Skip to main content

Full text of "Heredity in the light of recent research"

See other formats


The  Cambridge  Manuals  of  Science  and 
Literature 


HEREDITY 


CAMBRIDGE    UNIVERSITY    PRESS 

ftOlltttin:    FETTER   LANE,   E.G. 

C.    F.    CLAY,    Managkr 


CHtjinbuigb :    loo,   PRINCES   STREET 

ILontion:   WILLIAM   WESLEY  &   SON,   28,    ESSEX   STREET,   STRAND 

JSerlin:    A.  ASHER  AND  CO. 

ILeipMg:    F.   A.    BROCKHAUS 

ip.cto  ]imi;:    G.  P.  PUTNAM'S  SONS 

33ombag  nntj  dakutta:     MACMILLAN  AND  Co.,  Ltd. 


A//  rights  reserved 


QH 
DCS 


First  Edition  1910 

Reprinted  1911 

Second  Edition  1912 


/FzV/5  /)4(?  exception  of  the  coat  of  arms  at 
the  foot,  the  design  on  the  title  page  Is  a 
reproduction  of  one  used  by  the  earliest  known 
Cambridge  printer  John  Slberch  1 5  2 1 


PREFACE 

IN  a  book  of  the  size  to  which  the  Cambridge 
Manuals  of  Science  and  Literature  are  limited,  it 
is  plainly  impossible  to  treat  in  detail  every  aspect  of 
a  subject  like  Heredity.  One  of  the  chief  difficulties, 
therefore,  which  I  have  encountered  in  preparing  this 
little  book  has  been  to  decide  what  to  leave  out.  To 
some  it  will  doubtless  seem  that  parts  of  the  subject 
have  been  treated  too  fully,  and  other  important 
branches  omitted  or  barely  mentioned,  but  my  aim 
has  been  to  give  the  reader  a  sketch  of  the  most 
important  lines  in  which  recent  advances  have  been 
made.  There  are  many  excellent  works  dealing  with 
the  older  theories — and  in  this  subject  age  is  measured 
by  very  few  years, — but  our  knowledge  has  increased 
so  greatly  and  is  still  progressing  so  quickly  that 
books  become  out  of  date  almost  as  soon  as  they  are 
published.  My  attempt,  then,  has  been  to  deal  chiefly 
with  the  quite  modern  developments  of  the  subject, 
and  in  order  that  the  reader  who  is  not  very  familiar 
with  the  matter  may  feel  he  is  on  fairly  sure  ground, 


vi  PREFACE 

and  not  confuse  fact  with  speculation,  I  have  tried  to 
avoid  purely  speculative  questions  in  the  body  of  the 
book,  and  have  devoted  a  few  pages  to  one  of  the  most 
interesting  of  these  in  an  appendix,  together  with  a 
historical  summary  of  Theories  of  Heredity.  There 
are  many,  of  course,  who  will  regard  parts  of  the 
chapters  dealing  with  Mendelism  as  consisting  largely 
of  speculation  ;  I  can  only  reply  that  I  regard  the 
facts  referred  to  as  established,  and  the  theoretical 
deductions  from  them  as  the  only  ones  that  have 
yet  been  offered  which  can  fit  them  adequately. 

No  attempt  has  been  made  to  quote  authorities 
for  every  statement,  but  a  list  of  books  and  papers  is 
given  in  which  a  further  account  will  be  found  of  the 
subjects  treated.  The  numbers  in  square  brackets  [  ] 
in  the  text  refer  to  this  list.  I  have  also  followed 
the  example  set  by  Mr  Lock  in  providing  a  glossary 
of  unfamiliar  terms  of  which  the  use  has  been 
unavoidable. 

For  the  chapter  on  Statistical  Study  of  Inherit- 
ance my  chief  sources  of  information  have  been 
Prof.  Pearson's  Grammar  of  Science  and  his  numerous 
papers  on  the  subject  published  by  the  Royal  Society 
and  in  Biometriha.  I  have  tried  to  summarise  in 
words  the  results  of  his  work,  and  of  that  of  other 
workers  on  similar  lines,  and  if  the  inadequacy  of  my 
mathematical  knowledge  has  led  me  into  any  serious 
errors  in  the  attempt,  I  owe  them  my  apologies. 


PREFACE  vii 

Chiefly  of  course  I  am  indebted  to  Prof.  Bateson's 
recent  work  on  Mendel's  Principles  of  Heredity  as 
the  most  complete  and  authoritative  account  of  the 
subject,  from  the  acknowledged  leader  of  the  Men- 
delian  school.  For  permission  to  reproduce  several 
figures  from  this  book  I  tender  my  thanks.  In 
addition  to  information  from  many  original  papers,  I 
have  also  not  hesitated  to  make  use  of  Lock's  Recent 
Progress  in  the  Study  of  Variation,  Heredity  and 
Evolution,  Thomson's  Heredity,  and  some  other 
books  dealing  with  the  general  aspects  of  the  subject ; 
to  these  authors,  and  to  several  friends  who  have 
been  kind  enough  to  give  me  written  information 
on  matters  with  which  they  are  especially  conversant, 
I  wish  to  record  my  indebtedness.  I  wish  also 
especially  to  thank  Mrs  A.  C.  Seward  for  drawing 
the  sections  of  Primula  reproduced  in  fig.  10 
(p.  81). 


L.  DONCASTEPu 


Cambridge, 
June  1910. 


CONTENTS 

CHAP. 

I.  Introduction.     Relation  of  Heredity  to  other  branches  of 

knowledge.— The  questions  to  be  answered .  page  1 

II.  Variation.     Occurrence  and  kinds  of   Variation. — Con- 

tinuous variation  and  methods  of  study. — Discontinuous 
variation. — Inborn  and  acquired  characters        .  7 

III.  The   Causes   of  Variation.    Mutation. — Action  of  en- 

vironment on  body  and  germ-cells. — Variation  on  cross- 
ing.— Relative  importance  of  'inherent'  and  'acquired' 
characters 22 

IV.  The  Statistical  Study  of  Heredity.     Two  methods  of 

studying  Heredity. —The  biometrical  method. — Corre- 
lation and  Regression. — Parental  correlation  and  the 
Law  of  Ancestral  Heredity. — Heredity  in  'pure  lines' 
(Johannsen  etc.). — Inheritance  of  'mental  and  moral' 
characters  in  Man. — Eugenics      ....         32 

V.  Mendelian  Heredity.     Mendel's  Law  illustrated.— Segre- 

gation and  Allelomorphism. — Crosses  concerning  more 
than  one  pair  of  characters. — Examples  of  Mendelian 
characters  in  Plants  and  Animals. — Combs  of  Fowls. — 
The  Andalusian  Fowl 52 

VI.  Mendelian    Heredity    {continued).      The   Inheritance 

of  Colour.     Concurrence  of  two  factors  in  the  pro- 


X  CONTENTS 

CHAP. 

duction  of  Colour.— Colour  in  Animals ;  some  coloure 
'epistatic'  over  others.— Flower-colours ;  Reversion  on 
crossing. — The  nature  of  albinism. — More  complex  cases 
of  interrelation ;  Stocks,  Primulas         .        .        .        71 

VII.  Some    Disputed    Questions.     Mendelian  segregation.— 

Inheritance  of  acquired  characters. — Indirect  and  ex- 
perimental evidence.  —  Telegony.  —  Maternal  Impres- 
sion          85 

VIII.  Heredity  in  Man.     Physical  and  Mental  Characters.— 

Diseases.— Mendelian  Characters;  Eye-colour,  Brachy- 
dactyly,  abnormalities  of  the  Bye.  —  Non-Mendelian 
characters;  Skin  and  Hair-colour.  —  Importance  of 
Heredity  in  relation  to  Sociology        .        .        .       101 

IX.  Heredity  and  Sex.  Secondary  sexual  characters.— 
Dominance  altered  by  Sex. — Sex-limited  inheritance; 
the  Currant  Moth,  Fowls,  the  &j  DrosophUa.— Sex-limited 
affections  in  Man ;  Colour-blindness,  Night-blindness  and 
Haemophilia. — Sex  inherited  as  a  Mendelian  character. — 
Sexual  Dimorphism 119 

Appendix  I.  Historical  Summary  of  Theories  of  Heredity. 
Lamarck.— Darwin  and  the  Theory  of  Pangenesis.— 
Weismann's  Theory  of  Germ-Plasm      .        .         .135 

Appendix  II.  The  Material  Basis  of  Inheritance.  The 
Nucleus  and  Chromosomes  as  possible  'bearers'  of 
Heredity.  Behaviour  of  Chromosomes  in  Germ-cell 
formation 145 

Literature  List l-j' 

Glossary 1^^ 

Index ^^^ 


CHAPTER  I 

INTRODUCTION 

During  the  whole  history  of  scientific  enquiry, 
one  of  the  most  fascinating  and  at  the  same  time  one 
of  the  most  baffling  of  the  problems  which  confront 
mankind  has  been  the  cause  of  the  resemblances  and 
differences  between  parents  and  children.  In  general, 
the  facts  are  common  knowledge;  the  essence  of 
Heredity  and  Variation  is  expressed  in  the  proverbs 
'  Like  begets  like  '  and  *  Nature  never  uses  the  same 
mould  twice.'  Yet  clearly  the  two  proverbs  are  con- 
tradictory, for  if  like  really  begets  like  Nature  must 
use  the  same  mould  for  all  the  members  of  a  family. 
Our  object  therefore  is  to  investigate,  first,  how 
the  characters  of  a  parent  actually  are  distributed 
among  the  children,  and  how  the  offspring  of  the  same 
parentage  may  differ  among  themselves ;  and  secondly, 
if  possible,  what  is  the  mechanism  by  which  the  re- 
semblances and  diversities  are  brought  about. 

These  problems  are  interesting  from  various  points 
of  view.     They  attract  us  for  their  own  sake,  as  does 

D.  I 


2  HEREDITY  [ch. 

anything  mysterious  or  unexplained  ;  tbey  have  a 
deep  human  and  practical  importance,  for  not  only 
do  they  affect  us  all  individually,  but  upon  their 
solution  depends,  to  an  extent  as  yet  only  dimly 
realised,  the  answer  to  some  of  our  most  pressing 
social  questions ;  and  finally  they  lie  at  the  very  root 
of  all  theories  of  organic  evolution,  so  that  they  form " 
as  it  were  the  basis  of  philosophical  biology.  The 
relation  of  the  study  of  Heredity  and  Variation  to 
sociology  must  be  left  to  a  later  chapter,  but  before 
proceeding  further  we  must  shortly  consider  its  bearing 
on  theories  of  evolution. 

The  fact  of  organic  evolution  is  admitted  by  all 
schools  of  biology,  but  about  the  causes  of  the  pro- 
cess and  the  manner  in  which  it  takes  place  there  is 
still  wide  diversity  of  opinion.  To  some  of  the  more 
important  theories  of  evolution  it  will  be  necessary 
to  refer  again  later,  but  however  great  may  be  the 
difference  of  opinion  with  regard  to  them,  all  biologists 
agree  that  evolution  depends  ultimately  on  Variation 
and  Heredity.  Darwin  called  his  great  book  The 
Origin  of  Species  because  the  unit  step,  so  to  speak, 
on  the  scale  of  evolution  is  the  transition  from  one 
species  to  another.  But  if  a  species  A  is  to  give  rise 
to  a  species  B,  in  the  first  place  some  individuals  of  A 
must  vary  in  the  direction  of  B,  and  then  the  variation 
must  be  inherited,  for  otherwise  no  permanent  change 
can  take  place.  The  differences  with  regard  to  the  cause 


I]  INTRODUCTION  3 

and  method  of  evolution  arise  therefore  partly  from 
our  ignorance  of  the  laws  of  variation  and  heredity, 
and  partly  from  different  ideas  as  to  the  causes  which 
lead  to  progression  in  certain  directions  rather  than 
in  others.  This  latter  source  of  disagreement  is  to  a 
large  extent  outside  the  province  of  this  book,  but 
the  subjects  of  Heredity  and  Variation  are  so  inti- 
mately bound  together  that  one  cannot  be  adequately 
treated  without  the  other.  If,  however,  we  can  come 
to  any  definite  decision  with  regard  to  the  nature  of 
Heredity  and  Variation,  we  shall  have  made  a  long 
step  towards  understanding  the  method  by  which 
evolution  has  taken  and  is  taking  place. 

One  other  point  must  be  mentioned.  The  study 
of  heredity  brings  us  face  to  face  with  perhaps  the 
most  fundamental  problem  of  biology — the  ultimate 
nature  of  living  matter.  For  if  an  ovum,  barely 
visible  to  the  eye,  or  the  much  smaller  spermatozoon 
which  is  visible  only  with  high  magnification,  can 
bear  potentially  all  the  parental  characters  which 
may  be  inherited  by  the  offspring,  it  is  clear  that 
any  hypothesis  of  the  nature  of  living  matter  must 
take  these  things  into  account ;  and  though  we 
cannot  unravel  or  even  imagine  it,  we  can  at  least 
get  some  idea  of  the  amazing  complexity  of  the 
substances  which  in  thoughtless  moments  we  group 
together  under  the  single  name  of  'protoplasm.' 

1—2 


4  HEREDITY  [ch. 

We  will  now  attempt,  by  means  of  a  few  examples, 
to  illustrate  some  of  the  questions  which  must  be 
answered,  and  some  of  the  facts  which  must  be 
brought  into  relation,  by  any  consistent  account 
of  the  process  of  heredity.  A  tall  man  on  the 
average  has  taller  children  than  a  short  man,  but 
if  all  the  sons  of  a  number  of  tall  men  were  measured, 
it  would  be  found  that  they  showed  every  gradation 
in  height  between  the  tallest  and  shortest ;  some 
would  be  taller  than  the  fathers,  others  shorter,  but 
every  gradation  between  them  would  occur.  Also, 
if  a  tall  man  marries  a  short  wife,  the  sons  are  neither 
all  as  tall  as  the  father,  nor  divided  sharply  into  a  tall 
group  and  a  short  group  ;  again  they  make  a  graded 
series  from  short  to  tall.  But  if  we  cross  a  tall 
variety  of  the  sweet-pea  with  a  dwarf  variety,  all 
the  offspring  are  as  tall  as  the  tall  parent,  and  among 
the  offspring  of  these  crossed  tails,  some  are  tall  and 
some  short,  but  none  are  intermediate.  Here  then 
we  get  two  distinct  modes  of  inheritance,  and  also 
two  kinds  of  variation ;  in  the  first  case  the  character 
varies  in  such  a  way  that  all  intermediates  are  found 
between  the  extreme  conditions,  and  in  the  second 
the  individuals  can  be  classified  sharply  into  two 
groups.  Again,  we  cross  a  white  mouse  or  rabbit 
with  a  black  one,  and  all  the  offspring  may  have  the 
grey-brown  colour  of  the  wild  animal — we  have  pro- 
duced what  is  called  reversion  to  the  wild  type,  and 


I]  INTRODUCTION  6 

have  obtained  a  form  different  from  either  parent. 
But  if  we  mate  the  same  black  parent  with  another 
white  individual,  it  may  happen  that  all  the  offspring 
are  black,  and  instead  of  reverting  to  the  wild  form 
they  all  follow  one  parent.  If  either  the  greys  or 
blacks  produced  in  this  way  are  mated  together^ 
some  of  their  young  will  be  white ;  although  none 
of  the  children  of  the  original  white  individual 
resembled  their  white  parent  in  colour,  yet  the  white 
has  appeared  again  among  the  grandchildren  after 
skipping  a  generation.  In  man,  a  colour-blind  father 
rarely  has  colour-blind  children,  but  some  of  his 
nephews  and  male  grandchildren  through  the  female 
line  are  usually  affected ;  that  is  to  say,  the  disease 
appears  in  males  but  is  transmitted  by  females. 

It  is  clear  from  this  short  list  of  examples  that 
there  are  a  number  of  different  forms  of  hereditary 
transmission,  and  our  object  must  be,  first  to  classify 
them  into  groups  in  which  the  behaviour  is  similar, 
and  next  to  attempt  to  bring  them  under  a  common 
scheme.  And  it  is  also  clear  that  the  different  kinds 
of  heredity  are  associated  with  different  kinds  of 
variation  ;  for  example  variation  in  height  in  man  is 
inherited  diffferently  from  variation  in  colour-vision, 
and  both  differ  fi'om  variation  of  coat-colour  in 
rabbits,  in  their  inheritance. 

A  question  of  a  different  kind  is  the  cause  of 
inherited  diff'erences,  and  whether  differences  due  to 


6  HEREDITY  [ch.  i 

the  action  of  circumstances  are  inherited.  Does  a 
man,  for  instance,  who  develops  certain  muscles  by 
frequent  use,  or  who  injures  his  health  by  excessive 
drinking,  have  children  with  larger  muscles  or  poorer 
health  in  consequence?  The  question  is  frequently 
answered  in  the  affirmative,  but  it  is  part  of  the 
province  of  the  study  of  heredity  to  investigate  the 
matter,  and  in  these  and  all  other  cases  to  decide 
not  only  whether  a  character  is  inherited,  but,  if  it  is, 
to  what  extent  and  in  what  manner  it  will  appear  in 
the  offspring. 


CHAPTER  II 

VARIATION 

We  have  seen  that  the  subjects  of  Heredity  and 
Variation  are  so  closely  connected  that  one  cannot 
be  considered  apart  from  the  other,  for  without 
variation  all  the  offspring  of  the  same  parents  would 
be  exactly  alike,  and  the  study  of  heredity  would 
resolve  itself  into  an  investigation  of  the  cause  of 
this  likeness.  But  the  actual  problem  is  much  less 
simple ;  it  includes  the  questions  how  and  why  the 
members  of  a  family  may  differ  from  one  another, 
and  according  to  what  rules  and  by  what  means 
these  differences  are  transmitted  to  later  generations. 
In  practice  therefore  the  study  of  heredity  is  the 
study  of  the  manner  and  cause  of  the  inheritance  of 
variations,  and  hence  the  nature  ^of  variation  must 
be  examined   before  enquiry  into  its  transmission. 

Before  the  time  of  Darwin  variations  were  fre- 
quently regarded  as  abnormalities,  inconvenient  to 
the  systematist  and  of  relatively  small  importance. 
Every  species  was  supposed  to  conform  to  the  type 


8  HEREDITY  [ch. 

originally  created,  and  divergences  from  this  type 
were  regarded  as  imperfections.  But  it  was  obvious 
that  there  was  always  more  or  less  fluctuation  about 
the  type  in  different  individuals,  and  breeders  of 
plants  and  animals  made  use  of  this  want  of  uni- 
formity to  select  the  best  specimens  and  so  to 
improve  the  race.  The  Natural  Selection  theory 
of  Darwin  and  Wallace  supposes  that  a  process 
comparable  with  this  takes  place  in  nature,  and  so 
brings  about  the  adaptations  of  natural  species. 

Of  the  causes  which  induce  variation  nothing 
definite  was  known,  but  Darwin's  belief  was  generally 
accepted  that  it  is  due  to  changes  in  environment 
acting  directly  or  indirectly  on  the  organism.  He 
regarded  the  action  of  such  changes  as  cumulative 
through  a  number  of  generations,  so  that  its  effect 
in  producing  variation  might  not  be  visible  until  the 
change  had  acted  on  several  generations.  This  belief 
was  founded  on  the  observation  that  animals  bred 
in  captivity  appear  to  be  much  more  variable  than  in 
the  wild  condition,  and  the  changed  conditions  of 
life  are  supposed  to  induce  the  variation.  But  species 
in  nature  are  not  by  any  means  subject  to  uniform 
environment,  and  thus  their  variability  was  ascribed 
to  similar  causes. 

Darwin  and  Wallace  pointed  out  that  variation 
occurs  in  all  parts  of  every  species,  that  it  appears 
to  occur  in  every  possible  direction,  and  to  every 


a]  VARIATION  9 

extent  from  very  small  to  considerable  range.  They 
therefore  founded  their  theory  on  this  type  of 
variability  rather  than  on  the  occurrence  of  con- 
siderable 'occasional  variations'  which  are  not 
connected  with  the  type  by  a  series  of  intermediates. 
It  was  not,  however,  until  after  the  theory  of 
Natural  Selection  had  obtained  general  recognition, 
that  any  detailed  study  was  undertaken  of  the  actual 
frequency  and  extent  of  variation,  and  its  mode  of 
occurrence. 

The  accurate  investigation  of  variation  has  thus 
been  in  progress  only  for  some  twenty  or  twenty-five 
years,  and  according  to  the  methods  adopted  students 
have  become  divided  into  two  somewhat  distinct 
schools.  One  of  these  has  devoted  itself  rather  to 
the  attempt  to  observe  and  classify  the  different 
kinds  of  variation,  and  the  other,  generally  called 
the  '  biometrician '  school,  to  measure  its  frequency 
and  range.  It  will  be  convenient  to  consider  the 
results  obtained  by  the  second  method  first 

If  a  character  is  chosen  which  can  be  accurately 
measured,  such  as  human  stature,  and  a  sufficiently 
large  number  of  individuals  are  observed,  it  will 
commonly  be  found  that  there  is  considerable  range 
of  variation,  and  that  every  gradation  in  size  occurs 
between  the  smallest  and  largest.  Such  variation  is 
spoken  of  as  'continuous/  as  opposed  to  'discontinu- 
ous' Tariation  in  which  individuals  of  two  kinds  occur, 


10 


HEREDITY 


[CH. 


which  are  not  connected  by  intermediates.  Further, 
in  cases  of  continuous  variation  it  will  appear  that 
one  size  is  more  common  than  any  other,  and,  in  the 
simplest  cases,  that  the  individuals  are  progressively 
rarer  as  the  size  of  the  structure  considered  diverges 
more  and  more  from  the  most  frequent  value.  The 
most  frequent  condition  is  named  the  '  mode,'  and  its 


76 

75 

74 

«73 

72 

71 

70 

«69 

JC68 

g67 

•-■66 

65 

64 

63 

62 

61 


X 

1 

7\ 

79 

^ 

71 

> 

jo^ 

-^^ 

69 

68 

•^ 

67 

^ 

— — 

1 

~^_§^ 

1 

65^ 

'-I 

6 

^ 

i 

61 

/ 

1 

/ 

1 

1 

' 

_ 

_ 

I 



300 


400 


500    600 


700 


800 


900   100O 


Fig.  1.  Curve  illustrating  stature,  the  vertical  scale  representing 
heights  above  60  inches,  the  horizontal  scale  numbers  of  indi- 
viduals who  are  supposed  to  be  placed  side  by  side  in  order  of 
their  height. 

size  the  'modal  value'  for  the  character.  For  ex- 
ample, if  the  heights  of  a  large  number  of  men  were 
measured,  it  might  be  found  that  they  ranged  by 
every  gradation  from  60  to  7Q  inches.  If  the  measure- 
ments were  taken  to  the  nearest  inch,  it  might  then 
be  found  that  a  greater  number  had  a  stature  of 
68  inches  than  any  other  height,  that  the  next  most 


II]  VARIATION  11 

frequent  heights  were  67  and  69  inches,  and  that  the 
more  the  stature  differed  from  68  inches  in  either 
direction,  the  fewer  would  be  the  men  having  that 
measurement.  This  could  be  represented  graphically 
by  arranging  vertical  lines  representing  the  heights 
of  every  man  in  order  of  their  height;  a  line  joining 
their  tops  would  then  rise  rapidly  at  the  lower  end, 
would  be  nearly  flat  as  it  passed  over  the  men  having 
heights  near  the  'modal  value'  of  68  inches,  and 
would  rise  again  steeply  to  the  exceptionally  tall 
men  at  the  upper  end  of  the  row  (fig.  1).     [13]^ 

A  more  instructive  method  of  graphically  repre- 
senting the  distribution  of  variation  is  to  take  a  base- 
line and  divide  it  into  equal  parts,  each  representing 
an  equal  increment  in  the  structure  measured.  From 
each  division  of  the  base-line  a  vertical  line  is  drawn 
representing  by  its  length  the  number  of  individuals 
having  that  measurement. 

In  the  imaginary  case  taken  above,  the  base-line 
would  have  17  divisions  representing  successive 
heights  of  from  60  to  7Q  inches;  at  each  division 
a  vertical  line  is  drawn  which  by  its  length  repre- 
sents the  percentage  of  the  population  which  have 
that  height  (fig.  2).  By  joining  the  tops  of  the  per- 
pendiculars (ordinates)  a  curve,  or  more  strictly  a 
polygon,  is  obtained  which  graphically  represents  the 

1  For  references  see  the  end  of  the  Volume. 


12 


HEREDITY 


[CH. 


distribution  of  the  variation  among  the  population 
measured.  The  highest  point  of  the  curve  represents 
the  mode  for  the  character,  and  the  extremes  of 
variation  are  where  it  touches  the  base-Hne.  The 
more  numerous  are  the  subdivisions  into  wliich  the 


180 
170 

" 

, 

— 

— 

— 

— 





160 
150 

> 

. 

■« 

\i 

/ 

\ 

"2  140 

/ 

\ 

gi30 
O  120 

,? 

\ 

j 

\ 

1 

1 

/ 

\ 

^  no 

1 

1 

/ 

\ 

u  100 

— 

/ 

\ 

a; 

O.   90 

1 

0) 

\ 

/ 

11 

>>   80 

1 

o 

\    . 

•o 

\ 

g    70 
3     60 

1 

«i 

§ 

\ 

1 

A 

\ 

<U    50 

i 

/ 

V 

(I.    40 

1 

/ 

t 

\ 

30 

i 

f 

f 

\ 

K 

20 

/ 

' 

, 

1 

< 

10 

i? 

A 

i^ 

\ 

__. 

* 

•* 

•* 

A 

■^  1 

—5 

-^ 

^^ 

'* 

•X 

-* 

s 

^ 

(h 

a 

2  6 

3   5 

4  6 

5   5 

S  5 

!  5 

i   0 

3  6 

0  6 

1  62 

63  C 

i  6 

5  6E 

1    6 

7  6 

3  & 

9   7 

D   7 

<   t. 

!   7 

3  7 

»  7v 

>    7 

3    77  78    79 

Stature  in  Inches 

Fig.  2.  Curves  showing  distribution  of  stature  in  women  (mothers) 
—dotted  line ;  and  in  men  (fathers)— continuous  liue.  The  curves 
approach  the  'normal  curve.'     (Data  from  Pearson. ) 


variable  character  is  classified,  tlie  more  nearly  the 
line  joining  the  tops  of  the  ordinates  will  approxi- 
mate to  a  smooth  curve  ;  e.g.  if  the  population  were 
measured  to  the  nearest  quarter  of  an  inch  instead 
of  to  the  nearest  inch   there  would  be   four  times 


II]  VARIATION  13 

as  many  ordinates  and  the  curve  would  be  nearly 
smooth. 

It  is  clear  that  a  curve  of  this  kind  can  be  used 
for  comparing  the  variability  of  different  characters, 
for  the  greater  the  variability  of  the  population  the 
wider  Avill  be  the  base  ;  consequently  the  curve  for 
a  very  variable  character  will  be  relatively  low  and 
wide,  that  for  a  slightly  variable  one  measured  in  the 
same  scale  will  be  tall  and  steep.  A  curve  of  this 
kind,  which  is  quite  similar  on  either  side  of  the 
longest  perpendicular  ('median,'  representing  the 
modal  value),  may  be  obtained  by  plotting  any 
measurements  which  vary  fortuitously  around  a  most 
frequent  value,  and  such  a  curve  is  called  a  '  normal 
curve.'  For  example,  if  a  large  number  of  beans  in- 
cluding equal  numbers  of  white  ones  and  black  ones 
were  placed  in  a  sack,  and  drawn  out  ten  at  a  time 
without  selection  of  colour,  most  frequently  five  white 
and  five  black  would  be  drawn,  less  often  six  of  one 
colour  and  four  of  the  other,  more  rarely  seven  and 
three  and  so  on  to  the  rarest  case  of  ten  of  one  colour. 
If  the  numbers  of  white  beans  in  a  draw  are  plotted 
along  the  base-line,  and  the  ordinates  represent  the 
number  of  draws  for  each  combination,  a  polygon 
approaching  the  normal  curve  will  be  obtained. 
Variation  which  gives  a  normal  curve  when  plotted 
in  this  way  is  spoken  of  as  normal  variation. 

As  mentioned  above,  the  steepness  of  the  curve  is 


14  HEREDITY  [oh. 

a  measure  of  variability,  and  this  can  be  expressed 
by  taking  a  point  in  the  curve,  the  perpendicular 
from  which  to  the  base-line  divides  the  area,  enclosed 
by  the  curve,  the  median  and  the  base-line,  into  two 
equal  parts.  Or,  differently  expressed,  the  perpen- 
dicular divides  the  curve  in  such  a  way  that  the 
number  of  individuals  between  it  and  the  mean  is 
the  same  as  that  between  it  and  the  extreme.  The 
distance  of  this  perpendicular  may  be  used  as  a 
measure  of  the  variability  of  the  character  considered, 
for  clearly  the  greater  the  variability  (and  thus  the 
flatter  the  curve),  the  further  this  perpendicular  will 
be  from  the  median  \ 

In  many  variable  characters,  the  frequency  of 
variation  below  the  mode  is  not  exactly  equal  to 
that  above  it,  in  which  case  the  curve  will  be  steeper 
on  one  side  of  the  mode  than  on  the  other,  and  the 
average  value  for  the  character  ('mean')  will  not  be 
identical  with  the  mode.  For  example,  if  the  varia- 
tion in  the  number  of  children  in  a  family  were 
plotted  in  this  way,  the  sizes  of  families  would  range 
from  0  to  about  20,  but  the  most  frequent  number 
would  perhaps  be  four.     Four  would  then   be  the 

^  In  practice,  not  this  perpendicular,  bat  another  rather  further 
from  the  median  is  used,  which  for  practical  purposes  is  more  con- 
venient. The  distance  of  this  perpendicular,  measured  in  units  of 
the  horizontal  scale,  is  called  the  'standard  deviation'  and  is  regu- 
larly employed  as  a  measure  of  variability. 


11] 


VARIATION 


15 


modal  value,  but  the  average  or  meau  might  be  about 
six  ;  the  curve  would  rise  steeply  to  the  mode,  and 
fall  away  more  gradually  to  the  maximum  number 
(fig.  3).     Such  a  curve  is  described  as  'skew.'     In 


\ 


500 


•400 

>> 
u 

a 
g  300 

IT 
V 


200 


1 

\ 

1 

1 

\ 

■ 

\ 

] 

1 

) 

\ 

: 

N 

\ 

j 

1 

\ 

\ 

I 

S 

s 

\ 

!:- 

«T-) 

•r^. 

f=!! 

O  1  2  3  4  5  6  7  8  9  10  11  1?  13  14 15  16  17  18  19  20  21  22  23  2425 

Size  of  Family 
Fig.   3.     Curve   showing  distribution  of  size  of    3837   families    in 
America  containing  deaf-mutes.     (After  Schuster,   '  Hereditary 
Deafness.'     Biometrika,  Vol.  iv.  1906,  p.  474.) 

extreme  cases  the  mode  is  at  one  end  of  the  curve, 
when  variation  takes  place  only  on  one  side  of  it, 
e.g.  in  the  marsh-marigold,  the  most  frequent  number 
of  'petals'  is  five,  but  there  may  rarely  be  six,  seven 
or  eight,  but  practically  never  less  than  five,  so  that 
in  plotting  the  frequency  a  '  half-curve '  is  obtained 
(fig.  4). 


16 


HEREDITY 


[CH. 


