Mathematics – Probability
Scientific paper
2005-03-24
Annals of Applied Probability 2005, Vol. 15, No. 1B, 671-699
Mathematics
Probability
Published at http://dx.doi.org/10.1214/105051604000000701 in the Annals of Applied Probability (http://www.imstat.org/aap/) by
Scientific paper
10.1214/105051604000000701
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.
Cox Theodore J.
Durrett Richard
Zahle Iljana
No associations
LandOfFree
The stepping stone model. II: Genealogies and the infinite sites model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The stepping stone model. II: Genealogies and the infinite sites model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The stepping stone model. II: Genealogies and the infinite sites model will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-586866