Biometrical Letters, Vol. 55(2), 2018, pp. 97-121


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AMMI AND GGE BIPLOT FOR GENOTYPE × ENVIRONMENT
INTERACTION: A MEDOID–BASED HIERARCHICAL CLUSTER ANALYSIS
APPROACH FOR HIGH–DIMENSIONAL DATA


Anderson Cristiano Neisse1, Jhessica Letícia Kirch2,
Kuang Hongyu3

1Master’s Student in Statistics, Federal University of Viçosa, Brazil, e-mail: a.neisse@gmail.com
2Master's Student in Statistics, Luiz de Queiroz College of Agriculture, University of Sao Paulo, Brazil
3Department of Statistics, Federal University of Mato Grosso, Brazil


The presence of genotype-environment interaction (GEI) influences production making the selection of cultivars in a complex process. The two most used methods to analyze GEI and evaluate genotypes are AMMI and GGE Biplot, being used for the analysis of multi environment trials data (MET). Despite their different approaches, both models complement each other in order to strengthen decision making. However, both modelsare based on biplots, consequently, biplot-based interpretation doesn't scale well beyond two-dimensional plots, which happens whenever the first two components don't capture enough variation. This paper proposes an approach to such cases based on cluster analysis combined with the concept of medoids. It also applies AMMI and GGE Biplot to the adjusted data in order to compare both models. The data is provided by the International Maize and Wheat Improvement Center (CIMMYT) and comes from the 14th Semi-Arid Wheat Yield Trial (SAWYT), an experiment concerning 50 genotypes of spring bread wheat (Triticum aestivum) germplasm adapted to low rainfall. It was performed in 36 environments across 14 countries. The analysis provided 25 genotypes clusters and 6 environments clusters. Both models were equivalent for the data's evaluation, permitting increased reliability in the selection of superior cultivars and test environments.


genotype × environment interaction, adaptability and stability, additive main effects and multiplicative interaction model, multienvironment trials, cluster analysis, medoids