Stability Parameters for Comparing Varieties¹

TLDR

The model Y_ij = μ₁ + β₁I_j + δ_ij defines stability parameters that describe a variety’s performance across environments, where μ₁ is the overall mean, β₁ measures response to the environmental index I_j, and δ_ij captures deviations from regression. The authors examined data from two single‑cross diallels and a set of 3‑way crosses to detect genetic differences. Genetic differences were detected in the regression of lines on the environmental index, with no evidence of nonadditive gene action, and squared deviations from regression were near zero for many hybrids but extremely large for others.

Abstract

The model, Y ij = μ 1 + β 1 I j + δ ij , defines stability parameters that may be used to describe the performance of a variety over a series of environments. Y ij is the variety mean of the i th variety at the j th environment, µ 1 is the i th variety mean over all environments, β 1 is the regression coefficient that measures the response of the i th variety to varying environments, δ ij is the deviation from regression of the i th variety at the j th environment, and I j is the environmental index. The data from two single‐cross diallels and a set of 3‐way crosses were examined to see whether genetic differences could be detected. Genetic differences among lines were indicated for the regression of the lines on the environmental index with no evidence of nonadditive gene action. The estimates of the squared deviations from regression for many hybrids were near zero, whereas extremely large estimates were obtained for other hybrids.