title: Genotype X environment interactions. II. Some genetical considerations.
abstract: 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)...
mesh_terms: D004777:Environment; D005838:Genotype; D008954:Models, Biological