Another  rather  frequent  condition  is  that  the 
curve  has  two  maxima  or  modes  (fig.  5),  indicating 
that  a  large  number  of  individuals  have  a  low  measure- 
ment, a  less  number  are  intermediate,  and  again  a 
larger  number  have  a  higher  measurement  Species 
which  vary  in  this  way  are  called  '  dimorphic/  or  if 


300 


aoo 


100 


5  6  7  8 

Eig.  4.     '  Half-cnrve  '  representing  the  number  of  '  petals  '  on  416 
flowers  of  the  marsh-marigold  {Caltha  palustrls).    (After  de  Vries.) 


there  are  more  than  two  peaks  to  the  curve,  'poly- 
morphic' Further,  it  is  possible  that  the  two  parts 
of  the  curve  should  be  entirely  separate,  if  inter- 
mediates between  the  low  and  high  groups  are 
completely  wanting.  This  type  of  variation  is  spoken 
of  as  '  discontinuous '  in  contrast  to  the  '  continuous ' 


n] 


VARIATION 


17 


variation  hitherto  considered.  It  is  possible  that 
dimorphic  cases  in  which  intermediates  exist  are 
really  essentially  discontinuous,  but  that  the  two 
groups  into  which  the  species  is  divided  each  exhibit 
continuous  variation  about  the  mode  for  the  group, 
to  such  an  extent  tliat  the  higher  members  of  one 


140 

ISO 

120 

110 

100 

90 

80 

70 

60 

50 

40 

30 

20 

10 


i 

^ 

It 

IT 

tX               ^V 

m          4A 

rjZA          li: 

J    X            t    A 

4     t     -.-'      V 

t     t     2       ^ 

t     \  J-        X 

t     A^^          ^ 

r                '^ 

Lengths  of  Forceps  in  Millimetres 

Fig.  5.  Curve  with  two  modes,  representing  frequency  of  lengths 
of  forceps  of  male  Earwigs  from  the  Fame  Islands.  (After 
Bateson.) 

group  overlap  the  lower  of  the  other.  For  example, 
if  the  modal  (most  frequent)  stature  for  a  race  of 
men  were  68  inches,  and  for  the  women  62  inches,  it 
might  happen  that  on  plotting  a  frequency  curve  for 
the  stature  of  adults  including  both  sexes,  a  curve 
D.  2 


18  HEREDITY  [ch. 

would  be  obtained  having  two  maxima,  one  near  62 
and  another  near  68.  Yet  the  stature  might  be  a 
definite  sexual  character,  and  hence  essentially  as 
discontinuous  as  the  sexes  themselves.  This  distinc- 
tion between  continuous  and  discontinuous  variation 
may  seem  unimportant  in  itself,  but  when  its  in- 
heritance is  considered  the  distinction  becomes  of  the 
first  importance. 

Clearer  examples  of  discontinuous  variation  are 
given  by  such  characters  as  colour,  or  by  organs 
which  are  repeated  in  series,  such  as  vertebrae  and 
ribs,  the  segments  of  a  worm  or  the  petals  of  a 
flower.  When  variation  occurs  in  this  latter  group 
it  is  generally  complete,  so  that  the  different  forms 
are  visibly  discontinuous.  In  the  case  of  colour  in 
the  skin  or  hair  in  animals,  or  petals  of  flowers, 
discontinuity  is  sometimes  less  apparent,  and  grading 
frequently  occurs,  but  even  in  apparently  graded 
cases  the  inheritance  of  the  character  may  often 
reveal  discontinuity.  For  example,  a  piebald  animal 
might  be  thought  to  be  intermediate  between  the 
fully-coloured  and  albino  (white  with  no  pigment), 
but  breeding  tests  would  at  once  show  that  piebald- 
ness  was  an  independent  character,  which  cannot  be 
regarded  as  in  any  sense  intermediate  between  the 
other  two  conditions  except  in  general  appearance. 
The  same  applies  to  such  cases  as  the  '  silver '  cat  or 
rabbit,  or  the  pale  purple  sweet-pea  ;  the  cause  of 


II]  VARIATION  19 

the  pale  colour  is  entirely  distinct  from  the  cause 
of  the  absence  of  pigment  in  the  white  varieties  of 
those  species. 

The  recognition  of  the  importance  of  discontinuity 
in  variation,  which  we  owe  chiefly  to  the  work  of 
Bateson  in  England  and  De  Vries  in  Holland,  is  one 
of  the  chief  advances  which  the  study  of  the  subject 
has  made  since  the  time  of  Darwin. 

One  other  distinction  between  different  kinds  of 
variation  must  be  mentioned  here,  which  will  be 
discussed  more  fully  in  subsequent  chapters.  The 
kinds  of  variation  mentioned  above  are  all  inborn,  or 
inherent  in  the  individual  and  to  a  great  extent  in- 
dependent of  its  manner  of  life.  But  it  is  well  known 
that  the  continued  use  of  an  organ  or  structure,  or  the 
prolonged  action  upon  it  of  some  external  stimulus, 
may  alter  its  form  or  cause  it  to  assume  a  condition 
different  from  that  which  it  would  have  had  if  these 
influences  had  not  acted.  In  general,  an  organ  tends 
to  adapt  itself  either  to  the  uses  to  which  it  is  put  or 
to  the  action  of  the  environment  which  surrounds  it. 
The  muscles  of  a  limb  used  for  strenuous  work  in- 
crease in  size  and  strength,  or  a  part  of  the  skin 
continually  exposed  to  bright  light  develops  a  deeper 
colour  than  if  it  is  covered.  The  converse  process  is 
also  true  ;  an  organ  which  is  not  used  or  exposed  to 
its  normal  stimuli  tends  to  diminish,  and  become  less 

2—2 


20  HEREDITY  [ch. 

adapted  to  the  use  to  which  it  is  normally  put.  Such 
characters  as  these,  arising  in  response  to  a  stimulus, 
and  not  appearing  in  its  absence,  are  technically 
called  '  asguired  characters,'  a  phrase  which  it  will  be 
necessary  to  use  rather  frequently  in  the  following 
pages.  As  a  rule,  such  'acquired  characters'  are 
adaptive,  that  is,  they  render  the  organism  or 
structure  better  fitted  to  its  surroundings  than  if 
they  had  not  been  developed.  The  older  students  of 
heredity  never  doubted  that  these  acquired  characters 
were  inherited  as  strongly  as  the  inborn  characters 
discussed  above,  but  since  the  publication  of 
Weismann's  theory  of  heredity  (see  Appendix  I)  with 
the  great  body  of  evidence  which  he  has  collected 
on  the  other  side,  opinion  has  turned  increasingly 
towards  the  belief  that  acquired  variations  are  not 
transmitted.  Weismann  regards  the  germ-cells  as 
essentially  distinct  from  the  rest  of  the  body,  so 
that  acquired  modifications  of  the  body  cannot  be 
transmitted  because  the  germ-cells  are  not  affected. 
The  germ-cells  collectively,  or  rather  that  part  of 
them  which  is  concerned  with  the  transmission  of 
hereditary  characters,  he  calls  '  germ-plasm,'  the  rest 
of  the  body  consisting  of  '  body-plasm '  (or  *  soma '), 
and  he  regards  *  acquired '  modifications  as  affecting 
body-plasm  only.  A  developing  germ-cell  gives 
origin  to  both  germ-plasm  and  body-plasm  of  a  new 


Ii]  VARIATION  21 

individual,  and  hence  characters  borne  by  the  germ- 
plasm  appear  in  the  body ;  but  since  body-plasm 
cannot  be  converted  into  germ-plasm,  modifications 
of  the  body  cannot  be  transmitted  to  offspring. 

The  possible  inheritance  of  acquired  characters  is 
treated  more  fully  in  a  later  chapter. 


r 


CHAPTER  III 

THE  CAUSES  OP  VARIATION 

In  the  last  chapter  the  distinction  has  been 
explained  between  continuous  and  discontinuous 
variation  ;  some  confusion  has  however  arisen  with 
regard  to  the  terms  used  in  describing  these  conditions. 
Continuous  variation  about  a  mean  (or  more  accur- 
ately modal)  condition  is  sometimes  spoken  of  as 
'  fluctuation/  but  as  will  be  seen  below  this  kind  of 
variability  probably  includes  two  very  distinct  groups 
of  facts.  It  may  include  inherent  variability  arising 
in  the  germ-cells,  or  it  may  include  differences  in  the 
adult  condition  having  their  origin  in  different  effects 
of  environment  during  growth.  Some  writers  have 
used  the  word  '  fluctuation '  for  this  latter  condition 
only. 

Discontinuous  variation  is  sometimes  called 
'mutation,'  a  word  which  also  has  been  used  in 
several  senses.  It  may  mean  the  appearance  of  a 
form  varying  discontinuously  from  the  type,  or  it 
may  be  applied  to  the  discontinuous  character  itself. 


OH.  Ill]         CAUSES  OF  VARIATION  23 

A  more  serious  source  of  confusion  is  that  the  term  is 
used  by  some  to  denote  any  discontinuous  variation 
arising  '  spontaneously,'  by  others  for  cases  in  which 
the  variety  differs  from  the  type  in  several  apparently 
distinct  characters,  and  not  only  in  one,  so  that  the 
new  form  constitutes  an  '  elementary  species.'  Since 
in  studying  heredity  it  is  usually  important  to  con- 
sider distinct  characters  separately,  it  may  be  per- 
missible to  use  the  word  for  the  origin  of  a  form 
differing  recognisably  from  the  type  and  not  connected 
with  it  by  true  intermediates. 

It  has  already  been  pointed  out  that  very  little  is 
accurately  known  about  the  causes  of  variation,  and 
it  is  not  impossible  that  the  different  forms  of  varia- 
tion have  different  origins.  Most  writers  agree  that 
the  ultimate  cause  must  lie  in  the  action  of  environ- 
ment in  some  form,  but  as  Darwin  clearly  stated  in 
the  Origin  of  Species  the  environment  may  act 
directly  or  indirectly.  In  variation  of  size  for  ex- 
ample, it  is  clear  that  the  supply  of  nourishment, 
etc.,  during  growth  may  have  considerable  influence 
on  the  size  of  the  adult,  and  such  variation  will 
commonly  be  continuous  owing  to  the  evenly  graded 
action  on  different  individuals.  In  these  cases  the 
action  is  direct.  If,  however,  Weismann's  theory  of 
germ-plasm  and  body-plasm  is  correct,  such  action  may 
affect  only  the  body  and  not  be  transmitted  to  off- 
spring.    It  is  also  possible  that  the  germ-cells  may 


24  HEREDITY  [ch. 

be  indirectly  affected,  giving  rise  to  variation  in  the 
offspring;  in  such  a  case,  however,  there  is  no 
necessity  that  the  effect  on  the  offspring  should  be  in 
any  way  similar  to  the  direct  effect  of  the  conditions 
on  the  parent.  Nothing  is  know^n  of  the  nature  of 
possible  effects  of  environment  on  the  germ-cells ; 
the  action  may  possibly  be  effective  immediately  and 
give  rise  to  variability  in  the  next  generation,  or  it 
may  be  that  the  effects  are  cumulative  and  only  cause 
visible  changes  after  several  generations  have  been 
exposed  to  the  same  influences.  Galton  [13]  suggested 
that  the  organism  may  have  a  certain  *  stability,'  but 
that  influences  acting  for  several  generations  may 
have  a  cumulative  effect  which  will  gradually  alter  the 
equilibrium  until  it  is  finally  upset  and  falls  into  a 
new  condition  of  stability,  giving  rise  to  an  apparently 
sudden  variation.  A  chemical  analogy  may  make  this 
clearer.  If  litmus  is  added  to  an  alkaline  solution  its 
colour  will  be  blue.  Acid  may  now  be  added  drop 
by  drop  to  neutralize  the  alkali,  and  suddenly,  when 
the  solution  becomes  acid,  the  litmus  turns  red. 
Examples  of  variation  of  which  this  may  possibly  be 
an  analogy  will  be  given  below. 

With  regard  to  the  action  of  environment  on  the 
body  many  facts  are  known,  but  it  is  not  certain  that 
they  really  have  any  bearing  on  the  question  of  the 
origin  of  variation.  For  variations  so  produced  are 
'acquired  characters,'   and  in  many  cases  at  least 


Ill]  CAUSES  OF  VARIATION  25 

there  is  no  evidence  that  they  are  inherited.  For 
example,  many  butterflies  have  two  generations  in 
the  year,  one  of  which  lives  through  its  whole  life- 
history  in  the  summer  and  the  other  passes  the  winter 
as  a  pupa  (chrysalis).  In  some  cases  the  two  genera- 
tions are  strikingly  different,  and  it  has  been  shown 
that  by  freezing  the  pupae  of  the  summer  brood  at 
the  right  stage,  specimens  like  the  spring  brood  can 
be  obtained.  The  difference  between  the  two  genera- 
tions is  thus  due  to  the  action  of  cold  on  the  pupa. 
But  the  two  forms  regularly  alternate  in  nature  and 
the  effects  of  cold  are  not  inherited.  In  plants,  some 
species  produce  quite  different  leaves  according  to 
whether  they  are  grown  in  water  or  in  dry  soil,  but 
the  conditions  act  on  the  individual,  and  do  not  affect 
its  progeny.  In  such  a  case,  what  is  inherited  is 
the  faculty  of  making  a  certain  definite  response  to 
definite  conditions,  and  this  faculty  is  present  whether 
the  conditions  operate  or  not.  In  man  such  diseases 
as  tuberculosis  are  commonly  called  hereditary ;  this 
however  does  not  mean  that  the  child  has  the  disease 
because  his  parent  had  it,  but  that  the  parent  had 
a  constitution  liable  to  that  disease,  and  the  child 
inherits  a  similar  constitutional  liability.  If  the 
parent  had  never  been  exposed  to  infection  the 
child  would  still  inherit  the  liability,  for  what  is 
transmitted  is  not  the  disease  or  its  effects,  but  the 
faculty  of  acquiring  it  if  exposed.    It  will  be  found 


26  HEREDITY  •  [ch. 

that  most  cases  which  at  first  sight  seem  to  support 
the  theory  of  the  inheritance  of  acquired  characters 
are  equally  explicable  in  the  view  that  both  parent 
and  offspring  are  susceptible  to  the  action  of  the  ex- 
ternal factor  ;  what  is  inherited  is  not  the  character 
acquired,  but  the  innate  power  of  acquiring  it. 

But  it  is  always  possible  that  some_  forms  of 
external  conditions  may  act  on  both  the  body-cells 
and  germ-cells  concurrently,  and  produce  similar 
efiects  in  each.  For  example,  it  may  happen  that 
extremes  of  temperature  produce  striking  colour- 
variations  in  certain  butterflies.  Weismann  has 
pointed  out  that,  according  to  his  theory,  in  a 
developing  butterfly  the  determinants  for  producing 
colour  not  only  exist  in  the  germ-cells  which  will 
transmit  the  character  to  the  offspring,  but  also  in 
the  embryonic  cells  of  the  body  which  go  to  produce 
the  coloured  parts  of  the  perfect  insect.  If  extremes 
of  heat  or  cold  cause  changes  in  the  colour-deter- 
minants in  the  developing  wings,  so  that  abnormal 
colours  result,  it  is  possible  that  the  determinants 
in  the  germ-cells  which  transmit  the  colour-pattern 
to  the  next  generation  will  be  similarly  modified,  so 
that  the  offspring  will  show  similar  abnormalities. 
This  would  not  be  the  transmission  of  an  'acquired 
character '  in  the  strict  sense  of  the  expression,  but 
the  simultaneous  modification  of  body  and  germ-cells 
in  the  same  manner. 


Ill]  CAUSES  OF  VARIATION  27 

But  as  mentioned  above,  it  is  possible  that  the 
same  factor  acting  on  body  and  germ-cells  may  pro- 
duce different  results  in  the  two  cases,  so  that  the 
individual  on  which  the  influences  have  acted  may 
show  one  modification  and  its  offspring  another.  It 
is  also  possible  that  not  aU  the  germ-cells  will  be 
affected  alike,  and  so  among  the  progeny  some  will 
show  modification  and  others  not,  or  some  may  be 
differently  affected  from  others  ;  for  the  conditions  of 
stability  of  different  germ-cells  may  conceivably  be 
different.  Certain  experiments  on  insects  give  reason 
for  supposing  that  this  is  so.  The  results  obtained  by 
Fischer,  Standfuss  and  others  from  exposing  pupae 
of  butterflies  and  moths  to  abnormal  temperatures, 
while  not  entirely  concordant  among  themselves,  on 
the  whole  indicate  that  moderate  degrees  of  heat  and 
cold  tend  to  alter  in  the  same  way  the  whole  batch  of 
insects  treate<l,  often  in  the  direction  of  varieties  of 
the  species  naturally  occurring  in  warmer  or  colder 
climates.  But  excessive  heat  or  cold  causes  extreme 
variations  among  only  a  small  proportion  of  the 
insects  treated,  and  among  the  offspring  of  these  ab- 
normal specimens  only  a  small  fraction  are  abnormal, 
and  some  of  these  have  not  the  same  abnormality 
as  the  parents.  These  observations,  together  with 
the  fact  that  the  variations  produced  by  heat,  cold, 
and  other  disturbing  factors,  may  all  be  similar, 
suggest  that  extreme  conditions  may  upset  the 
stability  of  the  type,  causing  abnormalities  to  appear. 


28  HEREDITY  [CH. 

and  that  some  of  the  germ-cells  may  also  be  altered, 
but  not  necessarily  in  the  same  manner  as  the  body- 
cells. 

An  American  zoologist,  Tower,  describes  the  pro- 
duction of  mutations  by  the  action  of  environment  in 
a  beetle  (Leptinotarsa).  In  nature  he  found  about 
one  such  variation  among  6000  specimens  ;  when  bred 
in  captivity  -they  were  more  frequent,  but  when  the 
fuU-grown  beetles  were  exposed  to  extremes  of  heat, 
humidity,  etc.,  during  the  maturation  of  the  eggs,  the 
offspring  may  include  a  large  proportion  (over  80  per 
cent.)  of  *  mutations.'  These  were  of  several  distinct 
kinds,  like  those  rarely  found  in  nature,  and  when 
bred  together  they  are  stated  to  breed  true.  In  this 
case  the  abnormal  conditions  produced  no  effect  on 
the  individuals  exposed  to  them,  for  they  already  had 
their  final  form,  but  as  their  eggs  were  matured 
under  these  conditions  the  action  took  effect  on  the 
eggs,  and  mutation  resulted  among  the  offspring. 
When  part  of  the  eggs  of  an  individual  were  matured 
under  abnormal,  another  part  under  normal  con- 
ditions, mutation  occurred  only  among  the  offspring 
in  the  first  case,  all  the  beetles  in  the  second  being 
normal.  It  should  be  noted  that  as  in  the  experi- 
ments with  butterflies  the  effect  of  changed  conditions 
was  not  specific ;  the  same  conditions  may  produce 
more  than  one  kind  of  mutation  in  the  same  batch  of 
eggs,  and  some  eggs  were  not  affected  at  all.  In 
both  cases  the  abnormal  environment  seems  to  upset 


Ill]  CAUSES  OF  VARIATION  29 

the  equilibrium,  but  the  eifects  may  differ  in  different 
individuals.  It  is  the  nature  of  the  organism  or 
germ-cell  affected  which  determines  whether  and 
to  what  extent  the  change  shall  take  place ;  the 
environment  merely  supplies  the  stimulus. 

It  will  be  seen  that  our  knowledge  of  the  causes 
of  variation,  in  so  far  as  these  are  connected  with 
environment,  is  very  incomplete  and  unsatisfactory, 
for  although  it  is  fairly  clear  that  conditions  may 
sometimes  disturb  the  equilibrium  of  the  germ-ceUs 
and  provide  a  stimulus  to  variation,  yet  we  have  no 
knowledge  of  the  way  in  which  the  stimulus  acts 
and  can  make  no  prediction  as  to  the  direction  the 
variation  will  take.  Before  leaving  the  subject,  one 
other  cause  of  variability  must  be  mentioned — the 
effect  of  crossing  different  races  in  producing  varia- 
tion, it  frequently  happens  that  the  result  of 
crossing  distinct  races  is  that  the  crossed  individuals 
differ  from  either  parent ;  sometimes  in  the  direction 
of  increased  vigour,  as  was  pointed  out  by  Darwin, 
and  other  more  recent  observers  ;  sometimes  by  the 
development  of  characters  apparently  not  possessed 
by  either  parent,  as  in  the  case  of  'reversion  on 
crossing.'  The  cause  of  this  latter  phenomenon  will 
be  discussed  in  a  later  chapter.  In  the  subsequent 
generations  from  the  cross  great  diversity  may  often 
appear,  and  Darwin  supposed  that  the  mingling  of 
two  distinct  germinal  stocks  had  an  effect  in  dis- 


30  HEREDITY  [ch. 

turbing  the  equilibrium  similar  to  tbat  produced  by 
change  of  environment.  To  some  extent  this  is 
doubtless  true,  but  recent  developments  of  the 
theory  of  heredity  have  afforded  a  more  exact  ex- 
planation, m  the  recombination  of  the  different 
characters  of  the  two  races  which  are  crossed.  A 
fuller  account  of  'variation  induced  by  crossing' 
must  therefore  be  postponed  until  the  principles  of 
heredity  have  been  discussed. 

One  further  question  should  be  mentioned  before 
proceeding  to  the  subject  of  heredity,  namely,  the 
relative  importance  of  'inherent'  and  'acquired' 
characters  in  making  up  the  sum  of  characters  of  a 
mature  individual  It  is  often  assumed,  especially  in 
human  cases,  that  the  environment  has  a  prepon- 
derating influence  in  shaping  the  individual.  In  a 
certain  sense  this  is  true,  for  many  characters  can 
only  develop  in  a  suitable  environment ;  muscles 
must  be  exercised  to  be  properly  formed  and  the 
mind  cannot  develop  its  full  powers  if  it  is  never 
used.  But  the  study  of  variation  leads  inevitably 
to  the  conclusion  that  the  inherent  characteristics 
are  all-important,  and  that  the  effect  of  environment 
is  not  much  more  than  to  give  them  opportunity  to 
develop.  This  is  perhaps  most  impressively  seen  in 
the  case  of  'identical  twins,'  as  has  been  shown  by 
Galton  [12].  There  is  reason  to  believe  that  such 
twins  are  produced  by  the  division  of  one  ovum,  and 


Ill]  CAUSES   OF  VARIATION  31 

even  if  exposed  to  different  conditions  they  remain 
through  life  much  more  alike  than  ordinary  brothers 
who  may  be  brought  up  under  precisely  similar 
surroundings.  The  same  fact  is  still  further  em- 
phasised by  the  study  of  heredity. 


CHAPTER  IV 

THE  STATISTICAL  STUDY  OF  HEREDITY 

In  studying  heredity,  either  of  two  methods  may 
be  adopted.  We  may  either  choose  a  character  and 
observe  or  measure  its  development  in  a  large  number 
of  parents  and  in  their  childi'en,  and  so  deduce  the 
average  extent  of  resemblance  between  parents  and 
children  for  that  character ;  or  we  may  consider  a 
number  of  individual  cases  separately,  and  endeavour 
to  discover  the  manner  in  which  the  character  appears 
in  the  children  who  have  parents  or  ancestors  pos- 
sessing it.  With  regard  to  the  first  method  Prof. 
Pearson  has  written  *  We  must  proceed  from  inheri- 
tance in  the  mass  to  inheritance  in  narrower  and 
narrower  classes,  rather  than  attempt  to  build  up 
general  rules  on  the  observation  of  individual  in- 
stances.' And  ', .  .the  very  nature  of  the  distribution 
...seems  to  indicate  that  we  are  dealing  with  that 
sphere  of  indefinitely  numerous  small  causes,  which 
in  so  many  other  instances  has  shown  itself  only 
amenable  to  the  calculus  of   chance,   and   not   to 


OH.  IV]  STATISTICAL  STUDY  33 

the  analysis  of  the  individual  instance'  [25,  'JNIath. 
Contrib.  III.'  Phil.  Trans.  Roy.  Soc.  A,  1896,  p.  255]. 
The  second  method  on  the  other  hand  has  been  used 
in  cases  where  the  causes  of  variation  appear  to  be 
few  and  definite,  and  seeks  to  isolate  these  causes. 
The  first  method  is  thus  clearly  adapted  especially  to 
characters  which  vary  continuously  and  which  can 
be  measured ;  the  second  to  characters  which  vary 
discontinuously  and  can  be  sharply  separated  into 
classes.  The  first  method  gives  on  the  whole  the 
average  intensity  of  inheritance,  but  little  information 
with  regard  to  its  probable  development  in  individual 
cases ;  the  second  attempts  to  answer  the  question 
in  what  manner  the  character  wiU  be  distributed 
among  the  offspring  in  any  family. 

The  founder  of  the  modern  statistical,  or  as  it  is 
now  often  called,  the  biometrical  study  of  heredity  was 
Sir  Francis  Galton,  and  its  leading  exponents  have 
been  Professor  Karl  Pearson  and  the  late  Professor 
Weldon.  In  this  chapter  an  attempt  will  be  made  to 
explain  the  fundamental  principles  on  which  the 
biometric  methods  rest,  and  to  outline  the  chief 
results  obtained ;  the  methods  themselves  frequently 
require  mathematics  of  an  advanced  order,  and  for 
the  study  of  them  the  reader  is  referred  to  the  books 
and  papers  dealing  with  the  subject  mentioned  in  the 
bibliography. 

It  has  already  been  seen  that  in  the  case  of  a 

D.  3 


34  HEREDITY  [ch. 

character  which  varies  continuously  about  a  mean  or 
mode,  the  greater  the  divergence  from  the  mode  in 
either  direction,  the  fewer  will  be  the  individuals 
showing  that  divergence.  In  the  case  of  human 
stature,  if  the  modal  height  of  a  population  is  68 
inches,  there  will  be  fewer  men  of  64  or  72  inches 
than  of  66  or  70,  and  still  fewer  of  63  or  73  inches. 
If  now  the  sons  of  all  the  men  having  a  given  diver- 
gence were  measured,  and  it  were  found  that  they 
averaged  as  gi'eat  a  divergence  from  the  mode  as 
their  fathers,  it  is  clear  that  on  the  average  the 
height  of  the  sons  would  equal  that  of  their  fathers. 
This  does  not  mean  that  every  son  would  exactly 
resemble  his  father  in  stature,  but  the  sons  would 
vary  about  the  paternal  stature  equally  above  and 
below  it,  and  when  plotted  in  a  curve  their  statures 
would  make  a  curve  having  the  paternal  stature  as 
its  mode.  The  average  stature  of  the  sons  would 
then  be  completely  determined  by  the  stature  of  the 
fathers.  If  on  the  other  hand  the  stature  of  the 
father  had  no  relation  with  that  of  his  sons,  it  is 
clear  that  the  statures  of  the  sons  of  fathers  of  any 
height  would  vary  about  the  mean  of  the  general 
population  considered.  In  practice  it  is  found  that 
the  modal  value  for  sons  of  fathers  of  a  given  height 
is  between  the  height  of  their  fathers  and  the  mode 
of  the  general  population.  That  is  to  say,  if  the  fathers 
diverge  a  given  amount  from  the  general  mode,  their 


IV]  STATISTICAL  STUDY  35 

sons  will  on  the  average  diverge  less  ;  they  will  vary 
about  a  modal  value  lying  between  the  general  mode 
and  the  fathers'  measurement.  This  fact  is  called 
*  regression.'  It  sometimes  seems  paradoxical  to  those 
who  have  not  considered  it  that  the  mean  deviation 
of  children  from  the  general  mode  is  always  less  than 
that  of  their  parents.  But  of  course  it  does  not  mean 
that  all  sons  of  tall  fathers  will  be  shorter  than  their 
fathers  ;  some  will  be  as  tall  or  taller,  but  the  sons  of 
a  number  of  fathers  of  given  stature  will  vary  about 
a  mode  lying  between  the  fathers'  stature  and  the 
mode  of  the  whole  population. 

Now  it  is  plain  that  the  amount  of  regression  is  a 
measure  of  the  intensity  of  inheritance  ;  if  the  modes 
for  sons  of  fathers  of  every  deviation  have  deviations 
nearly  as  great  as  those  of  the  fathers,  the  intensity  of 
inheritance  would  be  high  ;  if  the  modes  for  the  sons 
deviate  but  slightly  from  the  general  mode,  whatever 
be  the  deviation  of  the  fathers,  the  intensity  would 
be  low.  A  deJQnite  case  may  make  this  clearer. 
Suppose  the  modal  stature  of  the  population  is  68 
inches  ;  it  might  then  be  found  that  for  fathers  of  64 
inches  (i.e.  deviating  4  inches  below),  the  height  of 
the  sons  ranged  from  61  to  72  inches.  If,  however, 
their  modal  value  had  a  deviation  only  slightly  less 
than  the  fathers'  deviation,  say  with  a  mode  at  65 
inches,  the  regression  would  be  slight  and  the  intensity 
of  inheritance  high  ;  if  the  sons'  mode  had  a  deviation 

3—2 


36  HEREDITY  [ch. 

much  less  than  the  fathers',  say  at  67  inches,  the 
regression  on  the  general  mean  would  be  considerable 
and  the  intensity  of  inheritance  low.  If  then  we  can 
find  means  of  determining  the  ratio  between  the 
deviation  of  sons  in  general  and  the  deviation  of  their 
parents,  we  shall  have  a  measure  of  the  intensity  of 
inheritance  for  the  character  considered.  This  ratio 
is  called  the  'coefficient  of  correlation'  between 
father  and  son  for  that  character.  It  should  be 
noticed  that  correlation  simply  means  that  two 
quantities  vary  in  relation  to  each  other ;  the  corre- 
lation between  parents  and  children  is  a  convenient 
method  of  estimating  the  intensity  of  inheritance, 
but  correlation  exists  between  any  two  related 
variables,  e.g.  between  the  measurements  of  two 
limbs  in  the  same  individual,  such  as  an  arm  and  a 
leg,  or  between  the  numbers  obtained  in  successive 
throws  of  dice,  if  not  all  the  dice  are  picked  up  for 
the  second  throw.  The  correlation  between  the  same 
measurement  in  brothers  may  be  used  as  a  measure 
of  inheritance,  for  two  brothers  resemble  each  other 
more  than  two  chance  individuals  because  they  are 
children  of  the  same  parents. 

The  principle  of  obtaining  a  coefficient  of  corre- 
lation between  father  and  sons  is  as  follows.  It  will 
be  convenient  to  assume  that  the  variability  of  the 
character  considered  is  normal,  i.e.  that  the  frequency 
curve  falls  evenly  on  either  side  of  the  mode,  so  that 


IV] 


STATISTICAL  STUDY 


37 


the  mode  is  identical  with  the  mean.  Stature  in 
inches  may  be  taken  as  an  example.  A  large  number 
of  fathers  and  a  son  of  each  are  measured  to  the 
nearest  inch ;  it  can  then  be  found  what  is  the 
average   measurement   of  sons   for  fathers   of  each 


«~  u 
§^ 

3"- 

go 

W  a 
e  " 

u  u 


60 
61 
62 
63 
64 
65 
63 
67 
68 
69 
70 
71 
^2 
73 
74 
75 
76 
77 


k 

\ 

\ 

r 

\ 

U 

^ 

; 

\ 

) 

^ 
) 

^ 

\ 

Vj 

S' 

<\ 

; 

"^ 

^ 

C 

0 

v.. 

< 

D 

\ 

'^ 

s 

\ 

"v 

^N* 

J 

\ 

V, 

■F 

\ 

\ 

\ 

\ 

B 

^ 

60  61  62  63  64  65  66  67  68  69  70  71  72  73  74  75  76  77 

Statures  of  Fathers 
Fig.  6.     Diagram  of  correlation  between  fathers  and  sons. 


height  from  the  lowest  value  to  the  highest.  It  will 
be  found  that  the  mean  deviation  of  the  sons  from 
the  mean  of  the  population  is  less  than  the  deviation 
of  the  fathers  for  each  class  of  fathers.  The  average 
ratio  between  the  mean  deviations  of  the  sons  to  the 


38  HEREDITY  [ch. 

deviations  of  the  fathers  is  then  the  coefficient  of 
correlation  between  father  and  son  for  this  character^ 
This  is  more  clearly  seen  in  diagram  form. 

If  a  square  is  made  with  its  sides  divided  into 
equal  lengths  corresponding  to  equal  increments  in 
stature  from  60  to  76  inches,  the  top  may  represent 
the  scale  of  statures  of  fathers  and  the  side  the  scale 
of  mean  statures  of  sons  for  each  class  of  fathers.  If, 
then,  there  were  complete  correlation  between  fathers 
and  sons,  the  mean  stature  of  sons  of  fathers  62  inches 
high  would  be  62,  of  fathers  of  63  inches,  63,  of  64, 
64  and  so  on.  If  on  the  other  hand  there  were  no 
correlation,  the  means  of  the  sons  of  every  class  of 
father  would  be  the  mean  of  the  population  (68). 

In  the  first  case  the  line  joining  the  points  repre- 
senting the  means  of  the  sons  would  be  a  diagonal 
running  from  corner  to  corner  (AB),  in  the  second 
case  a  horizontal  line  running  across  the  middle  (CD). 
But  if  the  correlation  is  between  these  extremes  the 
line  would  lie  between  the  diagonal  and  the  horizontal 
(EF),  and  the  greater  the  correlation  the  steeper 
would  be  the  slope  of  EF.  The  steepness  of  this  line 
is  thus  a  measure  of  correlation,  and  since  all  these 
lines  pass  through  0  in  the  middle  of  the  square,  the 

1  It  is  assumed  throughout  that  the  variahiHty  of  the  sons  is  similar 
to  that  of  the  fathers.  If  their  variability  were  different  this  would 
have  to  be  allowed  for.  The  variation  is  also  assumed  to  be  normal, 
so  that  the  mode  in  each  case  coincides  with  the  mean. 


