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Coalescence in a random background

2004
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The Annals of Applied Probability
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We consider a single genetic locus which carries two alleles, labelled P and Q. This locus experiences selection and mutation. It is linked to a second neutral locus with recombination rate r. If r=0, this reduces to the study of a single selected locus. Assuming a Moran model for the population dynamics, we pass to a diffusion approximation and, assuming that the allele frequencies at the selected locus have reached stationarity, establish the joint generating function for the genealogy of a

doi:10.1214/105051604000000099
fatcat:7tamdnz6nvbndmna7nxeh36nf4