Biometrical Letters

ISSN:1896-3811

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Volume (55) Number 2 pp. 97-121

Anderson Cristiano Neisse 1, Jhessica Letícia Kirch 2, Kuang Hongyu 3

1Federal University of Viçosa, , Brazil
2Luiz de Queiroz College of Agriculture, University of São Paulo, Brazil
3Department of Statistics, Federal University of Mato Grosso, Brazil

AMMI and GGE Biplot for genotype × environment interaction: a medoid–based hierarchical cluster analysis approach for high–dimensional data

Summary

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 models are 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.

Keywords: genotype × environment interaction, adaptability and stability, additive main effects and multiplicative interaction model, multi-environment trials, cluster analysis, medoids

DOI: 10.2478/bile-2018-0008

For citation:

MLA Neisse, Anderson Cristiano, et al. "AMMI and GGE Biplot for genotype × environment interaction: a medoid–based hierarchical cluster analysis approach for high–dimensional data." Biometrical Letters 55.2 (2018): 97-121. DOI: 10.2478/bile-2018-0008
APA Neisse, A. C., Kirch, J. L., & Hongyu, K. (2018). AMMI and GGE Biplot for genotype × environment interaction: a medoid–based hierarchical cluster analysis approach for high–dimensional data. Biometrical Letters 55(2), 97-121 DOI: 10.2478/bile-2018-0008
ISO 690 NEISSE, Anderson Cristiano, KIRCH, Jhessica Letícia, HONGYU, Kuang. AMMI and GGE Biplot for genotype × environment interaction: a medoid–based hierarchical cluster analysis approach for high–dimensional data. Biometrical Letters, 2018, 55.2: 97-121. DOI: 10.2478/bile-2018-0008