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Selection indices for non-linear profit functions.

M E Goddard1

  • 1Department of Tropical Veterinary Science, James Cook University of North Queensland, Queensland, Australia.

TAG. Theoretical and Applied Genetics. Theoretische Und Angewandte Genetik
|November 23, 2013
PubMed
Summary
This summary is machine-generated.

Linear selection indices can be optimized for non-linear animal merit, but the best approach depends on selection intensity and desired response over generations. Past indices offer limited optimization for specific selection scenarios.

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Area of Science:

  • Animal breeding and genetics
  • Quantitative genetics
  • Livestock economics

Background:

  • Traditional selection index theory assumes linear relationships between animal traits and overall merit.
  • However, animal merit and profitability can be non-linear functions of measurable traits.
  • Management decisions by farmers can influence the economic value of specific traits.

Purpose of the Study:

  • To evaluate the effectiveness of linear selection indices when animal merit is non-linear.
  • To determine how selection intensity and generational response impact optimal linear index design.
  • To provide guidance on calculating economic values considering farmer management decisions.

Main Methods:

  • Theoretical analysis of linear and non-linear selection index models.
  • Comparison of selection response under different selection intensities and timeframes.
  • Economic modeling incorporating management-dependent trait values.

Main Results:

  • Optimal linear selection indices are dependent on selection intensity and the number of generations for maximizing response.
  • Non-linear indices may yield lower selection response compared to the best linear index.
  • Previously proposed linear indices represent optimal solutions for specific, limited selection scenarios (very small or very large response).

Conclusions:

  • Linear selection indices remain viable for non-linear merit, but require careful optimization based on breeding goals.
  • The choice between linear and non-linear approaches depends on balancing selection response and complexity.
  • Accurate economic value calculation must integrate potential farmer management strategies to reflect true profitability.