The stepping stone model. II: Genealogies and the infinite sites model

• 成果类型: Article
• 署名作者: Zähle, I; Cox, JT; Durrett, R
• 署名单位: University of Erlangen Nuremberg; Syracuse University; Cornell University
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• DOI: 10.1214/105051604000000701
• 发表日期: 2005
• 页码: 671-699
• 关键词: linkage disequilibrium; genome

摘要

This paper extends earlier work by Cox and Durrett, who studied the coalescence times for two lineages in the stepping stone model on the two-dimensional torus. We show that the genealogy of a sample of size n is given by a time change of Kingman's coalescent. With DNA sequence data in mind, we investigate mutation patterns under the infinite sites model, which assumes that each mutation occurs at a new site. Our results suggest that the spatial structure of the human population contributes to the haplotype structure and a slower than expected decay of genetic correlation with distance revealed by recent studies of the human genome.