Regents
Biology Per
_____ Date_______
Lab
#_____ “Estimating the Size of a Motile Population”

A population
is all the individuals of a single species that live in a specific area
at the same time. It is important to
know if a certain population is increasing or decreasing, because changes in
one population can cause changes in other populations. Ecologists
may use this information about population changes to determine if a species is
endangered, to set hunting limits, to monitor invasive species, or to evaluate
the health of an ecosystem.
Measuring the size of a population can be difficult,
especially if it is motile (able to
move from place to place) since many individuals can avoid being captured. Wildlife biologists developed the capture-recapture method (CRM) to
determine the size of motile animal populations. This method has been
successfully used for decades to accurately determine many animal populations
including monarch butterflies, gypsy moths, rabbits, deer, and polar bears
(just to name a few!). Epidemiologists (scientists who study how and why diseases occur in populations) also use this method to
track various diseases, including HIV and multiple sclerosis (MS), in human
populations.
The capture-recapture method involves two visits to
the study area. On the first visit,
scientists capture and mark as many members of a population as possible in a
specific area over a certain amount of time.
Depending on the species, organisms can be marked using tags, bands,
hair dye, ear notches, or paint. The
organisms are then released back into their environment. Some time later, the same area is visited a
second time and organisms (both marked and unmarked) are captured again in the
same manner. The population is
calculated based on the following idea:
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The % of marked organisms recaptured on the second visit should be the same as the % of the total population marked on the first visit.
Scientists
must make three assumptions
when using this method:
1)
An organism that has been captured, marked, and released will behave
normally. It will
be neither more nor less likely to be
recaptured because it is marked.
2)
All organisms will have sufficient time between the first and the second
capture period
to allow them to randomly mix
within a broad area.
3)
There are no organisms entering or leaving the area (it is a closed
population).
Although
population sizes can often be estimated fairly accurately using this method, in
most cases the actual (true) population size can never be determined because it
is usually impossible to capture all individuals of a motile population.
Purpose
To
estimate the size of a grasshopper population using the capture-recapture method.
Materials
nail
polish storage container (Ziploc
bag) calculator pen or pencil
Procedure
1.
Your class will be assigned to a defined area in which to capture
grasshoppers.
Each group of 4 will record the number of
grasshoppers captured, marked,
and recaptured by the group. This data will be compiled as class data.
2.
Define Roles:
Recorder: _________________
Collectors: _________________,
_________________,_________________
3.
When your teacher tells you to start, capture as many grasshoppers as possible
(not crickets!). Place the hoppers in the Ziploc bag. The recorder should tally the
number of hoppers collected in the space
below. (Note: you may be asked to
record
your data on a separate green sheet and transfer them to this
handout later)
Table 1 – Day 1 Tally (group)
|
|
marked grasshoppers (P) |
Tally |
|
Total |
|
4.
After 10 minutes, your teacher will tell you to stop. At this time, carefully remove
each grasshopper from the bag (one at a
time) and place a small spot of nail polish
on its back (thorax). Be
careful not to hurt the grasshoppers.
Release each
hopper after it has been marked.
Caution: Stand back while
releasing marked hoppers so you don’t get wet
polish on your clothes!
5.
The next day, return to the same location.
When your teacher tells you to start,
collect as many marked and unmarked
grasshoppers as possible, placing them in
the Ziploc bag as you catch them. The recorder should tally both marked and
unmarked grasshoppers in Table 2 below (or on the green sheet).
Table 2 – Day 2 Tally (group)
|
|
Marked grasshoppers recaptured (M) |
Unmarked grasshoppers captured |
Total grasshoppers collected (X) |
|
Tally |
|
|
You
do not need to tally, just add up total and write below |
|
Total |
|
|
|
6. After 10 minutes, your teacher will tell you
to stop collecting.
7.
The recorder will determine the following three totals:
P = the number of grasshoppers
captured and marked on Day 1
M = the number of marked grasshoppers captured Day 2
X = the total number of grasshoppers (marked
and unmarked) captured Day 2
8.
All group members should copy the recorder’s field data onto their own handouts
(Tables 1 and 2).
9.
Record your group data (values for P, M, and X) in Table 3 below.
|
P (# hoppers captured &
marked Day 1) |
M (# marked hoppers
recaptured Day 2) |
X (total # hoppers captured
Day 2) |
|||
|
Group
Data |
Class
Data |
Group
Data |
Class
Data |
Group
Data |
Class
Data |
|
|
|
|
|
|
|
10.
The recorders will report the group data to the class, and class data will be
determined. Write the class data in Table 3 above.
11.
Using the formula below, calculate the total grasshopper population in the
study area (solve for N). Do the
calculation twice: once for your group data and once for the class data. Record your calculations and answers in Table 4 below (be sure to show all
work).

_P_ = _M_
Table 4 –
Calculation of Population Size (N)
|
Population
size (N) based on group data: |
Population
size (N) based on class data: |
|
N = (P)(X) = (_____)(_____)
=
M ( )
|
N = (P)(X) = (_____)(_____)
=
M ( )
|
Discussion and Conclusion (please answer the
following questions in the spaces provided)
1. What is a population?
___________________________________________________
_____________________________________________________________________
2.
Why is it important to know if a population is increasing or decreasing?
_____________________________________________________________________
3.
How do ecologists use information about population changes?
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
4.
Why is it more difficult to measure the size of a motile population?
_____________________________________________________________________
5.
a) What do epidemiologists do?
___________________________________________________________________
b) Why do epidemiologists use this method?
___________________________________________________________________
6. What three assumptions must be made when
using the capture-recapture method
(CRM) to determine the size of a motile
population?
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
7. a) How did the value of N based on your
group data compare with the value of N based
on class data (ex. pretty close, very
different, higher, lower)?
__________________________________________________________________
b) Which data (group or class) probably
gives a more accurate estimate for N?______
Why? ___________________________________________________
8.
What are some factors that would make the marked grasshoppers more
likely to be
captured than the unmarked grasshoppers?
_____________________________________________________________________
_____________________________________________________________________
9.
What are some factors that would make the marked grasshoppers less
likely to be
captured than the unmarked grasshoppers?
_____________________________________________________________________
_____________________________________________________________________
10.
Why can the actual (true) population size never be determined in most cases?
____________________________________________________________________
Class Results
|
Group # |
P |
M |
X |
|
1 |
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2 |
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3 |
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4 |
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5 |
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6 |
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7 |
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Class Total |
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