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Do  not  assume  content  reflects  current 
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CORE  LIST 


■SDA  Forest  Service 
Ksearch  Paper  RM-104 

April  1973 

ocky  Mountain  Forest  and 
ige  Experiment  Station 

orest  Service 

I.S.  Department  of  Agriculture 
art  Collins,  Colorado 


Estimating 
Understory 
Plant  Cover  With 
Rated  Microplots 


by  Meredith  J.  Morris 


401784 


Abstract 

Plant  cover  measurements  are  used  to  detect  changes  caused 
by  grazing,  fire,  and  other  factors.  Tests  on  both  high  and  low 
production  sites  of  17  areas  in  the  West  indicate  that  trained  range 
personnel  rate  small  plots  similarly  in  respect  to  the  area  occupied  by 
aerial  and  basal  plant  cover.  Plots  used  ranged  from  1/8  square  inch 
to  8  square  inches.  Equal  area  rectangles  and  circles  were  used.  All 
are  well  suited  for  rating  plant  cover,  although  the  smaller  sizes 
tended  to  be  slightly  more  precise. 

Oxford:  268.5.  Keywords:  Range  measurements,  range 
surveys,  plant  cover. 


ACKNOWLEDGMENTS 

Many  individuals  assisted  in  various 
aspects  of  the  microplot  study.  Without  this 
cooperation,  the  study  would  not  have  been 
possible  because  nearly  one-half  million 
samples  were  taken. 

I  am  particularly  grateful  to  Robert  S. 
Rummell  for  valuable  assistance  in  the  plan- 
ning and  conduct  of  this  study  and  to  Dr. 
Richard  S.  Driscoll  for  much  help  in  the 
fieldwork.  Forest  Service  personnel,  past  and 
present,  who  did  the  sampling  at  two  or  more 
locations  were  as  follows:  Robert  F.  Buttery, 
John  W.  Chambers,  Ralph  K.  Gierisch,  Dr. 
Frederick  C.  Hall,  Irwin  H.  Johnson,  Monty  E. 
Montague,  Dr.  Walter  F.  Mueggler,  Thomas  A. 
Phillips,  Cecil  R.  Sims,  Philip  R.  South,  Gerald 
S.  Strickler,  Wayne  H.  Swenson,  Stanton 
Wallace,  Andrew  C.  Wright,  Dr.  Henry  A. 
Wright,  and  Clerin  W.  Zumwalt. 

Also,  I  wish  to  thank  Glen  E.  Brink  for 
assistance  in  programing  and  data  processing 
and  all  the  others  who  helped  in  this  study. 


USDA  Forest  Service  April  1973 

Research  Paper  RM-104  ~ 


Estimating  Understory  Plant  Cover  , -j 

With  Rated  Microplots^ /^^J  ^ 


by 

Meredith  J.  Morris/Principal  Biometrician 
Rocky  Mountain  Forest  and  Range  Experiment  Station1 


^Central  headquarters  maintained  at  Fort  Collins,  in  cooperation  with 
Colorado  State  University. 


Contents 

Page 

Previous  Work   1 

Procedures   2 

Study  Areas  and  Sampling  Layout   2 

Microplot  Ratings   4 

Point-Frame  Readings   5 

Data  Analyses   5 

Results  and  Discussion   6 

Microplot  Ratings   6 

Point-Frame  Readings   9 

Efficiency  12 

Conclusions  12 

Literature  Cited  12 


Estimating  Understory  Plant  Cover 
With  Rated  Microplots 

Meredith  J.  Morris 


For  some  time,  land  managers  on  National 
Forest  and  other  publicly  owned  rangelands 
have  expressed  a  need  for  an  indicator  of  how 
influences  such  as  livestock  grazing,  big  game 
use,  recreation,  and  other  environmental  factors 
are  affecting  the  range.  In  my  opinion,  plant 
cover — percent  area  occupied  by  shrubs,  forbs, 
and  grasses — is  the  best  single  measure  of  these 
impacts  upon  understory  vegetation.  Several 
studies  by  other  people  and  some  preliminary 
work  of  my  own  have  shown  that  rating  or 
scoring  the  area  occupied  by  plants  inside  small 
plots,  or  "microplots,"  might  be  used  to  estimate 
plant  cover,  both  aerial  and  basal.  If,  in  fact, 
cover  could  be  estimated  accurately  and 
efficiently  from  rated  microplots,  then  this 
technique  should  be  considered  for  general  use 
and  for  possible  incorporation  into  the  "3-Step 
Method"  for  measuring  trend  in  range  condition 
(Parker  1951).  The  plant  cover  index,  as  derived 
in  the  3-Step  Method,  is  synonomous  with  the 
frequency  (of  occurrence)  figure  long  used  by 
plant  ecologists.  The  plot  used  in  the  3-Step 
Method  is  much  smaller  than  what  is  generally 
used  by  ecologists,  however. 

Frequency  is  partially  dependent  upon 
plant  cover,  so  the  two  measures  will  be 
correlated.  The  degree  of  correlation  will  depend 
upon  many  factors,  however.  Hence,  the  value  of 
frequency  as  an  index  to  plant  cover  will  vary 
from  one  set  of  conditions  to  another. 


Previous  Work 

Although  several  authors  pointed  out  that 
plant  density  or  cover  indexes  were  larger  than 
estimates  of  plant  cover  obtained  by  methods 
such  as  points  or  line  intercept,  they  did  not  give 
reasons  for  the  difference.  Hutchings  and 
Holmgren  (1959)  discussed  the  relation  between 
plant  density  index  (frequency  of  aerial  and 
basal  cover)  and  actual  plant  cover,  as  well  as  the 
effects  of  plot  size,  number  and  size  of  plants, 
plant  dispersion,  and  plant  shape  on  the  index. 
The  overestimate  of  cover,  or  bias,  obtained  by 
use  of  the  loop  as  discussed  by  Hutchings  and 
Holmgren  (1959)  is  actually  identical  to  the  bias 
discussed  by  Goodall  (1952)  in  relation  to  the 
overestimation  of  cover  with  pins  when  the 
points  of  the  pins  have  greater  than  zero 
dimension. 

