  m  .  .  . 

15     10 

213 

265 

.80 

88 

22.4 

Walking,1  10h  35m  a.  m.  .  . 
Walking,1  Ilh30ma.  m.  .  . 
Walking,1  12h  03m  p.  m  .  .  . 

Dec.  5. 
Standing,  9h  18m  a.  m  .  .  . 

10     19 

10     04 
10     06 

16     03 

690 
695 
703 

239 

874 
882 
857 

335 

.79 
.79 

.82 

71 

100 

24.9 
26.4 
25.2 

21.8 

77.7 
77.7 
78.2 

3.41 
3.68 
3.57 

Standing,  9h  48m  a.  m  .... 

15     08 

240 

340 

.71 

110 

23.6 

Standing,  10h  18m  a.  m  .  .  . 

15     07 

230 

328 

.70 

105 

24.3 

Walking,1  10h  52m  a.  m  .  .  . 
Walking,1  llh  12m  a.  m  .  .  . 
Walking,1  Ilh37ma.  m.  .  . 

Dec.  8. 
Standing,  9h  17m  a.m.... 

10     03 
10     06 
10     05 

15     01 

720 
790 
761 

205 

928 
925 
983 

272 

.78 
.85 
.77 

.75 

89 

26.9 
27.5 
29.9 

20.3 

75.7 
78.2 
79.0 

3.57 
4.10 
4.10 

Standing,  9h  42m  a.  m  .... 

15     06 

209 

270 

.77 

91 

20.9 

Standing,  10h  llm  a.  m.  . 

15     09 

205 

271 

.76 

93 

22  4 

Walking,2  10h  46m  a.  m  .  .  . 
Walking,2  llh  15m  a.  m.  .  . 
Walking,2  Ilh41ma.  m.  .  . 
Walking,2  12h  07m  p.  m.  .  . 

Dec.  9? 
Standing,  9  a.  m  

11     57 
11     59 
12     04 
11     54 

15     06 

692 
729 
721 
722 

255 

829 
889 
887 
920 

357 

.84 
.82 
.81 

.78 

.71 

120 

24.7 
24.8 
23.9 
27.2 

22.6 

76.5 

78.6 
79.3 
79.7 

3.52 
3.78 
4.04 
4.15 

Standing,  9h  39m  a.  m  .... 

15     10 

248 

345 

.72 

110 

22.8 

Standing,  10h  25m  a.  m  .  .  . 

15     35 

242 

320 

.76 

105 

23.2 

Walking,2  Ilh07ma.  m.  .  . 
Walking,2  Ilh33ma.  m.  .  . 
Walking,2  12h  llmp.  m.  .  . 

Dec.  15. 
Standing,  9h  06m  a.  m  .... 

13     54 
14     00 
14     03 

15     OS 

792 
782 
753 

233 

952 
899 

891 

279 

.83 

.87 

.85 

.83 

89 

23.6 
26.9 
27.0 

21.6 

76.0 
78.3 
79.1 

3.68 
3.89 
4.04 

Standing,  9h  37m  a.  m  .... 

15     17 

212 

268 

.79 

91 

22.3 

Standing,  10h  04™  a.  m  . 

15     12 

220 

278 

.79 

88 

22  8 

Walking,2  10h  32m  a.  m  .  .  . 
Walking,2  10h  58m  a.  m  .  .  . 
Walking,2  Ilh25ma.  m.  .  . 
Walking,2  llh  50m  a.  m 

15     02 
15     05 
15     02 
17     18 

808 
757 
734 
727 

980 
891 
875 

.82 
.85 
.84 

23.0 
26.4 
26.2 
28  3 

74.2 
75.6 
76.3 
76  3 

3.68 
3.83 
3.94 
3  99 

Dec.  16. 
Standing,  9h  17m  a.  m  .... 

20     07 

220 

290 

.76 

103 

21.8 

Standing,  9h  48m  a.  m  .... 

20     12 

221 

284 

.78 

100 

22.3 

Standing,  10h  17m  a.  m  .  .  . 

20     10 

229 

283 

.81 

99 

22.4 

Walking,2  llh  05m  a.  m  .  .  . 
Walking,2  Ilh37ma.  m.  .  . 
Walking,2  12h  19m  p.  m  .  .  . 

20     06 
20     00 

20     08 

758 
754 
721 

882 
853 
793 

.86 
.88 
.91 

23.5 
26.2 
28.1 

75.1 
76.7 
77.6 

3.89 
3.99 
4.20 

Subject  I  walked  at  a  rate  of  not  far  from  105  steps  per  minute  throughout  the  walking  series, 
except  on  December  22,  23,  and  27.  The  total  distance  walked  during  the  periods  on  Dec.  4 
was  2,374  meters;  Dec.  5,  4,303  meters.  The  subject  did  not  walk  between  periods. 

2The  total  distance  walked  on  Dec.  8  was  7,363  meters;  on  Dec.  9,  6,114  meters;  Dec.  15,  7,219 
meters;  Dec.  16,  7,247  meters.  The  subject  walked  between  periods. 

3Previous  to  the  experiment  of  Dec.  9  the  subject  took  an  egg-phosphate. 


50 


ENERGY  TRANSFORMATIONS  DURING  HORIZONTAL  WALKING. 


TABLES. — Summary  of  results  obtained  with  subject  I  in  experiments  without  food,  during  the 
period  from  Nov.  26,  1913,  to  Dec.  27,  1913— Concluded. 

[Observations  made  by  Dr.  Carl  Tigerstedt.     Values  per  minute.] 


Date  and  condition. 

Dura- 
tion. 

Car- 
bon 
diox- 
ide. 

Oxy- 
gen. 

Respi- 
ratory 
quo- 
tient. 

Aver- 
age 
pulse- 
rate. 

Average 
respi- 
ration- 
rate. 

Dis- 
tance. 

Rais- 
ing of 
body. 

Dec.  17. 

min.   sec. 

c.c. 

c.c. 

meters. 

meters. 

Standing,  8h  57m  a.  m  .... 

25     00 

230 

277 

0.83 

89 

20.5 

Standing,  9h  32m  a.  m  .... 

25     07 

221 

270 

.82 

92 

21  A 

Standing,  10h  07m  a.  m  .  .  . 

25     07 

217 

266 

.82 

93 

22.1 

Walking,1  10h  44m  a.  m.  .  . 

20     09 

695 

823 

.84 

25.3 

75.0 

3.73 

Walking,1  llh  14m  a.  m.  .  . 

20     07 

708 

851 

.83 

.    . 

24.9 

76.4 

3.89 

Walking,1  Ilh45ma.  m.  .  . 

20     16 

706 

872 

.81 

26.5 

78.1 

4.15 

Walking,1  12h  18m  p.  m  .  .  . 

20     08 

719 

905 

.79 

26.5 

78.6 

4.15 

Dec.  18. 

Standing,  9h  03m  a.  m  .... 

25     05 

238 

272 

.88 

88 

21.1 

Standing,  9h  54m  a.  m  .... 

25     33 

230 

263 

.87 

88 

21.3 

Standing,  10h  34m  a.  m  .  .  . 

• 

25     13 

220 

255 

.86 

83 

21.6 

Walking,1  Ilh08ma.  m.  .  . 

20     04 

726 

811 

.89 

23.9 

75.3 

3.52 

Walking,1  Ilh40ma.  m.  .  . 

20     28 

740 

833 

.89 

25.2 

76.4 

3.68 

Walking,1  12h  10m  p.  m  .  .  . 

20     04 

730 

864 

.84 

27.7 

76.7 

3.68 

Walking,1  12h  39m  p.  m  .  .  . 

20     12 

734 

867 

.85 

27.3 

76.9 

3.73 

Dec.  19. 

Standing,  9h  43m  a.  m  .... 

25     03 

238 

279 

.85 

96 

22.5 

Standing,  10h  16m  a.  m  .  .  . 

25     06 

239 

282 

.85 

97 

23.3 

Standing,  10h  49m  a.  m  .  .  . 

25     06 

241 

275 

.88 

100 

23.1 

Walking,1  llh  25m  a.  m.  .  . 

20     06 

789 

869 

.91 

23.9 

76.1 

3.83 

Walking,1  llh  54m  a.  m.  .  . 

20     06 

772 

860 

.90 

28.1 

77.9 

3.99 

Walking,1  12h  21m  p.  m.  .  . 

20     10 

755 

871 

.87 

29.0 

78.3 

4.10 

Walking,1  12h  52m  p.  m.  .. 

10     40 

759 

872 

.87 

29.8 

78.7 

4.20 

Dec.  20. 

Standing,  8h  55m  a.  m  .... 

25     06 

237 

272 

.87 

99 

23.3 

Standing,  9h  29m  a.  m  .... 

25     17 

271 

106 

22.5 

Standing,  10h  06m  a.  m  .  .  . 

25     10 

224 

273 

.82 

106 

23.2 

Standing,  llh  10m  a.  m  .  .  . 

24     56 

216 

263 

.82 

100 

22.5 

Walking,1  Ilh44ma.  m.  .  . 

20     04 

690 

825 

.84 

26.1 

76.2 

3.68 

Walking,1  12hllmp.  m.  .  . 

20     07 

735 

884 

.83 

28.5 

77.7 

4.04 

Walking,1  12h  40m  p.  m.  .  . 

20     02 

731 

924 

.79 

30.1 

78.6 

4.20 

Walking,1  lh  02m  p.  m  

19     59 

747 

934 

.80 

31.3 

78.9 

4.25 

Dec.  22. 

Walking,1  10h  17m  a.  m.  .  . 

20     15 

718 

873 

.82 

27.4 

76.3 

4.07 

Walking,1  10h  47m  a.  m.  .  . 

20     06 

610 

790 

.77 

28.6 

65.9 

3.17 

Walking,1  llh  20m  a.  m.  .  . 

20     07 

641 

901 

.71 

30.2 

77.4 

4.28 

Walking,1  Ilh48ma.  m.  .  . 

20     06 

600 

788 

.76 

29.7 

67.5 

3.41 

Dec.  23. 

Walking,1  9h  25m  a.  m  .... 

20     29 

695 

833 

.83 

.    . 

25.7 

75.9 

3.97 

Walking,1  9h  59m  a.  m  .... 

20     47 

589 

740 

.80 

.    . 

24.2 

66.4 

3.07 

Walking,1  10h  38m  a.  m.  .  . 

20     18 

694 

863 

.80 

.    . 

27.2 

76.9 

4.08 

Walking,1  Ilh12ma.  m.  .  . 

20     06 

602 

764 

.79 

26.0 

66.4 

3.30 

Dec.  27. 

Walking,1  9h  56m  a.  m  

21     53 

685 

846 

.81 

27.0 

78.4 

4.06 

Walking,1  10h  41m  a.  m.  .  . 

20     43 

563 

725 

.78 

26.9 

65.2 

3.02 

Walking,1  llh  15m  a.  m.  .  . 

20     52 

664 

852 

.78 

28.6 

78.6 

4.13 

Walking,1  Ilh48ma.  m.  .  . 

20     11 

560 

732 

.76 

29.1 

65.1 

3.02 

Subject  I  walked  at  a  rate  of  not  far  from  105  steps  per  minute  throughout  the  walking  series 
except  on  Dec.  22,  23,  and  27.  The  total  distance  walked  on  Dec.  17  was  8,798  meters;  Dec.  18, 
8,435  meters;  Dec.  19,  7,581  meters;  Dec.  20,  8,142  meters;  Dec.  22,  10,075  meters;  Dec.  23, 
10,338  meters;  Dec.  27,  11,908  meters.  The  subject  walked  between  periods.  The  steps  per 
minute  in  the  last  three  periods  on  Dec.  22  were  95,  101,  and  95;  during  the  periods  on  Dec.  23, 
105,  94,  103,  and  96;  on  Dec.  27,  106,  94,  103,  and  92,  respectively. 


STATISTICS    OF    EXPERIMENTS. 


51 


TABLE  4. — Summary  of  results  in  experiments  with  subject  II,  during  the  period  from 

Mar.  16,  1914,  to  May  15,  1914. 
[Values  per  minute.] 


Date,  condition,  and  time. 

Dura- 
tion. 

Car- 
bon 
diox 
ide. 

Oxy 

gen. 

Respiratory 
quotient. 

o>     . 

MS 
2? 

«  £ 
>3 
*4  o 

:** 

c3  •**    !-, 

t,  a  1 

"El 

•< 

Dis- 
tance 

Steps 

Rais- 
ing 
of 
body. 

Mar.  16. 
Food,  7h  40m  a.  m.  : 
Sitting,1  9h  38m  a.  m  

min.   sec 
21     26 

c.c. 

218 

c.c. 
281 

0.77 

18  7 

meters 

meters. 

Sitting,1  10h  26m  a.  m  

23     44 

203 

256 

.79 

18  3 

Standing,2  llh  22m  a.  m  

20     13 

217 

274 

.79 

18  7 

Standing,2  llh  56m  a.  m.    . 

20     14 

223 

286 

.78 

20  2 

Walking,3  12h  53m  p.  m   . 

19     45 

672 

810 

83 

26  4 

74  3 

107 

2  88 

Food,  Ih45m  p.  m.: 
Sitting,  3h  05m  p.  m  

21     28 

250 

304 

.82 

19  9 

Standing,  3h  52m  p.  m  

18     29 

261 

319 

.82 

22  1 

Walking,3  4h  30m  p.  m  .  .  .    . 

21     27 

721 

815 

88 

29  2 

75  3 

97 

3  17 

Mar.  17. 
Food,  12  noon: 
Sitting,  3h  45m  p.  m  

18     36 

213 

272 

.78 

18  1 

Mar.  18. 
Food,  7h  30m  a.  m.  : 
Sitting,  9h  08m  a.  m  

20     51 

233 

286 

.82 

19  2 

Standing,  10  a.  m  

18     25 

244 

293 

.83 

18  2 

Walking,4  10h  55m  a.  m  

18     39 

699 

840 

.83 

25   1 

76  0 

98 

3  34 

Walking,4  llh  35m  a.  m.  .  .  . 

19     19 

702 

27  0 

78  0 

105 

3  62 

Food,  12h  30m  p.  m.: 
Sitting,  3h  09m  p.  m  

21       5 

248 

297 

.84 

19  3 

Walking,4  3h  54m  p.  m  

Mar.  19. 
Food,  7h  30m  a.  m.  : 
Sitting,  9h  24m  a.  m  

20     57 

18     49 

758 
242 

808 

282 

.94 

.86 

67 

26.9 

18  7 

76.3 

99 

3.75 

Standing,  10h  37m  a.  m  

17     29 

231 

295 

.78 

75 

19.3 

Walking,5  1  lh  21m  a.  m  

20     31 

720 

870 

.83 

26  9 

74  9 

99 

3  16 

Food,  12h  30mp.  m.: 
Sitting,  2h  18m  p.  m  

18     21 

259 

322 

.80 

77 

21  0 

Standing,  3h  05m  p.  m  

17       5 

247 

303 

.82 

86 

20  7 

Walking,5  3h  50m  p.  m   .  .    . 

18     11 

739 

833 

89 

28  1 

74  9 

96 

3  55 

Mar.  20. 
Without  food: 
Standing,6  9h  58m  a.  m  

18     48 

218 

275 

.79 

71 

16  8 

Walking,7  10h  51m  a.  m  

17     52 

583 

725 

.80 

20  4 

92 

2  61 

Food,  12h  30m  p.  m.: 
Standing,8  3h  56m  p.  m  

16     28 

274 

318 

.86 

87 

20.3 

Walking,7  4h  34m  p.  m  

19     32 

602 

634 

95 

22  6 

52  7 

92 

2  3Q 

Curing  "sitting"  periods  in  this  summary  the  subject  sat  comfortably  in  a  chair  and  was  as 
quiet  as  possible. 

2The  designation  "standing"  signifies  standing  in  a  relaxed  position  unless  otherwise  specified. 
The  subject  stood  as  quietly  as  possible. 

3Total  distance  preliminary  to  and  during  period  before  lunch,  1,633  meters;  after  lunch, 
1,740  meters. 

4Total  distance  before  lunch,  4,573  meters,  the  walking  being  continuous;  after  lunch,  distance 
preliminary  to  and  during  period,  1,690  meters. 

5Total  distance  preliminary  to  and  during  period  before  lunch,  1,573  meters;  after  lunch, 
1,462  meters. 

6Standing  on  one  leg,  right  leg  relaxed,  with  hands  in  pockets.  Subject  found  this  more  tiring 
than  standing  on  both  legs. 

7Total  distance  preliminary  to  and  during  period  before  lunch,  about  1,057  meters;  after  lunch 
the  distance  was  1,055  meters.  The  subject's  hands  swung  loosely  at  his  side  as  he  walked.  It 
should  be  stated  that  this  was  the  case  except  as  otherwise  indicated. 

8Standing  on  both  legs  with  hands  in  pockets. 


52 


ENERGY  TRANSFORMATIONS  DURING  HORIZONTAL  WALKING. 


TABLE  4. — Summary  of  results  in  experiments  with  subject  II,  during  the  period  from 
Mar.  16,  1914,  to  May  15,  191 4~ Continued. 
[Values  per  minute.] 


Date,  condition,  and  time. 

Dura- 
tion. 

Car- 
bon 
diox- 
ide. 

Oxy- 
gen. 

Respiratory 
quotient. 

Average 
pulse-rate. 

Average 

respira- 
tion-rate. 

Dis- 
tance. 

Steps. 

Rais- 
ing 
of 
body. 

Mar.  21. 
Food,  7h30raa.  m.: 
Standing,1  9h  15m  a.  m     

min.   sec. 
19     27 

c.c. 
271 

c.c. 
338 

0.80 

98 

20  7 

meters. 

meters. 

Standing,    attention,2    10h  09m 
a.  m  

16     58 

249 

288 

.87 

91 

21  2 

Walking  3  llh  15m  a.  m 

22       2 

675 

764 

.88 

22  3 

57  9 

104 

3   11 

Food,  12h30mp.  m.: 
Standing,1  2h  09m  p.  m  

15     44 

275 

355 

.78 

96 

20  9 

Standing,  attention,2  2h  48m  p.m. 

15       5 

270 

295 

.92 

94 

22  6 

Walking,3  3h  32m  p.  m 

20     18 

593 

699 

.85 

23  9 

52  8 

92 

2  59 

Mar.  23. 

Food,  7  a.  m.: 
Standing,  staff,4  9h  50m  a.  m  .  .  . 

16     15 

282 

333 

.84 

74 

20  5 

Walking,5  10h  37™  a.  m  

19     19 

625 

689 

.91 

22  8 

57  9 

93 

2  74 

Walking,5  llh  34m  a.  m    . 

18     36 

670 

764 

.88 

25  2 

57  5 

99 

2  61 

Mar.  24. 

Without  food  : 
Standing,  staff,  9h  07m  a.  m  .... 

18     23 

217 

250 

.87 

8? 

18  8 

Standing,  support,6  9h  54m  a.  m. 

19       6 

196 

256 

.77 

79 

17  7 

Walking,7  llh  05m  a.  m  

16     13 

628 

778 

.81 

21  9 

60  6 

95 

1  09 

Food,  12h  15mp.  m.: 
Standing,  staff,  lh  56m  p.  m 

16     49 

289 

356 

.81 

95 

22  1 

Standing,  support,6  2h  40m  p.  m. 

17     51 

254 

301 

.84 

9? 

20  7 

Walking  7  3h  34m  p.  m 

16       1 

734 

809 

.91 

21  3 

62  7 

101 

81 

Mar.  25. 

Without  food: 
Sitting,  9h  58m  a.  m  

18       5 

192 

260 

.74 

59 

18  0 

Standing,    attention,8    10h  57m 
a.  m    . 

14     11 

206 

265 

.78 

79 

18  7 

Walking,9  llh  52m  a.  m 

17       3 

570 

709 

.80 

19  8 

60  6 

92 

1.77 

Food,  12h30mp.  m.: 
Sitting   2h  03m  p.  m 

15     15 

272 

316 

.86 

73 

19  6 

Standin"  attention  8  2h  38m  p  m. 

13     53 

292 

309 

95 

95 

20  2 

Walking,9  3h  39m  p.  m  .  .  . 

17     33 

704 

726 

.97 

24.1 

61.1 

90 

1.50 

'Standing  with  weight  on  one  leg,  the  other  leg  relaxed;  hands  in  pockets. 

2Standing  on  both  legs,  with  hands  at  sides,  in  tense  position;  subject  stiff  and  tired  after  the 
period  was  finished. 

3Total  distance  before  lunch,  1,362  meters;  after  lunch,  1,113  meters. 

4Standing  relaxed,  leaning  on  long  staff,  with  one  hand  above  the  other  on  the  staff. 

6Total  distance,  2,568  meters,  the  walking  being  continuous.  During  the  first  of  the  two  periods 
subject's  hands  were  upon  a  support  at  either  side;  in  the  second  period  his  hands  were  swinging 
at  his  sides. 

6Leaning  against  support.  In  the  morning  subject  stood  with  hands  in  his  pockets  and  was  not 
sufficiently  comfortable;  in  the  afternoon  he  placed  his  hands  on  his  back. 

'Total  distance  before  lunch,  1,150  meters;  after  lunch,  1,190  meters.  In  the  first  period  on 
this  day  a  counter  was  first  used  to  obtain  the  number  of  steps  and  a  wheel  for  measuring  the  total 
height  of  the  raising  of  the  body.  Both  these  devices  were  generally  in  use  during  the  remainder 
of  the  series. 

'Subject  could  not  wholly  secure  the  erect  position  desired;  at  the  end  of  the  afternoon  period 
he  was  not  able  to  stand  longer. 

9Total  distance  before  lunch,  1,189  meters;  after  lunch,  1,295  meters.  In  both  periods,  the 
subject  supported  his  hands  on  his  legs. 


STATISTICS    OF    EXPERIMENTS. 


53 


TABLE  4. — Summary  of  results  in  experiments  with,  subject  II,  during  the  period  from 
Mar.  16,  1914,  to  May  15,  1914— Continued. 

[Values  per  minute.) 


Date,  condition,  and  time. 

Dura- 
tion. 

Car- 
bon 
diox- 
ide. 

Oxy- 
gen. 

Respiratory 
quotient. 

o>    . 

M.£ 

03  2 
t*  i 

«  % 

>~3 
^  a 

Average 
respira- 
tion-rate. 

Dis- 
tance. 

Steps. 

Rais- 
ing 
of 
body. 

Mar.  26. 
Without  food: 
Standin^   staff,  9h  10m  a.  m  .... 

min.   sec. 
17     15 

c.c. 
223 

c.c. 
253 

0.88 

so 

18.7 

meters. 

meters. 

Standing    support  l  9h  49™  a.  m  . 

18     18 

201 

238 

.84 

79 

19.1 

Walkin"-  2  10h  58m  a.  m. 

17     49 

605 

701 

.86 

22  0 

62.7 

99 

3  09 

Food,  12h30mp.  m.: 
Standing  staff  2  p  m 

15     53 

274 

317 

.86 

94 

20  6 

Standing   support   2h  38m  p   m 

16     11 

254 

289 

.88 

93 

21   8 

Walking  2  3h  35m  p.  m 

18     35 

694 

738 

.94 

25.4 

60.7 

96 

2  30 

Mar.  27. 
Without  food: 
Sitting,  9h  18m  a.  m  

12     32 

195 

234 

.83 

58 

17.6 

Standing,    attention,    10h    03m 
a  m 

15       5 

219 

272 

.80 

71 

18.9 

Walking  3  llh  56m  a.  m 

18       8 

544 

652 

.83 

22  8 

57.6 

95 

2  09 

Food,  12h45mp.  m.: 
Standing,  attention,  2h  24m  p.m  . 

15     14 

294 

298 

.99 

95 

22.4 

Walking  3  2h  57m  p.  m 

18     25 

681 

727 

.94 

27.1 

58.6 

91 

2.15 

Mar.  28. 
Food,  7h30ma.  m.: 
Standing  support  9*1  40m  a.  m 

13     43 

279 

304 

.92 

87 

20  7 

Standing,  support,  10h  15m  a.  m  . 

17     43 

246 

276 

.89 

81 

21.0 

Walking,4  llh  30m  a.  m        

16     16 

654 

702 

.93 

22.1 

59.4 

97 

2.52 

Food,  12h30mp.  m.: 
Standing  support,  I'1  44m  p.  m 

16     48 

280 

314 

.89 

85 

21  0 

Walking,4  2h  24™  p.  m  

17     12 

743 

759 

.98 

24.5 

59.3 

96 

2.12 

Mar.  30. 
Food,  7h  30m  a.  m.  : 
Standing,  attention,  9h  36m  a.  m  . 

15     54 

261 

271 

.96 

76 

20.2 

Standing  staff,  10h  15m  a.  m  .  .  . 

14     51 

261 

296 

.88 

71 

18.9 

Walking  8  llh  17m  a.  m 

17     15 

658 

744 

.88 

19  2 

58  5 

100 

2  26 

Food,  12h45mp.  m.: 
Standing   staff    lh  50m  p.  m 

15       8 

318 

339 

94 

95 

21  3 

Walking,5  2h  27m  p.  m      

16     56 

681 

722 

.94 

24.8 

58.5 

92 

2.40 

Walking  B  3h  26m  p.  m  . 

15     11 

666 

709 

.94 

21.9 

57.3 

99 

2.24 

Mar.  31. 
Without  food: 
Standing  support,  8h  38m  a.  m 

17     48 

214 

239 

89 

77 

18  4 

Standing  relaxed  9h  21m  a.  m. 

16     40 

209 

260 

80 

71 

17  8 

Standing,    attention,    10h    02m 
am                                  

13       9 

233 

272 

.86 

75 

19.4 

Walking  6  llh  47m  a.  m 

15     59 

571 

673 

.85 

21  6 

57.2 

98 

2  01 

lLeaning  comfortably  against  support,  hands  on  back. 

2Total  distance  before  lunch,  1,286  meters;  after  lunch,  1,345  meters.  Subject  held  his  hands 
on  his  legs  as  he  walked. 

3Total  distance  before  lunch,  1,184  meters;  after  lunch,  1,266  meters.  Subject  held  his  hands 
at  his  sides  as  he  walked. 

4Total  distance  before  lunch,  1,158  meters;  after  lunch,  1,210  meters.  In  the  morning,  subject 
walked  with  hands  held  on  his  legs;  in  the  afternoon  his  hands  were  swinging  at  his  sides. 

