The stepping stone model. II: Genealogies and the infinite sites model
Open Access
- 1 February 2005
- journal article
- Published by Institute of Mathematical Statistics in The Annals of Applied Probability
- Vol. 15 (1B) , 671-699
- https://doi.org/10.1214/105051604000000701
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.Keywords
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