The  idea  of  using  rated  plots  for  estimating 
plant  cover  is  not  new.  The  use  of  a  very  small 
plot,  or  "microplot,"  has  been  limited,  however. 


Hutchings  and  Holmgren  (1959)  summarized  the 
results  of  a  test  on  synthetic  plant  populations 
composed  of  29/32-inch-diameter  circles  with 
concentric  3/8-inch-diameter  circles  of  different 
colors  randomly  located  on  a  strip  of  paper  2  feet 
wide  and  60  feet  long.  Several  observers  sampled 
these  synthetic  populations  with  a  13/16-inch- 
diameter  loop  at  1 -foot  intervals  along  randomly 
located  50-foot  line  transects.  The  loops  were 
rated  to  the  nearest  one-tenth  of  area  occupied.  A 
large  number  of  samples  showed  that  the  rated 
loops  provided  close  estimates  of  the  actual  area 
occupied  by  the  artificial  populations  of  3/8-inch 
and  29/32-inch  circles.  Estimates  were  1.2  and 
1.1  times  greater  than  the  actual  for  the  two 
populations,  respectively.  Some  of  the 
differences  between  the  actual  and  observed 
values  could  be  attributed  to  sampling  error, 
however,  as  the  rated  loop  estimates  were  quite 
variable  in  these  particular  populations. 

Cook  and  Box  (1961)  compared  rated  3/4- 
inch  loops  with  point-frame  and  single  point 
readings  for  crown  canopy  and  basal  area  along 
100-foot  transects  in  a  mountain  brush  type  in 
northern  Utah.  For  the  loop,  a  measurement  was 
not  recorded  unless  one-half  or  more  of  the  loop 
was  filled;  this  constitutes  a  2-point  scale.  Only 
first  contacts  were  recorded  in  aerial  cover  for  all 
three  methods.  They  found  that  the  rated  loop 
overestimated  aerial  cover  for  shrubby  species 
and  underestimated  it  for  grasses.  Estimates  of 
aerial  cover  for  forbs  and  basal  area  for  all 
groups  were  essentially  the  same  by  all  three 
methods. 

Winkworth,  Perry,  and  Rossetti  (1962) 
compared  estimates  from  three  sizes  and  shapes 
of  rated  plots  with  those  obtained  from  points 
and  line  intercepts  in  an  arid  tussock  grassland 
in  central  Australia.  The  small  plots  used  for 
rating  or  scoring  were  a  circle  of  1.9  cm  (0.75  inch) 
diameter,  and  rectangles  measuring  2  cm  by  5  cm 
and  4  cm  by  10  cm.  Presence  or  absence  of  aerial 
cover  in  the  circular  plot  was  scored  according  to 
whether  cover  was  greater  or  less  than  50 
percent.  The  rectangular  plots  were  scored  in  10 
percent  cover  classes  from  0  to  100.  A  comparison 
of  means  and  variances  showed  that,  while  the 
line  intercept  method  was  in  doubt,  for  all 
practical  purposes  the  five  methods  gave  similar 
and  equally  reliable  estimates.  The  point  method 
and  the  rated  circular  plot  were  more  rapid  than 
the  others. 

In  July  1962,  a  preliminary  test  of  rated 
microplots  was  conducted  in  the  Fairfield 
District  of  the  Sawtooth  National  Forest  in 


1 


Idaho.  A  meadow  site  and  a  bunchgrass  site  were 
sampled  with  25  randomly  located  points  each. 
Four  rectangles  and  four  circles  of  varying  size, 
fully  described  later  in  this  report,  were  rated  to 
the  nearest  one-tenth  of  area  occupied  by  shrub, 
forb,  and  grass  species  for  both  aerial  cover  and 
basal  area.  Litter,  rock,  bare  soil,  erosion 
pavement,  and  mosses  on  the  soil  surface  were 
also  rated.  The  same  items  rated  on  the 
microplots  were  also  recorded  using  a  10-point 
frame  at  the  same  sample  points. 

Although  the  data  were  not  completely 
analyzed,  summaries  showed  no  apparent 
differences  in  the  ratings  from  the  different 
microplots.  The  point  frame  and  the  larger 
microplots  detected  more  species,  however.  It 
was  also  noticed  that  some  of  the  microplots  were 
easier  to  score  than  others. 

Since  the  use  of  rated  microplots  seemed  to 
be  feasible  from  the  results  of  the  preliminary 


test,  a  large-scale  study  was  designed  with  the 
following  objectives: 

1.  To  determine  the  effect  of  selected  microplot 
sizes  and  shapes  on  ratings  of  cover  or  percent 
area  occupied  by  plants. 