BTotal  distance  before  lunch,  1,198  meters,  subject  walking  with  hands  swinging.  After  lunch 
distance  was  2,229  meters,  hands  being  on  support  in  the  first  period  and  swinging  at  his  sides  in 
the  second  period.  Most  of  the  time  between  periods  he  was  not  walking. 

6Total  distance  before  lunch,  1,085  meters;  after  lunch,  1,020  meters. 


54 


ENERGY  TRANSFORMATIONS  DURING  HORIZONTAL  WALKING. 


TABLE  4. — Summary  of  results  in  experiments  with  subject  II,  during  the  period  from 
Mar.  16,  1914,  to  May  15,  1914— Continued. 

[Values  per  minute.] 


Date,  condition,  and  time. 

Dura- 
tion. 

Car- 
bon 
diox- 
ide. 

Oxy- 
gen. 

Respiratory 
quotient. 

o 
M.g 
03    g 

si 

>3 

<j  a 

Average 
respira- 
tion-rate. 

Dis- 
tance. 

Steps. 

Rais- 
ing 
of 
body. 

Mar.  31  —  Continued. 
Food,  1  p.  m.  : 
Walking,1  2h  08m  p.  m 

min.  sec. 
14     57 

c.c. 

685 

c.c. 
705 

0  97 

23  9 

meters. 

57  7 

99 

meters. 
1   72 

Standing,  relaxed,  2h  55m  p.  m  .  . 

15     36 

277 

345 

.80 

89 

20  6 

Standing,  attention,  3h  40m  p.  m. 

11     52 

265 

326 

.81 

89 

20  7 

Apr.  1. 
Without  food: 
Standing,  9h  50m  a.  m  

15     13 

213 

266 

.80 

75 

17  9 

Walking,2  llh  21m  a.  m 

15     57 

563 

699 

81 

21  5 

59  3 

100 

2  22 

Food,  12  noon: 
Standing,  lh  42m  p.  m  

16     30 

283 

319 

.89 

86 

20  2 

Apr.  2. 
Food,  7h  15ma.  m.: 
Standing,  support,  8h  44m  a.  m  .  . 

15     30 

273 

306 

.89 

89 

20  0 

Standing,  relaxed,  9h  53m  a.  m  .  . 

12     15 

253 

281 

.90 

86 

19  7 

Standing,    attention,    10h    45m 
a.  m  

12     18 

248 

268 

.93 

78 

18  8 

Apr.  3. 
Without  food: 
Sitting,  8h  46m  a.  m  

15     20 

219 

245 

.89 

67 

19.4 

Standing,  staff,  9h  26m  a.  m  .... 

15       7 

224 

278 

.81 

77 

19  1 

Walking,3  10h  33m  a.  m 

13     43 

771 

903 

85 

20  6 

76  2 

114 

2  38 

Food,  12h45mp.  m.: 
Walking,3  lh  28m  p.  m 

14     18 

667 

686 

97 

23  4 

57  0 

100 

2  02 

Walking  3  2h  28m  p.  m 

14       7 

894 

938 

95 

22  2 

77  0 

110 

2  84 

Walking,3  3h  35m  p.  m  

14     52 

860 

895 

.96 

22  8 

78  9 

112 

3  38 

Standing,  4h  28m  p.  m  

16     24 

244 

293 

.83 

81 

22  0 

Apr.  4. 
Food,  7h  15ma.  m.: 
Walking,4  10h  llm  a.  m 

15     35 

608 

651 

93 

57Cj 

20  7 

55  1 

100 

1  91 

Walking,4  10h  56m  a.  m 

15     42 

573 

620 

92 

679 

22  6 

56  8 

100 

1  98 

Walking,4  llh  29m  a.  m  

14     18 

554 

669 

.83 

21   3 

56  2 

99 

1  87 

Food,  lh  15mp.  m.: 
Walking,4  2  p.  m  

13     57 

657 

707 

.93 

23  3 

54  4 

101 

2  05 

Walking,4  2h  55m  p.  m  .  .  .    . 

15     45 

705 

755 

93 

24  6 

58  1 

101 

2  21 

Apr.  66 
Without  food: 
Standing,  9h  04m  a.  m  . 

16       9 

218 

246 

89 

574 

19  8 

Walking,7  9h  41m  a.  m 

16     11 

586 

681 

86 

579 

17  3 

57  8 

104 

1  78 

Walking,7  10h  22m  a.  m 

15     41 

567 

668 

85 

574 

20  9 

56  8 

105 

1  83 

Walking,7  llh  13m  a,  m  

17     14 

553 

659 

84 

577 

21  5 

56  0 

102 

1.91 

Protein,  12h  55m  p.  m.: 
Standing,  lh  24m  p.  m  

13     16 

241 

296 

82 

19  2 

Walking,7  lh  46m  p.  m  

15     59 

631 

725 

87 

B78 

19  4 

57  5 

105 

2.21 

Walking,7  2h  24m  p.  m  

14     36 

641 

712 

90 

21  6 

57  2 

105 

1.94 

Walking,7  3h  05m  p.  m  

15     49 

617 

70S 

87 

586 

23  7 

56  3 

99 

1.81 

distance  before  lunch,  1,085  meters;  after  lunch,  1,020  meters. 

2Total  distance  preliminary  to  and  during  period,  1,164  meters. 

3Total  distance  before  lunch,  1,244  meters;  after  lunch,  7,296  meters.  During  about  43  minutes 
between  the  first  two  periods  of  the  afternoon  subject  was  not  walking. 

4Total  distance  before  lunch,  5,207  meters;  after  lunch,  4,132  meters.  The  walking  was 
continuous. 

'Electrocardiograms,  were  obtained  during  these  periods  by  means  of  the  string  galvanometer. 

6On  and  after  Apr.  6,  subject's  food  was  prepared  and  eaten  at  the  Laboratory. 

7Total  distance  before  lunch,  6,140  meters;  after  lunch,  5,433  meters.  The  walking,  as  was 
usually  the  case  in  the  days  that  follow,  was  continuous. 


STATISTICS    OF    EXPERIMENTS. 


55 


TABLE  4. — Summary  of  results  in  experiments  with  subject  II,  during  period  from 

Mar.  16,  1914,  to  May  15,  1914— Continued. 

[Values  per  minute.] 


Date,  condition,  and  time. 

Dura- 
tion. 

Car- 
bon 
diox- 
ide. 

Oxy- 
gen. 

Respiratory 
quotient. 

to     . 
M  « 
S3    g 
M     i 
«    £ 

>~5 
«!  ft 

*    '    6 

M£"£ 

c3  "*    i* 

K     °-    C 

»  S  o 
>   i-  V- 

^ 

Dis- 
tance. 

Steps. 

Rais- 
ing 
of 
body. 

Apr.  7. 
Without  food: 
Standing,  9h  IS™  a.  m  

min.  sec. 
14     29 

c.c. 
214 

c.c. 

257 

0.83 

28?i 

19  2 

meters. 

meters. 

Walking,1  9h  56m  a.  m  

15     30 

606 

729 

.83 

275 

20  1 

59.6 

109 

1  98 

Walking,1  10h  58m  a.  m  
Standing   llh  27m  a.  m 

15     59 

14       8 

544 
198 

660 
235 

.82 
.84 

279 
2PO 

22.1 
21   4 

58.2 

105 

1.95 

Protein,  lh  03m  p.  m.: 
Standing,  lh  31m  p.  m  

13     23 

217 

289 

.75 

288 

19  6 

Walking,1  2h  07m  p.  m  

16     19 

643 

732 

.88 

281 

20  4 

58.8 

107 

1  78 

Walking  J  3  p.  m                  .    . 

13     36 

671 

772 

.87 

288 

25   1 

58.7 

107 

1  83 

Walking,1  3h  42m  p.  m  

13     59 

593 

701 

.85 

24.5 

56.9 

99 

1.82 

Apr.  8. 
Without  food: 
Standing,  9h  10m  a.  m 

14       6 

204 

265 

.77 

18  4 

Walking,3  9h  40m  a.  m  

12     15 

761 

922 

.82 

21.0 

76.1 

121 

3.01 

Walking,3  10h  14m  a.  m  

14     22 

662 

826 

.80 

23  0 

77.6 

117 

2.81 

Walking,3  llh  Olm  a.  m   . 

13     29 

660 

807 

.82 

24  4 

78.3 

113 

2  85 

Protein,  1  p.  m.  : 
Standing,  lh  23m  p.  m 

12     54 

230 

275 

.83 

19  1 

Walking,3  2h  Olm  p.  m  

13     22 

785 

869 

.90 

22.6 

76.9 

120 

2.50 

Walking,3  2h  44m  p.  m  

13     47 

792 

892 

.89 

25.7 

78.0 

117 

3.01 

Walking,3  3h  30m  p.  m     

13        1 

782 

917 

.85 

25  6 

79.2 

118 

2  70 

Apr.  9. 
Without  food  : 
Standing,  8h  42ra  a.  m  

14     21 

202 

228 

.89 

82 

18.7 

Walking,4  9h  22m  a.  m  

15     15 

590 

701 

.84 

21.0 

59.3 

107 

1  92 

Walking,4  10h  07m  a.  m      .... 

14     23 

546 

663 

.82 

22  5 

58.8 

105 

2  05 

Walking,4  10h  47m  a.  m 

14     34 

568 

697 

.81 

25   1 

59  0 

107 

1  98 

Carbohydrate,  1  p.  m.: 
Standing,  lh  19ra  p.  m  

12     42 

245 

295 

.83 

76 

19.4 

Walking,4  lh  45m  p.  m  

15     32 

649 

704 

.92 

22.9 

59.4 

107 

1.95 

Walking,4  2h  26m  p.  m  

13     48 

646 

691 

.93 

26.2 

59.0 

106 

1  94 

Walking,4  3h  14m  p.  m  .    ... 

15     37 

651 

715 

.91 

26   1 

58.8 

104 

1  94 

Apr.  10. 
Without  food: 
Standing   8h  54m  a.  m 

13     39 

212 

257 

.83 

78 

19  3 

Walking,5  9h  34m  a.  m  

14     22 

795 

814 

.98 

22.6 

77.3 

120 

2.77 

Walking,6  10h  57m  a.  m  

12     46 

712 

841 

.85 

24.4 

78.9 

114 

3.21 

Carbohydrate,  12h  08m  p.  m.: 
Standing,  12h  31™  p.  m 

13     13 

264 

301 

.88 

86 

21    1 

Walking  5  lh  16m  p.  m 

13     23 

879 

948 

.93 

23   1 

78  0 

118 

3  01 

Walking  5  lh  50m  p.  m 

14     31 

857 

926 

.93 

26  0 

79  1 

116 

3  17 

Walking,6  2h  30m  p.  m  

14     25 

823 

881 

.93 

26.8 

79.7 

116 

3.35 

Apr.  14. 
Without  food  : 
Standing,  9b  02m  a.  m  

15     52 

223 

245 

.91 

<H 

19.0 

Walking,6  9h  48m  a.  m 

13     51 

630 

695 

.91 

20  7 

61  7 

104 

2  45 

Walking  6  10h  22m  a.  m 

14     35 

597 

666 

.90 

23  6 

62   1 

103 

2  34 

Walking  6  1  lh  06m  a.  m 

14     59 

563 

672 

84 

24  4 

62  4 

102 

2  37 

1Total  distance  before  lunch,  5,007  meters;  after  lunch,  6,560  meters. 

Electrocardiograms  were  obtained  during  these  periods  by  means  of  the  string  galvanometer. 

3Total  distance  before  lunch,  7,287  meters;  after  lunch,  7,933  meters. 

4Total  distance  before  lunch,  5,868  meters;  after  lunch,  6,141  meters. 

6Total  distance  before  lunch,  8,372  meters;  after  lunch,  7,221  meters. 

6Total  distance  before  lunch,  6,157  meters;  after  lunch,  6,062  meters. 


56 


ENERGY  TRANSFORMATIONS  DURING  HORIZONTAL  WALKING. 


TABLE  4. — Summary  of  results  in  experiments  with  subject  II,  during  the  period  from 
Mar.  16,  1914,  to  May  15,  1914— Continued. 

[Values  per  minute.] 


Date,  condition,  and  time. 

Dura- 
tion. 

Car- 
bon 
diox- 
ide. 

Oxy- 
gen. 

Respiratory 
quotient. 

eu    . 

MS 
03    oj 

st 

>3 
<  a 

*  d  <" 
"S-5 

03  •—    •„ 

n  a  i 
«  £  § 

>•    (H  '+» 
<j 

Dis- 
tance. 

Steps. 

Rais- 
ing 
of 
body. 

Apr.  14  —  Continued. 
Carbohydrate,  1  p.  m.:1 
Standing    lh  23m  p   m 

ruin.  sec. 
14     32 

c.c. 
242 

c.c. 
295 

0.82 

QO 

19  5 

meters. 

meters. 

Walking  2  lh  59m  p.  m 

14     15 

681 

674 

1.01 

23.4 

61.2 

102 

2.38 

Walking  2  2h  37m  p   m 

15     36 

672 

711 

.94 

25.6 

62  0 

102 

2.20 

Walking,2  3h  15m  p.  m  

14     16 

671 

693 

97 

25.9 

62.2 

104 

2.27 

Apr.  15. 
Without  food: 
Standing  8h  48m  a  m 

15     41 

214 

252 

.85 

74 

17  7 

Walking  3  9h  30m  a.  m      

12     57 

818 

934 

88 

22.7 

77.2 

119 

3.33 

Walking  3  10h  08m  a.  m 

15     19 

696 

829 

.84 

25.7 

79.4 

115 

3.52 

Walking  3  10h  53m  a.  m 

14     21 

690 

837 

.82 

25.4 

80.2 

114 

3.49 

Carbohydrate,  12h  52m  p.  m.: 
Standing    lh  14m  p   m 

14       1 

267 

277 

.96 

83 

20.9 

Walking  3  lh  52m  p.  m   

14     40 

875 

902 

97 

26.4 

78.2 

117 

3.88 

Walking  3  2h  29m  p.  m  

14     54 

859 

878 

.98 

28.9 

80.1 

115 

3.72 

Walking  3  3h  05m  p.  m           .... 

17     40 

898 

924 

.97 

28.9 

80.6 

117 

3.88 

Apr.  16. 
Without  food: 
Standing  8h  32™  a  m 

14     55 

258 

QO 

19.5 

Walking,4  9h  14m  a.  m  

15     22 

568 

644 

88 

21.0 

61.9 

105 

2.38 

Walking  4  9h  53m  a.  m         

12     34 

544 

668 

.81 

24.4 

62.3 

106 

2.37 

Walking  4  10h  36m  a.  m   .    . 

14       2 

553 

661 

84 

25.1 

61.8 

106 

2.20 

Fat,  Ilh30ma.  m.: 
Standing    12h  03m  p.  m 

14     10 

239 

292 

.82 

98 

19.8 

Walkin"  4  12h  44m  p   m 

14     13 

600 

683 

.88 

23.4 

61.6 

107 

2  49 

Walking  4  lh  20m  p   m 

15     31 

593 

635 

.93 

25.7 

62.3 

105 

2  48 

Walking,4  2h  14m  p.  m     

15     53 

611 

701 

87 

26.2 

62.2 

105 

2.24 

Walking  4  3h  10m  p.  m     

18       8 

586 

707 

83 

25.0 

61.9 

103 

2.21 

Apr.  17. 
Without  food: 
Standing   8h  31m  a.  m 

14     22 

214 

265 

81 

85 

20.9 

Walking  5  9h  08m  a.  m 

13     48 

773 

895 

.86 

23.8 

76.6 

118 

3  36 

Walking  5  9h  50m  a   m 

14     58 

672 

816 

.82 

24.6 

78.1 

117 

3  45 

Walking  8  10h  37m  a   m 

14     39 

693 

862 

.80 

26.8 

79.3 

117 

3  80 

Fat,  Ilh30m  a.  m.: 
Standing    12h  09m  p   m 

16     18 

231 

281 

.82 

QQ 

20.5 

Walking  5  12h  48m  p.  m  

14     49 

715 

832 

86 

23.5 

77.6 

118 

3.96 

Walking  6  lh  34m  p.  m      

13     20 

735 

883 

83 

26.8 

79.5 

117 

3.78 

Walking  5  2h  18m  p.  m 

14     11 

799 

938 

85 

27.9 

80.0 

119 

3.85 

Walking  5  3h  17m  p.  m 

16     15 

721 

856 

.84 

27.2 

SO.O 

115 

3.67 

Apr.  21. 
Without  food: 
Standing   10h  25m  a.  m 

13     59 

205 

242 

.85 

78 

19.1 

Walking  6  llh  16m  a.  m 

15     50 

562 

639 

.  .88 

22.8 

60.8 

105 

2  32 

Fat,  12h30mp.  m.: 
Standing    lh  03m  p.  m 

12     33 

220 

301 

.73 

91 

19.7 

Walkin"  6  lh  45m  p.  m 

14     13 

590 

683 

.86 

21.8 

60.4 

104 

2.45 

Walkino-  6  2h  25m  p.  m 

14     55 

624 

699 

.89 

25.2 

60.6 

104 

2  56 

Walking  6  3h  10m  p.  m 

14     17 

608 

705 

.86 

25.8 

60.5 

103 

2  34 

Walking  6  4h  Olm  p.  m 

16     12 

592 

709 

.83 

25.4 

60.5 

105 

2  23 

JSubject  did  not  eat  so  much  as  on  other  days. 

2Total  distance  before  lunch,  6,157  meters;  after  lunch,  6,062  meters. 
3Total  distance  before  lunch,  8,306  meters;  after  lunch,  7,657  meters. 
4Total  distance  before  lunch,  6,350  meters;  after  lunch,  10,547  meters. 
5Total  distance  before  lunch,  8,680  meters;  after  lunch,  13,566  meters. 

6Total  distance  preliminary  to  and  during  period  before  lunch,    1,651   meters;  after  lunch, 
9,494  meters. 


STATISTICS    OF    EXPERIMENTS. 


57 


TABLE  4. — Summary  of  results  in  experiments  with  subject  II,  during  period  from 
Mar.  16,  1914,  to  May  15,  1914— Continued. 
[Values  per  minute. 1 


Date,  condition,  and  time. 

Dura- 
tion. 

Car- 
bon 
diox- 
ide. 

Oxy- 
gen. 

Respiratory 
quotient. 

SI      , 

M.2 
03    rt 

!H      I 
«     £ 

>3 
<4  a 

0  d  a> 

S.SB 

Ssg 

>    t~  -5 
< 

Dis- 
tance. 

Steps. 

Rais- 
ing 
of 
body. 

Apr.  22. 
Without  food: 
Standing,  8h  39m  a.  m  

min.   sec. 
14     20 

c.c. 
207 

c.c. 
251 

0.83 

84 

18.0 

meters. 

meters. 

Walking,1  9h  27m  a.  m 

15     17 

687 

804 

85 

23  5 

76  8 

118 

3  33 

Walking  1  10h  09m  a.  m 

13     26 

655 

829 

79 

26   1 

78  6 

118 

3  44 

Walking,1  10h  44m  a.  m  

13     48 

647 

822 

.79 

25  7 

79  2 

115 

3  42 

Fat,  Ilh40ma.  m.: 
Standing,  12h  14m  p.  m  

14     11 

227 

299 

.76 

Q3 

20.8 

Walking,1  12h  55m  p.  m   . 

14     30 

725 

833 

87 

26  0 

77  3 

116 

3  86 

Walking,1  lh  34m  p.  m  

13     37 

729 

877 

.83 

28.7 

78  7 

118 

3  86 

Walking,1  2h  20m  p.  m  

13     18 

737 

877 

.84 

28  4 

79  5 

118 

3  92 

Walking,1  3h  Olm  p.  m  

14     03 

739 

858 

86 

28  4 

79  7 

116 

3  84 

Apr.  23. 

Without  food  : 
Standing,  8h  40m  a.  m  

15     57 

208 

252 

.82 

74 

19  3 

Walking,2  9h  34m  a.  m      .... 

15     23 

561 

675 

83 

20  5 

61   1 

105 

2  53 

Walking,2  10h  15m  a.  m 

16     37 

528 

660 

80 

24  2 

105 

2  46 

Protein,  llh  10m  a.  m.: 
Standing,  llh  40m  a.  m  

14       7 

223 

254 

.88 

81 

20.1 

Walking,2  12h  24m  p.  m  

13       0 

644 

722 

.89 

19  7 

61  2 

106 

2  74 

Walking,2  lh  03m  p.  m  

13     18 

607 

705 

86 

24  6 

61  6 

105 

2  57 

Walking,2  lh  47m  p.  m  

13     56 

606 

707 

86 

25  0 

61  6 

104 

2  48 

Walking,2  2h  28m  p.  m 

15       5 

605 

707 

86 

24  3 

61  7 

103 

2  63 

Apr.  24. 

Without  food  : 
Standing,  9h  14m  a.  m  

12     43 

198 

8? 

18.7 

Walking,3  9h  55m  a.  m  . 

14     31 

635 

790 

80 

21  4 

76  4 

116 

3  60 

Walking,3  10h  26m  a.  m 

12     24 

636 

828 

77 

25  8 

78  4 

117 

3  69 

Protein,  llh  15m  a.  m.: 
Standing,  llh  58m  a.  m  

14     19 

219 

299 

.73 

94 

20  3 

Walking,3  12h  35m  p.  m  

14     21 

699 

835 

.84 

22  9 

77  0 

114 

3  74 

Walking,3  lh  07m  p.  m      .    . 

13       9 

695 

853 

81 

26  3 

78  8 

115 

3  88 

Walking,3  lh  42m  p.  m 

13     54 

704 

890 

79 

26  3 

80  0 

115 

3  84 

Walking,3  2h  15m  p.  m 

14       0 

712 

880 

81 

25  4 

80  0 

115 

3  88 

Apr.  25. 

Without  food: 
Standing,  9h  30m  a.  m  

12     59 

192 

264 

.73 

79 

19.6 

Walking,4  10  a.  m  

13     24 

543 

665 

82 

20  2 

63  0 

105 

2  65 

Walking4  10h  33m  a.  m 

13     25 

531 

695 

76 

23  3 

64  0 

107 

2  69 

Carbohydrate,  llh  20m  a.  m.: 
Standing,  llh  49m  a.  m  

12     21 

274 

324 

.85 

83 

20  6 

Walking,4  12h  25m  p.  m  

14     37 

668 

708 

.94 

22  2 

63  1 

104 

2  88 

Walking,4  12h  56m  p.  m  

17     17 

662 

711 

.93 

24  4 

63  8 

105 

2  70 

Walking,4  lh  40m  p.  m  

15     23 

688 

694 

99 

25  7 

63  7 

106 

2  85 

Walking,4  2h  30m  p.  m 

15     13 

641 

669 

96 

25  2 

63  3 

104 

2  64 

distance  before  lunch,  7,548  meters;  after  lunch,  11,466  meters. 
2Total  distance  before  lunch,  about  4,300  meters;  after  lunch,  8,908  meters. 
3Total  distance  before  lunch,  3,888  meters;  after  lunch,  9,414  meters. 
4Total  distance  before  lunch,  3,216  meters;  after  lunch,  9,089  meters. 


58 


ENERGY  TRANSFORMATIONS  DURING  HORIZONTAL  WALKING. 


TABLE  4. — Summary  of  results  in  experiments  with  subject  II,  during  period  from 
Mar.  16,  1914,  to  May  15,  1914 — Continued. 

[Values  per  minute.) 


Date,  condition,  and  time. 

Dura- 
tion. 

Car- 
bon 
diox- 
ide. 

Oxy- 
gen. 

Respiratory 
quotient. 

<D      . 
M.S 

03    g 

£  & 

>~3 

•<  Q 

Average 
respira- 
tion-rate. 

Dis- 
tance. 

Steps. 

Rais- 
ing 
of 
body. 

Apr.  27. 
Without  food: 
Standing  9h  10m  a.  m 

min.   sec. 
13     52 

c.c. 
217 

c.c. 
245 

0.89 

77 

20  5 

meters. 

meters. 

Walking,1  9h  48m  a.  m  

13     54 

681 

767 

.89 

23.3 

73.5 

115 

3.25 

Walking,1  10h  20m  a.  m  

12     26 

679 

821 

.83 

26.5 

78.1 

116 

3.64 

Carbohydrate,  llh  10™  a.  m.: 
Standing,  llh  34m  a.  m  

13     50 

294 

326 

.90 

75 

21.0 

Walking,1  12h  12m  p.  m  

14     22 

845 

854 

.99 

24.7 

77.5 

116 

3.60 

Walking  l  12h  45m  p.  m 

13     29 

837 

797 

1.05 

27.5 

78.9 

115 

3  56 

Walking,1  lh  21m  p.  m 

15     43 

886 

840 

1.05 

28  6 

79.8 

116 

3  88 

Walking,1  2h  08m  p.  m  

15     32 

850 

801 

1.06 

27.6 

80.2 

116 

3.74 

Apr.  28. 

Without  food  : 
Standing   8h  39m  a   m 

12     30 

221 

274 

.81 

8? 

19  6 

Walking  2  9h  12m  a.  m 

15     53 

713 

828 

.86 

23.0 

78.2 

118 

3.41 

Walking,2  9h  48m  a.  m 

13       4 

699 

820 

.85 

26.4 

79.8 

116 

3.60 

Walking  2  10h  26m  a   m 

13     20 

680 

846 

.80 

26.1 

80.0 

116 

3  53 

Walkin"  -  llh  07m  a  m 

13     52 

689 

858 

.80 

26.5 

80  7 

118 

3  80 

Walking,2  llh  51m  a.  rn    

15     20 

716 

925 

.77 

27.4 

80.4 

121 

3.33 

Walking,2  12h  33m  p.  m    . 

14     44 

657 

854 

.77 

27.2 

80.2 

116 

3.67 

Walking,2  lh  06ra  p.  m 

14     43 

682 

865 

.79 

28.1 

80.2 

119 

3.80 

Walking,2  lh  49m  p   m 

15       8 

659 

859 

.77 

27.8 

80.4 

116 

3.46 

Apr.  29. 

