-The restricted maximum likelihood/best linear unbiased prediction (REML/BLUP) mixed model method has been used to study the effects of genotype by environment interaction (G x E) in various crops including cowpea. This work aimed to analyze the G x E interaction via mixed models to identify cowpea genotypes that meet high adaptability, stability and productivity of pods and green grains when grown under Mossoró, Rio Grande do Norte State conditions. Crop value and use were evaluated in two growing seasons, using randomized complete blocks design with 23 genotypes and four replications. The genetic parameters were estimated by the REML/BLUP procedure and selection was based on the harmonic mean of the relative performance of genetic values (HMRPGV). Agreement between the HMGV, relative performance of genotypic values (RPGV) and HMRPGV statistics, provided genotype discrimination. Furthermore, the HMRPGV results enabled the simultaneous selection of superior genotypes for productivity, adaptability and stability. For the productivities of pods and green grains, the most notable genotypes were the cultivars BRS Xiquexique and BRS Aracê, and the line MNC05-835B-15, which showed a high productivity of grains, adaptability and stability, and could be grown in the two growing seasons considered in the study.Keywords: Adaptability. BLUP/REML. Stability. Vigna unguiculata. INTERAÇÃO GENÓTIPOS x AMBIENTES EM GENÓTIPOS DE FEIJÃO-CAUPI VERDE ANALISADA VIA MODELOS MISTOSRESUMO -A metodologia de modelos mistos REML/BLUP tem sido empregada para estudar os efeitos da interação genótipos x ambientes (G x E) em várias culturas, inclusive em feijão-caupi. O objetivo deste trabalho foi analisar a interação genótipos por ambientes em feijão-caupi via modelos mistos e identificar genótipos que reúnam alta adaptabilidade, estabilidade e produtividade de vagens e grãos verdes nas condições de Mossoró, RN. Os genótipos foram avaliados em ensaios de valor de cultivo e uso conduzidos em duas épocas de cultivo, sob delineamento experimental de blocos completos casualizados, com 23 genótipos e quatro repetições. Os parâmetros genéticos foram estimados via procedimento REML/BLUP, e a seleção baseou-se no método da média harmônica do desempenho relativo dos valores genéticos (MHPRVG). Houve concordância entre as estatísticas MHVG, PRVG e MHPRVG na discriminação dos genótipos, sendo que esta última possibilitou a seleção simultânea de genótipos superiores em produtividade, adaptabilidade e estabilidade. Para as produtividades de vagens e grãos verdes os genótipos de maior destaque foram as cultivares BRS Xiquexique, BRS Aracê e a linhagem MNC05-835B-15 que reuniram alta produtividade de grãos, adaptabilidade e estabilidade, podendo ser cultivados nas duas épocas de cultivo consideradas no estudo. Palavras-chave:Adaptabilidade. BLUP/REML. Estabilidade. Vigna unguiculata.
The objective of this study was to evaluate genetic divergence among cowpea genotypes and to select parents for crosses aimed at the fresh pod and grain market. Two experiments were carried out during 2014, corresponding to two sowing times, in the municipality of Mossoró, State of Rio Grande do Norte. Twenty-three cowpea genotypes were evaluated in a randomized complete block design with four replicates. Fifteen descriptors were used to quantify divergence, using the Mahalanobis distance as a measure of dissimilarity, obtained from the genotypic mean predicted by the Restricted Maximum Likelihood/Best Linear Unbiased Prediction (REML/BLUP) method. The Unweighted Pair Group Method with Arithmetic Mean (UPGMA) hierarchical method was used to group genotypes and the Singh criterion to quantify the contribution of traits to genetic divergence. The genotype × environment interaction (G × E) influenced divergence, both in the contribution of traits and in the grouping of genotypes. In the experiment 1, the genotypes were distributed among four groups. In the experiment 2, less discrimination occurred and the genotypes were represented by only two groups. When joint analysis of two evaluations was carried out based on two sowing times, genotypes were represented by six groups. The G × E interaction influences the contribution of traits and the grouping of cowpea genotypes in the study of divergence. The genetic divergence of the set of cowpea genotypes evaluated is mainly due to green grain and pod yield. BRS Aracê and BRS Xiquexique cultivars are the most divergent among the genotypes studied, representing 75% of the recommended crosses.
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