title: Coalescent theory for age-structured random mating populations with two sexes.
abstract: Consider a population that develops over units of time labelled by zero and the negative integers. It is assumed that at any time r≤0 there are respectively N(m,a) males of age a and N(f,b) of females of age b, where a=1,…,A(m) and b=1,…,A(f). At time 0 a sample of n copies of a gene are assumed to be observed, where n≪min(ab)(N(m,a),N(f,b)). It is assumed that at any particular time r any possible mating is equally probable and that numbers of gametes contributed to offspring of age 1 and sex u by parents of sex v are exchangeable within age groups and independently distributed among age-groups. Coalescent theory is then derived, with time measured in multiples 2N(eC) of the effective population size N(eC), which depends on a measure T of the generation interval. Theory is developed for both autosomal and sex-linked loci in two special cases.
authors.affiliation: Department of Statistics, Iowa State University, Ames, IA 50011-1210, USA. pllk@iastate.edu
authors.forename: Edward
authors.initials: E
authors.lastname: Pollak
mesh_terms: D000367:Age Factors; D005260:Female; D005796:Genes; D006801:Humans; D008297:Male; D008957:Models, Genetic; D011156:Population Density; D012098:Reproduction / Q000235:genetics*; D013269:Stochastic Processes