Genealogical processes for Fleming-Viot models with selection and recombination

• 成果类型: Article
• 署名作者: Donnelly, P; Kurtz, TG
• 署名单位: University of Oxford; University of Wisconsin System; University of Wisconsin Madison
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• 发表日期: 1999
• 页码: 1091-1148
• 关键词: population-genetics; REPRESENTATION

摘要

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 vith selection with respect to the stationary distribution for the corresponding neutral model.