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Coalescent results for two-sex population models

Part of: Limit theorems

Published online by Cambridge University Press:  01 July 2016

M. Möhle
M. Möhle*
Affiliation:
University of Oxford and Johannes Gutenberg-Universität Mainz
*
∗ Postal address: (1) University of Oxford, Department of Statistics, 1 South Parks Road, Oxford OX1 3TG, UK, (2) Johannes Gutenberg-Universität Mainz, Fachbereich Mathematik, Saarstraße 21, 55099 Mainz, Germany. Email address: (1) [email protected], (2) [email protected]
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Abstract

‘Convergence-to-the-coalescent’ theorems for two-sex neutral population models are presented. For the two-sex Wright-Fisher model the ancestry of n sampled genes behaves like the usual n-coalescent, if the population size N is large and if the time is measured in units of 4N generations. Generalisations to a larger class of two-sex models are discussed.

Keywords

Coalescenttwo-sex population modelsgenealogical processpopulation geneticsrobustnesstwo-sex Wright-Fisher model

MSC classification

Primary: 60F05: Central limit and other weak theorems 92D10: Genetics
Secondary: 92D25: Population dynamics (general)
Type
General Applied Probability
Information
Advances in Applied Probability , Volume 30 , Issue 2 , June 1998 , pp. 513 - 520
Copyright
Copyright © Applied Probability Trust 1998 

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References

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