2.  To  estimate  the  optimum  microplot  on  the 
basis  of  a  minimized  variance-cost  function. 

3.  To  compare  cover  estimates  derived  from 
rated  microplots  and  pins  in  a  point  frame. 


Procedures 

Study  Areas  and  Sampling  Layout 

The  study  was  designed  to  sample  the 
major  range  types  at  17  locations  in  the  western 
United  States.  These  locations  were  selected 
within    National   Forests   and  Experimental 


Table  1. — Vegetation  types,  locations  on  Ranger  Districts  (RD)  of  National  Forests  (NF)  and 

Experimental  Forests  and  Ranges,  and  sampling  dates 


Vegetation  type 


Location 


Sampling  date 


Mountain  grassland 

Helena  NF  -  Townsend  RD,  Townsend,  Montana 

June 

1963 

Mountain  bunchgrass-Thurber  fescue 

Black  Mesa  Exp.  Range,  Crawford,  Colorado 

July 

1964 

Pacific  bunchgrass 

Sawtooth  NF  -  Twin  Falls  RD,  Twin  Falls,  Idaho 

June 

1963 

Sod- forming  grama 

Sitgreaves  NF  -  Pinedale  RD, 

October 

1963 

Snowflake,  Arizona 

Mixed  gramas 

Santa  Rita  Exp.  Range,  Amado,  Arizona 

October 

1963 

Mountain  meadow 

Beaverhead  NF  -  Jackson  RD,  Jackson,  Montana 

July 

1964 

Mountain  meadow 

Tahoe  NF  -  Sierraville  RD, 

August 

1964 

Sierraville,  California 

Upland  herb-aspen 

U.S.  Sheep  Station  Exp.  Range,  Dubois,  Idaho 

August 

1964 

Sagebrush- grass 

U.S.  Sheep  Station  Exp.  Range,  Dubois,  Idaho 

June 

1964 

Chaparral 

Prescott  NF  -  Granite  RD,  Prescott ,  Arizona 

April 

1964 

Mixed  shrub 

Roosevelt  NF  -  Redfeather  RD,  September 

1964 

Redfeather  Lakes,  Colorado 

Sagebrush-bitterbrush 

Tahoe  NF  -  Truckee  RD,  Truckee,  California 

August 

1964 

Pine-bunchgrass 

Manitou  Exp.  Forest,  Woodland  Park,  Colorado 

August 

1963 

Pine-bunchgrass 

Ochoco  NF  -  Big  Summit  RD,  Pineville,  Oregon 

June 

1964 

Pine-pinegrass 

Starkey  Exp.  Range,  LaGrande,  Oregon 

August 

1963 

Aspen-weed 

Routt  NF  -  Bears  Ears  RD,  Craig,  Colorado 

July 

1963 

Annual  grass 

San  Joaquin  Exp.  Range,  Coarsegold,  California 

May 

1964 

2 


Areas  to  represent  most  of  the  major  range  forage 
types  of  the  National  Forests. 

The  range  types  and  locations  sampled 
and  sampling  dates  are  shown  in  table  1.  At  each 
location  we  selected  two  contrasting  test  sites, 
one  containing  an  abundance  of  vegetation  and 
a  similar  site  containing  a  sparse  amount  (fig.  1). 
The  amount  and  homogeneity  of  the  vegetation 


on  the  two  sites  were  the  criteria  for  selection  as 
test  areas. 

The  size  of  the  sampling  area  varied  from 
about  1/2  acre  minimum  to  about  5  acres 
maximum.  Fifty  random  sample  points  were 
marked  on  each  site  (high  and  low),  making  a 
total  of  100  sample  points  for  each  location.  Each 
sample  point  was  located  by  means  of  compass 


Figure  1.  —  Two  contrasting  test 
sites  in  the  ponderosa  pine- 
bunchgrass  type,  Manitou 
Experimental  Forest,  Colo- 
rado: 


bearings  and  pacing,  and  marked  with  an  angle 
iron  stake  with  3/4-inch  flanges  driven  into  the 
ground  to  provide  a  fixed  locus  for  the  microplots 
and  point  frame.  All  stakes  were  oriented  so  that 
the  open  side  of  the  "V"  faced  north.  The 
maximum  height  of  the  stakes  aboveground  was 
about  5  1/2  feet;  measurements  were  taken  only 
from  the  4-foot  level  to  the  ground  surface. 

About  3  feet  south  of  each  metal  stake,  a 
surveyor's  wooden  stake  was  driven  into  the 
ground.  Each  wooden  stake  was  numbered  and 
tagged  for  permanent  identification  so  that 
remeasurements  could  be  made  at  a  future  time  to 
measure  vegetative  or  site  changes. 


Microplot  Ratings 

Two  microplot  shapes  (circles  and 
rectangles)  with  four  sizes  per  shape  were  tested 
(fig.  2).  The  circle  has  the  least  perimeter  of  any 
geometric  figure  for  a  fixed  area.  The  rectangle 
was  arbitrarily  designed  with  the  length  being 
twice  the  width.  Each  pair  of  shapes  enclosed  an 
equal  area,  so  that  microplot  shapes  could  be 
directly  compared.  The  areas  in  square  inches 
and  the  dimensions  in  inches  for  each  microplot 
size  and  shape  were: 


Circle 

Rectangle 

Area 

(diameter) 

1/4  x  1/2 

0.125 

0.3989 

1/2  x  1 

.500 

.7979 

1  x  2 

2.000 

1.5958 

2x4 

8.000 

3.1915 

Aerial  or  crown  cover  and  basal  area  by 
species  for  shrubs,  forbs,  grasses,  and  soil 
surface  items  were  rated  at  each  sample  point. 
Items  rated  were  defined  as  follows: 

1.  Aerial  cover. — The  vertical  projection  by 
species  of  all  live  plant  parts  from  the  4-foot 
level  to  the  ground  surface. 

2.  Basal  area. — The  area  occupied  by  live  plant 
parts  at  the  ground  surface,  or  the  area  defined 
by  live  root  crown.  The  basal  area  of  plants 
with  basal  rosettes  was  understood  to  be  the 
area  defined  by  live  root  crowns  only;  the  rest 
of  the  live  parts  were  considered  aerial  cover. 

