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2008 The pattern of genetic hitchhiking under recurrent mutation
Joachim Hermisson, Peter Pfaffelhuber
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Electron. J. Probab. 13: 2069-2106 (2008). DOI: 10.1214/EJP.v13-577

Abstract

Genetic hitchhiking describes evolution at a neutral locus that is linked to a selected locus. If a beneficial allele rises to fixation at the selected locus, a characteristic polymorphism pattern (so-called selective sweep) emerges at the neutral locus. The classical model assumes that fixation of the beneficial allele occurs from a single copy of this allele that arises by mutation. However, recent theory (Pennings and Hermisson, 2006a,b) has shown that recurrent beneficial mutation at biologically realistic rates can lead to markedly different polymorphism patterns, so-called soft selective sweeps. We extend an approach that has recently been developed for the classical hitchhiking model (Schweinsberg and Durrett, 2005; Etheridge et al., 2006) to study the recurrent mutation scenario. We show that the genealogy at the neutral locus can be approximated (to leading orders in the selection strength) by a marked Yule process with immigration. Using this formalism, we derive an improved analytical approximation for the expected heterozygosity at the neutral locus at the time of fixation of the beneficial allele.

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Joachim Hermisson. Peter Pfaffelhuber. "The pattern of genetic hitchhiking under recurrent mutation." Electron. J. Probab. 13 2069 - 2106, 2008. https://doi.org/10.1214/EJP.v13-577

Information

Accepted: 26 November 2008; Published: 2008
First available in Project Euclid: 1 June 2016

zbMATH: 1194.92059
MathSciNet: MR2461536
Digital Object Identifier: 10.1214/EJP.v13-577

Subjects:
Primary: 92D15
Secondary: 60J80 , 60J85 , 60K37 , 92D10

Keywords: diffusion approximation , genetic hitchhiking , random background , selective sweep , soft selective sweep , Yule process

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