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A perturbation method for the structured coalescent with strong migration

Part of:Special processes

Published online by Cambridge University Press:  14 July 2016

Morihiro Notohara
Morihiro Notohara*
Affiliation:
Kyushu University
*
∗ Postal address: Department of Biology, Faculty of Science, Kyushu University, 33, Fukuoka 812, Japan. Email address: notomash@fc4.so-net.ne.jp
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Abstract

By applying a perturbation method to the structured coalescent process in population genetics theory, we obtain the approximate solutions of the moment generating functions for the total coalescence time, the number of segregating sites among sampled DNA sequences and the number of allele types in a sample in the case of strong migration.

Keywords

Structured coalescentmigrationperturbation

MSC classification

Primary:92D10: Genetics
Secondary:60K35: Interacting random processes; statistical mechanics type models; percolation theory

Information

Type
Research Papers
Information
Journal of Applied Probability , Volume 37 , Issue 1 , March 2000, pp. 148 - 167
Copyright
Copyright © 2000 by The Applied Probability Trust 

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