3.  Litter. — Dead  organic  material  lying  on  the 
soil  surface  from  previous  years'  growth.  Dead 
centers  of  plants  were  also  considered  as  litter 
if  the  parts  were  in  contact  with  the  ground 
surface.  Animal  droppings  were  considered  as 
litter. 


Figure  2. — Set  of  eight  frames  used  in  microplot  study. 
The  largest  rectangle  is  2  by  4  inches. 


4 


4.  Moss  and  lichens. — Area  covered  by  moss 
and  lichens  growing  on  the  soil  surface. 

5.  Bare  soil. — All  exposed  mineral  soil  and  rock 
particles  up  to  1/8  inch  diameter,  and  well- 
dispersed  rock  particles  up  to  3/4  inch 
diameter  that  did  not  provide  a  continuous 
cover. 

6.  Erosion  pavement. — Particles  of  rock  from 
1/8  to  3/4  inch  in  diameter  forming  a 
continuous  cover  on  the  soil  surface. 
Individual  rock  particles  from  1/8  to  3/4  inch 
in  diameter  that  did  not  form  a  continuous 
cover  were  classified  as  bare  soil. 

7.  Rock. — Stones  larger  than  3/4  inch  in 
diameter  at  the  soil  surface. 

Two  teams  of  two  men  each  worked  at  each 
site.  One  man  on  each  team  made  the  readings 
for  all  eight  of  the  microplots  at  all  the  sample 
points  in  the  site;  the  other  man  did  all  the 
recording.  Therefore,  two  complete  sets  of 
readings  were  taken  at  each  site.  Forms  were 
designed  for  field  use  that  would  allow  data  to  be 
transferred  directly  to  punch  cards. 

Sliding  metal  arms,  which  clamped  se- 
curely to  the  angle  iron  stake  at  a  desired  height, 
were  used  to  position  the  microplot  frames  in  the 
same  place  (fig.  3).  The  eight  microplots  were 
rated,  in  random  order,  by  each  observer  on  each 
team  to  the  nearest  one-tenth  (1/10  =  score  of  1; 
10/10  =  score  of  10)  of  area  occupied,  for  each  of 
the  items  that  occurred  in  that  microplot.  Only 
one  randomly  selected  microplot  frame  at  a  time 
was  used  by  each  team  until  all  the  readings  had 
been  made  at  all  50  sample  points  in  the  site. 
Within  each  microplot,  ratings  of  basal  area  and 
soil  surface  items  could  have  only  a  maximum 
total  of  10;  the  aerial  cover  ratings  did  not  have 
any  combined  maximum  value. 


Point-Frame  Readings 

After  the  ratings  had  been  completed  in  a 
site  by  each  of  the  two  observers  for  all  eight 
microplot  frames,  point  readings  from  the  4-foot 
level  to  the  ground  were  taken  by  means  of  a  cir- 
cular point  frame  containing  10  vertical  pins. 
The  point  frame  was  designed  so  that  the  10  pins 
were  equally  spaced  on  a  circle  with  a  circumfer- 
ence equal  to  that  of  the  largest  circular  micro- 
plot  (fig.  4).  All  hits  by  species  on  live  aerial  parts 
of  plants  and  hits  on  basal  area  by  species  and 
soil  surface  items  were  recorded.  Only  one  set  of 
point  readings  was  made  on  each  site. 

Time  records  were  kept  for  each  of  the 
microplots  and  the  point-frame  readings  (that  is, 
for  each  set  of  50  observations).  When  an 
observer  started  rating  one  of  the  microplots  at 
the  first  sample  point  in  a  site,  the  recorder  on  the 


Figure  3. — Sliding  metal  arm  used  to  position 
microplot  frames  in  the  same  place. 


team  started  a  stopwatch.  At  the  completion  of 
the  last  reading,  the  watch  was  stopped  and  the 
total  elapsed  time  recorded.  The  watch  was 
stopped  during  any  interruptions.  The  time 
involved  in  taking  the  point  readings  was 
measured  in  a  similar  manner. 


Data  Analyses 

Microplot  and  point-frame  data  were 
analyzed  in  the  following  steps:  (1)  Identifying 
and  informative  material  such  as  plant  species 
names  were  edited  and  coded  numerically;  (2) 
measurement  and  coded  data  were  punched  on 
cards;  (3)  computer  programs  were  written  and 
checked;  and  (4)  detailed  variance  analyses  were 
computed. 


5 


Analyses  of  variance  were  made  on  the 
aerial  cover  data  with  plot  shape,  plot  size, 
observers,  sites,  and  locations  being  the  main 
effects.  A  plant  species  thus  had  to  be  present  on 
both  sites  within  two  or  more  locations.  A 
maximum  of  seven  locations  could  be  used  in  the 
combined  analysis  because  of  storage 
limitations  in  the  computer.  The  analyses  were 
repeated  for  basal  area  ratings  of  each  plant 
species  and  ratings  of  ground  surface  items.  A 
mixed  components-of-variance  model  was 
assumed  in  this  study,  with  microplot  shape, 
microplot  size,  and  site  being  fixed  effects  and 
observer  and  location  being  random  effects.  The 
components  of  variance  in  this  mixed  model  are 
shown  in  table  2.  Note  that  the  main  effects,  A,  B, 
and  D,  and  the  interactions,  AB,  AD,  BD,  and 
ABD,  have  no  error  terms  for  making 
significance  tests  (F  test).  In  these  cases, 
approximate  tests  were  used  (Cochran  1951, 
Satterthwaite  1946). 

Point-frame  readings  of  aerial  cover  and 
basal  area  of  plant  species  and  ground  surface 
items  were  summarized  by  observer,  site,  and 
location,  and  compared  directly  with  the  largest 
circular  microplot  ratings  in  analyses  of 
variance.  Methods  (points  versus  ratings  of  two 
observers)  and  sites  were  assumed  to  be  fixed 
effects,  and  locations  a  random  effect.  The 
components-of-variance  model  for  this  analysis 
is  shown  in  table  3. 


