Generalized method for analysis of unbalanced diallels

• Main Author: Silva, Sílvia Agripina Gonçalvez e
• Publication Date: 2000
• Other Authors: Morais, Orlando Peixoto de, Rava, Carlos Agustin, Costa, Joaquim Geraldo Cáprio da
• Format: Article
• Language: por
• Source: Pesquisa Agropecuária Brasileira (Online)
• Download full: https://seer.sct.embrapa.br/index.php/pab/article/view/5987
• topic: Phaseolus vulgaris; parents; hybrids; combining ability; quantitative genetics; pest resistance; breeding methods; bacterial blight; Xanthomonas axonopodis; Phaseolus vulgaris; genitores; híbridos; capacidade combinatória; genética quantitativa; resistência a doenças; métodos de melhoramento; crestamento bacteriano; Xanthomonas axonopodis

A general procedure for estimation of general and specific combining ability in diallelic crosses with unequal number of replications for treatments (parents and F1 hybrid combinations), evaluated in a design with restricted randomization, is presented. In this case, the estimates of adjusted means are interdependent and heterocedastic, demanding the use of the Gauss-Marcov generalized linear model. The objective of this study was the theoretical deduction of the model and its application to a practical example. A complete diallel crossing without reciprocals was performed, including five parents: CB 511687-1, CB 733753, Diamante Negro, Rosinha G-2 and Compuesto Chimaltenango 2. The parents CB 511687-1, CB 733753 and Diamante Negro contribute genetically for resistance while Rosinha G-2 and Compuesto Chimaltenango 2 contribute for susceptibility of dry bean to common bacterial blight. Most of the crosses analyzed showed partial dominance for susceptibility of bean to Xanthomonas axonopodis pv. phaseoli.