The time back to the most recent common ancestor in exchangeable population models. (English) Zbl 1042.60054

Möhle, M.

Adv. Appl. Probab. 36, No. 1, 78-97 (2004).

The author presents solutions, algorithms and strong upper bounds for the expected time back to the most recent common ancestor (MCRA) and shows that the expected time back to MCRA in a finite population is smaller than what is expected from coalescent theory and verifies the same for the haploid Wright-Fisher model.

Reviewer: P. R. Parthasarathy (Chennai)

MSC:

60J70	Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.)
92D25	Population dynamics (general)

Keywords:

coalescent; Wright-Fisher model; exchangeability