Results  and  Discussion 

Microplot  Ratings 

If  the  "best"  microplot  or  plots  were 
determined  for  each  plant  species  or  soil  surface 
item,  each  cover  type,  each  site,  and  each 
location,  it  would  be  difficult  to  select  the  one 
optimum  microplot  for  management  purposes. 
Therefore,  the  microplot  ratings  were  analyzed 
for  a  particular  plant  species  or  soil  surface  item 
and  cover  type  occurring  at  two  or  more 
locations.  Note  in  table  2  that  individual 
observer,  site,  and  location  differences  are 
evaluated.  Grasses,  forbs,  shrubs,  and  soil 
surface  items  (different  forms  and  shapes)  were 
all  represented  in  the  combined  location 
analyses. 

Examples  of  combined  location  analyses 
are  shown  in  tables  4  and  5.  Table  4  is  the 
analysis  of  variance  for  ratings  of  aerial  cover  of 
Achillea  lanulosa  Nutt.,  or  woolly  yarrow.  The 
four  locations  are  mountain  bunchgrass-Thurber 
fescue,  upland  herb-aspen,  pine-bunchgrass,  and 
aspen-weed.  Note  that  significant  differences 
were  found  between  locations  in  the  main  effects 
and  in  the  interaction  terms,  shape-by-observer 
and  site-by-location.  Since  observer  and  location 
effects  are  confounded  (different  observers  were 
used  at  different  locations),  the  significant  terms 
are  not  important.  And,  of  course,  sites  and 


6 


Table  2. — Components-of-variance  model  for  microplot  ratings — combined  locations 


Sbape 

A 

(a=2) 

a2 

+ 

rbda2  „ 
ACE 

+ 

rbcda2 
AE 

+ 

rbdea2 
AC 

+ 

rbcdea2 
A 

Size 

B 

(b=4) 

a2 

+ 

rada2  „ 
BCE 

+ 

racda2 
BE 

+ 

radea2 
BC 

+ 

racdea2 
B 

Observer 

c 

(c=2) 

a2 

+ 

rabda2 
CE 

+ 

rabdea2 
C 

Site 

D 

(d=2) 

a2 

+ 

raba2  „ 
CDE 

+ 

rabca2 
DE 

+ 

rabea2 
CD 

+ 

rabcea2 
D 

Location 

E 

(e=2,3, . 

a2 

+ 

rabda2 
CE 

+ 

rabcda2 
E 

AB 

.  a2 

+ 

rda2 
ABCE 

+ 

rcda2  _ 
ABE 

+ 

rdea2 
ABC 

+ 

rcdea2 
AB 

AC 

o2 

+ 

rbda2  „ 
ACE 

+ 

rbdea2 
AC 

BC 

a2 

+ 

radaBCE 

+ 

radea2c 

ABC 

a2 

+ 

rdalBCE 

+ 

rdeCTlBC 

AD 

a2 

+ 

rbalcDE 

+ 

rbcaADE 

+ 

rbe°lcD 

+ 

rbceaAD 

BD 

a2 

+ 

raaBCDE 

+ 

racaBDE 

+ 

r3eaBCD 

+ 

racea2D 

ABD 

a2 

+ 

ra2 
ABCDE 

+ 

rCCTABDE 

+ 

reaiBCD 

+ 

rceCTlBD 

CD 
ACD 
BCD 
ABCD 
AE 
BE 
ABE 
CE 
ACE 
BCE 
ABCE 
DE 
ADE 
BDE 
ABDE 
CDE 
ACDE 
BCDE 
ABCDE 
Residual 


(r=50) 


raba 


CDE 


+  rabea 


CD 


rba 


raa 


ra 


ACDE 

2 

BCDE 


+  rbea 


+  raea 


ACD 

2 

BCD 


ABCDE 
rbdalcE 
rad0BCE 


+  rea 


ABCD 


+  rbcda 


+  racda 


AE 

2 

BE 


rda 


ABCE 


+  rcda 


ABE 


a2  +  rabda£E 

°2  +  rbdalcE 
°2  +  radaBCE 
°2  +  rd°ABCE 
°2  +  rabaCDE 
°Z  +  rbalcDE 
°2  +  ra°BCDE 
°Z  +  r°ABCDE 
°2  +  rabaCDE 
°2  +  rbalcDE 
°2  +  raaBCDE 
°2  +  ralBCDE 


+  rabca 


DE 


+  rbca 


+  raca 


ADE 
BDE 


+  rca 


ABDE 


7 


Table  3. — Components-of-variance  model  for  point-frame  readings  versus 
largest  circular  microplot  ratings — combined  locations 


Method 

A  (a=3) 

a2 

+  rbaAC 

+  rbca^ 

Site 

B  (b=2) 

a2 

+  raCTBC 

+  raca* 

Location 

C  Cc=2,3, 

.  . . , 

7) 

a2 

+  raba* 

AB 

o2 

+  raABC 

+  rCOAB 

AC 

a2 

+  rbalc 

BC 

a2 

+  ra°BC 

ABC 

2 

cr 

+  rCTABC 

Residual 

(r=50) 

a2 

Table  4.— 

-Analysis  of 

variance  for  microplot 

Table 

5.- 

-Analysis  of  variance  for  microplot 

ratings  of 

aerial  cover  of 

Achillea 

ratings 

of  bare 

soil  at  six 

loca- 

lanulosa  at 

four  locations 

tions 

Source 

of      Degrees  of      Sum  of 

Mean 

Source 

of      Degrees  of 

oUTn  o  r 

Mean 

variation        freedom  squares 

o  UUd L Co 

variation  freedom 

q  n  ii  a  r"p  q 

squares 

Shape 

0. 744 

0.744 

Shape 

f  A") 

i 

X 

17.7 

17.  7 

Size 

(B)  3 

8.36 

2.79 

Size 

(B) 

