Effect of the Family X Location Interaction on the Selection INDEX That Involves Some Traits of the Common Bean Plant.

One of the challenges of the bean's breeding programs in Brazil, is to obtain lines that associate more upright plants, with higher productivity of the "carioca" type grain according to the commercial standard. On the simultaneous selection of several traits the best option is the use of selection index. What is questionable is the stability of these selections index when data are obtained in many locations. In light of the above, the aim of this study was to estimate the selection index, involving traits of grain weight, grain yield (kg/ha) and architecture plant. Was used the data of 62 progenies S_0:2, S_0:3 e S_0:4, that were evaluated in three locations in Brazil with three repetitions. The architecture data were obtained through a note scale, 1 represents plants that are not upright, and 9 represents plants that present a very upright architecture. The data were standardized by repetition and the selection index was the sum of the standardized variables Σz. The analysis of variance was done considering the Σz added to a constant. It was found that: the progenies were different for selection index, and the heritability for the selection on the mean of the environments was higher than 70%. (h²=0,7002). The componente of the family x location interaction (V_PXA) was higher than the genetic variance among progênies (V_P), V_PXA/V_{P =} 1,37. Through a graphical analysis was possible to indentify the best progenies with higher adaptability and stability.