The use of mathematical programming to control inbreeding in selection schemes

Journal of Animal Breeding and Genetics

Volumn 116, Issue 6, 1999, Pages 447-466

  Fernandez J ^a   Toro, M A ^a  

^a INIA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033275137     PISSN: 09312668     EISSN: None     Source Type: Journal    
DOI: 10.1046/j.1439-0388.1999.00196.x     Document Type: Article

References (22)

1. BALLOU, J. D.; LACY, R. C., 1995: Identifying genetically important individuals for management of genetic variation in pedigreed populations. In: BALLOU, J. D.; GILPIN, M.; FOOSE, T. J. (eds), Population Management for Survival and Recovery. Analytical Methods and Strategies in Small Population Conservation. Columbia University Press, New York. pp. 76-111.
2. BRISBANE, J. R.; GIBSON, J. P., 1995a: Balancing selection response and inbreeding by including predicted stabilised genetic contributions in selection decisions. Genet. Sel. Evol. 27: 541-549.
3. BRISBANE, J. R.; GIBSON, J. P., 1995b: Balancing selection response and rate of inbreeding by including genetic relationships in selection decisions. Theor. Appl. Genet. 91: 421-431.
4. CABALLERO, A.; SANTIAGO, E.; TORO, M. A., 1996: Systems of mating to reduce inbreeding in selected populations. Anim. Sci. 62: 431-442.
5. DANTZIG, G. B., 1963: Linear Programming and Extensions. Princeton University Press, Princeton, NJ.
6. GRUNDY, B.; LUO, Z. W.; VILLANUEVA, B.; WOOLLIAMS, J. A., 1998a: The use of Mendelian indices to reduce the rate of inbreeding in selection programmes. J. Anim. Breed. Genet. 115: 39-51.
7. GRUNDY, B.; VILLANUEVA, B.; WOOLLIAMS, J. A.; 1998b: Dynamic selection procedures for constrained inbreeding and their consequences for pedigree development. Genet. Res. Camb. 72: 159-168.
8. HILL, W. G., 1979: A note on effective population size with overlapping generations. Genetics 92: 317-591.
9. KLIEVE, H. M.; KINGHORN, B. P.; BARWICK, S. A., 1994: The joint regulation of genetic gain and inbreeding under mate selection. J. Anim. Breed. Genet. 111: 81-88.
10. LACY, R. C., 1994: Managing genetic diversity in captive populations of animals. In: BOWLES, M. L.; WHELAN, C. J. (eds), Restoration and Recovery of Endangered Plant and Animals. Cambridge University Press, Cambridge, pp. 63-89.
11. LINDGREN, D., 1991: Optimal utilization of genetic resources. Forest Tree Improvement 23: 49-67.
12. MEUWISSEN, T. H. E., 1997: Maximizing the response of selection with a predefined rate of inbreeding. J. Anim. Sci. 75: 934-940.
13. MEUWISSEN, T. H. E.; WOOLLIAMS, J. A., 1994: Maximizing genetic response in breeding schemes of dairy cattle with constraints on variance of response. J. Dairy Sci. 77: 1905-1916.
14. NIETO, B.; SALGADO, C.; TORO, M. A., 1986: Optimization of artificial selections response. J. Anim. Breed. Genet. 103: 199-204.
15. PRESS, W. H.; FLANNERY, B. P.; TEUKOLSKY, S. A.; VETTERLING, W. T., 1989: Numerical Recipes. Cambridge University Press, Cambridge, UK.
16. TORO, M. A.; NIETO, B., 1984: A simple method for increasing the response to artificial selection. Genet. Res. Camb. 44: 347-349.
17. TORO, M. A.; PÉREZ-ENCISO, M., 1990: Optimization of selection response under restricted inbreeding. Genet. Sel. Evol. 22: 93-107.
18. TORO, M. A.; SILIO, L.; 1992: An alternative to restricted BLUP based on mate selection. Livestock Production Science 32: 181-187.
19. TORO, M. A.; NIETO, B.; SALGADO, C., 1988: A note on minimization of inbreeding in small-scale selection programmes. Livest. Prod. Sci. 20: 317-323.
20. TORO, M. A.; SILIO. L.; PÉREZ-ENCISO. M., 1991: A note on the use of mate selection in closed MOET breeding schemes. Anim. Prod. 53: 403-406.
21. WOOLLIAMS, J. A., 1989: Modifications to MOET nucleus breeding schemes to improve rates of genetic progress and decrease rates of inbreeding in dairy cattle. Anim. Prod. 49: 1-14.
22. WRAY, N. R.; GODDARD, M. E., 1994: Increasing long-term response to selection. Genet. Sel. Evol. 26: 431-451.