Carbohydrate,  8h  35m  a.  m.  : 
Walking  3  9h  08m  a   m 

14       8 

817 

864 

.95 

27.1 

76.9 

114 

3.63 

Walking,3  9h  45m  a.  m  

14     26 

789 

863 

.91 

27.2 

78.2 

114 

3.56 

Walking,3  10h  24m  a.  m    

14     11 

817 

839 

.97 

27.8 

79.5 

114 

3.52 

Walking,3  llh  04m  a.  m        .      . 

14     42 

797 

810 

.98 

26.9 

80.9 

117 

3.74 

Walking,3  llh  40m  a.  m 

14     25 

777 

823 

.94 

26.6 

81.1 

116 

3.76 

Walking,3  12h  18m  p.  m 

13     42 

696 

790 

.88 

27.2 

80.9 

115 

3.29 

Walking  3  12h  58m  p.  m 

14     56 

704 

848 

.83 

26.9 

81.0 

120 

3.73 

Walking,3  lh  35m  p.  m  

15     19 

666 

830 

.80 

27.1 

81.1 

116 

3.69 

May  4. 

Without  food  : 
Walking,4  9h  27m  a.  m      .... 

10     38 

1183 

1377 

.86 

25.1 

114.5 

138 

6.43 

Walking,4  10h  02m  a.  m 

11       9 

1052 

1175 

.90 

27.7 

109.1 

134 

6.16 

Walking,4  10h  35m  a.  m 

11     26 

934 

1117 

.84 

26.9 

102.0 

128 

5.88 

Carbohydrate,  llh  19m  a.  m: 
Walking,4  12h  02m  p.  m 

10     34 

1212 

1336 

.91 

27.1 

113.4 

134 

6.84 

Walking  4  12h  43m  p.  m 

11     23 

1237 

1295 

.95 

28.6 

112.3 

131 

7.88 

Walking,4  lh  16m  p.  m  

10     56 

1177 

1221 

.96 

28.6 

110.3 

128 

7.41 

distance  before  lunch,  3,793  meters;  after  lunch,  10,612  meters. 

2Total  distance  in  about  5  hours  of  continuous  walking,  23,697  meters.  Pulse-rate  of  subject 
standing  during  5  consecutive  minutes  immediately  after  walking,  100,  98,  96,  96,  and  98  per 
minute. 

3Total  distance  in  4  hours  and  52  minutes  of  continuous  walking,  22,919  meters.  Pulse-rate 
during  4  minutes  soon  after  the  carbohydrate  breakfast  averaged  73  per  minute  with  the  subject 
sitting;  during  4  consecutive  minutes  immediately  after  walking  it  was  80,  79,  80,  and  79  per 
minute,  with  subject  standing. 

4Total  distance  before  lunch,  6,949  meters;  for  about  20  minutes  after  the  first  period  subject 
was  not  walking.  After  lunch,  the  distance  was  9,362  meters. 


STATISTICS    OF    EXPERIMENTS. 


59 


TABLE  4.^Summary  of  results  in  experiments  with  subject  II,  during  the  period  from 

Mar.  16,  1914,  to  May  15,  1914— "Continued. 

[Values  per  minute.] 


Date,  condition,  and  time. 

Dura- 
tion. 

Car- 
bon 
diox- 
ide. 

Oxy- 
gen. 

Respiratory 
quotient. 

o>     . 
M.2 
ca    cj 
fc*     i 

«  S 
>3 
«<  & 

m  i  ® 

»23 

03  •->    h 
n    0.  L 

»  S  o 

>    f*  '•*> 

<! 

Dis- 
tance. 

Steps. 

Rais- 
ing 
of 
body. 

May  6. 
Without  food: 
Standing,  8h  24m  a.  m  

min.  sec 
13       7 

.   c.c. 
229 

c.c. 

277 

0.83 

83 

19.7 

meters. 

meters. 

Walking,1  9h  42m  a.  m  .    . 

10       3 

1011 

1124 

.90 

25.5 

106  0 

133 

4  86 

Walking,1  10h  llm  a.  m 

11       5 

915 

1101 

.83 

28.0 

102  6 

127 

5  82 

Walking,1  10h  44m  a.  m 

10       3 

909 

1151 

.79 

28.0 

103  6 

126 

6  06 

Protein,  Ilh31ma.  m.: 
Walking,1  llh  57™  a.  m  

9     25 

1135 

1298 

.87 

28.8 

112.6 

133 

7  69 

Walking,1  12h  30m  p.  m  .... 

10     39 

1137 

1318 

.86 

29.0 

113  7 

133 

7  83 

Walking,1  lh  13m  p.  m 

10     32 

1035 

1208 

.86 

28.5 

106  0 

128 

6  40 

Walking,1  lh  46m  p.  m  

9     31 

1076 

1307 

.82 

29.2 

111.3 

129 

7  76 

May  6. 

Without  food: 
Walking,2  9h  08m  a.  m 

8     55 

1902 

2068 

.92 

31.1 

140  7 

149 

9  76 

Walking,2  10h  31m  a.  m  

9     30 

1848 

2125 

.87 

33.4 

139  6 

148 

8  90 

Walking,2  llh  15m  a.  m  

8     12 

1796 

2279 

.79 

35.1 

142  9 

152 

8  79 

Carbohydrate,  Ilh40ma.  m.: 
Walking,2  12h  45ra  p.  m    . 

8     36 

2058 

2147 

.96 

35.5 

143  0 

145 

7  82 

May  10. 

Without  food: 
Standing,  8h  34m  a.  m  

11       5 

215 

246 

.87 

74 

18.4 

Walking,3  9h  44m  a.  m  . 

8     22 

2017 

2232 

.90 

32.8 

145  5 

153 

5  37 

Walking,3  10h  47m  a.  m  

8     14 

2101 

2384 

.88 

38.6 

146.8 

157 

6  59 

Walking,3  llh  33ra  a.  m  

9       2 

2006 

2234 

.90 

37.1 

146.6 

154 

8  02 

Protein,  12h  15m  p.  m.: 
Walking,3  12h  43m  p.  m  .  . 

8     14 

2017 

2244 

.90 

36.0 

146  5 

157 

7  83 

Walking,3  lh  20m  p.  m  . 

8     15 

2020 

2249 

.90 

40.1 

146  9 

156 

8  28 

May  11. 

Without  food  : 
Standing,  8h  37m  a.  m  

12     47 

259 

278 

.93 

85 

20.9 

Standing,     swinging     arms,4 
9h  16m  a.  m  

10     52 

455 

516 

.88 

20.9 

Running,5  10h  Olm  a.  m 

8     19 

1850 

1886 

.98 

35.7 

146  6 

184 

13  45 

Running,5  10h  49m  a.  m 

8     55 

1755 

1938 

.91 

36  8 

146  7 

183 

13  89 

Running,5  llh  35m  a.  m  

8     24 

1793 

1964 

.91 

37.9 

148.3 

181 

14  80 

Carbohydrate,  12  noon: 
Running,5  12h  44m  p.  m  

8     23 

1795 

1910 

.94 

36.6 

148.7 

181 

13  95 

JTotal  distance  before  lunch,  8,126  meters;  after  lunch,  9,193  meters.  During  about  40 
minutes  of  the  intervals  between  periods  in  the  afternoon,  subject  was  not  walking  but  sitting. 

2Total  distance  before  lunch,  5,571  meters;  after  lunch,  1,543  meters.  Subject  perspired  very 
much  with  this  rate  of  walking  and  worked  with  arms  and  hands  much  more  than  at  the  other 
speeds.  For  about  1  hour  and  40  minutes  of  the  intervals  between  periods  in  the  morning  he  was 
not  walking. 

'Total  distance  before  lunch,  6,307  meters;  after  lunch,  3,468  meters.  During  about  1  hour  and 
20  minutes  of  the  intervals  between  periods  in  the  morning  and  about  25  minutes  in  the  afternoon, 
subject  was  sitting  or  walking  a  little  in  the  room. 

4The  subject  swung  his  arms  as  vigorously  as  in  the  fastest  walking. 

6Total  distance  before  lunch,  5,595  meters;  after  lunch,  1,729  meters.  In  running,  the  subject 
held  arms  up  in  front  of  body  and  the  only  movement  of  the  arms  was  that  of  the  swaying  body. 
During  about  1  hour  and  10  minutes  of  the  intervals  between  periods  in  the  morning  subject  was 
not  running. 


60 


ENERGY  TRANSFORMATIONS  DURING  HORIZONTAL  WALKING. 


TABLE  4 — Summary  of  results  in  experiments  with  subject  II,  during  period  from 

Mar.  16,  1914,  to  May  15,  1914— Concluded. 

[Values  per  minute.] 


Date,  condition,  and  time. 

Dura- 
tion. 

Car- 
bon 
diox- 
ide. 

Oxy- 
gen. 

Respiratory 
quotient. 

«  (0 

2« 

c3  f- 
*  i 

D  OG 

51 

££.8 

C3  •-    g 

•*  a  A 
££§ 

>   >.  '43 

<! 

Dis- 
tance. 

Steps. 

Rais- 
ing 
of 
body. 

May  12. 
Without  food: 
Standing,  9h  Olm  a.  m  

min.  sec. 
13     15 

c.c. 
226 

c.c. 
293 

0.77 

8? 

20  4 

meters. 

meters. 

Running,1  9h  45m  a.  m  .  .  .    . 

8     19 

1983 

2194 

.90 

34  9 

147  1 

191 

15  40 

Running,1  10h  44m  a.  m 

8     55 

1758 

1843 

.95 

37  8 

148  4 

183 

14  09 

Running  l  llh  38™  a.  m 

8     28 

1723 

2011 

.86 

39  2 

148  1 

182 

15  40 

Running  l  12h  26m  p.  m 

10     12 

1752 

2050 

85 

39  2 

148  1 

184 

14  64 

Running,1  lh  10m  p.  m  

10       6 

1734 

2080 

.83 

40  8 

148  7 

176 

15  37 

May  13. 

Without  food: 
Standing  10h  20m  a.  m    . 

12     27 

213 

257 

83 

79 

20  2 

Walking  2  llh  08m  a.  m 

13     30 

711 

851 

.84 

25  9 

82  6 

117 

3  76 

Walking,2  llh  47m  a.  m  

12     49 

734 

942 

.78 

27.9 

89  7 

120 

4  51 

Walking,2  12h  31m  p.  m  

12       1 

639 

826 

.77 

27  0 

80  1 

112 

3  29 

Walking2  lh  16m  p.  m   . 

13     10 

597 

789 

.76 

25  4 

76  6 

106 

2  84 

Walking,2  2h  18m  p.  m 

12     29 

757 

998 

74 

28  0 

93  3 

117 

5  25 

Walking,2  3h  06m  p.  m  

13       2 

753 

980 

.77 

28.5 

91.9 

118 

5.15 

May  14. 

Without  food: 
Standinf   8h  32m  a.  m 

13     53 

209 

257 

81 

80 

20  0 

Walking,3  9h  33m  a.  m  

7     41 

2046 

2281 

.90 

38.6 

146.4 

153 

7.59 

Running,3  10h  28m  a.  m  .  .    . 

7     58 

1997 

2272 

88 

37.5 

146.5 

168 

15.44 

Running,3  1  lh  20m  a.m.. 

8     51 

1646 

1867 

.88 

38  3 

147.2 

183 

12.47 

Running,3  llh  58m  a.  m 

9       2 

1625 

1900 

.86 

38  8 

147  6 

182 

12.34 

Running3  12h  35™  p.  m  .  . 

9     41 

1701 

1982 

86 

40  1 

148  1 

183 

11  09 

May  15. 

Without  food: 
Standing,     swinging     arms,4 
8h  52m  a  m 

12       8 

554 

643 

86 

22  3 

Running,5  9h  57m  a.  m 

9     40 

1735 

1967 

88 

38  6 

144.7 

182 

12.48 

Running  5  10h  37m  a.  m 

8     45 

1727 

1978 

87 

37  3 

148.4 

183 

12.14 

Running  5  llh  21m  a.  m 

8     20 

1647 

1947 

85 

38  9 

147  7 

184 

13.13 

xThe  total  distance  was  10,111  meters.  During  2  5  hours  of  the  intervals  between  periods 
subject  was  sitting  or  walking  a  little  in  the  room. 

2Total  distance,  21,724  meters,  the  walking  being  continuous. 

3Total  distance,  walking  and  running,  9,432  meters.  During  about  2  hours  and  11  minutes  of 
the  intervals  between  periods,  subject  was  sitting  or  standing. 

4Subject  swung  his  arms  as  vigorously  as  in  the  fastest  walking. 

5Total  distance,  5,711  meters.  During  about  58  minutes  of  the  intervals  between  periods, 
subject  was  not  running  or  walking. 


DISCUSSION    OF    RESULTS.  61 

DISCUSSION  OF  RESULTS. 
BASAL  VALUES. 

In  any  study  of  walking  in  a  horizontal  direction,  two  main  prob- 
lems present  themselves:  first,  the  variations  in  the  energy  requirement 
of  different  individuals  for  walking  varying  distances  at  varying 
velocities,  and  second,  the  actual  energy  requirement  for  transporting 
the  body-weight  or  a  superimposed  load  in  a  horizontal  direction,  i.  e., 
the  calorie  output  per  horizontal  kilogrammeter. 

As  has  already  been  noted,  the  mechanical  processes  incidental 
to  walking,  even  at  a  moderate  pace,  usually  involve  some  extraneous 
muscular  movements  apparently  not  directly  connected  with  the  motion 
of  forward  progression,  such  as  the  more  or  less  vigorous  swinging  of 
the  arms  and  a  not  inconsiderable  raising  of  the  body-weight  with  each 
step.  Since  these  extraneous  muscular  movements  do  not  necessarily 
have  an  effective  value  in  transporting  the  body-weight  or  the  super- 
imposed load  in  a  horizontal  direction,  the  problem  of  finding  the 
calorie  requirement  for  such  transportation  of  weight  becomes  an 
exceedingly  complicated  one. 

If  the  principle  of  the  deduction  of  basal  values  for  determining  the 
energy  required  to  move  1  kilogram  1  meter  in  a  horizontal  direction 
may  be  legitimately  employed,  and  this  has  been  the  method  adopted 
by  all  investigators,  it  becomes  an  important  point  as  to  what  should 
properly  be  considered  as  the  basal  maintenance  metabolism  in  experi- 
ments when  the  subject  is  walking  in  a  horizontal  direction.  As  will 
be  seen  by  reference  to  the  summary  of  previous  researches  given  in 
table  1,  investigators  have  varied  considerably  in  their  usage  in  this 
respect.  Certain  members  of  the  Zuntz  school  have  almost  invariably 
employed  the  resting  (lying)  metabolism  obtained  with  the  subject  in 
the  post-absorptive  condition.  The  values  found  with  the  subject 
sitting  or  stancling  quietly  have  also  been  used  as  a  basis  in  determining 
the  metabolism  due  to  the  muscular  activity  of  walking.  Still  another 
basal  value  which  may  be  considered  is  that  found  when  the  subject  is 
standing  and  moving  his  arms  in  a  manner  similar  to  that  employed  in 
more  or  less  rapid  walking.  Finally  it  may  even  be  possible  to  use 
the  metabolism  determined  during  slow  walking  for  a  basal  value  to 
be  deducted  from  the  metabolism  found  while  the  subject  was  walking 
at  a  rapid  rate.  The  validity  of  this  assumption  will  be  examined  later. 

Bearing  in  mind  the  experience  of  Benedict  and  Cathcart  in  attempt- 
ing to  secure  a  suitable  base-line  for  their  bicycle  rider,  we  considered 
it  desirable  to  study  our  subjects  in  varying  positions.  The  positions 
selected  have  been  outlined  in  a  preceding  section.  Since  we  were  to 
make  a  large  number  of  observations  upon  each  subject,  we  concluded 
that  the  period  of  adjustment  to  the  type  of  the  experiment  would  be  so 
short  that  a  moderately  constant  value  could  be  found  in  the  standing 


62  ENERGY  TRANSFORMATIONS  DURING  HORIZONTAL  WALKING. 

position,  and  hence  the  greater  part  of  our  control  data  was  obtained 
in  experiments  with  the  subject  standing  in  a  relaxed  position. 
Although  values  for  comparison  are  available  for  other  standing  posi- 
tions and  for  the  subject  sitting,  no  studies  were  made  by  us  with  the 
subject  in  complete  muscular  repose,  i.  e.,  lying  upon  a  couch,  in  the 
post-absorptive  condition. 

Obviously  it  is  first  necessary  to  examine  the  data  thus  secured  to 
determine  the  suitable  basal  values  to  be  deducted  from  the  total 
metabolism  while  walking,  such  a  critical  examination  being  of  funda- 
mental importance.  Since  the  total  metabolism  is  made  up  of  that  for 
maintenance,  i.  e.,  the  basal  value  plus  that  for  forward  progression, 
it  is  evident  that  the  larger  the  value  deducted  for  maintenance — as, 
for  instance,  the  value  obtained  with  the  subject  standing  as  com- 
pared with  the  subject  lying  on  a  couch — the  smaller  will  be  the  result 
obtained  for  the  energy  requirement  for  the  work  of  forward  pro- 
gression. 

BASAL  METABOLISM  OF  SUBJECT  I. 

As  a  result  of  a  consideration  of  the  experimental  experience  of 
others,  it  was  decided  that  in  the  preliminary  observations  in  this 
investigation,  which  were  made  with  subject  I  by  Dr.  Carl  Tigerstedt, 
the  basal  value  selected  should  be  that  necessary  for  maintenance 
while  the  subject  was  standing  quietly  without  support.  Accordingly, 
during  November  and  December  1913  many  observations  were  made 
of  the  subject  in  this  position.  Subsequently  it  appeared  that  more 
information  was  desirable  with  regard  to  the  normal  increment  in 
metabolism  due  to  a  change  from  the  lying  position  to  the  standing 
position,  but  as  a  study  of  this  phase  of  the  question  was  wholly 
incidental  to  the  main  problem  of  the  metabolism  during  forward 
progression,  the  experimental  routine  did  not  permit  such  observations. 
We  have,  however,  the  results  of  a  study  made  in  December  1914  by 
Mr.  H.  L.  Higgins,  of  the  Laboratory  staff,  upon  the  lying  and  standing 
metabolism  of  subject  I,  which  were  kindly  supplied  us  for  comparison 
with  our  values.  Unfortunately  the  data  thus  obtained  are  more  or 
less  fragmentary  and  must  therefore  be  considered  as  only  subsidiary 
to  the  results  of  the  larger  investigation. 

The  Thiry  valves  and  Tissot  spirometer  and  mouthpiece  were  used  in 
this  study,  both  the  resting  metabolism  and  the  standing  metabolism 
being  observed  with  the  subject  in  the  post-absorptive  condition.  We 
have  no  data  as  to  the  influence  of  food  upon  the  resting  metabolism 
of  this  subject.  The  results  obtained  by  Mr.  Higgins  are  recorded  in 
table  5.  These  values  are  typical  of  a  large  number  secured  by  this 
observer  in  another  research  with  subject  I,  who  shows  a  remarkably 
uniform  basal  resting  metabolism.  As  will  be  seen  from  the  table,  the 
heat  output  per  minute  of  this  individual  in  the  lying  position  was  on 
December  2  and  5,  1914,  1.23  and  1.22  calories  respectively. 


DISCUSSION    OF    RESULTS. 


63 


The  values  found  by  Dr.  Carl  Tigerstedt  for  subject  I  in  the  standing 
position,  which  was  the  only  position  used  by  Dr.  Tigerstedt  in  deter- 
mining the  basal  metabolism  of  this  subject,  are  given  in  table  6.  Since 
the  walking  experiments  were  made  in  the  morning  and  in  the  afternoon 
and  with  and  without  food,  the  basal  values  were  also  obtained  in  both 
the  post-absorptive  condition  and  after  the  taking  of  food.  The  appa- 
ratus used  for  determining  the  respiratory  exchange  was  the  same  as 
that  employed  for  the  walking  experiments. 

TABLE  5. — Metabolism  of  subject  I  in  the  lying  and  standing  positions  in  experiments  without 

food,  on  Dec.  2  and  Dec.  5,  1914. 

[Observations  made  by  Mr.  H.  L.  Higgins  with  Thiry  valves  and  Tissot  spirometer. 

Values  per  minute.] 


Date  and  time. 

Dura- 
tion. 

Carbon 
dioxide. 

Oxygen. 

Heat 
output 
(com- 
puted). 

Pulse- 
rate. 

Respira- 
tion-rate. 

Dec.  2. 
Lying,  8h  53m  a.  m  

mins. 
10 

c.c. 
210 

c.c. 
249 

cals. 

62 

22  0 

Standing,  9h  13m  a.  m  

8 

230 

297 

84 

Standing   9h  29m  a.  m  .    .    . 

8 

224 

287 

85 

25  7 

Lying    10h  15m  a.  m     . 

10 

208 

256 

61 

24  8 

Lying    10h  35m  a  m 

10 

196 

262 

61 

24   1 

Average,  Iving  

205 

256 

1.23 

61 

23  6 

Average,  standing  .  . 

227 

292 

1   39 

84 

25  7 

Dec.  5. 
Lying,  9h  02m  a.  m  

10 

219 

246 

62 

23  4 

Standing,  9h  27m  a.  m  

8 

220 

269 

95 

25  8 

Standing,  9h  44m  a.  m  

8 

217 

268 

90 

26  4 

Lying    10h  25m  a.  m 

9 

221 

249 

57 

24  8 

Average   lying    .  . 

220 

248 

1  22 

60 

24   1 

Average   standing 

219 

269 

1  29 

93 

95   i 

As  will  be  seen  from  table  6,  the  average  post-absorptive  values  are 
reasonably  constant  throughout  the  entire  period  from  November  28 
to  December  20.  A  striking  exception  is  shown  oh  December  5,  when 
the  average  carbon-dioxide  excretion  was  236  c.c.  per  minute  and  the 
oxygen  consumption  334  c.c.  per  minute.  The  protocols  for  this 
experiment  show  that  "there  was  no  sleep  the  night  before,  but  much 
alcohol."  The  pulse-rate  was  especially  high  on  this  particular  day. 
The  general  average  for  the  observations  without  food  shows  a  carbon- 
dioxide  excretion  of  223  c.c.  per  minute  and  an  oxygen  consumption  of 
280  c.c.  per  minute.  This  corresponds  to  a  heat  output  of  1.34  calories 
per  minute.  The  pulse-rate  of  this  man  was  extremely  high,  averaging 
94  beats  per  minute;  the  average  respiration  rate  was  21.2  per  minute. 

All  of  these  experiments  were  made  with  subject  I  standing  with 
muscles  relaxed.  The  general  uniformity  of  the  data  shows  that  for 
the  most  part  the  subject  must  have  assumed  a  standing  position  with 
a  relatively  constant  muscle  strain,  although  variations  are  found  in 


64 


ENERGY  TRANSFORMATIONS  DURING  HORIZONTAL  WALKING. 


the  experiments  without  food  from  1.28  to  1.57  calories  per  minute. 
Excluding  the  extraordinarily  high  value  of  December  5,  which  is  at 
least  in  part  explained  by  the  alcoholic  excesses  of  the  preceding  night, 
the  uniformity  in  the  average  values  is  for  the  most  part  striking.  It 
is  also  of  interest  to  note  that  the  average  value  obtained  for  all  of  the 
standing  experiments  without  food  during  December  1913,  i.  e.,  1.34 
calories,  is  the  same  as  that  of  the  average  of  two  standing  experiments 
made  by  Mr.  Higgins  in  December  1914.  (See  table  5.)  It  will  be 
seen,  therefore,  that  for  manj^  purposes  an  average  basal  value  may  be 
used  for  this  subject  with  propriety  and  that  it  may  be  assumed  that 
when  standing  quietly  and  in  the  post-absorptive  condition,  his  average 
heat  output  would  correspond  to  1.34  calories  per  minute. 

TABLE  6. — Metabolism  of  subject  I  in  the  standing  position. 
[Observations  made  by  Dr.  Carl  Tigerstedt.     Average  values  per  minute.] 


Date. 

Carbon 
dioxide. 

Oxygen. 

Heat- 
output 
(com- 
puted). 

Pulse- 
rate. 

Respira- 
tion-rate. 

1913. 
Without  food  : 
Nov.  28                                  .... 

c.c. 
222 

c.c. 

285 

cals. 
1.36 

92 

17.1 

29 

224 

282 

1  35 

93 

18.5 

Dec       1 

220 

279 

1  34 

92 

19.3 

2        

224 

286 

1.37 

89 

20.7 

3                

214 

272 

1.30 

92 

21.8 

4                     

214 

267 

1.28 

90 

22.6 

5 

236 

334 

1.57 

105 

23.2 

8 

206 

271 

1.29 

91 

21.2 

15 

222 

275 

1.32 

89 

22.2 

16 

223 

286 

1   37 

101 

22  2 

17      

223 

271 

1.31 

91 

21.3 

18                

229 

263 

1.29 

86 

21.3 

19 

239 

279 

1.36 

98 

23.0 

20 

226 

270 

1.31 

103 

22.9 

Average,  without  food  .... 

223 

280 

1.34 

94 

21.2 

After  breakfast: 
Nov.  26  

281 

332 

1.61 

Dec.     9  

248 

341 

1.61 

112 

22.9 

After  dinner: 
Nov.  26    . 

273 

335 

1.61 

84 

18.2 

Average,  with  food    . 

267 

336 

1.61 

98 

19.8 

When  the  superimposed  factor  in  a  metabolism  experiment  is  suf- 
ficiently great  to  increase  the  metabolism  several  hundred  per  cent,  as 
is  especially  the  case  in  muscular-work  experiments,  the  use  of  a  pre- 
viously established  average  basal  value  is  least  liable  to  objection. 
Although  with  this  particular  subject  we  may  assume  that  we  have  a 
fairly  well-established  basal  value,  as  a  matter  of  fact,  to  eliminate 
possible  wide  variations  we  rarely  used  this  average  figure  and  the 
absolutely  determined  basal  value  for  each  day,  which  was  usually 
available,  was  given  the  preference. 


DISCUSSION    OF    RESULTS.  65 

INFLUENCE  OF  FOOD  AND  BODY  POSITION. 

In  this  preliminary  study  of  subject  I,  we  have  two  main  factors  to  be 
considered,  namely,  the  influence  of  food  and  of  body  position. 

