Skip to main content
Log in

Computer simulation of family selection schemes suitable for kale (Brassica oleracea L.), involving half-sib, full-sib and selfed families

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

Summary

Three recurrent selection schemes suitable for kale (Brassica oleracea L.), involving half-sib (HS), full-sib (FS) and selfed (S) families, were compared by computer simulation. All combinations of 6, 12 and 24 families selected, out of 120 and 240 assessed, were investigated for a range of genetical models. Selection was simulated for 20 generations from an initial allele frequency of 0.05 and for 16 generations from an initial frequency of 0.20. With an initial frequency of 0.05 there was a serious loss of desired alleles ranging from 0.31 out of 20 for the HS scheme with 24 out of 240 families selected to 9.19 for the S scheme with 6 out of 120 families selected. It was concluded that if as many as 20 cultivars were included in the initial population the selection scheme should be chosen to minimise the loss. With an initial frequency of 0.20 there were no losses with 12 and 24 families selected in the HS and FS schemes respectively, and the highest loss was 2.88 for the S scheme with 6 out of 120 families selected. It was concluded that if as few as five cultivars were included in the initial population a compromise between the initial response to selection and the loss of desired alleles should be sought. Selecting 6, 12 and 24 families for the HS, FS and S schemes respectively, resulted in average relative responses per generation of 2.28, 2.74 and 2.76, respectively for the first five generations, and losses of 0.22, 0.13 and 0.35, respectively after 16 generations. Practical considerations favour the FS scheme over the S scheme.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Bradshaw JE, Mackay GR (1981) Kale population improvement and cultivar production: In: Gallais A (ed) Quantitative genetics and breeding methods. Eucarpia Proc 4th Meeting Sec Biomet Plant Breed, pp 71–76

  • Choo TM, Kannenberg LW (1979a) Relative efficiencies of population improvement methods in corn: a simulation study. Crop Sci 19:179–185

    Google Scholar 

  • Choo TM, Kannenberg LW (1979b) Changes in gene frequency during mass, modified ear-to-row, and S1 selection: a simulation study. Crop Sci 19:503–509

    Google Scholar 

  • Fraser A, Burnell D (1970) Computer models in genetics. McGraw-Hill, New York

    Google Scholar 

  • Hallauer AR, Miranda JB (1981) Quantitative genetics in maize breeding. Iowa State University Press, Ames Iowa

    Google Scholar 

  • Nguyen HT, Sleper DA (1983) Theory and application of half-sib matings in forage grass breeding. Theor Appl Genet 64:187–196

    Google Scholar 

  • Taylor JP (1982) Carbon dioxide treatment as an effective aid to the production of selfed seed in kale and Brussels sprouts. Euphytica 31:957–964

    Google Scholar 

  • Wichmann BA, Hill ID (1982) An efficient and portable pseudo-random number generator. Appl Stat 31:188–190

    Google Scholar 

  • Wright AJ (1980) The expected efficiencies of half-sib, testcross and S1 progeny testing methods in single population improvement. Heredity 45:361–376

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by Å. Gustafsson

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bradshaw, J.E. Computer simulation of family selection schemes suitable for kale (Brassica oleracea L.), involving half-sib, full-sib and selfed families. Theoret. Appl. Genetics 68, 503–508 (1984). https://doi.org/10.1007/BF00284998

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00284998

Key words

Navigation