Journal of Applied Probability

A reconsideration of Lotka's extinction probability using a bisexual branching process

David M. Hull
Source: J. Appl. Probab. Volume 38, Number 3 (2001), 776-780.

Abstract

It is generally recognized that Alfred Lotka made the first application of standard Galton-Watson branching process theory to calculate an extinction probability in a specific population (using asexual reproduction). This note applies bisexual Galton-Watson branching process theory to the calculation of an extinction probability from Lotka's data, yielding a somewhat higher value.

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Primary Subjects: 60J80
Secondary Subjects: 92D25
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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.jap/1005091041
Digital Object Identifier: doi:10.1239/jap/1005091041
Mathematical Reviews number (MathSciNet): MR1860215
Zentralblatt MATH identifier: 0990.60087


2012 © Applied Probability Trust

Journal of Applied Probability

Journal of Applied Probability