Summary
A genetic framework was developed for the interpretation of statistical parameters estimated from a diallel experiment among a fixed set of lines. These included average direct genetic, average maternal genetic, general combining ability, reciprocal, and line and specific direct and maternal heterotic effects. The genetic model is based on direct and maternal additive and dominance genetic effects as would be expected in animal species. The model assumes that dominance is the underlying basis of heterosis. As an example, litter size at birth was analyzed from a 5 × 5 diallel cross with mice.
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References
Alenda, R.; Martin, T.G. (1981): Estimation of genetic and maternal effects in crossbred cattle of Angus, Charolais and Hereford parentage. III. Optimal breed composition of crossbreds. J. Anim. Sci. 53, 347–353
Alenda, R.; Martin, T.G.; Lasley, J.F.; Ellersieck, M.R. (1980): Estimation of genetic and maternal effects in crossbred cattle of Angus, Charolais and Hereford parentage. I. Birth and weaning weights. J. Anim. Sci. 50, 226–234
Carbonell, E.A.; Nyquist, W.E.; Bell, A.E. (1983): Sex-linked and maternal effects in the Eberhart-Gardner general genetics model. Biometrics (in press)
Casas, D.E.; Wellhausen, E.J. (1968): Diveridad genetica y heterosis. Fitotec. Latinoam. 5, 53–61
Dickerson, G.E. (1969): Experimental approaches to utilizing breed resources. Anim. Breed. Abstr. 37, 191–202
Dickerson, G.E. (1973): Inbreeding and heterosis in animals. In: Proc. Anim. Breed. Genet. Symp. in Honor of Dr. Jay L. Lush. pp. 54–77. Am. Soc. Anim. Sci. Champaign, Illinois
Dillard, E.U.; Rodriquez, O.; Robison, O.W. (1980): Estimation of additive and nonadditive direct and maternal genetic effects from crossbreeding beef cattle. J. Anim. Sci. 50, 653–663
Eberhart, S.A.; Gardner, C.O. (1966): A general model for genetic effects. Biometrics 22, 864–881
Eisen, E.J. (1978): Single-trait and antagonistic index selection for litter size and body weight in mice. Genetics 88, 781–811
Eisen, E.J.; Bohren, B.B.; McKean, H.E. (1966): Sex-linked and maternal effects in the diallel cross. Aust. J. Biol. Sci. 19, 1061–1071
Falconer, D.S. (1981): Introduction to quantitative genetics, 2nd edn. New York: Longman Inc.
Gardner, C.O.; Eberhart, S.A. (1966): Analysis and interpretation of the variety cross diallel and related populations. Biometrics 22, 439–452
Gowe, R.S.; Fairfull, R.W. (1982): Heterosis in egg-type chickens. In: 2nd World Congress on Genetics Applied to Livestock Production 6, 228–242
Gregory, K.E.; Cundiff, L.V.; Koch, R.M.; Laster, D.B.; Smith, G.M. (1978): Heterosis and breed maternal and transmitted effects in beef cattle. I. Preweaning traits. J. Anim. Sci. 47, 1031–1041
Griffing, B. (1956): Concept of general and specific combining ability in relation to diallel crossing systems. Aust. J. Biol. Sci. 9, 463–493
Hallauer, A.R.; Miranda, J.B., Fo. (1981): Quantitative genetics in maize breeding. 10. Heterosis, pp. 337–373. Ames: Iowa State University Press
Harvey, W.R. (1975): Least squares analysis of data with unequal subclass numbers, U.S.D.A., A.R.S., H-4
Henderson, C.R. (1948): Estimation of general, specific and maternal combining ability in crosses among inbred lines of swine. Ph.D. Thesis, Ames, IA: Iowa State University Library
Hill, W.G. (1971): Theoretical aspects of crossbreeding. Ann. Génét. Sel. Anim. 3, 23–34
Kinghorn, B. (1980): The expression of “recombination loss” in quantitative traits. Z. Tierz. Züchtungsbiol. 97, 138–143
Kinghorn, B. (1982): Genetic effects in crossbreeding. I. Models of merit. Z. Tierz. Züchtungsbiol. 99, 59–68
McGloughlin, P. (1980): The relationship between heterozygosity and heterosis in reproductive traits in mice. Anim. Prod. 30, 69–77
Moav, R. (1966): Specialized sire and dam lines. I. Economic evaluation of crossbreds. Anim. Prod. 8, 193–202
Robison, O.W.; Kelley, M.G.; McDaniel, B.T.; McDowell, R.E. (1980): Genetic parameters of body size in purebred and crossbred dairy cattle. J. Dairy Sci. 63, 1887–1899
Sheridan, A.K. (1980): A new explanation for egg production heterosis in crosses between White Leghorns and Australorps. Br. Poult. Sci. 21, 85–88
Sheridan, A.K. (1981): Crossbreeding and heterosis. Anim. Breed. Abstr. 49, 131–144
Sprague, G.F.; Tatum, L.A. (1942): General vs. specific combining ability in single crosses of corn. J. Am. Soc. Agron. 34, 923–932
Stewart, T.S.; Long, C.R.; Cartwright, T.C. (1980): Characterization of cattle of a five-breed diallel. III. Puberty in bulls and heifers. J. Anim. Sci. 50, 808–820
Vencovsky, R. (1970): Alguns aspectos teóricos e aplicodos relatives a cruzamentos dialelicos de variedades. Tese de Livre-Docencia, ESALQ-USP, Piracicaba, Brazil
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Communicated by D. Van Vleck
Paper no. 8518 of the Journal Series of the North Carolina Agricultural Research Service, Raleigh
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Eisen, E.J., Hörstgen-Schwark, G., Saxton, A.M. et al. Genetic interpretation and analysis of diallel crosses with animals. Theoret. Appl. Genetics 65, 17–23 (1983). https://doi.org/10.1007/BF00276256
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DOI: https://doi.org/10.1007/BF00276256