Existence of steady-state probability distributions in multilocus models for genotype evolution
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It is shown that a representative Fisher-Wright model withn(≥3) diallelic loci admits a necessary condition for existence of a time-independent steady-state probability distribution. This necessary condition states that a global integral depending on the phenotype fitness functions of natural selection must be larger than a certain quantity depending on the parameters associated with genetic drift.
KeywordsGenetic Drift Kolmogorov Equation Diallelic Locus Relative Allele Frequency Multilocus Model
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- Fisher, R. A. 1922. “On the Dominance Ratio.”Proc. R. Soc. Edinb. 42, 321–341.Google Scholar
- Protter, M. H. and H. F. Weinberger. 1967.Maximum Principles in Differential Equations, p. 187. Englewood Cliffs, NJ: Prentice-Hall.Google Scholar
- Roughgarden, J. 1979.Theory of Population Genetics and Evolutionary Ecology: An Introduction, p. 111–113. New York: Macmillan.Google Scholar
- Wright, S. 1931. “Evolution in Mendelian Populations.”Genetics 16, 97–159.Google Scholar