Upper Estimates of the Mean Extinction Time of a Population with a Constant Carrying Capacity

Sergey Klokov

Mathematical Population Studies, 2009, vol. 16, issue 3, 221-230

Abstract: In a population of individuals with an identical type and nonoverlapping generations, the number of offspring has a Poisson distribution depending on the carrying capacity K and the total population size. Upper estimates of the mean extinction time Eτ are established and essentially have the form Eτ ≤CecK with some constants C > 0 and c ≈ 0.707.

Keywords: carrying capacity; extinction; Poisson distribution (search for similar items in EconPapers)
Date: 2009
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DOI: 10.1080/08898480903035071

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