Fixation in bisexual models with variable population sizes

Journal of Applied Probability

Volumn 34, Issue 2, 1997, Pages 436-448

  Mohle M ^a,b  

^a UNIVERSITY OF CHICAGO   (United States)

^b JOHANNES GUTENBERG UNIVERSITY   (Germany)

Author keywords

Exchangeable processes; Fixation; Homozygosity; Moran model; Wright Fisher model

Indexed keywords

MATHEMATICAL MODELS; RANDOM PROCESSES; STATISTICAL METHODS;

EXCHANGEABLE PROCESSES; FIXATION; HOMOZYGOSITY; MORAN MODEL; WRIGHT-FISHER MODEL;

PROBABILITY;

EID: 0039325271     PISSN: 00219002     EISSN: None     Source Type: Journal    
DOI: 10.1017/S002190020010107X     Document Type: Article

References (10)

1. DONNELLY, P. (1986) Genealogical approach to variable-population-size models in population genetics. J. Appl. Prob. 23, 283-296.
2. HALL, P. G. AND HEYDE, C. C. (1980) Martingale Limit Theory and its Application. Academic Press, New York.
3. HEYDE, C. C. (1983) On limit theorems for gene survival. Colloq. Math. J. Bolyai.
4. HEYDE, C. C. (1983) An alternative approach to asymptotic results on genetic composition when the population size is varying. J. Math. Biol. 18, 163-168.
5. HEYDE, C. C. AND SENETA, E. (1975) The genetic balance between random sampling and random population size. J. Math. Biol. 1, 317-320.
6. KÄMMERLE, K. (1989) Vertauschbare bisexuelle Populationsmodelle. Dissertation. Johannes Gutenberg-Universität Mainz.
7. KÄMMERLE, K. (1989) Looking forwards and backwards in a bisexual Moran model. J. Appl. Prob. 26, 880-885.
8. KÄMMERLE, K. (1991) The extinction probability of descendants in bisexual models of fixed population size. J. Appl. Prob. 28, 489-502.
9. MÖHLE, M. (1994) Forward and backward processes in bisexual models with fixed population sizes. J. Appl. Prob. 31, 309-332.
10. SENETA, E. (1974) A note on the balance between random sampling and population size. Genetics 77, 607-610.