Coalescent results for two-sex population models. (English) Zbl 0910.60006

Möhle, M.

Adv. Appl. Probab. 30, No. 2, 513-520 (1998).

Summary: ‘Convergence-to-the-coalescent’ theorems for two-sex neutral population models are presented. For the two-sex Wright-Fisher model the ancestry of \(n\) sampled genes behaves like the usual \(n\)-coalescent, if the population size \(N\) is large and if the time is measured in units of \(4N\) generations. Generalisations to a larger class of two-sex models are discussed.

MSC:

60F05	Central limit and other weak theorems
92D10	Genetics and epigenetics
92D25	Population dynamics (general)
60J10	Markov chains (discrete-time Markov processes on discrete state spaces)

Keywords:

coalescent; two-sex population models; genealogical process; population genetics; robustness; two-sex Wright-Fisher model