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.
Original language | English (US) |
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Pages (from-to) | 671-699 |
Number of pages | 29 |
Journal | Annals of Applied Probability |
Volume | 15 |
Issue number | 1 B |
DOIs | |
State | Published - Feb 2005 |
Keywords
- Genealogy
- Haplotype structure
- Linkage disequilibrium
- Recombination
- Stepping stone model
- Voter model
ASJC Scopus subject areas
- Statistics and Probability
- Statistics, Probability and Uncertainty