Abstract
The results are presented from a simulation study of the spatial distribution of mutant alleles in a subdivided population. Statistical measures of the spatial pattern are defined in such a way that the same quantities could be measured in a geographic survey of allele frequencies in natural populations. Two types of quantities are discussed in this paper: (1) the occupancy distribution provides information on the presence or absence of the mutant in different numbers of demes; and (2) the conditional frequency distribution provides information about the extent of local differentiation when the mutant is present in different numbers of demes. Properties of these distributions are found for different types of natural selection acting on the mutant. Some results are presented for the same statistical measures based on samples of individuals from a fraction of the total number of demes. The simulation results for intermediate levels of the migration rates are compared with analytic results obtained on the limits of high and low migration rates. The main conclusion is that these measures of the spatial distribution of mutants in a subdivided population have simple properties that could provide a new perspective on data from natural populations.
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Selected References
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- Boorman S. A. Island models for takeover by a social trait facing a frequency-dependent selection barrier in a Mendelian population. Proc Natl Acad Sci U S A. 1974 May;71(5):2103–2107. doi: 10.1073/pnas.71.5.2103. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Crump K. S., Gillespie J. H. Geographical distribution of a neutral allele considered as a branching process. Theor Popul Biol. 1977 Aug;12(1):10–20. doi: 10.1016/0040-5809(77)90032-6. [DOI] [PubMed] [Google Scholar]
- Lewontin R. C., Krakauer J. Distribution of gene frequency as a test of the theory of the selective neutrality of polymorphisms. Genetics. 1973 May;74(1):175–195. doi: 10.1093/genetics/74.1.175. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Maruyama T. On the fixation probability of mutant genes in a subdivided population. Genet Res. 1970 Apr;15(2):221–225. doi: 10.1017/s0016672300001543. [DOI] [PubMed] [Google Scholar]
- Nei M., Maruyama T. Letters to the editors: Lewontin-Krakauer test for neutral genes. Genetics. 1975 Jun;80(2):395–395. doi: 10.1093/genetics/80.2.395. [DOI] [PMC free article] [PubMed] [Google Scholar]