Author
Etheridge, A
Veber, A
Journal title
Annals of Applied Probability
DOI
10.1214/12-AAP842
Issue
6
Volume
22
Last updated
2023-12-19T08:01:09.143+00:00
Page
2165-2209
Abstract
We extend the spatial Lambda-Fleming-Viot process introduced in [BEV10] to incorporate recombination. The process models allele frequencies in a population which is distributed over the two-dimensional torus T(L) of sidelength L and is subject to two kinds of reproduction events :small events of radius O(1) and much rarer large events of radius O(L^{alpha}) for some alpha in (0,1]. We investigate the correlation between the times to the most recent common ancestor of alleles at two linked loci for a sample of size two from the population. These individuals are initially sampled from `far apart' on the torus. As L tends to infinity, depending on the frequency of the large events, the recombination rate and the initial distance between the two individuals sampled, we obtain either a complete decorrelation of the coalescence times at the two loci, or a sharp transition between a first period of complete correlation and a subsequent period during which the remaining times needed to reach the most recent common ancestor at each locus are independent. We use our computations to derive approximate probabilities of identity by descent as a function of the separation at which the two individuals are sampled.
Symplectic ID
314518
Favourite
On
Publication type
Journal Article
Publication date
Dec 2012
Please contact us with feedback and comments about this page. Created on 05 Mar 2012 - 13:08.