Influence  of  food. — We  have  only  three  experiments  in  which  obser- 
vations were  made  of  the  standing  metabolism  of  subject  I  after  the 
ingestion  of  food.  Singularly  enough,  the  average  on  each  of  these 
three  days  shows  that  the  heat  output  after  the  ingestion  of  food  when 
measured  with  the  subject  in  the  standing  position  was  the  same  in  all 
of  the  experiments,  i.  e.,  1.61  calories.  (See  table  6.)  As  we  have  no 
basal  value  without  food  which  was  determined  on  these  three  days,  we 
must  be  content  to  note  that  the  average  basal  value  of  1.34  calories  was 
increased  0.27  calorie  per  minute  as  the  result  of  the  ingestion  of  food, 
an  increment  of  approximately  20  per  cent.  It  is  thus  clear  that  prior 
to  the  actual  walking  tests  after  meals,  the  subject  has  a  noticeably 
larger  basal  metabolism  than  prior  to  the  walking  experiments  in  the 
morning  in  the  post-absorptive  condition.  The  intelligent  use  of  these 
basal  values  after  food  is  a  subject  of  subsequent  discussion. 

Influence  of  position. — In  his  experiments  with  subject  I  in  December 
1914,  Mr.  Higgins  also  obtained  data  regarding  the  metabolism  of  this 
subject  in  the  standing  position.  Any  comparison  of  these  values  with 
those  obtained  by  us  a  year  earlier  for  the  same  position  would  be  a 
violation  of  a  fundamental  principle  in  the  computation  of  metabo- 
lism experiments,  notwithstanding  the  facts  that  the  difference  in  the 
body  weight  is  but  2  kilograms  and  that  the  values  obtained  for  the 
metabolism  in  both  cases  were  extraordinarily  constant.  Neverthe- 
less, in  the  hope  of  throwing  some  light  on  the  probable  increment  in 
the  metabolism  to  be  expected  from  this  man,  when  standing,  we 
have  included  in  table  5  (page  63)  Mr.  Higgins's  results  of  December 
1914  for  the  standing  position. 

The  observations  on  December  2  show  an  average  heat  output  for  the 
standing  position  of  1.39  calories  per  minute,  but  three  days  later 
(December  5) ,  when  the  conditions  were  apparently  identical,  the  heat 
output  was  but  1.29  calories  per  minute.  Using  the  average  values  for 
the  resting  (lying)  metabolism  on  the  same  days,  we  note  an  increase  in 
the  heat  output  on  December  2  from  1 .23  calories  to  1 .39  calories  and 
on  December  5  from  1.22  calories  to  1.29  calories,  the  average  increase 
being  from  1.225  calories  to  1.34  calories.  This  is  equivalent  to  an 
average  increment  of  0.115  calorie,  or  approximately  9  per  cent,  due  to 
the  changing  of  the  position  from  lying  to  standing.  Since  the  average 
value  of  1.225  calories  for  the  metabolism  in  the  lying  position  is  true 
not  only  for  the  two  days  referred  to  but  also  for  an  extensive  series  of 
experiments  made  by  Mr.  Higgins  on  this  subject  in  1914,  and  since 
the  average  of  the  two  standing  experiments  made  by  the  same  observer 
is  identical  with  the  average  of  the  long  series  of  standing  experiments 
made  one  year  previous  by  Dr.  Tigerstedt,  we  may  properly  maintain 


66 


ENERGY  TRANSFORMATIONS  DURING  HORIZONTAL  WALKING. 


that  with  this  subject  a  change  in  the  body  position  from  lying  to 
standing  is  accompanied  by  an  increase  of  approximately  9  per  cent 
in  the  total  metabolism. 

BASAL  METABOLISM  OF  SUBJECT  II. 

With  the  beginning  of  the  prolonged  research  on  the  professional 
athlete  subject  II  (the  bicycle-riding  subject  M.  A.  M.  of  Benedict  and 
Cathcart),  we  planned  definitely  to  secure  much  more  extended  data 
as  to  the  metabolism  during  various  standing  positions,  to  supplement 
the  preliminary  data  obtained  with  subject  I  by  observations  made  on 
subject  II  after  the  ingestion  of  food,  and  to  determine  in  addition 
the  metabolism  of  the  subject  in  the  sitting  position.  These  studies 
were  wholly  incidental  to  the  main  problem  of  studying  the  motion 
of  forward  progression  and  were  made  primarily  with  a  view  to  illum- 
inating the  possible  selection  of  the  most  advantageous  and  the  most 
scientifically  sound  base-lines.  At  the  time  the  observations  were  made, 
we  were  not  certain  of  their  ultimate  use  in  the  final  computations,  so 
they  may  properly  be  considered  as  a  study  of  the  metabolism  in  the 
standing  and  sitting  positions,  with  and  without  food. 

METABOLISM  IN  THE  LYING  POSITION. 

The  observation  of  the  post-absorptive  metabolism  of  this  subject  in 
the  lying  position  was  confined  to  one  experiment  which  was  made 
through  the  kindness  of  Mr.  L.  E.  Emmes,  of  the  Laboratory  staff, 
but  a  large  number  of  basal  values  for  this  position  were  also  available 
as  a  result  of  the  previous  study  of  the  subject  by  Cathcart.  The 
results  obtained  in  the  experiment  made  by  Mr.  Emmes  and  an  average 
value  for  the  results  obtained  by  Cathcart  are  given  in  table  7. 

TABLE  7. — Metabolism  of  subject  II  in  the  lying  position  in  experiments  without  food. 
[Observations  made  by  Mr.  L.  E.  Emmes.     Values  per  minute.] 


Date  and  time. 

Carbon  dioxide. 

Oxygen. 

Heat- 
output 
(com- 
puted). 

Pulse- 
rate. 

Respira- 
tion-rate. 

Total. 

Per  kilo- 
gram. 

Total. 

Per  kilo- 
gram. 

Apr.  18,  1914  :L 
8h  24m  a.  m 

c.c. 
198 
186 
196 
193 

c.c. 

c.c. 
226 
229 
229 
232 

c.c. 

cals. 

57 
56 

58 
56 

15.5 
15.5 
16.5 
16.3 

8    54    a.  m  

9    17    a.  m  

9    48    a.  m  

Average 

193 
205 

2.86 
3.12 

229 

242 

3.39 
3.67 

1.11 

1.17 

57 
63 

15.9 
20.0 

Dec.  7,  1911,  to  Apr.  16,  19122 

lThe  duration  of  each  period  on  April  18  was  about  15  minutes  and  3  seconds. 
2Average  of  experiments  made  by  Benedict  and  Cathcart.     See  Carnegie  Inst.  Wash.  Pub.  187, 
1913,  p.  78. 


DISCUSSION    OF    RESULTS. 


67 


The  four  periods  of  the  respiration  experiment  made  on  April  18, 
1914,  by  Mr.  Emmes  show  an  excellent  agreement  which  is  character- 
istic of  this  subject.  Although  his  nude  body-weight  was  1.6  kilograms 
greater  than  at  the  time  of  the  study  of  Cathcart,  being  67.5  kilograms 
on  April  18,  1914,  and  averaging  65.9  kilograms  during  the  previous 
research,  the  heat  output  per  minute  was  but  1.11  calories  per  kilogram 
per  minute  as  compared  to  the  average  of  the  earlier  observations  of 
1.17  calories  per  kilogram  per  minute.  While  it  is  possible  that  direct 
averaging  in  this  instance  is  a  mathematically  unsound  procedure,  we 
may  state  that  the  resting  basal  heat  output  of  subject  II  in  the  post- 
absorptive  state  may  be  considered  to  be,  in  round  numbers,  1.14 
calories. 

METABOLISM  IN  THE  SITTING  POSITION. 

In  a  further  effort  to  secure  all  possible  data  for  establishing  various 
scientifically  sound  base-lines,  we  made  a  special  study  of  the  metabo- 
lism of  subject  II  while  he  sat  comfortably  in  a  chair.  Three  observa- 
tions were  made  with  the  subject  in  the  post-absorptive  condition, 
four  after  a  light  breakfast,  and  five  after  a  heavier  midday  meal. 
The  data  are  sufficiently  extended  to  permit  their  classification  accord- 
ing to  the  character  of  the  meal  and  such  a  classification  is  used  in 
presenting  the  results  of  the  study  of  the  sitting  metabolism  in  table  8. 

TABLE  8. — Metabolism  of  subject  II  in  the  sitting  position. 
[Values  per  minute.] 


Date. 

Carbon 
dioxide. 

Oxygen. 

Heat- 
output 
(com- 
puted) . 

Pulse- 
rate. 

Respira- 
tion-rate. 

1914 
Without  food  : 
Mar.  25 

c.c. 
192 

c.c. 
260 

cols. 
1.23 

59 

18.0 

27 

195 

234 

1.13 

58 

17.6 

Apr.     3  

219 

245 

1.20 

67 

19.4 

Average  

202 

246 

1.19 

61 

18.3 

After  light  meal: 
Mar.  16 

218 

281 

1.34 

18.7 

16 

203 

256 

1.23 

18  3 

18  

233 

286 

1.38 

19.2 

19   

242 

282 

1.37 

67 

18.7 

Average  .  . 

224 

276 

1.33 

18  7 

After  heavy  meal: 
Mar   16 

250 

304 

1.47 

19  9 

17    

213 

272 

1.30 

18.1 

18     

248 

297 

1.44 

19.3 

19 

259 

322 

1.55 

77 

21.0 

25 

272 

316 

1  54 

73 

19.6 

Average 

248 

302 

1  46 

19  6 

68 


ENERGY  TRANSFORMATIONS  DURING  HORIZONTAL  WALKING. 


With  subject  I  no  such  classification  could  properly  be  made  and, 
indeed,  the  observations  after  the  ingestion  of  food  were  but  few  in 
number. 

The  metabolism  with  and  without  food  are  further  compared  in 
table  9,  to  which  is  added  the  actual  increase  in  the  units  of  measure- 
ment commonly  employed  for  the  various  factors  and  the  percentage 
increase.  From  this  table  we  see  that  as  the  result  of  a  light  meal  the 
carbon  dioxide  was  increased  10.9  per  cent,  the  oxygen  consumption 
12.2  per  cent,  and  the  heat  output  11.8  per  cent.  After  the  heavy  meal, 
the  percentage  increase  was  essentially  the  same  for  all  three  factors, 
i.  e.,  22.8  per  cent.  This  percentage  increment  in  the  metabolism  of 
subject  II  after  a  heavy  meal  is  almost  identical  with  that  noted  for 
subject  I  in  the  few  experiments  made  with  him. 

TABLE  9. — Metabolism  of  subject  II  in  the  sitting  position  with  and  tvithout  food. 

[Average  values  per  minute.] 


Condition. 

Carbon 
dioxide. 

Oxygen. 

Heat  output 
(computed). 

Pulse-rate. 

Respira- 
tion-rate. 

Without  food  

c.c. 
202 

c.c. 
246 

cals. 
1.19 

61 

18  3 

After  light  meal 

224 

276 

1.33 

!67 

18  7 

Increase  with  food  .... 
After  heavy  meal  .    . 

r  22 

\   10.9  p.  ct. 

248 

\  30 
1   12.  2  p.  ct. 
302 

(       ^ 
\11.8    p.  ct. 

1  46 

(     6 
1     9  .  8  p.  ct, 

175 

19  6 

Increase  with  food  .... 

(48 
\  22.  8  p.  ct, 

/  56 

1  22  .  8  p.  ct. 

r    .27 

[22  .  7    p.  ct. 

(14 
\  23.  Op.  ct. 

JThe  pulse-rate  was  obtained  in  only  one  of  the  four  periods  after  the  light  meal;  in  but  two  of 
the  five  periods  after  the  heavy  meal.      (See  table  8.) 

One  serious  objection  to  this  type  of  comparison,  however,  and  an 
objection  that  measurably  lessens  the  mathematical  value  of  the  incre- 
ment due  to  food,  is  the  fact  that  the  periods  after  the  midday  meal 
followed  the  walking  experiment  in  the  morning,  in  which  there  was 
considerable  muscular  activity.  As  a  matter  of  fact,  the  long-con- 
tinued walking  experiments,  in  which  the  walking  was  done  at  a  rapid 
rate  and  the  muscular  activity  was  very  severe,  were  not  carried  out 
until  later  in  the  spring  of  1914,  and  hence  in  all  probability  we  have 
not  here  to  consider  any  great  after-effect  of  the  muscular  activity  of 
the  morning  which  persisted  throughout  the  experiment  in  the  after- 
noon. Nevertheless,  it  is  quite  possible  that  at  least  a  part  of  the 
excess  metabolism  after  the  midday  or  "heavy"  meal  may  be  explained 
by  the  fact  that  the  subject  had  done  considerable  walking  in  the  fore- 
noon, while  no  such  muscular  activity  preceded  the  after-breakfast 
experiments. 

Of  special  significance  here  is  the  apparent  striking  relationship 
between  the  percentage  increment  in  the  total  metabolism  and  the 
percentage  increment  in  the  pulse-rate.  The  increase  in  the  heat- 


DISCUSSION    OF    RESULTS.  69 

output  after  a  light  meal  was  12  per  cent  and  that  in  the  pulse-rate 
10  per  cent,  while  after  a  heavy  meal  the  increase  in  the  heat  output 
was  22.7  per  cent  and  in  the  pulse-rate  23  per  cent.  This  Laboratory 
has  frequently  emphasized  in  its  publications  the  important  relation- 
ship between  the  pulse-rate  and  the  metabolism,  the  statements  usually 
implying  that  an  increase  in  the  pulse-rate  is  simultaneous  with  an 
increase  in  the  metabolism.  Recently,  in  publishing  the  results  of 
observations  on  a  man  who  fasted  31  days,1  it  was  pointed  out  in  com- 
paring the  metabolism  of  the  subject  asleep  and  awake  that  the  incre- 
ment in  the  pulse-rate  for  the  subject  awake  was  directly  proportional 
to  the  percentage  increase  in  the  metabolism.  While  it  is  by  no  means 
maintained  that  the  increment  in  the  pulse-rate  for  subject  II  was  in 
direct  proportion  to  the  increase  in  the  metabolism,  it  is  of  special 
interest  to  point  out  this  second  striking  percentage  relationship 
between  the  pulse  increment  and  the  metabolism  increment,  for  such  a 
quantitative  relationship,  if  not  partaking  of  the  nature  of  a  physio- 
logical law,  at  least  serves  to  emphasize  in  a  striking  manner  the  im- 
portance of  records  of  the  pulse-rate  in  all  metabolism  experiments. 

Occasion  is  here  taken  to  note  that  a  common  error  is  found  with 
writers  who  misapply  the  measurements  of  the  pulse-rate  in  attempting 
to  compare  the  pulse-rate  of  one  person  with  that  of  another.  Our 
experience  in  this  Laboratory  points  to  no  relationship  between  the  pulse- 
rate  of  two  individuals,  although  the  records  for  a  single  individual  are 
frequently  surprisingly  proportional  to  the  metabolism. 

COMPARISON  OF  THE  METABOLISM  IN  THE  LYING  AND  SITTING  POSITIONS. 

Although  observations  were  made  of  the  metabolism  of  subject  II 
in  the  post-absorptive  condition  for  both  the  sitting  and  the  lying  posi- 
tions, unfortunately  the  studies  of  the  metabolism  in  the  lying  position 
were  made  some  three  weeks  later  than  those  of  the  metabolism  in  the 
sitting  position,  hence  a  comparison  of  the  results  is  not  free  from  criti- 
cism. If,  however,  we  compare  the  average  values  found  for  the 
metabolism  in  the  lying  position  on  April  18,  1914  (see  table  7),  with 
the  average  of  the  values  for  the  metabolism  in  the  sitting  position 
obtained  on  March  25  and  27  and  April  3,  1914  (see  table  8),  we  find  a 
percentage  increase  in  the  carbon-dioxide  output  with  the  subject  sit- 
ting over  that  with  the  subject  in  the  lying  position  of  4.7  per  cent,  in 
the  oxygen  consumption  of  7.4  per  cent,  in  the  heat  production  of  7.2 
per  cent,  and  in  the  pulse-rate  of  7.0  per  cent.  According  to  these  incom- 
plete data,  therefore,  the  increase  in  the  metabolism  with  the  subject 
sitting  over  that  with  the  subject  in  the  lying  position  is  approximately 
7  per  cent.2  We  may  also  note  here  the  agreement  between  the  incre- 
ment in  the  pulse-rate  and  that  of  the  total  metabolism. 

Benedict,  Carnegie  last.  Wash.  Pub.  203,  1915,  p.  351. 

2See,  also,  Emmes  and  Riche,  Am.  Journ.  Physiol.,  1911,  27,  p.  406. 


70  ENERGY  TRANSFORMATIONS  DURING  HORIZONTAL  WALKING. 

METABOLISM  IN  VARIOUS  STANDING  POSITIONS. 

With  subject  I  no  attempt  was  made  to  vary  the  character  of  the 
standing  experiment,  but  with  subject  II  numerous  observations  were 
made  both  with  and  without  food  and  with  the  subject  standing  in 
various  positions.  A  large  majority  of  the  experiments,  i.  e.,  53  experi- 
ments, were  made  when  the  subject  was  standing  quietly  in  a  relaxed 
position.  Eight  experiments  were  made  with  the  subject  standing  in  a 
relaxed  position,  but  resting  the  hands  upon  a  staff.  Eight  experiments 
were  made  with  the  subject  leaning  against  a  support,  and  finally  10 
experiments  were  carried  out  with  the  man  standing  in  the  position 
of  "attention."  Since  later  we  noted  that  there  was  considerable 
extraneous  muscular  activity  incidental  to  walking  at  a  rapid  rate, 
which  consisted  for  the  most  part  of  vigorous  arm-motion,  two  experi- 
ments were  made  on  May  11  and  15  in  which  the  post-absorptive 
metabolism  was  measured  with  the  subject  standing  still  but  moving 
his  arms  vigorously,  simulating  as  nearly  as  possible  the  movement  of 
the  arms  in  rapid  walking. 

The  results  of  the  standing  experiments  with  the  subject  in  the  post- 
absorptive  condition  will  first  be  considered  and  are  given  in  table  10. 
Since  our  interest  is  chiefly  with  the  total  heat-output,  we  may  properly 
compare  the  metabolism  in  the  various  standing  positions  upon  this 
basis. 

When  the  subject  stood  in  a  relaxed  position,  his  heat  output  varied 
from  the  very  low  value  of  1.12  calories  to  1.40  calories  per  minute,  the 
average  value  being  1.25  calories  per  minute.  When  he  stood  in  a 
relaxed  position,  but  with  his  hands  resting  upon  a  staff,  the  average 
heat-output  was  essentially  the  same  as  in  the  first  position,  namely, 
1.26  calories  per  minute;  but  when  he  leaned  against  a  support  there 
was  a  perceptible  diminution  in  the  heat-output,  which  then  averaged 
but  1.18  calories  per  minute.  It  is,  however,  somewhat  irregular  to 
compare  an  average  value  for  the  relaxed  position  obtained  from  26 
experiments  with  the  average  values  for  other  positions  obtained  from 
only  3  experiments ;  the  slight  changes  in  the  metabolic  level  shown  by 
these  averages  are  therefore  probably  without  significance.  Essen- 
tially the  same  may  be  said  of  a  comparison  of  the  values  obtained  for 
the  relaxed  position  with  those  obtained  for  the  position  of  attention 
when  the  heat  output  increased  only  to  1.30  calories.  Our  general 
impression  was  that  this  subject  did  not  maintain,  to  any  great  degree, 
a  rigid  position  of  "  attention."  From  the  foregoing  comparison  it  is 
clear  that  the  experimental  evidence  does  not  warrant  the  deduction 
that  there  is  a  measurable  difference  in  the  metabolism  for  any  of  the 
various  standing  positions  in  which  the  metabolism  was  studied,  such 
as  standing  in  a  relaxed  position,  with  the  hands  on  a  staff,  with  the 
subject  leaning  against  a  support,  or  standing  in  the  position  of 
"attention." 


DISCUSSION    OF    RESULTS. 


71 


When  instead  of  the  muscular  repose  of  these  standing  positions  the 
subject  swings  his  arms  vigorously,  as  would  be  done  in  rapid  walking, 
we  note  a  great  increase  in  the  metabolism.  Unfortunately  there  is 
not  a  particularly  satisfactory  agreement  in  the  values  obtained  for  the 
two  experiments  under  these  conditions,  for  on  May  11  the  heat-output 
per  minute  was  2.53  calories,  or  essentially  100  per  cent  greater  than 
when  the  subject  stood  quietly,  while  on  May  15  the  metabolism  was 
3.13  calories  or  approximately  150  per  cent  greater  than  the  metab- 
olism of  the  subject  when  standing  at  rest. 

TABLE  10. — Metabolism  of  subject  II  standing  in  different  positions  in  experiments  without  food. 

[Values  per  minute.] 


Date. 

^i 
o 

•3 
gl 

X! 
u 

a 

U 

Oxygen. 

Heat-output 
(computed). 

<D 

•*3 
? 

<a 
a> 

3 

PL, 

Date. 

X 

_o 

•3 

-i  ® 

%3 

42 
*-« 
e3 

O 

Oxygen. 

Heat-output 
(computed). 

6 

+3 

a 

i 

<D 
to 

(5 

1914 
Standing,  relaxed: 
Mar  20 

c.c. 

218 

c.c. 
275 

cals. 
1  32 

71 

1914 
Standing,  staff: 
Mar.  24  

c.c. 
217 

c.c. 
250 

cals. 
1  22 

82 

31 

209 

260 

1   25 

71 

26.  .     . 

223 

253 

1   24 

80 

Apr      1 

213 

266 

1.28 

75 

Apr.     3  

224 

278 

1.34 

77 

f\ 

218 

94fi 

1    ?1 

74 

[214 

257 

1  24 

8°, 

Average  

221 

260 

1.26 

80 

7  

< 

on 

8 

[iys 
204 

2oo 
265 

.  14 

1.26 

yu 

9  

202 

228 

1.12 

82 

Standing,  support: 

10 

212 

257 

1   24 

78 

Mar.  24  

196 

256 

1  22 

79 

14 

223 

245 

1  21 

94 

26  

201 

238 

1.15 

79 

15 

214 

252 

1.23 

74 

31  

214 

239 

1.17 

77 

16 

958 

1     9fU 

90 

17 

214 

265 

1.28 

85 

Average  

204 

244 

1.18 

78 

91 

onr; 

9.4.9 

I      1C 

78 

22  

207 

251 

1.21 

84 

23    .     . 

208 

252 

1.22 

74 

Standing,  attention: 

24 

198 

1.15 

8?, 

Mar.  25  

206 

265 

1.27 

79, 

25 

192 

264 

1   24 

79 

27  

219 

272 

1.31 

71 

27 

217 

245 

1.20 

77 

31  

233 

272 

1.33 

75 

00 

991 

974 

1    V> 

82 

May     5 

229 

277 

1  34 

83 

Average  

219 

270 

1.30 

73 

i  n 

91  <% 

94fi 

1    90 

74. 

11 

259 

278 

1.38 

85 

12 

226 

293 

1.40 

8?, 

Standing,      swinging 

13  

213 

257 

1.24 

79 

arms  :2 

14 

209 

257 

1.24 

80 

May  11  

455 

516 

2.53 

15 

554 

643 

3  13 

Average  

214 

258 

1.25 

80 

lfrhe  average  respiratory  quotient  of  0.83  is  assumed  in  computing  heat-output  on  this  day. 
2The  subject  stood  swinging  his  hands  and  arms  as  vigorously  as  in  the  most  rapid  walking. 

In  the  subsequent  computations  several  basal  values  may  be  em- 
ployed. The  most  obvious  are  those  obtained  with  the  subject  in  the 
lying  position  and,  as  has  already  been  seen,  we  have  the  results  of  two 
series  of  measurements  which  were  made  with  an  interval  of  approxi- 
mately two  years.  We  have  also  used  the  value  obtained  with  the 
subject  in  the  standing  position.  With  subject  I,  three  periods  with 


72 


ENERGY  TRANSFORMATIONS  DURING  HORIZONTAL  WALKING. 


the  subject  standing  almost  invariably  preceded  the  periods  when  the 
subject  walked  on  the  treadmill,  but  with  subject  II  only  one  standing 
period  preceded  the  walking  periods.  With  subject  II,  therefore, 
instead  of  using  the  daily  values  found  for  the  standing  position,  we  have 
employed  the  average  value  found  for  the  whole  series  of  experiments, 
i.  e.,  1.25  calories  per  minute.  Special  use  will  be  made  of  the  values 
found  while  the  subject  stood  swinging  his  arms. 

INFLUENCE  OF  FOOD  UPON  METABOLISM  IN  THE  STANDING  POSITION. 

The  experiments  in  which  the  subject  was  studied  after  the  ingestion 
of  food  varied  not  only  in  the  character  of  the  food  taken,  but  in  the 
amount  of  food,  the  influence  of  both  a  light  and  a  heavy  meal  being 
observed. 

INFLUENCE  OF  A  LIGHT  MEAL. 

As  we  have  seen  from  the  data  given  in  the  historical  summary  table 
(table  1),  it  has  been  the  custom  of  several  investigators  to  make 
walking  experiments  after  the  subject  had  taken  a  moderate  amount  of 
food.  We  felt  it  important,  therefore,  to  make  observations  under 
these  conditions,  since  they  would  give  information  as  to  how  long  the 

TABLE  1 1 . — Metabolism  of  subject  II  standing  in  different  positions  after  a  light  meal. 

[Values  per  minute.] 


Date. 

X 

o 

-3 

I1 

d 
O 

Oxygen. 

Heat-output 
(computed). 

o5 

-»j 

! 

o> 
to 

1 

Date. 

« 

o 

•3 
_  6 

%3 

JZ 

r-i 

o3 

0 

Oxygen. 

Heat-output 
(computed). 

0) 

-*j 

? 

j 

fS 

1914 
Standing,  relaxed: 

Mar.  16  

c.c. 

(217 

c.c. 
274 

cats. 
1.31 

1914 
Standing,  support: 

Mar.  28 

c.c. 

f279 

c.c. 
304 

cals. 
1.50 

87 

18    ...    . 

[223 
224 

286 
293 

1.37 
1  42 

Apr.     2 

\246 
273 

276 
306 

1.36 
1  50 

81 
89 

19 

231 

295 

1  41 

•7*. 

