Using shifted multiplicative model for test environments clusters of bread wheat in multienvironmental trials

Mohtasham Mohammadi


Yield stability is an interesting feature of todays bread wheat breeding programs, due to the high annual variation in mean yield,
particularly in the arid and semi-arid areas. The improvement of new genotypes with acceptable yield stability in different environments
is an important issue in breeding programs.The shifted multiplicative model (SHMM) model has been proposed for the analysis of
genotype by environmental (GE) interaction for clustering test environments regarding non-crossover or additive GE interaction. The
objective of this investigation was to using SHMM model for GE interaction of 20 bread wheat genotypes. The experimental design was
a randomized complete block design with 4 replications. The combined analysis of variance indicated that environments (E), genotypes
(G) and GE interaction effects were highly significant, suggesting differential responses of the genotypes and the need for stability
analysis. According to dendogram of SHMM, there were three different environmental groups; cluster I consist on test environments S1
(Gachsaran in year 2008) and S9 (Khoramabad in year 2010), cluster II consist on test environments S2 (Gachsaran in year 2009), S4
(Gonbad in year 2008) and S5 (Gonbad in year 2009), and cluster III consist on test environments S3 (Gachsaran in year 2010), S6
(Gonbad in year 2010), S7 (Khoramabad in year 2008), S8 (Khoramabad in year 2009), S10 (Moghan in year 2009) and S11 (Moghan in
year 2010). Finally, the results of SHMM model in general confirmed the breeding value of the genotypes, obtained on the basis of the
yield stability evaluation.Such an outcome could be regularly applied in the future to exploration bread wheat genotypes and other crops
based on clustering method or other models in the other areas of the world.

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