Skip to main content
Log in

Genetic correlation and response to selection in simulated populations

I. Additive model

  • Published:
Theoretical and Applied Genetics Aims and scope Submit manuscript

Summary

Effects of truncation selection of a primary trait upon genetic correlation with a secondary trait were examined over 30 generations in genetic populations simulated by computer. Populations were 24 males and 24 females mated randomly with replacement; number of offspring was determined by intensity of selection. Each trait was controlled by 48 loci segregating independently, effects were equal at every locus, and gene frequency was arbitrarily set at 0.5 at each locus in the initial generation. All combinations of three genetic correlations, three intensities of selection, and three environmental variances were simulated. Gene action was additive. Genetic correlation was set by number of loci which affected both traits and was measured each generation as the product-moment correlation of genotypic values and estimated by two methods of combining phenotypic covariances between parent and offspring.

Genetic correlations in each offspring generation remained consistently near initial correlations for all environmental variances when fraction of offspring saved as parents was as large as one-half. When the fraction of offspring saved was as small as one-fifth, genetic correlations decreased but most rapidly with heritability high and after the 15th generation of selection. Truncation selection caused genetic correlation to decrease in those offspring selected to become parents of the next generation. Amount of reduction depended on heritability of the selected trait rather than on degree of truncation selection. Estimates of genetic correlation from phenotypic covariances between parent and offspring fluctuated markedly from real correlations in the small populations simulated.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Aitkin, M. A.: Correlation in a singly truncated bivariate normal population. Psychometrika 29, 263 (1964).

    Google Scholar 

  2. Brown, G. H.: An empirical study of the distribution of the sample genetic correlation coefficient. Biometrics 25, 63 (1969).

    Google Scholar 

  3. Fisher, R. A.: Statistical methods for research workers. 13th Ed. New York: Hafner Publ. Co. Inc. 1958.

    Google Scholar 

  4. Friars, G. W., B. B. Bohren, and H. E. McKean: Time trends in estimates of genetic parameters in a population of chickens subjected to multiple objective selection. Poult. Sci. 41, 1773 (1962).

    Google Scholar 

  5. Gill, J. L.: Effects of finite size on selection advance in simulated genetic populations. Aust. J. Biol. Sci. 18, 599 (1965).

    Google Scholar 

  6. Hazel, L. N.: A genetic basis for constructing selection indexes. Genetics 28, 476 (1943).

    Google Scholar 

  7. Lerner, I. M.: The genetic basis of selection. New York: John Wiley and Sons, Inc., 1958.

    Google Scholar 

  8. Mantel, N.: Corrected correlation coefficients when observation on one variable is restricted. Biometrics 22, 182 (1966).

    Google Scholar 

  9. Reeve, E. C. R.: The variance of the genetic correlation coefficient. Biometrics 11, 357 (1955).

    Google Scholar 

  10. Robertson, A.: The sampling variance of the genetic correlation coefficient. Biometrics 15, 469 (1959).

    Google Scholar 

  11. Scheinberg, E.: The sampling variance of the correlation coefficients estimated in genetic experiments. Biometrics 22, 187 (1966).

    Google Scholar 

  12. Tallis, G. M.: Sampling errors of genetic correlation coefficients calculated from analysis of variance and covariance. Aust. J. Stat. 1, 35 (1959).

    Google Scholar 

  13. Van Vleck, L. D., and C. R. Henderson: Empirical sampling estimates of genetic correlations. Biometrics 17, 359 (1961).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Michigan Agricultural Experiment Station Journal Article 4836. Part of North Central Regional Project NC-2.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Parker, R.J., McGilliard, L.D. & Gill, J.L. Genetic correlation and response to selection in simulated populations. Theoret. Appl. Genetics 39, 365–370 (1969). https://doi.org/10.1007/BF00290875

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00290875

Keywords

Navigation