Fixation in Conditional Branching Process Models in Population Genetics

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 2007 English Publisher:Cambridge University Press (CUP)Journal:Journal of Applied Probability, volume 44, pages 1,103-1,110 (issn: 0021-9002, eissn: 1475-6072,

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Authors: Prince, Thomas; Weber, Neville;

doi: 10.1239/jap/1197908828 , 10.1017/s0021900200003776

Fixation in Conditional Branching Process Models in Population Genetics

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Abstract

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.

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University of Sydney
Australia

Keywords

Wright-Fisher model, Applications of branching processes, bisexual model, Genetics and epigenetics

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