“…From the 1980's, the use of environmental variables and the prediction of their influence on the productivity of some species have been widely applied in the studies on the GxE interaction, and currently several authors have been inserting environmental information, whether as characterization factors and environmental stratification as covariates in the analysis models of GxE interaction (Haun, 1982;Denis, 1988;Van Eeuwijk et al, 1996;Vargas et al, 1998;Crossa et al, 1999;Van Eeuwijk et al, 2005;Voltas et al, 2005;Thomason and Phillips, 2006;Vargas et al, 2006;Boer et al, 2007;Ramburan et al, 2011;Heslot et al, 2014). Van Eeuwijk et al (1996), in a seminal study, summarizes some methods based on factor analysis for the insertion of information about environmental covariates for the explanation of the GxE interaction, and, according to the author, such models are just an extension of the most general case:…”