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Diffusion approximations of the two-locus Wright-Fisher model.

S N Ethier·T Nagylaki
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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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Genetic LinkageMathematicsModels, GeneticJournal ArticleResearch Support, U.S. Gov't, Non-P.H.S.

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S N Ethier, T Nagylaki. 1989. Diffusion approximations of the two-locus Wright-Fisher model.. https://doi.org/10.1007/bf00276078

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