Optimum number of crosses and progeny per cross in breeding self-fertilizing crops. III. Economic constraints

Summary

The optimum number of crosses and progeny per cross in breeding self-fertilizing crops are determined by an approach based on maximization of selection response. The total selection response is obtained by adding the individual responses from the two steps of selection: selection between crosses and selection within crosses. Optimum numbers and sizes of crosses are determined by testing capacity, number of selected crosses, number of selected lines from each selected cross, heritability, and the ratio of cost per line and cost per cross. In the case ‘selection of the best line out of the best cross’, the optimum number of crosses (1) exhibits maxima for increasing heritabilities (for any given fixed cost ratio and any total testing capacity), (2) increases with increasing total testing capacity (for any given fixed cost ratio and any heritability), (3) increases with increasing cost ratio (for any given fixed heritability and any total testing capacity), and (4) are larger for the calculation without cost constraints than for the calculation with cost constraints.

References

  1. Baker RJ (1984). Quantitative genetic principles in plant breeding. In: J.P. Gustafson (ed), Gene manipulation in plant improvement, Plenum Press, New York, 147–176.

    Google Scholar 

  2. Bernardo R (2003). Parental selection, number of breeding populations, and size of each population in inbred development. Theor.Appl.Genet. 107, 1252–1256.

    CAS  Article  Google Scholar 

  3. Burrows PM (1972). Expected selection differentials for directional selection. Biometrics 28, 1091–1100.

    CAS  Article  Google Scholar 

  4. Falconer DS (1984). Einführung in die Quantitative Genetik. UTB 1334, Verlag Ulmer, Stuttgart.

    Google Scholar 

  5. Huehn M (1996). Optimum number of crosses and progeny per cross in breeding self-fertilizing crops. I. General approach and first numerical results. Euphytica 91, 365–374.

    Article  Google Scholar 

  6. Huehn M (2005). Optimum number of crosses and progeny per cross in breeding self-fertilizing crops. II. Numerical results based on expected selection responses (special case and general case). Cereal Research Communications 33, 493–508.

    Article  Google Scholar 

  7. Pešek J (1986). Zuverlässigkeit der Prognosen der Auswahlgewinne und ihre Verifikation in der Pflanzenzüchtung. Arbeitstagung der ‘Arbeitsgemeinschaft der Saatzuchtleiter’, Bundesanstalt für alpenländische Landwirtschaft Gumpenstein, 53–61.

  8. Weber WE (1979). Number and size of cross progenies from a constant total number of plants manageable in a breeding program. Euphytica 28, 453–456.

    Article  Google Scholar 

  9. Wricke G, Weber WE (1986). Quantitative genetics and selection in plant breeding. W. de Gruyter, Berlin-New York.

    Book  Google Scholar 

  10. Yonezawa K, Yamagata H (1978). On the number and size of cross combinations in a breeding programme of self-fertilizing crops. Euphytica 27, 113–116.

    Article  Google Scholar 

Download references

Author information

Affiliations

Authors

Corresponding author

Correspondence to M. Huehn.

Rights and permissions

This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Reprints and Permissions

About this article

Cite this article

Huehn, M. Optimum number of crosses and progeny per cross in breeding self-fertilizing crops. III. Economic constraints. CEREAL RESEARCH COMMUNICATIONS 34, 903–910 (2006). https://doi.org/10.1556/CRC.34.2006.2-3.218

Download citation

Index-words

  • optimum allocation of resources
  • maximization of selection response
  • consideration of costs
  • testing capacity