Statistical methods for more precise selection of biofortified common bean lines

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Statistical methods for more precise selection of biofortified common bean lines Nerine´ia Dalfollo Ribeiro

. Greice Rosana Kla¨sener . Rodrigo de Morais Borges

Received: 26 October 2019 / Accepted: 15 October 2020 Ó Springer Nature B.V. 2020

Abstract Identifying statistical methods that provide greater experimental precision in the selection of biofortified common bean lines is an unprecedented practice, according to the literature. The present study was thus conducted to examine the experimental precision of mineral concentration in experiments with common bean by employing different statistical methods and to identify more precise methods to select mineral-biofortified common bean lines. Twenty-two experiments were carried out between 2004 and 2018 evaluating 682 common bean genotypes of the grain types most widely consumed in Brazil. The concentrations of potassium, phosphorus, calcium, iron, zinc and copper were determined by nitric-perchloric acid digestion, and the experimental precision of those traits was analyzed by eight statistical methods. For most experiments, a significant genotype effect was observed for mineral concentration, allowing the selection of biofortified common bean lines. The coefficient of experimental variation and significant minimum difference exhibited low and intermediate values, i.e., showed greater experimental precision, including the experiments in which the genotype mean square was not significant. Because these methods may result in error in genotypic differentiation, they

N. D. Ribeiro (&)  G. R. Kla¨sener  R. de Morais Borges Universidade Federal de Santa Maria, Santa Maria, Rio Grande do Sul, Brazil e-mail: [email protected]

are not adequate to evaluate the experimental precision of mineral concentration in common bean. In most experiments where the genotype effect was significant for the mineral concentration, high scores (greater experimental precision) were obtained in the F-test value for genotype, coefficient of genetic variation, coefficient of relative variation, heritability and selective accuracy. These statistical methods allow the selection of biofortified common bean lines with greater experimental precision and are thus recommended for breeding programs. Keywords Phaseolus vulgaris L.  Genetic variability  Statistical methods  Minerals

Introduction Common bean (Phaseolus vulgaris L.) is often the major source of protein, fibers and minerals in the human diet, and various health benefits have been associated with its regular consumption (Sua´rezMartı´nez et al. 2016). This has driven common-bean breeding programs to devote special attention to the development of iron—and zinc-biofortified lines (Tryphone and Nchimbi-Msolla 2010; Pereira et al. 2014; Martins et al. 2016). These lines can be used in nutrition to prevent iron and zinc deficiencies, which result in anemia (Camaschella 2015) and compromise

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the immune system (Gibson 2012), respectively. In an evaluation of common b