Hostname: page-component-78c5997874-fbnjt Total loading time: 0 Render date: 2024-11-04T18:58:48.408Z Has data issue: false hasContentIssue false
  • English
  • Français

Strategies for increasing fixation probabilities of recessive mutations

Published online by Cambridge University Press:  14 April 2009

A. Caballero ,
P. D. Keightley  and
W. G. Hill
A. Caballero
Affiliation:
Institute of Cell, Animal and Population Biology, University of Edinburgh, West Mains Road, Edinburgh EH9 3JT*
P. D. Keightley
Affiliation:
Institute of Cell, Animal and Population Biology, University of Edinburgh, West Mains Road, Edinburgh EH9 3JT*
W. G. Hill
Affiliation:
Institute of Cell, Animal and Population Biology, University of Edinburgh, West Mains Road, Edinburgh EH9 3JT*

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.

Fixation probabilities and mean times to fixation of new mutant alleles in an isogenic population having an effect on a quantitative trait under truncation selection were computed using stochastic simulation. A variety of population structures and breeding systems were studied in order to find an optimal design for maximizing the fixation probability for recessive genes without impairing that for non-recessives or delaying times to fixation. Circular mating or cycles with repeated generations of close inbreeding alternating with combination of the families proved to be very inefficient. The most successful scheme found, considering fixation probabilities and times to fixation jointly, was to practise individual selection and mate full sibs whenever possible, otherwise mate at random. The benefit was directly proportional to the number of full-sib matings performed, which, in turn, almost exclusively depended on the number of selected individuals with very little effect of selection intensity or magnitude of gene effects. Fixation rates could be well approximated by diffusion methods. When selection was practised in only one sex and, therefore, the proportion of full-sib matings could be varied from zero to one, maximizing the amount of full-sib mating was found to maximize fixation probability, at least for single mutants.

Type
Research Article
Information
Genetics Research , Volume 58 , Issue 2 , October 1991 , pp. 129 - 138
Copyright
Copyright © Cambridge University Press 1991

References

Bulmer, M. G. (1971). The effect of selection on genetic variability. The American Naturalist 105, 201–211.Google Scholar
Bulmer, M. G. (1980). The Mathematical Theory of Quantitative Genetics. Oxford: Clarendon Press.Google Scholar
Burrows, P. M. (1972). Expected selection differentials for directional selection. Biometrics 28, 1091–1100.Google Scholar
Crow, J. F. & Kimura, M. (1970). An Introduction to Population Genetics Theory. New York: Harper & Row.Google Scholar
Dickerson, G. E. & Lindhé, N. B. H. (1977). Potential uses of inbreeding to increase selection response. Proceedings of the International Conference on Quantitative Genetics, pp. 323–342. Iowa State University, Ames, Iowa, U.S.A.Google Scholar
Gale, J. S. (1990). Theoretical Population Genetics. London: Unwin Hyman.Google Scholar
Gallcgo, A. & Caballero, A. (1990). The cumulative effect of artificial selection on the reduction of population effective size. Journal of Animal Breeding and Genetics 107, 180–187.Google Scholar
Hill, W. G. (1982). Rates of change in quantitative traits from fixation of new mutations. Proceedings of the National Academy of Sciences U.S.A. 79, 142–145.Google Scholar
Hill, W. G. (1985). Fixation probabilities of mutant genes with artificial selection. Génétique, Sélection, Evolution 17, 351–358.Google Scholar
Kimura, M. (1962). On the probability of fixation of mutant genes in a population. Genetics 47, 713–719.Google Scholar
Kimura, M. & Crow, J. F. (1963). On the maximum avoidance of inbreeding. Genetical Research 4, 399–415.Google Scholar
Latter, B. D. H. (1965). The response to artificial selection due to autosomal genes of large effect. I. Changes in gene frequency at an additive locus. Australian Journal of Biological Sciences 18, 585–598.Google Scholar
López-Fanjul, C. (1989). Tests of theory by selection experiments. In Evolution and Animal Breeding. Reviews on Molecular and Quantitative Approaches in Honour of Alan Robertson (ed. Hill, W. G. and Mackay, T. F. C.), pp. 129–133. Wallingford, UK: C.A.B. International.Google Scholar
López-Fanjul, C. & Caballero, A. (1990). The effect of artificial selection on new mutations for a quantitative trait. In Proceedings of the 4th World Congress on Genetics Applied to Livestock Production (ed. Hill, W. G., Thompson, R. and Woolliams, J. A.), pp. 210–218.Google Scholar
López-Fanjul, C. & Villaverde, A. (1989). Inbreeding increases genetic variance for viability in Drosophila melanogaster. Evolution 43, 1800–1804.Google Scholar
Lynch, M. (1988). The rate of polygenic mutation. Genetical Research 51, 137–148.Google Scholar
Mackay, T. F. C. (1990). Distribution of effects of new mutations affecting quantitative traits. In Proceedings of the 4th World Congress on Genetics Applied to Livestock Production (ed. Hill, W. G., Thompson, R. and Woolliams, J. A.), pp. 219–228.Google Scholar
Madalena, F. E. & Hill, W. G. (1972). Population structure in artificial selection programmes: simulation studies. Genetical Research 20, 75–99.Google Scholar
Maruyama, T. (1970). On the fixation probability of mutant genes in a subdivided population. Genetical Research 15, 221–225.Google Scholar
Pollak, E. (1988). On the theory of partially inbreeding finite populations. II. Partial sib mating. Genetics 120, 303–311.Google Scholar
Robertson, A. (1952). The effects of inbreeding on the variation due to recessive genes. Genetics 37, 189–207.Google Scholar
Robertson, A. (1965). The interpretation of genotypic ratios in domestic animals populations. Animal Production 7, 319–324.Google Scholar
Robertson, A. (1960). A theory of limits in artificial selection. Proceedings of the Royal Society of London B 153, 234–249.Google Scholar
Robertson, A. (1961), Inbreeding in artificial selection programmes. Genetical Research 2, 189–194.Google Scholar
Simmonds, N. W. (1979). Principles of Crop Improvement. London and New York: Longman.Google Scholar
Slatkin, M. (1981). Fixation probabilities and fixation times in a subdivided population. Evolution 35, 477–488.Google Scholar
Wray, N. R. & Thompson, R. (1990). Prediction of rates of inbreeding in selected populations. Genetical Research 55, 41–54.Google Scholar
Wright, S. (1922). Coefficients of inbreeding and relationship. The American Naturalist 56, 330–338.Google Scholar