In breeding of autogamous plants, breeders often deal with the evaluation of progenies derived from multiple populations. We hypothesize that selection strategies that account for the heterogeneous genotypic variability of progenies within these populations associated with the population means may improve progeny selection. Thus, the objective of this work was to use two mixed models with progenies nested to population effects to obtain and evaluate indexes for the genotypic values of progenies. We used simulations and a real dataset from a multipopulation recurrent selection program of common bean (Phaseolus vulgaris L.). Progenies from 20 populations were evaluated for grain yield in two different generations. The three studied indexes consider the merit of populations, but differently account for the genotypic variability of progenies within populations: index g_M uses a mean estimate, index g_H is based on heterogeneous estimates, and the index g_W also uses a mean estimate but is weighted by the selection accuracy within populations. The studied populations were highly diverse in both generations, justifying the implementation of the two models to obtain the population means and specific estimates of genotypic variability of progenies for each population. The comparison among indexes suggested that index g_W more appropriately explored the information from the genotypic profiles of the common bean studied populations in the genotypic values of progenies. Thus, the index g_W has the potential to help breeders of self-pollinated plant species to improve progeny selection from multiple populations.

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解释自交植物育种中种群内后代的异质基因型变异：对普通豆的评估

在自交植物的育种中，育种者经常处理来自多个种群的后代的评估。我们假设，考虑到与种群平均值相关的这些种群内后代的异质基因型变异性的选择策略可能会改善后代选择。因此，这项工作的目的是使用两个混合模型，后代嵌套到种群效应，以获得和评估后代基因型值的指标。我们使用了模拟和来自普通豆（Phaseolus vulgaris）的多种群循环选择程序的真实数据集L.）。评估了来自 20 个种群的后代在两个不同世代中的谷物产量。三个研究的指标考虑了种群的优点，但对种群内后代的基因型变异性的解释不同：指数 g _M使用平均估计，指数 g _H基于异质估计，指数 g _W也使用平均估计，但由种群内的选择精度加权。所研究的种群在两代中都高度多样化，证明实施这两个模型以获得种群平均值和每个种群后代基因型变异性的具体估计是合理的。指标间比较表明指标g _W更恰当地探索了来自普通豆研究种群基因型谱信息的后代基因型值。因此，指数 g _W有可能帮助自花授粉植物品种的育种者改善来自多个种群的后代选择。