3 

19.1 

6.36 

Observer 

(C)  1 

0.620 

0.620 

Observer 

(C) 

1 

1.98 

1.98 

Site 

(D)  1 

68.3 

68.3 

Site 

(D) 

1 

6540.0 

6540.0 

** 

Location 

(E)  3 

119.0 

39.6 

** 

Location 

(E) 

5 

11200.0 

2250.0 

** 

AB 

3 

0.594 

0.198 

AB 

3 

12.0 

3.99 

AC 

1 

0.439 

0. 439 

** 

AC 

1 

3.  30 

3.30 

BC 

3 

4.47 

1.49 

BC 

3 

32.2 

10.7 

ABC 

3 

0.447 

0.149 

ABC 

3 

6.31 

2.10 

AD 

1 

0.263 

0.263 

AD 

1 

0.220 

0.220 

BD 

3 

5.56 

1.85 

BD 

3 

3.26 

1.09 

ABD 

3 

0.0355 

0.0118 

ABD 

3 

1.80 

0.599 

CD 

1 

1.41 

1.41 

CD 

1 

1.60 

1.60 

ACD 

1 

0.000156 

0.000156 

ACD 

1 

0.00667 

0.00667 

BCD 

3 

3.51 

1.17 

BCD 

3 

5.39 

1.80 

ABCD 

3 

0.325 

0.108 

ABCD 

3 

10.4 

3.47 

AE 

3 

0.0817 

0.0272 

AE 

5 

18.6 

3.72 

BE 

9 

17.2 

1.91 

BE 

15 

36.7 

2.45 

ABE 

9 

1.47 

0.164 

ABE 

15 

31.0 

2.07 

CE 

3 

2.76 

0.920 

CE 

5 

199.0 

39.9 

** 

ACE 

3 

0.0367 

0.0122 

ACE 

5 

54.7 

10.9 

BCE 

9 

10.1 

1.13 

BCE 

15 

57.6 

3.84 

ABCE 

9 

1.58 

.176 

ABCE 

15 

43.4 

2.89 

DE 

3 

320.0 

107.0 

** 

CE 

5 

3520.0 

704.0 

** 

ADE 

3 

0.653 

0.218 

ADE 

5 

16.9 

3.38 

BDE 

9 

26.6 

2.96 

BDE 

15 

137.0 

9.16 

ABDE 

9 

1.31 

0.146 

ABDE 

15 

18.0 

1.20 

CDE 

3 

0.590 

0.197 

CDE 

5 

124.0 

24.8 

** 

ACDE 

3 

1.24 

0.415 

ACDE 

5 

12.5 

2.50 

BCDE 

9 

12.1 

1.  35 

BCDE 

15 

74.7 

4.98 

ABCDE 

9 

0.601 

0.0668 

ABCDE 

15 

49.8 

3.32 

Residual 

6262 

5540.0 

0.884 

Residual 

9408 

58700.0 

6.24 

Total 

6399 

6150.0 

Total 

9599 

81000.0 

**  -  Significant  at  the  0.01  probability  level.  **  -  Significant  at  the  0.01  probability  level. 


8 


locations  were  selected  to  be  different.  The  mean 
cover  estimates  of  the  eight  microplots 
corresponding  to  the  analysis  in  table  4  were: 

Mean  cover 


Size  Rectangle  Circle 

1  0.314  0.320 

2  .242  .228 

3  .251  .206 

4  .254  .221 
Mean             .265  .244 


Size  1  is  the  smallest  plot,  and  size  4  is  the 
largest. 

Table  5  is  the  analysis  of  variance  for 
ratings  of  bare  soil  at  six  combined  locations — 
mountain  grassland,  mountain  bunchgrass- 
Thurber  fescue,  upland  herb-aspen,  pine- 
bunchgrass,  pine-pinegrass,  and  aspen-weed. 
Significant  differences  were  found  between  sites 
and  locations  in  the  main  effects  and  in  the 
interaction  terms,  observer-by-location,  site-by- 
location,  and  observer-by-site-by-location.  The 
mean  cover  estimates  of  the  eight  microplots 
corresponding  to  the  analysis  in  table  5  were: 

Mean  cover 


Size 

Rectangle 

Circle 

1 

1.65 

1.77 

2 

1.67 

1.84 

3 

1.68 

1.75 

4 

1.83 

1.81 

Mean 

1.71 

1.79 

There  were  22  analyses  of  the  combined 
locations  type  for  aerial  cover  of  different  plant 
species,  and  20  analyses  for  basal  area  of  plant 
species  and  soil  surface  items.  The  same  pattern 
developed  throughout  all  these  analyses: 
differences  in  the  main  effects,  except  for  site 
and  location,  were  almost  all  nonsignificant.  On 
a  very  broad  basis,  then,  we  can  say  that 
differences  in  microplot  shape,  microplot  size, 
and  observers  are  nonsignificant  statistically 
for  the  populations  studied.  First-order 
interaction  terms  that  were  significant  mostly 
involved  site  or  location  differences. 


