M. M. D. Coan - Department of Agronomy, State University of Maringá – UEM, Maringá, Paraná, Brazil.
V. S. Marchioro - Central Cooperative of Agricultural Research - COODETEC, Wheat Improvement Program, Cascavel, PR, Brazil.
F. de A. Franco - Central Cooperative of Agricultural Research - COODETEC, Wheat Improvement Program, Cascavel, PR, Brazil.
R. J. B. Pinto - Department of Agronomy, State University of Maringá – UEM, Maringá, Paraná, Brazil.
C. A. Scapim - Department of Agronomy, State University of Maringá – UEM, Maringá, Paraná, Brazil.
J. N. C. Baldissera - Department of Agronomy, State University of Maringá – UEM, Maringá, Paraná, Brazil.

The objective of this study was to evaluate the adaptability and stability of wheat genotypes simultaneously in unbalanced Multi-Environment Trials (MET) in four different regions of Brazil, using the method of harmonic means of the relative performance of genetic values. Mixed model was applied to the analysis of Genotype- Environment Interaction (GEI) in wheat. Grain yield data were obtained from a network of MET carried out at seven locations from ۲۰۰۸ to ۲۰۱۰. A joint of experiments in complete randomized blocks design with some common treatments was used in all ۲۱ experiments. Adaptability and stability parameters were obtained by several different methodologies, based on prediction, Harmonic Mean, and of the Relative Performance of Genotypic Values (HMRPGV). These methodologies ranked in a very similar way the studied genotypes and indicated the genotypes CD۰۹۵۰, CD۰۸۵۷, CD۰۶۶۷, CD۰۹۱۵, CD۰۹۱۴, CD۰۶۶۹, CD۰۸۵۹, and CD۰۸۵۱ as the superior ones for grain yield, adaptability, and stability in all environments. Dourados-MS (۲۰۱۰) was the worst environment with lowest mean (۱,۵۶۰.۲۶ kg ha-۱) and São Gotardo–MG (۲۰۰۸) was the best environment with highest mean (۵,۶۸۷.۰۸ kg ha-۱). The genotype more stable by HMRPGV across ۲۱ environments tested was CD۰۸۵; in the best environment, it was ranked the sixth (۶,۳۱۹.۳۰ kg ha-۱), but changed your values in the worst environment and was ranked the fifth (۲,۰۵۱.۵۳ kg ha-۱). The HMRPGV proved to be a practical and useful statistical tool in the determination of the Value for Cultivation and Use (VCU), particularly in the selection of genotypes’ reliability when genotypes are selected for the environments evaluated. This method has the advantage of providing results that are directly interpreted as breeding values ​​for yield, stability, and adaptability.

Genetic values, REML/BLUP, Triticum aestivum L. Interblock.