Abstract
The versatility of mixed model procedures in investigating large, unbalanced sets of genotype by environment data is illustrated on an historic set of yields from a South Australian oat evaluation program. Information on specific genotypic traits is included in the analysis in order to isolate unexplained genotype by environment interaction.
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References
Aitken, M., 1987. Modelling variance heterogeneity in normal regression using GLIM. Appl Stat 36: 332–339.
Baker, R.J., 1996. Recent research on genotype-environmental interaction. In: G. Scoles & B. Rossnagel (Eds.), Proceedings of V International Oat Conference and VII International Barley Genetics Symposium, pp. 235–239.
Brown, P.D., R.I.H. McKenzie & K. Mi Kaelsen, 1980. Agronomic, genetic and cytologic evaluation of a vigorous new semi-dwarf oat. Crop Sci 20: 303–306.
Cochran, W.G. & G.M. Cox, 1957. Experimental Designs. 2nd ed. Wiley Press, New York.
Coffman, F.A., 1961 (Ed.). Oats and Oat Improvement. American Society of Agronomy, Madison, Wisc.
Cullis, B.R. & A.C. Gleeson, 1991. Spatial analysis of field experiments – an extension to two dimensions. Biometrics 47: 1449–1460.
Cullis, B.R., F.M. Thomson, J.A. Fisher, A.R. Gilmour & R. Thompson, 1996a. The analysis of the NSW wheat variety database. I. Modelling trial error variance. Theor Appl Genet 92: 21–27.
Cullis, B.R., F.M. Thomson, J.A. Fisher, A.R. Gilmour & R. Thompson, 1996b. The analysis of the NSW wheat variety database. II. Variance component estimation. Theor Appl Genet 92: 28–39.
Gabriel, K.R., 1971. The biplot graphic display of matrices with application to principal component analysis. Biometrika 58: 453–467.
Gauch, H.G., 1992. Statistical analysis of regional yield trials. Elsevier, Amsterdam.
Gilmour, A.R., R. Thompson & B.R. Cullis, 1995. AI, an efficient algorithm for REML estimation in linear mixed models. Biometrics 51: 1440–1450.
Gilmour, A.R., R. Thompson, B.R. Cullis & S. Welham, 1996. ASREML. Technical report, NSW Agriculture.
Gilmour, A.R., B.R. Cullis & A.P. Verbyla, 1997. Accounting for natural and extraneous variation in the analysis of field experiments. Journal of Agricultural, Biological and Environmental Statistics 2: 269–293.
Gleeson, A.C. & B.R. Cullis, 1987. Residual maximum likelihood (REML) estimation of a neighbour model for field experiments. Biometrics 43: 277–287.
James, A.T., W.N. Venables, I.B. Dry & J.T. Wiskich, 1994. Random effects and variances as a synthesis of nonlinear regression analysis of mitochondrial electron transport. Biometrika 81: 219–235.
Kempthorne, O., 1952. The Design and Analysis of Experiments. John Wiley & Sons, Inc.
Morrison, D.F., 1967. Multivariate Statistical Methods. McGraw-Hill.
Patterson, H.D. & R. Thompson, 1971. Recovery of interblock information when block sizes are unequal. Biometrika 31: 100–109.
Patterson, H.D., V. Silvey, M. Talbot & S.T.C. Weatherup, 1977. Variability of yields of cereal varieties in U.K. trials. J Agric Sci (Cambridge) 89: 239–245.
Rameau, C. & J.B. Denis, 1992. Characterization of environments in long-term multi-site trials in Asparagus, through yield of standard varieties and use of environmental covariates. Plant Breed 109: 183–192.
Searle, S.R., G. Casella & C.E. McCulloch, 1992. Variance Components. John Wiley & Sons, Inc.
Van Eeuwijk, F.A. & A. Elgersma, 1993. Incorporating environmental information in an analysis of genotype by environment interaction for seed yield in perennial ryegrass. Heredity 70: 447–457.
Van Eeuwijk, F.A., J.-B. Denis & M.S. Kang, 1995. Incorporating additional information on genotypes and environments in models for two-way genotype by environment tables. In: M.S. Kang & H.G. Gauch (Eds.), Genotype by Environment Interaction: New Perspectives, pp. 15–49. CRC Press, Boca Raton.
Van Eeuwijk, F.A., 1996. Between and beyond additivity and non-additivity; the statistical modelling of genotype by environment interaction in plant breeding. PhD Thesis, Wageningen, pp. 245–279.
Van Eeuwijk, F.A. & P.M. Kroonenberg, 1997. Multiplicative decompositions of interactions in three-way analysis of variance, with applications to plant breeding. Biometrics, submitted.
Williams, W.T., 1976. Pattern analysis in agricultural science. Elsevier, Amsterdam.
Zadoks, J.C., T.T. Chang & C.F. Konzak, 1974. A decimal code for the growth stages of cereals. Weeds Res 14: 415–421.
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Frensham, A., Barr, A., Cullis, B. et al. A mixed model analysis of 10 years of oat evaluation data: use of agronomic information to explain genotype by environment interaction. Euphytica 99, 43–56 (1998). https://doi.org/10.1023/A:1018395731621
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DOI: https://doi.org/10.1023/A:1018395731621