Genealogical processes for Fleming-Viot models with selection and recombination

Citation
P. Donnelly et Tg. Kurtz, Genealogical processes for Fleming-Viot models with selection and recombination, ANN APPL PR, 9(4), 1999, pp. 1091-1148
Citations number
16
Categorie Soggetti
Mathematics
Journal title
ANNALS OF APPLIED PROBABILITY
ISSN journal
10505164 → ACNP
Volume
9
Issue
4
Year of publication
1999
Pages
1091 - 1148
Database
ISI
SICI code
1050-5164(199911)9:4<1091:GPFFMW>2.0.ZU;2-H
Abstract
Infinite population genetic models with general type space incorporating mu tation, selection and recombination are considered. The Fleming-Viot measur e-valued diffusion is represented in terms of a countably infinite-dimensio nal process. The complete genealogy of the population at each time can be r ecovered from the model. Results are given concerning the existence of stat ionary distributions and ergodicity and absolute continuity of the stationa ry distribution for a model vith selection with respect to the stationary d istribution for the corresponding neutral model.