Selection response in finite populations

Genetics

Volumn 144, Issue 4, 1996, Pages 1961-1974

  Wei, Ming ^a   Caballero, Armando ^a   Hill, William G ^a  

^a UNIVERSITY OF EDINBURGH   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; GENE LINKAGE DISEQUILIBRIUM; GENETIC DRIFT; GENETIC MODEL; GENETIC SELECTION; POPULATION GENETICS; PRIORITY JOURNAL;

ANIMALS; GENETICS, POPULATION; HUMANS; MODELS, GENETIC; MODELS, THEORETICAL; SELECTION (GENETICS);

EID: 0030476973     PISSN: 00166731     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (58)

1. BELONSKY, G. M., and B. W. KENNEDY, 1988 Selection on individual phenotype and best linear unbiased predictor of breeding value in a closed swine herd. J. Anim. Sci. 66: 1124-1131.
2. BRISBANE, J. R., and J. P. GIBSON, 1995 Balancing selection response and rate of inbreeding by including genetic relationships in selection decisions. Theor. Appl. Genet. 91: 412-431.
3. BULMER, M. G., 1971 The effect selection on genetic variability. Am. Nat. 105: 201-211.
4. BÜNGER, L., and G. HERRENDÖRFER, 1994 Analysis of a long-term selection experiment with an exponential model. J. Anim. Breed. Genet. 111: 1-13.
5. CABALLERO, A., 1994 Developments in the prediction of effective population size. Heredity 73: 657-679.
6. CABALLERO, A., and P. D. KEIGHTLEY, 1994 A pleiotropic nonadditive model of variation in quantitative traits. Genetics 138: 883-900.
7. CABALLERO, A., P. D. KEIGHTLEY and W. G. HILL, 1995 Accumulation of mutations affecting body weight in inbred mouse lines. Genet. Res. 65: 145-149.
8. CABALLERO, A., E. SANTIAGO and M. A. TORO, 1996a Systems of mating to reduce inbreeding in selected populations. Anim. Sci. 62: 431-442.
9. CABALLERO, A., M. WEI and W. G. HILL, 1996b Survival rates of mutant genes under artificial selection using individual and family information. J. Genet. (in press).
10. CHEVALET, C., 1994 An approximate theory of selection assuming a finite number of quantitative trait loci. Genet. Sel. Evol. 26: 379-400.
11. CLAYTON, G., and A. ROBERTSON, 1955 Mutation and quantitative variation. Am. Nat. 89: 151-158.
12. COCKERHAM, C. C., and H. TACHIDA, 1987 Evolution and maintenance of quantitative genetic variation by mutations. Proc. Natl. Acad. Sci. USA 84: 6205-6209.
13. DEMPFLE, L., 1974 A note on increasing the limit of selection through selection within families. Genet. Res. 24: 127-135.
14. DEKKERS, J. C. M., 1992 Asymptotic response to selection on best linear unbiased predictors of breeding values. Anim. Prod. 54: 351-360.
15. FALCONER, D. S., and T. F. C. MACKAY, 1996 Introduction to Quantitative Genetics, Ed. 4. Longman, London.
16. FRANKHAM, R., 1980 Origin of genetic variation in selection lines, pp. 56-68 in Selection Experiments in Laboratory and Domestic Animals, edited by A. ROBERTSON. Commonwealth Agricultural Bureaux, Slough.
17. GOMEZ-RAYA, L., and E. B. BURNSIDE, 1990 Linkage disequilibrium effects on genetic variance, heritability and response after repeated cycles of selection. Theor. Appl. Genet. 79: 568-574.
18. GRUNDY, B., A. CABALLERO, E. SANTIAGO and W. G. HILL, 1994 A note on using biased parameter values and non-random mating to reduce rates of inbreeding in selection programmes. Anim. Prod. 59: 465-468.
19. HEATH, S. C., G. BULFIELD, R. THOMPSON and P. D. KEIGHTLEY, 1995 Rates of change of genetic parameters of body weight in selected mouse lines. Genet. Res. 66: 19-25.
20. HECK, A., 1993 Introduction to Maple. Springer-Verlag, New York.
21. HENDERSON, C. R., 1975 Best linear unbiased estimation and prediction under a selection model. Biometrics 31: 423-447.
22. HENDERSON, C. R., 1982 Best linear unbiased prediction in populations that have undergone selection, pp. 191-201 in Proceedings of the World Congress of Sheep and Beef Cattle Breeding, New Zealand, Vol. 1, edited by R. A. BARTON and W. C. SMITH. Dunmore Press, Palmerston North, New Zealand.
23. HILL, W. G., 1976 Order statistics of correlated variables and implications in genetic selection programmes. Biometrics 32: 889-902.
24. HILL, W. G., 1982 Predictions of response to artificial selection from new mutations. Genet. Res. 40: 255-278.
25. HILL, W. G., 1985 Effects of population size on response to short and long term selection. J. Anim. Breed. Genet. 102: 161-173.
26. HILL, W. G., and P. D. KEIGHTLEY, 1988 Interaction between molecular and quantitative genetics, pp. 41-55 in Advances in Animal Breeding - Symposium in Honour of Professor R. D. POLITIEK, edited by S. KORVER, H. A. M. VAN DER STEEN, J. A. M. ARENDONK, H. BAKKER, E. W. BRASCAMP and J. DOMMERHOLT. Pudoc. Wageningen, Netherlands.