Point-Frame  Readings 

The  ratings  from  the  largest  circular 
microplot  (about  3.2-inch  diameter)  and  the 
point-frame  readings  are  compared  statistically 
in  table  6.  This  table  is  the  analysis  of  variance 
for  bare  soil  at  the  same  six  locations  that  are 
combined  in  table  5.  Mean  ratings  of  each  of  two 


Table  6. — Analysis  of  variance  for  methods  com- 
parison of  bare  soil  readings  at  six 
locations  (largest  circular  microplot 
versus  point  frame) 


Source  of 
variation 

Degrees  of 
freedom 

Sum  of 
squares 

Mean 
squares 

Method  (A) 

2 

27.1 

13.5 

Site  (B) 

1 

1250.0 

1250.0 

T  nrafinn       (  C^S 

LiULaUXUll         \\s  J 

5 

1820.0 

363.0 

** 

AB 

2 

3.64 

1.82 

AC 

10 

89.3 

8.93 

* 

BC 

5 

571.0 

114.0 

** 

ABC 

10 

40.4 

4.04 

Residual 

1764 

7870.0 

4.46 

Total 

1799 

11700.0 

*  -  Significant  at  the  0.05  probability  level 
**  -  Significant  at  the  0.01  probability  level 


observers  are  compared  to  point-frame  readings 
in  table  6,  hence  the  two  degrees  of  freedom  for 
method. 

For  aerial  cover,  only  one  analysis  out  of 
22  showed  a  significant  difference  (table  7).  For 
basal  area  and  soil  surface  items,  only  two 
analyses  out  of  19  showed  significant  differences 
(table  8). 

Point-frame  readings  were  higher  in 
absolute  value  than  the  3.2-inch  plot  ratings  in 
all  but  two  cases  for  the  aerial  cover  analyses 
(table  7).  This  is  to  be  expected,  however,  because 
the  vertical  projection  within  a  fixed  plot 
boundary  will  have  a  maximum  value  of  100 
percent  cover,  while  pin  contacts  can  add  up  to 
over  100  percent  cover  since  each  contact  for  a 
species  is  recorded.  Differences  between  the  two 
methods  were  with  grass  species. 

For  soil  surface  items  and  basal  area  of 
plants,  only  7  out  of  19  analyses  showed  point- 
frame  readings  to  be  higher  in  absolute  value 
than  microplot  ratings  (table  8).  Thus,  there  is  a 
tendency  for  the  rated  microplots  to  give 
somewhat  higher  readings  (12  out  of  19)  than  the 
point  frame,  indicating  a  small  positive  bias. 
This  bias  is  not  considered  to  be  important  from 
a  practical  standpoint,  however. 


9 


Table  7. — Mean  values  for  3 . 2- inch-diameter  plots  and  point  frames,  and 
nearest  plot  means,  sizes,  and  shapes  for  aerial  cover 


Nearest  plot  values 


Species  or  soil  item 

Number  of 
locations 

3 . z-incn 
plot 

Point 
frame 

Mean 

Size  and 
shape1 

Annual  forbs 

4 

0.276 

0.310 

0.286 

1C 

Kc.vu11.qjx  lanuloAa 

5 

.221 

.330 

.320 

1C 

KqohikJj,  glauca 

3 

.363 

.473 

.365 

4R 

kwt<i.vinaxjjx  n.o&m. 

2 

.693 

.735 

.693 

4C 

fHRQCUvia  vAJtg-lniana 

2 

.138 

.130 

.128 

4R 

bxtkyfwM  tuxzcintkuM 

2 

.143 

.220 

.225 

1C 

TaAa.xa.cum  o^icJ-viat<i 

2 

.128 

.110 

.122 

3C 

Annual  grasses 

2 

.365 

1.27 

.673 

1C 

kgn.opyn.on  6pi.caJum 

3 

.283 

.603 

.365 

1R 

A.  tnachycaalum 

2 

.123 

.595 

.175 

1C 

BouteJLoua  gfiaclt<J> 

3 

.518 

.837 

.580 

4R 

CatamagtioAtAj)  AubeAcanA 

2 

.418 

1.14 

.530 

1R 

VeAchampA-La  ca<Lt>pi£oi>a, 

2 

1.13 

2.53 

1.14 

1C 

ToAtuca.  <Lda.ko<int>-a> 

3 

.970 

2.46 

.970 

4C 

KozZqjuxl  cAAJstxtfa 

2 

.163 

.320 

.163 

4C 

Poa  &  dC-undo. 

3 

.132 

.367 

.258 

1C 

SyUja.vu.on.  hy6t/vix 

2 

.128  * 

.180 

.192 

1C 

Stlpa  comata. 

2 

.030 

.065 

.060 

2R 

CaJLdX  spp. 

2 

1.11 

1.19 

1.18 

2C 

hvtmUiia.  ^njjgi.da. 

2 

.605 

1.28 

.633 

4R 

A.  tsU.de.vitata 

3 

.623 

.873 

.833 

1C 

PuMkia  tnJAzwbxta 

2 

.833 

1.26 

.833 

4C 

*  -  Significantly  different  from  points. 

1  -  R  =  rectangle,  C  =  circle,  1  to  4  =  smallest  to  largest  size. 


