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Predicting mean and variance of all possible lines and hybrids from designs with partially inbred progenies

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Abstract

Two-factor mating designs at consecutive Sn and S(n+1) levels (S0 and S1 S1 and S2, or F2 and F3) allow estimation of all components of the variation among homozygous lines and F1 hybrids that can be derived from a given population. They also allow for the prediction of the mean of these lines and single-cross hybrids. Some tests for the presence of epistasis are possible at the levels of means and of variances. Such mating designs can be very useful for predicting the value of the best possible lines or the best possible F1 hybrids when it is difficult to produce, at an experimental level for exploratory purposes, either lines or hybrids.

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References

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

    Google Scholar 

  • Cockerham CC (1983) Covariances of relatives from self-fertilization. Crop Sci 23:1177–1180

    Google Scholar 

  • Cornelius PL (1975) Identity coefficients and covariances between relatives in a parent-offspring inbreeding system. Theor Appl Genet 46:201–212

    Google Scholar 

  • Cornelius PL (1988) Properties of components of covariance of inbred relatives and their estimates in a maize population. Theor Appl Genet 75:701–711

    Google Scholar 

  • Cornelius PL, Dudley JW (1975) Theory of inbreeding and covariances between relatives under full-sib mating in diploids. Biometrics 31:169–187

    Google Scholar 

  • Cornelius PL, Dudley JW (1976) Genetic variance components and predicted response to selection under selfing and full-sib mating in a maize population. Crop Sci 16:333–339

    Google Scholar 

  • Cornelius PL, Van Sanford DA (1988) Quadratic components of Covariance of inbred relatives and their estimation in naturally selfpollinated species. Crop Sci 28:1–7

    Google Scholar 

  • Gallais A (1970) Covariances entre apparentés quelconques avec linkage et épistasie. Ann Genet Sél Anim 2:281–310

    Google Scholar 

  • Gallais A (1974) Covariances between arbitrary relatives with linkage and epistasis in the case of linkage disequilibrium. Biometrics 30:429–446

    Google Scholar 

  • Gallais A (1976) An experimental check of quantitative genetics on an autotetraploid plant, Medicago sativa, L., with special reference to the identity by descent relationship. In: Proc Int Conf Quant Genet, Ames, Iowa, Pollak E, Kempthorne O, Bacley TB, Iowa Univ Press, pp 519–540

  • Gallais A (1988) Prediction of mean and variance of hybrids and of lines that can be derived from a random mating population. Theor Appl Genet 75:625–627

    Google Scholar 

  • Gallais A (1990 a) Théorie de la sélection en amélioration des plantes. Masson Ed, Paris

    Google Scholar 

  • Gallais A (1990 b) Application of the concepts of test value and varietal value to the study of genetics in recurrent selection: a synthesis. Euphytica 48:197–207

    Google Scholar 

  • Gallais A (1990 c) Quantitative genetics of doubled haploid populations and application to the theory of line development. Genetics 124:199–206

    Google Scholar 

  • Gillois M (1964) La relation d'identité en génétique. Thése de la Faculté des Sciences, Paris

  • Harris DL (1964) Genotypic covariances between inbred relatives. Genetics 50:1319–1348

    Google Scholar 

  • Hayman BI (1958) The separation of epistatic from additive and dominance variation in generation means. Heredity 12:371–390

    Google Scholar 

  • Kempthorne O (1957) An introduction to quantitative genetics. John Wiley and Son, NewYork

    Google Scholar 

  • Wright AJ, Cockerham CC (1986) Covariances of relatives and selection response in generations of selfing from an outcrossed base population. Theor Appl Genet 72:689–694

    Google Scholar 

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Communicated by A. R. Hallauer

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Naciri, Y., Gallais, A. Predicting mean and variance of all possible lines and hybrids from designs with partially inbred progenies. Theoret. Appl. Genetics 89, 693–697 (1994). https://doi.org/10.1007/BF00223707

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  • DOI: https://doi.org/10.1007/BF00223707

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