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Diffusion Approximations of the Two-locus Wright-Fisher Model

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Journal J Math Biol
Date 1989 Jan 1
PMID 2708916
Citations 9
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Abstract

Diffusion approximations are established for the multiallelic, two-locus Wright-Fisher model for mutation, selection, and random genetic drift in a finite, panmictic, monoecious, diploid population. All four combinations of weak or strong selection and tight or loose linkage are treated, though the proof in the case of strong selection and loose linkage is incomplete. Under certain conditions, explicit formulas are obtained for the stationary distributions of the two diffusions with loose linkage.

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References
1.
Hill W, Robertson A . The effect of linkage on limits to artificial selection. Genet Res. 1966; 8(3):269-94. View

2.
Li W . Rate of gene silencing at duplicate loci: a theoretical study and interpretation of data from tetraploid fishes. Genetics. 1980; 95(1):237-58. PMC: 1214219. DOI: 10.1093/genetics/95.1.237. View

3.
Takahata N, Maruyama T . Polymorphism and loss of duplicate gene expression: a theoretical study with application of tetraploid fish. Proc Natl Acad Sci U S A. 1979; 76(9):4521-5. PMC: 411609. DOI: 10.1073/pnas.76.9.4521. View

4.
Li W . Maintenance of genetic variability under mutation and selection pressures in a finite population. Proc Natl Acad Sci U S A. 1977; 74(6):2509-13. PMC: 432202. DOI: 10.1073/pnas.74.6.2509. View

5.
Kimura M . Stochastic processes and distribution of gene frequencies under natural selection. Cold Spring Harb Symp Quant Biol. 1955; 20:33-53. DOI: 10.1101/sqb.1955.020.01.006. View