An approximate sampling formula under genetic hitchhiking

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dc.creatorEtheridge, Alison
dc.creatorPfaffelhuber, Peter
dc.creatorWakolbinger, Anton
dc.date2005-03-23
dc.date2006-07-05
dc.date.accessioned2026-07-07T06:39:38Z
dc.date.available2026-07-07T06:39:38Z
dc.descriptionFor a genetic locus carrying a strongly beneficial allele which has just fixed in a large population, we study the ancestry at a linked neutral locus. During this ``selective sweep'' the linkage between the two loci is broken up by recombination and the ancestry at the neutral locus is modeled by a structured coalescent in a random background. For large selection coefficients $α$ and under an appropriate scaling of the recombination rate, we derive a sampling formula with an order of accuracy of $\mathcal{O}((\log α)^{-2})$ in probability. In particular we see that, with this order of accuracy, in a sample of fixed size there are at most two nonsingleton families of individuals which are identical by descent at the neutral locus from the beginning of the sweep. This refines a formula going back to the work of Maynard Smith and Haigh, and complements recent work of Schweinsberg and Durrett on selective sweeps in the Moran model.
dc.descriptionPublished at http://dx.doi.org/10.1214/105051606000000114 in the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)
dc.identifierhttps://arxiv.org/abs/math/0503485
dc.identifierhttp://arxiv.org/abs/math/0503485
dc.identifierAnnals of Applied Probability 2006, Vol. 16, No. 2, 685-729
dc.identifierdoi:10.1214/105051606000000114
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101152
dc.subjectProbability
dc.subjectPopulations and Evolution
dc.subject92D15 (Primary) 60J80, 60J85, 60K37, 92D10 (Secondary)
dc.titleAn approximate sampling formula under genetic hitchhiking
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