Butterfly Butterflies
Posted on Tuesday, March 30th, 2010 at 8:04 am
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Given the following data, what would be the estimated size of a butterfly population in Wilson Park?
A biologist originally marked 40 butterflies in Wilson Park. Over a month long period, butterfly traps caught 200 butterflies. Of those 200, 80 were found to have tags. Based on this information, what is the estimated population size of the butterflies in Wilson park?
Since only 40 butterflies were marked, I must assume that there were multiple captures of both marked and unmarked butterflies, that the butterflies caught in traps were released to be caught again.
There are two mathematical solutions for this, both yielding the same answer.
(1) Each marked butterfly was captured twice (40 marked X2 = 80 captured); then of the unmarked butterflies the 120 captured must relate to 60 actual butterflies. 40 + 60 = 100.
(2) Using ratios: 80/200 = 40/X. In this case X also = 100.
The estimated size of the population in Wilson Park is then 100.
Painted Lady Butterflies Develop, Emerge in Time Lapse
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