Table 1.

Selection and stability indices used in the present study.

No.	Index	Equation	Reference
1	LMM	$\mathrm{y}=\text{Xb}+\text{Zu}+\mathrm{e}$	[28]
2	Ideotype design and rescaling the traits	$r{X}_{ij}=\frac{{\eta }_{nj}-{\mathrm{\phi }}_{nj}}{{\eta }_{oj}-{\mathrm{\phi }}_{oj}}\times \left({\theta }_{ij}-{\eta }_{0j}\right)+{\eta }_{nj}$
3	Broad-sense heritability$\left({\mathit{h}}^{\mathbf{2}}\right)$	$h^2={\hat{\sigma }}_{\alpha }^2/\left({\hat{\sigma }}_{\alpha }^2+{\hat{\sigma }}_{ϵ}^2/r\right)$
4	SG (%)	$SG(\%)=\frac{\left({\bar{X}}_s-{\bar{X}}_o\right)\times h^2}{{\bar{X}}_o}\times 100$
5	MGIDI	${MGIDI}_i={\left[\sum _{j=1}^f{\left({\mathrm{\gamma }}_{ij}-{\mathrm{\gamma }}_j\right)}^2\right]}^{0.5}$
6	Strength and weaknesses of selected genotypes (MGIDI)	${\omega }_{ij}=\frac{\sqrt{D_{ij}^2}}{{\sum }_{j=1}^f\sqrt{D_{ij}^2}}$
7	SH	b = P−1Aw	[14]
8	FAI-BLUP	$P_{ij}=\frac{\frac{1}{d_{ij}}}{\sum _{i=1:j=1}^{i=n:j=m}\frac{1}{d_{ij}}}$
9	Factor analysis	$X=\mu +Lf+\epsilon$	[28]
10	Factor loadings	$F=Z{\left(A^T{R}^{-1}\right)}^T$
11	AMMI	Yij = μ+Gi + Ej+ $\sum _{k=1}^n\mathrm{\lambda }$kαikγjk+εij	[29]
12	WAAS	${\text{WAAS}}_{\mathrm{i}}=\frac{\sum _{\mathrm{k}=1}^{\mathrm{P}}\left|{\text{IPCA}}_{\text{ik}}\times {\text{EP}}_{\mathrm{k}}\right|}{\sum _{\mathrm{k}=1}^{\mathrm{P}}{\text{EP}}_{\mathrm{k}}}$
13	WAASB	${\text{WAASB}}_{\mathrm{i}}=\frac{\sum _{\mathrm{k}=1}^{\mathrm{P}}\left|{\text{IPCA}}_{\text{ik}}\times {\text{EP}}_{\mathrm{k}}\right|}{\sum _{\mathrm{k}=1}^{\mathrm{P}}{\text{EP}}_{\mathrm{k}}}$
14	WAASBY	$\begin{array}{rr}& \\ {\text{WAASBY}}_{\mathrm{i}}& =\frac{\left(r{G}_g\times {\theta }_Y\right)+\left(r{W}_g\times {\theta }_S\right)}{{\theta }_Y+{\theta }_S}\end{array}$
15	GGE biplot	$Y_{\text{ij}}-\mu -{\beta }_{\mathrm{j}}={\lambda }_1{\xi }_{\mathrm{i}1}{\eta }_{\mathrm{j}1}+{\lambda }_2{\xi }_{\mathrm{i}2}{\eta }_{\mathrm{j}2}+{\epsilon }_{\text{ij}}$
16	MTSI	${\text{MTSI}}_i={\left[\sum _{j=1}^f{\left({\gamma }_{ij}-{\gamma }_j\right)}^2\right]}^{0.5}$	[20]