Theoretical and Applied Genetics

, Volume 51, Issue 1, pp 1–3 | Cite as

Heritability of a linear combination of traits

  • C. Y. Lin
  • F. R. Allaire
Article

Summary

The heritability, hI2, of a linear combination of phenotypes, I, when defined as the ratio of the variance of the genetic index, σg⋆2*, to the variance of the index, σI2, is shown to be different from the square of the correlation, rHI2, between the index and an arbitrary linear combination of genetic effects, H. The gain in H fror selection on I is shown to be proportional to hI2. bHg⋆ for any index.

Key words

Selection Index Heritability 

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Literature

  1. Fisher, F.A.: The use of multiple measurements in taxonomic problems. Ann. Eugen. (Lond.) 7, 179–189 (1936)Google Scholar
  2. Hazel, L.N.: The genetic basis for constructing selection indexes. Genetics 28, 476–490 (1943)Google Scholar
  3. Henderson, C.R.: Selection index and genetic advance. Stat. Genetics and Plant Breeding, pp. 141–163. NAS-NRC Publication No. 982 (1963)Google Scholar
  4. Lush, J.L.: Animal Breeding Plans. 3rd ed., Iowa State University Press 1945Google Scholar
  5. Smith, H.F.: A discriminant function for plant selection. Ann. Eugen. (Lond.) 7, 240–250 (1936)Google Scholar

Copyright information

© Springer-Verlag 1977

Authors and Affiliations

  • C. Y. Lin
    • 1
    • 2
  • F. R. Allaire
    • 1
  1. 1.Department of Dairy ScienceOhio State University and Ohio Agricultural Research and Development CenterColumbusUSA
  2. 2.Department of Animal and Poultry ScienceUniversity of GuelphGuelphCanada

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