IV] 


STATISTICAL  STUDY 


39 


slope  is  measured  by  the  size  of  the  angle  EOC.  The 
angle  made  by  the  diagonal  at  0  is  45°,  the  tangent 
of  which  is  1  (unity).  If  there  were  no  correlation 
the  angle  would  vanish,  EF  coinciding  with  CD,  and 
the  correlation  coefficient  would  be  0.  Intermediates 
are  represented  by  the  value  of  the  tangent  of  the 
angle  EOC.  In  practice  it  rarely  happens  that  the 
points  representing  the  means  of  the  sons  for  each 
class  of  fathers  lie  in  a  perfectly  straight  line  ;  when 
they  approach  it  closely  the  correlation  is  called 
'linear';  when  they  depart  from  it  considerably,  it 
is  called  '  skew.' 


Table  of  i/ntensitj/  of  parental  inheritance  in  different 
species.     [Froin  Pearson.) 


Species 

Character 

Mean 
value 

Numbej 

of  Pain 

used 

Man 

Stature 

•506 

4886 

Span 

•459 

4873 

Forearm 

•418 

4866 

Eye  Colour 

•495 

4000 

Horse 

Coat  Colour 

•522 

4350 

Basset  Hound 

Coat  Colour 

•524 

823 

Greyhound 
Aphis 

Coat  Colour 
Eatio  of  right  Antenna 

•507 
•439 

9279 
368 

(Hyalopterus 
trirhodus) 
Water-flea 

to  Frontal  Breadth 

(non-sexual  reproduction) 

Ratio  of  Basal  Joint  of 

466 

96 

(Daphnia  magna) 

Antenna  to  Body  length 
(non-sexuaJ  reproduction) 

40  HEREDITY  [ch. 

Prof.  Pearson  and  his  collaborators  have  worked 
out  the  correlation  between  parent  and  child  for  a 
number  of  measurable  characters  in  Man,  Animals, 
and  Plants,  and  they  find  that  the  numbers  group 
themselves  about  a  value  not  far  from  0*48,  varying 
from  0-42  to  0-52.  That  is  to  say,  on  the  average  the 
offspring  deviate  from  the  mean  about  half  as  much 
as  the  parent. 

The  parental  correlation  hitherto  discussed  has 
taken  no  account  of  the  second  parent,  for  if  in- 
dividuals mate  at  random  the  one  parent  may  be 
considered  alone,  and  the  second  will  on  the  average 
have  the  mean  value  for  the  general  population.  But 
it  is  clear  that  one  may  take  for  the  parental  value 
in  each  class  the  mean  of  the  two  parents  (making 
allowance  for  any  difference  in  measurement  due  to 
sex),  and  plot  the  means  of  the  sons  (or  daughters) 
against  the  classes  so  produced.  The  value  derived 
from  taking  the  mean  of  father  and  mother  is  called 
the  *  mid-parent,'  and  the  correlation  so  arrived  at 
would  give  the  measure  of  resemblance  between 
children  and  their  mid-parents.  This  is  naturally 
higher  than  the  correlation  observed  when  only  one 
parent  is  considered;  for  if  both  parents  deviate  in 
the  same  direction  from  the  mode  of  the  population, 
the  children  will  average  a  gi'eater  deviation  than  if 
only  one  does  so,  and  still  more  than  if  one  deviates 
in  one  direction,  the  other  in  the  opposite.    We  thus 


IV]  STATISTICAL  STUDY  41 

obtain  a  measure  of  the  amount  contributed  to  the 
offspring  by  the  two  parents  together,  but  even  now 
we  do  not  find  the  correlation  complete  (I'O)  because 
the  contributions  from  previous  ancestors  have  also 
to  be  taken  into  account. 

Galton  was  the  first  to  introduce  the  idea  of  the 
*  mid-parent,'  and  he  went  on  to  attempt  to  estimate 
the  average  contribution  to  the  children  from  each 
generation  of  ancestors.  Since  the  correlation  be- 
tween offspring  and  mid-parent  is  not  complete, 
part  of  the  heritage,  which  is  not  visibly  present  in 
the  parents,  must  be  contributed  from  more  distant 
ancestors.  Galton  concluded  from  the  data  he  collected 
that  on  the  average  half  the  heritage  of  an  individual 
may  be  taken  as  derived  from  the  two  parents,  one 
quarter  from  the  four  grandparents,  one  eighth  from 
the  great  grandparents,  and  so  on,  the  whole  series 
(I?  h  h  tV — )  adding  up  to  unity.  Pearson  estimates 
the  average  correlation  between  offspring  and  one 
parent,  as  about  '5,  of  offspring  with  a  grandparent 
as  '33,  with  a  great  grandparent  as  '22,  the  correlation 
coefficient  with  an  ancestor  of  each  generation  being 
I  of  that  of  the  next  below ;  these  numbers,  however, 
are  not  in  any  way  comparable  with  Galton's  series 
•5,  "25,  '125,  etc.  Galton  attempted  to  estimate  the 
amount  of  the  heritage  received  from  the  'mid- 
ancestor  '  of  each  generation  independently  of  what 
was  received  from   other  generations  ;  but  in  the 


42  HEREDITY  [ch. 

metaphor  of  bequests  of  property,  he  calculated  that 
of  the  total  heritage  of  an  individual,  half  on  the 
average  was  bequeathed  by  the  parents,  one  quarter 
by  the  grandparents  direct  to  the  grandchild  and  so 
on,  Pearson's  series  '5,  '33,  '22  etc.  gives  the  average 
measure  of  resemblance  between  children  and  an 
ancestor  of  each  generation,  which  is  clearly  a  totally 
different  thing.  From  this  series  he  has  worked  out 
figures  corresponding  to  Galton's,  making  the  series 
•6244,  -1988,  "0630,  i.e.  he  finds  that  the  parental 
bequest  is  greater  and  the  ancestral  bequests  less 
than  Galton  estimated.  From  the  results  obtained 
first  by  Galton  and  later  by  Pearson  has  been  formu- 
lated the  'Law  of  Ancestral  Heredity,'  which  has 
been  stated  in  various  forms,  perhaps  the  most 
general  being  'the  mean  character  of  the  ofispring 
can  be  calculated  with  the  more  exactness,  the 
more  extensive  our  knowledge  of  the  corresponding 
characters  of  the  Ancestry '  (Yule  [44]).  But  it  should 
be  noted  that  there  is  an  important  diflbrence  between 
Galton's  original  statement  of  the  law,  and  the  later 
statements  of  Prof.  Pearson.  Galton  wrote  that '  the 
two  parents  between  them  contribute  on  the  average 
one-half  of  each  inherited  faculty,  each  of  them 
contributing  one-quarter.  The  four  grandparents 
contribute  between  them  one-quarter,  or  each  of 
them  one-sixteenth  ;  and  so  on.'  He  regarded  this 
as  a  physiological  statement  of  the  way  faculties 


TV]  STATISTICAL  STUDY  43 

were  transmitted,  while  Pearson,  in  his  later  writings 
at  least,  regards  the  law  simply  as  a  statistical 
description  of  what  is  found  when  large  numbers 
are  observed  in  mass. 

It  has  been  mentioned  that  the  characters  which 
especially  lend  themselves  to  statistical  treatment 
are  those  which  vary  continuously  and  which  can  be 
accurately  measured,  but  Prof.  Pearson  has  applied 
similar  methods  to  discontinuous  characters,  which 
can  be  classified  into  groups  but  not  measured,  for 
example  coat-colour  in  horses.  He  finds  as  the 
results  of  his  enquiries  that  the  inheritance  of  such 
characters  can  be  stated  in  terms  similar  to  those 
obtained  with  measurable  characters,  so  that  the 
principle  of  ancestral  correlation  leading  up  to  the 
law  of  ancestral  heredity  may  be  applied  to  these 
characters  also.  But  whatever  may  be  the  case  with 
characters  which  vary  continuously,  it  will  be  seen 
below  that  discontinuous  characters  are  commonly 
alternative  in  their  inheritance,  i.e.  there  is  no 
blending,  but  the  ofispring  exhibit  one  or  other  only  ; 
and  in  some  at  least  of  these  cases,  the  character  of 
the  offspring  cannot  be  calculated  with  any  more 
exactness  if  the  ancestry  is  known  than  if  it  is  not. 
Such  instances  show  clearly  that  although  the  law 
may  be  statistically  true  when  applied  to  considerable 
populations,  it  gives  us  no  clue  to  the  physiological 


44  HEREDITY  [ch. 

processes  which  determine  the  transmission  of  char- 
acters from  one  generation  to  another. 

Another  argument  that  has  been  used  against  the 
physiological  validity  of  the  law  of  ancestral  heredity 
is  based  on  the  work  of  Johannsen  and  others  who 
have  obtained  results  similar  to  his  in  other  cases. 
Johannsen  worked  at  the  inheritance  of  weight  of 
seeds  in  beans  and  in  barley,  and  self-fertilised  the 
plants  investigated  for  a  series  of  generations  so  as 
to  isolate  what  he  calls  '  pure  lines.'  He  found  that 
in  beans,  for  example,  the  seed-weights  of  a  mixed 
population  gave  a  normal  frequency  curve — the 
weights  varied  continuously  and  evenly  about  a  mean 
value.  The  beans  on  an  individual  plant  when  the 
flowers  are  self-fertilised  also  form  a  normal  curve 
about  a  mean,  but  this  mean  is  not  necessarily  identical 
with  that  of  the  race  in  general.  If  now  the  flowers 
on  such  an  individual  are  self-fertilised,  and  the  beans 
produced  are  sown,  the  mean  weight  of  the  beans  op 
all  the  daughter  plants  will  be  identical  with  the 
mean  of  the  beans  on  the  parent,  i.e.  among  the 
ofispring  produced  by  self-fertilisation  there  is  no 
regression  towards  the  mean  of  the  race.  It  thus 
makes  no  difiference  whether  large  or  small  seeds  are 
chosen  within  the  pure  livie  ;  the  mean  weight  of  the 
seeds  on  plants  grown  from  the  smallest  and  largest  of 
the  parental  beans  (seeds)  is  in  each  case  equal  to  the 


ivj  STATISTICAL  STUDY  46 

parental  mean.  Selection,  therefore,  within  the  pure 
line  has  no  effect  in  altering  the  mean  weight  of  the 
seeds,  for  the  differences  in  seed  weight  within  the 
line  are  not  inherited.  The  probable  cause  of  this 
is  that  the  differences  between  the  seeds  on  a  self- 
fertilised  plant  are  due  to  the  action  of  external 
circumstances ;  the  position  of  the  beans  in  the 
pod  or  the  position  of  the  pods  on  the  plant  cause 
differences  in  the  nutrition  which  allow  some  beans 
to  grow  larger  than  others.  These  differences  are 
'acquired  characters,'  and  we  have  here  additional 
evidence  that  such  are  not  inherited.  It  is  to  variation 
of  this  type  that  the  term  '  fluctuation '  is  applied  by 
some  authorities. 

It  is  clear  then  that  if  selection  is  made  among 
beans  harvested  from  a  mixed  population,  on  the 
whole  the  larger  beans  will  belong  to  pure  lines 
having  a  higher  mean,  and  thus  selection  for  a  few 
generations  will  isolate  pure  lines  having  a  high 
value,  and  the  mean  of  successive  generations  will 
rise  until  the  largest  pure  lines  have  been  isolated. 
Beyond  that  point  further  selection  will  have  no 
effect.  This  is  precisely  the  result  arrived  at  by 
Prof.  Pearson  from  a  study  of  selection  within  a 
mixed  population  ;  the  mean  will  rise  rapidly  on  the 
first  selection,  more  slowly  later,  until  in  very  few 
generations  it  reaches  a  point  at  which  selection 
has  no  appreciable  effect.    Pearson  calculates  that  if 


46  HEREDITY  [ch. 

selection  now  ceases,  the  selected  race  will  very 
slowly  revert  towards  the  mean  of  the  general  popu- 
lation. But,  as  has  been  seen,  this  conclusion  is  based 
on  the  assumption  that  continuous  variation  is  due  to 
the  concurrent  action  of  an  indefinite  number  of  small 
independent  causes.  If,  however,  Johannsen  is  correct, 
we  may  divide  these  causes  into  two  classes :  the 
causes  which  induce  '  fluctuation '  as  explained  above, 
which  agree  with  Pearson's  requirements,  and  the 
cause  or  causes  which  give  rise  to  the  difference 
between  one  pure  line  and  another.  Now  this  second 
group  may  conceivably  consist  in  a  single  factor  of 
the  nature  of  a  small '  mutation,'  and  if  so,  by  isolating 
the  pure  line  this  factor  is  also  isolated,  and  no  return 
towards  the  mean  of  the  general  population  need 
take  place.  According  to  Johannsen  this  isolation 
can  be  efibcted  in  one  generation  by  selecting  the 
self-fertilised  plants  which  have  the  highest  average 
yield,  instead  of  selecting  the  heaviest  beans  them- 
selves. 

We  thus  obtain  by  experiments  such  as  those  of 
Johannsen  a  new  conception  of  the  possible  nature  of 
continuous  variation ;  it  may  be  due  partly  to  '  fluctua- 
tion' brought  about  by  the  action  of  environment 
and  not  inherited,  partly  to  a  series  of  small  step- 
wise 'mutations,'  each  of  which  owing  to  fluctuation 
overlaps  the  next,  and  can  only  be  isolated  when  it  is 
possible  to  breed  pure  lines.     It  should  be  said  that 


IV]  STATISTICAL  STUDY  47 

there  is  as  yet  no  certainty  that  this  account  of 
continuous  variation  is  sufficient  to  cover  all  cases ; 
it  is  a  suggestion  of  possibility  rather  than  a  state- 
ment of  fact. 

We  have  seen  that  there  is  reason  to  believe  that 
the  Law  of  Ancestral  Inheritance  is  true  only  when 
applied  to  a  large  number  of  individuals  considered 
in  mass,  or,  as  it  has  been  put,  that  it  is  a  statistical 
rather  than  a  physiological  law.  In  individual  cases 
it  is  not  true  that  the  offspring  need  be  influenced 
by  ancestors  beyond  the  parents,  but  in  other  cases, 
as  will  be  seen  in  dealing  with  Mendelian  heredity, 
these  ancestors  have  important  effects,  so  that 
statistically  it  is  possible  to  say  what  is  the  average 
influence  of  the  ancestors  of  any  generation  upon 
the  offspring.  Now  in  cases  where  it  is  possible  to 
define  rigidly  single  characters,  much  more  is  learned 
from  the  physiological  than  from  the  statistical 
method,  but  where  no  such  rigid  separation  of 
characters  is  possible  the  statistical  law  is  the  only 
one  that  can  be  applied.  This  is  particularly  the 
case  in  characters  which  vary  continuously,  or  where 
the  categories  into  which  the  character  falls  overlap 
one  another,  as  for  example  in  Johannsen's  beans. 
Further,  the  statistical  method  is  frequently  the  only 
one  which  is  available  when  experiment  is  impossible 
and  when  our  knowledge  of  the  facts  is  based  solely 
on  numerical  data  from  observed  cases,  and  this  of 


48  HEREDITY  [CH. 

course    applies    especially    to   inheritance    in    Man, 
where  experimental  evidence  is  not  available. 

By  collecting  family  histories  of  distinguished 
men,  Galton  showed  long  ago  [15]  that  exceptional 
mental  qualities  were  inherited;  and  this  work 
has  recently  been  much  extended  and  made  more 
definite  by  Professor  Pearson  and  his  school.  It 
is  commonly  believed  that  exceptionally  gifted  men 
do  not  have  distinguished  sons,  but  this  like  many 
other  popular  beliefs  is  only  partly  true.  It 
has  been  seen  that  if  an  individual  deviates  a 
certain  amount  from  the  general  mean,  his  children 
will  on  the  average  deviate  less,  because  when  the 
whole  ancestry  is  taken  into  account,  the  eflect  of 
previous  generations  is  to  cause  regression  on  the 
mean  of  the  population.  And  since  the  theory  of 
regression  depends  on  the  assumption  that  variation 
is  due  to  the  existence  of  a  large  number  of  inde- 
pendent causes  acting  concurrently,  it  is  unlikely 
that  among  the  limited  number  of  offspring  of  one 
exceptional  man  any  one  child  will  unite  in  himself 
the  same  combination  of  factors  as  went  to  make  up 
the  father's  character.  Further,  it  is  improbable  that 
an  unusually  gifted  man  will  marry  a  wife  equally 
gifted  in  the  same  manner,  and  the  mother's  influence 
on  the  children  is  closely  similar  to  that  of  the  father. 
It  cannot  therefore  be  expected  that  all  great  men 
should  have  equally  great  sons,  but  they  are  far  more 


IV]  STATISTICAL  STUDY  49 

likely  to  have  exceptional  sons  than  are  mediocre 
men,  and  if  the  mother  is  also  exceptional  in  the 
same  direction  this  probability  is  greatly  increased. 
In  the  last  feAV  years  the  intensity  of  inheritance 
in  such  characters  has  been  given  numerical  ex- 
pression. Professor  Pearson,  after  working  out  the 
statistical  laws  of  inheritance  in  many  physical  char- 
acters of  man,  animals  and  plants,  has  applied  the 
same  methods  to  what  are  called  the  mental  and 
moral  attributes.  Characters  were  chosen  such  as 
vivacity,  popularity,  conscientiousness,  temper,  ability, 
hand-writing,  which  were  estimated  by  reports  from 
school-teachers  on  the  children  in  their  schools ; 
and  also  intellectual  ability  as  shown  in  university 
examinations  or  by  the  position  in  a  public  school 
at  a  particular  age  (Schuster  [10])\  All  these,  when 
investigated  by  the  same  methods  as  were  devised 
for  the  coat-colour  of  horses  or  eye-colour  in  man, 
are  found  to  give  results  closely  in  accord  with  those 
obtained  for  physical  features.  The  conclusion  is 
therefore  reached  .that  not  only  bodily  characters, 
but  also  those  of  the  mind  are  essentially  determined 
by  the  hereditary  endowment  received  from  the 
parents.    This  result  is  of  great  importance  practi- 

^  In  these  characters  the  resemblance  between  parent  and  child 
cannot  of  course  be  estimated  directly,  but  it  has  been  pointed  out 
above  that  the  resemblance  between  brothers  may  be  used  as  a  test 
of  the  intensity  of  heredity. 

D.  4 


50  HEREDITY  [CH 

cally ;  it  shows  how  little  room  is  left  in  the 
development  of  the  individual  for  the  effects  of 
environment  even  on  the  intellect  or  mind  in  the 
broadest  sense  of  the  word ;  no  doubt  the  direction 
which  intellectual  development  takes  is  to  a  con- 
siderable extent  determined  by  circumstances,  but 
the  kind  of  mind  is  irrevocably  decided  before  the 
child  is  bom.  Still  less  is  there  room  for  the 
inheritance  of  the  mental  acquirements  made  by  the 
individual  during  his  life,  and  hence  the  hopes  held 
out  of  improving  the  race  by  education  and  by 
special  care  of  the  dull  or  feeble-minded  are  illusory, 
except  in  so  far  as  they  improve  the  tradition.  Just 
as  the  welfare  of  the  race  may  be  increased  by  an 
invention  which  is  handed  on  from  generation  to 
generation,  so  the  good  effects  of  education  or  other 
improved  conditions  may  be  handed  on,  but  this  is 
not  heredity.  The  father  may  educate  his  children 
because  he  himself  was  educated,  but  the  mental 
powers  of  his  children  will  be  the  same  whether  he 
had  a  good  education  or  none\  And  the  effects  of 
special  care  given  to  the  weakly  or  feeble-minded 
may  be  absolutely  harmful  to  the  race,  if  the  im- 
provement   so    effected    leads    to    more    frequent 

1  Of  course  education  is  a  necessary  condition  for  the  full  develop- 
ment of  the  mental  powers,  hut  at  present  we  have  no  evidence  that 
it  can  add  potentialities  not  present  at  birth.  The  subject  is  more 
fully  discussed  in  Chapters  vii  and  viii. 


IV]  STATISTICAL  STUDY  61 

marriage  among  such  unfortunates  than  would  other- 
wise be  the  case,  for  then  an  increased  number  of 
defective  cliildren  may  be  born,  and  the  race-average 
be  lowered.  Hence  has  arisen  the  study  known  as 
'Eugenics,'  the  study,  that  is,  of  the  methods  by 
which  the  race  may  be  improved  both  physically  and 
mentally.  The  whole  trend  of  the  results  obtained 
is  that  in  order  to  produce  exceptionally  gifted  men 
in  both  body  and  mind,  those  with  high  development 
of  the  characters  desired  should  be  encouraged  to 
marry  ;  and  that  to  prevent  the  production  of  the 
weakly  and  feeble-minded,  the  only  method  is  to 
prevent  such  from  having  oflFspring.  It  is  admitted 
that  at  present  these  things  hardly  come  within 
*  practical  politics,'  but  there  is  little  doubt  that  the 
nation  which  first  finds  a  way  to  make  them  practical 
will  in  a  very  short  time  be  the  leader  of  the  world. 


4—2 


CHAPTEE  V 

MENDELIAN  HEREDITY 

In  the  last  chapter  the  distinction  has  more 
than  once  been  referred  to  between  the  statistical 
rules  of  inheritance  discovered  by  observing  great 
numbers  of  cases  taken  together,  and  the  physio- 
logical laws  which  determine  the  actual  manner  of 
transmission  in  individual  cases.  The  province  of 
the  present  chapter  is  to  indicate  the  methods  by 
which  one  at  least  of  these  physiological  laws  has  been 
investigated,  and  the  results  to  which  such  work 
has  led.  In  studying  this  part  of  the  subject  it  is 
necessary  to  consider,  at  least  in  the  first  place, 
characters  which  vary  and  are  inherited  discontinu- 
ously,  so  that  they  may  be  sharply  marked  into 
distinct  categories.  The  foundation  of  the  study 
was  laid  by  Johann  Gregor  Mendel,  a  monk  of  the 
monastery  of  Briinn  in  Bohemia.  His  most  important 
paper  was  published  in  1866  [2],  but  perhaps  owing 
to   the   fact   that   the  biological    world   was   then 


CH.V]  MENDELIAN  HEREDITY  53 

occupied  almost  solely  with  the  discussion  of  the 
*  Origin  of  Species,'  his  work  attracted  no  attention 
at  the  time,  and  only  became  celebrated  on  its 
rediscovery  in  1900.  One  cannot  avoid  speculating 
on  the  possible  effects  on  biological  thought,  had 
the  experiments  and  conclusions  of  his  now  famous 
contemporary  ever  come  to  the  knowledge  of 
Darwin. 

The  method  which  led  Mendel  to  his  great 
discovery  was  to  experiment  with  plants  exhibiting 
discontinuous  characters,  and  to  consider  each  char- 
acter separately.  Previous  workers  in  the  same 
field  had  made  many  laborious  experiments  in 
crossing  difterent  races  of  plants  or  animals  [7],  but 
had  always  regarded  the  individual  as  the  unit,  and 
hence  arose  the  belief  that  mongrels  or  hybrids  were 
usually  intermediate  between  the  parents,  resembling 
one  in  some  features,  the  other  in  others,  but  with 
no  regular  rule  ;  and  further,  that  when  hybrids  were 
bred  together  the  oiFspring  were  often  almost  infinitely 
variable,  extending  in  a  series  from  some  closely 
approaching  one  original  parent  through  a  diversity 
of  intermediate  or  new  forms  to  others  like  the  second 
parent.  So  grew  up  the  belief  that  the  crossing 
of  distinct  races  or  breeds  is  a  potent  cause  of 
variability,  which,  however,  except  when  'reversion 
on  crossing'  took  place,  seemed  to  fall  under  no 
ascertainable  law. 


54  HEREDITY  [ch.  v 

Mendel's  most  important  experiments  were  made 
with  races  of  the  edible  pea,  which  he  grew  in  the 
garden  of  his  monastery.  He  found  in  peas  several 
characters  which  vary  and  are  inherited  discon- 
tinuously,  and  he  crossed  together  races  which 
differed  in  one  or  more  of  such  characters,  but  in  the 
oflfspring  and  later  generations  he  considered  the 
distribution  of  each  character  by  itself,  quite  apart 
from  the  other  characters  of  the  plant.  As  an 
example  we  may  take  the  character  height  or 
tallness.  Certain  varieties  of  peas  grow  stems  some 
six  feet  in  height,  others  are  short  and  do  not  exceed 
about  two  feet.  The  heights  fluctuate  about  a  mode, 
but  the  smallest  individuals  of  one  race  (grown  under 
proper  conditions)  are  taller  than  the  largest  of  the 
other,  and  each  race  breeds  true.  Similar  tall  and 
short  races  exist  in  the  sweet-pea  (fig.  7),  the  short 
race  being  called  'Cupid'  sweet-peas.  When  the 
two  races  are  crossed — and  reciprocal  crosses  give 
identical  results — the  offspring  are  not  intermediate 
but  all  are  tall,  perhaps  taller  than  the  tall  parents. 
When  now  these  hybrid  tails  are  self-fertilised, 
among  the  plants  produced  some  are  tall  and  others 
short,  but  again  none  are  intermediate.  Mendel 
regarded  the  tallness  or  shortness  as  distinct  alter- 
native characters,  and  since  tallness  alone  appears  in 
the  fii'st  cross,  he  spoke  of  it  as  '  dominant,'  and  the 
shortness,  which  disappeared  when  crossed  with  the 


56  HEREDITY  [ch. 

dominant  tallness,  he  called  'recessive.  More  recent 
work  has  indicated  that  a  dominant  character  pos- 
sesses some  factor  which  is  absent  in  its  recessive 
alternative ;  in  the  present  example  the  stem  has 
the  power  of  continued  growth  which  is  absent  in 
the  short  pea.  Dominance  and  recessiveness  may 
thus  be  regarded  as  presence  and  absence  respectively 
of  the  factor  in  question  ;  but  since  the  presence  or 
absence  of  the  factor  may  often  give  rise  to  the 
appearance  of  an  alternative  pair  of  characters, 
such  a  pair  have  been  named  by  Bateson  a  pair  of 
'allelomorphs.'  When  a  tall  pea  is  crossed  with 
a  short,  the  factor  tallness  is  introduced  from  the 
tall  parent,  and  thus  all  the  offspring  are  tall.  These 
are  called  the  first  filial  generation,  or  more  shortly 
the  generation  JPj.  Wlien  these  hybrid  (F^)  tails  are 
self-fertilised,  their  offspring  (second  filial  or  F2 
generation)  consist  of  tails  and  shorts.  Now  it  has 
been  seen  that  if  the  factor  tallness  is  present  it 
makes  itself  visible,  and  therefore  the  short  peas  in 
Fi  should  contain  no  tall  factor.  And  in  fact  when 
self-fertilised,  or  fertilised  with  the  original  short 
stock,  they  give  only  short  offspring  for  as  many 
generations  as  the  experiment  has  been  carried  to. 
The  tall  factor  has  thus  apparently  been  completely 
eliminated  from  these  short  peas. 

Fm-ther,  Mendel  found  that  among  the  tails  in  the 
Fi  generation,  some  breed  true  to  tallness  when  self- 


vj  MENDELIAN  HEREDITY  67 

fertilised,  while  others  again  give  a  mixture  of  tails 
and  shorts.  The  whole  result  may  be  clearer  in 
symbolic  form.  If  T  stands  for  the  tall  factor,  t  for 
its  absence  (shortness),  the  following  results  appear. 
(The  "2Tt'  in  Fi  will  be  explained  immediately.) 


Original  parents 

Txt 

1 
Tt 

Ft 

r 
TT 

1 
TT 

2Tt 

1 

1 

tt 

1 

Fs 

1              1        1 
TT        2Tt    tt 

1 
tt 

It  is  thus  clear  that  among  the  offspring  of  the  Fi 
(hybrid)  generation,  some  (tt)  have  eliminated  the 
taU  factor  altogether  and  show  no  difference  from 
their  short  ancestors  ;  others  (TT)  have  nothing  but 
the  tall  factor  and  thus  breed  true  to  tallness ;  and 
a  third  group,  which  Mendel  found  was  twice  as 
numerous  as  either  of  the  others  (therefore  marked 
2Tt),  proved,  by  giving  mixed  offspring  when  selfed, 
that  it  is  hybrid  like  its  jPi  parent. 

The  explanation  offered  by  Mendel  of  these  facts 
was  as  follows.  The  original  tall  plant  produces 
germ-cells  ('gametes')  bearing  taUness  ;  the  short 
plant  produces  gametes  bearing  shortness  (absence 
of  tallness).  The  Fi  (hybrid)  thus  contains  both 
conditions  ;  its  cells,  resulting  from  the  union  of  two 
gametes,  may  be  regarded  as  double  structures,  con- 


58  HEREDITY  [ch. 

taining-  a  double  set  of  determinants  for  the  various 
characters  of  the  plant,  one  determinant  of  each 
pair  being  derived  from  the  male  parent,  the  other 
from  the  female.  An  individual  produced  by  union 
of  two  germ-cells  (gametes)  and  having  this  double 
character  is  called  a  '  zygote/  The  F^  zygote  thus 
contains  a  determinant  for  tallness  derived  from  one 
parent,  and  a  corresponding  determinant  in  which 
the  tall  factor  is  absent  derived  from  the  second 
parent.  Now  Mendel's  hypothesis  to  account  for  the 
observed  facts  was  that  although  the  zygote  produced 
by  union  of  tall-bearing  and  short-bearing  gametes 
contains  both  factors,  yet  when  this  hybrid  zygote 
gives  rise  to  gametes,  it  produces  some  bearing 
tallness  and  others  bearing  shortness,  but  none 
bearing  both  determinants  ;  i.e.  that  the  alternative 
characters  segregate  from  each  other  in  the  forma- 
tion of  the  gametes,  and  that  gametes  bearing  one 
or  other  of  the  two  conditions  are  formed  in  equal 
numbers.  Since  large  numbers  of  gametes  of  each 
kind  are  formed,  and  since  they  meet  indiscriminately 
in  fertilisation,  a  tall  will  equally  often  meet  a  tall  or 
a  short,  and  a  short  will  equally  often  meet  a  tall  and 
a  short,  and  the  combinations  will  thus  be  in  the  ratio 
of  \TT,  \Tt,  UT,  Ut,  or  ITT,  2Tt,  \U.  If  this 
hypothesis  is  true,  it  can  be  tested  by  fertilising  the 
Fi  hybrid  zygote  with  the  pure  parental  types ;  the 
Fi  zygote  produces  equal  numbers  of  T  and  t  gametes, 


v]  MENDELIAN  HEREDITY  69 

the  pure  short  race  produces  only  t,  so  the  offspring 
of  the  hybrid  and  the  original  short  should  give  equal 
numbers  of  hybrid  tails  and  pure  shorts.  Similarly 
the  hybrid  zygote  crossed  with  the  pure  tall  should 
give  equal  numbers  of  pure  tails  {TT)  and  hybrid 
tails  {Tt),  Mendel  found  that  this  expectation  was 
in  fact  verified  by  experiment.  The  whole  series 
may  be  made  clearer  by  a  diagram  (p.  60),  in  which 
the  zygotes  are  represented  by  squares,  the  gametes 
by  circles. 

The  middle  part  of  this  diagram  represents  .the 
production  of  the  Fi  zygote  and  its  ofispring  when 
self-fertilised,  producing  equal  numbers  of  T  and  t 
gametes  (four  of  each  being  represented)  and  thus 
giving  offspring  in  the  ratio  of  \TT,  2Tt,  lit;  the 
sides  of  the  diagram  represent  the  results  of  crossing 
back  the  Fi  zygote  with  the  parental  types  TT  and  tt. 

At  this  point  it  is  necessary  to  explain  certain 
convenient  technical  terms  introduced  by  Bateson. 
It  has  already  been  mentioned  that  a  pair  of  alter- 
native characters  which  segregate  in  the  gametes,  as 
described,  are  called  allelomorphs.  When  an  indi- 
vidual is  produced  by  two  gametes  bearing  different 
allelomorphs,  so  that  it  contains  both  members  of 
a  pair,  it  is  called  a  '  heterozygote,'  or  is  said  to  be 
*  heterozygous '  in  respect  of  the  character  considered, 
e.g.,  an  individual  of  constitution  Tt  is  heterozygous 
in  respect  of  talluess.     If  it  contains  only  one  kind 


60 


[CH. 


zy 

-W 

X 

h 

9     ^ 

-I 

h- 

H 

to 

s: 

CD 

5 


00 

CO 

so 

^ 

CO 

S  "^ 

o 

CO 

o 

s-1    03 
CO     V 

2r> 

!3> 

N 

s 

N 

«a 

uT 

C3 

uT 

v]  MENDELTAN  HEREDITY  61 

of  allelomorph  of  a  pair  it  is  a  *  homozygote/  e,g. 
individuals  of  composition  2Tand  tt  are  'homozygous' 
for  tallness  and  shortness  respectively.  As  will  be 
seen  immediately,  it  is  possible  for  an  individual  to 
be  heterozygous  for  one  pair  of  allelomorphs  and 
homozygous  for  another.  The  essence  of  Mendel's 
theory  is  that  owing  to  the  segregation  of  allelomorphs 
from  each  other  in  the  production  of  the  gametes  of 
a  heterozygote,  the  homozygous  offspring,  when  self- 
fertilised  or  mated  with  others  of  like  constitution, 
breed  true  to  the  character  in  question  irrespective 
of  their  ancestry.  As  far  as  observation  can  show, 
the  homozygous  individuals  TT  and  tt  in  the  genera- 
tion Fi  breed  as  true  to  tallness  or  shortness  as  did 
their  pure-bred  grandparents,  in  spite  of  the  fact 
that  they  are  the  offspring  of  a  cross. 

