2012
DOI: 10.1590/s0103-90162012000600003
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Analyzing genotype-by-environment interaction using curvilinear regression

Abstract: In the context of multi-environment trials, where a series of experiments is conducted across different environmental conditions, the analysis of the structure of genotype-byenvironment interaction is an important topic. This paper presents a generalization of the joint regression analysis for the cases where the response (e.g. yield) is not linear across environments and can be written as a second (or higher) order polynomial or another non-linear function. After identifying the common form regression functio… Show more

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Cited by 4 publications
(3 citation statements)
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References 14 publications
(16 reference statements)
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“…In this way the phenotypic responses per block are regressed across environments, resulting in × regressions, where is the number of blocks. Other studies and generalisations related to Gusmão's approach were presented by Pereira et al (2007Pereira et al ( , 2012b.…”
Section: Statistical Models Based On Regression and Singular Value Dementioning
confidence: 97%
“…In this way the phenotypic responses per block are regressed across environments, resulting in × regressions, where is the number of blocks. Other studies and generalisations related to Gusmão's approach were presented by Pereira et al (2007Pereira et al ( , 2012b.…”
Section: Statistical Models Based On Regression and Singular Value Dementioning
confidence: 97%
“…The occurrence of GEIs in multi-environment wheat yield trials is common in Brazil (Silva et al, 2011) and other countries (Sabaghnia et al, 2012;Graybosch et al, 2012;Tsenov and Atanasova, 2013;Cormier et al, 2013;Malik et al, 2013;Roostaei et al, 2014). In similar cases where the GEI is present in the joint analysis, the characterization of genotypes using adaptability and stability analyses is indicated (Yan et al, 2007;Miranda et al, 2009;Araújo et al, 2012;Pereira et al, 2012;Colombari Filho et al, 2013).…”
Section: Joint Analysis Of Variance By Genotype Classmentioning
confidence: 99%
“…The genotype x environment interaction (GxE) and the quantitative trait locus (QTL) x environment interaction (QxE) are common phenomena in multienvironmental trials (METs), and they represent a major challenge for breeders who intend to develop more adapted genotypes to different environmental conditions. The modelling strategies that have been used to understand GxE and QxE are based on fixed effect models, such as regression techniques (Rodrigues et al, 2011;Pereira et al, 2012aPereira et al, , 2012b, as well as on singular-value decomposition techniques (SVD) (Gauch Jr., 1992;Paderewski et al, 2011;Paderewski & Rodrigues, 2014), and on mixed effects models (Alimi et al, 2012).…”
Section: Introductionmentioning
confidence: 99%