Change in frequency of a rare mutant allele: a general formula and applications to partial inbreeding models.
We deduce and prove a general formula to approximate the change in frequency of a mutant allele under weak selection, when this allele is introduced in small frequency into a population which was previously at a fixation state. We apply the formula to autosomal genes in partial selfing models and to autosomal as well as sex-linked genes in partial sib mating models. It is shown that the fate of a rare mutant allele depends not only on the selection parameters, the inbreeding coefficient and the reproductive values of the sexes in sex-differentiated populations, but also on coefficients of relatedness between mates. This is interpreted as a kin selection effect caused by inbreeding per se.
Lessard
Sabin
S
Département de mathématiques et de statistique, Université de Montréal, C.P. 6128, Succursale Centre-ville, Montréal (Québec), Canada H3C 3J7. lessards@dms.umontreal.ca
Rocheleau
Ghislain
G
D000483:Alleles; D005787:Gene Frequency / Q000235:genetics*; D007178:Inbreeding; D008957:Models, Genetic; D009154:Mutation / Q000235:genetics*; D012641:Selection, Genetic