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The ages of alleles and a coalescent

Published online by Cambridge University Press:  01 July 2016

Peter Donnelly  and
Simon Tavaré
Peter Donnelly*
Affiliation:
University College of Swansea
Simon Tavaré*
Affiliation:
University of Utah
*
∗Present address: Department of Statistical Science, University College London, London WC1E 6BT, UK.
∗∗Postal address: Department of Mathematics, University of Utah, Salt Lake City, UT 84112, USA.
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Abstract

A new coalescent is introduced to study the genealogy of a sample from the infinite-alleles model of population genetics. This coalescent also records the age ordering of alleles in the sample. The distribution of this process is found explicitly for the Moran model, and is shown to be robust for a wide class of reproductive schemes.

Properties of the ages themselves and the relationship between ages and class sizes then follow readily.

Keywords

GENEALOGYINFINITE-ALLELES MODELEWENS SAMPLING FORMULA
Type
Research Article
Information
Advances in Applied Probability , Volume 18 , Issue 1 , March 1986 , pp. 1 - 19
Copyright
Copyright © Applied Probability Trust 1986 

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