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Selection indices for desired relative genetic gains with inequality constraints

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Summary

A selection index which maximizes genetic gains in a desired direction has been previously suggested. We extend this index to the case where desired relative genetic gains are constrained to be not less or not greater than pre-specified levels. Further, we suggest an index for desired relative genetic gains constrained to be between certain levels. All these indices are obtained using quadratic programming techniques.

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References

  • Brascamp EW (1979) Selection index for desired gains. 30th Annual Meeting of the European Association of Animal Production, Harrogate, G 6.5

  • Essl A (1981) Index selection with proportional restriction: another view point. Z Tierz Züchtungsbiol 98:125–131

    Google Scholar 

  • Harville DA (1974) Optimal procedures for some constrained selection problems. J Am Stat Assoc 69:446–452

    Google Scholar 

  • Harville DA (1975) Index selection with proportionality constraints. Biometrics 31:223–225

    Google Scholar 

  • Hazel LN (1943) The genetic basis for constructing selection indexes. Genetics 28:476–490

    Google Scholar 

  • Itoh Y, Yamada Y (1986) Re-examination of selection index for desired gains. Genet Sel Evol 18:499–504

    Google Scholar 

  • Kempthorne O, Nordskog AW (1959) Restricted selection indices. Biometrics 15:10–19

    Google Scholar 

  • Lin CY (1978) Index selection for genetic improvement of quantitative characters. Theor Appl Genet 52:49–56

    Google Scholar 

  • Mallard J (1972) La theorie et le calcul des index de selection avec restrictions: synthese critique. Biometrics 28:713–735

    Google Scholar 

  • Pešek J, Baker RJ (1969) Desired improvement in relation to selection indices. Can J Plant Sci 49:803–804

    Google Scholar 

  • Rao CR (1962) Problems of selection with restrictions. J R Stat Soc Ser B 24:401–405

    Google Scholar 

  • Rao CR (1965) Problem of selection involving programming techniques. Proc IBM Sci Comp Symp Stat, White Plains, New York. IBM Data Processing Division, 29–51

    Google Scholar 

  • Rouvier R (1977) Mise au point sur le modèle classique d'estimation de la valeur génétique. Ann Genet Sel Anim 9:17–26

    Google Scholar 

  • Smith HF (1936) A discriminant function for plant selection. Ann Eugen 7:240–250

    Google Scholar 

  • Tallis GM (1962) A selection index for optimum genotype. Biometrics 18:120–122

    Google Scholar 

  • Tallis GM (1985) Constrained selection. Jpn J Genet 60:151–155; Corrigendum and addendum, Jpn J Genet 61: 183–184

    Google Scholar 

  • Yamada Y, Yokouchi K, Nishida A (1975) Selection index when genetic gains of individual traits are of primary concern. Jpn J Genet 50:33–41

    Google Scholar 

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Commincated by J. S. F. Barker

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Itoh, Y., Yamada, Y. Selection indices for desired relative genetic gains with inequality constraints. Theoret. Appl. Genetics 75, 731–735 (1988). https://doi.org/10.1007/BF00265596

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  • DOI: https://doi.org/10.1007/BF00265596

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