- How big is big enough?:
The objective for this part of the activity is to demonstrate quadrat sampling methods
(i.e., what sample size yields an accurate, representative , field sample while minimizing
work effort?). Before the exercise begins, ask the students to make a graph with the
number of species on the y-axis and the size of each quadrat on the x-axis. After
the beans are spread, the students are allowed to determine exactly how the quadrats must
be deployed in order to obtain an unbiased, random sampling (e.g., with eyes closed, over
the shoulder toss, by taking turns, etc.) Once the quadrat has been tossed out, the
total number of species (not individuals) in the sample is counted and recorded.
Several replications with each quadrat size should be performed. After the number of
species in each quadrat is recorded, have the students take the mean (average) number of
species "captured" and write it on the board. When the sampling for each
quadrat is completed the instructor should plot, on a line graph, the individual averages
from each group for each quadrat size and the overall average for each quadrat size.
As the data are added, the resultant curve will show an increasing number of species
"captured" as the quadrat size increases, but at a certain point the curve will
level off. This clearly indicates that at some quadrat size (usually the second
largest), the number of species does not significantly differ from the next largest size
but results in much less work. It is more efficient to use that quadrat size.
Also, ask how many groups "caught" the peanut. Usually, most will have
caught it even though the probability of catching this single item is very low. This
demonstrates sample bias; was the peanut sampled preferentially because it was rare or
because it was big?
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- How many of them are
there?: The objective for this part of the activity is to
illustrate the principles involved in basic ecological research. Specifically, to
estimate the population density of a target species of elusive or mobile animals using the
"mark-recapture" technique. Pick a target species. Use the quadrat
size that provides the most efficient and reliable estimate. Toss out the quadrat
and count the number of the target species caught. Place them in another quadrat
that will serve as a corral. After a predetermined number of samples, count and mark
all of the corralled items with a marker and release them and allow them to disperse by
spreading them out randomly across the desk. Assuming that (1) the marked
individuals disperse randomly into the wild population, and (2) subsequent trapping is
also random, then any new sample should contain a representative proportion of marked to
unmarked individuals. From this the size of the population may be estimated.
You can have each group invent the mark-recapture formula or you can provide the
formula. To invent the formula, your students need four symbols and the statement
"this is to this as that is to that."
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