How to understand the AMMI model

This article will explain in detail how to understand the AMMI model. The content of the article is of high quality, so the editor shares it for you as a reference. I hope you will have a certain understanding of the relevant knowledge after reading this article.

1. AMMI model definition

The full name of AMMI: Additive main multiplicative interaction, AMMI.

AMMI improves the accuracy of estimation by separating model errors and disturbances from the residuals of additive models. And with the help of double mapping, the interaction pattern between genotype and environment can be described and analyzed more intuitively.

Formula:

two。 Principal component meaning

Reference:

Https://www.slideshare.net/BalajiThorat/ammi-model-for-stability-analysis

In AMMI analysis, GbyE is divided into many principal components, and PC1 and PC2 are generally used in analysis.

Note that AMMI model analysis is meaningful only if PC1 and PC2 are significant in the AMMI model.

2.1 PC1

Generally speaking, PC1 is the response ratio of variety to environment in the interaction between variety and environment, which can be understood as the influence of environment in the interaction.

2.2 PC2

PC2 represents the part of the interaction between variety and environment that does not belong to the environmental impact.

3. Two graphs of AMMI model

In AMMI model analysis, there are generally two diagrams: PC1 VS Means and PC1 VS PC2.

3.1 PC1 VS Means

Here the X coordinate is the observed value (yield) of the variety, and the Y coordinate is

The more to the right of the variety, the higher the yield.

The more to the right of the location, the higher the average yield of the site.

The higher or lower the y value of the variety, the stronger the interaction effect.

The closer the PC1 score of the variety or site is to 0, the smaller the interaction effect is.

The closer the variety is to the site, the better the adaptability of the variety to the site.

3.2 PC1 VS PC2

Here the X coordinate is PC1,Y coordinate and the coordinate is PC2. Through this diagram, we comprehensively investigate the interaction between gene and environment.

This diagram, which describes the interaction between gene and environment, but does not take into account G, but only shows the emergence of GbyE,GGE double-labeled map, to examine the interaction between gene and environment, GGE is better.

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