Mutation modification with multiplicative fertility selection

Twomey, Michael J.; Feldman, Marcus W.

doi:10.1016/0040-5809(90)90042-t

Cited by 10 publications

(11 citation statements)

References 17 publications

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“…It might therefore be expected that the evolution of modifiers of recombination, mutation, or migration should be qualitatively different if selection were more general in this sense. In fact, with fitness differences between the sexes, the reduction principle for mutation may fail, and the direction of evolution may depend on the recombination R between the modifier and major genes (116). In a numerical study, we found, however, that if the viability in one sex is one minus that in the other (sex-ratio evolution), only reduction of recombination appeared possible.…”

Section: Failure Of the Reduction Principle In Large Populationsmentioning

confidence: 75%

Population Genetic Perspectives on the Evolution of Recombination

1996

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Optimality arguments and modifier theory are reviewed as paradigms for the study of the evolution of recombination. Optimality criteria (such as maximization of mean fitness) may agree with results from models developed in terms of the evolution of recombination at modifier loci. Modifier models demonstrate, however, that equilibrium mean fitness can decrease during the evolution of recombination rates and is not always maximized. Therefore, optimality arguments do not successfully predict the conditions under which increased or decreased recombination will evolve. The results from modifier models indicate that decreased recombination rates are usually favored when the population is initially near a polymorphic equilibrium with linkage disequilibrium. When the population is subject to directional selection or to deleterious mutations, increased recombination may be favored under certain conditions, provided that there is negative epistasis among alleles.

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Section: Failure Of the Reduction Principle In Large Populationsmentioning

confidence: 75%

Population Genetic Perspectives on the Evolution of Recombination

1996

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“…Initially, the optimal hypothesis was based on group selection (Berg, 1941(Berg, , 1942(Berg, , 1948 and related genetic load (Kimura, 1960(Kimura, , 1967Levins, 1967) arguments, but later the analysis based on individual selection, which is more appropriate for amphimictic populations, was developed (Leigh, 1970(Leigh, , 1973. Under invariant direct selection positive mutation rates can be favoured only when an equilibrium population is polymorphic and either the population size is finite (Gillespie, 1981a), mating is non-random (Holsinger & Feldman, 1983), or selection acts on fecundity (Holsinger et al 1986;Twomey & Feldman, 1990). Changing selection generally favours positive mutation rates (Gillespie, 19816;Semenov & Terkel, 1985;Ishii et al 1989), although zero mutation rates can also be established under some values of the parameters (Leigh, 1970(Leigh, , 1973Gillespie, 1981 b).…”

Section: (Ii) Minimal V Optimal Mutation Ratesmentioning

confidence: 99%

“…Actually, the same is true under a wider range of assumptions. A zero rate is favoured under any invariant mode of selection, even if a genotype with the highest fitness is heterozygous, so that some mutations can increase the fitness on some genetic backgrounds, as long as the population size is infinite and mating is random (Karlin & McGregor, 1974;Liberman & Feldman, 1986;Twomey & Feldman, 1990).…”

Section: (Ii) Minimal V Optimal Mutation Ratesmentioning

confidence: 99%

Modifiers of mutation-selection balance: general approach and the evolution of mutation rates

Kondrashov

1995

Genet. Res.

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A general approach is developed to estimate secondary selection at a modifier locus that influences some feature of a population under mutation-selection balance. The approach is based on the assumption that the properties of all available genotypes at this locus are similar. Then mutationselection balance and weak associations between genotype distributions at selectable loci and the modifier locus are established rapidly. In contrast, changes of frequencies of the modifier genotypes are slow, and lead to only slow and small changes of the other features of the population. Thus, while these changes occur, the population remains in a state of quasi-equilibrium, where the mutation-selection balance and the associations between the selectable loci and the modifier locus are almost invariant. Selection at the modifier locus can be estimated by calculating quasiequilibrium values of these associations. This approach is developed for the situation where distributions of the number of mutations per genome within the individuals with a given modifier genotype are close to Gaussian. The results are used to study the evolution of the mutation rate. Because beneficial mutations are ignored, secondary selection at the modifier locus always diminishes the mutation rate. The coefficient of selection against an allele which increases the mutation rate by v is approximately v8 2 /[U(2-p)] = us, where U is the genomic deleterious mutation rate, S is the selection differential of the number of mutations per individual in units of the standard deviation of the distribution of this number in the population, p is the ratio of variances of the number of mutations after and before selection, and s is the selection coefficient against a mutant allele in the quasiequilibrium population. However, the decline of the mutation rate can be counterbalanced by the cost of fidelity, which can lead to an evolutionary equilibrium mutation rate.

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“…Fertility selection models are known for their complex dynamic behavior (classical papers : Owen 1953;Bodmer 1965;Hadeler and Liberman 1975; for more recent results: Liberman and Feldman 1985; Holsinger et al 1986;Koth and Kemler 1986;Nagylaki 1987;Twomey and Feldman 1990;Lessard 1993Lessard , 1994. For example, a single-locus population can have two different stable polymorphic equilibria simultaneously (Owen 1953;Bodmer 1965) and can even evolve to a stable limit cycle (Hadeler and Liberman 1975;Koth and Kemler 1986).…”

Section: Symmetric Viability Selection Against Heterozygotesmentioning

confidence: 99%

Single Locus Clines

Gavrilets¹

1997

Evolution

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Mutation modification with multiplicative fertility selection

Cited by 10 publications

References 17 publications

Population Genetic Perspectives on the Evolution of Recombination

Population Genetic Perspectives on the Evolution of Recombination

Modifiers of mutation-selection balance: general approach and the evolution of mutation rates

Single Locus Clines

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