Hostname: page-component-848d4c4894-8bljj Total loading time: 0 Render date: 2024-06-27T01:45:20.906Z Has data issue: false hasContentIssue false
  • English
  • Français

Selection with control of inbreeding in populations with overlapping generations: a comparison of methods

Published online by Cambridge University Press:  18 August 2016

A. K. Sonesson ,
B. Grundy ,
J. A. Woolliams  and
T. H. E. Meuwissen
A. K. Sonesson
Affiliation:
Institute for Animal Science and Health, Box 65, 8200 AB Lelystad, The Netherlands
B. Grundy
Affiliation:
Scottish Agricultural College, West Mains Road, Edinburgh EH9 3JG
J. A. Woolliams
Affiliation:
Roslin Institute, Midlothian EH25 9PS
T. H. E. Meuwissen
Affiliation:
Institute for Animal Science and Health, Box 65, 8200 AB Lelystad, The Netherlands
Get access

Abstract

Methods that maximize genetic response in populations with overlapping generations while controlling rate of inbreeding by constraining the average relationship among selection candidates were compared. Firstly, computer simulations of closed nucleus selection schemes showed that a two-stage optimization algorithm approach, where the distribution of parents within and thereafter over age classes was optimized resulted in different breeding schemes than an approach that performed an iteration on this distribution. It yielded significantly lower annual genetic gain (0·194 v. 0·223 σp units), fewer animals selected (21·9 v. 26·4) and longer generation intervals (2·38 v. 1·68 years) but maintained the rate of inbreeding closer to its constraint. In large schemes, iteration may be computationally the only feasible method for the optimization of parents across age classes. Secondly, the use of conventional relationships for constraining inbreeding was compared with that of augmented relationships, which do not depend on the level of inbreeding. Both relationships resulted in very similar breeding schemes, but the use of augmented relationships avoids correction of the current level of inbreeding. Thirdly, a constraint of the rate of inbreeding on a per year basis was compared with a constraint on a per generation basis. When optimizing per generation, the generation interval was shorter compared with a scheme where an analogous annual restriction was in place (2·01 v. 2·38 years) and the annual rate of genetic gain was higher (0·214 v. 0·194 σp units).

Keywords

breeding programmeseffective population sizegenetic gaininbreedingoverlapping generations
Type
Breeding and genetics
Information
Animal Science , Volume 70 , Issue 1 , February 2000 , pp. 1 - 8
Copyright
Copyright © British Society of Animal Science 2000

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

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: 421–431.CrossRefGoogle ScholarPubMed
Essi, A. 1998. Longevity in dairy cattle breeding: a review. Livestock Production Science 57: 79–89.Google Scholar
Grundy, B., Villanueva, B. and Woolliams, J. A. 1997. Maximising response with a predefined rate of inbreeding for overlapping generation structure. Proceedings of British Society of Animal Science, 1997, p. 27.Google Scholar
Grundy, B., Villanueva, B. and Woolliams, J. A. 1998. Dynamic selection procedures for constrained inbreeding and their consequences for pedigree development. Genetica! Research, Cambridge 72: 159–168.Google Scholar
Grundy, B., Villanueva, B. and Woolliams, J. A. 2000. Dynamic selection for maximizing response with constrained inbreeding in schemes with overlapping generations. Animal Science In press.CrossRefGoogle Scholar
Hill, W. G. 1974. Prediction and evaluation of response to selection with overlapping generations. Animal Production 18: 117–139.Google Scholar
Meuwissen, T. H. E. 1997. Maximizing the response of selection with a predefined rate of inbreeding. Journal of Animal Science 75: 934–940.Google Scholar
Meuwissen, T. H. E. and Sonesson, A. K. 1998. Maximizing the response of selection with a predefined rate of inbreeding: overlapping generations. Journal of Animal Science 76: 2575–2583.CrossRefGoogle ScholarPubMed
Press, W. H., Flannery, B. P., Teukolsky, S. A. and Vetterling, W. T. 1989. Minimization or maximization of functions. In Numerical recipes — the art of scientific computing, pp. 274–334. University of Cambridge Press.Google Scholar
Quaas, R. L. 1976. Computing the diagonal elements of a large numerator relationship matrix. Biometrics 32: 949–953.Google Scholar
Wray, N. R. and Goddard, M.E. 1994. Increasing long-term response to selection. Genetics, Selection, Evolution 26: 431–451.Google Scholar