Hitherto  the  original  parents  have  been  considered 
as  differing  from  each  other  in  only  one  pair  of  alter- 
native characters  (allelomorphs),  but  Mendel  found 
that  in  the  pea  there  were  several  such  pairs  of 
characters.  For  example,  some  races  of  peas  have 
purple  flowers,  others  white ;  these  behave  quite 
similarly  to  tallness  and  shortness.  The  purple 
flower  contains  a  factor  lacking  in  the  white ;  when 
therefore  purple  is  crossed  with  white,  the  purple 
colour  is  dominant  and  the  heterozygote  {F^  hybrid)  is 
purple.  Such  a  heterozygous  purple  if  self-fertilised 
yields  75  per  cent,  of  purple  oflspring  and  25  per  cent. 


62  HEREDITY  [ch. 

of  white  ;  the  whites  and  one  in  every  three  of  the 
purples  so  produced  are  'extracted'  homozygotes, 
being  pure  for  whiteness  or  purpleness  respectively, 
and  therefore  breeding-  true,  while  the  remaining 
purples  are  heterozygous  and  when  '  selfed '  will  give 
both  colours  among  their  ofispring. 

If  now  a  tall  purple-flowered  pea  is  crossed  with 
a  short  white-flowered,  the  heterozygous  offspring 
will  be  tall  with  purple  flowers,  for  both  these 
characters  are  dominant.  In  the  production  of 
their  gametes  (pollen-cells  and  egg-cells)  segregation 
will  take  place  between  tallness  and  shortness,  and 
between  purpleness  and  whiteness,  but  as  these  pairs 
of  characters  are  totally  independent  of  one  another 
they  may  be  associated  in  any  combination  as  long  as 
both  members  of  a  pair  do  not  occur  in  the  same 
gamete.  Gametes  will  thus  be  produced  of  four 
kinds ;  if  P  represents  purple,  p  its  absence  (white) ; 
T  tallness  and  t  its  absence  (shortness),  the  gametes 
produced  by  an  individual  heterozygous  in  both 
characters  will  be  PT,pT,  Pt,  pt,  with  equal  numbers 
of  each.  Since  these  will  meet  one  another  at  random 
in  fertilisation,  the  F^  generation  will  consist  of 
individuals  (zygotes)  made  up  of  all  possible  com- 
binations of  these  four  types  of  gametes,  viz.  in  the 
proportion  of  4.PpTt,  2PpTT,  2PPTt,  \PPTT; 
2Pptt,  \PPtt ;  2p27Tt,  \ppTT ;  \pptt 

Since  purple  is  dominant  over  white  and  tall  over 


v]  MENDELIAN  HEREDITY  63 

short,  the  first  four  types  of  zygote,  which  all  contain 
both  P  and  T,  will  be  purple  tails  ;  the  next  two 
containing  P  but  no  T  will  be  purple  short ;  the  two 
containing  T  but  not  P  will  be  tall  white,  and  the 
last  with  neither  P  nor  T  will  be  short  white.  The 
F2  offspring  will  thus  appear  in  the  ratio  of  9  purple 
tall,  3  purple  short,  3  white  tall,  1  white  short. 
Further,  of  the  first  group  one  will  be  homozygous 
in  both  characters  (PPTT),  four  homozygous  in  one 
and  heterozygous  in  the  other  (2PPTt,  2PpTT)  and 
four  heterozygous  in  both  (PpTt).  Of  the  remainder, 
one  in  each  class  will  be  homozygous  in  both  char- 
acters, and  the  others  heterozygous  in  one,  the 
homozygous  (pure)  types  being  PPtt,  ppTT  and 
pptt. 

It  is  clear  then  that  by  crossing  two  races  which 
differ  in  two  allelomorphic  characters,  and  self- 
fertilising  (or  mating  together)  the  crossed  individuals, 
in  the  F^  generation  a  definite  proportion  of  neiv 
pure  combinations  are  produced.  In  the  above 
example,  by  crossing  tall  purple  with  short  white, 
in  the  second  generation  not  only  these  types  are 
produced,  but  also  short  purple  and  tall  white,  and 
by  selecting  the  pure  (homozygous)  individuals  pure 
races  of  these  new  types  are  immediately  established. 
We  thus  obtain  a  new  conception  of  organic  char- 
acters, as  factors  which  can  be  replaced  by  alternative 
characters  without  otherwise  altering  the  constitution 


64  HEREDITY  [ch. 

of  the  organism.  The  process  is  comparable  with 
a  chemical  reaction,  where  one  element  may  replace 
another  in  a  compound  ;  for  example,  by  mixing  silver 
nitrate  with  sodium  chloride,  silver  chloride  and 
sodium  nitrate  are  produced.  Or  a  grosser  analogy 
may  be  taken  from  bricks  in  a  wall ;  a  red  brick  may 
be  removed  and  replaced  by  a  blue  or  a  yellow  one 
without  altering  the  rest  of  the  wall,  and  similarly  in 
pea-plants  by  the  process  described  white  flowers 
may  be  replaced  by  purple,  or  yellow  seed  by  green. 
After  the  fact  of  the  segregation  of  allelomorphic 
characters  in  the  production  of  the  germ-cells  of 
a  heterozygote,  the  most  striking  result  of  Mendcljan 
investigation  is  this  discovery  of  the  independence  of 
ohav^o.tf-.r'fi  hftlnnffvpfy  to  different  pairs. 

That  these  results  are  not  of  merely  academic 
interest  is  shown  by  the  work  of  Prof.  Biflen  on 
wheat.  Some  valuable  wheats  are  liable  to  the 
attacks  of  a  fungus  giving  rise  to  the  disease  called 
'  rust,'  other  less  valuable  races  are  immune.  Biffen 
has  found  that  by  crossing  the  two  races  together, 
fertilising  the  hybrids  (Fi)  among  themselves,  and 
selecting  the  homozygous  plants  in  the  Fo  generation, 
wheat  can  be  produced  which  combines  the  valuable 
features  of  one  race  with  the  immunity  to  rust  of  the 
other,  and  so  a  new  and  most  useful  variety  of  wheat 
is  produced.  This  is  only  one  out  of  many  examples 
that  could  be  given  of  the  possibility  of  combining 


V] 


MENDELIAN   HEREDITY 


65 


into  one  race  of  wheat  the  characters  previously  found 
in  different  varieties. 

The  chief  reason  that  breeders  of  plants  and 
animals  believe  that  tlie  race  is  permanently  con- 
taminated by  crossing  different  breeds  is  that 
commonly  two  breeds  differ  in  several  or  many 
pairs  of  characters.     If  two  pairs  of  allelomorphic 


Fig.  8.  A  cob  of  Maize  borne  by  an  Fi  plant  from  the  cross  smooth 
(starchy)  seed  x  wrinkled  (sugary)  seed,  fertilised  with  its  own 
pollen,  showing  about  three  smooth  (dominant)  to  one  wrinkled 
(recessive)  seeds  on  the  same  cob.     (From  Bateson.) 

characters  are  combined  in  the  heterozygote,  we 
have  seen  that  only  one  in  sixteen  of  its  offspring  is 
homozygous  for  any  particular  combination  ;  if  three 
characters,  one  in  64,  if  four  characters,  one  in  256, 
so  that  it  is  clear  that  Mendel's  method  of  consider- 
ing distinct  characters  separately  must  be  followed,  if 

D.  5 


66  HEREDITY  [ch. 

any  rules  are  to  be  arrived  at  for  the  distribution  of 
characters  among  the  offspring  of  hybrids. 

Before  proceeding  to  consider  some  of  the  further 
applications  of  Mendelian  inheritance,  a  few  examples 
will  be  given  of  characters  in  animals  and  plants 
which  are  found  to  be  inherited  according  to  this  law. 

In  plants,  flower-colour,  seed-colour  (due  to  either 
seed-coat  or  the  contained  embryo) ;  production  of 
starch  or  sugar  in  seeds  (maize,  see  fig.  8  in  which  both 
forms  of  seed  are  shown  on  the  same  cob) ;  hairiness 
or  smoothness  (stocks.  Lychnis,  etc.);  'bearded'  or 
'beardless'  ears  (wheat);  'palm-leaf  or  'fern-leaf 
(Primula) ;  long  or  short  styles  ('pin-eye'  and  'thrum- 
eye  '  of  Primula) ;  pollen-shape,  and  also  fertility  or 
sterility  of  anthers  (sweet-pea).  Many  other  examples 
could  be  given ;  it  should  be  noted  that  several  of 
these  normally  occur  in  nature,  e.g.  the  two  flower- 
types  of  the  primrose. 

In  animals,  coloured  coat  and  albino  (many 
mammals) ;  and  many  other  colour-characters  in 
mammals  and  birds  ;  normal  and  long  or  '  Angora ' 
hair  in  rabbit,  guinea-pig,  etc.  (some  doubt  as  to 
completeness  of  segregation) ;  comb-characters  in 
fowls ;  leg-feathering  in  pigeons ;  horned  and  horn- 
less condition  (sheep  and  cattle)  ;  colour-characters 
in  moths,  beetles,  and  snails.  In  man,  several 
abnormal  conditions,  and  presence  or  absence  of 
brown  pigment  in  the  iris  of  the  eye. 


v]  MENDELIAN   HEREDITY  67 

As  in  plants,  several  of  these  cases  are  not  in 
any  way  connected  with  domestication,  and  the  wide 
diversity  of  species  and  characters  in  which  Mendelian 
inheritance  has  been  discovered  shows  that  the  phe- 
nomena are  not  rare  or  exceptional,  but  universally 
distributed. 

It  has  been  mentioned  that  of  a  pair  of  allelo- 
morphic  characters,  one  is  regarded  as  containing  some 
factor  absent  from  the  other,  and  it  may  be  well  to 
give  an  example  of  the  kind  of  evidence  that  leads 
to  this  conclusion.  In  fowls  there  are  three  chief 
forms  of  comb;  'single'  with  a  median  serrated 
ridge,  'rose'  with  a  broad  upper  surface  covered 
with  papillae,  and  'pea'  with  a  shape  consisting 
essentially  of  three  parallel  low  ridges.  Rose  and 
pea  each  behave  as  dominants  to  single,  but  when 
rose  is  crossed  with  pea  a  fourth  type,  'walnut' 
results,  which  in  the  adult  is  swollen  and  dimpled, 
and,  in  the  young  at  least,  is  crossed  by  a  transverse 
band  of  bristles.  In  the  Malay  breed  such  '  walnut ' 
combs  breed  true,  but  when  made  by  crossing  '  rose ' 
by  'pea,'  and  mated  together,  the  resulting  chicks 
appear  in  the  ratio  of  9  walnut,  3  rose,  3  pea,  1  single. 
The  appearance  of  singles  in  the  F^  generation  from 
pure  rose  by  pure  pea  is  explained  by  the  '  presence 
and  absence '  hypothesis.  Rose  (R)  and  pea  (P)  are 
each  allelomorphic  with  their  absence  (r,  p).  A  rose- 
combed  bird  is  thus  Rp,  and   a   pea-combed  rP, 


B 


D 


Fig.  9.  Types  of  combs  in  Fowls.  A.  Single  Comb  (cock).  B.  Pea 
Comb  (cock).  C.  Pea  Comb  (hen).  D.  Eose  Comb  (cock). 
E.     Walnut  Comb  (young  cock).     (From  Bateson.) 


CH.  v]  MENDELTAN  HEREDITY  69 

and  the  walnut  combs  produced  by  crossing  them 
have  constitution  RrPp.  They  produce  four  kinds 
of  germ-cells,  RP,  Rp,  rP,  rp,  giving  the  normal 
ratio  in  i^a  of  9  birds  containing  R  and  P,  3  with 
R  and  p,  3  with  r  and  P,  1  rp.  This  rjJ,  containing 
neither  rose  nor  pea  is  single,  which  may  be  regarded 
as  the  normal  comb  with  no  other  factor  superposed 
upon  it. 

In  conclusion,  one  further  fact  should  be  noted. 
Although  the  members  of  an  allelomorphic  pair  differ 
from  each  other  in  that  one  contains  a  factor  lacking 
in  the  other,  and  this  present  factor  is  commonly 
dominant  over  its  absence,  yet  a  number  of  cases  are 
known  in  which  the  introduction  of  a  factor  from  one 
parent  only  is  not  sufficient  to  cause  its  full  develop- 
ment in  the  heterozygote.  The  crossed  offspring  are 
then  different  from  both  the  parental  types,  and  are 
commonly  intermediate  between  them.  But  when 
such  heterozygous  forms  are  mated  together  or  self- 
fertilised,  both  the  homozygous  parental  types  are 
produced  in  addition  to  the  heterozygous  form,  as  in 
the  offspring  of  a  heterozygous  tall  pea  there  occur 
homozygous  tails  and  shorts  in  addition  to  hetero- 
zygous tails.  The  classical  example  of  this  condition 
is  the  blue  Andalusian  fowl.  This  breed  cannot  be  bred 
true  ;  when  blues  are  paired  together  about  half  the 
chickens  are  blues  and  the  remainder  evenly  divided 
between  blacks  and  dirty-whites.     By  many  genera- 


70  HEREDITY  [ch.  v 

tions  of  selection  breeders  have  tried  without  success 
to  eliminate  these  black  and  white  'wasters/  but  it 
remained  for  Bateson  and  Punnett  to  show  that  if 
a  black  and  a  white  are  paired  together,  only  blues 
are  produced.  The  two  homozygotes  are  black  and 
white  respectively ;  when  these  are  paired  together 
the  single  black  factor  introduced  from  one  parent 
is  insufficient  to  cause  the  crossed  chicks  to  be  full 
black,  and  a  dilute  black  or  'blue'  results.  Such 
incomplete  dominance,  in  which  a  single  factor 
introduced  from  one  parent  is  insufficient  to  bring 
about  the  same  effect  in  the  heterozygote  that  is 
produced  by  the  'double  dose'  present  in  the 
homozygote,  has  been  observed  in  a  number  of  cases, 
some  of  which  must  be  referred  to  later. 


CHAPTER  VI 

MENDELIAN  HEREDITY  (rontinued) 
The  Inheritance  of  Colour 

In  the  simple  Mendelian  cases  discussed  in  the 
last  chapter  the  separate  allelomorphic  pairs  were 
described  as  wholly  independent  of  one  another,  and 
in  the  manner  of  their  inheritance  this  description  is 
correct  for  allelomorphic  pairs  in  general  except  in 
special  cases,  of  which  examples  will  be  given  later. 
But  although  allelomorphs  of  distinct  pairs  are  in- 
herited independently,  yet  not  infrequently  they  may 
react  upon  one  another  so  as  to  give  an  apparently 
combined  effect  in  the  individual  bearing  them. 
This  is  especially,  but  by  no  means  exclusively, 
seen  in  the  colour-characters  of  animals  and  plants. 
In  the  list  of  examples-  of  Mendelian  characters  it 
was  mentioned  that  coloured  coat  in  animals  or 
coloured  flowers  in  plants  behave  as  an  alternative 
to  whiteness  (albinism,  i.e.  the  absence  of  pigment). 
But  further  analysis  shows  that  the  appearance  of 
colour  depends  upon  the  presence  of  at  least  two 


n 


HEREDITY 


[CH, 


factors,  in  the  absence  of  either  of  which  no  colour 
is  produced.  An  actual  example  will  make  this 
clearer.  A  white  rat  is  mated  with  a  wild  (brown 
or  *gi'ey')  rat,  and  since  colour  dominates  over  its 
absence  the  F^  heterozygotes  are  all  grey,  like  wild 
rats.    These  gi'ey  heterozygotes  mated  together  give 

grey   x  white 


grey  x  grey 


3  grey 


\  white 
GGpp 


X        black 

BBPP 


grey 

GBPp 


X        grey 

GBPp 


9  grey 

1GGPP 
2GB  PP 
2GG  Pp 
4  GBPp 


3  black 

1  BBPP 
2BBP0 


4-  white 

7GG  pp 
2  GB  pp 
IBB  pp 


F4 


coloured  and  albino  in  the  ratio  of  three  to  one.  If 
now  one  of  these  extracted  albinos  is  mated  with 
a  black  rat,  the  offspring  may  not  be  black  but  grey, 
and  such  grey  individuals  paired  together  will  give 
young  in  the  ratio  of  9  grey,  3  black,  4  white. 

The  explanation  is  as  follows.     For  the  production 
of  colour,  two  factors  must  be  present,  one  for  the 


VI]  MENDELIAN  HEREDITY  73 

production  of  pigment  in  general  (P)  and  the  other 
for  the  determination  of  the  actual  colour  of  that 
pigment  (6^  =  grey,  J5  =  black).  Neither  G  nor  B 
can  produce  any  visible  effect  in  the  absence  of  P ; 
a  rat  without  P  (represented  by  p)  is  thus  an  albino. 
The  extracted  albinos  in  Pg  from  the  cross  wild  grey 
X  albino  then  contain  G  derived  from  their  wild 
grandparent.  These  mated  with  black  give  grep 
offspring  because  grey  is  dominant^  over  black,  and 
the  black  individual  introduces  the  factor  P  which 
was  absent  in  the  albino.  These  grey  rats  (generation 
Fs  in  the  diagram)  are  thus  heterozygous  in  the  pair 
of  factors  grey  and  black  (G  and  B)  and  in  the  factors 
presence  and  absence  of  P  (P  and  p).  They  will  thus 
produce  gametes  GP,  Gp,  BP,  Bp,  which  in  meeting 
at  random  will  give  9  zygotes  containing  G  and  P,  3 
containing  B  and  P,  3  containing  G  and  p,  1  con- 
taining B  and  p.  But  the  combinations  Gp  and  Bp, 
not  having  P,  are  albinos,  and  so  we  get  9  greys, 
3  blacks,  4  whites. 

If  in  the  example  just  given  nothing  were  known 
of  the  origin  of  the  white  rat  which  was  crossed  with 
the  black  (in  the  generation  marked  F^),  it  would  be 
said  that  a  white  variety  crossed  with  a  black  had 

1  This  explanation  has  been  simplified  by  the  omission  of  the  fact 
that  G  and  B  do  not  represent  factors  for  separate  pigments,  but  that 
G  consists  in  the  addition  of  a  pigment  to  hairs  already  containing  B. 
A  character  dominant  in  this  way  is  called  '  epistatic,'  see  below  p.  75. 


74  HEREDITY  [ch. 

produced  '  reversion  on  crossing '  and  tlie  young  had 
reverted  to  the  ancestral  wild  form.  It  is  not  of 
course  necessary  that  the  albino  used  to  produce 
such  a  'reversion'  should  itself  be  the  offspring  of 
a  grey ;  such  grey-bearing  albinos  may  be  bred 
together  for  an  indefinite  number  of  generations, 
and  still  carry  the  factor  (? ;  or  if  they  were  ori- 
ginally derived  from  a  black  stock  they  would  bear 
the  factor  B.  When  such  stocks  are  crossed  together 
heterozygous  GB  albinos  are  produced,  and  G  and  B 
segregate  from  one  another  in  the  albino  just  as  in 
the  coloured  rats  in  which  the  colour-factor  P  is 
present.  The  fact  that  colour  in  animals  and  plants 
depends  on  the  concurrent  action  of  distinct  factors 
thus  explains  the  phenomena  of  'reversion  on  crossing' 
which  have  so  long  been  a  puzzle  to  biologists. 

Among  the  varieties  of  the  brown  (grey)  rat 
only  two  colour  types  occur,  grey  (wild-colour)  and 
black,  but  in  the  rabbit,  mouse  and  other  animals 
more  are  found.  In  the  mouse  there  are  four  funda- 
mental colour-types,  yellow,  grey,  black  and  chocolate. 
The  behaviour  of  yellow  is  complicated  and  not  yet 
thoroughly  understood,  but  of  the  others,  grey  crossed 
with  either  black  or  chocolate  gives  grey  ;  black  with 
chocolate  gives  black,  and  chocolate  can  only  appear 
in  the  absence  of  all  the  others.  This  was  formerly 
described  by  saying  that  grey  was  dominant  over 
black  and  chocolate,  and  black  over  chocolate,  but 


VI]  MENDELIAN  HEREDITY  75 

this  is  inconsistent  with  the  hypothesis  that  allelo- 
morphs exist  always  in  pairs,  one  possessing  a  factor 
lacking  in  the  other.  More  correctly,  then,  each  colour 
is  allelomorphic  with  its  absence,  but  the  presence  of 
a  higher  member  of  the  series  obscures  or  prevents 
the  development  of  the  lower.  This  is  expressed  by 
saying  that  grey  is  'epistatic'  over  black  and  chocolate, 
and  black  over  chocolate.  Since  chocolate  is  the 
lowest  member  of  the  series,  it  has  been  suggested 
that  its  factor  is  indeed  the  pigment  factor  represented 
in  the  case  of  the  rats  described  above  by  the  symbol 
P,  and  that  in  other  colours  the  special  factors  are 
present  in  addition  \  In  grey  mice  yellow,  black  and 
chocolate  pigments  are  all  present  in  the  hairs,  but 
the  factor  for  'greyness'  causes  the  yellow  to  be 
restricted  to  certain  parts  of  the  hair.  In  black  mice 
both  black  and  chocolate  pigments  are  present,  but 
the  black  obscures  the  chocolate,  and  in  chocolate 
mice  this  pigment  alone  is  present. 

The  object  of  this  rather  special  digression  is  to 
show  how  the  hypothesis  of  a  series  of  colour-factors 
acting  together  can  completely  coordinate  the  pheno- 
mena of  colour-inheritance,  which  very  few  years  ago 
seemed  hopelessly  confused  and  subject  to  no  definite 
rules.  It  is  now  possible  to  forecast  with  accuracy  the 
results  of  a  pairing  between  individuals  of  diflPerent 

^  More  recently  a  still  lower  member  of  the  series,  producing 
'  orange '  in  the  absence  of  the  other  colour-factors,  has  been  described 
hy  Hagedoorn. 


0 


76  HEREDITY  [ch. 

colours,  if  the  constitution  of  the  parents  with  respect 
to  the  colour-factors  carried  by  them  is  known.  Some 
of  these  cases  have  been  exceedingly  difficult  to  elu- 
cidate because  it  is  often  impossible  by  inspection  to 
determine  the  constitution  of  a  given  individual.  This 
must  be  tested  by  suitable  matings  with  individuals 
of  colour  lower  in  the  series,  and  it  is  then  found  that 
the  results  observed  agree  closely  with  expectation. 

A  more  surprising  instance  of  'reversion  on 
crossing'  was  discovered  by  Bateson  in  sweet-peas. 
He  found  that  within  the  white  variety  known  as 
*  Emily  Henderson '  two  distinct  types  exist,  indis- 
tinguishable in  appearance,  which  when  crossed 
together  give  a  purple  closely  resembling  the  wild 
sweet-pea  of  Southern  Europe.  The  purple  rever- 
sionary form  in  the  first  cross,  (Fi),  self-fertilised, 
gives  in  the  next  generation,  (F2),  9  coloured  to  7 
whites.  The  explanation  is  that  some  plants  of  the 
white  form  lack  one  colour  factor  (called  by  Bateson 
'C');  others  lack  the  complementary  factor  'R,' 
which  if  present  with  C,  would  produce  red  pigment. 
Since  colour  can  only  appear  when  both  O  and  R  are 
present,  each  parental  form  is  white,  but  when  crossed 
together  O  and  R  are  combined  in  one  plant  and 
coloured  flowers  result.  The  allelomorphic  pairs  are 
C  and  its  absence  (c),  and  R  and  its  absence  (r) ;  the 
purple  heterozygote  is  thus  CcRr,  and  produces  four 
kinds  of  gametes  CR,  Cr,  cR,  cr.     These  mating  at 


VI]  MENDELIAN   HEREDITY  H 

random  give  offspring  in  the  ratio  of  9  with  C  and  /?, 
3  with  c  and  R,  3  with  G  and  r,  1  with  c  and  r.  But 
only  those  containing  both  G  and  R  can  produce  colour 
and  therefore  9  coloured  appear  to  7  white.  Further, 
among  the  coloured  individuals  of  F<i,  both  purple 
and  red  appear,  because  the  factors  G  and  R  together 
produce  only  red ;  to  get  purple  a  third  factor  for 
blue  (5)  must  also  be  present,  which  can  only  take 
effect  in  the  presence  of  both  G  and  R.  Since  B 
was  introduced  by  one  only  of  the  original  whites, 
the  i^i  purples  were  heterozygous  for  blue  as  well 
as  for  G  and  R  (with  fully  represented  constitution 
GcRrBh)  and  hence  among  the  Fo  plants  one  quarter 
contain  no  B  and  in  the  presence  of  G  and  R  are 
red\ 

1  In  this  account,  the  production  of  colour  (red)  is  described  as 
being  due  to  two  factors  (C  and  R).  The  recent  work  of  Miss 
Wheldale  [42]  on  the  chemical  nature  of  flower-colours  indicates 
that  the  essential  bodies  are  an  organic  base  or  '  chromogen '  and 
an  oxidising  ferment.  The  work  of  Chodat  and  Bach,  however, 
indicates  that  such  oxidising  ferments  must  contain  two  components, 
neither  of  which  alone  is  able  to  oxidise  the  chromogen  and  produce 
the  coloured  derivative — anthocyanin.  Both  kinds  of  white  sweet- 
pea  contain  the  chromogen,  but  it  seems  probable  that  one  component 
of  the  oxidising  ferment  is  present  only  in  one,  and  the  other  com- 
ponent only  in  the  other.  Hence  no  colour  can  be  produced  in  either. 
But  on  mating  the  two  whites  together,  the  mechanism  for  the 
oxidation  of  the  chromogen  is  again  complete,  and  red  colour 
(anthocyanin)  is  formed.  The  purple  colour  (represented  by  the 
additional  '  factor '  B)  is  due  to  a  further  stage  of  the  oxidation 
of  the  chromogen  than  when  only  red  is  produced.     In  some  white 


78  HEREDITY  [CH. 

In  the  account  given  above  of  the  colour-factors 
in  the  sweet-pea  it  has  been  shown  that  at  least  two 
separate  elements  are  required  to  produce  colour  (in 
this  case  red),  and  a  third  if  blue  is  to  be  present  in 
addition.  But  for  the  production  of  the  various  shades 
or  distribution  of  colour  further  factors  are  known, 
e.g.  for  the  intensification  or  dilution  of  colour,  and  for 
making  the  wing-petals  of  the  same  or  difierent  colour 
from  the  standard.  Similar  phenomena  are  concerned 
with  colour  in  animals,  of  which  domestic  varieties 
of  the  rat  provide  a  simple  instance.  Rats,  other 
than  albinos,  are  in  general  either  'self-coloured,' 
with  little  or  no  white  (this,  if  present,  is  confined 
to  the  ventral  surface),  or  'hooded,'  i.e.  white  with 

flowers  (snapdragon)  experiment  shows  that  the  chromogen  itself 
may  be  absent. 

As  the  purple  colour  in  sweet-peas  is  due  to  more  complete 
oxidation  of  a  chromogen  than  red,  so  in  animals  colour-physiologists 
find  that  the  series  yellow,  brown,  black,  may  represent  successive 
oxidation-stages  of  the  same  chromogen  by  the  same  ferment.  The 
various  colours  of  mice,  for  instance,  are  not  therefore  to  be  regarded 
as  necessarily  produced  by  different  ferments,  but  the  inherited 
'colour-factors'  determine  to  what  stage  the  oxidation  of  the 
chromogen  shall  be  carried.  Some  confusion  has  arisen  from 
the  assumption  that  the  '  factors '  postulated  by  students  of  heredity 
are  actual  specific  colour-ferments,  while  they  may  be  rather 
determinants  which  cause  the  oxidation  of  the  chromogen  to 
proceed  to  a  particular  stage,  and  may  be  compared  with  the 
factors  which  determine  the  production  of  a  rose-comb  or  single- 
comb  in  fowls. 


VI]  MENDELIAN  HEREDITY  79 

coloured  head  and  shoulders  and  a  coloured  stripe 
along  the  spine.  The  self  and  hooded  factors  are  an 
allelomorphic  pair  independent  of  colour,  so  that 
a  hooded  rat  may  be  black  or  grey.  The  factors  may 
also  be  borne  by  albinos,  and  when  very  young  an 
albino  bearing  the  factor  for  the  hood  may  be  dis- 
tinguished by  the  different  texture  of  the  hair  on 
the  head  and  shoulders,  giving  the  appearance  of 
a  water-mark  or  'ghost-hood.'  The  heterozygote 
between  self-coloured  and  hooded  patterns  differs  from 
either  parent,  being  black  above  and  white  below — 
the  so-called  '  Irish '  type  of  the  fancy.  Such  *  Irish  ' 
rats  bred  together  always  give  both  self-coloured  and 
hooded  rats  in  addition  to  Irish  among  their  progeny. 
A  similar  case  in  rabbits  is  that  of  the  well-known 
Dutch  marking,  which  seems  to  correspond  with  the 
hooded  condition  in  rats.  In  flowers  the  number  of 
such  characters  determining  the  nature  and  distribu- 
tion of  colour  may  be  considerable,  so  that  among 
the  offspring  of  a  cross  between  two  varieties  of 
Chinese  primulas  or  snapdi-agons  a  very  large 
colour-series  may  be  produced,  which  on  first  in- 
spection may  seem  a  continuous  series  from  the 
darkest  to  the  palest ;  but  careful  analysis  of  these 
cases  has  shown  that  the  different  factors  may  be 
recognised  and  isolated,  and  the  series  of  colours 
falls  strictly  within  the  rules  of  Mendelian  inherit- 
ance when  each  factor  is  considered  alone. 


80  HEREDITY  [ch. 

Hitherto  in  discussing  the  interaction  of  distinct 
pairs  of  factors  (allelomorphs),  colour  alone  has  been 
considered,  but  cases  are  known  where  colour  and 
a  structural  character  are  interdependent  in  the 
same  way.  Interesting  examples  of  this  are  known 
in  stocks  and  primulas.  When  a  certain  smooth- 
leaved  cream-flowered  stock  is  crossed  with  a  smooth 
white,  the  F^  plants  are  purple  and  hoary,  i.e.  they 
revert  to  the  ancestral  wild  purple  and  hoary-leaved 
stock.  The  purple  colour  appears  for  the  same  reason 
that  the  two  forms  of  white  sweet-pea  gave  purple  ; 
one  colour-factor  is  introduced  by  the  white  parent 
and  its  complement  by  the  cream  \  But  the  hoari- 
ness  appears  because  the  parents  contain  a  factor  for 
hoariness,  which  can  only  take  efiect  in  plants  with 
purple,  flowers.  The  parents  are  therefore  smooth 
although  they  contain  the  hoary  factor.  When  the 
Fx  hoary  purples  are  crossed  together,  the  F^  genera- 
tion consists  of  purple,  white  and  cream-flowered 
plants  in  the  expected  proportions,  but  only  the 
purples  are  hoary.  Smooth-leaved  purple  strains  do 
exist,  but  these  are  plants  lacking  the  hoary  factor 
altogether  ;  if  it  were  present,  it  would  appear  when- 
ever the  flowers  contain  purple  sap. 

^  The  cream-colour  is  due  to  a  quite  distinct  factor,  and  the 
pigment  is  in  special  bodies  (plastids)  in  the  cells  of  the  petals. 
The  purple  colour  is  due  to  a  pigment  dissolved  in  the  sap,  and 
is  independent  of  the  cream  plastid-colour. 


VI] 


MENDELIAN  HEREDITY 


81 


B 


Fig.  10.     Sections  of  Chinese  Primula  Flowers, 

A.  Long-style  ('  pin-eye  '). 

B.  Short-style  ('thrum-eye'). 

C.  Homostyle. 


I>. 


