
Группа ученых поставила цель определить численность популяции зебр на определенной территории. В
первый день ученые отловили и сфотографировали 110 животных. Спустя 48 часов было вновь отловлено и сфотографировано 110 зебр. Из них 50 оказалось сфотографировано ранее. Определить численность популяции зебр, учитывая, что за время проведения эксперимента численный состав популяции не изменился.

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Determining the Population Size of Zebras
To determine the population size of zebras on a specific territory, a group of scientists conducted an experiment. On the first day, they captured and photographed 110 zebras. After 48 hours, they captured and photographed another 110 zebras, of which 50 had already been photographed before. The goal is to determine the population size of zebras, taking into account that the population composition did not change during the experiment.
To calculate the population size, we can use the Lincoln-Petersen Index, also known as the mark and recapture method. This method assumes that the ratio of marked (previously photographed) to unmarked (newly photographed) individuals in the second capture is representative of the entire population.
Calculation using the Lincoln-Petersen Index
The Lincoln-Petersen Index formula is as follows:
N = (M * C) / R
Where: - N is the estimated population size - M is the number of individuals marked in the first capture - C is the total number of individuals captured in the second capture - R is the number of recaptured individuals (marked individuals in the second capture)
In this case, we have: - M = 110 (number of zebras marked in the first capture) - C = 110 (total number of zebras captured in the second capture) - R = 50 (number of zebras recaptured)
Plugging in the values, we can calculate the estimated population size:
N = (110 * 110) / 50 = 242
Therefore, the estimated population size of zebras on the specific territory is 242.
Please note that this calculation assumes that the marked individuals have had enough time to mix back into the population and that the population composition did not change during the experiment.


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