21  

271 

338 

1.62 

98 

Average  

266 

295 

1  45 

86 

Anr       2 

21S 

281 

1    38 

8fi 

Average  

240 

295 

1  42 

Mar.  21  

249 

288 

1  41 

91 

Qn 

Ofil 

971 

1    '^ 

7fi 

Apr.     2    . 

248 

268 

1   33 

78 

Mar.  23    

282 

333 

1   62 

74 

Average  .  . 

253 

276 

1  37 

82 

*?0 

2fi1 

9QA 

1    4^ 

71 

Average  .  . 

272 

315 

1  54 

73 

periods 

253 

294 

1  43 

82 

ingestion  of  food  influences  metabolism  when  accompanied  by  muscular 
activity.  With  subject  II  the  first  meal  of  the  day  was  usually  a  mod- 
erately light  meal;  accordingly  on  certain  days  he  was  permitted  to 
eat  breakfast  before  coming  to  the  Laboratory  for  the  experiments. 

The  results  of  the  standing  experiments  after  the  morning  meal  are 
given  in  table  11.     When  the  subject  was  standing  in  a  relaxed  posi- 


DISCUSSION    OF    RESULTS.  73 

tion,  the  heat  output  averaged  1.42  calories  per  minute,  this  being  an 
average  value  for  6  experiments.  But  two  experiments  were  made  with 
the  subject  standing  with  his  hands  resting  on  a  staff,  the  average 
results  being  1.54  calories,  or  somewhat  higher  than  the  average  for 
the  previous  position.  When  standing  in  a  relaxed  position  but 
leaning  against  a  support,  the  subject  had  an  average  heat-output  for 
three  experiments  of  1 .45  calories  per  minute,  while  the  same  number  of 
experiments  with  the  subject  in  the  position  of  "attention"  gave 
an  average  heat-output  of  1.37  calories.  Obviously  variations  in  the 
kinds  and  amounts  of  food  must  to  a  certain  extent  affect  not  only  the 
individual  values  for  the  different  days,  but  also  the  average  values  for 
the  several  groups ;  nevertheless  the  general  statement  made  in  consid- 
ering the  standing  experiments  with  the  subject  in  the  post-absorptive 
condition,  namely,  that  the  metabolism  was  essentially  the  same  for  all 
of  the  four  standing  positions  in  which  the  metabolism  was  studied,  also 
holds  true  here. 

Averaging  all  of  the  values  obtained  in  the  standing  experiments 
after  the  ingestion  of  a  light  meal,  we  find  that  the  carbon  dioxide  per 
minute  was  253  c.c.,  the  oxygen  consumption  294  c.c.,  and  the  heat- 
output  1.43  calories  per  minute.  With  the  exception  of  the  walking 
experiment  on  April  29,  when  a  heavy  carbohydrate  breakfast  was 
given  as  a  control,  the  average  value  of  1.43  calories  has  been  used  as 
a  basal  value  in  calculating  the  increase  in  the  heat-output  during 
walking  for  all  experiments  after  breakfast.  For  the  walking  experi- 
ment of  April  29,  the  average  basal  value  used  for  the  computation  of 
the  increment  due  to  walking  was  that  obtained  from  the  standing 
experiments  of  April  25  and  27  after  a  carbohydrate  lunch  had  been 
taken  (see  table  12),  this  being  the  most  logical  value  available  for  the 
purpose. 

INFLUENCE  OF  A  HEAVY  MEAL. 

At  noon  subject  II  usually  took  a  heavy  meal  and  frequently  returned 
to  the  Laboratory  for  a  walking  experiment  in  the  afternoon.  During 
April  1914  the  character  of  the  noon  meal  was  controlled  on  several 
days.  On  5  days  he  was  given  a  meal  of  which  the  constituents  were 
excessively  high  in  protein;  on  6  days  the  meal  was  particularly  rich 
in  carbohydrates;  and  on  4  days  it  was  especially  rich  in  fat.  No 
attempt  was  made  to  control  the  amount  eaten,  although  the  statement 
was  made  that  the  " subject  ate  all  that  he  could." 

The  values  for  all  of  the  measurements  made  in  the  various  standing 
positions  after  this  noon  meal  are  given  in  table  12.  Comparing  first 
the  results  obtained  in  the  several  standing  positions  and  excluding 
the  days  with  special  diets,  we  find  that  the  heat-output  averages 
1.56  calories  when  the  subject  stood  in  a  relaxed  position,  1.65  calories 
when  he  stood  with  the  hands  resting  upon  a  staff,  1.47  calories  when 
he  leaned  upon  a  support,  and  1.52  calories  when  he  stood  in  a  position 


74 


ENERGY  TRANSFORMATIONS  DURING  HORIZONTAL  WALKING. 


of  " attention."  All  of  these  values  were  obtained  after  a  heavy  meal, 
with  the  diet  uncontrolled.  Recognizing  again  the  probable  influence 
of  the  preceding  meal  upon  the  individual  values,  we  see,  nevertheless, 
that  the  evidence  points  towards  a  practically  constant  metabolism 
independent  of  the  variations  in  the  standing  position  under  approxi- 
mately similar  conditions. 

TABLE  12.— Metabolism  of  subject  II  standing  in  different  positions  after  a  heavy  meal. 

[Values  per  minute.] 


Date  and  conditions 
of  experiments. 

M 

o 
•B 

a 

o 

Oxygen. 

Heat-output 
(computed). 

Pulse-rate. 

Date  and  conditions 
of  experiments. 

i 

-8 
Jl 

(H 

03 

0 

Oxygen. 

Heat-output 
(computed). 

Is 

J2 

1914 
Diet  uncontrolled: 
Standing,  relaxed: 
Mar.  16.  ... 

c.c. 
261 

c.c. 
319 

cals. 
1.54 

1914 
Diet  controlled: 
Standing,  relaxed  : 
Protein  — 

c.c. 

c.c. 

cals. 

19    . 

247 

303 

1   46 

86 

Apr      6 

241 

296 

1  43 

20 

274 

318 

1   55 

87 

7 

217 

289 

1  37 

21 

275 

355 

1   70 

96 

8 

230 

275 

1  33 

31  

277 

345 

1.66 

89 

23 

223 

254 

1   24 

81 

Apr.     1  

283 

319 

1.57 

86 

24 

219 

299 

1  41 

94 

Q 

244 

9QQ 

1  42 

81 

. 

OOfi 

000 

1     °.fi 

RS 

266 

°,99 

1     ^fi 

88 

... 

Standing,  staff: 

Carbohydrate  — 
Apr.     9.  ... 

245 

295 

1.43 

76 

Mar.  24 

289 

356 

1   71 

95 

10 

264 

301 

1  47 

86 

26 

274 

317 

1   55 

94 

14 

242 

295 

1   42 

90 

30  

318 

339 

1.69 

95 

15 

267 

277 

1  38 

83 

974 

°,94 

1       KO 

00 

Average  

294 

337 

1.65 

95 

27 

294 

326 

'l   61 

75 

Standing,  support: 

Average  

264 

303 

1.48 

82 

M-ir  94 

9<yi 

Qf)1 

i    4« 

99 

26. 

254 

289 

1   42 

93 

Fat  — 

28 

280 

314 

1  54 

85 

Apr    16 

239 

292 

1  41 

98 

i  7 

901 

9X1 

1    '^fi 

on 

Average  

263 

301 

1.47 

90 

21 

220 

301 

1  42 

91 

99 

997 

oqq 

1     49 

Q'3 

Mar.  21  

270 

295 

1.46 

94 

Average 

229 

293 

1  40 

95 

25  

292 

309 

1  54 

95 

27  

294 

298 

1   50 

95 

31  

265 

326 

1  57 

89 

Average  

280 

307 

1  52 

93 

Average  of  all 
periods  

274 

317 

1  55 

91 

During  the  observations  made  with  the  specially  controlled  diets,  the 
subject  stood  in  the  relaxed  position,  without  leaning  upon  a  staff  or 
against  a  support.  These  show  an  average  value  of  1.36  calories  for 
the  protein  diet,  1.48  calories  for  the  carbohydrate  diet,  and  1.40 
calories  for  the  fat  diet,  values  not  strikingly  unlike  those  found  on  the 
days  with  an  uncontrolled  diet.  We  may  then  with  propriety  average 


DISCUSSION    OF    RESULTS.  75 

the  results  obtained  for  the  four  groups  of  experiments  in  the  relaxed 
position,  i.  e.,  one  group  with  an  uncontrolled  diet  and  three  with  con- 
trolled diets,  and  state  that  after  the  midday  meal  our  subject  showed 
with  considerable  constancy  an  average  heat-output  of  1.45  calories 
per  minute. 

From  the  values  obtained  in  the  experiments  with  the  subject  stand- 
ing after  a  heavy  meal,  basal  values  were  computed  for  use  in  calculat- 
ing the  increment  due  to  walking  under  the  same  conditions  of  diet. 
Considering  first  the  results  obtained  with  an  uncontrolled  diet,  we 
averaged  the  values  determined  with  the  subject  standing  in  the  four 
positions,  i.  e.,  relaxed  and  unsupported,  relaxed  with  the  hands  resting 
upon  a  staff,  relaxed  and  leaning  against  a  support,  and  the  position  of 
"attention."  The  averages  found  were  274  c.c.  for  the  carbon-dioxide 
production,  317  c.c.  for  the  oxygen  consumption,  and  1.55  calories  for 
the  heat-output.  These  averages  were  used  for  basal  values  in  calculat- 
ing the  increase  in  the  metabolism  due  to  walking  for  all  of  the  experi- 
ments following  a  heavy  meal  with  an  uncontrolled  diet. 

The  average  value  found  on  the  days  with  a  diet  rich  in  protein, 
namely,  1.36  calories,  was  used  as  a  base-line  for  the  walking  experi- 
ments on  May  5  and  10,  as  the  standing  metabolism  was  not  determined 
on  those  days  after  the  protein  meal.  A  heavy  protein  meal  was  also 
taken  on  April  6,  7,  23,  and  24,  and  both  the  standing  metabolism  and 
the  metabolism  during  walking  were  determined.  The  standing  values 
for  the  individual  days  were  therefore  used  as  the  basal  values  for  com- 
puting the  increment  due  to  walking. 

The  average  value  for  the  carbohydrate  days  was  not  used  as  a  basal 
value  for  any  of  the  walking  experiments.  For  the  walking  experi- 
ments following  the  midday  meal  on  May  4,  6,  and  11,  an  average  of 
the  values  obtained  on  April  25  and  27,  i.  e.,  1.59  calories,  was  used  as 
a  base-line  in  the  computations,  as  the  diets  were  considered  to  be  more 
nearly  comparable  on  those  days.  As  has  previously  been  stated,  this 
basal  value  was  also  used  for  the  walking  experiment  following  the 
carbohydrate  breakfast  on  April  29.  For  the  experiments  on  April  9, 
10,  14,  15,  25,  and  27,  the  standing  metabolism  determined  for  that 
day  was  used  as  a  basal  value  for  the  respective  walking  experiments 
which  were  subsequently  made  on  that  day. 

On  days  when  the  diet  was  excessively  rich  in  fat,  the  standing 
metabolism  was  always  determined  before  the  walking  experiment  and 
the  values  found  were  used  as  base-lines  for  the  individual  days,  no  use 
being  made  of  the  average  value. 

CONCLUSIONS  REGARDING  INFLUENCE  OF  FOOD  UPON  THE  STANDING  METABOLISM. 

The  average  value  for  the  metabolism  in  the  standing  experiments 
without  food,  as  shown  in  table  10,  was  approximately  1.25  calories. 
After  the  light  morning  meal,  the  metabolism  was  1.43  calories  (see 


76  ENERGY  TRANSFORMATIONS  DURING  HORIZONTAL  WALKING. 

table  11)  and  after  the  heavy  noon  meal  1.45  calories.  There  was, 
therefore,  an  average  increment  of  approximately  0.2  calorie  or  16  per 
cent,  due  to  the  ingestion  of  the  food.  This  value  is  strikingly  in  agree- 
ment with  that  found  with  subject  I,  and  we  may  accordingly  state 
that  the  basal  metabolism  of  both  subjects  used  in  the  research  was 
increased  approximately  16  per  cent  by  the  ingestion  of  the  kinds  and 
amounts  of  food  consumed.  This  has  an  important  bearing  upon  the 
subsequent  calculations,  for  it  is  obviously  impossible  to  make  an  intelli- 
gent comparison  of  the  standing  values  obtained  with  individuals  in  the 
post-absorptive  condition  with  those  obtained  after  the  ingestion  of  food. 
Finally,  it  should  not  be  forgotten  that  a  part,  at  least,  of  the  incre- 
ment ascribed  here  to  the  ingestion  of  food,  particularly  after  the  noon 
meal,  may  be  due  to  a  slight  after-effect  of  the  muscular  activity  of 
walking  in  the  forenoon  experimental  periods.  On  the  other  hand, 
there  is  such  a  close  agreement  between  the  increment  in  the  metabolism 
after  the  light  meal,  which  was  invariably  taken  before  the  morning 
walking  periods,  and  the  increment  in  the  metabolism  after  the  midday 
meal,  that  it  would  imply  that  the  influence  of  the  morning  work  must 
have  been  extremely  small. 

METABOLISM  DURING  WALKING. 

The  preliminary  study  of  the  mechanics  of  position  incidental  to 
walking  was  obviously  only  for  the  purpose  of  throwing  light  upon  the 
various  mechanical  processes  involved  in  walking  and  the  metabolism 
essential  thereto.  The  primary  purpose  of  the  research  was  to  study 
the  actual  metabolism  during  the  motion  of  forward  progression. 

WALKING  EXPERIMENTS  WITH  SUBJECT  I. 

The  first  series  of  walking  experiments  was  made  by  Dr.  Tigerstedt 
with  subject  I  in  the  month  of  December  1913.  These  experiments 
were  all  carried  out  under  practically  the  same  conditions, — that  is, 
following  two  or  three  periods  when  the  subject  stood  in  a  relaxed 
position  during  which  time  the  basal  standing  metabolism  was  meas- 
ured. The  body-weight  of  the  subject  was  a  practically  constant 
factor,  as  it  did  not  alter  materially  throughout  the  month.  An 
attempt  was  made  to  maintain  an  essentially  constant  speed  of  the 
treadmill,  the  rate  averaging  not  far  from  76  meters  per  minute.  In  a 
few  of  the  experiments,  the  speed  was  lowered  to  about  65  meters  per 
minute,  but  in  no  instance  did  it  exceed  80  meters  per  minute.  Under 
these  conditions  we  may  consider  that  the  study  was  based  upon  a 
constant  speed  and  that  accordingly  all  values  are  strictly  comparable 
so  far  as  the  velocity  is  concerned.  The  walking  experiments  con- 
sisted of  two  or  three  and  occasionally  four  periods  per  day.  On  two 
days  walking  experiments  were  made  after  the  ingestion  of  food. 


DISCUSSION    OF    RESULTS.  77 

The  results  of  all  of  the  walking  experiments  with  subject  I  are  given 
in  abstract  in  table  13.  Inasmuch  as  the  experience  of  previous 
investigators  has  shown  that  the  variations  in  velocity  play  an  impor- 
tant role  in  the  total  energy  transformations,  we  have  recorded  here 
the  distance  per  minute  which  the  subject  walked  and  have  likewise 
computed  the  number  of  horizontal  kilogrammeters  by  multiplying 
the  distance  per  minute  by  the  body-weight.  From  the  kymograph 
records  it  was  possible  to  find  the  average  height  to  which  the  body  was 
raised  at  each  step  by  obtaining  the  average  height  of  each  recorded 
movement;  by  multiplying  this  average  height  by  the  number  of  steps, 
the  total  distance  that  the  body  was  moved  in  a  vertical  direction  could 
be  computed  with  reasonable  accuracy,  thus  giving  a  component 
for  the  analysis  of  the  various  factors  involved  in  walking.  The 
measurements  of  the  distance  that  the  body  was  elevated  per  minute 
are  recorded  in  column  d. 

The  total  heat-output  was  calculated  from  the  gaseous  exchange  not 
only  for  the  walking  periods  but  also  for  the  standing  periods  preceding 
the  walking;  these  values  are  recorded  in  column  e.  The  increase  due 
to  walking  was  obtained  by  difference  and  the  energy  required  to  move 
1  kilogram  1  meter  in  a  forward  direction,  i.  e.,  1  horizontal  kilo- 
grammeter,  is  recorded  in  gram-calories  in  column  g.  These  latter 
values  are  obviously  the  most  important  result  of  this  study. 

EXPERIMENTS  WITHOUT  FOOD. 

Considering  first  the  values  without  food,  it  will  be  seen  that  the 
heat-output  per  horizontal  kilogrammeter  varies  from  a  minimum  of 
0.446  gram-calorie  to  a  maximum  of  0.637  gram-calorie,  but  the  large 
majority  of  the  values  lie  close  to  the  average  value  of  0.507  gram- 
calorie.  A  general  inspection  of  these  results  shows  indications  of  a 
periodicity  or  rhythm  in  the  efficiency  of  this  subject  in  walking.  Thus, 
low  values  are  found  on  December  2  and  3,  which  are  followed  by  a 
group  of  high  values  continuing  until  December  22,  while  the  last 
three  experimental  days  that  the  subject  was  without  food  give  dis- 
tinctly lower  values  than  those  found  in  the  preceding  group.  There 
is  not,  however,  sufficient  regularity  in  this  rhythm  to  indicate  the 
effect  of  training  of  the  subject  or  in  the  use  of  the  treadmill.  To  be 
sure,  the  first  value,  that  of  November  29,  is  considerably  higher  than 
the  average  and  it  is  probably  fair  to  assume  that  the  high  value  of 
0.637  gram-calorie  found  on  December  15  was  more  or  less  accidental. 
On  the  other  hand,  we  see  no  reason  why  these  values  should  be  rejected 
and  the  figures  are  sufficiently  numerous  to  make  it  immaterial  whether 
or  not  these  or  any  other  particular  values  are  discarded  so  far  as  the 
influence  upon  the  general  average  is  concerned.  While  it  may  appear 
that  the  low  values  found  on  the  last  three  days  would  imply  the  effect 
of  training,  it  should  be  stated  at  the  outset  that  this  subject  was  a 


78 


ENERGY  TRANSFORMATIONS  DURING  HORIZONTAL  WALKING. 


TABLE  13. — Increase  in  heat-output  during  walking  in  experiments  with  subject  I. 
[Observations  made  by  Dr.  Carl  Tigerstedt.] 


Date  and  condi- 
tions of  experi- 
ments. 

(a) 

Body- 
weight 
with 
clothing. 

(&) 

Distance 
per 
minute. 

(c) 

Horizontal 
kilogram- 
meters. 
(0X6). 

(d) 

Raising 
of  body 
per 
minute.1 

Heat-output  (computed). 

(e) 
Total, 
per 
minute. 

Increase  over  standing. 

(/) 
Total. 

(a) 

Per  horizontal, 
kilogrammeter 

(/-c). 

1913 
Without  food. 
Nov.  29  : 
Standing2.  .  . 
Walking  .... 
Dec.  1: 

kilos. 
72.50 

meters. 
75.1 

76.0 
76.6 

76.2 

76.8 

76.5 
77.2 
77.5 

77.7 
77.7 
78.2 

75.7 
78.2 
79.0 

76.5 
78.6 
79.3 
79.7 

74.2 
75.6 
76.3 
76.3 

75.1 
76.7 
77.6 

75.0 
76.4 

78.1 
78.6 

meters. 
3.15 

3.26 
3.36 

3.20 
4.62 

3.57 
3.62 

3.68 

3.41 
3.68 
3.57 

3.57 
4.10 
4.10 

3.52 
3.78 
4.04 
4.15 

3.68 
3.83 
3.94 
3.99 

3.89 
3.99 
4.20 

3.73 
3.89 
4.15 
4.15 

cols. 
1.35 
4.41 

1.34 
4.10 
4.35 

1.37 
4.03 
4.10 

1.30 
4.07 
4.07 
4.19 

1.28 
4.19 
4.22 
4.14 

1.57 
4.43 

4.50 
4.68 

1.29 
4.02 
4.29 
4.27 
4.39 

1.32 

4.73 
4.33 

4.24 
4.20 

1.37 
4.30 
4.18 
3.91 

1.31 
3.99 
4.12 
4.20 
4.33 

caZs. 
3.06 

2.76 
3.01 

2.66 
2.73 

2.77 
2.77 
2.89 

2.91 
2.94 
2.86 

2.86 
2.93 
3.11 

2.73 
3.00 
2.98 
3.10 

3.41 
3.01 
2.92 
2.88 

2.93 
2.81 
2.54 

2.68 
2.81 
2.89 
3.02 

gm.-cal. 
0.562 

.500 
.541 

.477 
.486 

.497 
.493 
.512 

.513 

.518 
.501 

.521 
.517 
.543 

.493 
.528 
.520 
.538 

.637 
.552 
.531 
.524 

.541 
.509 
.454 

.491 
.505 

.508 
.528 

5,445 

Walking.  .  .  . 

Dec.  2: 

Standing 

72.60 

5,518 
5,561 

Walking  .... 
Dec.  3: 

73.12 

5,572 
5,616 

Walking  .... 

Dec.  4: 

Standing 

72.80 

5,569 
5,620 
5,642 

Walking.  .  .  . 

Dec.  5:3 
Standing 

73.01 

5,673 
5,673 
5,709 

Walking  .... 

Dec.  8: 
Standing 

72.51 

5,489 
5,670 
5,728 

Walking  .... 

Dec.  15: 

Standing 

72.33 

5,533 
5,685 
5,736 
5,765 

Walking  .... 

Dec.  16: 
Standing 

72.10 

5,350 
5,451 
5,501 
5,501 

Walking.  .  .  . 

Dec.  17: 

Standing 

72.05 

5,411 
5,526 
5,591 

Walking  .... 

72.82 

5,462 
5,563 
5,687 
5,724 

1Computed  from  the  average  elevation  of  the  body  per  step  as  obtained  from  the  kymograph 
records  and  the  steps  per  minute.     See  table  3  for  information  regarding  number  of  steps. 
2Usually  three  periods  with  the  subject  standing  preceded  the  walking  experiment. 
3"No  sleep  but  much  alcohol"  on  the  night  preceding  the  experiment  of  Dec.  5. 


DISCUSSION    OF    RESULTS. 


79 


TABLE  13. — Increase  in  heat  output  during  walking  in  experiments  with  subject  I — Continued. 

[Observations  made  by  Dr.  Carl  Tigerstedt.] 


Date  and  condi- 
tions of  experi- 
ments. 

(a) 

Body- 
weight 
with 
clothing. 

(b) 

Distance 
per 
minute. 

(c) 
Horizonta 

1     •! 

kilogram- 
meters. 
(0X6). 

(d) 

Raising 
of  body 
per 
minute.1 

Heat-output  (computed). 

(e) 
Total 
per 
minute. 

Increase  over  standing. 

(/) 
Total. 

(a) 

Per  horizontal 
kilogrammeter. 
C/-*-c). 

1913 
Without  food  — 
Continued. 
Dec.  18: 
Standing 

kilos. 

meters. 

75.3 
76.4 
76.7 
76.9 

76.1 

77.9 

78.3 
78.7 

76.2 

77.7 
78.6 
78.9 

76.3 
65.9 

77.4 
67.5 

75.9 
66.4 
76.9 
66.4 

78.4 
65.2 
78.6 
65.1 

meters. 

3.52 
3.68 
3.68 
3.73 

3  .  83 
3.99 

4.10 
4.20 

3.68 
4.04 
4.20 
4.25 

4.07 
3.17 
4.28 
3.41 

3.97 
3.07 
4.08 
3.30 

4.06 
3.02 
4.13 
3.02 

cals. 
1.29 
3.98 
4.09 
4.19 
4.22 

1.36 
4.29 
4.23 
4.26 
4.26 

1.31 
4.00 

4.28 
4.43 
4.48 

21.34 
4.21 
3.76 
4.23 
3.74 

21  .  34 
4.03 
3.55 
4.14 
3.66 

21.34 
4.07 
3.46 
4.07 
3.48 

cals. 

2.69 
2.80 
2.90 
2.93 

2.93 

2.87 
2.90 
2.90 

2.69 
2.97 
3.12 
3.17 

2.87 
2.42 
2.89 
2.40 

2.69 
2.21 
2.80 
2.32 

2.73 
2.12 
2.73 
2.14 

gm  .-cal. 

.478 
.490 
.506 
.510 

.519 
.497 
.499 
.497 

.475 
.514 
.534 
.541 

.510 

.498 
.506 

.482 

.481 
.451 
.494 

.474 

.477 
.446 
.476 
.451 

Walking.  .  .  . 

Dec.  19: 

Standing 

74.76 

5,629 
5,712 
5,734 
5,749 

Walking  .... 

Dec.  20: 

Standing 

74.17 

5,644 

5,778 
5,808 
5,837 

Walking  .... 

Dec.  22: 

Standing  .... 

74.31 

5,662 

5,774 
5,841 
5,863 

Walking.  .  .  . 

Dec.  23: 

Standing  .... 

73.77 

5,629 

4,861 
5,710 
4,979 

Walking  .... 

Dec.  27: 
Standing 

73.75 

5,598 
4,897 
5,671 
4,897 

Walking  .... 

Average.  .  . 

With  food. 
Nov.  26: 
Standing  .... 

72.96 

5,720 
4,757 
5,735 
4  ,  750 

73.10 

75.9 

3.78 

2.81 

.507 

75.3 

76.0 
78.3 
79.1 

3.57 

3.68 
3.89 
4.04 

1.61 
5.03 

1.61 
4.61 
4.39 
4.33 

3.42 

3.00 

2.78 
2.72 

!e20 

.546 
.491 
.475 

Walking  .... 
Dec.  9: 
Standing 

73.30 

5,519 

Walking  .... 

72  .  33 

5,497 
5,663 
5,721 

Computed  from  the  average  elevation  of  the  body  per  step  as  obtained  from  the  kymograph 
records  and  the  steps  per  minute.     See  table  3  for  information  regarding  number  of  steps. 
2Average  of  "standing"  values  obtained  in  experiments  without  food,  Nov.  29-Dec.  20. 