6 


82  HEREDITY  [ch. 

In  Chinese  Primulas  a  curious  case  of  inter- 
relation between  flower-colour  and  structure  has 
been  investigated  by  Bateson  and  Gregory.  They 
find  that  the  long-styled  and  short-styled  types  of 
flowers,  so  well  known  from  Darwin's  work,  are  an 
allelomorphic  pair,  short-styled  being  dominant.  But 
when  the  long-styled  factor  is  associated  with  a  con- 
dition in  which  the  yellow  eye  of  the  flower  is  enlarged 
to  cover  about  half  the  area  of  the  petals,  the  style 
remains  short,  although  the  anthers  occupy  the  typical 
long-styled  position  in  the  tube  of  the  flower.  This  con- 
dition is  called  'homostyle'  (fig.  10  C,  p.  81).  When  a 
short-styled  small-eyed  plant  is  crossed  with  homostyle 
large-eyed,  all  the  (Ft)  ofi*spring  are  short-styled  and 
small-eyed,  these  characters  being  dominant.  But  in 
the  second  generation,  (F2),  obtained  by  breeding  to- 
gether these  Fi  plants,  the  following  types  appear : — 

9  short-style  with  small  eye, 
3  short-style  with  large  eye, 
3  long-style  with  small  eye, 
1  homostyle  with  large  eye. 

The  long-styled  form  has  appeared  in  Fo_  from  short- 
style  X  homostyle,  because  homostyle  is  a  condition 
of  long-style  modified  by  association  with  the  large 
eye.  When  this  association  is  broken,  the  long-style 
appears. 

From  these  examples  of  the  interaction  of  distinct 


VI] 


MENDELIAN   HEREDITY 


83 


allelomorpliic  pairs,  many  more  of  which  are  now 
known,  it  will  be  seen  that  many  of  the  *  exceptions ' 
to  the  Mendelian  rule  which  have  been  recorded  may 


Fig.  11.     Some  of  the  types  of  flowers  in  generation  F»  from  the 
cross  short-style  (thrum)  small  eye  x  homostyle  large  eye. 

A.  Long-style,  small  eye.  B.  Homostyle,  large  eye.  C.  Short- 
style,  small  eye.     D.    Short-style,  large  eye. 

In  A  and  B  the  flowers  are  of  the  '  star '  type.  This  character 
is  inherited  independently  of  the  style  and  '  eye '  characters. 
(From  Bateson.) 

R— 2 


84  HEREDITY  [ch.  vi 

be  explicable  on  the  assumption  that  what  appears 
to  be  a  simple  character  is  really  dependent  on  two 
or  more  distinct  factors,  which  become  separated  on 
crossing  with  a  different  form. 

In  conclusion,  it  must  be  mentioned  that  a  number 
of  cases  are  now  known  in  which  a  pair  of  Mendelian 
characters  are  closely  associated  with  Sex.  In  some 
cases  the  sex  of  the  individual  determines  whether 
a  character  is  dominant  or  recessive  ;  for  example,  if 
a  horned  race  of  sheep  is  crossed  with  a  hornless,  the 
male  offspring  are  horned  and  the  females  hornless ; 
and  in  cats,  it  appears  that  yellow  crossed  with  black 
gives  yellow  males  but  tortoiseshell  females.  In  other 
cases  certain  Mendelian  characters  can  be  borne  only 
by  germ-cells  which  will  give  rise  to  one  or  the  other 
sex.  This  aspect  of  the  subject,  which  includes  some 
of  the  most  interesting  recent  advances  in  our  know- 
ledge of  Heredity,  will  be  considered  in  a  subsequent 
chapter  (ix),  after  some  other  questions  in  which  the 
sex-factor  is  not  directly  concerned  have  been  dis- 
cussed. 


CHAPTER  VII 

SOME   DISPUTED   QUESTIONS 

In  this  chapter  will  be  briefly  considered  certain 
questions  which  either  are  still  quite  unsettled,  or 
upon  which  there  is  stiU  active  disagreement  among 
biologists.  It  will  be  convenient  to  take  first  some 
which  are  closely  connected  with  the  Mendelian  theory 
of  heredity,  and  pass  on  later  to  others  which  are 
related  equally  to  any  theory  of  inheritance  which 
may  be  adopted. 

One  of  the  chief  lines  of  attack  on  the  Mendelian 
theory  has  been  the  proposition  that  the  absolutely 
complete  segregation  of  allelomorphic  characters  in 
the  germ-cells,  postulated  by  that  theory,  has  not 
been  proved.  If  the  theory  is  rigidly  true,  then  in 
the  case  of  a  tall  pea  crossed  with  a  short  (Chap,  v) 
the  homozygous  tails  and  shorts  among  the  ofispring 
of  the  cross  should  be  &»  pure  for  tallness  or  short- 
ness as  the  original  parents ;  neither  character  should 


86  HEREDITY  [ch. 

have  been  influenced  in  any  way  by  its  association 
with  the  other.  It  has  been  maintained  that  the 
Mendelian  categories  are  not  sufficiently  definite  to 
allow  such  a  statement  to  be  made  with  certainty. 
The  Mendelian  can  only  reply,  that  in  the  great 
majority  of  cases  the  '  extracted '  pure  individuals  in 
the  F2  generation  do  not  differ  recognisably  from 
the  original  parents  in  the  characters  considered, 
and  that  no  signs  of  impurity  can  be  found  in  later 
generations. 

There  are  however  instances  in  which  it  appears 
that  Mendelian  segregation  may  not  be  perfect.  It 
has  been  maintained  that  an  instance  of  this  is 
provided  by  hair-length  in  guinea-pigs.  When  a 
long-haired  ('Angora')  guinea-pig  is  mated  with 
a  short-haired,  the  F^  offspring  are  short-haired, 
shortness  being  dominant,  owing  perhaps  to  the 
presence  of  a  factor  which  prevents  the  growth  of 
the  hair  after  reaching  a  certain  length.  But  when 
such  Fi  (heterozygous)  short-hairs  were  mated 
together,  in  addition  to  apparently  pure  longs  and 
shorts,  animals  with  hair  of  intermediate  length 
were  produced,  and  these  crossed  back  with  pure 
long-hairs  gave  no  short-haired  young.  It  is  suggested 
that  the  long  and  short  characters  have  become  fused 
in  some  germ-cells,  segregation  being  incomplete  or 
non-existent,  so  that  germ-cells  bearing  the  mixed 
character  are  produced.    Again,  in  a  cross  between 


VII]  DISPUTED  QUESTIONS  87 

lop-eared  and  short-eared  rabbits,  young  with  ears  of 
intermediate  length  are  produced,  and  these  mated 
together  give  no  evidence  of  segregation  in  the  next 
generation.  From  these  and  some  other  similar 
observations  it  must  be  concluded,  either  that  in 
some  cases  there  is  incomplete  segregation  or  even 
complete  fusion  of  alternative  characters,  or  that 
what  appear  to  be  simple  characters  are  really  com- 
plex, and  that  the  true-breeding  intermediates  are 
formed  by  a  new  combination  of  elementary  factors. 
An  instance,  which  is  perhaps  similar,  will  be  men- 
tioned in  the  next  chapter  in  discussing  the  inheritance 
of  pigment  in  Man. 

A  second  question  with  regard  to  Mendelian 
segregation  has  at  present  received  hardly  any 
answer,  namely,  whether  the  apparently  'continuous' 
variations  such  as  were  illustrated  by  the  example  of 
Johannsen's  beans  (Chap,  iv)  segregate  according  to 
the  Mendelian  rule.  It  was  seen  that  each  'pure 
line,'  derived  by  self-fertilisation  from  an  individual 
plant,  has  its  own  type  about  which  the  size  of  the 
beans  borne  by  the  plant  fluctuates  ;  but  it  is  not 
known  whether,  when  two  plants  having  different 
types  (modal  sizes)  are  crossed,  segregation  takes  place 
between  the  two  types  in  the  formation  of  the  germ- 
cells  of  the  crossed  individual.  To  determine  this 
would  naturally  require  a  long  and  difficult  series  of 
experiments,  and  at  present  very  little  is  known  of 


88  HEREDITY  [ch. 

the  subject,  but  when  it  is  remembered  how  wide- 
spread and  in  what  varied  characters  segregation  has 
been  found,  it  would  not  seem  improbable  that  it 
should  occur  in  such  cases  also. 

Another  subject  which  Mendelian  investigation 
has  brought  into  prominent  notice,  and  which  has  led 
to  much  controversy,  is  the  kind  of  variation  which 
has  been  effective  in  the  process  of  evolution.  Darwin 
assumed  that  evolution  takes  place  by  the  preservation 
of  very  small  '  continuous  '  variations  which  occur  in 
a  direction  favourable  to  the  species,  but  even  among 
his  immediate  followers,  for  example  Huxley,  doubt 
was  expressed  whether  larger  step-like  variations  or 
'mutations'  may  not  have  been  operative.  Darwin 
rejected  this  idea  chiefly  on  the  ground  of  the  rarity 
of  such  mutations,  which  makes  it  inevitable  that  the 
mutating  individual  should  generally  mate  with  one 
of  the  normal  type,  and  so  it  was  supposed  that  the 
mutation  would  be  diluted  and  rapidly  lost.  But 
Mendelian  work  shows  that  this  dilution  does  not 
occur  in  simple  cases ;  the  offspring  of  the  cross 
between  the  mutation  and  the  type  produces  half  its 
germ-cells  bearing  the  mutation  to  its  full  extent, 
and  these  will  transmit  the  mutation  until  the  race 
may  become  widely  infected  with  it,  and  not  infre- 
quently individuals  both  of  which  possess  it  will  mate 
together.  If  the  mutation  be  dominant,  as  in  the 
case  of  the  well-known  black  variety  of  the  'Peppered 


VII]  DISPUTED   QUESTIONS  89 

Moth'  (Amphidasys  hetvlaria),  it  may  spread  rapidly 
until  it  becomes  common,  and  if  recessive  it  will 
equally  often  be  represented  in  the  germ-cells  of 
many  individuals  and  will  appear  when  two  which 
bear  it  mate  together.  In  either  case  if  the  mutation 
be  advantageous  it  may  be  preserved  at  the  expense 
of  the  type  by  natural  selection,  until  it  obtains  a 
firm  footing.  But  the  difficulty  has  naturally  been 
felt  that  the  marvellously  perfect  adaptations  which 
are  so  frequent  in  nature  cannot  be  imagined  to 
have  arisen  by  large  steps,  but  must  have  been  ac- 
quired gradually,  and  therefore  many  naturalists 
reject  the  suggestion  that  mutations  can  have  been 
largely  operative  in  evolution.  The  fallacy  here  is 
the  assumption  that  all  discontinuous  variations 
must  be  large  ;  the  case  of  Johannsen's  beans  shows 
that  essentially  stable  variations  occur,  which  pro- 
bably differ  from  mutations  only  in  their  small  extent, 
and  by  the  selection  of  such  'minute  mutations' 
the  wonderfully  perfect  structures  of  living  things 
might  be  produced.  It  may  perhaps  be  regarded  as 
hair-splitting  to  distinguish  between  minute  mutations 
and  fluctuating  variability,  but  the  distinction  lies  in 
the  nature  of  their  inheritance,  which  is  the  essential 
thing  in  evolution.  It  has  been  seen  that  no  selection 
within  the  'pure  line'  in  the  case  of  the  beans  has 
any  effect ;  for  progress  to  be  made,  a  new  mutation, 
small  though  it  might  be,  is  necessary. 


90  HEREDITY  [CH. 

The  problem  in  heredity  which  has  probably 
given  rise  to  more  controversy  than  any  other  is  that 
alluded  to  more  than  once  previously,  of  the  inherit- 
ance or  non-inheritance  of  acquired  characters,  that 
is,  characters  produced  in  the  individual  during  its 
life  by  the  action  of  some  sort  of  stimulus.  Some 
aspects  of  the  question  have  already  been  considered, 
and  from  what  has  been  shown  of  the  very  definite 
nature  of  the  inheritance  of  germinal  (inborn)  cha- 
racters, it  will  be  understood  why  students  of  heredity 
are  increasingly  disposed,  a  priori,  to  disbelieve  in 
the  transmission  of  acquirements ;  for  if  these  were 
transmitted  to  any  considerable  extent,  this  fact 
must  interfere,  one  would  suppose,  with  the  orderly 
appearance  in  the  offspring  of  the  characters  repre- 
sented in  the  germ-cells  of  the  parents.  But  at  the 
present  time  no  treatment  of  heredity  could  be  re- 
garded as  complete  without  some  mention  of  the  evi- 
dence which  has  been  adduced  in  favour  of  the 
transmission  of  such  characters.  Unfortunately,  the 
evidence  is  almost  always  capable  of  interpretation 
in  more  than  one  sense.  The  supporters  of  the  belief 
in  transmission  rely  largely  on  indirect  evidence, 
especially  on  the  difficulty  of  imagining  any  cause 
of  evolution  in  certain  directions  if  the  eflfects  of 
acquirement  are  excluded.  A  vast  literature  has 
grown  up  around  this  question,  of  which  only 
illustrative  examples  can  be  given.    In  animals  which 


VII]  DISPUTED  QUESTIONS  91 

live  in  the  dark  the  pigment  in  the  skin  is  frequently 
absent,  as  it  is  also  in  flat-fish  on  the  side  of  the  body 
which  lies  protected  from  light  on  the  sea-floor.  It  is 
said  that  pigment  in  such  cases  cannot  be  harmful,  and 
so  its  disappearance  is  not  due  to  natural  selection. 
But  pigment  very  generally  appears  in  response  to 
the  action  of  light,  and  so  it  is  supposed  that  the 
absence  of  the  stimulus  to  production,  acting  for 
many  generations,  has  caused  the  pigment  to  dis- 
appear. This  is  illustrated  by  the  well-known 
experiment  of  Cunningham  on  flat-fish.  The  young 
fish  is  pigmented  on  both  sides  of  the  body ;  it 
then  settles  on  one  side  and  the  pigment  on  that 
side  disappears.  Cunningham  reared  such  young 
fish  in  an  aquarium  lighted  from  below :  when  they 
settled  on  the  bottom  the  pigment  disappeared,  but 
if  kept  still  longer  exposed  to  light  from  beneath, 
the  pigment  began  to  come  back  again.  The  dis- 
appearance of  the  pigment,  although  exposed  to 
light,  proves  that  the  loss  is  hereditary  ;  its  return 
on  continued  exposure  to  light  is  interpreted  by 
Cunningham  to  mean  that  its  disappearance  was 
due  to  absence  of  light,  and  has  gradually  become 
hereditary,  but  that  the  process  can  be  reversed  by 
again  exposing  the  lower  side  to  the  action  of  the 
stimulus.  The  same  argument  has  been  used  with 
regard  to  the  colourless  skins  and  vestigial  eyes  of 
animals  living  in  caves ;  where  the  structure  is  use- 


92  HEREDITY  [ch. 

less  it  disappears,  and  the  most  obvious  cause  to 
assume  is  lack  of  use,  which,  acting  cumulatively 
through  many  generations,  has  become  hereditary. 
Such  evidence,  however,  is  only  presumptive,  it  does 
not  amount  to  proof,  and  on  the  other  side  may  be 
adduced  the  pigments  of  birds'  eggs.  Birds  which 
nest  in  holes  or  dark  places  usually  have  colourless 
or  slightly  coloured  eggs,  while  those  which  lay  in 
open  places  have  eggs  more  or  less  matching  their 
surroundings.  This  appears  closely  comparable  with 
the  condition  of  skin-colour  in  fishes  and  amphibians, 
and  yet  it  is  impossible  that  the  action  of  light  could 
have  any  direct  efiect  on  the  production  of  pigment 
in  birds'  eggs.  That  the  loss  of  pigment  in  each  case 
is  connected  with  its  uselessness  is  probable,  but  the 
birds'  egg  case  seems  to  show  that  it  is  not  due  to 
*  use-inheritance.' 

A  second  instance  of  the  indirect  evidence  for  the 
inheritance  of  acquired  characters  may  be  given,  that 
of  instinct.  Instincts  are  very  similar  to  firmly  rooted 
habits,  and  have  been  regarded  as  habits  which  from 
being  performed  through  many  generations  have 
become  hereditary.  There  can  be  no  doubt  that,  in 
the  higher  animals  especially,  instincts  may  be  rein- 
forced and  perfected  by  habit,  but  many  cases  can  be 
adduced  in  which  it  seems  impossible  that  habit  has 
played  a  part  in  the  evolution  of  an  instinct.  Many 
insects  have  exceedingly  perfect  and  complex  in- 


viij  DISPUTED  QUESTIONS  93 

stincts  in  connexion  with  egg-laying,  yet  the  process 
may  last  only  a  few  hours,  and  the  eggs  may  all  be  fully 
formed  and  ready  for  laying  before  the  insect  hatches 
from  the  pupa.  In  the  worker-bee,  too,  there  are  many 
admirably  developed  instincts,  and  also  structural 
features  which  might  be  thought  to  have  originated 
by  the  transmission  of  acquired  adaptations,  and  yet 
the  worker-bee,  except  in  rare  cases,  never  repro- 
duces itself,  but  is  produced  by  a  queen  and  a  drone 
with  structures  and  instincts  diiFerent  from  its  own. 
If  in  these  cases  we  find  perfect  instincts  which 
cannot  have  arisen  by  the  inheritance  of  acquire- 
ments, it  seems  unreasonable  to  assume  that  instincts 
in  other  species  must  have  arisen  in  this  way.  These 
two  cases  are  given  merely  as  examples  of  the  pre- 
sumptive evidence  that  has  been  brought  forward- 
It  is  admitted  that  the  process  of  evolution  would 
be  more  easily  comprehensible  if  the  inheritance 
of  acquired  characters  were  a  fact,  but  it  is  clear 
that  no  absolute  proof  of  its  existence  can  be  based 
on  cases  of  this  kind. 

Exact  experiments  on  the  possible  inherited 
efiects  of  acquirements  are  difficult  to  devise  so  as 
to  be  unequivocal,  and  most  have  given  negative 
results \    A  case  which  at  first  sight  seems  to  prove 

1  Experiments  on  moths  and  butterflies  have  been  mentioned  in 
Chapter  in ;  in  Bome,  notably  those  of  Fischer  with  the  Tiger  Moth, 


94  HEREDITY  [ch. 

the  inherited  eiFects  of  conditions  is  the  experiment 
of  Kellogg  in  starving  silkworms,  in  which  he  found 
that  when  the  caterpillars  were  starved  for  two 
generations,  the  third  generation,  even  if  well  fed, 
were  below  the  normal  size.  But  there  is  here  a 
possible  source  of  error,  that  the  eggs  produced  by 
starved  females  may  have  been  lacking  in  yolk,  so 
that  the  resulting  caterpillars  would  be  weakly  from 
the  beginning  and  never  overtake  the  normal  size. 
If  so,  the  apparent  effect  of  inheritance  of  bad 
conditions  would  be  due  really  to  poor  embryonic 
nourishment,  not  to  germinal  difference.  The  same 
explanation  might  apply  to  the  apparent  cumulative 
effects  of  under-feeding  in  man,  if  the  mother  cannot 
adequately  nourish  the  infant  before  birth.  The 
famous  experiments  of  Brown-Sequard  on  the  in- 
heritance of  artificial  injuries  in  guinea-pigs  must 
be  mentioned.  He  found  that  when  the  parents 
were  subjected  to  operations  of  various  kinds,  some 
of  the  young  showed  corresponding  abnormalities, 
especially  in  the  case  of  the  effects  of  certain  injuries 
to  the  nervous  system.  Subsequent  experiments 
however  have  not  completely  confirmed  his  results, 
and  there  is  reason  to  believe  that  where  they  have 


Arctia  cnja,  definite  evidence  for  the  transmission  of  modifications 
was  obtained,  but  this  may  have  been  due  to  direct  modification  of 
the  germ-cells  themselves. 


VII]  DISPUTED  QUESTIONS  95 

been  confirmed  there  are  other  possible  explanations 
of  the  apparent  transmission  of  the  effects  of  injury. 
For  example,  Brown-Sequard  found  that  when  the 
chief  nerve  of  the  leg  is  severed,  the  toes  become 
morbid  and  the  animals  frequently  nibble  them  away. 
A  small  percentage  of  the  offspring  of  guinea-pigs 
lacking  toes  from  this  cause  also  had  toes  missing. 
But  it  has  been  pointed  out  that  rodents  in  captivity 
sometimes  eat  off  the  toes  or  tails  of  their  young,  and 
if  the  mother  had  acquired  the  habit  of  nibbling  her 
own  toes,  she  might  bite  off  those  of  her  young 
shortly  after  birth  and  give  the  appearance  of  the 
inheritance  of  a  mutilation  [20,  29].  Evidence  has 
also  been  brought  forward  that  the  mutilation  of  the 
parents  may  cause  the  production  of  a  toxin,  which 
is  transmitted  directly  to  the  offspring,  and  causes 
abnormalities  to  appear  in  them  in  the  same  organs 
that  were  injured  in  the  parent. 

Quite  recently  Kammerer  [19]  in  Vienna  has  made 
some  remarkable  observations  on  salamanders  and 
a  species  of  toad  which  seem  to  support  the  idea  of 
the  inheritance  of  acquired  characters.  For  example, 
among  other  experiments,  he  finds  that  the  animals 
can  be  accustomed  to  lay  their  eggs  in  water  instead 
of  on  land,  and  tlie  young  become  modified  to  suit 
their  new  surroundings,  and  the  modifications  are 
progressively  increased  in  later  generations.  He 
points  out  however  that  most   of  his  results,  like 


96  HEREDITY  [ch. 

those  obtained  by  Tower  (Chap.  Ill),  may  have  been 
brought  about  by  the  action  of  environment  on  the 
eggs  at  the  time  of  maturation,  but  they  differ  from 
Tower's  in  the  regularity  of  their  appearance  and  in 
being  adaptive.  Further  work  in  this  direction  will 
be  awaited  with  interests 


•  Keference  must  also  be  made  to  the  work  of  Sumner  [32  a]  who 
finds  that  rats  kept  at  a  high  temperature  differ  in  several  particulars 
(proportions  of  the  body,  etc.)  from  those  kept  in  a  cold  room.  These 
characteristics  are  inherited  to  a  measurable  extent,  and  the  ex- 
planation offered  in  the  case  of  insects,  that  the  germ-cells  were 
directly  affected  by  the  temperature,  is  not  easy  to  apply  to  a  warm- 
blooded animal.  There  may  of  course  be  indirect  effects,  brought 
about  by  a  change  in  general  constitution,  but  the  admission  of  this 
hardly  differs  from  accepting  the  inheritance  of  acquired  characters. 
A  considerable  list  of  cases  of  the  transmission  of  environmental 
modification,  chiefly  but  not  entirely  in  plants,  is  given  by  M^Dougall 
[22  a].  An  important  contribution  to  the  subject  is  the  recently 
published  work  of  Boas,  reviewed  in  Nature,  Nov.  3, 1910,  p.  11.  He 
finds  from  a  study  of  the  children  of  European  immigrants  into  New 
York  that  whatever  the  racial  characters  of  the  parents,  the  children 
born  after  their  arrival  in  America  tend  to  approach  a  certain  type, 
and  approach  it  more  nearly,  the  longer  the  parents  have  lived  in 
New  York.  For  example,  the  children  of  a  long-headed  race  have 
progressively  shorter  and  rounder  heads,  the  longer  the  parents  have 
lived  in  America  before  their  children  are  born,  while  those  of  round- 
headed  parents  become  longer  so  as  to  approach  the  same  type. 
In  this  case  there  is  no  question  of  the  inheritance  of  'acquirements' 
in  the  ordinary  sense,  for  the  shape  of  the  parents'  heads  is  not 
affected ;  it  appears  that  either  the  germ-cells  or  the  young  childien 
themselves  are  affected  in  such  a  way  as  to  cause  them  to  approach 
a  characteristic  American  type  in  head-shape  and  other  characters. 


VII]  DISPUTED  QUESTIONS  97 

On  the  whole,  the  hypothesis  of  the  inheritance 
of  acquired  characters  must  be  regarded  as  'not 
proven/  and  our  increasing  knowledge  of  the  definite- 
ness  of  many  germinal  characters  makes  it  doubtful 
whether  it  can  be  a  factor  of  great  importance  in  the 
constitution  of  the  individual,  or  to  the  course  of 
evolution.  Some  further  evidence  in  this  direction 
will  be  given  in  the  next  chapter  \ 

A  few  minor  questions  remain.  One  of  these, 
which  has  played  a  considerable  part  in  biological 
literature,  is  the  alleged  phenomenon  called  Telegony. 

^  The  recent  evidence  which  has  been  brought  forward  on  the 
subject  warns  us  against  a  dogmatic  denial  of  the  possibility  of  the 
inheritance  of  acquired  modifications.  The  number  of  cases  recorded 
is  now  considerable,  in  which  adaption  to  changed  environment, 
either  of  structure  or  instinct,  appears  to  be  transmitted  to  the  next 
generation.  The  tendency  of  biological  thought  is  certainly  towards 
a  recognition  of  the  unity  of  the  organism  as  a  whole,  including 
its  germ-cells,  and  especially  where  the  organism  adapts  itself  to 
change,  it  seems  possible  that  this  adaptation  is  transmissible.  The 
belief  that  'somatic'  changes  could  not  be  transmitted  rests  largely 
on  the  idea  that  every  character  is  determined  by  a  'factor'  or 
determinant  in  the  germ-cell,  but  it  is  clear  that  any  character  is  not 
developed  directly  from  the  germinal  determinant,  but  by  the  relation 
existing  between  the  determinant  and  its  surroundings,  viz.  the  body 
of  the  organism.  If  the  surroundings  are  changed,  this  relation  may 
be  altered,  and  the  altered  relation  may  be  transmitted  to  the  off- 
spring, so  bringing  about  a  corresponding  change  in  the  character 
as  it  appears  in  the  next  generation.  How  far  such  changes  are  of 
real  importance,  and  whether  they  are  permanent  or,  so  to  speak, 
temporary  expedients  to  meet  changed  conditions,  is  still  an  open 
question.     Students  of  heredity  generally  would  take  the  latter  view. 

D.  7 


98  HEREDITY  [CH. 

It  was  formerly  believed,  and  the  belief  is  still  firmly 
held  by  fanciers  and  animal  breeders,  that  if  a  female 
of  one  breed  bears  young  by  a  male  of  another  breed, 
and  is  then  mated  with  a  male  of  her  own  kind,  the 
ofispring  of  this  second  mating  will  in  some  cases 
show  the  influence  of  the  first  sire,  and  instead  of 
being  pure-bred  will  in  some  respects  be  mongrels 
resembling  the  mongrel  offspring  of  the  first  mating. 
The  instance  of  this  made  classical  by  Darwin  is 
'Lord  Morton's  Mare,'  in  which  a  chestnut  mare  bore 
a  colt  by  a  quagga,  and  afterwards  two  colts  by  a 
black  Arab  stallion,  both  of  which  were  dun-coloured, 
and  bore  stripes  on  the  legs  and  in  one  colt  on  the 
neck  also  [7].  But  it  is  known  that  dun  horses  are 
frequently  striped  to  some  extent,  and  Ewart's 
well-known  work  with  zebras  [11],  in  which  it  was 
attempted  to  repeat  this  experiment,  gave  negative 
results.  The  belief  in  telegony  is  widely  held  among 
dog-fanciers,  and  many  cases  could  be  quoted,  but 
whenever  properly  controlled  experiments  have  been 
made,  no  evidence  of  telegony  has  been  forthcoming. 
The  belief  in  it  is  almost  certainly  due  to  the  habit 
of  generalising  from  individual  instances  ;  whenever 
a  case  occurs  which  appears  to  favour  the  belief,  it  is 
adduced  as  proof,  even  though  other  causes  may  have 
been  operative,  and  matings  in  which  no  evidence  for 
it  appears  are  passed  over  in  silence.  If  it  were 
a  genuine  phenomenon,   it  is  almost  certain    that 


VII]  DISPUTED  QUESTIONS  99 

conclusive  evidence  for  it  would  have  been  obtained 
in  the  numerous  breeding  experiments  recorded  in 
recent  years. 

Another  idea  very  widely  held,  but  apparently 
resting  on  no  better  evidence,  is  the  belief  in  maternal 
impressions,  especially  in  the  case  of  mankind.  By 
maternal  impression  is  meant  the  influencing  of  the 
child  by  events  affecting  the  mother  during  pregnancy. 
It  is  commonly  believed  that  if  a  pregnant  woman 
is  injured  in  any  part,  or  even  sees  an  injury  to 
another  person  so  as  to  excite  her  imagination,  the 
corresponding  part  in  the  child  may  be  abnormally 
developed,  or  may  bear  some  mark,  caused,  it  is 
supposed,  by  an  impression  conveyed  from  the 
mother.  More  general  still  is  the  belief  that  the 
temperament  of  the  child  is  influenced  by  the  mother's 
mental  condition  during  pregnancy.  This  latter  belief 
is  scarcely  susceptible  of  accurate  investigation,  but 
the  belief  in  bodily  marks  or  malformations  being 
due  to  corresponding  injury  to  the  mother,  or  to  her 
attention  being  strongly  attracted  to  that  part,  is 
almost  certainly  based  on  coincidence.  A  large 
number  of  children  are  born  with  some  abnormality, 
and  a  very  large  proportion  have  some  mark  on  the 
skin.  Many  mothers  during  pregnancy  undergo  some 
slight  accident  or  see  some  deformed  person,  and  thus 
it  must  happen  that  a  mark  on  the  child  will  often 

7—2 


100  HEREDITY  [CH.  vii 

roughly  coincide  in  position  with  the  part  affected  in 
the  parent.  If  every  coincidence  of  this  kind  is 
quoted  as  proof  of  the  reality  of  maternal  impression, 
and  the  cases  are  left  unheeded  in  which  no  relation 
can  be  found  between  abnormality  in  the  child  and 
events  affecting  the  mother,  it  is  natural  that  a 
belief  in  the  phenomenon  will  easily  take  firm  root. 
The  evidence  available  however  is  probably  insuffi- 
cient to  support  any  other  view  than  that  of  accidental 
coincidence. 


CHAPTER  VIII 

HEREDITY   IN   MAN 

In  the  chapters  dealing  with  the  various  aspects 
of  heredity  in  general,  a  number  of  instances  have 
been  given  illustrating  inheritance  of  various  cha- 
racters in  man,  and  the  province  of  this  chaptei* 
will  be  to  collect  and  add  to  these  cases,  so  as  to 
sketch  the  general  outlines  of  what  is  known  of 
human  inheritance.  It  has  been  seen  that  as  man 
differs  in  no  important  way  in  his  bodily  characters 
from  the  other  mammalia,  so  the  laws  governing  the 
variation  and  transmission  of  those  characters  are 
the  same  as  are  found  throughout  the  animal  and 
vegetable  kingdoms  wherever  they  have  been  in- 
vestigated ;  and  further  that  the  'mental  and  moral' 
attributes  of  man,  which  presumably  are  correlated 
with  physical  structures,  are  inherited  no  less  strongly 
than  the  bodily  features  themselves.  When  investi- 
gated by  the  biometric  methods,  the  stature,  span, 
length  of  fore-arm,  eye-colour,  and  certain  other 
physical  characters  or  measurements,  are  found  to 


102  HEREDITY  [ch. 

give  a  parental  correlation  and  thus  an  intensity  of 
inheritance  closely  similar  to  those  obtained  from 
the  study  of  various  animals  and  plants.  When 
various  non-measurable  and  less  definite  characters 
such  as  intellectual  ability,  hand-writing,  etc.  are 
investigated  by  the  same  methods,  a  similar  intensity 
of  heredity  is  found,  and  finally  the  same  is  true  when 
the  character  chosen  is  liability  to  certain  diseases, 
notably  tuberculosis  and  insanity,  or  such  abnormal 
conditions  as  congenital  deafness.  Since  these  latter 
conditions  have  been  only  briefly  alluded  to,  and  are 
of  such  fundamental  importance  for  the  well-being 
of  mankind,  the  evidence  may  be  referred  to  rather 
more  fully  here.  The  case  of  insanity  is  especially 
convincing,  for  it  is  not  open  to  the  objection  some- 
times made  with  regard  to  infectious  diseases  that 
the  cause  of  the  apparent  inheritance  of  the  condition 
is  the  exposure  of  the  child  to  infection  from  the 
parent.  It  must  be  remembered  that  there  are 
many  kinds  of  insanity,  in  one  of  which  at  least 
(chorea),  the  inheritance  appears  to  be  Mendelian, 
and  that  of  two  men  with  equal  tendency  to  mental 
aberration,  one  who  is  not  exposed  to  strain  may 
remain  normal  through  life,  while  another  under 
more  arduous  conditions  may  break  down.  But  the 
data  of  occurrence  of  insanity  among  tainted  stocks 
make  it  certain  that '  the  insane  diathesis  is  inherited 
with  at  least  as  great  an  intensity  as  any  physical  or 


VIII]  HEREDITY   IN  MAN  103 

mental  character  in  man.  It  forms... probably  no 
exception  to  an  orderly  system  of  inheritance  in 
man,  whereby  on  the  average  about  one-half  of  the 
mean  parental  character,  whether  physical,  mental  or 
pathological,  will  be  found  in  the  child.  It  is  accord- 
ingly highly  probable  that  it  is  in  the  same  manner 
as  other  physical  characters  capable  of  selection  or 
elimination  by  unwise  or  prudential  mating  in  the 
course  of  two  or  three  generations.'  (Heron  [10]). 
Similarly  for  congenital  deafness,  Schuster  writes 
'...that  striking  confirmation  has  been  obtained  of 
previous  work  on  widely  different  characters,  at  any 
rate  with  regard  to  the  correlation  between  father 
and  children,  and  mother  and  children.'    [31]. 

