To obtain superior materials it is necessary that the selected genotype fulfills many favorable attributes that satisfy the demands of the consumers, the producers and the processors. Thus, data on the agronomic characteristics for fruit production and weight, involving 50 progenies of Euterpe oleracea were evaluated in a two type lattice designs with two replications and five plants per plot for a period of three seasons. The objective was to estimate genetic and phenotypic parameters and predicting breeding values of individuals and progeny of irrigated Euterpe oleracea in the State of Para aiming the simultaneous selection and breeding using the REML/BLUP methodology. For the selection and estimation of the predicted gains, it was used the indexes based on average ranks and independent levels of elimination, considering a selection intensity of 20 %. Genetic gain of 20.76 % over the average of the experiment was obtained with the selection of the 20 best individuals for fruit production. Over five seasons in the measurement or evaluation of progenies of açai fruit production a little would be added in terms of selection efficiency, being their use unjustified. The index based on average ranks proved the most efficient both in selecting superior progenies for yield and lower fruit weight, being recommended its use in breeding program for açai.
Euterpe oleracea; breeding; selection indexes; quantitative genetics; REML/BLUP
