Error estimate for the diffusion approximation of the Wright--Fisher model.
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.
D005823:Genetics; D005828:Genetics, Population; D008433:Mathematics; D008954:Models, Biological; D009154:Mutation
Genetics. 1931 Mar;16(2):97-159
17246615
Proc Natl Acad Sci U S A. 1945 Dec;31(12):382-9
16588707
Biometrics. 1965 Jun;21:386-94
14338673