Interaction of Genotype and Environment in Continuous Variation: II. Analysis

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Abstract
The problems are discussed of analysing continuous variation into its components when different types of family are raised after an initial cross between 2 inbred lines and genotype-environment interactions are present. With all individuals distributed at random over the same range of environ-merits, the additive and dominance components of variation, D and H, may be isolated, but the interaction and environmental components always appear as linear combinations of certain transforms, viz.[image]Where, in generations such as F3, the different families are raised in separate plots or groups, the environmental and interactive increments, e, gd, and gh, may be resolved into those within plots and those between plot means. If the variances and covariances of these increments may be assumed constant from plot to plot, then the interaction components of variation between plots may be isolated, but analysis of variation within plots is again possible only in terms of the transforms.

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