title: Error estimate for the diffusion approximation of the Wright--Fisher model.
abstract: The Wright--Fisher model and its approximating diffusion model are compared in terms of the expected value of a smooth but arbitrary function of nth-generation gene frequency. In the absence of selection, this expectation is shown to differ in the two models by at most a linear combination (with coefficients depending only on the derivatives of the smooth function involved) of the maximum mutation rate and the reciprocal of the population size.
mesh_terms: D005823:Genetics; D005828:Genetics, Population; D008433:Mathematics; D008954:Models, Biological; D009154:Mutation
references.citation: Genetics. 1931 Mar;16(2):97-159
references.pmid: 17246615
references.citation: Proc Natl Acad Sci U S A. 1945 Dec;31(12):382-9
references.pmid: 16588707
references.citation: Biometrics. 1965 Jun;21:386-94
references.pmid: 14338673