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November 1999 Genealogical processes for Fleming-Viot models with selection and recombination
Peter Donnelly, Thomas G. Kurtz
Ann. Appl. Probab. 9(4): 1091-1148 (November 1999). DOI: 10.1214/aoap/1029962866


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.


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Peter Donnelly. Thomas G. Kurtz. "Genealogical processes for Fleming-Viot models with selection and recombination." Ann. Appl. Probab. 9 (4) 1091 - 1148, November 1999.


Published: November 1999
First available in Project Euclid: 21 August 2002

zbMATH: 0964.60075
MathSciNet: MR1728556
Digital Object Identifier: 10.1214/aoap/1029962866

Primary: 60J25 , 92D10
Secondary: 60J70 , 60K35

Keywords: Coalescent , exchangeability , Fleming-Viot process , genealogical processes , Genetic models , measure-valued diffusion , particle representation , recombination , selection

Rights: Copyright © 1999 Institute of Mathematical Statistics


Vol.9 • No. 4 • November 1999
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