10 


Table  8. — Mean  values  for  3. 2-inch-diameter  plots  and  point  frames,  and  nearest 
plot  means,  sizes,  and  shapes  for  basal  area  and  soil  surface  items 


Species  or  soil  item 

locations 

3  •  2—  inch 
plot 

jr  o  mt 
frame 

Nearest 
Mean 

plot  values 
Size  and 
shape1 

Bare  soil2 

6 

1.81 

1.56 

1.65 

1R 

Bare  soil 

5 

3.06 

2.80 

2.99 

1R 

Bare  soil 

5 

2.83 

2.34 

2.46 

1R 

Erosion  pavement 

6 

.698 

.442 

.508 

1R 

Erosion  pavement 

5 

.829 

.760 

.788 

4R 

Rock 

3 

.127 

.150 

.148 

2C 

Rock 

5 

.422 

.448 

.446 

4R 

Litter 

7 

7.02 

7.41 

7.47 

1R 

Litter 

5 

4.56  * 

5.59 

5.28 

1C 

Litter 

5 

5.51  * 

6.05 

6.05 

1C 

Moss  and  lichens 

5 

.866 

1.18 

1.08 

1R 

kQ06tnJj>  gtauca 

2 

.102 

.020 

.025 

1C ,  2C 

Ant&nncvuxi  ko^qjx 

2 

.572 

.125 

.367 

1R 

Agtiopynon  &p<icatwm 

3 

.095 

.077 

.078 

1C 

Bout&lotMi  gfiacjJLLb 

3 

.162 

.067 

.082 

1C 

FeAtuca  -Ldahoe.n6<u> 

3 

.372 

.337 

.335 

3R 

KoztwLa.  cJu^tatR 

2 

.065 

.040 

.040 

3R 

Poa  iexLunda. 

2 

.080 

.120 

.110 

2C 

CaAtx  spp. 

2 

.375 

.020 

.152 

All  too  high 

*  -  Significantly  different  from  points. 


-  R  =  rectangle,  C  =  circle,  1  to  4  =  smallest  to  largest  size. 

-  Some  items  separated  because  of  storage  limitations  in  computer. 


11 


Efficiency 

The  final  step  consisted  of  comparing  the 
efficiencies  of  the  various  microplots.  Sur- 
prisingly, the  average  time  required  to  read  the 
four  sizes  of  plots  was  about  the  same,  although 
there  was  considerable  variation  among  in- 
dividual plots  because  of  differences  in  plant  size 
and  form,  community  structure,  and  observers. 
The  mean  times  in  minutes  required  for  es- 
timating the  individual  plots  by  all  the  observers 
at  all  17  locations  were: 

Mean  times 


Size  Rectangle  Circle 

1  0.62  0.65 

2  .67  .62 

3  .71  .67 

4  .80  .75 
Mean  .70  .67 


Time  increased  gradually  from  the  smallest  to 
the  largest  plots,  but  the  differences  are  not 
significant.  The  largest  plots  (2 -by  4-inch  rec- 
tangle and  3.2-inch  diameter)  do,  however,  take 
enough  more  time  to  be  excluded  from  considera- 
tion on  a  practical  basis.  Plot  variances  were  all 
of  about  the  same  magnitude.  The  microplots 
were  about  five  times  as  efficient,  timewise,  as 
the  point  frame. 


Conclusions 

The  rated  microplots  used  in  this  study  are 
precise,  efficient,  and  accurate,  particularly  for 
basal  area  and  ground  surface  items.  The 
different  analyses  did  not  identify  any  one  best 
microplot  or  microplots  for  rating  cover  (objec- 
tive 1),  although  the  smaller,  circular  plots  were 
usually  nearer  to  the  point-frame  readings  in 
absolute  values  (objective  3).  Rated  microplots 
are  much  more  efficient  than  the  point  method 
from  the  standpoint  of  time  involved  in  es- 
timating cover,  however.  Moreover,  the 
microplots  are  all  about  the  same  in  efficiency 
(objective  2). 


In  general,  the  1/2-  by  1-inch  rectangle  is  a 
good  compromise  in  overall  performance, 
although  it  has  no  great  advantage  over  the  0.8- 
jnch-diameter  circle.  Most  of  the  people  involved 
in  the  study  preferred  a  rectangular  plot  over  a 
circular  one  for  rating,  however,  which  tips  the 
scales  somewhat  in  favor  of  the  rectangular  plot. 
It  is  interesting  to  note  that  the  0.8-inch-diameter 
plot  used  in  this  study  is  very  near  in  size  to  the 
3/4-inch  loop  presently  used  in  the  3-Step 
Method. 

Rated  plots  will  give  a  precise  estimate  of 
plant  cover,  a  population  parameter  that  can  be 
defined  specifically,  whereas  frequency  depends 
upon  several  attributes  in  a  plant  community. 
Hence,  frequency  estimates  are  often  difficult  to 
interpret.  Thus  rated  plots  could  be  of  benefit 
insofar  as  the  existing  loop  method  is  concerned. 


Literature  Cited 

Cochran,  W.  G. 

1951.  Testing  a  linear  relation  among 
variances.  Biometrics  7(1):  17-32. 

Cook,  C.  Wayne,  and  Thadis  W.  Box. 

1961.  A  comparison  of  the  loop  and  point 
methods  of  analyzing  vegetation.  J. 
Range  Manage.  14:  22-27. 

Goodall,  D.  W. 

1952.  Some  considerations  in  the  use  of  point 
quadrats  for  the  analysis  of  vegetation. 
Aust.  J.  Sci.  Res.  Ser.  B  5  (1):  1-41. 

Hutchings,  Selar  S.,  and  Ralph  C.  Holmgren. 
1959.  Interpretation  of  loop-frequency  data  as  a 
measure  of  plant  cover.  Ecology  40:  668- 
677. 

Parker,  Kenneth  W. 
1951.  A  method  for  measuring  trend  in  range 
condition  on  National  Forest  ranges.  26  p. 
U.S.  Dep.  Agric,  For.  Serv.,  Wash.,  D.C. 
Satterthwaite,  F.  E. 
1946.  An  approximate  distribution  of  estimates 
of  variance  components.  Biom.  Bull.  2: 
110-114. 

Winkworth,  R.  E.,  R.  A.  Perry,  and  C.  O.  Rossetti. 

1962.  A  comparison  of  methods  of  estimating 
plant  cover  in  an  arid  grassland 
community.  J.  Range  Manage.  15:  194- 
196. 


Agriculture-CSU,  Ft.  Collins 


12