Skip to main content

Part of the book series: Plant Breeding ((PLBR))

Abstract

As we have already seen, most of those characters with which a plant breeder works vary continuously, and are controlled by several genes whose individual effects are too small to be detected by conventional Mendelian methods. Instead, the properties of these genes have to be inferred from analyses of the means and variances of appropriate generations or populations. We have already established, however, that the genes concerned obey the Mendelian laws of genetics, a premise which forms the basis of the models presented here.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Bjørnstad, Å., Skinnes, H. and Thoresen, K. (1993) Comparisons between doubled haploid lines produced by anther culture, the Hordeum bulbosum-method and lines produced by single seed descent in barley crosses. Euphytica, 66, 135–144.

    Article  Google Scholar 

  • Caligari, P.D.S. and Brown, J. (1986) The use of univariate cross prediction methods in the breeding of a clonally reproduced crop (Solarium tuberosum). Heredity, 57, 395–401.

    Article  Google Scholar 

  • Caligari, P.D.S., Powell, W. and Jinks, J.L. (1985) The use of doubled haploids in barley breeding. 2. An assessment of univariate cross prediction methods. Heredity, 54, 353–358.

    Article  Google Scholar 

  • Caligari, P.D.S., Powell, W. and Jinks, J.L. (1986) The detection of linkage using doubled haploids in barley, in Genetic Manipulation in Plant Breeding (eds W. Horn, C.J. Jensen, W. Odenbach and O. Schieder), W. de Gruyter, Berlin, pp. 287–289.

    Google Scholar 

  • Caligari, P.D.S., Powell, W. and Jinks, J.L. (1987) A comparison of inbred lines derived by doubled haploidy and single seed descent in spring barley (Hordeum vulgare). Annals of Applied Biology, 111, 667–675.

    Article  Google Scholar 

  • Cavalli, L.L. (1952) An analysis of linkage in quantitative inheritance, in Quantitative Inheritance (eds E.C.R. Reeve and C.H. Waddington), HMSO, London, pp. 135–144.

    Google Scholar 

  • Choo, T.M., Reinbergs, E. and Park, S.J. (1982) Comparison of frequency distributions of doubled haploid and single seed descent lines in barley. Theoretical and Applied Genetics, 61, 215–218.

    Google Scholar 

  • Cockerham, C.C. (1954) An extension of the concept of partitioning hereditary variance for analysis of covariances among relatives when epistasis is present. Genetics, 39, 859–882.

    PubMed  CAS  Google Scholar 

  • Courtois, B.L. (1993) Comparison of single seed descent and anther culture-derived lines of three single crosses in rice. Theoretical and Applied Genetics, 85, 625–631.

    Article  Google Scholar 

  • de Toledo, J.F.F., Pooni, H.S. and Jinks, J.L. (1984) Predicting the properties of second cycle hybrids by intercrossing random samples of recombinant inbred lines. Heredity, 53, 283–292.

    Article  PubMed  Google Scholar 

  • Engqvist, G.M. and Becker, H.C. (1993) Prediction of F6 line performance from F3 families in spring oil seed rape. I. Yield and other agronomic traits. Euphytica, 69, 141–147.

    Article  Google Scholar 

  • Falconer, D.S. (1989) Introduction to Quantitative Genetics, 3rd edn. Longman, Harlow.

    Google Scholar 

  • Fisher, R.A., Immer, F.R. and Tedin, O. (1932) The genetical interpretation of statistics of the third degree in the study of quantitative inheritance. Genetics, 17, 107–124.

    PubMed  CAS  Google Scholar 

  • Fisher, R.A. and Yates, F. (1953) Statistical Tables for Biological, Agricultural and Medical Research, 4th edn. Oliver & Boyd, Edinburgh.

    Google Scholar 

  • Gauch, H.G. Jr and Zobel, R.W. (1988) Predictive and postdictive success of statistical analyses of yield trials. Theoretical and Applied Genetics, 76, 1–10.

    Article  Google Scholar 

  • Hallauer, A.R. and Miranda, J.B. (1988) Quantitative Genetics in Maize Breeding, 2nd edn. Iowa State University Press, Ames, Iowa.

    Google Scholar 

  • Hayman, B.I. and Mather, K. (1955) The description of gene interactions in continuous variation. Biometrics, 11, 69–82.

