Hostname: page-component-586b7cd67f-t7czq Total loading time: 0 Render date: 2024-11-30T23:29:06.276Z Has data issue: false hasContentIssue false

The effect of linkage and population size on inbreeding depression due to mutational load

Published online by Cambridge University Press:  14 April 2009

D. Charlesworth*
Affiliation:
Department of Ecology and Evolution, University of Chicago, 1101 E 57th St, Chicago, IL 60637
M. T. Morgan
Affiliation:
Department of Ecology and Evolution, University of Chicago, 1101 E 57th St, Chicago, IL 60637
B. Charlesworth
Affiliation:
Department of Ecology and Evolution, University of Chicago, 1101 E 57th St, Chicago, IL 60637
*
*Corresponding author.
Rights & Permissions [Opens in a new window]

Summary

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Using a stochastic model of a finite population in which there is mutation to partially recessive detrimental alleles at many loci, we study the effects of population size and linkage between the loci on the population mean fitness and inbreeding depression values. Although linkage between the selected loci decreases the amount of inbreeding depression, neither population size nor recombination rate have strong effects on these quantities, unless extremely small values are assumed. We also investigate how partial linkage between the loci that determine fitness affects the invasion of populations by alleles at a modifier locus that controls the selfing rate. In most of the cases studied, the direction of selection on modifiers was consistent with that found in our previous deterministic calculations. However, there was some evidence that linkage between the modifier locus and the selected loci makes outcrossing less likely to evolve; more losses of alleles promoting outcrossing occurred in runs with linkage than in runs with free recombination. We also studied the fate of neutral alleles introduced into populations carrying detrimental mutations. The times to loss of neutral alleles introduced at low frequency were shorter than those predicted for alleles in the absence of selected loci, taking into account the reduction of the effective population size due to inbreeding. Previous studies have been confined to outbreeding populations, and to alleles at frequencies close to one-half, and have found an effect in the opposite direction. It therefore appears that associations between neutral and selected loci may produce effects that differ according to the initial frequencies of the neutral alleles.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1992

