Abstract
The so-called "Fundamental Theorem of Natural Selection", that the mean fitness of a population increases with time under natural selection, is known not to be true, as a mathematical theorem, when fitnesses depend on more than one locus. Although this observation may not have particular biological relevance, (so that mean fitness may well increase in the great majority of interesting situations), it does suggest that it is of interest to find an evolutionary result which is correct as a mathematical theorem, no matter how many loci are involved. The aim of the present note is to prove an evolutionary theorem relating to the variance in fitness, rather than the mean: this theorem is true for an arbitrary number of loci, as well as for arbitrary (fixed) fitness parameters and arbitrary linkage between loci. Connections are briefly discussed between this theorem and the principle of quasi-linkage equilibrium.
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Selected References
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- Feldman M. W., Crow J. F. On quasilinkage equilibrium and the fundamental theorem of natural selection. Theor Popul Biol. 1970 Nov;1(3):371–391. doi: 10.1016/0040-5809(70)90052-3. [DOI] [PubMed] [Google Scholar]