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Fixation in Conditional Branching Process Models in Population Genetics

Part of: Markov processes

Published online by Cambridge University Press:  14 July 2016

Thomas Prince  and
Neville Weber
Thomas Prince*
Affiliation:
University of Sydney
Neville Weber*
Affiliation:
University of Sydney
*
∗Postal address: School of Mathematics and Statistics F07, University of Sydney, NSW 2006, Australia.
∗Postal address: School of Mathematics and Statistics F07, University of Sydney, NSW 2006, Australia.
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Abstract

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An alternative version of the necessary and sufficient condition for almost sure fixation in the conditional branching process model is derived. This formulation provides an insight into why the examples considered in Buckley and Seneta (1983) all have the same condition for fixation.

Keywords

Fixationbranching processWright-Fisher modelbisexual model

MSC classification

Secondary: 92D25: Population dynamics (general) 60J80: Branching processes (Galton-Watson, birth-and-death, etc.)
Type
Short Communications
Information
Journal of Applied Probability , Volume 44 , Issue 4 , December 2007 , pp. 1103 - 1110
Copyright
Copyright © Applied Probability Trust 2007 

References

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