References

Bell, G. (1988). Recombination and the immortality of the germ line. Journal of Evolutionary Biology 1, 6782.CrossRefGoogle Scholar
Campbell, R. B. (1986). The interdependence of mating structure and inbreeding depression. Theoretical Population Biology 30, 232244.CrossRefGoogle ScholarPubMed
Charlesworth, B. (1980). The cost of sex in relation to mating system. Theoretical Population Biology 84, 655671.CrossRefGoogle ScholarPubMed
Charlesworth, B. (1990). Mutation-selection balance and the evolutionary advantage of sex and recombination. Genetical Research 55, 199221.CrossRefGoogle ScholarPubMed
Charlesworth, B.Morgan, M. T. & Charlesworth, D. (1991). Multilocus models of inbreeding depression with synergistic selection and partial self-fertilisation. Genetical Research 57, 177194.CrossRefGoogle Scholar
Charlesworth, D. (1991). The apparent selection on neutral marker loci in partially inbreeding populations. Genetical Research 57, 159195.CrossRefGoogle Scholar
Charlesworth, D. & Charlesworth, B. (1987). Inbreeding depression and its evolutionary consequences. Annual Review of Ecology and Systematics 18, 237268.CrossRefGoogle Scholar
Charlesworth, D. & Charlesworth, B. (1990). Inbreeding depression with heterozygote advantage and its effect on selection for modifiers changing the outcrossing rate. Evolution 44, 870888.CrossRefGoogle ScholarPubMed
Charlesworth, D.Morgan, M. T. & Charlesworth, B. (1990). Inbreeding depression, genetic load and the evolution of outcrossing rates in a multi-locus system with no linkage. Evolution 44, 14691489.CrossRefGoogle Scholar
Crow, J. F. (1970). Genetic loads and the cost of natural selection. In Mathematical Models in Population Genetics (ed. Kojima, K.-I.), pp. 128177. Berlin: Springer-Verlag.CrossRefGoogle Scholar
Crow, J. F. & Kimura, M. (1970). An Introduction to Population Genetics Theory. New York: Harper and Row.Google Scholar
Fraser, A. S. & Burnell, D. (1970). Computer Models in Genetics. New York: McGraw-Hill.Google Scholar
Golding, G. B. & Strobeck, C. (1980). Linkage disequilibrium in a finite population that is partially selfing. Genetics 94, 777789.CrossRefGoogle Scholar
Heller, J. & Smith, J. Maynard (1979). Does Muller's ratchet work with selfing? Genetical Research 32, 289293.CrossRefGoogle Scholar
Holsinger, K. E. (1988). Inbreeding depression doesn't matter: the genetic basis of mating system evolution. Evolution 42, 12351244.CrossRefGoogle ScholarPubMed
Kimura, M. & Maruyama, T. (1966). The mutational load with epistatic gene interactions in fitness. Genetics 54, 13371351.CrossRefGoogle ScholarPubMed
Kimura, M.Maruyama, T. & Crow, J. F. (1963). The mutational load in small populations. Genetics 48, 13031312.CrossRefGoogle ScholarPubMed
Kimura, M. & Ohta, T. (1969). The average number of generations until fixation of a mutant gene in a finite population. Genetics 61, 763771.CrossRefGoogle Scholar
Kondrashov, A. S. (1985). Deleterious mutation as an evolutionary factor. II. Facultative apomixis and selfing. Genetics 111, 635653.CrossRefGoogle ScholarPubMed
Lande, R. (1988). Genetics and demography in biological conservation. Science 241, 14551460.CrossRefGoogle ScholarPubMed
Lande, R. & Schemske, D. W. (1985). The evolution of selffertilization and inbreeding depression in plants. I. Genetic models. Evolution 39, 2440.Google ScholarPubMed
Lynch, M. & Gabriel, W. (1990). Mutation load and the survival of small populations. Evolution 44, 17251737.CrossRefGoogle ScholarPubMed
Nagylaki, T. (1976). A model for the evolution of self fertilization and vegetative reproduction. Journal of Theoretical Biology 58, 5558.CrossRefGoogle Scholar
Ohta, T. (1971). Associative overdominance caused by linked detrimental mutations. Genetical Research 18, 277286.CrossRefGoogle Scholar
Ohta, T. (1973). Effect of linkage on behaviour of mutant genes in finite populations. Theoretical Population Biology 4, 145172.CrossRefGoogle Scholar
Pollak, E. (1987). On the theory of partially inbreeding finite populations. I. Partial selfing. Genetics 117, 353360.CrossRefGoogle ScholarPubMed
Simmons, M. J. & Crow, J. F. (1977). Mutations affecting fitness in Drosophila populations. Annual Review of Genetics 11, 4978.CrossRefGoogle ScholarPubMed
Sved, J. A. (1968). The stability of linked systems of loci with a small population size. Genetics 59, 543563.CrossRefGoogle ScholarPubMed
Sved, J. A. (1971). Linkage disequilibrium and homozygosity of chromosome segments in finite populations. Theoretical Population Biology 2, 125141.CrossRefGoogle ScholarPubMed
Sved, J. A. (1972). Heterosis at the level of the chromosome and at the level of the gene. Theoretical Population Biology 3, 491506.CrossRefGoogle ScholarPubMed
Sved, J. & Wilton, A. N. (1989). Inbreeding depression and the maintenance of deleterious genes by mutation: model of a Drosophila chromosome. Genetical Research 54, 119128.CrossRefGoogle Scholar
Uyenoyama, M. K. & Waller, D. M. (1991). Coevolution of self-fertilization and inbreeding depression. I. Genetic modification in response to mutation-selection balance at one and two loci. Theoretical Population Biology 40, 1416.CrossRefGoogle Scholar
Weir, B. S. & Cockerham, C. C. (1973). Mixed selfing and random mating at two loci. Genetical Research 21, 247262.CrossRefGoogle Scholar