How Fast Does Extinction Occur in Bisexual Populations With Size-Dependent Mating Dynamics?

Ehyter M. Martín-González (), Carlos Galván-Galván () and Eduardo Calvo-Martínez ()
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Ehyter M. Martín-González: División de Ciencias Naturales y Exactas
Carlos Galván-Galván: División de Ciencias Naturales y Exactas
Eduardo Calvo-Martínez: División de Ciencias Naturales y Exactas

Methodology and Computing in Applied Probability, 2025, vol. 27, issue 4, 1-25

Abstract: Abstract Given that extinction in a bisexual population is certain, we study a way to approximate the time when this extinction occurs. Our study is based on standard tools from Extreme Value Theory, which in practice are very easy to implement. We present the theoretical results derived from our study and provide a few numerical examples of such results.

Keywords: Bisexual Galton-Watson Branching Process; Time To Extinction; Extreme Value Theory; Peaks Over Threshold; Gumbel Domain of Attraction; Branching Processes; 62P10; 62E20; 92D40; 92D50 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s11009-025-10203-4

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