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Systems of mating to reduce inbreeding in selected populations

Published online by Cambridge University Press:  02 September 2010

A. Caballero
Affiliation:
Institute of Cell, Animal and Population Biology, University of Edinburgh, West Mains Road, Edinburgh EH9 3JT
E. Santiago
Affiliation:
Departamento de Biologi'a Funcional, Universidad de Oviedo, 33071 Oviedo, Spain
M. A. Toro
Affiliation:
Instituto Nactional de Investigation Agrarias, Carretera de la Coruña sin, 28040, Madrid, Spain
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Abstract

Stochastic simulation is used to compare different systems of mating to reduce rates of inbreeding in selection programmes with phenotypic or animal model best linear unbiased prediction (BLUP) evaluation. Compensatory mating (the mating between individuals from the largest selected families to individuals from the smallest) turns out to be proportionately about 0-30 more effective than minimum coancestry matings for situations with low rates of inbreeding, such as phenotypic selection or high population size, although the advantage is less apparent if common environmental effects are important. A modification of this system of mating is proposed which can be applied for overlapping generations, and this is shown to reduce rates of inbreeding proportionately by about 0-50 more than for discrete generations. Under high inbreeding, however, such as for BLUP selection and small population size, minimum coancestry matings, or even avoidance of sib matings are more effective. A procedure combining compensatory and minimum coancestry matings is also simulated and gives the largest reductions in the rate of inbreeding. The effects of these and other systems of mating on the rate of inbreeding are shown to occur through a reduction in the cumulative effect of selection and a deviation from Hardy-Weinberg proportions.

Type
Research Article
Copyright
Copyright © British Society of Animal Science 1996

