Document Type

Article

Date

2005

Embargo Period

10-2011

Keywords

Stepping stone model, Kingman's coalescent, Mutation patterns, Infinite sites model, Genetics, Geonomics

Language

English

Disciplines

Genetics and Genomics | Mathematics

Description/Abstract

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.

Creative Commons License


This work is licensed under a Creative Commons Attribution 3.0 License.

 
 

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