Genotype X environment interactions. II. Some genetical considerations.

An algebraic formulation, alternative to that of Mather and Jones (1958) and hierarchial rather than factorial in nauture, is presented for describing the differences among the phenotypes produced by a number of genotypes each grown in each of a number of environments. This formuationdoes not include terms representing statistical interactions between genotypes and environments: it depends instead on comparisons between the different genotypes in their variation over the relevant ranges of environemnts. The two-line case is considered ant eht condition established for linearity of the regress ion of genotype X enviroment interaction (g in Mather and Jones' formulation) on overall effect of the envirronment (e in Mather and Jones' formulation)...