An approximate sampling formula under genetic hitchhiking

• 成果类型: Article
• 署名作者: Etheridge, Alison; Pfaffelhuber, Peter; Wakolbinger, Anton
• 署名单位: University of Oxford; University of Munich; Goethe University Frankfurt
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• DOI: 10.1214/105051606000000114
• 发表日期: 2006
• 页码: 685-729
• 关键词: coalescence

摘要

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 et and under an appropriate scaling of the recombination rate. we derive a sampling formula with an order of accuracy of O((log alpha)(-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.