Abstract
Changes in the relative performance of genotypes have made it necessary for more in-depth investigations to be carried out through reliable analyses of adaptability and stability. The present study was conducted to compare the efficiency of different informative priors in the Bayesian method of Eberhart & Russel with frequentist methods. Fifteen black-bean genotypes from the municipalities of Belém do São Francisco and Petrolina (PE, Brazil) were evaluated in 2011 and 2012 in a randomized-block design with three replicates. Eberhart & Russel’s methodology was applied using the GENES software and the Bayesian procedure using the R software through the MCMCregress function of the MCMCpack package. The quality of Bayesian analysis differed according to the a priori information entered in the model. The Bayesian approach using frequentist analysis had greater accuracy in the estimate of adaptability and stability, where model 1 which uses the a priori information, was the most suitable to obtain reliable estimates according to the BayesFactor function. The inference, using information from previous studies, showed to be imprecise and equivalent to the linear-model methodology. In addition, it was realized that the input of a priori information is important because it increases the quality of the adjustment of the model.
Highlights
The common bean (Phaseolus vulgares L.), a staple food in Brazil, is one of the most important sources of protein in human nutrition, especially for the low-income population (Rocha, Moda-Cirino, Destro, Fonseca Junior, & Prete, 2010)
The literature describes different methodologies to evaluate the adaptability and stability of genotypes, e.g. methods based on Bayesian inference (Nascimento et al, 2011), mixed models (REML/BLUP) (Resende, 2016), simple linear regression (Eberhart & Russell, 1966), segmented linear regression (Verma, Chahal, & Murty, 1978), and non-parametric methods (Lin & Binns, 1988)
This study involved 12 lines developed by EMBRAPA (Brazilian Agricultural Research Corporation) and three black-bean cultivars (BRS Esplendor, IPR Uirapuru, and BRS Campeiro)
Summary
The common bean (Phaseolus vulgares L.), a staple food in Brazil, is one of the most important sources of protein in human nutrition, especially for the low-income population (Rocha, Moda-Cirino, Destro, Fonseca Junior, & Prete, 2010). Brazil has stood out in the international agricultural scenario as one of the largest producers and consumers of this Fabaceae member. One of the main problems found in the attempt to augment production of this crop is the influence of soil-climatic conditions. In this scenario, producing cultivars adaptable to environmental variations is an important strategy. The genotype × environment interaction is one of the major challenges in the selection and recommendation of superior genotypes, as it changes their relative performance due to environmental variations. The study of this interaction allows to identify the ideal genotypes for planting in each environment, as a result, maximizes the productive potential of grains and reducing production costs. The literature describes different methodologies to evaluate the adaptability and stability of genotypes, e.g. methods based on Bayesian inference (Nascimento et al, 2011), mixed models (REML/BLUP) (Resende, 2016), simple linear regression (Eberhart & Russell, 1966), segmented linear regression (Verma, Chahal, & Murty, 1978), and non-parametric methods (Lin & Binns, 1988)
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