27. HILL, W. G., and J. RASBASH, 1985 Models of long term artificial selection in finite population. Genet. Res. 48: 41-50.
28. HILL, W. G., A. CABALLERO and L. DEMPFLE, 1996 Prediction of response to selection within families. Genet. Sel. Evol. (in press).
29. KEIGHTLEY, P. D., and W. G. HILL, 1987 Directional selection and variation in finite populations. Genetics 117: 573-582.
30. KEIGHTLEY, P. D., and W. G. HILL, 1992 Quantitative genetic variation in body size of mice from new mutations. Genetics 131: 693-700.
31. LATTER, B. D. H., 1966 Selection for a threshold character in Drosophila. 2. Homeostatic behaviour on relaxation of selection. Genet. Res. 8: 205-218.
32. LYNCH, M., 1988 The rate of polygenic mutation. Genet. Res. 51: 137-148.
33. LYNCH, M., and W. G. HILL, 1986 Phenotypic evolution by neutral mutation. Evolution 40: 915-935.
34. LUSH, J. L., 1947 Family merit and individual merit as bases for selection. Am. Nat. 81: 241-261, 362-379.
35. MEUWISSEN, T. H. E., 1990 Reduction of selection differentials in finite populations with a nested full-half sib family structure. Biometrics 47: 195-203.
36. NICHOLAS, F. W., and A. ROBERTSON, 1980 The conflict between natural and artificial selection in finite populations. Theor. Appl. Genet. 56: 57-64.
37. PEARSON, K., 1903 Mathematical contributions to the theory of evolution. XI. On the influence of natural selection on the variability and correlation of organs. Phil. Trans. R. Soc. Lond. A 200: 1-66.
38. PRESS, W. H., S. A. TEUKOLSKY, W. T. VETTERLING and B. P. FLANNERY, 1992 Numerical Recipes in C, Ed. 2. Cambridge University Press, Cambridge.
39. RAWLINGS, J. O., 1976 Order statistics for a special class of unequally correlated multinomal variates. Biometrics 32: 875-887.
40. ROBERTSON, A., 1960 A theory of limits in artificial selection. Proc. R. Soc. Lond. B. 153: 234-249.
41. ROBERTSON, A., 1961 Inbreeding in artificial programmes. Genet. Res. 2: 189-194.
42. QUINTON, M., C. SMITH and M. E. GODDARD, 1992 Comparison of selection methods at the same level of inbreeding. J. Anim. Sci. 70: 1060-1067.
43. SANTIAGO, E., and A. CABALLERO, 1995 Effective size of populations under selection. Genetics 139: 1013-1030.
44. TORO, M. A., and M. PEREZ-ENCISO, 1990 Optimization of selection response under restricted inbreeding. Genet. Sel. Evol. 22: 93-107.
45. VERRIER, E., J. J. COLLEAU and J. L. FOULLEY, 1991 Methods for predicting response to selection in small populations under additive genetic models; a review. Livest. Prod. Sci. 29: 93-114.
46. VERRIER, E., J. J. COLLEAU and J. L. FOULLEY, 1993 Long-term effects of selection based on the animal model BLUP in a finite population. Theor. Appl. Genet. 87: 446-454.
47. VILLANUEVA, B., N. R. WRAY and R. THOMPSON, 1993 Prediction of asymptotic rates of response from selection on multiple traits using univariate and multivariate best linear unbiased predictors. Anim. Prod. 57: 1-13.
48. VILLANUEVA, B., J. A. WOOLLIAMS and G. SIMM, 1994 Strategies for controlling rates of inbreeding in adult MOET nucleus schemes for beef cattle. Genet. Sel. Evol. 26: 517-535.
49. WEBER, K. E., and L. T. DIGGINS, 1990 Increased selection response in larger populations. II. Selection for ethanol vapor resistance in Drosophila melanogaster at two population sizes. Genetics 125: 585-597.
50. WOOLLIAMS, J. A., N. R. WRAY and R. THOMPSON, 1993 Prediction of long term contributions and inbreeding in populations undergoing mass selection. Genet. Res. 62: 231-242.
51. WRAY, N. R., and M. E. GODDARD, 1994 Increasing long-term response to selection. Genet. Sel. Evol. 26: 431-451.
52. WRAY, N. R., and W. G. HILL, 1989 Asymptotic rates of response from index selection. Anim. Prod. 49: 217-227.
53. WRAY, N. R., and R. THOMPSON, 1990 Prediction of rates of inbreeding in selected populations. Genet. Res. 55: 41-54.
54. WRAY, N. R., J. A. WOOLLIAMS and R. THOMPSON, 1994 Prediction of rates of inbreeding in populations undergoing index selection. Theor. Appl. Genet. 87: 878-892.
55. YOO, B. H., 1980a Long-term selection for a quantitative character in large replicate populations of Drosophila melanogaster. 1. Response to selection. Genet. Res. 35: 1-17.
56. YOO, B. H., 1980b Long-term selection for a quantitative character in large replicate populations of Drosophila melanogaster. 2. Lethals and visible mutants with large effects. Genet. Res. 35: 19-31.
57. ZENG, Z. B., and C. C. COCKERHAM, 1993 Mutation models and quantitative genetic variation. Genetics 133: 729-736.
58. ZENG, Z. B., and W. G. HILL, 1986 The selection limit due to the conflict between truncation and stabilising selection with mutation. Genetics 114: 1313-1328.