Abstract
According to the Reduction Principle, when a recombination-reducing allele is introduced near an equilibrium that depends on recombination, that allele will increase in frequency. If the allele increases the recombination rate, it will be expelled from the population. There are known cases where this principle fails. In this respect, an interesting question is what kind of two-sex viability regimes support a general Reduction Principle. In this paper, we construct a model of viabilities, due to two autosomal linked genes, which differ between the sexes, such that recombination is different in the sexes. A complete analysis is provided for the case where recombination is absent in one sex. It is proved that the Reduction Principle is still valid for recombination in the other sex.
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References
Altenberg, L. and M. W. Feldman. 1987. Selection, generalized transmission and the evolution of modifier genes. I. The reduction principle. Genetics 117: 559–572
Bergman, A. and M. W. Feldman. 1990. More on selection for and against recombination. Theor. Pop. Biol. 38: 68–92
Bergman, A. and M. W. Feldman. 1992. Recombination dynamics and the fitness landscape. Physica D 56: 57–67
Charlesworth, B. 1976. Recombination modification in a fluctuating environment. Genetics 83: 181–195
Charleswork, D., B. Charlesworth and C. Strobeck. 1979. Selection for recombination in partially self-fertilizing populations. Genetics 93: 237–244
Feldman, M. W. 1972. Selection for linkage modification. I. Random mating populations. Theor. Pop. Biol. 3: 324–346
Feldman, M. W., F. B. Christiansen and L. D. Brooks. 1980. Evolution of recombination in a constant environment. Proc. Natl. Acad Sci. USA 77: 4838–4841
Feldman, M W. and U. Liberman. 1986. An evolutionary reduction principle for genetic modifiers. Proc. Natl,. Acad. Sci. USA 83: 4824–4827
Goldstein, D., A. Bergman and M. W. Feldman. 1993. The evolution of interference: Reduction of recombination among three loci. Theor. Pop. Biol. In press
Hamilton, W. D. 1980. Sex versus non-sex versus parasite. Oikos 35: 282–290
Holsinger, K. E. and M. W. Feldman. 1983. Linkage modification with mixed random mating and selling: A numerical study. Genetics 103: 323–333
Liberman, U. and M. W. Feldman. 1986a. A general reduction principle for genetic modifiers of recombination. Theor. Pop. Biol. 30: 341–371
Liberman, U. and M. W. Feldman. 1986b. Modifiers of mutation rate: A general reduction principle. Theor. Pop. Biol. 30: 125–142
Liberman, U. and M. W. Feldman. 1989. The reduction principle for genetic modifiers of the migration rate. pp. 111–137. In: Feldman, M. W. (Ed.) Mathematical Evolutionary Theory. Princeton University Press
Liberman, U. and M. W. Feldman. 1993. Recombination modification with sex-linked characters. Theor. Pop. Biol. 44: 225–245
Liberman, U., M. W. Feldman, I. Eshel, and S. Otto. 1990. Two locus autosomal sex determination I. On the evolutionary genetic stability of the even sex ratio. Proc. Natl. Acad. Sci. USA 87: 2013–2107
Maynard Smith, J. 1988a. The evolution of recombination. pp. 106–125. In: Michod, R. E. and B. R. Levin (eds.), The Evolution of Sex. Sinauer Associates Inc., Sunderland, MA
Maynard Smith, J. 1988b. Selection for recombination in a polygenic model — The mechanism. Genet. Res. 51: 59–63
Nei, M. 1967. Modification of linkage intensity by natural selection. Genetics 57: 625–641
Nei, M. 1969. Linkage modification and sex difference in recombination. Genetics 63: 681–699
Twomey, M. J. and M. W. Feldman. 1990. Mutation modification with multiplicative fertility selection. Theor. Pop. Biol. 37: 320–342
Zhivotovsky, L. A., M. W. Feldman and F. B. Christiansen. 1993. Evolution of recombination among multiple selected loci: A generalized reduction principle. Proc. Natl. Acad. Sci. USA. To appear
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Research supported in part by NIH grants GM28016 and GM10452
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Liberman, U., Feldman, M.W. On the modification of recombination with sex-dependent fitnesses and linkage. J. Math. Biol. 34, 239–252 (1996). https://doi.org/10.1007/BF00160495
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DOI: https://doi.org/10.1007/BF00160495