Skip to main content
SpringerLink
Log in

Relationships between genotype x environment interaction and genetic correlation of the same trait measured in different environments

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

Summary

Relationships between genotype x environment interaction and genetic correlation of the same trait measured in different fixed environments are derived by comparing the variance-covariance structures of observations between a one-way multiple-trait linear model and a two-way single-trait mixed linear model. In the latter model, heterogeneity of interaction variances among environments and non-zero covariances among interactions are assumed, in addition to the heterogeneity of error variances and non-zero covariances between genetic-group effects and interactions that were accommodated in earlier work. The results are applicable to more than two environments and to unbalanced data. This paper is a generalization and a correction of earlier works.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Anderson RL, Bancroft TA (1952) Statistical theory in research. McGraw-Hill, New York

    Google Scholar 

  • Dickerson GE (1962) Implications of genetic-environmental interaction in animal breeding. Anim Prod 4:47–64

    Article  MATH  Google Scholar 

  • Falconer DS (1952) The problem of environment and selection. Am Nat 86:293–298

    Google Scholar 

  • Fernando RL, Knight SA, Gianola D (1984) On the method of estimating the genetic correlation between characters measured in different experimental units. Theor Appl Genet 67:175–178

    Google Scholar 

  • Graybill FA (1961) An introduction to linear statistical models. McGraw-Hill, New York

    Google Scholar 

  • Hartley HO, Searle SR (1969) A discontinuity in mixed model analysis. Biometrics 25:573–576

    Google Scholar 

  • Robertson A (1959) The sampling variance of the genetic correlation coefficient. Biometrics 15:469–485

    Google Scholar 

  • Scheffé H (1959) The analysis of variance. John Wiley, New York

    Google Scholar 

  • Searle SR (1971) Topics in variance component estimation. Biometrics 278:1–76

    Google Scholar 

  • Yamada Y (1962) Genotype by environment interaction and genetic correlation of the same trait under different environments. Jpn J Genet 37:498–509

    Google Scholar 

  • Yamada Y, Itoh Y, Sugimoto I (1988) Parametric relationships between genotype × environment interaction and genetic correlation when two environments are involved. Theor Appl Genet 76:850–854

    Google Scholar 

Download references

Author information

Author notes

  1. Y. Yamada

    Present address: Faculty of Veterinary Medicine and Animal Science, Universiti Pertanian Malaysia, 43400 UPM, Serdang, Selangor, Malaysia

Authors and Affiliations

  1. Department of Animal Science, Faculty of Agriculture, Kyoto University, 606, Kyoto, Japan

    Y. Itoh & Y. Yamada

Authors
  1. Y. Itoh
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Y. Yamada
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Communicated by J. S. F. Barker

Rights and permissions

Reprints and permissions

About this article

Cite this article

Itoh, Y., Yamada, Y. Relationships between genotype x environment interaction and genetic correlation of the same trait measured in different environments. Theoret. Appl. Genetics 80, 11–16 (1990). https://doi.org/10.1007/BF00224009

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00224009

Key words

Search

Navigation