80  ENERGY  TRANSFORMATIONS  DURING  HORIZONTAL  WALKING. 

trained  athlete,  and  although  not  particularly  careful  of  himself,  when 
out  of  training,  he  was  nevertheless  in  reasonably  good  condition.  The 
fact  that  alcoholic  excesses  preceded  the  experiment  on  December  5 
shows,  of  itself,  that  the  subject  was  not  in  strict  training.  Indeed,  it 
was  impossible  for  us  to  control  him  outside  of  the  Laboratory. 

In  considering  the  values  without  food,  it  is  of  interest  to  note  the 
variations  in  the  standing  metabolism  in  their  relation  to  the  total 
increase  due  to  walking.  While  we  find  from  the  values  given  in  table 
6  that  the  average  heat-output  for  this  man  without  food  was  1.34 
calories  per  minute,  it  will  be  seen  here  that  the  variations  ranged  from 
1.28  calories  per  minute  on  December  4  to  1.57  calories  on  December  5. 
The  latter  date  was  the  day  following  the  alcoholic  excesses  and  it  may 
be  noted  that  this  increase  in  the  basal  metabolism  continued  through- 
out the  walking  periods,  as  the  three  highest  values  for  the  heat-output 
during  walking  were  found  on  this  day.  On  the  other  hand,  when  the 
high  basal  metabolism  is  deducted,  the  gram-calories  per  horizontal 
kilogrammeter  are  essentially  the  same  as  the  average  value. 

EXPERIMENTS  WITH  FOOD. 

On  the  two  days  in  which  experiments  were  made  with  subject  I 
after  the  ingestion  of  food,  the  standing  or  basal  metabolism  was  per- 
ceptibly higher  than  in  the  experiments  without  food.  The  total 
metabolism  during  walking  was  likewise  higher  in  all  of  the  experi- 
mental periods.  On  the  other  hand,  when  the  standing  or  basal  metab- 
olism is  deducted,  we  find  that  the  gram-calories  per  horizontal  kilo- 
grammeter were,  in  the  second  experiment,  quite  within  the  normal 
limits.  We  can  find  no  explanation  for  the  high  value  obtained  on  the 
first  day.  The  fact  that  the  high  basal  metabolism  due  to  food  per- 
sisted through  the  walking  period  is  of  special  interest,  as  it  shows  that 
the  muscular  activity  incidental  to  the  amount  and  rate  of  walking  in 
these  experiments  resulted  in  a  metabolism  which  was  superimposed 
upon  the  increased  metabolism  due  to  the  ingestion  of  food.  In 
general,  we  may  say  that  when  this  subject  walked  on  a  level  plane, 
the  energy  required  over  and  above  maintenance  to  move  1  kilogram 
over  a  distance  of  1  meter,  i.  e.,  1  horizontal  kilogrammeter,  was  in 
round  numbers  0.5  gram-calorie.  The  correlation  between  these 
results  and  those  obtained  with  subject  II  and  the  earlier  observations 
of  Benedict  and  Cathcart  may  properly  be  deferred  until  the  discussion 
of  the  experiments  with  subject  II. 

ENERGY  REQUIRED  FOR  THE  ELEVATION  OF  THE  BODY. 

In  walking  at  the  average  speed  of  75.9  meters  per  minute,  we  find, 
from  the  records  obtained  with  Dr.  Tigerstedt's  tracing  pointer  and 
by  counting  the  number  of  steps,  that  the  total  distance  per  minute  that 
the  subject  raised  his  body  in  a  vertical  direction  amounted,  on  the 
average,  to  3.78  meters  per  minute.  With  an  average  body-weight  of 


DISCUSSION    OF    RESULTS.  81 

73.1  kilograms,  this  would  correspond  to  a  work  equivalent  of  276.32 
kilogrammeters  or  0.65  large  calorie  per  minute.  Since  the  total 
increase  over  the  standing  metabolism  due  to  walking  averaged  2.81 
large  calories  per  minute,  it  is  seen  that  approximately  23  per  cent  of  the 
energy  required  for  the  work  of  forward  progression  was  employed  in 
raising  the  body  in  a  vertical  direction. 

These  experiments  give  no  data  regarding  the  amount  of  energy 
required  to  lower  the  body  after  being  raised  at  each  step.  Various 
assumptions  are  found  for  this  in  the  literature,  ranging  from  one- 
quarter  to  three-quarters  of  the  work  done  in  the  elevation  of  the  body, 
but  it  is  obviously  out  of  place  to  attempt  such  gross  interpretations 
of  the  results. 

In  conclusion,  then,  we  may  say  that  when  walking  in  a  horizontal 
direction  at  the  rate  of  76  meters  per  minute,  a  man  with  a  body-weight  of 
73  kilograms  produces  2.81  calories  per  minute  above  his  standing  basal 
metabolism,  of  which  0.65  calorie  or  23  per  cent  is  required  to  raise  the 
body  through  a  distance  of  approximately  4  meters  per  minute.  It  is 
thus  apparent  at  the  outset  that  a  very  important  factor  in  the  energy 
consumption  while  walking  in  a  horizontal  direction  may  be  the  type  of 
step  employed.  Unfortunately  our  observations  were  not  made  upon  a 
sufficient  number  of  persons  to  permit  a  complete  discussion  of  this  point. 

WALKING  EXPERIMENTS  WITH  SUBJECT  II. 

Subject  II,  who  was  a  professional  athlete,  though  not  in  continuous 
training,  had  exercised  excessively  in  bicycle  riding  and  had  been  the 
subject  in  Cathcart's  research  on  the  muscular  work  of  bicycle  riding. 
He  had  done  a  considerable  amount  of  walking  when  in  training,  but 
was  not  an  especially  well-trained  walker  and  certainly  could  not  be 
classed  as  a  professional  pedestrian.  On  the  other  hand,  he  performed 
all  of  the  tests  on  the  treadmill  at  even  the  highest  speeds  with  perfect 
ease  and  was  at  no  time  unduly  distressed. 

The  walking  experiments  with  this  subject  covered  a  period  of 
approximately  two  months,  i.  e.,  from  March  16  to  May  15,  1914. 
About  40  per  cent  of  the  experiments  were  made  without  food;  the 
remainder  of  the  experiments  followed  either  the  breakfast  or  the  mid- 
day meal,  the  diet  in  some  cases  being  controlled.  The  speed  of  rota- 
tion of  the  treadmill  varied  during  the  experiments  without  food  from 
56.0  meters  per  minute  to  146.8  meters  per  minute  and  in  a  few  experi- 
ments, with  the  subject  running,  it  increased  to  148.7  meters  per 
minute.  The  greater  part  of  the  experiments  were  made  with  a  speed 
between  56.0  and  93.3  meters  per  minute. 

In  computing  the  energy  per  horizontal  kilogrammeter,  we  have  the 
same  problem  to  consider  that  was  met  with  in  the  case  of  subject  I, 
namely,  the  selection  of  a  suitable  base-line.  As  the  tests  with  sub- 
ject II  were  more  varied  than  those  with  the  first  subject,  at  least 


82  ENERGY  TRANSFORMATIONS  DURING  HORIZONTAL  WALKING. 

three  base-lines  are  possible,  if  not  indeed  permissible.  These  are,  (1) 
the  average  resting  value  with  the  subject  standing  in  a  relaxed  posi- 
tion, without  support,  which  was  obtained  in  25  experimental  days  from 
March  20  to  May  14,  1914,  this  value  being  1.25  calories  per  minute; 
(2)  the  average  resting,  lying  value  of  51  experiments  in  1911-12  by 
Benedict  and  Cathcart,  this  being  1.17  calories  per  minute,  referred  to 
here  as  lying  value  I ;  and  (3)  the  resting  lying  basal  value  found  as  an 
average  of  four  experimental  periods  on  April  18,  1914,  namely,  1.11 
calories  per  minute,  referred  to  here  as  lying  value  II.  The  subject  in 
all  these  experiments  was  without  food. 

EXPERIMENTS  WITHOUT  FOOD. 

All  of  the  experiments  without  food  for  subject  II  have  been  brought 
together  in  table  14  and  are  arranged  chronologically,  the  only  dis- 
turbance in  this  order  being  for  the  experiment  on  May  13.  The  change 
in  position  for  the  experiment  of  May  13  was  made  to  bring  the  results 
more  nearly  in  the  order  of  the  increasing  velocity  of  walking.  The 
heat-output  per  horizontal  kilogrammeter  for  each  experiment  has  been 
computed  in  gram  calories  on  the  three  base-lines  previously  cited. 
The  results  using  a  basal  value  obtained  with  the  subject  standing  in  a 
relaxed  position  are  given  in  column  g;  those  with  an  average  basal 
value  obtained  by  Benedict  and  Cathcart  in  their  experiments  between 
December  7,  1911,  and  April  16,  1912  (lying  value  I),  are  given  in  col- 
umn h;  and  those  with  a  basal  value  obtained  from  the  special  experi- 
ment made  by  Mr.  L.  E.  Emmes  on  April  18,  1914  (lying  value  II), 
are  given  in  column  i.  Inasmuch  as  the  values  for  the  subject  standing 
relaxed  were  determined  specifically  for  this  research,  and  hence  in 
this  particular,  at  least,  are  more  appropriate  than  the  other  basal 
values  used,  we  shall  lay  great  stress  in  our  discussion  upon  the  incre- 
ments computed  from  this  base-line. 

A  general  inspection  of  the  values  in  column  g  shows  that  there  is 
a  tendency  towards  constancy  until  May  4,  at  which  time  the  rate  of 
walking  first  exceeded  100  meters  per  minute.  Considering  the 
experiments  when  the  speed  was  below  100  meters  per  minute,  we 
find  57  periods  with  speeds  ranging  from  56  to  93.3  meters  inclusive, 
the  average  speed  being  71.5  meters  per  minute  and  the  energy  require- 
ment for  one  horizontal  kilogrammeter  averaging  0.493  gram-calorie. 
An  inspection  of  the  table  shows  considerable  variation  above  and 
below  these  average  figures  in  isolated  cases  as,  for  instance,  on  April 
15,  when  in  one  period  the  heat  output  per  horizontal  kilogrammeter 
was  0.603  gram-calorie.  On  the  other  hand  the  value  of  0.555  gram- 
calorie  is  exceeded  but  six  times  and  the  individual  values  fall  below 
0.45  gram-calorie  likewise  only  six  times  out  of  the  57  periods.  It  is 
thus  clear  that  the  value  0.493  gram-calorie  is  distinctly  representative 
of  the  heat  requirements  for  moving  1  kilogram  1  meter  at  speeds 
ranging  from  56  to  93.3  meters  per  minute. 


DISCUSSION    OF    RESULTS. 


83 


TABLE  14. — Increase  in  heat-output  during  walking  in  experiments  with  subject  II  without  food. 


(a) 

(&) 

(c) 

(d) 

Heat-output  (computed). 

(\ 

/  f\ 

Increase  per  kilogram- 

Date  and  condi- 
tions of  experi- 
ments. 

Body- 
weight 
with 
cloth- 
ing. 

Dis- 
tance 
per 
minute. 

Horizon- 
tal kilo- 
gram- 
meters 
(0X6). 

Raising 
of  body 
per 
minute. 

e) 

Total 
per 
minute. 

(J) 

Increase 
above 
standing 
relaxed. 

meter  (gram-calorie.) 

to) 

Above 
standing 
relaxed 

(A) 

Above 
lying, 
I. 

W 

Above 
lying, 
II. 

1914 

Standing,    re- 

kilos. 

meters. 

meters. 

cals. 

cals. 

gm.-cal. 

gm.-cal. 

gm.-cal. 

laxed^ 

1.25 

1.17 

T  vine    II3 

1.11 

Walking  : 

Mar   20 

72  A 

/4\ 

2.61 

3.48 

2.23 

1VA  dl  *     £J\J  •     • 

24.  . 

72.0 

60.6 

4,363 

1.09 

3.74 

2.49 

0.571 

0.589 

0.603 

25.  . 

72.0 

60.6 

4,363 

1.77 

3.40 

2.15 

.493 

.511 

.525 

26.. 

72.0 

62.7 

4,514 

3.09 

3.42 

2.17 

.481 

.498 

.512 

27.. 

72.0 

57.6 

4,147 

2.09 

3.15 

1.90 

.458 

.477 

.492 

31.  . 

72.0 

57.2 

4,118 

2.01 

3.27 

2.02 

.491 

.510 

.525 

Apr.     1  .  . 

72.0 

59.3 

4,269 

2.22 

3.36 

2.11 

.494 

.513 

.527 

3.  . 

72.0 

76.2 

5,486 

2.38 

4.39 

3.14 

.572 

.587 

.598 

6.  . 

72.0 

57.8 

4,161 

1.78 

3.32 

2.07 

.498 

.517 

.531 

56.8 

4,090 

1.83 

3.25 

2.00 

.489 

.509 

.523 

56.0 

4,032 

1.91 

3.20 

1.95 

.484 

.503 

.518 

7.  . 

72.0 

59.6 

4,291 

1.98 

3.53 

2.28 

.531 

.550 

.564 

58.2 

4,190 

1.95 

3.19 

1.94 

.463 

.482 

.496 

8.. 

72.0 

76.1 

5,479 

3.01 

4.45 

3.20 

.584 

.599 

.610 

77.6       5,587 

2.81 

3.97 

2.72 

.487 

.501 

.512 

78.3       5,637 

2.85 

3.89 

2.64 

.468 

.483 

.493 

9.. 

72.0 

59.3        4,269 

1.92 

3.40 

2.15 

.504 

.522 

.536 

58.8       4,233 

2.05 

3.20 

1.95 

.461 

.480 

.494 

59.0  1     4,248 

1.98 

3.36 

2.11 

.497 

.516 

.530 

10.  . 

72.0 

77.3 

5,566 

2.77 

4.09 

2.84 

.510 

.525 

.535 

78.9 

5,681 

3.21 

4.09 

2.84 

.500 

.514 

.525 

14.  . 

71.9 

61.7 

4,436 

2.45 

3.43 

2.18 

.491 

.509 

.523 

62.1 

4,465 

2.34 

3.28 

2.03 

.455 

.473 

.486 

62.4 

4,487 

2.37 

3.26 

2.01 

.448 

.466 

.479 

15.  . 

71.5 

77.2 

5,520 

3.33 

4.58 

3.33 

.603 

.618 

.629 

79.4 

5,677 

3.52 

4.02 

2.77 

.488 

.502 

.513 

80.2 

5,734 

3.49 

4.04 

2.79 

.487 

.501 

.511 

16.  . 

71.5 

61.9 

4,426 

2.38 

3.16 

1.91 

.432 

.450 

.463 

62.3 

4,454 

2.37 

3.22 

1.97 

.442 

.460 

.474 

61.8 

4,419 

2.20 

3.21 

1.96 

.444 

.462 

.475 

17.  . 

71.5 

76.6 

5,477 

3.36 

4.36 

3.11 

.568 

.582 

.593 

78.1 

5,584 

3.45 

3.94 

2.69 

.482 

.496 

.507 

79.3 

5,670 

3.80 

4.14 

2.89 

.510 

.524 

.534 

21.  . 

70.5 

60.8 

4,287 

2.32 

3.13 

1.88 

.439 

.457 

.471 

22.. 

70.5 

76.8 

5,415 

3.33 

3.91 

2.66 

.491 

.506 

.517 

78.6 

5,542 

3.44 

3.97 

2.72 

.491 

.505 

.516 

79.2 

5,584 

3.42 

3.94 

2.69 

.482 

.496 

.507 

23.. 

70.5 

61.1 

4,308 

2.53 

3.27 

2.02 

.469 

.487 

.501 

(5) 

2.46 

3.17 

1.92 

Average  of  periods  "standing,  relaxed"  as  shown  in  table  10,  p.  71. 

2Average  of  results  with  this  subject  from  Dec.  7,  1911  to  Apr.  16,  1912.  (See  table  91,  Bene- 
dict and  Cathcart,  Carnegie  Inst.  Wash.  Pub.  187,  1913,  p.  78.) 

3Determined  during  four  periods  of  an  experiment  on  Apr.  18,  1914,  the  subject  being  without 
food. 

^Probably  at  the  rate  of  about  57  meters  per  minute. 

8Probably  at  the  rate  of  about  61  meters  per  minute. 


84 


ENERGY  TRANSFORMATIONS  DURING  HORIZONTAL  WALKING. 


TABLE  14 — Increase  in  heat-output  during  walking  in  experiments  with  subject  II 

without  food — Continued. 


(a) 

(b) 

(c) 

(d) 

Heat-output  (computed). 

/r\ 

Increase  per  kilogram- 

Date  and  condi- 
tions of  experi- 
ments. 

Body- 
weight 
with 
cloth- 
ing. 

Dis- 
tance 
per 
minute. 

Horizon- 
tal kilo- 
gram- 
meters 
(oXb). 

Raising 
of  body 
per 
minute. 

Total 
per 
minute. 

\J  ) 

Increase 
above 
standing 
relaxed. 

meter  (gram-calorie). 

(a) 

Above 

standing 
relaxed 

(h) 

Above 
lying, 

O) 

Above 
lying, 

(f+c). 

I. 

II. 

1914 

Walking  — 

Continued; 

kilos. 

meters. 

meters. 

cols. 

cals. 

gm.-cal. 

gm.-cal. 

gm.-cal. 

Apr.  24  .  . 

70.5 

76.4 

5,386 

3.60 

3.79 

2.54 

.472 

.486 

.498 

78.4 

5,527 

3.69 

3.94 

2.69 

.487 

.501 

.512 

25.  . 

69.9 

63.0 

4,404 

2.65 

3.21 

1.96 

.445 

.463 

.477 

64.0 

4,474 

2.69 

3.30 

2.05 

.458 

.476 

.489 

27.  . 

70.5 

73.5 

5,182 

3.25 

3.77 

2.52 

.486 

.502 

.513 

78.1 

5,506 

3.64 

3.97 

2.72 

.494 

.509 

.519 

28.  . 

70.5 

78.2 

5,513 

3.41 

4.04 

2.79 

.506 

.521 

.531 

79.8 

5,626 

3.60 

3.99 

2.74 

.487 

.501 

.512 

80.0 

5,640 

3.53 

4.06 

2.81 

.498 

.512 

.523 

80.7 

5,689 

3.80 

4.12 

2.87 

.504 

.519 

.529 

80.4 

5,668 

3.33 

4.40 

3.15 

.556 

.570 

.580 

80.2 

5,654 

3.67 

4.07 

2.82 

.499 

.513 

.524 

80.2 

5,654 

3.80 

4.14 

2.89 

.511 

.525 

.536 

80.4 

5,668 

3.46 

4.09 

2.84 

.501 

.515 

.526 

May  13.. 

71.5 

82.6 

5,906 

3.76 

4.13 

2.88 

.488 

.501 

.511 

89.7 

6,414 

4.51 

4.50 

3.25 

.507 

.519 

.529 

80.1 

5,727 

3.29 

3.94 

2.69 

.470 

.484 

.494 

76.6 

5,477 

2.84 

3.75 

2.50 

.456 

.471 

.482 

93.3 

6,671 

5.25 

4.72 

3.47 

.520 

.532 

.541 

91.9 

6,571 

5.15 

4.67 

3.42 

.520 

.533 

.542 

4.  . 

71.7 

114.5 

8,210 

6.43 

6.71 

5.46 

.665 

.675 

.682 

109.1 

7,823 

6.16 

5.79 

4.54 

.580 

.591 

.598 

102.0 

7,313 

5.88 

5.42 

4.17 

.570 

.581 

.589 

5.. 

71.7 

106.0 

7,601 

4.86 

5.54 

4.29 

.564 

.575 

.583 

102.6 

7,356 

5.82 

5.33 

4.08 

.  555 

.566 

.574 

103.6 

7,428 

6.06 

5.51 

4.26 

.574 

.584 

.592 

6.  . 

71.7 

140.7 

10,088 

9.76 

10.23 

8.98 

.890 

.898 

.904 

139.6 

10,009 

8.90 

10.38 

9.13 

.912 

.920 

.926 

142.9 

10,246 

8.79 

10.91 

9.66 

.943 

.951 

.956 

10.. 

72.3 

145.5 

10,519 

5.37 

10.99 

9.74 

.926 

.934 

.939 

146.8 

10,613 

5.81 

11.68 

10.43 

.983 

.990 

.996 

146.6 

10,598 

8.02 

11.00 

9.75 

.920 

.928 

.933 

Running: 

May  11.  . 

72.0 

146.6 

10,554 

13.45 

9.47 

8.22 

.779 

.786 

.792 

146.7 

10,562 

13.89 

9.57 

8.32 

.788 

.795 

.801 

148.3 

10,677 

14.80 

9.69 

8.44 

.790 

.798 

.804 

12.  . 

72.0 

147.1 

10,591 

15.40 

10.80 

9.55 

.902 

.909 

.915 

148.4 

10,684 

14.09 

9.19 

7.94 

.743 

.751 

.756 

148.1 

10,663 

15.40 

9.80 

8.55 

.802 

.809 

.815 

148.1 

10,663 

14.74 

9.97 

8.72 

.818 

.825 

.831 

148.7 

10,706 

15.37 

10.06 

8.81 

.823 

.830 

.836 

Walking  : 

May  14.  . 

71.5 

146.4 

10,467 

7.59 

11.23 

9.98 

.953 

.961 

.967 

Running  : 

May  14 

146.5 

10,474 

15.44 

11.13 

9.88 

.943 

.951 

.957 

147.2 

10,524 

12.47 

9.15 

7.90 

.751 

.758 

.764 

147.6 

10,553 

12.34 

9.26 

8.01 

.759 

.767 

.772 

148.1 

10,588 

11.09 

9.66 

8.41 

.794 

.802 

.808 

15.. 

71.0 

144.7 

10,273 

12.48 

9.64 

8.39 

.817 

.824 

.830 

148.4 

10,536 

12.14 

9.67 

8.42 

.799 

.807 

.812 

147.7 

10,486 

13.13 

9.47 

8.22 

.784 

.792 

.797 

DISCUSSION    OF    RESULTS.  85 

In  two  of  the  walking  experiments  without  food,  those  of  April  6 
and  7,  we  were  able  to  obtain  electrocardiograms  of  the  pulse  of  this 
sub j ect  and  the  results  are  recorded  in  table  4  (pp.  54  and  55) .  In  previous 
researches  a  striking  uniformity  has  been  found  in  the  changes  of  the 
metabolism  and  the  pulse-rate,  amounting  at  times  to  a  distinct 
percentage  relationship  between  them.  Such  a  uniformity  was  noted 
by  Benedict  and  Cathcart  in  their  study  of  a  bicycle  rider  when  the 
metabolism  and  pulse-rate  during  riding  were  compared  with  the 
values  obtained  in  the  lying  or  sitting  position.  In  this  research,  on 
the  contrary,  the  pulse-rate  in  the  experiments  of  April  6  and  7  showed 
a  distinct  lowering  when  the  subject  changed  from  the  standing  posi- 
tion to  walking,  particularly  in  the  experiment  on  April  7,  notwith- 
standing the  fact  that  the  total  metabolism  during  walking  increased 
from  100  to  200  per  cent  above  the  basal  metabolism  of  standing. 
This  lowering  of  the  pulse-rate  was  so  positive  that  it  is  difficult  to 
believe  that  any  error  was  made  in  the  measurements.  Furthermore, 
in  the  fourth  period  of  the  experiment  on  April  7,  we  find  that  the  pulse- 
rate  with  the  subject  standing  after  walking  increased  materially  over 
that  during  walking.  The  evidence  thus  implies  that  when  standing 
still  upon  the  treadmill,  this  subject  had  a  much  higher  pulse-rate  than 
when  he  was  walking  at  a  slow  speed.  These  records  are  entirely 
contrary  to  our  previous  experience  but  the  lowered  pulse-rate  during 
walking  has  been  confirmed  by  Professor  H.  Monmouth  Smith,  of  the 
Laboratory  staff,  in  similar  experiments  with  three  other  subjects,  thus 
establishing  the  fact.  Further  experimenting  is  now  in  progress  and 
the  results  will  be  incorporated  in  a  subsequent  report. 

INFLUENCE  OF  VELOCITY. 

On  all  days  subsequent  to  May  4,  with  the  single  exception  of  May 
13,  the  speed  of  walking  exceeded  100  meters  per  minute.  At  this 
higher  speed  there  was  a  distinctly  higher  energy  requirement  per 
horizontal  kilogrammeter.  Thus,  we  have  six  periods  when  the  rate 
of  walking  was  from  102  to  114.5  meters  per  minute  and  averaged  106.3 
meters  per  minute.  At  this  speed  the  average  heat-output  per  hori- 
zontal kilogrammeter  was  0.585  gram-calorie,  a  material  increase  over 
0.493  gram-calorie,  the  average  heat-output  for  the  lower  speed.  A 
further  grouping  of  the  experiments  is  permissible  when  the  speed 
ranged  from  139.6  to  148.7  meters  per  minute,  as  with  this  higher 
speed  a  considerable  increase  is  shown  in  the  heat  requirement  per  unit 
of  work.  Some  of  the  experiments  in  this  group  show  that  when  the 
subject  ran  instead  of  walked,  the  heat-output  per  horizontal  kilo- 
grammeter was  lowered,  although  the  rate  of  progression  was  prac- 
tically the  same;  accordingly  we  may  not  advantageously  draw  average 
values.  In  the  two  walking  experiments  on  May  6  and  10  the  speed 
averaged  143.7  meters  per  minute  and  the  heat  per  horizontal  kilo- 
grammeter 0.929  gram-calorie.  In  the  first  period  of  the  experiment 


86  ENERGY  TRANSFORMATIONS  DURING  HORIZONTAL  WALKING. 

of  May  14  the  subject  walked  at  the  rate  of  146.4  meters  per  minute, 
with  a  heat-output  of  0.953  gram-calorie  per  horizontal  kilogrammeter. 

In  the  four  following  periods  the  subject  ran,  although  the  speed 
per  minute  was  approximately  the  same  as  that  in  the  walking  period. 
Nevertheless,  the  average  heat-output  per  unit  of  work  was  materially 
less,  i.  e.,  0.812  gram-calorie. 

It  is  thus  apparent  that  the  velocity  had  a  very  considerable  influ- 
ence upon  the  heat  per  unit  of  work  when  the  subject  was  walking. 
This  confirms  the  earlier  contention  of  Durig  and  his  associates  that  the 
heat  required  to  move  1  kilogram  1  meter  increases  with  the  speed. 
Furthermore,  the  method  of  progression,  i.  e.,  walking  or  running,  had 
likewise  a  very  considerable  influence  on  the  heat  per  unit  of  work. 
Both  of  these  factors  require  subsequent  elaboration. 

