Genealogical processes for Fleming-Viot models with selection and recombination

Citation
Donnelly, Peter et G. Kurtz, Thomas, Genealogical processes for Fleming-Viot models with selection and recombination, Annals of applied probability , 9(4), 1999, pp. 1091-1148
ISSN journal
10505164
Volume
9
Issue
4
Year of publication
1999
Pages
1091 - 1148
Database
ACNP
SICI code
Abstract
Infinite population genetic models with general type space incorporating mutation, selection and recombination are considered. The Fleming-Viot measure-valued diffusion is represented in terms of a countably infinite-dimensional process. The complete genealogy of the population at each time can be recovered from the model. Results are given concerning the existence of stationary distributions and ergodicity and absolute continuity of the stationary distribution for a model with selection with respect to the stationary distribution for the corresponding neutral model.