Genotypic performance over environmental arrays: A non-linear grouping protocol

Abstract

A non-linear model for examining genotypic responses across an array of environments is contrasted with the 'joint regression' formulation, and a rigorous approach to hypothesis testing using the conditional error principle is demonstrated. The model is extended to cater for situations where single straight-line response patterns fail to characterize genotypic behaviors over an environmental array: a combination of two straight lines, with slope in below-average and in above-average environments, is offered as the 1 2 simplest representation of convex and concave patterns. A protocol for classifying genotypes according to the results of hypothesis tests, i.e. H( = ) and H( = = = 1), is 1 2 1 2 presented . A doubly desirable response pattern is convex ( < 1< ), while a doubly 1 2 undesirable pattern is concave ( > 1> ). 1 2

Comparison of methods for phenotypic stability analysis of cassava (Manihot esculenta Crantz) genotypes for yield and storage root dry matter content

“…The data were submitted to the joint analysis of variance to check the presence of significant G x E interaction effect (Cruz and Regazzi, 2001). The phenotypic adaptability and stability analyses proposed by Lin and Binns (1988), Annicchiarico (1992), Eskridge (1990), Toler and Burrows (1998) and AMMI analysis were used. The method proposed by Lin and Binns (1988) was based on non-parametric methods and presented no-limitations reported on linear regression.…”

Adaptabilidade e estabilidade de genótipos de amendoim de porte rasteiro

“…Diversos métodos de análise de adaptabilidade e estabilidade foram propostos na literatura (Eberhart & Russel, 1966;Lin & Binns, 1988;Crossa, 1990;Gauch & Zobel, 1996;Magari & Kang, 1997;Toler & Burrows, 1998;Rosse & Vencovsky, 2000). Segundo Cruz & Regazzi (2001), alguns métodos são alternativos, enquanto outros são complementares, e podem ser utilizados conjuntamente.…”

Phenotypic stability in cassava estimated by the AMMI analysis with supplementary genotypes

“…Therefore, the study on both adaptability and stability of genotypes is desirable in order to identify those with the most predictable responses to diverse environments. Among the several methodologies to analyze adaptability and stability (Eberhart and Russel 1966, Lin and Binns 1988, Gauch and Zobel 1996, Toler and Burrows 1998, the multivariate AMMI or Additive Main Effects and Multiplicative Interaction Analysis is the most widely used in Brazil (Carbonell et al 2004, Pacheco et al 2005, Kvitschal et al 2007, Kvitschal et al 2009, Gonçalves et al 2010, Oliveira et al 2010, Mattos et al 2013, Barros et al 2013, Oliveira et al 2014. This method combines analysis of variance and principal components to adjust the main effects (genotypes and environments) and the effects of G×E interactions Vencovsky 2001, Zobel et al 1988).…”