البيئي × كفاءة بعض معادلات تحميل التداخل الوراثي

Abstract EN

Yield and other quantitative traits of crop plants, are among the most important in studying genotypes grown in multi-environments .

In this kind of studies , it is important to differentiate the best genotype in term of performance and stability across environments .

For the minor and multi- genes controlling quantitative traits, the traits of genotypes will be different from environment to another .Modern agriculture requires determining the stable and high performance genotype.

Such kind of studies requires analyzing data according to a specific equation or model.

In this article, ten known equations were applied on simulated data of 13 genotypes grown in eight environments.

These equations were of those published and well –known in literature .

There were three important attributes defined in this article .

The first, is defining the Ideal genotype as the one of highest performance and 100% stability, the second is the Optimum genotype : the one gets closer to the Ideal in performance and stability, and it was given clear values to be visually identified, and the third is next Optimum genotype that comes after the Optimum .

The simplest equation to identify stable genotype was: S % 1 S.D Xi. tability while only two equations succeeded to identify high performance and high stability genotype 1- Genotypic Resultant (GR) = ( 1- S.D / ̅i.) × ( ̅i.

/ ̅..) , 2- AMMI : Yger=μ + αg + βe + Σλnζgn ήen + ρge + εger .

Other equations, either faild to identify the Ideal or the Optimum, or next genotype to Optimum.

Accordingly, the equations of Shukla, Wricke, Eberhard and Russell, Lin et al , and others, were of stat istical approaches that do not fit G×E interaction analyses.