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Maximising response with a predefined rate of inbreeding for overlapping generation structure

Published online by Cambridge University Press:  05 November 2021

B Grundy ,
B Villanueva  and
J A Woolliams
B Grundy
Affiliation:
Scottish Agricultural College, West Mains Road, Edinburgh EH9 3JG, United Kingdom
B Villanueva
Affiliation:
Scottish Agricultural College, West Mains Road, Edinburgh EH9 3JG, United Kingdom
J A Woolliams
Affiliation:
Roslin Institute (Edinburgh), Roslin, Midlothian EH25 9PS, United Kingdom
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Extract

Wray and Thompson (1990) described the relationship between genetic contributions and the rate of inbreeding and this work was extended by Woolliams and Thompson (1994) to interpret genetic response in terms of genetic contributions. By using these relationships Meuwissen (1997) developed an algorithm for obtaining optimum selection decisions at a given (discrete) generation and level of inbreeding by maximising a function of accumulated gain corrected for squared contributions. Here we extend this method for optimising populations with overlapping generation structure and maximising response at a given rate rather than level of inbreeding. Three modifications to the afore mentioned model are presented: an augmented numerator relationship matrix which has not been corrected for reduced Mendelian variance with inbreeding, the consideration of committed future contributions beyond the next cohort derived from the lifetime breeding profile of the population, and a constraint to achieve the desired rate of inbreeding.

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Programme
Information
Proceedings of the British Society of Animal Science , Volume 1997 , 1997 , pp. 27
Copyright
Copyright © British Society of Animal Science 1997

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References

Meuwissen, T.H.E. 1997. Maximising the response of selection with a predefined rate of inbreeding. Journal of Animal Science submittedCrossRefGoogle Scholar
Thompson, R. 1977 The estimation of heritability with unbalanced data II. Data available on more than two generations. Biometrics 33: 497–504 CrossRefGoogle Scholar
Woolliams, J.A. and Thonmson, R. 1994. A theory of genetic contributions. Proceedings of the 5th World Congress on Genetics Applied to Livestock Production 19: 127–134 Google Scholar
Wray, N.R and Thompson, R 1990. Prediction of rates of inbreeding in selected populations. Genetical Research 55: 41–54 CrossRefGoogle ScholarPubMed