These  examples,  which  might  be  added  to,  of 
results  obtained  by  'biometric'  methods,  make  it 
sufficiently  clear  that  a  knowledge  of  the  facts  of 
inheritance  is  of  importance  to  mankind,  and  that 
the  further  collection  of  accurate  data  is  one  of  the 
most  needed  social  requirements.  Before  passing  on 
to  other  aspects  of  the  question  one  other  subject 
may  be  mentioned.  The  measure  of  resemblance 
in  these  characters  has  not  only  been  worked  out 
between  parent  and  child,  but  between  brothers 
and  sisters,  between  children  and  grandparents  and 
uncles  and  aunts,  and  between  cousins.  Some  esti- 
mate can  therefore  be  made  of  the  probability  of  an 
individual  being  afiected  if  his  relatives  are  known, 


104  HEREDITY  [ch. 

a  thing  which  should  not  only  be  useful  to  insurance 
offices,  but  to  all  thinking  men,  for  it  may  ultimately 
become  the  basis  for  deciding  on  the  propriety  of 
marriage  by  members  of  tainted  families.  In  general 
it  appears  that  the  resemblance  of  a  child  to  its  grand- 
parent is  rather  more  than  half  of  that  to  its  parent, 
and  that  the  resemblance  between  uncle  and  nephew, 
or  between  first  cousins,  is  very  slightly  less  than 
between  grandchild  and  grandparent. 

We  may  now  turn  to  definitely  discontinuous  cha- 
racters in  man,  some  of  which  are  clearly  Mendelian 
in  their  inheritance.  One  of  the  most  interesting 
cases  is  that  of  eye-colour.  Hurst  [17]  has  shown  that 
complete  absence  of  pigment  in  the  front  of  the  iris 
is  recessive  to  the  presence  of  pigment ;  that  is  to 
say,  that  two  pure  blue-eyed  people  have  only  blue- 
eyed  offspring,  but  that  a  blue-eyed  individual  married 
to  one  with  any  brown  or  yellow  in  the  iris  may  have 
children  with  pigmented  eyes  and  that  two  pigmented 
parents  have  pigmented  children,  with  or  without 
a  proportion  of  blue-eyed  in  addition.  Within  the 
pigmented  class  there  is  great  range  of  variation, 
from  a  small  yellow  rim  round  the  pupil  to  com- 
pletely dark  eyes,  and  the  relation  of  the  various 
pigmented  types  to  each  other  has  not  yet  been 
analysed.  But  that  the  characters  '  pigmented '  and 
'  non-pigmented '  are  a  Mendelian  pair,  his  evidence 
leaves  no  doubt.    This  is  thus  a  case  in  which  the 


VIII]  HEREDITY  IN  MAN  105 

occurrence  of  apparently  continuous  variation  within 
a  discontinuous  category  is  clearly  shown.  Of  other 
Mendel ian  characters  in  man,  colour-blindness,  com- 
plicated by  its  relation  Avith  sex,  has  already  been 


Fig.  12.     Bracbydactylous  bands.     (From  Bateson,  after  Farabee.) 

mentioned  and  is  further  considered  in  Chapter  ix. 
Several  cases  are  known  in  which  an  abnormality 
behaves  as  a  simple  dominant,  e.g.  the  condition  of 


106  HEREDITY  [ch. 

the  fingers  known  as  'brachydactyly,'  in  which  the 
fingers  have  one  joint  less  than  the  normal ;  congenital 
cataract,  and  probably  other  diseases  of  the  eye. 
Perhaps  the  most  remarkable  human  pedigree  ever 
collected  is  one  of  'night-blindness/  extending  through 
nine  generations  and  going  back  to  the  seventeenth 
century,  which  has  been  published  by  Nettleship 
(see  [1]).  The  condition  is  one  in  which  the  patient 
cannot  see  in  dull  light,  and  it  behaves  as  a  Mendelian 
dominant,  probably,  however,  with  some  complication, 
since  the  numbers  aflected  are  less  than  the  theore- 
tical expectation.  In  all  these  cases  in  which  the 
abnormality  is  dominant,  only  affected  individuals 
can  transmit  it ;  the  normal  members  of  the  family 
have  only  normal  ofi*spring,  a  condition  which  is  shortly 
summarised  as  'once  free,  always  free.' 

The  rule  that  the  affected  alone  transmits  will 
be  followed  only  when  the  condition  depends  on  a 
single  factor ;  if  it  depends  on  more  than  one,  or  if 
its  dominance  is  modified  by  sex  or  other  conditions, 
then  non-afiiected  individuals  may  have  affected  ofi- 
spring.  This  is  possibly  the  case  in  many  diseases  in 
which  it  appears  that  the  affection  is  dominant,  and 
yet  certain  non-affected  individuals  have  affected 
offspring,  and  in  such  examples  it  must  also  be 
remembered  that  the  disease  is  probably  not  always 
developed  in  people  in  whom  the  tendency  is  present ; 
the  tendency  may  be  there  but  the  conditions  required 


VIIl] 


HEREDITY  IN  JNIAN 


107 


f    <^    rfcT^^I^^®  (ifcc|3'iro«|6    ®  ^2...®?...$  ..^f!".!?.*!.^    ® 


IX\  /AX,' 


J 


I  I  I  J  I   Ml  I .^ _^     . 


I 


^  iM^ 


T — I — I     I       I — 1 — n 


I  I  r  I    /  I    I — I   I    V 1   rn  r-i    r^    r*-! 

OiC9909  cTd"  9  9  5        9cf^9ia®f  90 

1      /J^A^|^\^ 


I  @    ® 


€> 


I  I   I   I   I 


cf  Unaffected  male 
9    Unaffected  female 


^    Affected  male 
t    Affected  female 


I  Not  certainly  affected 
9    ^ 


f   3  females 

®    3  individuals,  sex  not  recorded 


Indicates  consanguinity. 


108  HEREDITY  [CH. 

to  bring  out  the  disease  may  be  avoided,  especially  if 
it  is  a  condition  not  present  at  birth,  but  appearing 
later  in  life.  This  kind  of  thing  may  perhaps  be 
illustrated  by  the  pedigrees  of  Retinitis  pigmentosa 
taken  from  Nettleship  (Bowman  Lecture,  1909  [23]) 
on  p.  105. 

The  disease  is  not  usually  present  at  birth,  but 
comes  on  at  a  varying  age,  sometimes  during  or  after 
middle  life,  and  it  will  be  seen  that  in  the  first 
pedigree  it  is  transmitted  only  by  affected  members 
of  the  family,  so  behaving  as  a  typical  Mendelian 
dominant.  In  the  second  pedigree,  however,  it  com- 
monly 'skips'  a  generation,  the  parents  of  affected 
individuals  usually  being  normal,  but  themselves 
children  or  sisters  of  those  who  are  affected.  The  fact 
that  in  both  families  (as  in  most  cases  of  this  disease) 
males  are  more  frequently  affected  than  females, 
suggests  that  there  is  some  complication,  and  this 
is  perhaps  connected  with  the  fact  that  in  one  family 
the  disease  behaves  as  a  simple  dominant,  while  in 
the  other  it  is  most  frequently  transmitted,  like 
colour-blindness,  through  normal  females  from  affected 
males.  These  pedigrees  are  given  as  examples  of 
the  somewhat  irregular  inheritance  of  diseased  con- 
ditions such  as  may  frequently  be  seen  in  the  medical 
journals  ;  many  of  them  are  probably  explicable  in 
the  ways  suggested  above. 

A   somewhat   different  group  of   phenomena  is 


VIII]  HEREDITY  IN  MAN  109 

illustrated  by  the  iiilieritance  of  pigmentation  in 
man,  in  skin-  and  hair-colour.  In  the  case  of  hair- 
colour,  Hurst  has  given  evidence  that  bright  red 
behaves  as  a  recessive  to  dark-coloured  hair,  and 
that  to  some  extent  at  least  segregation  takes  place. 
But  the  shades  of  haii'-colour  graduate  into  one 
another  so  continuously  that  it  is  impossible  to 
place  them  with  confidence  in  Mendelian  categories, 
and  further  the  colour  alters  so  greatly  between 
infancy  and  maturity  in  many  persons  that  classifi- 
cation is  difficult.  Many  children  for  example  have 
bright  red  hair,  in  whom  during  adolescence  the 
colour  deepens  to  brown,  while  other  members  of 
the  same  family,  whose  hair  has  hardly  diflered  from 
the  first  during  childhood,  keep  the  bright  red  until 
middle  life.  In  families  with  red  hair  we  may  see 
clear  evidence  of  segregation  between  red  and  dark 
brown  hair-colour,  but  the  differences  between  the 
originally  red-haired  individuals  show  that  some 
contain  a  darkening  factor  which  is  absent  in  the 
others.  Probably  then  in  human  hair-colour  there 
are  a  number  of  factors  which  interact  upon  one 
another  in  a  way  even  more  complex  than  in  the 
hair-colour  of  mice  mentioned  in  a  previous  chapter  ; 
and  where  rigid  experiment  is  impossible,  the  analysis 
of  these  factors  is  almost  hopeless.  The  same  remarks 
perhaps  apply  to  the  various  eye-colours  within  the 
class  with  pigmented  iris,  and  the  very  frequent  but 


no  HEREDITY  [ch. 

not  absolutely  perfect  correlation  between  dark  eye- 
colour  and  dark  hair  suggests  that  similar  factors 
may  perhaps  be  at  work  in  both  cases  \ 

The  inheritance  of  skin-colour  in  man  is  also  one 
of  the  cases  which  has  hitherto  defied  Mendelian 
analysis,  and  has  been  quoted  more  than  once  as 
disproving  the  universality  of  Mendelian  inheritance. 
When  a  *  white '  European  marries  a  negro,  the  ofi- 
spring  are  'mulattoes/  intermediate  between  the 
parents.  Mulattoes  however  are  not  all  alike,  some 
have  brown  skins  and  some  yellowish.  When  they 
marry  among  themselves  they  are  said  never  to 
produce  full  blacks  or  full  whites,  but  again  mulat- 
toes, who  however  vary  in  the  depth  of  their  colour. 
When  a  midatto  marries  a  white,  the  'quadroon' 
offspring  are  lighter  than  mulattoes  but  usually 
darker  than  Europeans  ;  there  is  evidence  however 
that  they  vary  considerably,  with  possibly  a  certain 
amount  of  discontinuity  between  the  darkest  and 
lightest.  Some  evidence  of  segregation  is  also  pro- 
vided by  the  occasional  instances  of  '  throw  back  * 
to  very  dark  skin  and  negi'oid  features  or  hair  among 
children  of  apparently  white  people  with  some  negro 
ancestry.  The  whole  problem  however  is  very  insuffi- 
ciently known,  and  the  difficulty  of  obtaining  reliable 

'  In  this  connexion  it  may  be  mentioned  that  two  recent  writers 
have  maintained  that  the  famous  'Habsburg  lip'  and  the  peculiar 
Jewish  physiognomy  are  Mendelian  characters,  the  former  dominant, 
the  latter  recessive  to  the  normal  type. 


VIII]  HEREDITY  IN  MAN  111 

data  is  doubtless  increased  by  race-prejudice.  Taken 
in  mass,  the  results  of  crossing  white  and  black  races 
seem  to  give  a  blended  inheritance  with  continuous 
variation  ;  but  as  has  been  seen  in  the  case  of  hair- 
colour  the  accurate  investigation  of  individual  families 
would  possibly  show  that  several  factors  were  con- 
cerned, and  that  in  the  later  generations,  only  when 
all  these  factors  are  combined  in  one  individual 
would  the  colour  be  identical  with  that  of  either  of 
the  original  races.  In  this  respect  crosses  between 
different  races  of  mankind  resemble  hybrids  between 
different  species  of  animals  or  plants,  except  that 
there  is  usually  no  sterility.  Most  of  the  Mendelian 
investigations  have  been  made  on  varieties  which 
differ  in  few  characters,  for  the  sake  of  simplicity, 
but  when  species  are  crossed  and  the  offspring  are 
fertile  so  many  diverse  characters  are  concerned,  of 
which  the  relation  to  one  another  is  not  generally 
known,  that  the  offspring  of  the  hybrids  may  con- 
tain no  individuals  closely  resembling  either  parent 
species.  This  has  been  explained  by  saying  that  only 
varietal  and  not  specific  characters  segregate  from 
one  another  on  the  Mendelian  scheme,  but  it  is  not 
improbably  due  to  the  multiplicity  of  characters  con- 
cerned, and  their  complicated  interrelations,  which 
makes  analysis  exceedingly  difficult.  It  is  also 
not  impossible,  when  germ-cells  differing  very  con- 
siderably in  constitution  combine  in  fertilisation, 
that  in  the  formation  of  the  germ-ceUs  of  the  next 


112  HEREDITY  [ch. 

generation  the  machinery  for  segregation  is  inade- 
quate.  Extreme  cases  of  this  are  possibly  the  cause  of 
the  frequent  sterility  of  hybrids,  but  it  may  be  that 
when  the  parental  differences  areinsufficient  to  prevent 
the  formation  of  fertile  germ-cells,  they  may  yet  be 
enough  to  interfere  with  normal  Mendelian  segregation. 
Certain  aspects  of  inheritance  in  mankind  have 
now  been  reviewed,  and  it  remains  briefly  to  indicate 
the  lines  on  which  our  knowledge  may  be  of  practical 
importance.     One  of  the  things  which  is  especially 
prominent  when  the  evidence  is  considered  as    a 
whole  is  the  exceeding  definiteness  or  determinancy 
of  the  process  of  heredity.     Given  parents  of  certain 
constitution,  it  can  be  said  with  confidence  that  on 
the  average  a  certain  proportion  of  their  offspring 
will  have  such  and  such  characters.     It  matters  not 
whether  the  character  considered  is  regarded  from 
the  standpoint  of  the  Biometrician  or  the  Mendelian, 
both  agree  that  what  is  present  in  the  germ-cell  will 
be  present  in  the  individual,  and  that  external  con- 
ditions as  a  rule  play  but  a  small  part  in  determining 
its  appearance.     The  Biometrician  finds  an  average 
value  for  the  intensity  of  inheritance,  and  shows  that 
it  is  sensibly  the  same  whether  the  character  con- 
sidered is  stature,  eye-colour,  ability,  or  tendency  to 
congenital  disease.     When  the  character  in  question 
is  a  simple  case  of  presence  or  absence,  the  Men- 
delian finds  that  it  is  present  in  a  definite  proportion 
of  the  children  of  affected  parents,  so  that  he  can  say 


VIII]  HEREDITY  IN  MAN  113 

with  confidence  that  among  the  offspring  of  a  parent 
who  has  congenital  cataract  or  abnormally  jointed 
fingers,  about  one-half  will  be  similarly  affected,  and 
there  is  no  hope  in  such  a  case  that  the  severity 
of  the  affection  will  diminish  in  later  generations. 
Where  the  disease  depends  on  several  factors,  it 
may  perhaps  be  eliminated  by  repeated  marriage 
with  untainted  stock,  but  in  such  cases  as  cataract 
or  colour-blindness  there  is  no  hope  of  this. 

It  is  commonly  supposed  that  inherited  disease 
arises  largely  from  the  cumulative  effect  of  bad 
conditions,  drink  and  the  like,  but  it  has  been  seen 
how  doubtful  it  is  whether  the  effects  of  such  things 
are  really  transmitted,  and  in  any  case  it  can  be 
proved  that  in  comparison  with  the  germinal  con- 
stitution, the  effects  of  environment  are  relatively 
insignificant.  Galton  was  one  of  the  first  to  illustrate 
this  by  the  study  of  twins.  Human  twins  are  of  two 
sorts  ;  in  one  case  they  arise  by  the  simultaneous 
development  of  two  ova,  as  in  the  litters  of  lower 
animals,  and  then  they  are  no  more  alike  than  other 
children  of  the  same  parents,  and  may  be  of  different 
sexes.  Twins  of  the  second  kind  are  probably  pro- 
duced by  division  of  one  ovum,  and  are  then  of  the 
same  sex  and  so  alike  as  to  be  called  'identical.' 
Such  identical'  twins  remain  through  life,  despite 
differences  of  environment,  more  like  one  another 
than  successively  born  brothers  commonly  are,  even 
D.  8 


114  HEREDITY  [CH. 

when  brought  up  in  precisely  the  same  surroundings. 
The  same  thing  has  been  shown  by  an  investigation  of 
school-children  in  relation  to  their  home  environment 
and  the  habits  of  their  parents.  From  a  study  of  over 
70,000  children  in  Glasgow,  classified  according  to  the 
employment  or  non-employment  of  their  mothers  in 
work  outside  the  home,  it  was  found  that  the  rela- 
tion of  their  height  and  weight  to  the  employment  or 
non-employment  of  the  mother  was  almost  negligible 
compared  with  the  relation  between  the  physical 
characters  of  the  mother  and  child.  Still  more 
surprising,  if  correct,  is  the  observation  that  no 
regular  relation  could  be  found  between  drinking 
habits  in  the  parents  and  the  health,  intelligence 
or  physical  development  of  some  1400  children  in 
the  schools  of  Edinburgh.  [Elderton,  10\]  Investi- 
gations of  this  kind  are  still  in  their  infancy,  and 
perhaps  more  urgently  needed  than  any  other  social 
data — and  it  would  be  rash  to  make  sweeping  general 
statements  from  the  little  that  has  been  done. 
Results  like  the  examples  quoted  make  one  doubt 

1  The  conclusions  arrived  at  from  this  investigation  have  been 
severely  criticised  from  both  the  medical  and  the  statistical  side,  and 
it  is  probable  that  the  statistical  material  used  is  not  capable  of 
yielding  a  decisive  answer  to  the  question  whether  drinking  habits 
in  the  parents  cause  deterioration  of  the  children  or  not.  Neverthe- 
less, the  fact  that  it  was  not  found  suggests  that  the  habits  of  the 
parents  are  relatively  unimportant  compared  with  the  nature  of  the 
stock  in  determining  the  character  of  the  children. 


VIII]  HEREDITY   IN  MAN  115 

whether  the  generally  accepted  statements  about  the 
degeneration  caused  by  unhealthy  conditions  or  drink 
are  really  at  all  reliable.  It  is  easy  where  insanity 
or  other  disease  occurs,  to  say  that  in  so  many  per 
cent,  of  the  cases  there  has  been  alcoholism  in  the 
ancestors,  and  that  therefore  alcoholism  is  a  cause  of 
insanity  ;  but  in  the  first  place  it  must  be  shown  that 
the  alcoholism  is  not  the  result  of  nervous  disorder, 
which  in  the  next  generation  appears  as  insanity^ ; 
and  in  the  second  place,  in  order  to  prove  a  causal 
connexion,  in  addition  to  this  it  must  be  shown  that 
insanity  is  actually  more  frequent  in  the  descendants 
of  drunkards  than  in  those  of  the  sober.  The  un- 
doubted evils  of  excessive  drinking  are  many  and 
obvious  enough,  but  it  does  not  follow  that  physical 
or  mental  degeneration  of  the  descendants  are  among 
them,  and  it  may  be  a  false  hope  to  suppose  that 
these  evils  could  be  removed  merely  by  the  abolition 
of  drink. 

The  same  sort  of  argument  may  apply  to  the 
undoubted  physical  and  mental  inferiority  of  our 
slum  population.  It  is  not  yet  proved  whether  this 
is  the  effect  of  miserable  surroundings,  or  whether 
the  '  unfit '  gravitate  to  the  worst  places  because  the 
more  fit  occupy  the  better.  These  are  problems 
which  society  has  as  yet  scarcely  attempted  to  face, 
and  yet  it  is  clear  that   on  their  correct  solution 

*  In  this  connexion  see  Barrington  and  Pearson  [10]. 

8—2 


116  HEREDITY  [ch. 

depends  the  central  question  of  social  reform.  If 
man  is  to  any  appreciable  extent  the  creature  of  his 
environment,  then  improved  conditions  will  improve 
the  race.  But  if,  as  the  study  of  heredity  suggests, 
though  it  would  be  rash  to  say  it  is  proved,  man 
is  almost  entirely  the  product  of  inborn  factors 
which  are  little  aflFected  by  environment,  then 
improved  conditions  may  only  encourage  the  pro- 
pagation of  the  degenerate,  and  the  race  as  a 
whole  may  go  back  rather  than  forward.  Respon- 
sible students  are  not  lacking  who  maintain  that  this 
is  already  taking  place.  It  is  said  that  the  increase 
of  insanity  which  is  believed  to  have  taken  place 
in  modern  times  is  due  to  the  provision  of  asylums 
where  the  insane  are  properly  cared  for  and  fre- 
quently discharged  as  'cured.'  When  the  insane 
were  treated  on  the  '  strait  jacket '  system  no  cure 
could  be  eflfected,  and  so  the  unfortunates  could  not 
recover  to  propagate  their  kind.  But  on  the  present 
system  it  not  infrequently  happens  that  the  insane 
are  enabled  to  bring  into  the  world  large  families,  so 
that  it  is  not  improbable  that  the  increase  in  number 
may  be  due  to  this,  rather  than  to  the  increased 
strain  of  modern  conditions.  No  one  would  advocate 
a  return  to  the  old  system,  but  some  restriction 
on  the  reproduction  of  the  mentally  deficient  is 
undoubtedly  demanded  by  modern  knowledge  of 
heredity. 


VIII]  HEREDITY  IN   MAN  117 

It  is  even  said  that  hospitals  and  the  feeding  of 
destitute  school-children  are  really  working  in  the 
direction  opposite  to  what  is  intended,  by  enabling 
the  degenerate  to  live  and  beget  families,  who  under 
harder  conditions  would  never  have  survived \  If  a 
child  is  to  survive  it  is  undoubtedly  better  that  he 
should  be  well  fed  and  cared  for,  but  looking  at  the 
matter  apart  from  all  sentiment,  it  is  quite  possible 
that  posterity  will  be  worse  rather  than  better  as  a 
result  of  such  institutions.  It  is  not  improbable  that 
future  generations  will  find  that  our  methods  for  the 
relief  of  distress  are  on  wrong  lines,  and  that  other 
means  must  be  found  for  dealing  with  the  problem, 
which  will  cure  the  evil  at  its  root  instead  of  attempt- 
ing to  alleviate  the  symptoms. 

Another  point  at  which  the  study  of  heredity 
touches  social  problems  is  the  treatment  of  criminals. 
It  is  becoming  recognised  that  a  large  proportion  of 
criminals  are  in  some  way  abnormal,  and  that  their 
crimes  are  due  not  to  evil  surroundings  nor  to  wilful 
perversity,  but  to  inherited  defects.  If  this  is 
actually  the  case,  penal  treatment  of  such  is  no  less 
cruel  than  similar  treatment  of  the  insane,  but  in 
both  cases  efforts  at  reclamation  or  cure,  followed 

^  It  is  of  course  not  suggested  that  all  or  even  the  majority  of 
those  who  receive  such  help  are  degenerate,  but  it  can  hardly  be 
doubted  that  a  very  high  proportion  of  the  '  unfit '  will  take  advan- 
tage of  it. 


118  HEREDITY  [ch.  viii 

by  liberty  and  encouragement  to  marry,  may  only 
lead  to  a  repetition  of  the  same  evils  in  the  next 
generation.  The  present  teaching  of  biology  is  per- 
fectly clear,  that  in  the  case  of  the  evils  mentioned 
above  and  many  others,  marriage  of  those  afflicted, 
and  to  a  less  extent  of  their  near  relatives,  involves 
a  grave  risk  of  transmitting  the  aflFection  to  descen- 
dants, and  80  of  inflicting  serious  injury  upon  society^ 

1  See  [43J. 


CHAPTER   IX 

HEREDITY  AND  SEX 

In  all  the  cases  discussed  hitherto  the  characters 
considered  have  been  transmitted  independently  of 
the  sex  of  the  parents  or  offspring.  The  results  of 
reciprocal  matings  have  been  identical,  and  the 
distribution  of  the  characters  among  the  offspring 
has  been  independent  of  their  sex.  It  is  well 
known,  however,  that  many  characters,  in  animals 
especially,  are  confined  to  one  sex  or  are  developed 
differently  in  males  and  females;  this  is  most  con- 
spicuously so  in  'secondary  sexual  characters,'  that 
is  to  say,  features  characteristic  of  one  sex  only  but 
not  in  any  way  directly  connected  with  reproduction. 
As  examples  may  be  mentioned  the  distinctive 
plumage  of  many  male  birds,  or  patterns  of  butter- 
flies, the  horns  of  male  mammals,  and  the  hair  on 
the  face  in  men.  Darwin  long  ago  showed  that 
such  distinctively  male  characters  may  be  transmitted 
through  the  female,  and  it  has  recently  been  shown 
that  for  Pheasants  the  converse  is  also  true.     Before 


120  HEREDITY  [ch. 

entering  in  greater  detail  into  the  discussion  of  such 
cases  it  will  be  simpler  to  consider  some  other  instances 
of  'sex-limited'  or  sex-modified  inheritance  which 
have  been  worked  out  in  recent  years,  and  which 
will  probably  throw  light  on  sexual  dimorphism  in 
general. 

It  has  been  seen  that  in  Mendelian  inheritance 
one  allelomorphic  character  is  commonly  dominant 
over  the  other,  but  that  many  cases  are  known  in 
which  dominance  is  partial,  and  it  is  probable  that  in 
some  instances  a  positive  or  'present'  character  may 
be  recessive  in  the  sense  that  it  cannot  appear  unless 
introduced  into  the  individual  (zygote)  from  both 
parents.  Now  recent  work  has  shown  that  some 
characters  are  dominant  in  one  sex  but  recessive  or 
only  partially  visible  in  the  other  (when  heterozygous). 
One  of  the  first  cases  of  this  to  be  discovered  was  the 
Tortoiseshell  and  Yellow  Cat,  and  although  there 
are  probably  complications  in  this  instance  which  are 
not  fully  worked  out,  yet  it  is  fairly  certain  that  in 
cats  which  are  in  constitution  heterozygotes  between 
yellow  and  black,  in  males  the  yellow  is  completely 
dominant,  but  in  females  the  dominance  is  partial, 
giving  tortoiseshell.  That  is  to  say,  in  yellow-black 
heterozygotes,  in  males  the  yellow  colour  completely 
suppresses  the  black,  but  in  females  the  black  appears 
with  the  yellow.  Thus  tortoiseshell  cats  are  almost 
invariably  females,   the   corresponding  males  being 


IX]  HEREDITY   AND   SEX  121 

yellow.  A  more  completely  known  case  is  that  of 
horns  in  Sheep.  If  a  sheep  of  a  breed  in  whicli  both 
sexes  bear  horns  is  mated  with  one  of  a  completely 
hornless  breed,  among  the  F^  offspring  the  rams  bear 
horns  and  the  ewes  are  hornless.  Such  F^  young  bred 
together  give  in  F^  both  horned  and  hornless  males 
and  females,  and  all  the  horned  ewes  and  hornless 
rams  are  homozygous  and  breed  true,  while  the  horn- 
less ewes  and  horned  rams  may  be  either  pure  or 
heterozygous.  Here  we  have  a  clear  case  of  a  character 
which  is  dominant  in  one  sex  (male)  and  recessive  in 
the  other  (female). 

In  such  a  case  as  this  it  may  be  said  that  the 
character  is  transmitted  independently  of  sex,  but  its 
appearance  in  heterozygous  oifspring  is  modified  or 
controlled  by  the  sex  of  the  individual.  Both  males 
and  females  receive  the  character  alike,  but  it  appears 
in  males  while  it  is  suppressed  in  females  of  the  same 
constitution. 

In  another  important  group  of  cases  the  actual 
distribution  of  the  character  among  the  offspring  is 
determined  by  their  sex,  and  a  study  of  such  throws 
important  light  upon  the  vexed  question  of  sex-deter- 
mination and  the  nature  of  sex  itself.  As  an  instance 
of  this  we  will  first  consider  one  of  the  best-known 
examples,  that  of  the  inheritance  of  the  variety 
lacticolor  in  the  common  Currant  Moth  {Abraxas 
grossidariata).    The  very  rare  variety  lacticolor  is 


122  HEREDITY  [CH. 

found  wild  almost  solely  in  females.  When  mated 
with  a  typical  (grossulariata)  male  all  the  offspring 
of  both  sexes  are  typical,  i.e.  the  type  is  completely 
dominant  over  the  variety  lacticolor.  When  two  such 
heterozygous  individuals  are  paired  together,  lacticolor 
appears  as  would  be  expected  in  about  one  quarter 
of  the  offspring,  but  all  the  lacticolor  si^ecimens  are 
females.  When  a  lacticolor  female  is  mated  with  a 
heterozygous  male,  half  the  males  and  half  the  females 


JFig.  13.     Abraxas  grossulariata  and  its  var.  lacticolor. 

are  lacticolor,  that  is  to  say,  by  this  mating  alone  can 
the  lacticolor  character  be  transferred  to  the  male  sex. 
Lact.  male  x  lact.  female  gives  only  lact.  in  both  sexes, 
as  would  be  expected  from  two  recessives  paired  to- 
gether, but  lact.  male  by  heterozygous  female  gives  all 
the  females  lact.,  all  the  males  typical  (heterozygous) 
grossulariata.  Using  the  abbreviations  L  for  variety 
lacticolor,  G  for  the  typical  grossulariata  character, 
G  {L)  for  heterozygous  grossulariata,  ^  for  male. 


IX]  HEREDITY  AND   SEX  123 

and  $  for  female,  these  results  may  be  summarised 
thus: 


1. 

L^xG  $ 

gives  gross.  (^ ,  gross.  $ . 

2. 

G{L)2^G{L)$ 

gives  gross.  $ ,  gross.  9 ,  lact.  $ . 

3. 

L^xG{L)  $ 

gives  gross.  ^,lact.  $, gross.  2,lact.  $ 

4. 

G(L)  ?xZ  cJ 

gives  gross.  $,  I  act.  $. 

5. 

L  <^xL  S 

gives  lact.  ^,  lacL  ?. 

The  important  points  about  these  facts  are  that 
lacticolor  is  clearly  a  recessive  variety  when  crossed 
with  grossidariata,  but  the  distribution  of  the  char- 
acter among-  the  sexes  is  dilJerent  in  the  reciprocal 
crosses,  nos.  3  and  4  above.  The  only  explanation 
that  has  been  offered  to  account  for  this  is  that 
females  lay  two  kinds  of  eggs,  one  destined  to  become 
males  and  the  other  to  become  females,  and  that  the 
female-bearing  eggs  cannot  carry  the  grossidariata 
factor.  Thus  in  mating  no.  4  above  (using  G  and  L 
for  gross,  and  lact),  the  heterozygous  {G  (L))  female 
produces  male  eggs  bearing  G  and  female  eggs  bearing 
L ;  all  the  spermatozoa  (germ-cells)  of  the  male  bear 
L,  and  thus  the  offspring  are  GL  (=  gross.)  males 
and  LL  (=  lact.)  females.  But  in  the  converse  cross 
no.  3,  the  lact.  female  (LL)  produces  male  and  female 
eggs  both  bearing  L,  the  heterozygous  (GL)  male 
produces  equal  numbers  of  G  and  L  spermatozoa, 
and  thus  the  offspring  are  GL  and  LL  males,  GL  and 
LL  females.    We  thus  arrive  at  the  conclusion  that 


124  HEREDITY  [CH. 

in  this  species  at  least  the  sex  is  determined  by  the 
egg  of  the  female  parent,  even  before  fertilisation. 

