On the theory of partially inbreeding finite populations. V. The effective size of a partially selfing age-structured population.
Consider a large population, with the same age distribution at times 0, 1, 2, ..., in which there is reproduction by selfing with probability beta and by random mating with probability 1-beta. An individual between i and i + 1 units of age at time t is said to be in age group i at that time. Let L be the mean, among copies of an allele A in genotypes of offspring in age group 0, of ages of parents when the inbreeding coefficient has attained an equilibrium value. Then if there is no selection and allele A is originally present in one heterozygote, the probability that it is ultimately fixed is 1/(2N0L), where N0 is the number of individuals in age group 0 at any time. The effective population size can then be derived. It turns out to be the same as for a population with discrete generations having the same mean and variance of the number of successful gametes produced during a lifetime and the same number of individuals entering the population per generation.
Pollak
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Department of Statistics, Iowa State University, Ames 50011, USA. pllk@iastate.edu
D017677:Age Distribution; D000483:Alleles; D000818:Animals; D005787:Gene Frequency; D006801:Humans; D007178:Inbreeding; D008954:Models, Biological; D010944:Plants / Q000235:genetics; D011156:Population Density; D011157:Population Dynamics