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A note on the balance between random sampling and population size. (On the 30th anniversary of G. Malécot's paper).
- Source :
-
Genetics [Genetics] 1974 Jul; Vol. 77 (3), pp. 607-10. - Publication Year :
- 1974
-
Abstract
- Wright's model for the effects of random fluctuations in gene frequency in a population of fixed size is generalized to randomly fluctuating population size, and treated from the viewpoint of G. Malécot, using a martingale convergence theorem. The gene frequency approaches a limit, whose value depends on the actual realization, or history, of the process; that is, convergence is with probability one (or: almost surely) in statistical language. The limit does not necessarily represent a state of fixation of either allele; in particular, the limiting probability distribution is not necessarily trivial. For the special case of deterministically varying population size, a necessary and sufficient condition for such non-triviality is given.
Details
- Language :
- English
- ISSN :
- 0016-6731
- Volume :
- 77
- Issue :
- 3
- Database :
- MEDLINE
- Journal :
- Genetics
- Publication Type :
- Academic Journal
- Accession number :
- 4609833
- Full Text :
- https://doi.org/10.1093/genetics/77.3.607