Perhaps  the  most  remarkable  fact  in  the  whole 
case  remains  to  be  mentioned,  that,  as  far  as  experi- 
ment has  shown,  pure  (homozygous)  females  of  the 
moth  A.  grossulariata  do  not  exist;  all  the  wild  and 
apparently  pure  gross,  females  that  have  been  tested 
by  pairing  with  lact.  males  have  given  lact.  female 
and  gross,  male  offspring,  so  showing  that  they  are  in 
constitution  GL.  Since,  however,  wild  males  are 
pure  gross.  (GG)  and  since  GL  females  produce 
(j-bearing  male  eggs  and  iy-bearing  female  eggs,  the 
lact.  (L)  factor  never  normally  becomes  transferred 
to  the  male  sex.  Similar  cases  have  been  discovered 
in  the  inheritance  of  pink  eyes  in  Canaries,  and  more 
recently  for  more  than  one  pair  of  characters  in 
Fowls.  Of  the  latter,  the  most  noteworthy  is  the 
barring  of  the  Plymouth  Rock,  for  which  all  barred 
hens  are  found  to  be  heterozygous  when  mated 
with  an  unbarred  (black)  cock. 

The  essential  feature  of  the  explanation  given 
above  is  that  eggs  of  two  kinds,  male-producing  and 
female-producing,  are  laid  in  equal  numbers,  and  that 
the  character  for  femaleness  cannot  be  associated  in 
the  same  egg  with  the  gross,  factor,  so  that  female- 
bearing  eggs  must  always  bear  lact.  The  case  is 
probably  comparable  with  the  'gametic  coupling' 
which  has  been  found  between  characters  belonging 


IX]  HEREDITY  AND   SEX  125 

to  diiferent  allelomorphic  pairs  in  the  sweet-pea  and 
other  flowers,  quite  apart  from  sex.  Sweet-pea 
flowers  are  of  two  shapes,  with  'erect'  standards 
or  with  'hooded'  standards.  The  erect  character 
is  dominant  to  the  hooded.  Among  the  off^spring 
of  certain  sweet-peas  heterozygous  for  this  pair 
of  characters  and  also  for  purple  and  red  flowers,  the 
purple  ofispring  include  both  erect  and  hooded 
standards,  but  the  reds  are  nearly  all  erect.  This 
means  that  in  the  formation  of  the  germ-cells  the 
purple  factor  and  the  erect  factor  go  into  diflferent 
germ-cells,  so  that  instead  of  four  kinds  of  germ- 
cells  being  produced  in  equal  numbers,  two  are 
produced  in  great  excess,  viz.  purple-hooded  and  red- 
erect.  These  meeting  at  random  give  purple-hooded, 
purple-erect  and  red-erect,  but  hardly  any  red-hooded. 

It  has  recently  been  discovered  by  Bateson  and 
Punnett  that  the  purple  and  erect  factors  go  chiefly 
into  difierent  germ-cells  if  introduced  into  the 
heterozygote  by  diflerent  parents,  but  are  '  coupled ' 
together  and  go  into  the  same  germ-cell  if  introduced 
from  the  same  parent.  In  the  case  of  the  Currant 
Moth  the  G  character  is  always  introduced  into  the 
female  from  the  male  and  possibly  for  this  reason  is 
never  borne  by  female-bearing  eggs. 

It  has  been  seen  that  the  case  of  the  Currant 
Moth  and  the  similar  cases  in  Fowls  and  Canaries  lead 
to   the  inevitable  conclusion  that  in  these  animals 


126  HEREDITY  [ch. 

there  are  two  kinds  of  eggs,  male-bearing  and  female- 
bearing.  In  other  cases,  however,  exactly  similar 
evidence  shows  that  the  germ-cells  of  the  male 
(spermatozoa)  are  of  two  kinds.  The  example  of  this 
which  has  been  most  fully  worked  out  is  the  Fly 
Drosophila,  in  which  a  series  of  remarkable  dis- 
coveries have  been  made  in  America  by  Morgan.  He 
has  found  several  sex-limited  characters,  perhaps  the 
simplest  of  which  is  eye-colour.  The  normal  flies 
have  red  eyes ;  a  white-eyed  male  appeared  and  when 
mated  with  a  red-eyed  female  gave  only  red-eyed 
oflfepring,  both  males  and  females.  When,  however, 
these  were  mated  together,  all  the  female  oflPspring 
were  red-eyed,  but  about  half  the  males  had  white  eyes. 
A  white-eyed  male  mated  with  a  heterozygous  red- 
eyed  female  gave  red  and  white  eyes  in  both  sexes, 
but  any  red-eyed  male  mated  with  a  white- eyed 
female  gave  all  the  males  white,  all  the  females  red- 
eyed.  This  case  then  is  in  every  respect  precisely 
the  converse  of  what  is  found  in  the  Currant  Moth ; 
the  males  must  be  heterozygous  for  a  sex-determiner, 
and  the  red  factor  in  the  male  is  transmitted  only  to 
the  female  offspring. 

Apparently •  similar  conditions  are  found  in  Man 
in  certain  diseases  of  the  eye,  e.g.  colour-blindness 
and  certain  forms  of  night-blindness,  and  in  the  disease 
known  as  Haemophilia.  Here  the  affected  male 
appears  to  transmit  the  factor  for  the  disease  only  to 


IX]  HEREDITY  AND  SEX  127 

his  daughters,  for  sons  of  aflected  men  are  normal 
and  do  not  transmit,  while  the  daughters  of  affected 
men,  though  not  themselves  affected,  transmit  the 
disease  to  some  of  their  sons. 

The  suggested  explanation  is  that  '  normality '  is 
represented  by  a  factor  for  which  the  female  is 
homozygous  (NN),  the  male  heterozygous  (Nil).  If 
in  the  male  the  normality  factor  N  is  replaced  by  the 
factor  for  colour-blindness,  for  example  (C),  it  will 
cause  the  appearance  of  the  disease  in  the  male  for 
there  is  no  second  N  to  counteract  C.  The  male 
transmits  N  or  C  only  to  his  daughters,  but  a  woman 
who  receives  C  from  her  father  will  receive  N  from 
her  mother,  and  so  will  not  be  colour-blind.  She  will 
transmit  C,  however,  to  half  her  children,  so  that 
some  of  her  sons  will  be  colour-blind.  This  is  illus- 
trated in  the  following  scheme. 

?  NN        X  ^  On 

normal  woman  //\  colour-blind  man 

X       \ 

%CN  X  ^  Nil 

heterozygous  /\  normal  man 
woman  y         \ 

%CN'%NN  ^  Cn  J^i 

In  the  fly  Drosophila  and  in  Man,  then,  it  is  clear 
that  the  germ-cells  of  the  male  must  be  of  two  kinds, 
while  we  have  seen  that  precisely  similar  evidence 


128  HEREDITY  [ch. 

from  a  moth  and  two  kinds  of  birds  shows  that  in 
them  the  female  produces  two  kinds  of  germ-cells. 

The  conclusion  has  been  drawn  by  some  students 
of  the  subject  that  in  the  Moth,  Canary  and  Fowl  the 
egg  determines  the  sex  of  the  offspring,  while  in  Man 
and  the  fly  Drosophila  the  spermatozoon  determines 
the  sex.  There  is  some  evidence,  however,  that  both 
modes  of  inheritance  may  exist  in  Fowls,  which  would 
contradict  this  supposition,  and  for  this  and  other 
reasons  it  is  perhaps  more  likely  that  in  animals 
generally,  and  probably  in  plants  also,  there  are  two 
kinds  of  egg-cells  (germ-cells  produced  by  the  female) 
and  two  kinds  of  spermatozoa  (germ-cells  of  the  male) 
and  that  an  egg-cell  destined  to  produce  a  female  is 
fertilised  by  a  spermatozoon  of  one  kind,  a  male- 
producing  egg  by  a  spermatozoon  of  the  other  kind. 
The  facts  in  any  case  indicate  that  the  determiners 
for  maleness  and  femaleness  are  comparable  with 
Mendelian  characters,  which  segregate  from  each 
other  in  the  formation  of  the  germ-cells  as  do  the 
'factors'  for  Mendelian  allelomorphs.  For  a  more 
detailed  presentation  of  this  hypothesis  and  the 
evidence  on  which  it  rests,  the  reader  must  be  referred 
to  the  works  cited  in  the  bibliography  [especially  2, 
9a,  226,  43a]. 

It  will  be  noticed  that  in  the  description  of  the 
nature  of  sex-determination  here  barely  outlined,  the 
sex   of  an  individual  is  regarded  as  being  no  less 


ixl  HEREDITY  AND  SEX  129 

irrevocably  determined  by  the  factors  contained  in 
the  germ-cells  than  is  the  appearance  of  an  inherited 
Mendelian  character.  This  view  is  opposed  to  the 
older  belief  that  the  sex  is  determined  by  nutrition 
and  other  environmental  conditions  acting  on  the 
embryo  or  larva.  It  may  be  well  therefore  to 
summarise  the  evidence  for  the  belief  that  sex  is 
essentially  inherited,  and  not  determined  by  conditions. 
The  evidence  is  of  several  distinct  kinds.  In  the  first 
place,  in  a  variety  of  animals  (and  in  Man  in  the  case 
of  'identical  twins'),  whenever  one  egg  divides  to 
form  two  or  more  individuals,  these  are  always  of  tiie 
same  sex.  Secondly,  several  animals  belonging  to 
widely  diverse  groups  produce  two  kinds  of  eggs,  one 
yielding  males,  the  other  females,  and  in  these  cases  the 
sex  is  clearly  determined  before  development  begins. 
Thirdly,  in  the  Bee  and  other  forms,  a  fertilised  egg 
yields  females,  an  unfertilised  egg,  males ;  in  this  case 
fertilisation  appears  to  determine  the  sex,  but  condi- 
tions operating  later  have  no  power  to  change  it.  In 
all  these  widely  distributed  cases  we  have  direct 
evidence  that  sex  is  determined  from  the  fertilisation 
of  the  egg  or  before  it,  presumably  by  'sex-deter- 
minants' present  in  the  germ-cells. 

Evidence  of  a  different  nature  has  been  afforded 
by  the  study  of  the  development  of  the  germ-cells, 
especially  but  not  exclusively  in  Insects.  In  the 
nucleus  of  the  developing  cell  in  a  number  of  species 

D.  9 


130  HEREDITY  [ch. 

it  is  found  that  the  bodies  known  as  chromosomes  (see 
Appendix,  pp.  140,  146)  have  an  even  number  in  the 
female  and  one  less  in  the  male,  for  example  in  one 
case  22  in  the  female  and  21  in  the  male.  In  the 
female  two  of  these  difler  visibly  from  the  rest,  in  the 
male  there  is  one  odd  one,  the  remaining  twenty  being 
like  the  corresponding  twenty  of  the  female.  At  the 
*  maturation  divisions,'  when  the  chromosome  number 
is  halved,  11  go  into  each  mature  egg,  but  in  the 
male  the  odd  one  goes  into  half  the  spermatozoa,  leav- 
ing the  other  half  without  it.  All  eggs  thus  contain 
10  +  1,  but  spermatozoa  are  formed  in  equal  numbers 
having  10+1  and  10.  In  fertilisation  then  two  kinds 
of  zygotes  will  be  produced,  those  made  by  (10  +  1) 
egg  +  (10  +  1)  spermatozoon  giving  20  +  2  (female), 
and  those  made  by  (10  +  1)  -,"- 10  giving  20  +  1  (male). 
On  the  hypothesis  of  the  nature  of  sex  outlined  above 
it  is  supposed  that  the  odd  chromosomes  are  related 
to  the  sex-determinants  (if  they  are  not  themselves 
the  determinants),  so  that  the  sex  is  determined  by 
the  combination  of  chromosomes  in  the  nucleus. 
In  any  case,  since  the  numbers  are  regularly  found, 
external  conditions  can  have  no  part  in  deciding  the 
sex  of  the  individual. 

Finally,  the  cases  of  relation  between  sex  and  in- 
herited characters  described  above  (lactieolor,  colour- 
blindness etc.)  leave  no  room  for  the  action  of 
environment  after  the  individual  has  once  begun  to 


IX]  HEREDITY  AND   SEX  131 

develop.  But  it  should  be  pointed  out  that  environ- 
ment may  influence  the  proportion  of  male-producing 
and  female-producing  germ-cells  which  come  to 
maturity,  and  a  considerable  amount  of  evidence  has 
been  collected  showing  that  the  varying  proportions 
of  the  sexes  under  different  conditions  may  be  due  to 
this  cause.  If  some  conditions  favour  the  output  of 
male-producing  eggs,  others  of  female-producing,  the 
conditions  will  then  indirectly  affect  the  sex  of  the 
offspring,  not  by  changing  it  in  the  individual,  but  by 
causing  more  individuals  of  one  or  the  other  sex  to 
be  born. 

One  of  the  reasons  which  have  led  biologists  to 
assume  that  environment  may  modify  the  sex  of  the 
individual  is  the  fact  that  changed  conditions  may 
influence  the  extent  to  which  the  sexual  characters 
develop.  Worker  bees  for  example  are  females  in 
which  modified  food  and  surroundings  have  prevented 
the  full  development  of  the  female  characters.  The 
characters  proper  to  one  sex  frequently  are  found 
in  a  rudimentary  condition  in  the  other,  and  in 
abnormal  cases  may  develop.  Or  these  characters  may 
be  prevented  from  developing  in  the  sex  which  nor- 
mally exhibits  them  by  certain  conditions,  especially 
by  removing  the  ovary  or  testis  from  the  young 
animal,  for  example  the  non-appearance  of  horns  in 
castrated  deer  or  the  disappearance  of  the  distinctive 
sex-features  in  Crabs  in  which  the  reproductive  organs 

9—2 


132  HEREDITY  [cH. 

are  destroyed  by  parasites  \  Cases  of  this  kind  there- 
fore bring  us  back  to  the  question  of  'secondary  sexual 
characters '  and  sexual  dimorphism  which  were  briefly 
touched  upon  at  the  beginning  of  this  chapter. 

In  discussing  the  determination  of  sex,  the  nature 
of  sex  itself  must  be  sharply  distinguished  from  the 
secondary  characters  which  are  normally  associated 
with  it.  The  essential  difference  between  the  sexes 
is  the  presence  of  testes  in  the  male  and  ovaries  in 
the  female  ;  the  associated  characters,  which  may  or 
may  not  be  directly  connected  with  reproduction,  are 
certainly  sometimes  and  may  perhaps  always  be 
clearly  separated  into  a  distinct  category.  It  has 
been  seen  that  the  evidence  is  conclusive  that  sex 
often,  and  probably  always,  is  determined  by  the 
germ-cells,  i.e.  from  the  moment  of  fertilisation  if  not 
before.  But  it  is  equally  clear  that  the  characters 
associated  with  one  or  the  other  sex  are  not  de- 
termined in  the  same  way  ;  their  presence  or  the 
extent  to  which  they  are  developed  may  be  to  some 
extent  dependent  upon  environment.  Tliis  is  shown 
by  the  case  of  the  worker-bee  ;  by  the  effects  of  cas- 
tration in  preventing  the  appearance  of  distinctively 
sexual  characters ;     by  the  appearance  in    old  or 

1  In  this  particular  instance  it  has  been  found  that  a  male  crab 
affected  by  the  parasite  may  even  produce  eggs,  and  it  must  be  supposed 
that  femaleness  is  present  in  a  recessive  condition,  so  to  speak,  in  the 
male,  and  is  caused  to  appear  by  the  action  of  the  parasite  (Sacculina). 


IX]  HEREDITY  AND  SEX  133 

sterile  female  birds  of  plumage  resembling  that  of 
the  male  ;  and  lastly  by  the  occasional  development 
in  one  sex  of  characters  which  are  normally  rudi- 
mentary in  that  sex,  but  are  well  developed  in  the 
other,  such  as  the  breasts  in  man.  If  such  characters 
are  not  directly  connected  with  reproduction,  for 
example  the  splendid  plumage  of  some  male  birds  or 
the  horns  of  deer,  they  are  called  secondary  sexual 
characters,  but  there  is  no  sharp  distinction  between 
these  and  accessory  sexual  structures  such  as  the  egg- 
laying  apparatus  of  female  insects. 

It  was  said  above  that  the  appearance  of  sexual 
characters  is  to  some  extent  dependent  on  environ- 
ment, but  in  fact  the  only  changes  which  can  modify 
their  development  are  those  Avhich  aifect  the  essential 
reproductive  organs,  the  ovaries  and  testes.  When 
these  are  removed  or  suppressed,  the  sexual  characters 
may  be  modified ;  their  appearance  indeed  depends 
in  many  cases  upon  the  presence  of  functional  sexual 
organs,  and  frequently  they  do  not  appear  until  the 
sexual  organs  are  mature.  Now  it  has  been  seen 
above  that  certain  characters  are  dominant  in  one  sex 
and  recessive  in  the  other,  and  the  most  typical  case 
of  this  is  in  an  actual  secondary  sexual  character — 
horns  of  sheep,  for  when  horns  are  present  they  are 
always  better  developed  in  the  male.  Their  'recessive' 
condition  in  a  ewe  produced  by  crossing  a  horned  by 
a  hornless  breed  must  probably  be  ascribed   to   a 


134  HEREDITY  [CH. 

factor,  confined  to  the  female,  which  prevents  horns 
from  developing  even  though  the  factor  for  horned- 
ness  is  present.  Some  such  inhibiting  factor,  confined 
to  one  sex,  may  possibly  explain  sexual  dimorphism 
in  general.  It  may  be  of  course  that  in  some  cases  the 
inheritance  of  sexual  characters  is  limited  like  that  of 
the  variety  lacticolor  in  the  Currant  Moth  ;  if  the  var. 
lacticolor  were  dominant  instead  of  recessive,  we 
should  have  an  instance  of  ordinary  sexual  dimorphism 
in  this  case,  for  all  females  are  normally  heterozygous 
and  would  therefore  show  one  character,  all  males 
homozygous,  and  would  show  the  other.  Some  con- 
dition of  this  kind  will  probably  be  found  to  apply  to 
the  remarkable  cases  of  certain  butterflies  which  have 
two  or  three  discontinuous  and  very  distinct  forms  of 
the  female,  but  only  one  kind  of  male,  and  in  which  all 
the  different  forms  have  been  bred  from  eggs  laid  by 
one  female  insect.  The  few  breeding  experiments  that 
have  yet  been  made  with  these  species  (Papilios  or 
*  Swallow-tails '  from  Africa  and  India)  suggest  that 
a  combination  of  alternative  dominance  and  sex- 
limited  inheritance  will  probably  be  found  to  explain 
them.  It  seems  reasonable  to  suppose,  therefore,  that 
not  only  the  determination  of  sex  itself,  but  the 
difficult  problems  of  sexual  dimorphism  and  the 
inheritance  of  secondary  sexual  characters,  will  all  be 
found  on  analysis  to  fall  into  line  with  the  simple 
principles  of  Mendelian  Heredity. 


135 


APPENDIX   I 

HISTORICAL  SUMMARY  OF  THEORIES 
OF   HEREDITY 

In  the  foregoing  pages,  Heredity  has  been  regarded 
as  the  relation  between  parents  and  offspring  in 
respect  of  their  bodily  characters,  and  it  has  been 
shown  that  this  relation  has  been  brought  about  in 
some  way  by  the  germ-cells,  but  very  little  has  been 
said  about  the  mechanism  by  which  this  is  effected. 
This  side  of  the  question  is  very  largely  speculative, 
and  in  order  to  keep  speculation  to  some  extent 
apart  from  facts,  an  account  of  theories  of  hereditary 
transmission,  and  of  recent  work  on  the  supposed 
material  basis  of  hereditary  characters,  has  been 
postponed  to  appendices,  which  the  reader  who  seeks 
for  facts  and  well-founded  deductions  alone,  may 
omit  at  will.  First,  a  summary  of  the  chief  theories 
of  heredity  will  be  given,  and  then  a  short  account  of 
recent  work  on  the  subject. 

In  the  introduction  it  was  pointed  out  how  closely 
related  are  our  ideas  of  Heredity  and  Variation  with 


136  HEREDITY  [ap. 

theories  of  Evolution,  and  thus  the  history  of  the  two 
subjects  largely  coincides.  The  first  important  theory 
was  that  of  Lamarck,  published  in  1809,  and  although 
it  had  little  influence  at  the  time,  in  more  recent 
years  Lamarck's  main  principle  has  found  many  sup- 
porters. His  theory  was  essentially  that '  acquired ' 
modifications  are  being  continually  produced  and 
perfected  by  every  organism  during  its  life,  and  that 
they  are  at  least  partially  transmitted  to  its  ofispring, 
so  that  each  generation  will  be  rather  better  adapted 
to  its  surroundings  than  its  predecessor.  In  this  way, 
for  example,  the  great  length  of  the  neck  of  the 
girafie  would  be  explained  by  the  continual  striving 
through  many  generations  to  reach  higher  leaves  on 
the  trees ;  or  the  limbless  condition  of  snakes  and 
slow-worms  by  the  gradual  loss  of  limbs  through 
disuse.  But  it  has  been  seen  that  the  assumption 
that  acquired  characters  are  inherited  is  open  to 
grave  doubt,  and  hence  the  followers  of  Lamarck 
are  fewer  at  the  present  time  than  formerly. 

Darwin's  great  theory  of  Evolution  by  Natural 
Selection  of  course  depends  on  quite  different  prin- 
ciples, but  it,  like  Lamarck's,  is  based  essentially  upon 
the  laws  of  variation  and  heredity.  Darwin  himself 
made  astonishing  progress  in  the  investigation  of 
these  laws,  and  although  he  would  doubtless  have 
been  the  first  to  admit  the  incompleteness  of  our 
knowledge,  yet  he  collecLed  sufficient  evidence  to 


ij  THEORIES   OF   HEREDITY  137 

enable  him  to  formulate  one  of  the  first  really  impor- 
tant theories  of  heredity,  which  he  called  the  Theory 
of  Pangenesis  [7,  (1868)].  The  essence  of  his  theory 
was  that  every  cell  of  an  organism  gives  off  minute 
particles  or  '  Gemmules '  from  itself,  which  circulate 
in  the  body  and  finally  come  to  rest  in  the  germ-cells, 
or  in  parts  where  buds  may  be  developed.  The 
gemmules  were  regarded  as  being  capable  of  multi- 
plication, and  of  transmission  to  a  future  generation 
in  a  dormant  state.  They  were  supposed  to  be  given 
off  from  all  tissues  at  every  stage  of  development,  so 
that  every  unit  of  the  organism  at  every  stage  would 
be  represented  in  the  germ-cells.  On  the  develop- 
ment of  the  germ-cell,  the  contained  gemmules 
would  give  rise  to  cells  like  those  from  which  they 
were  derived,  and  so  the  characters  of  one  generation 
would  be  transmitted  to  those  which  follow. 

By  this  hypothesis  Darwin  accounted  for  the 
phenomena  of  sexual  and  non-sexual  reproduction, 
regeneration  of  lost  parts,  variability,  inheritance 
both  of  inborn  and  acquired  characters,  and  lastly 
of  reversion  to  a  previous  ancestor.  The  hypothesis 
was  one  of  the  first  which  attempted  to  bring  all 
these  various  groups  of  facts  into  line,  but  it  had 
the  serious  defect  that  there  was  no  direct  evidence 
whatever  for  the  existence  of  gemmules,  and,  assuming 
their  existence,  to  be  accommodated  in  the  germ-cells 
they  must  be  so  exceedingly  minute  as  to  be  almost 


138  HEREDITY  [ap. 

unimaginable.  The  Theory  of  Pangenesis  never  gained 
any  very  wide  acceptance,  but  is  of  great  importance 
owing  to  its  stimulating  effect  on  later  work  and 
thought.  To  a  gi-eat  extent  it  led  to  the  formulation 
of  other  theories  of  heredity  \  any  account  of  which  is 
prevented  by  limitation  of  space.  It  can  only  be 
mentioned  that  the  chief  hypotheses  which  followed 
Darwin's  laid  successively  more  and  more  emphasis 
upon  the  idea  that  the  germ-cells  are  not  made  up  of 
samples  taken  from  the  body,  but  have  a  certain 
independence.  So  gi-ew  up  the  conception  of  'germinal 
continuity,'  that  is,  the  idea  that  the  germ-cell  of  one 
generation  gives  rise  not  only  to  the  body  of  the  next, 
but  also  directly  to  its  germ-ceils,  so  that  the  body 
does  not  produce  germ-cells,  but  only  contains  them. 
We  must  now  turn  to  the  theory  in  which  this  idea  finds 
its  most  celebrated  expression,  AVeismann's  Theory 
of  the  Germ-2)lasm  (1885)  [40,  8]. 

It  is  impossible  in  a  short  space  to  give  an 
adequate  account  of  Weismann's  great  theory,  which 
he  has  worked  out  in  fuller  minuteness  of  detail  than 
has  been  done  with  any  other  theory  of  heredity,  and 
by  which  he  has  done  more  to  stimulate  discussion 
and  research  than  perhaps  any  biologist  since  Darwin. 

^  For  a  summary  of  the  more  important  theories  of  heredity, 
especially  those  of  Herbert  Spencer  (1863,  i.e.  before  Darwin's  theory 
of  Pangenesis),  Galton  (1875)  and  de  Viied  (1889),  see  Thomson's 
Heredity  [33].     See  also  [8]. 


I]  THEORIES   OF   HEREDITY  139 

Weismann  was  led  by  his  work  on  the  origin  of  the 
germ-cells  to  a  belief  in  germinal  continuity  as 
explained  above,  but  the  facts  of  regeneration  of 
lost  parts  and  other  related  phenomena  caused  him 
to  give  up  the  idea  that  a  sharp  distinction  could  be 
drawn  between  the  cells  of  the  body  and  the  germ, 
and  to  substitute  for  it  the  idea  of  a  distinction 
between  body-substance  and  germ-substance,  or  as 
he  calls  it,  body-plasm  and  germ-plasm.  According 
to  this  hypothesis,  the  egg  contains  germ-plasm 
derived  from  that  of  the  parent,  and  as  the  egg 
develops  the  germ-plasm  increases  and  becomes 
distributed  among  the  cells,  and  gradually,  as  the 
cells  become  specialised  to  form  the  different  parts, 
the  germ-plasm  becomes  converted  into  body-plasm 
and  builds  up  the  varied  kinds  of  ceUs  of  the 
body.  But  some  cells  continue  to  possess  the  full 
complement  of  ancestral  germ-plasm,  and  these  will 
go  to  form  the  germ-cells  of  the  next  generation. 
When  an  organ  remains  capable  of  regenerating 
lost  parts,  it  is  assumed  that  germ-plasm  having 
the  power  to  develop  such  parts  remains  in  the  cells 
and  becomes  active  when  required-  Germ-plasm  can 
thus  be  converted  into  body-plasm,  but  body-plasm 
cannot  become  germ-plasm,  and  hence  Weismann 
assumes  that  no  change  brought  about  in  the  body 
(by  environment,  etc.)  but  not  affecting  the  germ-cells, 
can  be  inherited  by  subsequent  generations.    It  is 


140  HEREDITY  [ap. 

therefore  impossible  according  to  his  theory,  that 
'acquired  characters'  in  the  technical  sense  should 
ever  be  inherited.  The  germ-plasm  of  one  genera- 
tion gives  origin  to  the  germ-plasm  of  the  next,  and 
no  external  conditions  acting  on  the  body  which 
contains  and  nourishes  the  germ-plasm  can  have 
effects  which  are  transmitted  unless  the  germ-plasm 
itself  is  altered. 

Weismann  in  a  series  of  books  and  papers  has 
built  up  a  detailed  and  highly  complicated  and 
speculative  scheme  of  the  nature  and  composition 
of  the  germ-plasm,  only  a  brief  summary  of  which 
can  be  given  here.  Much  of  it  will  doubtless  not 
stand  the  test  of  fuller  investigation,  and  parts  of 
it  are  already  discredited ;  but  it  has  had  the  merit 
of  stimulating  an  immense  amount  of  valuable  re- 
search, and  there  are  indications  that  some  of  his 
fundamental  ideas  will  form  the  foundations  of  a 
true  theory  of  the  material  basis  of  heredity. 

Weismann  assumes  that  the  germ-plasm  is  con- 
tained in  the  nucleus  of  the  cell,  and,  in  particular, 
in  the  bodies  known  as  chromosomes.  Every  nucleus 
contains  a  number  of  these  bodies,  in  the  ordinary 
condition  of  the  nucleus  distributed  through  its 
substance  so  as  to  be  unrecognisable,  but  when  the 
cell  is  about  to  divide  they  make  their  appearance 
as  rod-like  bodies  whose  number  in  general  is  con- 
stant in  the  nuclei  of  the  same  species  of  animal  or 


I]  THEORIES   OF   HEREDITY  141 

plant.  Before  the  nucleus  divides  the  chromosomes 
split  longitudinally  so  that  they  are  accurately  halved 
and  the  two  halves  of  each  go  into  different  daughter- 
nuclei.  Weismann  supposes  that  the  germ-plasm 
is  contained  in  the  chromosomes,  and  consists  of 
numerous  units  with  different  properties.  When  the 
chromosome  splits,  each  unit  is  supposed  to  divide 
into  two  similar  halves,  and  thus  each  daughter- 
nucleus  receives  a  similar  complement  of  germ-plasm. 
In  the  union  of  male  and  female  cells  in  fertilisa- 
tion, the  nucleus  of  each  cell  brings  its  complement 
of  chromosomes,  and  thus  if  there  were  no  special 
provision,  the  number  of  chromosomes  would  be 
doubled  in  each  generation.  But  it  is  actually  found 
that  in  the  cell-divisions  immediately  preceding  the 
development  of  both  male  and  female  sex-cells,  a 
process  occurs  which  results  in  the  removal  of  half 
the  chromosomes  from  the  nucleus,  and  thus  when 
the  male  and  female  nuclei  unite  the  normal  number 
of  chromosomes  for  the  species  is  restored.  Since 
Weismann  regards  the  chromosomes  as  consisting 
of  germ-plasm,  and  as  made  up  of  a  vast  number 
of  units,  each  of  which  is  the  determinant  for  one 
hereditary  character,  he  saw  that,  without  some  such 
process  of  removal  of  chromosomes  in  the  formation 
of  the  sex-cells,  the  germ-plasm  must  in  a  few  genera- 
tions become  infinitely  complicated.  He  therefore 
predicted  that  some  process  of  'reduction'  of  chromo- 


142  HEREDITY  [at. 

somes  must  occur,  either  by  elimination  of  complete 
chromosomes  or  by  transverse  instead  of  longitudinal 
splitting,  before  any  complete  observations  had  been 
made  showing  that  this  actually  happens. 

Since  Weismann  supposes  that  the  germ-plasm 
is  contained  in  the  chromosomes  of  the  germ-cells, 
and  since  half  the  chromosomes  are  removed  in  the 
'maturation'  of  these  cells  without  preventing  the 
transmission  of  any  part  to  the  offspring  by  inherit- 
ance, he  concluded  that  each  chromosome  contains 
aU  the  units  ('  determinants  ')  necessary  to  a  complete 
individual.    (Later  work  has  rendered  this  conclusion 
doubtfid  :   see  Appendix  ii.)    When  fusion  of  male 
and  female  sex-cells  takes  place,  the  resulting  individual 
will  contain  a  mixture  of  the  parental  germ-plasms, 
the  paternal  in  some  chromosomes,  the  maternal  in 
others.     In  the  maturation    of   the    sex-cells    half 
these  germ-plasms  will  be  removed  and  in  the  next 
generation  a  fresh  mixture  will  take  place.     It  thus 
follows  that  the  different  chromosomes  contain  germ- 
plasms    descended    from    different    ancestors,    and 
different  mixtures  of  these  will  occur   in  different 
individuals.      Here  then  we  come  to    Weismann's 
hypothesis  of  the  origin  of  variation.     Since  different 
individuals  contain   different    combinations    of   an- 
cestral   germ-plasms,    these    wiU    lead    to    varying 
effects  in  the  development  of  the  body ;  new  com- 
binations will   be    continually  occurring    in    every 


I]  THEORIES   OF  HEREDITY  143 

fertilised  egg,  and  thus  arises  the  variation  between 
separate  individuals.  Further,  although  by  his  theory 
changes  brought  about  in  the  body-plasm  cannot  be 
transferred  to  the  germ-plasm,  yet  influences  acting 
on  the  germ-plasm  itself  may  modify  it  and  so  their 
effects  will  be  transmitted.  The  most  important  of 
these  influences  is  nourishment,  which  may  favour 
some  units  of  the  germ-plasm  rather  than  others. 
He  further  supposes  that  there  may  be  competition 
for  nourishment  among  the  difierent  units  ('deter- 
minants') so  that  some  increase  at  the  expense  of 
others,  and  if  this  process  should  be  continued 
through  a  series  of  generations,  certain  characters 
would  show  a  steady  increase  while  others  corre- 
spondingly decrease.  Variation  thus  arises  by  changes 
brought  about  in  the  germ-plasm,  and  by  the 
recombination  of  varied  ancestral  germ-plasms  in 
each  generation.  Such  variations  wiU  be  inherited, 
and  in  this  respect  will  differ  entirely  from  changes 
brought  about  in  the  body  during  its  life  by  the 
action  of  environment. 

