Relationships between genotype x environment interactions and rank orders for a set of genotypes tested in different environments |
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Authors: | M. Hühn S. Lotito H. P. Piepho |
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Affiliation: | (1) Institute of Crop Science and Plant Breeding, Christian-Albrechts-University Kiel, Olshausenstrasse 40, D-24118 Kiel, Germany;(2) DI.VA.P.R.A., Sez. Miglioramento Genetico e Produzione delle Sementi, Universitá degli Studi di Torino, V.P. Giuria 15, I-10126 Torino, Italy |
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Abstract: | Multilocation trials in plant breeding lead to cross-classified data sets with rows=genotypes and columns=environments, where the breeder is particularly interested in the rank orders of the genotypes in the different environments. Non-identical rank orders are the result of genotype x environment interactions. Not every interaction, however, causes rank changes among the genotypes (rank-interaction). From a breeder's point of view, interaction is tolerable only as long as it does not affect the rank orders. Therefore, the question arises of under which circumstances does interaction become rank-interaction. This paper contributes to our understanding of this topic. In our study we emphasized the detection of relationships between the similarity of the rank orders (measured by Kendall's coefficient of concordance W) and the functions of the diverse variance components (genotypes, environments, interaction, error). On the basis of extensive data sets on different agricultural crops (faba bean, fodder beet, sugar beet, oats, winter rape) obtained from registration trials (1985–1989) carried out in the Federal Republic of Germany, we obtained the following as main result: W 2g/(2g + 2v) where 2g=genotypic variance and 2v = 2ge + 2o/L with 2ge=interaction variance, 2o=error variance and L=number of replications. |
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Keywords: | Two-way classification Rank orders Genotype x environment interaction Coefficient of concordance Variance components Agricultural crops |
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