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Selective sweep and the size of the hitchhiking set

Part of: Markov processes Special processes

Published online by Cambridge University Press:  01 July 2016

Stephanie Leocard
Stephanie Leocard*
Affiliation:
Université de Provence
*
∗ Postal address: CMI, Technopôle Château-Gombert, 39 rue Joliot Curie, 13453 Marseille cedex 13, France. Email address: leocard@cmi.univ-mrs.fr
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Abstract

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Just after the fixation of an advantageous allele in the population (this spread is called a selective sweep), the neutral genes close to the site under selection tend to have the same ancestor as the gene under selection. However, some recombinations may occur during the selective sweep and break the link, which reduces the number of hitchhiking alleles. We consider a large selection coefficient α and extend the results of Etheridge, Pfaffelhuber and Wakolbinger (2006) and the work of Pfaffelhuber and Studeny (2007) about genetic hitchhiking, where the recombination rate scales with α/log α. We first describe the genealogy at an arbitrary number of partially linked neutral loci, with an order of accuracy of in total variation. Then, we use this framework to obtain an approximate distribution for the size of the hitchhiking set at the end of the selective sweep, with the same accuracy.

Keywords

Coalescencerecombinationselective sweephitchhiking allele

MSC classification

Primary: 92D15: Problems related to evolution
Secondary: 60J80: Branching processes (Galton-Watson, birth-and-death, etc.) 60J85: Applications of branching processes 60K37: Processes in random environments 92D10: Genetics
Type
General Applied Probability
Information
Advances in Applied Probability , Volume 41 , Issue 3 , September 2009 , pp. 731 - 764
Copyright
Copyright © Applied Probability Trust 2009 

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