COMPARISON  OF  THE  HEAT  PER  UNIT  OF  WORK  AS  COMPUTED  FROM  DIFFERENT  BASE-LINES. 

The  last  three  columns  of  table  14  permit  the  comparison  of  the  heat 
per  unit  of  work,  i.  e.,  per  horizontal  kilogrammeter,  as  computed 
from  the  three  base-lines.  Instead  of  using  the  individual  values  hi 
table  14,  however,  this  comparison  can  better  be  made  by  using  only 
the  average  figures  for  the  several  groups  presented  in  the  foregoing 
discussion  on  the  influence  of  velocity.  To  find  exactly  the  differ- 
ences due  to  the  selection  of  the  base-line,  we  have  therefore  brought 
together  in  table  15  a  general  average  for  all  of  the  experiments  without 
food,  both  walking  and  running.  The  walking  experiments  are 
divided  into  three  groups,  according  to  the  speed  at  which  the  subject 
walked.  Thus  we  have  57  periods  when  the  subject  walked  at  a  slow 
rate  ranging  from  56  to  93.3  meters  and  averaging  71.5  meters,  6  periods 
with  a  medium  speed  averaging  106.3  meters  per  minute,  and  7  periods 
with  a  high  speed  averaging  144.1  meters  per  minute.  During  the 
running  experiments,  the  speed  averaged  147.5  meters  per  minute. 
The  values  showing  the  heat-output  per  unit  of  work  done,  using  the 
Benedict  and  Cathcart  basal  value  (lying  I),  are  given  in  column  6, 
those  for  which  the  basal  value  of  April  18, 1914,  was  employed  (lying  II) 
in  column  c,  and  those  calculated  from  the  basal  value  found  with  the 
subject  standing  in  the  relaxed  position  are  given  in  column  d. 

With  the  large  amounts  of  heat  involved  in  the  walking  experiments 
the  relatively  slight  differences  appearing  in  these  three  base-lines 
should  not  have  a  very  great  effect.  It  is  obvious,  moreover,  that  the 
greater  the  amount  of  work  done  in  walking,  the  less  will  be  the  per- 
centage change  due  to  the  selection  of  the  base-line.  Thus  we  note  that 
the  heat  per  unit  of  work  done  at  the  slow  speed  is  lower  when  the 
standing  basal  value  is  employed  than  it  is  when  the  lying  value  II 
(that  of  April  18,  1914)  is  used,  the  difference  between  the  two  averages 
being  approximately  6  per  cent.  With  the  increase  in  the  work 
involved  in  walking  at  the  moderate  speed,  the  difference  due  to  the 
selection  of  the  basal  value  becomes  considerably  less,  i.  e.,  3  per  cent, 


DISCUSSION    OF    RESULTS. 


87 


and  finally  with  the  large  heat  production  incidental  to  walking  at  the 
rate  of  144.1  meters  per  minute,  the  difference  between  the  calculations 
with  the  two  base-lines  becomes  approximately  only  1.5  per  cent.  This 
small  difference  likewise  holds  in  the  running  experiments.  The  values 
computed  from  the  Benedict  and  Cathcart  base-line  show  the  same 
general  characteristics,  although  the  difference  between  the  two  results 
is  smaller  than  with  the  basal  value  of  April  18,  1914. 

It  thus  appears  that  as  the  total  amount  of  work  increases  it  becomes 
less  important  which  of  the  three  base-lines  is  used.  For  slow  and 
moderate  speeds  a  possible  difference  of  3  to  6  per  cent  in  the  average 
value  of  the  heat  per  unit  of  work  may  be  expected,  while  with  the 
highest  speed  this  difference  decreases  to  from  1  to  1.5  per  cent.  The 


TABLE  15.- 


-Comparison  of  heat-output  during  walking  and  running  as  referred  to  basal  values 
for  the  lying  and  standing  positions. 

[Experiments  with  subject  II  without  food.] 


Heat  (computed)  per  hori- 

Average 

zontal  kilogrammeter 

distance 

(gram-calorie). 

Number  of 

per 

| 

periods. 

minute 
(meters) 

Above 
lying  I1 

Above 
lying  II1 

Above 
standing 
relaxed1 

(a) 

(b) 

(c) 

W 

Walking  : 

57 

71  5 

0.509 

0.521 

0.493 

6 

106  3 

.595 

.603 

.585 

7  

144.1 

.940 

.946 

.932 

Running: 

15  

147.5 

.814 

.819 

.806 

table  14,  p.  83,  for  explanation  of  basal  values  used. 

importance  of  the  selection  of  a  basal  value  is  therefore  greatest  when 
the  amount  of  walking  to  be  performed  is  smallest,  i.  e.,  when  the  sub- 
ject is  walking  at  moderate  speed.  This  is  somewhat  unfortunate,  for 
a  large  proportion  of  walking  for  exercise,  for  the  carrying  of  burdens, 
and  in  marching  is  usually  done  at  a  moderate  speed.  Since,  however, 
the  basal  values  obtained  with  the  subject  standing  in  the  relaxed 
position  were  daily  and  accurately  determined,  and  since  there  is  such 
a  high  degree  of  constancy  in  the  standing  relaxed  values,  we  consider 
that  they  may  be  properly  used  as  the  basal  values  for  these  compu- 
tations. The  figures  obtained  per  unit  of  work  on  this  basis  may  there- 
fore be  considered  to  represent  the  increased  metabolism  necessary  to 
move  1  kilogram  1  meter  in  a  horizontal  direction. 

EXPERIMENTS  WITH  FOOD. 

A  large  number  of  experiments  following  the  ingestion  of  food  were 
made  with  subject  II.  The  results  of  all  these  experiments  are  pre- 
sented in  table  16,  the  data  being  grouped  arbitrarily  according  to  the 
preceding  meal  and  especially  according  to  the  character  of  the  diet. 


88 


ENERGY  TRANSFORMATIONS  DURING  HORIZONTAL  WALKING. 


TABLE  16. — Increase  in  heat-output  during  walking  in  experiments  with  subject  II 

with  food. 


Diet  and  date. 

Condition. 

(a) 

Body- 
weight 
with 
cloth- 
ing. 

(6) 

Dis- 
tance 
per 
minute. 

(c) 

Horizon- 
tal kilo- 
gram- 
meters 
(aXb). 

(d) 

Raising 
of  body 
per 
minute. 

Heat-output  (computed). 

(e) 

Total 
per 
minute. 

Increase  over 
standing. 

(/) 
Total. 

(ff) 
Per 
horizon- 
tal kilo- 
gram- 
meter 
(/-5-c). 

1914 
Breakfast. 
Not  controlled: 
Mar.  16.  . 
18 

Standing1. 

kilos. 

meters. 

meters. 

2.88 
3.34 
3.62 
3.16 
3.11 
2.74 
2.61 
2.52 
2.26 
1.91 
1.98 
1.87 

3.63 
3.56 
3.52 
3.74 
3.76 
3.29 
3.73 
3.69 

3.17 
3.75 
3.55 
2.39 
2.59 
.81 
1.50 
2.30 
2.15 
2.12 
2.40 
2.24 
1.72 
2.02 
2.84 
3.38 
2.05 
2.21 

cah. 
'1.43 
3.92 
4.06 
4.09 
4.21 
3.74 
3.40 
3.74 
3.48 
3.65 
3.23 
3.07 
3.24 

21.59 
4.31 
4.26 
4.20 
4.07 
4.09 
3.87 
4.10 
3.98 

31.55 
3.99 
4.02 
4.09 
3.16 
3.40 
3.99 
3.64 
3.67 
3.62 
3.81 
3.59 
3.53 
3.53 
3.44 
4.68 
4.47 
3.51 
3.74 

cals. 

2.49 
2.63 
2.66 
2.78 
2.31 
1.97 
2.31 
2.05 
2.22 
1.80 
1.64 
1.81 

gm.-cal. 

0.463 
.478 
.471 
.513 
.551 
.470 
.555 
.479 
.527 
.454 
.401 
.447 

Walking  .  .  . 
do  

72.4 
72.4 

72.4 

72.4 
72.4 

72.0 
72.0 
72.0 

74.3 
76.0 
78.0 
74.9 
57.9 
57.9 
57.5 
59.4 
58.5 
55.1 
56.8 
56.2 

5,379 
5,502 
5,647 
5,423 
4,192 
4,192 
4,163 
4,277 
4,212 
3,967 
4,090 
4,046 

19 

do  .    ... 

21 

do.      . 

23 

do. 

28. 

do  

30 

do  

Apr.     4 

.  .   do. 

Controlled  : 
Carbohydrate  : 
Apr.  29  .  . 

Lunch. 
Not  controlled: 
Mar.  16.  . 
18.. 
19 

Standing2.  . 

Walking  .  .  . 
Standing3.  . 

70.9 

76.9 
78.2 
79.5 
80.9 
81.1 
80.9 
81.0 
81.1 

5,452 
5,544 
5,637 
5,736 
5,750 
5,736 
5,743 
5,750 

2.72 
2.67 
2.61 
2.48 
2.50 
2.28 
2.51 
2.39 

.499 
.482 
.463 
.432 
.435 
.397 
.437 
.416 

Walking  .  .  . 
....  do  
do. 

72.4 
72.4 
72.4 
72.4 
72.4 
72.0 
72.0 
72.0 
72.0 
72.0 
72.0 

72.0 
72.0 

72.0 

75.3 
76.3 
74.9 
52.7 
52.8 
62.7 
61.1 
60.7 
58.6 
59.3 
58.5 
57.3 
57.7 
57.0 
77.0 
78.9 
54.4 
58.1 

5,452 
5,524 
5,423 
3,815 
3,823 
4,514 
4,399 
4,370 
4,219 
4,270 
4,212 
4,126 
4,154 
4,104 
5,544 
5,681 
3,917 
4,183 

2.44 
2.47 
2.54 
1.61 
1.85 
2.44 
2.09 
2.12 
2.07 
2.26 
2.04 
1.98 
1.98 
1.89 
3.13 
2.92 
1.96 
2.19 

.448 
.447 
.468 
.422 
.484 
.541 
.475 
.485 
.491 
.529 
.484 
.480 
.477 
.461 
.565 
.514 
.500 
.524 

20 

do. 

21. 

do  

24 

...   do  

25 

.  .   do  .      . 

26 

do. 

27 

do. 

28 

do. 

30 

do. 

31.  . 

do  

Apr.     3.  . 

do.    .  .  . 

4.  . 

do..  .. 

^Average  of  all  periods  with  subject  standing  after  a  light  meal  (breakfast).     See  table  11,  p.  72. 

2Standing,  relaxed.  Average  of  values  obtained  with  similar  diet  on  Apr.  25  and  Apr.  27.  See 
table  12,  p.  74. 

3Average  of  results  obtained  for  all  positions  standing  after  lunch,  diet  not  controlled.  See 
table  12,  p.  74. 


DISCUSSION    OF    RESULTS. 


89 


TABLE  16. — Increase  in  heat-output  during  walking  in  experiments  with  subject  II 

with  food — Continued. 


Diet  and  date. 

Condition. 

(a) 

Body- 
weight 
with 
cloth- 
ing. 

(6) 

Dis- 
tance 
per 
minute 

(c) 

Horizon- 
tal kilo- 
gram- 
meters 
(0X6). 

(d) 

Raising 
of  body 
per 
minute 

Heat-output  (computed). 

(e) 

Total 
per 
minute 

Increase  over 
standing. 

(/) 
Total. 

(0) 
Per 
horizon- 
tal kilo- 
gram- 
meter 
(/-c). 

1914 
Lunch  —  Cont'd. 
Controlled  : 
Protein  : 
Apr.     6  .  . 

7.  . 
8.  . 
23.  . 

24.  . 
May     5.  . 

May  10.  . 

Carbohydrate: 
Apr.     9  .  . 

Apr.   10.  . 
14.  . 
15.  . 

Standing  .  . 

kilos. 

meters. 

meters. 

2.21 
1.94 
1.81 

1.78 
1.83 
1.82 

2.50 
3.01 
2.70 

2.74 
2.57 
2.48 
2.63 

3.74 

3.88 
3.84 
3.88 

7.69 
7.83 
6.40 
7.76 

7.83 

8.28 

1.95 
1.94 
1.94 

3.01 
3.17 
3.35 

2.38 
2.20 
2.27 

3.88 
3.72 
3.88 

cals. 
1.43 
3.54 
3.51 
3.46 
1.37 
3.59 
3.77 
3.41 
1.33 
4.28 
4.38 
4.46 
1.24 
3.55 
3.44 
3.45 
3.45 
1.41 
4.05 
4.11 
4.26 
4.24 
11.36 
6.34 
6.43 
5.89 
6.31 
4.36 
11.05 
11.07 

1.43 
3.48 
3.43 
3.53 
1.47 
4.70 
4.59 
4.37 
1.42 
3.40 
3.54 
3.47 
1.38 
4.52 
4.41 
4.63 

cals. 

gm.-cal. 

Walking  .  .  . 
Standing 

72.0 

57.5 
57.2 
56.3 

4,140 
4,118 
4,054 

2.11 

2.08 
2.03 

2.22 
2.40 
2.04 

2.95 
3.05 
3.13 

2.31 
2.20 
2.21 
2.21 

2.64 
2.70 
2.85 
2.83 

4.98 
5.07 
4.53 
4.95 

.510 
.505 
.501 

.524 
.568 
.498 

.533 
.543 

.549 

.535 
.507 
.509 
.508 

.486 
.486 
.505 
.502 

.617 
.622 
.596 
.620 

Walking  .  .  . 
Standing  . 

72.0 

58.8 
58.7 
56.9 

4,234 
4,226 
4,097 

Walking  .  .  . 
Standing  .  . 

72.0 

76.9 
78.0 
79.2 

5,536 
5,616 
5,702 

Walking  .  .  . 
Standing  .  . 

70.5 

61.2 
61.6 
61.6 
61.7 

4,315 
4,343 
4,343 
4,350 

Walking  .  .  . 
Standing1. 

70.5 

77.0 

78.8 
80.0 
80.0 

5,428 
5,555 
5,640 
5,640 

Walking  .  .  . 
Standing1. 

71.7 

112.6 
113.7 
106.0 
111.3 

8,073 
8,152 
7,600 
7,980 

Walking  .  .  . 
Standing  .  . 

72.3 

146.5 

146.9 

10,592 
10,621 

9.69 
9.71 

.915 
.914 

Walking  .  .  . 

Standing  .  . 
Walking  .  .  . 

Standing 

72.0 
72.0 

59.4 
59.0 

58.8 

78.0 
79.1 
79.7 

4,277 

4,248 
4,234 

2.05 
2.00 
2.10 

.479 

.471 
.496 

5,616 
5,695 
5,738 

3.23 
3.12 
2.90 

.575 
.548 
.505 

Walking  .  .  . 
Standing  .  . 

71.9 

61.2 
62.0 
62.2 

4,400 
4,458 
4,472 

1.98 
2.12 
2.05 

.450 
.476 
.458 

Walking  .  .  . 

71.5 

78.2 
80.1 
80.6 

5,591 
5,727 
5,763 

3.14 
3.03 
3.25 

.562 
.529 
.564 

Standing,  relaxed;  average  obtained  on  5  days  with  protein  diet  (table  12). 


90 


ENERGY  TRANSFORMATIONS  DURING  HORIZONTAL  WALKING. 


TABLE  16. — Increase  in  heat-output  during  walking  in  experiments  with  subject  II 

with  food — Continued. 


(a) 

(6) 

(c) 

(d) 

Heat-output  (computed)  . 

Increase  over 

standing. 

Diet  and  date. 

Condition. 

Body- 
weight 
with 

Dis- 
tance 

Horizon- 
tal kilo- 
gram- 

Raising 
of  body 

(e) 

Total 

(/) 

(9) 
Per 

cloth- 
ing. 

per 
minute. 

meters 
(0X6). 

per 
minute. 

per 
minute. 

Total. 

horizon- 
tal kilo- 

gram- 

meter 

1914 
Lunch  —  Cont'd. 

Carbohydrate  — 

cont'd. 

kilos. 

meters. 

meters. 

cals. 

cals. 

gm.-cal. 

Apr.      25  .  . 

Standing 

1.58 

Walking  .  .  . 

69.9 

63.1 

4,411 

2.88 

3.52 

1.94 

.440 

63.8 

4,460 

2.70 

3.53 

1.95 

.437 

63.7 

4,453 

2.85 

3.49 

1.91 

.429 

63.3 

4,425 

2.64 

3.34 

1.76 

.398 

27.  . 

Standing 

1.61 

Walking  .  .  . 

70.5 

77.5 

5,464 

3.60 

4.30 

2.69 

.492 

.... 

78.9 

5,562 

3.56 

4.02 

2.41 

.433 

.... 

79.8 

5,626 

3.88 

4.24 

2.63 

.467 

80.2 

5,654 

3.74 

4.04 

2.43 

.430 

Mav     4 

Standing1 

lj    gg 

iv  JL  C*^            ^  .    . 

Walking  .  .  . 

71.7 

113.4 

8,131 

6.84 

6.59 

5.00 

.615 

.... 

112.3 

8,052 

7.88 

6.46 

4.87 

.605 

110.3 

7,909 

7.41 

6.10 

4.51 

.570 

6.  . 

Standing1.  . 

H.59 

Walking  .  .  . 

71.7 

143.0 

10,253 

7.82 

10.73 

9.14 

.891 

11.  . 

Standing1 

^.59 

Running.  .  . 

72.0 

148.7 

10,706 

13.95 

9.50 

7.91 

.739 

Fat: 

Apr.  16  .  . 

Standing 

1.41 

Walking  .  .  . 

71.5 

61.6 

4,405 

2.49 

3.35 

1.94 

.440 

62.3 

4,455 

2.48 

3.15 

1.74 

.391 

62.2 

4,447 

2.24 

3.43 

2.02 

.454 

61.9 

4,426 

2.21 

3.42 

2.01 

.454 

17.  . 

Standing 

1.36 

Walking  .  .  . 

71.5 

77.6 

5,548 

3.96 

4.06 

2.70 

.487 

.... 

79.5 

5,684 

3.78 

4.27 

2.91 

.512 

.... 

80.0 

5,720 

3.85 

4.56 

3.20 

.559 

80.0 

5,720 

3.67 

4.15 

2.79 

.488 

21.  . 

Standin^ 

1.42 

Walking  .  .  . 

70.5 

60.4 

4,258 

2.45 

3.33 

1.91 

.449 

.... 

60.6 

4,272 

2.56 

3.43 

2.01 

.471 

60.5 

4,265 

2.34 

3.44 

2.02 

.474 

60.5 

4,265 

2.23 

3.43 

2.01 

.471 

22.  . 

Standin" 

1.42 

Walking  .  .  . 

70.5 

77.3 

5,450 

3.86 

4.07 

2.65 

.486 

78.7 

5,548 

3.86 

4.24 

2.82 

.508 

.... 

79.5 

5,604 

3.92 

4.25 

2.83 

.505 

.... 

79.7 

5,619 

3.84 

4.18 

2.76 

.491 

Standing,  relaxed. 
See  table  12,  p.  74. 


Average  of  values  obtained  with  similar  diet  on  Apr.  25  and  Apr.  27. 


DISCUSSION    OF    RESULTS.  91 

As  we  have  already  seen  from  the  discussion  in  an  earlier  section,1 
the  metabolism  in  the  standing  relaxed  position  after  the  ingestion  of 
food  was  considerably  greater  than  that  obtained  when  the  subject  was 
without  food,  this  being  due  to  the  katabolic  stimuli  of  the  foodstuffs. 
Of  most  importance,  however,  is  the  question  whether  the  increment  due 
to  walking  is  superimposed  upon  the  increased  katabolism  due  to  food 
or  whether  this  increment  is  lessened  by  the  fact  that  the  body  is 
previously  stimulated  to  a  greater  katabolic  activity.  With  a  view  to 
studying  the  influence  of  variations  in  the  intensity  of  the  pre-walking 
stimulation,  certain  of  the  diets  were  so  controlled  as  to  consist  in 
large  part  of  one  of  the  three  principal  food  constituents,  i.  e.,  protein, 
fat,  or  carbohydrate.  With  the  experimental  conditions  and  the  impos- 
sibility of  controlling  the  subject's  diet  while  he  was  outside  of  the 
laboratory,  it  was  impracticable  to  make  a  thorough  study  of  this  par- 
ticular phase  of  the  problem.  Our  data  do  not  therefore  present  a 
conclusive  statement  as  to  the  influence  of  the  special  protein,  fat,  or 
carbohydrate  diets,  but  merely  contribute  to  the  interesting  question 
as  to  whether  or  not  the  increase  in  the  katabolism  following  the  inges- 
tion of  food  persists  during  increased  muscular  activity  or  if  there  be  a 
summation  effect  under  these  conditions. 

Since  we  have  seen  not  only  from  the  work  of  previous  investigators, 
but  from  tables  14  and  15,  that  there  is  a  marked  influence  upon  the 
heat  per  unit  of  work  as  the  result  of  an  increase  in  velocity,  particu- 
larly when  the  velocity  is  above  95  meters  per  minute,  it  seems  prefer- 
able to  consider  the  data  presented  in  table  16  from  this  point  of  view. 
As  in  the  experiments  with  this  subject  when  no  food  was  taken,  here 
again  we  find  that  in  the  greater  number  of  the  experiments  the  speed 
varied  from  52.7  to  81.1  meters  per  minute,  there  being  but  7  periods  at 
speeds  ranging  from  106  to  113.7  meters  per  minute,  and  but  4  periods 
with  a  speed  over  140  meters  per  minute. 

Considering  first  the  experiments  at  the  lower  speed,  we  find  that 
91  periods  are  available  for  study.  The  average  velocity  during  these 
periods  was  68.2  meters  per  minute  and  the  heat  per  unit  of  work  done, 
i.  e.,  per  horizontal  kilogrammeter,  was  0.486  gram-calorie.  It  will  be 
seen  from  the  table  that  the  standing  basal  value  for  the  total  heat- 
output  per  minute  in  the  experiments  with  food  ranged  from  1.24  to 
1.61  calories  per  minute,  averaging  considerably  above  those  obtained 
when  the  subject  was  standing  in  the  post-absorptive  condition.  On 
the  other  hand,  since  the  average  value  per  unit  of  work  done  in  57 
periods  without  food  was  0.493  gram-calorie  and  the  average  of  91 
periods  with  food  was  0.486  gram-calorie,  it  is  clear  that  the  increase 
over  the  basal  metabolism  was  the  same  in  both  instances;  in  other 
words,  the  increment  due  to  the  work  of  forward  progression  was 

lSee  p.  75. 


92  ENERGY  TRANSFORMATIONS  DURING  HORIZONTAL  WALKING. 

constant,  irrespective  of  whether  the  subject  was  with  or  without  food, 
this  being  true  for  subject  II  with  the  rate  of  speed  varying  from  52.7 
to  93.3  meters  per  minute. 

At  moderate  speeds  above  100,  we  have  seven  periods  with  food  in 
which  the  velocity  varied  from  106  to  113.7  meters  per  minute,  the 
average  speed  being  1 1 1 .4  meters  per  minute,  and  the  average  output  of 
heat  per  unit  of  work  done  0.606  gram-calorie.  Certain  difficulties 
appear  when  an  attempt  is  made  to  compare  the  results  of  these 
periods  with  food  with  periods  without  food.  First,  the  speed  per 
minute  without  food  was  106.3  meters  and  that  with  food  111.4  meters, 
this  being  a  perceptible  increase.  Second,  but  few  periods  are  available 
for  comparison  either  with  or  without  food,  there  being  but  7  for  the 
former  and  6  for  the  latter.  If  we  make  such  a  comparison,  however, 
we  find  that  with  food  the  heat  per  unit  of  work  is  0.606  gram-calorie, 
while  that  without  food  was  only  0.585  gram-calorie.  It  is  probably 
not  possible  to  attribute  this  increase  in  the  heat-output  per  unit  of 
work  solely  to  the  increase  of  5  per  cent  in  the  speed,  and  we  can  only 
state  that  with  speeds  averaging  111.4  meters  per  minute  the  increase 
in  the  heat  per  horizontal  kilogrammeter  with  food  is  perceptibly 
greater  than  that  with  food  at  a  speed  of  68.2  meters  per  minute. 

The  comparison  becomes  even  more  difficult  when  we  consider  the 
experiments  with  the  highest  speeds,  namely,  those  of  140  meters  per 
minute  and  over.  Here  we  have  but  4  periods  with  food,  with  the 
speed  ranging  from  143  to  148.7  meters  per  minute  and  an  average 
speed  of  146.3  meters  per  minute.  The  comparison  is  still  further 
complicated  by  the  fact  that  in  one  of  these  four  periods  the  subject 
was  running.  The  average  heat-output  per  unit  of  work  done  for  the 
three  walking  periods  was  0.907  gram-calorie  and  the  value  found  for 
the  one  period  with  the  subject  running  was  0.739  gram-calorie,  a 
value  much  less  than  that  obtained  with  the  subject  walking. 

We  may  thus  say  that  all  of  the  observations  made  after  the  taking 
of  food  are  completely  in  accord  with  those  made  when  no  food  was 
taken,  i.  e.,  an  increase  in  the  energy  per  unit  of  work  done  as  the  speed 
increased  and  a  considerably  less  energy  per  unit  of  work  done  when 
the  subject  was  running  as  compared  with  that  when  he  was  walking. 
An  analysis  of  the  processes  of  running  and  walking  and  the  character 
of  the  steps  is  necessary  to  interpret  these  differences  intelligently.1 

Electrocardiograms  of  the  pulse-rate  were  obtained  in  a  few  of  the 
experiments  following  the  ingestion  of  food,  namely,  those  of  April  4, 
6,  and  7.2  These  records  show  the  same  discrepancy  between  the  pulse- 
rate  and  the  metabolism  as  was  found  in  the  experiments  without  food.3 

'See  p.  98.  2See  table  4,  pp.  54  and  55.  3See  p.  85. 


DISCUSSION    OF    RESULTS. 


93 


INFLUENCE  OF  THE  CHARACTER  OF  DIET  ON  THE  HEAT-OUTPUT  PER  UNIT 

OF  WORK. 

