Phenotypic Stability for a Systematic Series of Corn Genotypes¹

Environmental and genotype-environmental components of variability VIII. Relations between genotypes grown in different environments and measures of these environments

“…It has been further observed by various authors, e.g. Yates and Cochran (1938), Finlay and Wilkinson (1963), Rowe and Andrew (1964), Eberhart and Russell (1966), Perkins and Jinks (1968), Breese (1969), Baker (1969), that the relation between the performance of different genotypes in the various environments and some measure of these environments is frequently linear, or nearly so. These observations, which have all been made independently, lead to the conclusion that there may well be some genuine underlying linear relation between performance of particular genotypes and environmental conditions, even though it does not always account for all the observed interaction.…”

“…Rowe and Andrew (1964) and Eberhart and Russell (1966) are the only authors to work entirely with the total variation within genotypes.…”

“…Although this point has been recognised by some previous workers, its consequences have not been realised. Thus, Rowe and Andrew (1964) write this sum of squares down in two tables, assigning one degree of freedom to it in one table and (t -1) in the other: Perkins and Jinks (1968) refer to" the joint regression sum of squares which in this analysis equals the environment sum of squares ". This sum of squares is in fact not used much in the various developments, but nevertheless its ambiguity vitiates the subsequent analysis.…”

Genotype-environmental interactions in Schizophyllum commune I. Analysis and character

“…The first (Finlay and Wilkinson, 1963;Rowe and Andrew, 1964;Eberhart and Russell, 1966;Breesc, .1969) is a purely statistical approach, whereas the second (Perkins and Jinks, 1968;Baker, 1969) and a third derived from it (Freeman and Perkins, 1971) relate the components in the regression analysis to the basic biometricalgenetical model given by Perkins and Jinks (1968). The definitions of the d and gij parameters in this model (No.…”

Statistical methods for the analysis of genotype-environment interactions

“…This particular approach, now commonly known as joint regression analysis, has been widely adopted in practice, some applications being given in the list of references. Regression methods were also considered by Rowe and Andrew (1964) and Eberhart and Russell (1966), who added together the sums of squares for environments and GE interactions and repartitioned this. Their partitioning is into a linear component between environments with 1 d.f., a linear component of the GE interaction with (t-1) d.f., and deviations from regression, the deviations being found separately for each of the t genotypes with (s-2) di'.…”