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Joint stationary moments of a two-island diffusion model of population subdivision.

Author(s): Kermany AR, Zhou X, Hickey DA

Theor Popul Biol. 2008 Nov;74(3):226-32 Authors: Kermany AR, Zhou X, Hickey DA

Article GUID: 18691608
Title:Joint stationary moments of a two-island diffusion model of population subdivision.
Authors:Kermany AR,  Zhou X,  Hickey DA
Link:https://www.ncbi.nlm.nih.gov/pubmed/18691608?dopt=Abstract
DOI:10.1016/j.tpb.2008.07.004
Category:Theor Popul Biol
PMID:18691608
Dept Affiliation: MATHSTATS
1 Department of Mathematics and Statistics, Concordia University, Montreal, QC H3G 1M8, Canada. arrajike@alcor.concordia.ca

Description:

Joint stationary moments of a two-island diffusion model of population subdivision.

Theor Popul Biol. 2008 Nov;74(3):226-32

Authors: Kermany AR, Zhou X, Hickey DA

Abstract

An expression for joint stationary moments of a diffusion approximation to a generalized Wright-Fisher model, corresponding to two finite populations of equal sizes, with migration and mutation, is derived. This gives a complete description of the stationary distribution of allele frequencies in the balance between migration, mutation and genetic drift. We derive the sampling formula in terms of the joint stationary moments, and we also prove that the diffusion process corresponding to this model of population division is not reversible.

PMID: 18691608 [PubMed - indexed for MEDLINE]