    Article  Google Scholar 

  • Jenkins, M.T. (1934) Methods of estimating the perfomance of double-crosses in corn. Journal of the American Society of Agronomy, 26, 199–204.

    Article  Google Scholar 

  • Jinks, J.L. (1983) Biometrical genetics of heterosis, in Heterosis: Reappraisal of Theory and Practice, (ed. R. Frankel), Springer-Verlag, Berlin, pp. 1–46.

    Google Scholar 

  • Jinks, J.L., Chowdhury, M.K.U. and Pooni, H.S. (1985) Comparison of the inbred lines derived from a hybrid of tobacco (burley X flue cured) by dihaploidy and single seed descent. Heredity, 55, 127–133.

    Article  Google Scholar 

  • Jinks, J.L. and Jones, R.M. (1958) Estimation of the components of heterosis. Genetics, 43, 223–234.

    PubMed  CAS  Google Scholar 

  • Jinks, J.L. and Perkins, J.M. (1972) Predicting the range of inbred lines. Heredity, 28, 399–403.

    Article  PubMed  CAS  Google Scholar 

  • Jinks, J.L. and Pooni, H.S. (1976) Predicting the properties of recombinant inbred lines derived by single seed descent. Heredity, 36, 253–266.

    Article  Google Scholar 

  • Jinks, J.L. and Pooni, H.S. (1980) Comparing predictions of mean performance and environmental sensivity of recombinant inbred lines based on F3 and triple test cross families. Heredity, 45, 305–312.

    Article  Google Scholar 

  • Jinks, J.L. and Pooni, H.S. (1981a) Properties of pure-breeding lines produced by dihaploidy, single seed descent and pedigree breeding. Heredity, 46, 391–395.

    Article  Google Scholar 

  • Jinks, J.L. and Pooni, H.S. (1981b) Comparative results of selection in the early and late stages of an inbreeding programme. Heredity, 46, 1–7.

    Article  Google Scholar 

  • Kearsey, M.J. (1980) The efficiency of the North Carolina experiment III and the selfing, backcrossing series for estimating additive and dominance variation. Heredity, 45, 73–82.

    Article  Google Scholar 

  • Kearsey, M.J. (1993) Biometrical genetics in plant breeding, in Plant Breeding: Principles and Prospects (eds M.D. Hayward, N.O. Bosemark and I. Romagosa), Springer Science+Business Media Dordrecht, London, pp. 163–183.

    Google Scholar 

  • Kearsey, M.J. and Pooni, H.S. (1996) The Genetical Analysis of Quantitative Traits. Springer Science+Business Media Dordrecht, London.

    Google Scholar 

  • Kempthorne, O. (1957) An Introduction to Genetic Statistics. Wiley, New York.

    Google Scholar 

  • Kempthorne, O. and Curnow, R.N. (1961) The partial diallel cross. Biometrics, 17, 229–250.

    Article  Google Scholar 

  • Kolster, P., van Eeuwijk, F.A. and van Gelder, W.M.J. (1991) Additive and epistatic effects of allelic variation at the high molecular weight glutenin subunit loci in determining the bread-making quality of breeding lines of wheat. Euphytica, 55, 277–285.

    Article  Google Scholar 

  • Lethenborg, P., Li, P.W., Sorensen, H., Hill, J., Stølen, O., Rahman, M.H. and Poulsen, M.H. (1995) Inheritance of glucosinolates in oilseed rape, in Rapeseed Today and Tomorrow. Proceedings of the 9th International Rapeseed Congress, Cambridge, UK, 4-7 July 1995, Volume 3, pp. 726–728.

    Google Scholar 

  • Mather, K. and Jinks, J.L. (1982) Biometrical Genetics, 3rd edn. Springer Science+Business Media Dordrecht, London.

    Google Scholar 

  • Mayo, O. (1987) The Theory of Plant Breeding, 2nd edn. Clarendon Press, Oxford.

    Google Scholar 

  • Melchinger, A.E., Geiger, H.H., Seitz, G. and Schmidt, G.A. (1987) Optimum prediction of three-way crosses from single cross in forage maize (Zea mays L.). Theoretical and Applied Genetics, 74, 339–345.

