Abstract
The phenomenon of marginal underdominance at a stable equilibrium in a two-locus-two-allele deterministic selection model is studied analytically using bifurcation theory. This technique and additional numerical studies indicate several new aspects of the phenomenon that are of biological importance. Marginal underdominance can occur at both loci simultaneously and can be present in a model with small fitness differentials. This can occur for a fitness scheme that is a one parameter generalization of the classical symmetric fitness model.
Full Text
The Full Text of this article is available as a PDF (544.0 KB).
Selected References
These references are in PubMed. This may not be the complete list of references from this article.
- Bodmer W. F., Felsenstein J. Linkage and selection: theoretical analysis of the deterministic two locus random mating model. Genetics. 1967 Oct;57(2):237–265. doi: 10.1093/genetics/57.2.237. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Christiansen F. B., Frydenberg O., Gyldenholm A. O., Simonsen V. Genetics of Zoarces populations. VI. Further evidence, based on age group samples, of a heterozygote deficit in the EstIII polymorphism. Hereditas. 1974;77(2):225–236. [PubMed] [Google Scholar]
- Ewens W. J., Thomson G. Properties of equilibria in multi-locus genetic systems. Genetics. 1977 Dec;87(4):807–819. doi: 10.1093/genetics/87.4.807. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Hastings A. Simultaneous stability of D = 0 and D not equal to 0 for multiplicative viabilities at two loci: an analytical study. J Theor Biol. 1981 Mar 7;89(1):69–81. doi: 10.1016/0022-5193(81)90180-6. [DOI] [PubMed] [Google Scholar]
- Karlin S., Carmelli D. Numerical studies on two-loci selection models with general viabilities. Theor Popul Biol. 1975 Jun;7(3):399–421. doi: 10.1016/0040-5809(75)90026-x. [DOI] [PubMed] [Google Scholar]
- Karlin S. General two-locus selection models: some objectives, results and interpretations. Theor Popul Biol. 1975 Jun;7(3):364–398. doi: 10.1016/0040-5809(75)90025-8. [DOI] [PubMed] [Google Scholar]
- Mitton J. B., Koehn R. K. Genetic organization and adaptive response of allozymes to ecological variables in Fundulus heteroclitus. Genetics. 1975 Jan;79(1):97–111. doi: 10.1093/genetics/79.1.97. [DOI] [PMC free article] [PubMed] [Google Scholar]