Motoo Kimura
Articles written in Journal of Genetics
Volume 57 Issue 1 June 1960 pp 21-34
Optimum mutation rate and degree of dominance as determined by the principle of minimum genetic load
It is demonstrated that by introducing what may be called the principle of minimum genetic load, the spontaneous mutation rate and the average degree of dominance of deleterious mutant genes may be derived theoretically from the total genetic damage and the rate of substitution of genes in horotelic evolution. The relations connecting these quantities may be expressed by a pair of equations:$$\left. \begin{gathered} \Sigma _\mu = \frac{{0 \cdot 3419E}}{{\bar h}}\left( {1 + 1 \cdot 720\bar h + ...} \right) \hfill \\ \bar h = 0 \cdot 6838\sqrt {\frac{E}{{2D}}} \left( {1 + 1 \cdot 018 \sqrt {\frac{E}{{2D}}} + ...} \right) \hfill \\ \end{gathered} \right\}$$, where Σ_{μ} is the spontaneous mutation rate per gamete per generation,
The implication of the principle of minimum genetic load for a cyclical change in environmental condition is also discussed.
Volume 64 Issue 1 July 1985 pp 7-19
The role of compensatory neutral mutations in molecular evolution
A pair of mutations at different loci (or sites) which are singly deleterious but restore normal fitness in combination may be called compensatory neutral mutations. Population dynamics concerning evolutionary substitutions of such mutants was developed by making use of the diffusion equation method. Based on this theory and, also, by the help of Monte Carlo simulation experiments, a remarkable phenomenon was disclosed that the double mutants can easily become fixed in the population by random drift under continued mutation pressure if the loci arc tightly linked, even when the single mutants are definitely deleterious. More specifically, I consider two loci with alleles
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