Summary
Jinks and Pooni (1979) showed that when a single linear regression fails, two intersecting linear regressions are the most widely applicable model of the relationship between the interaction of genotype and environment and the additive environmental value ej. In theory two overlapping linear regressions should be a more appropriate model where many factors contribute to the interaction. We have therefore compared the goodness-of-fit of models based upon linear, quadratic, two overlapping linear and two intersecting linear regressions to the final heights of 81 inbred lines derived from the cross of varieties 1 and 5 of Nicotiana rustica raised in 15 environments, and of 60 inbred lines derived from the cross of varieties 2 and 12 of the same species raised in 14 environments. As controls, the same models have to be fitted to varieties 1 and 5 and their F1 and varieties 2 and 12 and their F1, raised in the majority of these environments.
The results of these analyses confirm the strictly linear relationships previously reported for varieties 1 and 5 and their F1. But as a result of segregation at many loci non-parental kinds of non-linear relationships occur among the inbred lines derived from this cross. They also confirm that for varieties 2 and 12 and their F1 two intersecting linear regressions provide the best fitting model of their responses to environmental differences. Among the inbred lines from this cross are found segregants with non-parental kinds of linear and quadratic relationships. Of the five regression models examined two intersecting linear regressions provide the best fitting model for the largest number of genotypes.
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Pooni, H., Jinks, J. Non-linear genotype × environment interactions. Heredity 45, 389–400 (1980). https://doi.org/10.1038/hdy.1980.81
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DOI: https://doi.org/10.1038/hdy.1980.81
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