The stepping stone model. II: Genealogies and the infinite sites model
| dc.creator | Zahle, Iljana | |
| dc.creator | Cox, J. Theodore | |
| dc.creator | Durrett, Richard | |
| dc.date | 2005-03-24 | |
| dc.date.accessioned | 2026-07-07T05:18:18Z | |
| dc.date.available | 2026-07-07T05:18:18Z | |
| dc.description | 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. | |
| dc.description | Published at http://dx.doi.org/10.1214/105051604000000701 in the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org) | |
| dc.identifier | https://arxiv.org/abs/math/0503512 | |
| dc.identifier | http://arxiv.org/abs/math/0503512 | |
| dc.identifier | Annals of Applied Probability 2005, Vol. 15, No. 1B, 671-699 | |
| dc.identifier | doi:10.1214/105051604000000701 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74613 | |
| dc.subject | Probability | |
| dc.subject | 60K35, 92D10. (Primary) | |
| dc.title | The stepping stone model. II: Genealogies and the infinite sites model | |
| dc.type | text |