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Asymmetrical correlated responses to selection under an infinitesimal genetic model

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Summary

Asymmetry in correlated responses to selection is expected when more than one cycle of selection is practised due to changes in genetic parameters produced by selection. In large populations, under the infinitesimal model these changes are due to linkage disequilibrium generated by selection and not to gene frequency changes. This study examines the conditions under which asymmetrical correlated responses are to be expected when an infinitesimal model is considered. Asymmetrical correlated responses in two traits in respect to which trait is selected are expected if the two traits have different heritabilities. Predicted asymmetry increases with the absolute value of the genetic correlation between the two traits, the difference between the two heritabilities, the intensity of selection and the number of generations of selection. Linkage disequilibrium generated by selection should be taken into account in explaining asymmetrical correlated responses observed in selection experiments.

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References

  • Abplanalp H, Ogasawara FX, Asmundson VS (1962) Influence of selection for body weight at different ages on growth of turkeys. Br Poult Sci 4:71–82

    Google Scholar 

  • Atchley WR, Rutledge JJ, Cowley DE (1982) A multivariate statistical analysis of direct and correlated response to selection in the rat. Evolution 36:677–698

    Google Scholar 

  • Baker RL, Cox EH, Carter AH (1984) Direct and correlated responses to selection for weaning weight, post-weaningw weight gain and six-week weight in mice. Theor Appl Genet 67:113–122

    Google Scholar 

  • Baptist R, Robertson A (1976) Asymmetrical responses to automatic selection for body size in Drosophila melanogaster. Theor Appl Genet 47:209–213

    Google Scholar 

  • Bell AE, McNary HW (1963) Genetic correlation and asymmetry of the correlated response from selection for increased body weight of Tribolium in two environments. In: Proc XI Int Congr Genet. The Hague, p 256

  • Bohren BB, Hill WG, Robertson A (1966) Some observations on asymmetrical correlated responses to selection. Genet Res 7:44–57

    Google Scholar 

  • Bradford GE (1969) Genetic control of ovulation rate and embryo survival in mice. I. Response to selection. Genetics 61:905–921

    Google Scholar 

  • Bulmer MG (1971) The effect of selection on genetic variability. Am Nat 105:201–211

    Google Scholar 

  • Bulmer MG (1980) The mathematical theory of quantitative genetics. Clarendon Press, Oxford

    Google Scholar 

  • Clayton GA, Knight GR, Morris JA, Robertson A (1957) An experimental check on quantitative genetic theory. III. Correlated responses. J Genet 55:171–180

    Google Scholar 

  • Falconer DS (1960) Selection of mice for growth on high and low planes of nutrition. Genet Res 1:91–113

    Google Scholar 

  • Falconer DS (1989) Introduction to quantitative genetics, 3rd edn. Longman, New York

    Google Scholar 

  • Festing MF, Nordskog AW (1967) Response to selection for body weight and egg weight in chickens. Genetics 55:219–231

    Google Scholar 

  • Fimland E (1979) The effect of selection on additive genetic parameters. Z Tierz Zuechtungsbiol 96:120–134

    Google Scholar 

  • Fisher RA (1918) The correlation between relatives on the supposition of Mendelian inheritance. Trans R Soc Edinburgh 52:399–433

    Google Scholar 

  • Fuente LF, San Primitivo F, Bayon Y (1986) Genetic correlation between litter size and body weight in mice. J Anim Breed Genet 103:249–254

    Google Scholar 

  • Gianola D (1982) Assortative mating and the genetic correlation. Theor Appl Genet 62:225–231

    Google Scholar 

  • Gomez-Raya L, Burnside EB (1990) The effect of repeated cycles of selection on genetic variance, heritability, and response. Theor Appl Genet 79:568–574

    Google Scholar 

  • Hanrahan JP, Hooper AC, McCarthy JC (1973) Effects of divergent selection for body weight on fibre number and diameter in two mouse muscles. Anim Prod 16:7–16

    Google Scholar 

  • McCarthy JC, Doolittle DP (1977) Effects of selection for independent changes in two highly correlated body weight traits of mice. Genet Res 29:133–145

    Google Scholar 

  • Mrode RA, Smith C, Thompson R (1990) Selection for rate and efficiency of lean gain in Hereford cattle. 1. Selection pressure applied and direct responses. Anim Prod 51:23–34

    Google Scholar 

  • Nielsen BVH, Andersen S (1987) Selection for growth on normal and reduced protein diets in mice. I. Direct and correlated responses for growth. Genet Res 50:7–15

    Google Scholar 

  • Nordskog AW, Tolman HS, Casey DW, Lin CY (1974) Selection in small populations of chickens. Poult Sci 53:1188–1219

    Google Scholar 

  • Siegel PB (1962) A double selection experiment for body weight and breast angle at eight weeks of age in chickens. Genetics 47:1313–1319

    Google Scholar 

  • Sorensen P, Ambrosen T, Petersen A (1980) Scandinavian selection and crossbreeding experiment with laying hens. IV. Results from the Danish part of the experiment. Acta Agric Scand 30:288–308

    Google Scholar 

  • Synenki RM, Eisen EJ, Matrone G, Robison OW (1972) Thyroid activity in lines of mice selected for large and small body weight. Can J Genet Cytol 14:483–494

    Google Scholar 

  • Tallis GM (1987) Ancestral covariance and the Bulmer effect. Theor Appl Genet 73:815–820

    Google Scholar 

  • Turelli M (1988) Population genetic models for polygenic variation and evolution. In: Weir BS, Eisen EJ, Goodman MM, Namkoong G (eds) Proc. 2nd Int Conf Quant Genet. Raleigh, N.C., pp 601–618

    Google Scholar 

  • Villanueva B, Kennedy BW (1990a) Effect of selection on genetic parameters of correlated traits. Theor Appl Genet 80:746–752

    Google Scholar 

  • Villanueva B, Kennedy BW (1990b) Efficiency of indirect selection with a finite number of loci. Proc. 4th World Congr Genet Appl Livest Prod XIII:265–268

    Google Scholar 

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Communicated by E. J. Eisen

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Villanueva, B., Kennedy, B.W. Asymmetrical correlated responses to selection under an infinitesimal genetic model. Theoret. Appl. Genetics 84, 323–329 (1992). https://doi.org/10.1007/BF00229490

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  • DOI: https://doi.org/10.1007/BF00229490

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