Approaches to the Hardy-Weinberg Manifold
Abstract
Let fertilities and death rates be additive, let fertilities be positive, and let mating be random in the Nagylaki-Crow continuous model of selection at a multiallelic locus in a monoecious population. Then polymorphisms are in Hardy-Weinberg proportions. If some fertilities vanish, there is an example of a diallelic polymorphism that is not in Hardy-Weinberg proportions. If the fertilities are larger, in one sense or another, than the difference between any two death rates, then convergence to the Hardy-Weinberg manifold is shown. If, in addition, the Malthusian parameters are constant, and only a finite number of equilibria exist, then global convergence to equilibria is proved. © 1994, Springer-Verlag. All rights reserved.
Recommended Citation
E. Akin and J. M. Szucs, "Approaches to the Hardy-Weinberg Manifold," Journal of Mathematical Biology, vol. 32, no. 7, pp. 633 - 643, Springer, Jan 1994.
The definitive version is available at https://doi.org/10.1007/BF00163019
Department(s)
Mathematics and Statistics
Keywords and Phrases
Convergence to equilibria; Hardy-Weinberg property; Multiallelic locus
International Standard Serial Number (ISSN)
1432-1416; 0303-6812
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2026 Springer, All rights reserved.
Publication Date
01 Jan 1994
