A countable representation of the Fleming-Viot measure-valued diffusion

Journal article

The Fleming-Viot measure-valued diffusion arises as the infinite population limit of various discrete genetic models with general type space. The paper gives a countable construction of the process as the empirical measure carried by a certain interactive particle system. This explicit representation facilitates the study of various properties of the Fleming-Viot process. The construction also carries versions of the familiar genealogical processes from population genetics, in particular, Kingman's coalescent, thus unifying the genealogical and measure-valued approaches to the subject.

Authors: Donnelly, P; Kurtz, T

• Publication status: Published
• Journal: ANNALS OF PROBABILITY
• Volume: 24
• Issue: 2
• Pages: 698-742
• Publication date: 1996-04-01
• ISSN: 0091-1798
• Keywords: sample-path properties; coupling; the coalescent; measure-valued diffusion; ergodicity; genealogical processes; exchangeability; Fleming-Viot process