While  from  the  general  observations  of  the  metabolism  with  and 
without  food  the  inference  was  properly  drawn  that  there  was  no 
material  increase  in  the  heat-output  per  unit  of  work  in  the  food 
periods,  nevertheless  certain  of  the  experiments  permit  a  more  detailed 
examination  of  this  point  since  a  reasonably  satisfactory  grouping  of 
the  results  may  be  made  upon  the  basis  of  the  character  of  the  diet. 
The  experimental  plan  as  originally  outlined  called  for  a  series  of 
walking  experiments  at  each  of  the  three  standard  speeds  with  diets 
containing  a  preponderance  of  each  of  the  three  principal  nutrients. 

The  average  figures  representing  the  heat  per  unit  of  work  with  the 
three  diets  and  the  three  speeds  are  collected  in  table  17.  In  this  table 
the  average  speed  for  the  different  groups  is  given,  as  the  speed  per 
minute,  especially  with  the  low  speed,  was  not  exactly  the  same  for  the 
three  diets.  Only  the  walking  experiments  are  considered  in  this 
connection,  none  of  the  running  experiments  being  included. 


TABLE  17  — Influen: 


~4  character  of  diet  on  the  heat-output  per  horizontal  kilogrammeter  during 
walking  experiments  with  subject  II. 


Character  of  diet. 

Low  speed. 

Moderate  speed. 

High  speed. 

Meters. 

Gm.-cal. 

Meters. 

Gm.-cal. 

Meters. 

Gm.-cal. 

Carbohydrate   . 

73.2 
67.1 
70.1 

0.471 
.516 

.478 

112.0 
110.9 

0.597 
.614 

143.0 
146.7 

0.891 
.915 

Protein 

Fat 

Aside  from  the  generally  increasing  value  of  the  heat  per  unit  of 
work  as  the  speed  increases,  which  is  clearly  shown  in  table  17,  we 
note,  in  comparing  the  values  obtained  with  the  different  diets,  a  dis- 
tinctly higher,  although  not  striking,  increase  in  the  heat  per  unit  of 
work  with  the  protein  diet  as  compared  with  the  carbohydrate  diet, 
this  increase  being  approximately  9  per  cent  at  the  low  speed  and  3  per 
cent  at  the  moderate  and  high  speeds.  With  the  fat  diet  the  com- 
parison was  made  only  with  the  low  speed,  and  we  find  that  the  heat- 
output  per  unit  of  work  was  essentially  the  same  as  that  with  the  car- 
bohydrate diet  and  measurably  less  than  was  obtained  with  the  protein 
diet.  The  general  impression  derived  from  the  comparison  of  all  the 
experiments  with  subjects  I  and  II  was  that  the  heat  per  unit  of  work 
was  practically  independent  of  the  taking  of  food.  It  appears  from  the 
foregoing  discussion,  however,  that  this  conclusion  should  be  slightly 
modified  when  diets  containing  large  quantities  of  protein  are  con- 
sidered, for  the  data  in  table  17  indicate  that  with  such  a  diet  a  slightly 
higher  heat-output  per  unit  of  work  may  be  expected. 


94        ENERGY    TRANSFORMATIONS    DURING    HORIZONTAL    WALKING. 
INFLUENCE  OF  FATIGUE  UPON  THE  HEAT-OUTPUT  PER  UNIT  OF  WORK. 

Many  of  our  experiments  were  made  with  a  sufficient  number  of  con- 
secutive walking  periods  to  permit  a  study  of  the  heat  per  unit  of  work 
done  under  conditions  of  accumulated  work.  The  average  length  of 
the  walking  period  was  14  minutes.  The  distance  traveled  in  a  period 
in  the  prolonged  walking  experiments  varied  from  800  to  1,200  meters, 
and  the  subject  walked  not  only  during  the  experimental  periods,  when 
the  gaseous  metabolism  was  being  measured,  but  also  between  these 
periods.  When,  therefore,  the  experiment  consisted  of  four  or  more 
experimental  periods,  it  will  be  seen  that  the  continuous  walking  would 
amount  frequently  to  several  kilometers,  thus  providing  conditions  for 
studying  the  effect  of  fatigue.  In  relatively  few  of  these  experiments, 
however,  was  there  substantial  evidence  of  extreme  fatigue. 

The  results  of  the  observations  in  which  there  were  four  or  more 
periods  of  continuous  walking  are  brought  together  in  table  18.  The 
data  given  show  the  total  distance  walked  by  the  subject  prior  to  the 
beginning  of  each  experimental  period1  and  both  the  distance  walked 
per  minute  and  the  heat-output  per  unit  of  work  performed  during  the 
period.  On  two  days,  April  28  and  29,  1914,  there  were  eight  walking 
periods;  the  total  distance  traversed  each  day  in  continuous  walking 
was  approximately  23  kilometers.  Throughout  both  experiments  the 
distance  per  minute  remained  essentially  constant  at  about  80  meters; 
we  thus  have  ideal  conditions  for  studying  the  influence  of  fatigue 
resulting  from  continuous  walking.  On  April  28,  when  the  subject  was 
without  food,  there  was  no  essential  difference  in  the  unit  of  work  done 
as  the  experiment  progressed,  although  there  were  variations  from 
period  to  period.  On  the  next  day,  a  similar  experiment  was  made 
after  food  had  been  taken.  The  average  heat  per  unit  of  work  done 
on  this  day  was  considerably  less  than  that  on  April  28  and  a  general 
tendency  was  also  shown  for  the  heat  per  unit  of  work  done  to  decrease 
as  the  work  progressed.  Inspection  of  the  values  found  for  another 
experiment  of  6  periods  on  May  13,  when  the  subject  was  without  food, 
shows  more  or  less  fluctuation  in  the  values  obtained  for  the  heat  per 
unit  of  work  done,  but  there  is  no  uniformity  in  the  changes  and, 
indeed,  the  values  are  somewhat  greater  in  the  last  periods  than  in  the 
earlier  periods.  With  the  experiments  having  only  four  periods,  in 
which  the  total  distance  walked  prior  to  the  last  period  ranged  from 
8  to  12  kilometers,  we  find  that  on  certain  days  there  was  a  tendency 
for  the  heat  per  unit  of  work  to  decrease  as  the  walking  progressed  and 
on  other  days  to  increase,  but  in  the  majority  of  the  experiments  there 
was  no  regularity  in  the  variations. 

From  the  data  given  in  table  18,  we  may  conclude  that  there  may  be 
noticeable  differences  in  the  absolute  heat  per  unit  of  work  done  on 
different  days,  a  point  particularly  brought  out  in  the  experiments  of 

'For  total  distance  walked,  see  table  4,  pp.  56  to  60. 


DISCUSSION    OF    RESULTS. 


95 


April  28  and  April  29.  Nevertheless,  there  is  no  definitely  uniform 
influence  of  prolonged  walking  upon  the  efficiency  for  horizontal 
movement  shown  by  this  subject  and  the  heat  per  unit  of  work  after  he 
had  walked  20  kilometers  is  as  liable  to  be  lower  than  the  initial  value 
as  it  is  to  be  higher.  In  other  words,  in  this  series  of  experiments,  the 
measured  metabolism  agrees  perfectly  with  the  subjective  impression 
that  there  was  not  a  sufficient  degree  of  fatigue  to  affect  the  comfort 

TABLE  18. — Heat-output  per  unit  of  work  during  prolonged  walking  in  experiments  with  subject  II . 


Distance  walked. 

Heat 
(com- 

Distance walked. 

Heat 
(com- 

puted) 

puted) 

Date. 

Total  to 
beginning 
of  period.1 

Per 

minute 
during 
period. 

per  hori- 
zontal 
kilo- 
gram- 
meter.2 

Date. 

Total  to 
beginning 
of  period.1 

Per 

minute 
during 
period. 

per  hori- 
zontal 
kilo- 
gram- 
meter.2 

1914 

1914 

Without  food  : 

meters. 

meters. 

gm.-cal. 

With  food  : 

meters. 

meters. 

gm  .-cat. 

Apr.  28  ... 

382 

78.2 

0.506 

Apr.  29.  . 

650 

76.9 

0.499 

3,322 

79.8 

.487 

3,519 

78.2 

.482 

6,316 

80.0 

.498 

6,585 

79.5 

.463 

9,538 

80.7 

.504 

9,699 

80.9 

.432 

13,062 

80.4 

.556 

12,615 

81.1 

.435 

16,416 

80.2 

.499 

15,547 

80.9 

.397 

19,033 

80.2 

.511 

18,662 

81.0 

.437 

22,479 

80.4 

.501 

21,676 

81.1 

.416 

May  13.  .. 

521 

82.6 

.488 

Apr.   22  .  . 

368 

77.3 

.486 

3,993 

89.7 

.507 

3,452 

78.7 

.508 

7,737 

80.1 

.470 

7,067 

79.5 

.505 

11,391 

76.6 

.456 

10,345 

79.7 

.491 

16,413 

93.3 

.520 

Apr.  23  .  . 

348 

61.2 

.535 

20,527 

91.9 

.520 

2,723 

61.6 

.507 

With  food  : 

5,512 

61.6 

.509 

Apr.   16.  .. 

303 

61.6 

.440 

7,976 

61.7 

.508 

2,557 

62.3 

.391 

Apr.  24.  . 

354 

77.0 

.486 

5,901 

62.2 

.454 

2,879 

78.8 

.486 

9,424 

61.9 

.454 

5,541 

80.0 

.505 

Apr.   17.  .. 

507 

77.6 

.487 

8,295 

80.0 

.502 

3,945 

79.5 

.512 

Apr.  25  .  . 

323 

63.1 

.440 

7,572 

80.0 

.559 

2,330 

63.8 

.437 

12,266 

80.0 

.488 

5,122 

63.7 

.429 

Apr.  21... 

307 

60.4 

.449 

8,125 

63.3 

.398 

2,658 

60.6 

.471 

Apr.  27.. 

372 

77.5 

.492 

5,374 

60.5 

.474 

2,905 

78.9 

.433 

8,515 

60.5 

.471 

5,693 

79.8 

.467 

9,366 

80.2 

.430 

xFor  total  distance  walked,  see  table  4,  pp.  56  to  60. 

2Calculated  for  each  period  from  the  increment  above  values  obtained  with  the  subject  standing 
relaxed.     See  tables  14  and  16,  pp.  83  and  88. 

of  the  subject  or  his  metabolism  and  that  at  the'  speed  used  throughout 
these  tests,  namely,  80  meters  per  minute,  walking  may  be  done  for 
many  kilometers  without  affecting  the  efficiency  of  the  body  for  loco- 
motion in  a  forward  direction. 

The  stamina  of  the  subject  and  his  capacity  for  excessive  work  was 
severely  tested  in  the  earlier  research  on  prolonged  bicycle  riding,  in 


96        ENERGY    TRANSFORMATIONS    DURING    HORIZONTAL    WALKING. 

which  it  was  demonstrated  that  this  subject  had  ridden  the  equivalent  of 
100  miles  over  average  roads  on  an  empty  stomach;  but  in  this  research 
it  was  impracticable  to  carry  out  prolonged  endurance  tests  at  high 
rates  of  speed.  Indeed,  at  the  highest  speed,  i.  e.,  140  kilometers  per 
minute,  it  is  very  certain  that  the  subject  would  have  run  instead  of 
walked,  as  distances  as  great  as  20  or  more  kilometers  are  rarely  covered 
rapidly  by  walking,  but  usually  by  running.  On  the  other  hand,  a 
speed  of  80  meters  per  minute  represents  an  average  rapidity  of  motion 
when  long-distance  walking  is  to  be  done  and  hence  the  values  obtained 
at  this  speed  have  a  much  greater  practical  use  than  would  values 
secured  with  the  subject  walking  at  a  higher  speed. 

COMPARISON  OF  THE  HEAT-OUTPUT  PER  UNIT  OF  WORK  DURING  RUNNING 
WITH  THAT  OBTAINED  DURING  WALKING. 

The  striking  difference  between  the  heat  per  unit  of  work  observed 
when  the  subject  was  running  and  that  obtained  when  he  was  walking 
has  already  been  noted  in  table  15  (see  p.  87),  the  figures  showing  that 
considerably  less  energy  per  unit  of  work  was  required  for  moving  the 
body  forward  in  running  than  in  walking  under  the  experimental 
conditions.  The  values  obtained  when  the  subject  was  moving 
forward  at  the  rate  of  approximately  144  meters  per  minute  give  the 
only  data  for  a  direct  comparison,  no  running  experiments  being  made 
at  the  lower  rates  of  walking.  At  this  speed,  the  value  computed  for 
walking  (using  the  standing  basal  value)  is  0.932  gram-calorie  and  for 
running  0.806  gram-calorie.  That  these  are  not  accidental  figures 
is  shown  by  the  fact  that  the  first  value  is  the  average  of  7  reasonably 
agreeing  periods  and  the  second  value  is  the  average  of  15  well  agreeing 
periods;  in  other  words,  we  deal  here  with  a  positive  difference  of 
approximately  15  per  cent.  It  thus  becomes  important  to  analyze, 
if  possible,  the  mechanical  movements  incidental  to  walking,  and  par- 
ticularly rapid  walking,  to  find  the  reason  for  this  discrepancy. 

Traveling  at  the  speed  of  144  meters  per  minute,  the  ordinary 
individual  without  load  generally  runs  rather  than  walks.  On  the 
other  hand,  in  transporting  heavy  material  as,  for  example,  military 
accouterments  and  trappings,  running  would  be  wholly  impracticable 
and  walking  must  be  resorted  to.  It  has  been  noted,  especially  in 
observations  of  professional  walkers,  that  in  rapid  walking  there  is 
commonly  very  great  extraneous  arm  movement,  the  arms  being 
violently  swung  back  and  forth  with  each  step.  In  the  belief  that  this 
unusual  extraneous  muscular  movement  results  in  a  large  energy 
transformation  which  does  not  directly  contribute  to  the  forward  pro- 
gression, the  study  previously  referred  to  was  made  in  which  the  energy 
requirement  of  subject  II  was  observed  while  he  stood  and  swung  his 
arms  violently  as  in  rapid  walking.  These  values  have  already  been 
discussed  in  connection  with  the  standing  resting  values,1  when  it  was 

'See  table  10  and  p.  71. 


DISCUSSION    OF    RESULTS. 


97 


found  that  in  one  experiment  the  heat-output  per  minute  was  2.53 
calories  and  in  the  other  3.13  calories  per  minute,  or  an  average  heat- 
output  of  2.83  calories  per  minute  as  compared  with  1.25  calories  per 
minute,  the  average  of  the  basal  values  obtained  with  the  subject 
standing  relaxed.  It  will  therefore  be  seen  that  when  the  arms  were 
swung  violently,  the  metabolism  was  increased  126  per  cent. 

It  is  accordingly  important  for  us  to  eliminate,  if  possible,  the  influ- 
ence of  this  extraneous  arm  motion.  To  this  end  we  have  computed  in 
table  19  the  heat-output  per  unit  of  work  during  rapid  walking,  using 

TABLE  19. — Increase  in  heat-output  during  fast  walking  in  experiments  with  subject  II. 

[Basal  value,  standing  swinging  arms.1] 


Heat-output  (computed). 

Date. 

Body- 
weight 

m4-l* 

Distance 
per 

Total 

Increase  due  to  walking. 

witn 
clothing. 

minute. 

per 
minute. 

Total. 

Per  horizontal 
kilograrnmeter. 

1914 

Without  food  : 

kilos. 

meters. 

cols. 

cals. 

gm.-cal. 

May     6  .... 

71.7 

140.7 

10.23 

7.40 

0.734 

139.6 

10.38 

7.55 

.754 

142.9 

10.91 

8.08 

.789 

10  

72.3 

145.5 

10.99 

8.16 

.776 

146.8 

11.68 

8.85 

.834 

146.6 

11.00 

8.17 

.771 

14  

71.5 

146.4 

11.23 

8.40 

.803 

Average  

780 

With  food  : 

| 

Protein  — 

May  10  .... 

72.3 

146.5 

11.05 

8.11 

.766 

146.9 

11.07 

8.13 

.765 

Carbohydrate  — 

May     6  .... 

71.7 

143.0 

10.73 

7.56 

.737 

Average  

.756 

'The  subject  stood  without  food  swinging  his  arms  violently  as  in  the  most  rapid  walking. 
(See  table  10,  p.  71.)  In  computing  the  results  for  walking  without  food,  the  average  value 
(2.83  cals.)  is  used;  for  walking  with  food  the  increment  (2.83  —  1.25=1.58  cals.)  due  to  swinging 
the  arms  is  added  to  the  value  obtained  for  "standing,  relaxed"  with  the  respective  diets. 

2.83  calories  as  the  base-line,  i.  e.,  the  average  value  found  with  the 
subject  standing  and  swinging  his  arms  violently.  Under  these  condi- 
tions we  find  a  marked  depression  in  the  heat-output  per  unit  of  work  as 
compared  with  that  computed  with  a  base-line  obtained  with  the  sub- 
ject standing  in  a  relaxed  position.  In  the  experiments  without  food, 
this  averaged  with  the  high  speeds,  0.932  gram-calorie,1  but  with  the 
new  basal  value,  it  averages  0.780  gram-calorie.  This  value  compares 
favorably  with  the  value  of  0.806  gram-calorie1  found  in  the  15  periods 
with  the  subject  running,  being  some  3  per  cent  less. 


'See  table  15,  p.  87. 


98       ENERGY    TRANSFORMATIONS    DURING    HORIZONTAL    WALKING. 

In  the  experiments  with  food  there  is  likewise  a  great  decrease  in  the 
heat  production  per  unit  of  work  when  this  new  base-line  is  used. 
Averaging  the  result  of  one  period  of  fast  walking  after  food  on  May  6 
and  those  of  the  two  periods  on  May  10,  we  find  that  the  heat  per  unit 
of  work  is  0.756  gram-calorie  as  compared  with  0.907  gram-calorie,1 
which  is  the  average  heat-output  per  unit  of  work  as  computed  with  the 
basal  value  found  with  the  subject  standing  relaxed.  The  average 
of  0.756  gram-calorie  agrees  very  closely  with  the  value  of  0.739  gram- 
calorie  found  in  the  experiment  of  May  11,  1914,  when  the  subject  was 
running  after  the  taking  of  food.1 

It  would  thus  appear  that  the  apparent  disadvantage  in  walking  a 
given  distance  at  a  speed  of  approximately  144  meters  per  minute  as 
compared  with  running  is  due  to  the  type  of  walking  commonly 
employed  by  professional  pedestrians  and  used  by  subject  II,  the  extra- 
neous movements  of  the  arm  playing  an  important  role. 

ANALYSIS  OF  THE  MECHANICS  OF  LOCOMOTION. 

The  experimental  data  obtained  in  this  research  permit  the  compari- 
son of  several  important  factors  in  the  mechanics  of  locomotion  as  we 
have  accurate  records  of  the  distance  walked  per  minute,  the  number 
of  steps  per  minute  and  the  height  to  which  the  body  was  raised  per 

TABLE  20. — Mechanics  of  locomotion  in  walking  experiments  with  subject  II. 


Speed. 

(a) 

Average 
raising  of 
body  per 
minute. 

(b) 

Average 
distance 
per 
minute. 

(c) 
Average 
number 
of  steps 
per 
minute. 

(d) 

Length 
of  step 
(b  +  c). 

(e) 
Raising 
of  body 
per 
step 
(o-5-c). 

Walking  : 
Low 

meters. 
2  88 

meters. 
69  3 

108.2 

cm. 
64  0 

cm. 
2.66 

Medium  

6.69 

109.0 

130.9 

83.3 

5.11 

High  

7.90 

144.5 

152.4 

94.8 

5.18 

Running     

13.76 

147.6 

181.9 

81.1 

7.56 

minute.  These  values  for  the  varying  conditions  of  walking  and  run- 
ning and  with  and  without  food  appear  in  several  of  the  preceding 
tables2  and  have  been  used  as  the  basis  for  computing  the  values  com- 
pared in  table  20.  In  this  table  the  average  values  are  given  for  the 
height  to  which  the  body  was  raised  both  per  minute  and  per  step,  the 
distance  walked  or  run  per  minute,  the  number  of  steps  per  minute,  and 
the  length  of  the  step.  The  comparisons  are  made  for  the  values 
obtained  with  the  subject  walking  at  low,  medium,  and  high  rates  of 
speed,  and  with  the  subject  running,  the  rate  of  progression  for  the 
latter  being  approximately  the  same  as  in  walking  at  high  speed. 


JSee  table  16. 


2See  tables  4,  13,  14,  and  16. 


DISCUSSION    OF    RESULTS.  99 

At  the  low  speed  the  subject  walked  69.3  meters  per  minute,  and  took 
108.2  steps  per  minute,  the  average  length  of  the  step  being  64.0  cm. 
With  an  increase  in  speed  we  note  an  increase  not  only  in  the  number  of 
steps  per  minute,  but  likewise  in  the  length  of  the  step,  the  number 
of  steps  per  minute  for  the  fast  walking  being  152.4  and  the  length  of 
the  step  94.8  cm.  When  we  consider  the  height  to  which  the  body  was 
raised,  we  find  that  the  average  height  per  minute  was  greatly  increased 
as  the  speed  increased,  that  obtained  at  the  medium  rate  being  more 
than  twice  the  value  secured  with  the  low  speed,  i.  e.,  an  increase  from 
2.88  meters  to  6.69  meters.  When  the  average  values  obtained  at  the 
medium  and  fast  speeds  are  compared,  we  find  that  although  the 
average  distance  walked  per  minute  increased  from  109.0  meters  to 
144.5  meters  and  the  number  of  steps  taken  per  minute  from  130.9 
to  152.4,  the  increment  in  the  distance  over  which  the  body  was  raised 
was  but  1.21  meters. 

Of  special  interest  in  this  connection  is  the  extraordinary  influence  of 
the  change  in  locomotion  from  fast  walking  to  running.  The  increase 
in  the  speed  was  inconsiderable,  being  but  3.1  meters  per  minute.  We 
find,  however,  that  in  running  the  average  height  to  which  the  body  was 
lifted  increased  from  7.90  meters  to  13.76  meters  per  minute  and  the 
average  number  of  steps  from  152.4  to  181.9  per  minute,  the  latter 
increment  not  being  at  all  in  proportion  to  the  former.  On  the  other 
hand,  the  length  of  the  step  was  decreased  in  running  from  94.8  cm. 
to  81.1  cm.  It  is  thus  apparent  that  in  running  the  steps  were  taken 
much  more  rapidly  and  considerably  shortened  and  that  the  body  was 
raised  to  a  much  higher  point  at  each  step. 

In  any  analysis  of  the  mechanics  of  forward  progression,  therefore, 
we  should  bear  in  mind  the  fact  that  in  running  the  body  is  actually 
lifted  to  nearly  twice  the  height  that  it  is  raised  during  walking.  This 
would  of  itself  involve  mechanical  work  not  directly  contributory  to  the 
work  of  forward  progression  and  we  should  therefore  expect  to  find,  on 
this  basis  alone,  that  the  work  of  walking  would  be  much  more  economi- 
cally done  than  the  work  of  running.  On  the  other  hand,  it  has  been 
pointed  out  in  connection  with  the  fast  walking  experiments  that  the 
subjects  involuntarily,  or  possibly  as  the  result  of  previous  training,  did 
an  excessive  amount  of  muscular  work  with  the  arms  which  likewise 
was  not  contributory  to  the  motion  of  forward  progression.  If,  how- 
ever, in  comparing  the  values  for  the  heat  output  per  unit  of  work  done 
in  walking  and  running,  we  use  as  a  base-line  the  value  obtained  with 
the  subject  standing  and  swinging  his  arms  vigorously,  we  find  that  the 
advantage  still  lies  with  the  walking  rather  than  with  the  running. 
Thus,  while  the  heat-output  per  unit  of  work  with  the  subject  running 
without  food  is  0.806  gram-calorie  with  the  standing  relaxed  base-line, 
when  we  use  the  base-line  obtained  with  the  subject  swinging  his  arms 
the  value  becomes  0.780  gram-calorie  for  the  7  periods  without  food  and 


100    ENERGY   TRANSFOEMATIONS    DURING    HORIZONTAL   WALKING. 

0.756  gram-calorie  for  the  three  periods  with  food,  with  an  average 
value  of  approximately  0.768  gram-calorie.  While  these  experiments 
are  relatively  few  in  number,  it  is  quite  possible  that  the  apparent  lower 
value  obtained  for  walking  as  compared  with  running,  after  deducting 
the  standing  active  base-line,  may  be  explained  by  the  fact  that  the 
body  is  elevated  nearly  twice  as  much  when  running  as  when  walking 
and  that  to  cover  the  same  distance  about  20  per  cent  more  steps  were 
needed.  In  the  motion  of  forward  progression  we  have  therefore  to 
take  into  account,  first,  the  extraneous  muscular  activities  not  directly 
contributory  to  the  work  of  forward  progression,  chief  among  these 
being  the  extraneous  muscular  movements  of  the  arms  in  rapid  walking 
which  require  the  expenditure  of  a  considerable  amount  of  energy. 
Second,  the  type  of  step  or  the  gait  plays  an  important  role,  since  in 
raising  the  body  work  is  performed,  requiring  an  expenditure  of  energy. 
When  the  body  is  raised  approximately  14  meters  per  minute  during 
running,  it  may  be  readily  computed  that  with  a  man  weighing  70 
kilograms,  this  would  be  equivalent  to  raising  980  kilograms  one  meter 
in  one  minute  corresponding  to  over  2.2  large  calories.  Any  type  of 
locomotion,  therefore,  which  minimizes  the  raising  of  the  body  is  the 
most  economical.  As  a  natural  outcome  of  the  study  it  will  be  seen 
that  it  would  be  desirable  for  athletes  and  others  interested  in  the  work 
of  forward  progression  to  develop  a  gait  which  will  eliminate  these  two 
apparently  unnecessary  and  extraneous  factors,  each  of  which  requires 
the  expenditure  of  a  considerable  amount  of  energy  which  is  not 
directly  contributory  to  the  motion  of  forward  progression. 

NUTRITION  LABORATORY  OF  THE 

CARNEGIE  INSTITUTION  OF  WASHINGTON. 
Boston,  Massachusetts,  June  19,  1915. 


MBL/WHOI   LIBRARY 


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