Evaluation of Mean yield and stability of lentil genotypes using WAASB index and linear mixed effects model (LMM)

The aim of study was to evaluate the efficiency of yield stability analysis models by BLUP and AMMI models.

In this research, nineteen advanced lentil genotypes along with three cultivars of check Kimia, Bileh Sawar and local mass in agricultural research stations of Khorramabad, Ilam and Sararoud in the form of complete blocks design. Randomly with three repetitions and for two crop years (2018-2020), were evaluated. To quantify the genotypic stability, singular value decomposition (SVD) was used with a linear mixed effect model (LMM).

The likelihood ratio test (LRT) indicated that the effect of GEI was significant on seed yield. Therfore, the best linear unbiased predictors (BLUPs) analysis was considered appropriate for these data. Mosaic plot showed that the portion of sum squares of genotype (G) and sum squares of genotype by environment interaction (GEI) in total sum of squares (TSS) were 6.75% and 34.36%, respectively. The bilot of first principle component (PC1) of the environment versus nominal yield showed that genotypes 13, 6, 16, 9 and 10, were more stable.

Biplot of seed yield versus WAASB Showed that the genotypes 10, 16, 1, 20, 15,4,13 and 7 were very productive and stabile due to the large value of response variable (high seed yield) and high stability (low values of WAASB). Identification of genotypes with WAASBY showed genotypes 16 and 1 high yielding and stable, and therefore can be candidate for cultivar inteoduction.