Genealogical theory for random mating populations with two sexes
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Updated: Aug 9, 2026

Induction and Evaluation of Inbreeding Crosses Using the Ant, Vollenhovia Emeryi
Published on: October 5, 2018
1Department of Statistics, Iowa State University, Ames, IA 50011, USA. pllk@iastate.edu
Abstract:
Consider a random mating population that has N(m) males and N(f) females in each generation. Let us assume that at time 0 a random sample of n copies of a gene is taken from this population. Then, for models introduced by Wright [Evolution in Mendelian populations, Genetics 16 (1931) 97; Inbreeding and homozygosis, Proc. Nat. Acad. Wash. 19 (1933) 420; Evolution and the Genetics of Populations, The Theory of Gene Frequencies, vol. II, The University of Chicago, Chicago and London, 1969.], it is possible to obtain generalizations of the haploid theory of genealogical processes developed by Felsenstein . It is conjectured that these hold generally, regardless of the effective population size, if n<
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