Phenotypic stability via ammi model with bootstrap re-sampling

Authors

  • Osmir José Lavoranti Embrapa Florestas
  • Carlos Tadeu dos Santos Dias Departamento de Ciências Exatas, Universidade de São Paulo/ESALQ
  • Wojtek J. Kraznowski School of Mathematical Sciences, Laver Building

Keywords:

Eucalyptus grandis, confidence regions, bootstrap prediction region, GE interaction.

Abstract

Reliable evaluation of the stability of genotypes and environment is of prime concern to plant breeders, but the lack of a comprehensive analysis of the structure of the GE interaction has been a stumbling block to the recommendation of varieties. The Additive Main Effects and Multiplicative Interaction (AMMI) Model currently offers the good approach to interpretation and  understanding of the GE interaction but lacks a way of assessing the stability of its estimates. The present contribution proposes the use of bootstrap resampling
in the AMMI Model, and applies it to obtain both a graphical and a numerical analysis of the phenotypic
stability of 20 Eucalyptus grandis progenies from Australia that were planted in seven environments in the Southern and Southeastern regions of Brazil. The results showed distinct behaviors of genotypes and
environments and the genotype x environment interaction was significant (p value < 0.01). The bootstrap coefficient of stability based on the squared Mahalanobis distance of the scores showed that genotypes and environments can be differentiated in terms of their stabilities. Graphical analysis of the AMMI biplot provided a better understanding of the interpretation of phenotypic stability. The proposed AMMI bootstrap eliminated the uncertainties regarding the identification of low scores in traditional analyses.

Downloads

Download data is not yet available.

Downloads

Published

2010-06-28

How to Cite

LAVORANTI, Osmir José; DIAS, Carlos Tadeu dos Santos; KRAZNOWSKI, Wojtek J. Phenotypic stability via ammi model with bootstrap re-sampling. Pesquisa Florestal Brasileira, [S. l.], n. 54, p. 45, 2010. Disponível em: https://pfb.sede.embrapa.br/pfb/article/view/129. Acesso em: 12 feb. 2026.

Issue

No. 54 (2007): jan./jun. Pesquisa Florestal Brasileira

Section

Articles

License

Pesquisa Florestal Brasileira (PFB) licenses all its published content under Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0).

  • Copyright: Authors maintain the copyright to their work. PFB holds the right to the first publication, and use rights under the specific Creative Commons deed.
  • Editing and revision: PFB reserves the right to edit the original manuscript to ensure conformity with the standards, spelling and grammar of the Portuguese language, while respecting the style of the author(s). The final version of the text shall be sent to the corresponding author for approval prior to publication.
  • Sharing and reuse: The CC BY-NC-ND 4.0 license permits sharing of the article in its original version, as long as credit is given to the journal and the authors and the material is not used for commercial purposes. No alterations or adaptations of the original content are permitted.
  • Figures and illustrations: Figures and illustrations published in PFB may only be used with express prior authorization from Embrapa Forestry.
  • Disclaimer: The opinions and beliefs expressed in the texts published herein are the exclusive responsibility of their respective authors and not PFB.