It  has  been  shown  that  in  the  earlier  theories 
of  heredity  it  was  assumed  that  the  germ-cells  were 
produced  by  the  body,  and  that  they  must  therefore 
be  supposed  either  to  contain  samples  of  all  parts 
of  it,  or  at  least  some  kind  of  units  derived  from 
those  parts  and  able  to  cause  their  development 
in  the  next  generation.     Gradually,   as  the  study 


144  HEREDITY  [ap.  i 

of  heredity  and  of  the  actual  origin  of  the  germ-cells 
has  progressed,  biologists  have  given  up  this  view 
in  favour  of  a  belief  in  germinal  continuity,  that  is, 
that  the  germ-substance  is  derived  from  previous 
germ-substance,  the  body  being  a  kind  of  offshoot 
fi'om  it.  The  child  is  thus  like  its  parent,  not 
because  it  is  produced  from  the  parent,  but  because 
both  child  and  parent  are  produced  irom.  the  same 
stock  of  germ-plasm. 


145 


APPENDIX   II 

THE  MATERIAL   BASIS   OF   INHERITANCE 

In  Appendix  i,  it  has  been  mentioned  that 
Weismann  regarded  the  chromosomes  of  the  nucleus 
as  the  bearers  of  hereditary  characters,  and  more 
recent  work  has  added  to  the  probability  of  this 
view,  while  not  as  yet  providing  anything  which  can 
be  called  proof.  That  some,  if  not  all,  the  hereditary 
characters  are  determined  by  the  nucleus  of  the 
germ-cell  is  indicated  by  several  facts.  In  the  first 
place,  the  spermatozoon  consists  of  little  else  but  a 
nucleus  with  a  vibrating  tail,  and  the  tail  may  be 
shed  as  the  spermatozoon  enters  the  ovum.  Secondly, 
experiments  in  fertilising  non-nucleated  fragments 
of  sea-urchin  eggs  by  sperm  of  a  different  species, 
give  evidence  that  the  hereditary  characters  of  the 
resulting  larvae  are  exclusively  those  of  the  paternal 
species.  This  conclusion  however  has  been  disputed, 
and  can  only  be  regarded  as  probable  rather  than 
certain.  Again,  experiments  in  fertilising  one  egg 
simultaneously  by  more  than  one  spermatozoon,  lead 

D.  10 


146  HEREDITY  [ap. 

Boveri  [3]  to  believe  that  the  subsequent  develop- 
ment of  the  cells  of  the  embryo  depends  on  the 
distribution  of  the  chromosomes  in  the  abnormal 
divisions  consequent  on  double  fertilisation.  And 
Herbst  [16]  has  obtained  sea-urchin  larvae  made  by 
crossing  distinct  species,  which  on  one  side  of  the 
body  resemble  one  parent,  and  on  the  other  side 
the  other  parent.  He  shows  that  these  differences 
are  connected  with  differences  in  the  size  of  the 
nuclei  of  the  two  sides,  and  that  probably  the  part 
with  maternal  characters  contains  only  maternal 
nuclear  substance,  while  the  part  showing  the 
paternal  character  has  nuclei  derived  from  both 
parents. 

But  probably  the  best  evidence  for  regarding  the 
chromosomes  as  bearing  the  essential  determinants 
for  hereditary  characters  is  provided  by  the  behaviour 
of  the  chromosomes  themselves  in  the  maturation 
divisions  of  the  germ-cells.  It  has  been  pointed  out 
that  at  these  nuclear  divisions  the  chromosome 
number  is  halved,  and  restored  to  the  fuU  number 
again  in  the  next  generation  by  the  union  of  two 
germ-cells  each  bearing  the  half-number.  Now  it 
has  been  found  in  certain  cases  that  the  chromosomes 
are  not  all  alike,  but  differ  among  themselves  in  size 
and  shape,  and  when  this  is  so  it  can  be  seen  that 
the  nucleus  just  before  maturation  contains  two  of 
each  kind.     If  the  different  kinds  of  chromosomes 


II]  MATERIAL  BASIS  147 

are  represented  by  letters,  A,  B,  C,  D...,  there  will 
then  be  two  A'b,  two  ^'s,  etc.  in  the  nucleus.  The 
actual  processes  in  the  reduction  division  are  some- 
what complex,  but  briefly  they  consist  in  a  pairing 
together  of  the  chromosomes,  followed  by  a  division 
of  the  nucleus  in  which  the  two  members  of  each 
pair  are  separated  into  diflerent  daughter-nuclei, 
so  that  the  daughter-nuclei  each  contain  half  the 
full  number.  When  the  chromosomes  differ  among 
themselves,  it  is  seen  that  two  similar  ones  always 
pair  together,  i.e.  A  with  A,  B  with  B,  etc.  Thus 
the  daughter-nuclei  each  contain  the  whole  series 
A,  B,  C. . .,  but  have  only  one  of  each,  instead  of  two. 
If  then  it  is  imagined  that  each  chromosome  is 
the  bearer  of  the  determinant  (or  'factor')  for  a 
Mendelian  character,  we  may  regard  one  individual 
as  having  a  double  series  of  chromosomes  A,  B,  C. . ., 
etc.,  and  another  as  bearing  the  allelomorphic  cha^ 
racters  a,  b,  c...,  etc.  When  these  individuals  are 
mated,  the  heterozygote  will  bear  both  series, 
A  and  a,  B  and  b,  etc.  In  the  formation  of  the 
germ-cells,  A  will  segregate  from  a,  B  from  b  in 
exactly  the  way  required  by  Mendelian  theory.  But 
there  is  no  reason  to  suppose  the  series  A,  B,  C... 
should  all  go  into  one  germ-cell,  and  a,  b,c...  into  the 
other  ;  A  may  go  into  the  first  daughter-nucleus  and 
a  into  the  second,  but  b  may  go  with  A  into  the  first, 
and  B  into  the  second.   So  in  crossing  races  differing 

10—2 


148  HEREDITY  [ap. 

in  more  than  one  allelomorphic  pair,  all  possible 
combinations  can  be  produced,  except  that  no  germ- 
cell  can  contain  both  the  members  of  one  pair. 

The  suggestion  that  this  segregation  of  chromo- 
somes, which  can  be  seen  to  take  place,  is  the 
mechanism  by  which  the  members  of  an  allelo- 
morphic pair  of  characters  are  segregated,  is  quite 
speculative;  but  it  seems  exceedingly  unlikely  that 
machinery  so  exactly  adapted  to  bring  it  about  should 
be  found  in  every  developing  germ-cell,  if  it  had  no 
connexion  with  the  segregation  of  characters  that 
is  observed  in  experimental  breeding.  There  is  also 
the  further  fact  in  support  of  the  suggestion,  that 
it  is  known  in  many  insects  that  one  pair  of  chromo- 
somes is  closely  connected  with  sex,  for  in  the  males  of 
these  species  one  chromosome  of  the  pair  is  absent  or 
much  reduced,  but  in  the  female  both  are  similar. 
These  sex-chromosomes  separate  from  one  another 
like  the  others  (when  both  are  present),  and  it  has 
been  seen  that  there  is  experimental  evidence  for  the 
view  that  the  sex-determiners  behave  like  Mendelian 
allelomorphs.  One  serious  diflSiculty  however  suggests 
itself  at  once ;  the  chromosomes  are  limited  in  number, 
and  it  is  undoubted  that  more  allelomorphic  pairs  of 
characters  may  exist  in  a  species  than  there  are  pairs 
of  chromosomes,  although  in  such  cases  there  is  no 
evidence  that  members  of  different  pairs  are  always 
associated  together.     Several  suggestions  have  been 


II]  MATERIAL   BASIS  149 

made  to  meet  this  difficulty,  of  which  perhaps  the 
most  adequate  is  that  the  chromosomes  are  not  in- 
divisible entities,  but  are  composed  of  smaller  units, 
each  of  which  corresponds  with  one  Mendelian  factor. 
The  chromosomes  are  not  permanently  present  in 
the  distinct  form  which  is  seen  during  cell-division, 
but  during  the  resting  condition  of  the  nucleus  their 
substance  becomes  diffused  over  a  network  of  threads, 
only  to  be  collected  again  into  definite  chromosomes, 
having  the  same  number  and  form  as  before,  pre- 
paratory to  the  next  division.  If  each  chromosome 
consists  of  a  series  of  units  having  a  definite  arrange- 
ment, and  these  units  become  scattered  in  the 
'resting  phase,'  but  are  re-collected  in  the  same 
order  when  the  chromosomes  are  re-formed,  it  does 
not  seem  unlikely  that  a  unit  N  may  take  the  place 
of  the  corresponding  unit  n  from  the  other  chromo- 
some of  the  pair,  so  that  if  the  chromosome  A 
consisted  at  one  division  of  units  M,  N,  O...,  and  the 
corresponding  chromosome  a  consisted  of  m,  n,  o..., 
after  the  resting  stage  N  and  n  might  have  exchanged 
places,  and  chromosome  A  would  consist  of  M,  n,  O.  . 
and  a  of  m,  N,  o....  By  some  process  of  this  kind 
it  seems  probable  that  the  observed  phenomena  of 
chromosome  reduction  would  account  for  all  the 
facts  of  Mendelian  segregation. 

It  must  be  stated  quite  clearly,  however,  that 
the  study  of  the  possible  relation  between  chromo- 


150  HEREDITY  [ap.  ii 

somes  and  body-characters  is  as  yet  in  its  infancy ; 
and  this  brief  note  can  only  sketch  the  lines  on  which 
modern  work  seems  to  support  Weismann's  hypo- 
thesis that  the  chromosomes  are  the  physical  basis 
of  inheritance.  It  will  be  seen  that  his  suggestion 
that  all  the  chromosomes  are  on  the  whole  similar 
is  not  confirmed,  but  the  evidence  that  chromosomes 
do  bear  factors  for  inherited  characters  is  consider- 
ably stronger  than  when  the  idea  was  first  put 
forward  \ 

^  The  suggestion  referred  to  in  the  note  on  p.  97  must  also  be 
borne  in  mind,  that  it  is  not  the  •  factor '  alone  which  determines  the 
development  of  a  character,  but  a  physiological  relation  between  the 
factor  contained  in  a  chromosome  and  the  surrounding  protoplasm. 
If  the  latter  is  altered  from  any  cause,  the  relation  may  be  changed 
and  the  character  modified,  just  as  the  plants  raised  from  one  sample 
of  seed  may  be  modified  by  growing  them  in  different  soils.  If,  as  is 
quite  possible,  the  relation  is  a  reciprocal  one,  the  factor  may  in  some 
cases  be  permanently  modified,  and  there  would  thus  be  a  mechanism 
for  the  transmission  of  acquired  modifications.  At  present,  however, 
it  must  be  admitted  that  experiment  hardly  provides  sufiQcient  basis 
for  speculations  such  as  these. 


151 


LITERATURE   LIST 

The  Works  marked  *  are  general  treatises  suitable 
for  further  study. 

1.    Bateson,  W.   Materials  for  the  Study  of  Variation.   London, 
1894. 

*2.    ■ Mendel's  Principles  of  Heredity.     2nd  Impression. 

Cambridge,  1909.  (Full  bibliographyto  date  of  publication.) 

3.  Boveri,  T.    Ergebnisse  iiber  die  Konstitution  der  Chroma- 

tischen  Substanz  des  Zellkerns.     Jena,  1904. 

4.  Castle,  W.  E.     Heredity  of  Hair-length  in  Guinea-pigs,  and 

its  Bearing  on  the  Theory  of  Pure  Gametes.  Publ.  Carnegie 
Inst.  Washington,  No.  49,  1906. 

5.     Studies  of  Inheritance  in  Rabbits.     Publ.  Carnegie 

Inst  No.  114,  1909. 

*5a.  Darbishire,  A.  D.     Breeding  and  the  Mendelian  Discovery. 

Cassell,  1911. 
*6.     Darwin,  C.     The  Origin  of  Species. 

*7.    Variation  of  Animals  and  Plants  under  Domestication. 

*8.     Darwin  and  Modern  Science.     Cambridge,  1909. 
9.     Davenport,  C.B.  Statistical  Methods  with  Special  Reference 

to  Biological  Variation.    New  York  and  London,  1899. 
9a.  Doncaster,  L.     Recent  work  on  the  Determination  of  Sex. 

Science  Progress,  July  1909:    reprinted  in  Smithsonian 

Report  (Washington)  for  1910. 


152  LITERATURE   LIST 

10.  Eugenics  Laboratory.   Publications  of  the  Galton  Laboratory 

for  National  Eugenics,  University  of  London : — 

Especially,  Elderton,  E.  M.  Relative  strength  of  Nature 
and  Nurture.  Heron,  D.  A  First  Study  of  the  Statistics 
of  Insanity.  Schuster,  E.  Inheritance  of  Ability.  Bar- 
ring-ton, A.  and  Pearson,  K.  A  Preliminary  Study  of 
Extreme  Alcoholism  in  Adults. 

11.  E wart,  J.  C,    The  Penycuik  Experiments.     London,  1899. 
*12.     Galton,  P.     Inquiries  into  Human  Faculty  and  its  Develop- 
ment.    Macmillan,  1883.     (Cheap  Edition,  J.  M.  Dent.) 

*13.     Natural  Inheritance.     Macmillan,  1889. 

14.    Essays  in  Eugenics.     Eugenics  Education  Soc.     Lon- 
don, 1909. 
*15.     Hereditary  Genius.     Macmillan,  1869. 

16.  Herbst,  C.    Vererbungsstudien,  i — vi.   Archiv  fiir  Entwick- 

lungsmechanik,  1906 — 1909.     Especially  v — vi,  1907  and 
1909. 

17.  Hurst,  C.  C.     On  the  Inheritance  of  Eye-colour  in  Man. 

Proc.  Roy.  Soc.  (B)  Vol.  80.     1908. 

18.  Johannsen,  W.     Ueber  Erblichkeit  in  Populationen  und 

in  Reinen  Linien.     Jena,  1903. 
18a.  Journal  of  Genetics,  1911 — A  quarterly  journal  containing 
irapoi-tant  papei's  on  Heredity  and  allied  subjects,  edited 
by  Professors  Bateson  and  Punnett.     Camb.  Univ.  Press. 

19.  Kammerer,  P.    Vererbung  erzwungener  Fortpflanzungsan- 

passungen.     Arch,   f  Entwicklungsmechanik,  Vols,  xxv 

(1907)  and  xxviii  (1909). 
*20.     Kellogg,  V.  L.     Darwinism  Today.   London  and  New  York, 

1907. 
*21.     Lock,  R.  H.     Recent  Progress  in  the  Study  of  Variation, 

Heredity  and  Evolution.     2nd  Edition.     Murray,  1909. 
*22.     Lotzy,  J.  P.   Vorlesungeu  iiber  Descendenztheorien.    Jena, 

1906. 


LTTimATlIRE   LIST  153 

22rt.  M''Dougall,  D.  T.    Organic  Response.    American  Naturalist, 

Vol.  45,  p.  5,  Jan.  1911. 
22b.  Morgan,  T.  11.     Nvnnerous  papers  in  'Science,'  'American 

Natiu'alist'  and  'Journal  of  Experimental  Zoology,'  iniO- 

II. 
23.    Nettleship,  E.     Bowman  Lecture.    Trans.  Ophthalm.  Soc. 

1909. 
*24.     Pearson,  K.   The  Grammar  of  Science.   3rd  Edition,  Part  ii. 

London,  1912. 

25.     Mathematical  Contributions  to  the  Theory  of  Evolution. 

Proc.  and  Trans.  Roy.  Soc.  (A)  1896 — 1903;  also  numerous 
papers  in  Biometrika,  1902 — ,  especially  'On  the  Laws 
of  Inheritance  in  Man,'  1903,  1904;  and  'The  Law  of 
Ancestral  Heredity,'  1903. 

26.     Huxley  Lecture  of  Anthropologicallnst.  of  Gt.  Britain 

and  Ireland.     Trans.  Anthrop.  Inst.  1903,  p.  179. 

*26«.  Przbram,  H.  Exi^erimental  Zoologie.  Vol.  in.  Phylogenese. 
*27.  Punnett,  R.  C.  Mendelism.  3rd  Edition.  Macmillan,  1911. 
*28.  Reid,  Archdall.  The  Principles  of  Heredity.  London,  1906. 
*29.  Romanes,  J.  G.  Darwin  and  After  Darwin.  3  vols.  London, 
1892—1897. 

30.  Royal  Society.     Reports  to  the  Evolution  Committee,  i — v, 

1902—1909. 

31.  Schuster,  E.     Hereditary  Deafness.     Biometrika,  iv,  1906, 

p.  465. 

32.  Standfuss.     Handbuch  der  Palaarktischen  Grossschmetter- 

linge.    Jena,  1896. 
32a.  Sumner,    F.    B.      An    Experimental    Study    of   Somatic 

Modifications.     Arch.  f.  Entwicklungsmechanik,  Vol.  xxx, 

Pt.  II,  p.  317,  and  American  Naturalist,  XLVi,  p.  5. 
*33.     Thomson,  J.  A.     Heredity.      Murray,  1908.      (Very  good 

bibliography.) 
34.     Tower.     An   Investigation  of   Evolution  in   Chrysomelid 


154  LITERATURE  LIST 

Beetles  of  the  Genus  Leptinotarsa.     Publ.  Caniegie  Inst. 
Washington,  No.  48,  1906. 
35.     Treasury  of  Human  Inheritance.     Publ.  Gralton  Laboratory 
for  Nat.  Eugenics,  London  University. 
*36.     Vries,  H.  de.   The  Mutation  Theory  (Trans.).   London,  1910. 

*37.     Species  and  Varieties,  their  origin  through  Mutation. 

Chicago  and  Loudon,  1905. 
*38.     Wallace,  A.  K     Darwinism.     London,  1889. 
39.     Weisniann,  A.  Essays  upon  Heredity  and  Kindred  Subjects 
(Trans.).     Oxford,  1891,  1892. 

*40.    The  Germ   Plasm  (Trans.  Parker  and  Ronnfeldt). 

London,  1893. 

*41.     The   Evolution   Theory   (Trans.  J.    A.    and    M.    R. 

Thomson).     London,  1904. 
42.    Wheldale,  Muriel.   Plant  Oxydases  and  the  Chemical  Inter- 
relationships of  Colour-varieties.     Progressus  Rei  Botani- 
cae,  ni,  p.  457.     Jena,  1910. 
*43.     Whetham,  W.  C.  D.  and  C.     The  Family  and  the  Nation. 
London,  1910. 
43rt.  Wilson,  E.  B.     Studies  on  Chromosomes.     Journal  of  Exp. 

Zoology.     1905-1909. 
44.     Yule,  G.  U.     Mendel's  Laws  and  their  probable  relations 
to  intra-racial  Heredity.     New  Phytologist.     Vol.  i,  1902, 
p.  193. 


155 


GLOSSARY 

Acquired  Character.  A  feature  developed  during  the  life  of  the 
individual  possessing  it,  in  response  to  the  action  of  use  or 
environment. 

Albino.  An  animal  without  pigment  in  the  skin,  hair  or  eyes. 
The  hair  is  white ;  the  eyes  pink  ovnng  to  the  colour  of  the 
blood.  Among  plants,  white-flowered  varieties  are  called 
albinos.    The  condition  is  called  albinism. 

Allelomorph.  One  of  a  pair  of  alternative  Mendelian  characters. 
When  a  pair  of  characters  are  alternative  in  their  in- 
heritance, and  segregate  from  each  other  in  the  formation  of 
the  germ-cells  of  an  individual  which  contains  both,  they  are 
said  to  be  allelomorphic  with  each  other.    See  Segregation. 

Anther.  The  part  of  the  stamen  in  a  flower  which  contains  the 
pollen. 

Chromogen.  A  colourless  substance  which  when  oxidised  gives 
rise  to  a  coloured  body  (pigment). 

Chromosome.  A  body  in  the  nucleus  of  a  cell,  which  absorbs  stains 
and  becomes  clearly  visible  during  nuclear  division,  but  be- 
comes dispersed  through  the  nucleus  during  the  resting  phase. 
During  nuclear  division  each  chromosome  becomes  accurately 
halved,  so  that  in  general  all  cells  of  each  species  of  animal 
or  plant  contain  an  equal  number  of  chromosomes. 

Continuovis.     See  Variation. 

Determinant.  The  hypothetical  unit  in  a  germ-cell  which 
determines  the  production  of  a  i^articular  character  in  the 
individual  derived  from  that  germ-cell.    See  Factor. 


156  GLOSSARY 

Deviation.  The  amount  by  which  an  individual  differs  from  the 
mode  in  continuous  variation. 

Dimorphism.  The  condition  in  which  a  species  exists  in  two 
distinct  types  or  sharply  separable  varieties.  When  the  two 
sexes  differ  thus,  the  condition  is  called  Sexual  Dimorphism. 

Dominant.  When  two  varieties,  differing  in  one  character,  are 
crossed  together,  and  all  the  offspring  have  the  character 
borne  by  one  parent,  that  character  is  dominant  Applied 
to  one  of  a  pair  of  Mendelian  allelomorphs. 

Egg-cell.    The  germ-cell  produced  by  the  female. 

Epistatic.  When  one  character  A  is  superposed  upon  another  B, 
so  that  A  prevents  or  obscures  the  appearance  of  B,  al- 
though they  are  not  allelomorphic  with  each  other,  A  is  said 
to  be  epistatic  to  B. 

^Extracted'  Hom,ozygote.  When  two  heterozygous  individuals 
are  mated  together,  their  homozygous  offspring  are  spoken  of 
as  '  extracted '  homozygotes. 

i^i,  F^.  The  Symbol  Fi  is  used  to  indicate  the  offspring  (first 
filial  generation)  of  a  mating  between  two  differing  individuals. 
The  later  generations  (second,  third  filial,  etc.)  are  repre- 
sented by  Fi,  F3,  etc. 

Factor.  In  Mendelian  inheritance,  the  hereditary  determinant 
(q.v.)  of  a  particular  character  is  spoken  of  as  the  factor  for 
that  character. 

Ferment.  A  body  which  has  the  power  of  causing  chemical 
action  between  substances  which  in  its  absence  are  inactive 
towards  one  another. 

Fertilisation.  The  union  of  male  and  female  germ-cells  which 
precedes  the  development  of  a  new  individual.  It  consists 
essentially  in  the  fusion  of  the  nuclei  of  the  gei-m-cells. 

Gamete.    A  germ-cell,  q.v. 

Gemmules.  Hypothetical  bodies  supposed  to  be  given  off  by  the 
cells  of  the  body,  and  entering  the  gei-m-cells,  to  transmit 
heritable  characters  to  the  next  generation. 


GLOSSARY  157 

Germ-cell.  A  reproductive  cell,  which,  usually  after  union  with 
a  germ-cell  from  another  individual  (fertilisation),  develops 
into  a  new  individual.  In  animals  the  germ-cells  of  the  male 
are  spermatozoa,  those  of  the  female  ova  {egg-cells).  In 
plants  the  male  germ-cells  are  contained  in  the  pollen  ;  the 
female,  egg-cells,  in  the  ovules  or  embryo-seeds. 

Germ-plasm.  The  germinal  substance,  which  according  to 
Weismann  is  alone  able  to  give  origin  to  new  individuals. 

Heterozygote.  An  individual  containing  both  members  of  an 
allelomorphic  pair  of  characters,  i.e.  which  is  hybrid  in  respect 
of  that  pair  of  characters,  and  produces  germ-cells  bearing 
one  and  the  other  respectively.    Adjective — heterozygous. 

Homozygote.  An  individual  made  by  union  of  two  germ-cells 
each  of  which  bears  the  same  member  of  an  allelomorpliic 
pair  of  characters,  so  that  it  is  'pure'  in  respect  of  that 
character,  and  all  its  germ-cells  bear  the  same  character. 
Adjective — homozygous. 

Mode.  The  most  frequent  condition  of  a  character  which  varies 
continuously.     Its  measurement  is  called  the  modal  value. 

Mutation.  A  variety  which  is  not  connected  with  the  type  by 
intermediates.  More  strictly,  the  sudden  origin  of  such  a 
variety. 

Nucleus.  A  sharply  defined  body  found  in  every  cell,  which  seems 
to  control  the  activities  of  the  cell. 

Ovum.    The  germ-cell  produced  by  the  female,  an  egg-cell. 

Pin-eye.  In  Primula  (Primrose,  Cowslip,  etc.),  the  form  in 
which  the  style  is  long  and  the  anthers  low  down  in  the 
flower-tube.  The  other  form,  with  short  style  and  anthers 
high  up,  is  called  Thrum-eye. 

Pollen.  The  powder  bearing  the  male  germ-cells  in  a  flowering 
plant. 

Polym,orphism.  The  condition  in  which  a  species  exists  in 
several  distinct  forms  or  varieties. 

Recessive.    When  two  individuals  are  crossed,  bearing  diflcrent 


158  GLOSSARY 

members  of  an  allelomorphic  pair  of  characters,  the  member 
of  the  pair  which  does  not  appear  in  the  offspring  is  called 
recessive. 

Reversion.  A  '  throw-back '  to  a  previous  ancestor,  or  to  the 
type  of  the  species,  when  varieties  are  crossed. 

Segregation.  In  Mendelian  inheritance,  the  separation  of  the 
two  characters  of  an  allelomorphic  pair,  in  a  heterozygote, 
into  distinct  germ-cells,  i.e.  the  formation  of  gametes  each 
bearing  one  character  of  a  pair,  by  an  individual  which 
contains  both  members. 

Self -fertilisation.  The  fertilisation  of  a  female  gamete  by  a  male 
gamete  produced  from  the  same  individual  The  process  in 
plants  is  spoken  of  shortly  as  selfing. 

Somatic.  Having  reference  to  the  body  {'soma')  considered  as 
distinct  from  the  germ-cells.  A  character  borne  or  exhibited 
by  the  body  but  not  represented  in  the  germ-cells  is  called 
somatic  as  contrasted  with  germ.inal. 

Spermatozoon.    See  Germ-Cell. 

Style.  The  part  of  a  flower  which  receives  the  pollen,  and  con- 
ducts the  male  germ-cell  to  the  egg-cell. 

Telegony.  The  supposed  influence  of  a  former  sire  upon  young 
born  to  a  later  sire  by  the  same  mother. 

Type.  The  normal  form  of  a  species,  which  is  regarded  as 
typical. 

Variation,  Variability.  The  differing  among  themselves  of 
individuals  of  the  same  species.  When  the  extreme  forms 
are  connected  by  a  complete  series  of  intermediates,  the 
variation  is  Continuous;  when  distinct  forms  occur,  not 
connected  by  intermediates,  it  is  Discontinuous. 

Zygote.    An  individual  produced  by  the  union  of  two  gametes. 


INDEX 


Ability,  Inheritance  of,  48 

Abraxas,  121 

Acquired  Clmracters,  19,  24,  30, 

45,  90-99,  136,  140 
Albinism,  66,  71 
Allelomorph,  56,  61,  71,  147 
Amphidasys  betularia,  89 
Ancestral  Heredity,  Law  of,  42 
Andalusian  Fowl,  69 
Bateson,  W.,  19,  70,  76,  82,  125 
Bee,  93,  129 
BiFFEN,  R.  H. ,  64 
Biometric  Methods,  9,  32-51 
Boas,  F.,  96  (note) 
BovERi,  T.,  146 
Brachydactyly,  106 
Bkown-Sequard,  94 
Canary,  124 
Cat,  120 
Cataract,  106 

Chromosomes,  130,  140,  145-150 
Colom'-blindness,  126,  127 
Colour-inheritance,  71-83 
Combs  of  Fowls,  66,  67 
Correlation,  36 

„  parental,  39,  103 

Cunningham,  J.  T.,  91 
Currant  Moth,  121 
Darwin,  2,  8,  23,  24,  88,  136 
Deafness,  103 
Dihybridism,  62 
Disease,  Inheritance  of,  102 
Dominant  Characters,  54 
Drosophila,  126-128 
Earwig,  17 
Eldbbton,  E.  M.,  Hi 


Environment,  24-20,  11*2-117 

Epistatic,  73,  75 

Eugenics,  51 

Evolution,  2,  88,  136 

Ewart,  J.  C,  98 

Extracted  Homozygote,  62,  86 

Eye-colour,  66,  104,  109 

Feeble-minded,  50 

Fischer,  E.,  27,  93 

Flatfish,  91 

Flower-colour,  66,  74,  77,  79-83 

Fluctuation,  22,  45 

Fowls,  66,  67,  124 

Galton,  Sir  F.,  24,  30,  33,  41, 113 

Gametes,  57  {see  Germ-cells) 

Gametic  coupling,  125 

Gemmules,  137 

Germ-cells,  57,  137,  139,  145 

Germinal  Continuity,  138,  144 

Germ -plasm,  20,  23-26,  139-144 

Gregory,  R.  P.,  82 

Guinea-pig,  86,  94 

Haemophilia,  126 

Hair-colour,  66,  109 

Hair-length,  66,  86 

Herbst,  C,  146 

Heron,  D.,  103 

Heterozygote,  59 

Homostyle  (Primula),  82 

Homozygote,  61 

Horns  of  Sheep,  84,  121 

Hurst,  C.  C,  104,  109 

Hybridisation,  53 

Insanity,  102,  114 

Instinct,  92 

JOHANNSEN,  W.,  44,  87 


160 


INDEX 


Kammekek,  p.,  06 

Lamarck,  136 

Leptinotarsa,  28 

Lychnis,  66 

Maize,  65,  66 

Man,  Heredity  in,  101-117,  126 

Marsh-marigold,  15 

Maternal  Impression,  99 

Mendelian  Heredity,  52-89 

„  „        in  Man,  102, 

104-109 
Mendel's  Experiments,  53,  54 
Mental  and  Moral  Characters,  49 
Mid-parent,  40 
Mode,  10,  34 
Morgan,  T.  H.,  123 
Mouse,  74 
Mulatto,  110 
Mutation,  22 

Natural  Selection,  8,  89,  136 
Nettleship,  E.,  106,  108 
Night-blindness,  106 
Nucleus,  140,  145 
Organic  Stability,  24 
Pangenesis,  137 
Pearson,  K.,  32,  41,  115  (note) 
Peas,  54 
Pigeons,  66 
Primula,  66,  79,  81-83 
Protoplasm,  3 
PUNNETT,  R.  C,  70,  125 
'Pure  Lines,'  44,  87 
Rabbit,  74,  79,  87 
Rat,  72,  79,  96  (note) 
Recessive  Characters,  56 
Regression,  35 
Retinitis  pigmentosa,  107 
Reversion,  74,  76 
Rust  in  Wheat,  64 


ScHtrsTEE,  E.,  49,  103 

Sea-urchin  eggs,  145,  146 

Seed-colour,  66 

Segregation,  58 

Sex,  84,  105,  108,  119-134 

Sheep,  84,  121 

Silkworms,  94 

Skew  Curves,  15 
„     Correlation,  39 

Skin-colour,  110 

Social  Problems,  114 

Standfuss,  M.,  27 

Statistical  Study  of  Variation,  32 

Stature,  10,  34,  37 

Sterility,  66,  112 

Stocks,  66,  80 

Sumner,  F.  B.,  96  (note) 

Sweet-pea,  54,  66,  76,  125 

Telegony,  97 

Temperature,  effects  of,  25,  27,  28 

Tortoiseshell  Cat,  84,  120 

Tower,  W.  L.,  28 

Tuberculosis,  25 

Twins,  30,  113,  129 

Variation,  2,  5,  7 

„         Causes  of,  8, 23-  81, 142 

Variation,   Continuous  and  Dis- 
continuous, 9-12,  17-19,  22, 88 

Variation,     Curves     illustrating, 
11-17 

Variation  induced  by  crossing,  29 

Vries,  H.  de,  19 

Wallace,  A.  R.,  8 

Weismann,  a.,  20,  23,  138-144 

Weldon,  W.  F.  R.,  33 

Wheat,  64,  66 

Wheldale,  Muriel,  77 

Yule,  G.  U.,  42 

Zygote,  58 


CAMBRIDfiB  :  PRINTED  BY  JOHN  CLAY,  M.A,  AT  TUE  UNlVEKSITy  PKKBS 


QH 

D65 
1912 


Doncaster,  Leonard 

Heredity  in  the  light  of 
recent  research 


BioMed 


PLEASE  DO  NOT  REMOVE 
CARDS  OR  SLIPS  FROM  THIS  POCKET 

UNIVERSITY  OF  TORONTO  LIBRARY