Linear, Generalized, Hierarchical, Bayesian and Random Regression Mixed Models in Genetics/Genomics in Plant Breeding

Theobroma grandiflorum breeding optimization based on repeatability, stability and adaptability information

“…Based on the coefficient of determination of the GE interaction (c ge 2 ) and genotypic correlation among environments (rge), mean fruit production/plant was more heavily influenced by the environment than mean number of fruits/plant. In a previous study (Resende and Alves 2020), the authors highlight that a useful indicator is the ratio between 11 the variances attributed to the GE interaction and the genotype (P = σ ge 2 σ g 2 ⁄ ). Variables with P < 0.5, as is the case with mean number of fruits/plant (0.33), will not be problematic for selection; while traits with P > 0.5, such as mean fruit production/plant (1.80), tend to generate problems due to the complex GE interaction, especially when the intention is to carry out indirect selection.…”

Theobroma grandiflorum breeding optimization based on repeatability, stability and adaptability information

“…LRT shows genetic variability among progenies for both the traits mean number of fruits/plant and mean fruit production/plant. Although the GE and GEM interactions were significant, the genotypic correlation among environments (r ge ) was high (0.77) only for mean number of fruits/plant, according to the classification proposed by [28]. These results indicate that for this trait the performance of progenies is moderately similar among the trials and some of the same progenies can be selected for them all.…”

“…Based on the coefficient of determination of the GE interaction (c 2 ge ) and genotypic correlation among environments (r ge ), mean fruit production/plant was more heavily influenced by the environment than mean number of fruits/plant. In a previous study [28], the authors highlight that a useful indicator is the ratio between the variances attributed to the GE interaction and the genotype ( P = σ 2 ge σ 2 g ). Variables with P < 0.5, as is the case with mean number of fruits/plant (0.33), will not be problematic for selection; while traits with P > 0.5, such as mean fruit production/plant (1.80), tend to generate problems due to the complex GE interaction, especially when the intention is to carry out indirect selection.…”

Theobroma Grandiflorum Breeding Optimization Based on Repeatability, Stability and Adaptability Information

“…LRT shows genetic variability among progenies for both the traits mean number of fruits/plant and mean fruit production/plant. Although the GE and GEM interactions were significant, the genotypic correlation among environments (r ge ) was high (0.77) only for mean number of fruits/plant, according to the classification proposed by (Resende and Alves 2020). These results indicate that for this trait the performance of progenies is moderately similar among the trials and some of the same progenies can be selected for them all.…”

“…Based on the coefficient of determination of the GE interaction (c ge 2 ) and genotypic correlation among environments (rge), mean fruit production/plant was more heavily influenced by the environment than mean number of fruits/plant. In a previous study (Resende and Alves 2020), the authors highlight that a useful indicator is the ratio between the variances attributed to the GE interaction and the genotype (P = σ ge 2 σ g 2 ⁄ ). Variables with P < 0.5, as is the case with mean number of fruits/plant (0.33), will not be problematic for selection; while traits with P > 0.5, such as mean fruit production/plant (1.80), tend to generate problems due to the complex GE interaction, especially when the intention is to carry out indirect selection.…”