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CROP BREEDING & GENETICS

Numerical and Graphical Measures to Facilitate the Interpretation of GGE Biplots

^a Pioneer Génétique, Chemin de l'Enseigure, 31840 Aussonne, France
^b ENITIAA-INRA, Unité de Sensométrie et Chimiométrie, Rue de la Géraudière, BP 82225, 44322 Nantes Cedex 03, France
^c Pioneer Hi-Bred Int., 7300 NW 62nd Ave., Johnston, IA 50156

^* Corresponding author (kevin.d.wright{at}pioneer.com).

The genotype + genotype-by-environment (GGE) biplot technique has been widely used in the recent years for the analysis of multienvironment trials, as is evident by the large number of articles published where there is a reference to this technique. One question often raised by the users of this technique is how much of genotype and/or genotype-by-environment variability is captured by the GGE biplot axes. This article provides an answer to this question by establishing a link between the partitioning of the total sum of squares (TSS) of the genotype-by-environment-centered matrix provided by singular value decomposition and the partitioning of this TSS provided by the analysis of variance technique. An artificial dataset is used to illustrate this link, which is visualized through a mosaic plot. This new GGE biplot interpretation tool is found to be useful and is discussed in contrast with other interpretation tools.

Abbreviations: AEC, average environment coordinate • G, genotype • GE, genotype-by-environment • GGE, genotype + genotype-by-environment • SSG, sums of squares due to genotypes • SSGE, sums of squares due to genotype-by-environment • SVD, singular value decomposition • TSS, total sum of squares.

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