&lt;b&gt;Adaptability and stability assessment of bean cultivars of the carioca commercial group by a Bayesian approach

Milena Pierotti Euzebio,Inês Cristina De Batista Fonseca,Nelson Da Silva Fonseca Júnior,Moysés Nascimento,Willian Giordani,Leandro Simões Azeredo Gonçalves

doi:10.4025/actasciagron.v40i1.35272

Abstract

To develop new bean commercial cultivars, a series of experiments called Value for Cultivation and Use (VCU) assays are necessary. Bayesian analysis using information on prior VCU trials is an alternative to obtain greater precision during genotype selection. The objective of the present work was to select, under a Bayesian perspective, genotypes of the carioca bean from the state of Parana that combine high adaptability and phenotypic stability, using information from previous VCU assays. This study used data from six experiments conducted in a randomized block design, in which the grain yield of 18 genotypes was assayed. To represent weakly informative prior distributions, the study used probability distributions with high variance; to represent informative prior distributions, it adopted the meta-analysis concept used in prior VCU assays (2007/2008, 2008/2009, 2009/2010, 2010/2011, 2011/2012, 2012/2013, and 2013/2014). Bayesian inference provided greater precision in selecting carioca bean genotypes with high adaptability and phenotypical stability through the Eberhart and Russell method. The Bayes factor indicated that the use of a priori information gives more accurate results for genotype selection. According to the study, most genotypes are widely adaptable based on informative priors, except for the Bola Cheia cultivar, which has specific adaptability to favorable environments.

Highlights

The bean (Phaseolus vulgaris L.) is considered one of the most important legumes in the world, being one of the main sources of nutrients in several countries in Latin America and Western Africa and representing 65% of all consumed protein, 32% of energy and one of the main sources of micronutrients (Petry, Boy, Wirth, & Hurrell, 2015)
In the first model (M1), we considered informative prior distributions with information originating from the application of the metaanalysis technique, characterized by the utilization of prior Value for Cultivation and Use (VCU) information
The coefficient of variation (CV%) was 15.52, which is considered to be a good confidence level according to the criterion proposed by Oliveira, Muniz, Andrade, and Reis (2009)

Summary

Introduction

The bean (Phaseolus vulgaris L.) is considered one of the most important legumes in the world, being one of the main sources of nutrients in several countries in Latin America and Western Africa and representing 65% of all consumed protein, 32% of energy and one of the main sources of micronutrients (Petry, Boy, Wirth, & Hurrell, 2015). National Company of Food and Supply (CONAB), Brazilian production in the 2015/2016 season was 3.33 million tons, with an average yield of 1,103 kg ha-1 (CONAB, 2016). Grains of the carioca commercial type represent the largest consumer market share in Brazil (Barili et al, 2016). Developed in Brazil in the 70s, this bean originated from mutations and crosses of other varieties of brown beans such as jalo and mulatinho. As the carioca is the most preferred bean among Brazilians, several breeding programs (Instituto Agronômico de Campinas – IAC, Instituto Agronômico do Paraná – IAPAR, Empresa Brasileira de Pesquisa Agropecuária – Embrapa, and Universities, for instance) are being developed to release new and more productive, stable and adapted cultivars

Objectives

Methods

Results