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References

Belonsky, G. M. and Kennedy, B. W. 1988. Selection on individual phenotype and best linear unbiased predictor of breeding value in a closed swine herd, journal of Animal Science 66:11241131.CrossRefGoogle Scholar
Brisbane, J. R. and Gibson, J. P. 1995. Balancing selection response and rate of inbreeding by including genetic relationships in selection decisions. Theoretical and Applied Genetics 91:421431.CrossRefGoogle ScholarPubMed
Bulmer, M. G. 1980. The Mathematical theory of quantitative genetics. Clarendon Press, Oxford.Google Scholar
Caballero, A. 1994. Developments in the prediction of effective population size. Heredity 73:657679.CrossRefGoogle ScholarPubMed
Caballero, A. and Hill, W. G. 1992. Effective size of nonrandom mating populations. Genetics 130: 909916.CrossRefGoogle ScholarPubMed
Caballero, A. and Santiago, E. 1995. Response to selection from new mutation and effective size of partially inbred populations. 1. Theoretical results. Genetical Research 66:213225.CrossRefGoogle Scholar
Cockerham, C. C. 1970. Avoidance and rate of inbreeding. In Mathematical topics in population genetics (ed. Kojima, K.), pp.104127. Springer-Verlag, Berlin.CrossRefGoogle Scholar
Crow, J. F. and Kimura, M. 1970. An introduction to population genetics theory, pp. 141170. Harper and Row, New York.Google Scholar
Dempfle, L. 1975. A note on increasing the limit to selection through selection within families. Genetical Research 24:127135.CrossRefGoogle Scholar
De Roo, G. 1988. Studies on breeding schemes in a closed pig population. II. Mating policy. Livestock Production Science 19:443458.CrossRefGoogle Scholar
Goddard, M. E. and Smith, C. 1990. Adjustment of sires' estimated breeding values for the prospective inbreeding impact on the breed. Journal of Dairy Science 73 (suppl. 1):233.Google Scholar
Groeneveld, E., Kovac, M. and Wang, T. 1990. PEST, a general purpose BLUP package for multivariate prediction and estimation. Proceedings of the fourth world congress on genetics applied to livestock production 13:488491.Google Scholar
Grundy, B., Caballero, A., Santiago, E. and Hill, W. G. 1994. A note on using biased parameter values and non-random mating to reduce rates of inbreeding in selection programmes. Animal Production 59:465468.Google Scholar
Henderson, C. R. 1984. Application of linear models in annual breeding. University of Guelph, Canada.Google Scholar
Kimura, M. and Crow, J. F. 1963. On the maximum avoidance of inbreeding. Genetical Research 4:399415.CrossRefGoogle Scholar
Lindgren, D. 1991. Optimal utilization of genetic resources. Forest Tree Improvement 23:4967.Google Scholar
Lush, J. L. 1947. Family merit and individual merit as bases for selection. American Naturalist 81:241261 and 362-379.CrossRefGoogle Scholar
Luo, Z. W., Woolliams, J. A. and Thompson, R. 1995. Controlling inbreeding in dairy MOET nucleus schemes. Animal Science 60:379387.CrossRefGoogle Scholar
Press, W. H., Teukolsky, S. A., Vetterling, W. T. and Flannery, B. P. 1992. Numerical recipes in C. The art of scientific computing. 2nd edition. Cambridge University Press.Google Scholar
Quinton, M. and Smith, C. 1995. Comparison of evaluation-selection systems for maximizing genetic response at the same level of inbreeding. Journal of Animal Science 73:22082212.CrossRefGoogle ScholarPubMed
Quinton, M., Smith, C. and Goddard, M. E. 1992. Comparison of selection methods at the same level of inbreeding. Journal of Animal Science 70:10601067.CrossRefGoogle ScholarPubMed
Robertson, A. 1961. Inbreeding in artificial selection programmes. Genetical Research 2:189194.CrossRefGoogle Scholar
Robertson, A. 1964. The effect of non-random mating within inbred lines on the rate of inbreeding. Genetical Research 5:164167.CrossRefGoogle Scholar
Santiago, E. and Caballero, A. 1995. Effective size of populations under selection. Genetics 139:10131030.CrossRefGoogle ScholarPubMed
Toro, M. A. and Nieto, B. M. 1984. A simple method for increasing the response to artificial selection. Genetical Research 44:347349.CrossRefGoogle ScholarPubMed
Toro, M. A., Nieto, B. and Salgado, C. 1988a. A note on minimisation of inbreeding in small scale breeding programmes. Livestock Production Science 20:317323.CrossRefGoogle Scholar
Toro, M. A. and Pérez-Enciso, M. 1990. Optimization of selection response under restricted inbreeding. Genetics Selection Evolution 22:93107.CrossRefGoogle Scholar
Toro, M. A., Silió, L., Rodrigañez, J. and Dobao, M. T. 1988b. Inbreeding and family index for prolificacy in pigs. Animal Production 46:7985.Google Scholar
Verrier, E., Colleau, J. J. and Foulley, J. L. 1993. Long term effects of selection based on animal model BLUP in a finite population. Theoretical and Applied Genetics 87:446454.CrossRefGoogle Scholar
Villanueva, B., Woolliams, J. A. and Simm, G. 1994. Strategies for controlling rates of inbreeding in MOET nucleus schemes for beef cattle. Genetics Selection Evolution 26:517535.CrossRefGoogle Scholar
Wei, R.-P. 1995. Optimal restricted phenotypic selection. Theoretical and Applied Genetics 91:389394.CrossRefGoogle ScholarPubMed
Woolliams, J. A. 1989. Modifications to MOET nucleus breeding schemes to improve rates of genetic progress and decrease rates of inbreeding in dairy cattle. Animal Production 49:114.Google Scholar
Woolliams, J. A. and Meuwissen, T. H. E. 1993. Decision rules and variance of responses in breeding schemes. Animal Production 56:179186.Google Scholar
Woolliams, J. A. and Thompson, R. 1994. A theor y of genetic contributions. Proceedings of the fifth world congress on genetics applied to livestock production, Guelph 19:127134.Google Scholar
Woolliams, J. A., Wray, N. R. and Thompson, R. 1993. Prediction of long-term contributions and inbreeding in populations undergoing mass selection. Genetical Research 62:231242.CrossRefGoogle Scholar
Wtay, N. R. and Goddard, M. E. 1994. Increasing long-term response to selection. Genetics Selection Evolution 26:431451.Google Scholar
Wray, N. R. and Thompson, R. 1990. Predictions of rates of inbreeding in selected populations. Genetical Research 55:4154.CrossRefGoogle ScholarPubMed
Wray, N. R., Woolliams, J. A. and Thompson, R. 1994. Prediction of rate s of inbreeding in populations undergoing index selection. Theoretical and Applied Genetics 87:878892.CrossRefGoogle Scholar
Wright, S. 1921. Systems of mating. Genetics 6:111178.CrossRefGoogle ScholarPubMed
Wright, S. 1922. Coefficients of inbreeding and relationship. American Naturalist 56:330338.CrossRefGoogle Scholar
Wright, S. 1969. Evolution and genetics of populations, vol. 2, The theory of gene frequencies, pp. 294295. The University of Chicago Press, Chicago, Illinois.Google Scholar