22. Genotype X Environment Interaction
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since 17 October 1995 
Updated notes
AMMI (Additive main effects, multiplicative interaction) Models
Our discussion of the various ways to characterize interaction effects (pp. 672678) failed to mention the powerful AMMI approach (Gauch 1988, 1992), which is an important major extension of the joint regression approach. An introduction can be found on pages 811 in the pdf file of
Chapter 11 in
Volume 2.
AMMI analysis is very closely related to biplots, and there are a few
commerical packages for such analysis.
Some references:

Gauch, H. G. 1988. Model selection and validation for yield traits with interaction. Biometrics 44: 705715.

Gauch, H. G. 1992. Statistical Analysis of Regional Yield Trials: AMMI analysis of factorial designs Elsevier. This is a very nice, and quite readable, introduction. Chapter 3 is especially nice in reviewing the variety of jointregression models to partition G x E.

Romagosa et al. 1996. Use of additive main effects and multiplicative interaction model in QTL maaping for adaption in barely. Theor. Appl. Genet. 93: 3037.
 Piepho, H. P. 1988. Methods for comparing the yield stability of cropping systems  a review. Journal of Agronomy and Crop Science 180: 193213.
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Created 12 May 1995, last updated 20 Feb 1996
Bruce Walsh. jbwalsh@u.arizona.edu .
Comments welcome.