Fixation in bisexual models with variable population sizes
- 1 June 1997
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 34 (2) , 436-448
- https://doi.org/10.2307/3215383
Abstract
A general exchangeable bisexual model with variable population sizes is introduced. First the forward process, i.e. the number of certain descending pairs, is studied. For the bisexual Wright-Fisher model fixation of the descendants occurs, i.e. their proportion tends to 0 or 1 almost surely. The main part of this article deals with necessary and sufficient conditions for ultimate homozygosity, i.e. the proportion of an arbitrarily chosen allelic type tends to 0 or 1 almost surely. The results are applied to a bisexual Wright-Fisher model and to a bisexual Moran model.Keywords
This publication has 7 references indexed in Scilit:
- Forward and backward processes in bisexual models with fixed population sizesJournal of Applied Probability, 1994
- The extinction probability of descendants in bisexual models of fixed population sizeJournal of Applied Probability, 1991
- Looking forwards and backwards in a bisexual moran modelJournal of Applied Probability, 1989
- A genealogical approach to variable-population-size models in population geneticsJournal of Applied Probability, 1986
- An alternative approach to asymptotic results on genetic composition when the population size is varyingJournal of Mathematical Biology, 1983
- The genetic balance between random sampling and random population sizeJournal of Mathematical Biology, 1975
- A NOTE ON THE BALANCE BETWEEN RANDOM SAMPLING AND POPULATION SIZE (ON THE 30TH ANNIVERSARY OF G. MALÉCOT'S PAPER)Genetics, 1974