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

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 p...

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Bibliographic Details
Published in:Methodology and computing in applied probability Vol. 27; no. 4; p. 75
Main Authors: Martín-González, Ehyter M., Galván-Galván, Carlos, Calvo-Martínez, Eduardo
Format: Journal Article
Language:English
Published: New York Springer US 01.12.2025
Springer Nature B.V
Subjects:
Business and Management
Economics
Electrical Engineering
Extinction
Extreme value theory
Extreme values
Females
Hypotheses
Life Sciences
Males
Mathematics and Statistics
Random variables
Statistics
62P10
Extreme Value Theory
Branching Processes
Peaks Over Threshold
62E20
Gumbel Domain of Attraction
Time To Extinction
92D50
92D40
Bisexual Galton-Watson Branching Process
ISSN:1387-5841, 1573-7713
Online Access:Get full text
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Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1387-5841
1573-7713
DOI:10.1007/s11009-025-10203-4