    Article  Google Scholar 

  • Otsuka, Y., Eberhart, S.A. and Russell, W.A. (1972) Comparison of prediction formulas for maize hybrids. Crop Science, 12, 325–331.

    Article  Google Scholar 

  • Pooni, H.S. and Jinks, J.L. (1978) Predicting the properties of recombinant inbred lines derived by single seed descent for two or more characters simultaneously. Heredity, 40, 349–361.

    Article  Google Scholar 

  • Ramsay, L.D., Bradshaw, J.E. and Kearsey, M.J. (1994) The inheritance of quantitative traits in Brassica napus ssp. rapifera (swedes): augmented triple test cross analysis of yield. Heredity, 73, 84–91.

    Article  Google Scholar 

  • Rücker, B. (1993) Genetische Analyse von Qualitäts-und Ertragsmerkmalen bei Winterraps (Brassica napus L.) unter besonderer Berüksichtigung des Glucosinolatgehaltes der Samen. Ph.D. Thesis, University of Göttingen.

    Google Scholar 

  • SAS Institute Inc. (1990) SAS/IML Software; Usage and Reference, 1st edn, version 6. Cary, North Carolina.

    Google Scholar 

  • Snape, J.W. (1976) A theoretical comparison of diploidised haploids and single seed descent populations. Heredity, 36, 275–277.

    Article  Google Scholar 

  • Snape, J.W. (1982) Predicting the frequencies of transgressive segregants for yield and yield components in wheat. Theoretical and Applied Genetics, 62, 127–134.

    Article  Google Scholar 

  • Snape, J.W. and Simpson, E. (1981) The genetical expectations of doubled haploid lines derived from different filial generations. Theoretical and Applied Genetics, 60, 123–128.

    Article  Google Scholar 

  • Snape, J.W., Simpson, E., Parker, B.B., Friedt, W. and Foroughi-Wehr, B. (1986) Criteria for the selection and use of doubled haploid systems in cereal breeding programmes, in Genetic Manipulation in Plant Breeding (eds W. Horn, C.C. Jensen, W. Odenbach, and O. Scheider), W. de Gruyter, Berlin, pp. 217–229.

    Google Scholar 

  • Snedecor, G.W. and Cochran, W.J. (1989) Statistical Methods, 8th edn. Iowa State University Press, Ames, Iowa.

    Google Scholar 

  • Sprague, G.F. (1983) Heterosis in maize: theory and practice, in Heterosis: Reappraisal of Theory and Practice (ed. R. Frankel), Springer-Verlag, Berlin, pp. 47–70.

    Google Scholar 

  • van der Veen, J.H. (1959) Tests of non-allelic interaction and linkage for quantitative characters in generations derived from two diploid lines. Genetica, 30, 201–232.

    Article  Google Scholar 

  • Werner, C.P., Setter, A.P., Smith, B.M., Kubba, J. and Kearsey, M.J. (1989) Performance of recombinant inbred lines in Brussels sprouts (Brassica oleracea var gemmifera). Theoretical and Applied Genetics, 77, 527–534.

    Article  Google Scholar 

  • Werner, C.P., Smith, B.M., Godwin, R.M. and Kearsey, M.J. (1991) The feasibility of producing inbred lines rather than F1 hybrid cultivars in Brussels sprouts (Brassica oleracea var gemmifera): an assessment of recombinant inbred lines. Annals of Applied Biology, 119, 331–337.

    Article  Google Scholar 

  • Whitehouse, R.N.H., Thompson, J.B. and Do Valle Ribeiro, M.A.M. (1958) Studies on the breeding of self-pollinating cereals. 2. The use of a diallel cross analysis in yield prediction. Euphytica, 7, 147–169.

    Article  Google Scholar 

  • Wricke, G. and Weber, W.E. (1986) Quantitative Genetics and Selection in Plant Breeding, W. de Gruyter, Berlin.

    Book  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1998 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Hill, J., Becker, H.C., Tigerstedt, P.M.A. (1998). Genetic models and their predictive value. In: Quantitative and Ecological Aspects of Plant Breeding. Plant Breeding. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5830-5_2

Download citation

  • DOI: https://doi.org/10.1007/978-94-011-5830-5_2

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6463-7

  • Online ISBN: 978-94-011-5830-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics