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If the number of replicates n in the environment is the same as the number of genotypes in the environment, the vector length of the environment is proportional to the heritability (H), similarly to the unscaled GGE biplot (Eq. 5). The smallest vector length (Fig. 2) represents the highest H (being a perfect fit, and hence no fit error), and the largest vector length (Fig. 3) represents the lowest H (being a perfect fit, and hence no repeatability).

From Equation 12a, it can be shown that this connection to the GGE biplot theory is the same as the relationship that is used when H is estimated by REML assuming the same number of replicates for each of the test environments.

The GGE biplot facilitates the quantitative evaluation of a single test environment along with its corresponding genotype means. However, the the construct of GGE biplot is not suitable for the evaluation of many test environments. For instance, when H is low for all test environments, the number of replicates in the environment has no effect on the vector length (Eq. 12a), and hence it is not suitable for the evaluation of many test environments. To account for this, we provide the equation to calculate the vector length of an environment in the most appropriate scale corresponding to H (Equation 12b). d2c66b5586