THE ISLAND MODEL OF POPULATION DIFFERENTIATION: A GENERAL SOLUTION

1 Division of Animal Genetics, C.S.I.R.O., Sydney, N.S.W. Australia

The island model deals with a species which is subdivided into a number of discrete finite populations, races or subspecies, between which some migration occurs. If the number of populations is small, an assumption of equal rates of migration between each pair of populations may be reasonable approximation. Mutation at a constant rate to novel alleles may also be assumed.—A general solution is given for the process of population divergence under this model following subdivision of a single parental population, expressed in terms of the observed average frequency of heterozygotes within and between subpopulations at a randomly chosen set of independently segregating loci. No restriction is imposed on the magnitude of the migration or mutation rates involved, nor on the number of populations exchanging migrants.—The properties of two fundamental measures of genetic divergence are deduced from the theory. One is a parameter related to phiv, the coefficient of kinship, and the other, gamma, measures the rate of mutational divergence between the sub-populations.

Submitted on December 7, 1971
Revised on August 14, 1972




This article has been cited by other articles:


Home page
Appl. Environ. Microbiol.Home page
S. R. Miller, M. D. Purugganan, and S. E. Curtis
Molecular Population Genetics and Phenotypic Diversification of Two Populations of the Thermophilic Cyanobacterium Mastigocladus laminosus
Appl. Envir. Microbiol., April 1, 2006; 72(4): 2793 - 2800.
[Abstract] [Full Text] [PDF]


Home page
GeneticsHome page
F. A. Matsen and J. Wakeley
Convergence to the Island-Model Coalescent Process in Populations With Restricted Migration
Genetics, January 1, 2006; 172(1): 701 - 708.
[Abstract] [Full Text] [PDF]


Home page
GeneticsHome page
J. Wakeley
The Limits of Theoretical Population Genetics
Genetics, January 1, 2005; 169(1): 1 - 7.
[Full Text] [PDF]


Home page
J HeredHome page
J. Wakeley
Recent Trends in Population Genetics: More Data! More Math! Simple Models?
J. Hered., September 1, 2004; 95(5): 397 - 405.
[Abstract] [Full Text] [PDF]


Home page
GeneticsHome page
J. Hey and R. Nielsen
Multilocus Methods for Estimating Population Sizes, Migration Rates and Divergence Time, With Applications to the Divergence of Drosophila pseudoobscura and D. persimilis
Genetics, June 1, 2004; 167(2): 747 - 760.
[Abstract] [Full Text] [PDF]


Home page
GeneticsHome page
J. Wakeley and S. Lessard
Theory of the Effects of Population Structure and Sampling on Patterns of Linkage Disequilibrium Applied to Genomic Data From Humans
Genetics, July 1, 2003; 164(3): 1043 - 1053.
[Abstract] [Full Text] [PDF]


Home page
GeneticsHome page
J. A. Sved, H. Yu, B. Dominiak, and A. S. Gilchrist
Inferring Modes of Colonization for Pest Species Using Heterozygosity Comparisons and a Shared-Allele Test
Genetics, February 1, 2003; 163(2): 823 - 831.
[Abstract] [Full Text] [PDF]


Home page
GeneticsHome page
J. Wakeley
Polymorphism and Divergence for Island-Model Species
Genetics, January 1, 2003; 163(1): 411 - 420.
[Abstract] [Full Text] [PDF]


Home page
GeneticsHome page
J. Wakeley and N. Aliacar
Gene Genealogies in a Metapopulation
Genetics, October 1, 2001; 159(2): 893 - 905.
[Abstract] [Full Text] [PDF]


Home page
GeneticsHome page
J. Wakeley
Nonequilibrium Migration in Human History
Genetics, December 1, 1999; 153(4): 1863 - 1871.
[Abstract] [Full Text]