2005/03/31 by Alison Etheridge, Peter Pfaffelhuber, Anton Wakolbinger · 3 citations
Biochemistry, Genetics and Molecular Biology · Mathematics · #Genetic Associations and Epidemiology #Markov Chains and Monte Carlo Methods #Stochastic processes and statistical mechanics #math.PR #msc:60J80 #msc:60J85 #msc:60K37 #msc:92D10 #msc:92D15 #q-bio.PE
paper · pdf · doi:10.1214/105051606000000114
published as Annals of Applied Probability 2006, Vol. 16, No. 2, 685-729 · Published 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)
openalex publication_date 2006/05/01 · arxiv created 2006/07/05 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
For 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 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.