Abstract
A number of different migration and isolation models of population subdivision have been studied. In this paper I analyse a general model of two populations derived from a common ancestral population at some time in the past. The two populations may exchange migrants, but they may also be completely isolated from each other. I derive the expectation and variance of the number of differences between two sequences sampled from the two populations. These are then compared to the corresponding results from two other much-used models: equilibrium migration and complete isolation.
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References
Fisher R. A. 1930The genetical theory of natural selection (Oxford: Clarendon Press)
Hudson R. R. 1983 Testing the constant-rate neutral allele model with protein sequence data.Evolution 37: 203–217
Hudson R. R., Kreitman M. and Aguade M. 1987 A test of neutral molecular evolution based on nucleotide data.Genetics 116: 153–159
Kimura M. 1968 Evolutionary rate at the molecular level.Nature 217: 624–626
Kimura M. 1969 The number of heterozygous nucleotide sites maintained in a finite population due to the steady flux of mutations.Genetics 61: 893–903
Kimura M. and Weiss G. H. 1964 The stepping stone model of population structure and the decrease of genetic correlation with distance.Genetics 49: 561–576
Li W.-H. and Nei M. 1977 Persistence of common alleles in two related populations or species.Genetics 86: 901–914
Maruyama T. 1970 Effective number of alleles in a subdivided population.Theoret. Popul. Biol. 1: 273–306
Nei M. and Feldman M. W. 1972 Identity of genes by descent within and between populations under mutation and migration pressure.Theoret. Popul. Biol. 3: 460–465
Slatkin M. 1987 The average number of sites separating DNA sequences drawn from a subdivided population.Theoret. Popul. Biol. 32: 42–49
Slatkin M. and Maddison W. P. 1989 A cladistic measure of gene flow inferred from the phylogenies of alleles.Genetics 123: 603–613
Strobeck C. 1987 Average number of nucleotide differences in a sample from a single subpopulation: a test for population subdivision.Genetics 117: 149–153
Tajima F. 1983 Evolutionary relationship of DNA sequences in finite populations.Genetics 105: 437–460
Tajima F. 1989 DNA polymorphism in a subdivided population: the expected number of segregating sites in the two-population model.Genetics 123: 229–240
Takahata N. 1995 A genetic perspective on the origin and history of humans.Annu. Rev. Ecol. Syst. 26: 343–372
Takahata N. and Nei M. 1985 Gene genealogy and variance of interpopulational nucleotide differences.Genetics 110: 325–344
Takahata N. and Slatkin M. 1990 Genealogy of neutral genes in two partially isolated populations.Theoret. Popul. Biol. 38: 331–350
Wakeley J. 1996a Distinguishing migration from isolation using the variance of pairwise differences.Theoret. Popul Biol. 49: 369–386
Wakeley J. 1996 b The variance of pairwise nucleotide differences in two populations with migration.Theoret. Popul. Biol 49: 39–57
Watterson G. A. 1975 On the number of segregating sites in genetical models without recombination.Theoret. Popul Biol. 7: 256–276
Wright S. 1931 Evolution in Mendelian populations.Genetics 16: 97–159
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Wakeley, J. Pairwise differences under a general model of population subdivision. J. Genet. 75, 81–89 (1996). https://doi.org/10.1007/BF02931753
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DOI: https://doi.org/10.1007/BF02931753