Abstract

SILVA, Maria Imaculada de Sousa; BEARZOTI, Eduardo  and  BUENO FILHO, Júlio Sílvio de Sousa. Bayesian analisys of monogenic inheritance model in plant breeding: a case study with zucchini. Ciênc. agrotec. [online]. 2009, vol.33, n.6, pp. 1463-1468. ISSN 1413-7054.  http://dx.doi.org/10.1590/S1413-70542009000600002.

A common breeding strategy is to carry out basic studies to investigate the hypothesis of a single gene controlling the trait (major gene) with or without polygenes of minor effect. In this study we used Bayesian inference to fit genetic additive-dominance models of inheritance to plant breeding experiments with multiple generations. Normal densities with different means, according to the major gene genotype, were considered in a linear model in which the design matrix of the genetic effects had unknown coefficients (which were estimated in individual basis). An actual data set from an inheritance study of partenocarpy in zucchini (Cucurbita pepo L.) was used for illustration. Model fitting included posterior probabilities for all individual genotypes. Analysis agrees with results in the literature but this approach was far more efficient than previous alternatives assuming that design matrix was known for the generations. Partenocarpy in zucchini is controlled by a major gene with important additive effect and partial dominance.

Keywords : Cucurbita pepo; Gibbs sampler; major gene; Metropolis algorithm; partenocarpy.