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. 1991 Mar;127(3):627–629. doi: 10.1093/genetics/127.3.627

F(st) in a Hierarchical Island Model

M Slatkin 1, L Voelm 1
PMCID: PMC1204389  PMID: 2016058

Abstract

It is shown that in a hierarchical island model, in which demes within a neighborhood exchange migrants at a much higher rate than do demes in different neighborhoods, hierarchical F statistics introduced by S. Wright can indicate the extent of gene flow within and between neighborhoods. At equilibrium, the within-neighborhood inbreeding coefficient, F(SN), is approximately 1/(1 + 4Nm(1)) where N is the deme size and m(1) is the migration rate among demes in the same neighborhood. The between-neighborhood inbreeding coefficient, F(NT), is approximately 1/(1 + 4Ndm(2)) where d is the number of demes in a neighborhood and m(2) is the migration rate among demes in different neighborhoods.

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Selected References

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