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ISOLATION BY DISTANCE IN EQUILIBRIUM AND NON‐EQUILIBRIUM POPULATIONS
Author(s) -
Slatkin Montgomery
Publication year - 1993
Publication title -
evolution
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.84
H-Index - 199
eISSN - 1558-5646
pISSN - 0014-3820
DOI - 10.1111/j.1558-5646.1993.tb01215.x
Subject(s) - isolation by distance , biology , biological dispersal , genetic distance , gene flow , mutation rate , population , allele frequency , mutation , population genetics , evolutionary biology , statistical physics , genetics , allele , genetic variation , gene , physics , demography , sociology
It is shown that for allele frequency data a useful measure of the extent of gene flow between a pair of populations isM ∘ = ( 1 / F ST ‐ 1 ) / 4 , which is the estimated level of gene flow in an island model at equilibrium. For DNA sequence data, the same formula can be used if F ST is replaced by N ST . In a population with restricted dispersal, analytic theory shows that there is a simple relationship between M̂ and geographic distance in both equilibrium and non‐equilibrium populations and that this relationship is approximately independent of mutation rate when the mutation rate is small. Simulation results show that with reasonable sample sizes, isolation by distance can indeed be detected and that, at least in some cases, non‐equilibrium patterns can be distinguished. This approach to analyzing isolation by distance is used for two allozyme data sets, one from gulls and one from pocket gophers.