Population Genetics of Polymorphism and Divergence Stanley A
Population Genetics of Polymorphism and Divergence Stanley A. Sawyer∗, † and Daniel L. Hartl† ∗Department of Mathematics, Washington University, St. Louis, Missouri 63130, †Department of Genetics, Washington University School of Medicine, St. Louis, Missouri 63110 November 3, 1992 ABSTRACT Frequencies of mutant sites are modeled as a Poisson random field in two species that share a sufficiently recent common ancestor. The selective effect of the new alleles can be favorable, neutral, or detrimental. The model is applied to the sample configurations of nucleotides in the alcohol dehydrogenase gene (Adh) in Drosophila simulans and D. yakuba (McDonald and Kreitman 1991, Nature 351: 652–654). Assuming a synonymous mutation rate of 1.5 × 10−8 per site per year and 10 generations per year, we obtain 6 estimates for the effective population size (Ne =6.5 × 10 ), the species divergence time −6 (tdiv =3.74 Myr), and an average selection coefficient (σ =1.53 × 10 per generation for advantageous or mildly detrimental replacements), although it is conceivable that only two of the amino acid replacements were selected and the rest neutral. The analysis, which includes a sampling theory for the independent infinite sites model with selection, also suggests the estimate that the number of amino acids in the enzyme that are susceptible to favorable mutation is in the range 2–23 out of 257 total possible codon positions at any one time. The approach provides a theoretical basis for the use of a 2 × 2 contingency table to compare fixed differences and polymorphic sites with silent sites and amino acid replacements. t has been more than 25 years since Lewontin have been more at odds, and a great controversy en- I and Hubby (1966) first demonstrated high levels sued.
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