Diffusion approximations of the two-locus Wright-Fisher model

DOI10.1007/BF00276078zbMath0714.92010OpenAlexW2092649733WikidataQ52544220 ScholiaQ52544220MaRDI QIDQ751537

Thomas Nagylaki, Stewart N. Ethier

Publication date: 1989

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00276078

zbMATH Keywords

linkage disequilibriumstationary distributionsrandom genetic driftmutationstrong selectionDiffusion approximationsfinite, panmictic, monoecious, diploid populationloose linkagemultiallelic, two-locus Wright-Fisher modelrate alleles

Mathematics Subject Classification ID

Genetics and epigenetics (92D10) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

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Probability distribution of haplotype frequencies under the two-locus Wright-Fisher model by diffusion approximation ⋮ The stationary distribution of allele frequencies when selection acts at unlinked loci ⋮ Quantitative approximation of the discrete Moran process by a Wright-Fisher diffusion ⋮ Padé approximants and exact two-locus sampling distributions ⋮ Models for loosely linked gene duplicates suggest lengthy persistence of both copies ⋮ Models and approximations for random genetic drift ⋮ Inference on the strength of balancing selection for epistatically interacting loci ⋮ A dual process for the coupled Wright-Fisher diffusion ⋮ A diffusion model for the fate of tandem gene duplicates in diploids ⋮ Inference on the strength of balancing selection for epistatically interacting loci ⋮ A general solution of the Wright-Fisher model of random genetic drift ⋮ Inference from the stationary distribution of allele frequencies in a family of Wright-Fisher models with two levels of genetic variability ⋮ Local fluctuations of genetic processes defined on two time scales, with applications to effective size estimation ⋮ Exact simulation of coupled Wright–Fisher diffusions

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