Dissection of genotype-by-environment interaction and yield stability analysis in barley using AMMI model and stability statistics

Pour-Aboughadareh, Alireza; Barati, Ali; Koohkan, Shir Ali; Jabari, Mehdi; Marzoghian, Akbar; Gholipoor, Ahmad; Shahbazi-Homonloo, Kamal; Zali, Hassan; Poodineh, Omid; Kheirgo, Masoome

doi:10.1186/s42269-022-00703-5

Bulletin of the National Research Centre

Table 3 The mean yield (GY) and stability statistics values for 19 barley genotypes across ten tested environments

From: Dissection of genotype-by-environment interaction and yield stability analysis in barley using AMMI model and stability statistics

Genotype code	GY	S⁽¹⁾	S⁽²⁾	S⁽³⁾	S⁽⁶⁾	NP⁽¹⁾	NP⁽²⁾	NP⁽³⁾	NP⁽⁴⁾	KR	W_i²	σ_i²
G1	4.88 (3)	4.84 (4)	16.71 (4)	12.13 (2)	2.81 (5)	4.20 (7)	0.35 (7)	0.37 (2)	0.39 (3)	10 (2)	2.26 (7)	0.26 (7)
G2	4.81 (5)	5.33 (8)	22.62 (11)	17.25 (8)	2.78 (4)	3.70 (3)	0.31 (4)	0.42 (5)	0.45 (6)	14 (5)	2.68 (9)	0.31 (9)
G3	4.45 (13)	6.24 (15)	28.23 (14)	29.21 (15)	5.10 (14)	4.70 (12)	0.57 (14)	0.67 (13)	0.72 (13)	23 (12)	2.83 (10)	0.33 (10)
G4	4.81 (4)	6.51 (17)	34.46 (17)	25.21 (13)	4.10 (11)	5.00 (15)	0.30 (3)	0.49 (11)	0.53 (10)	18 (10)	3.10 (14)	0.36 (14)
G5	5.15 (1)	5.18 (7)	20.99 (8)	12.68 (3)	2.63 (2)	5.90 (18)	0.28 (2)	0.44 (6)	0.35 (2)	14 (5)	3.05 (13)	0.36 (13)
G6	3.77 (18)	3.36 (2)	9.34 (2)	22.73 (12)	6.43 (17)	5.30 (17)	2.27 (18)	1.52 (19)	0.91 (18)	26 (13)	2.45 (8)	0.28 (8)
G7	4.68 (9)	7.07 (18)	34.84 (18)	29.04 (14)	4.48 (12)	5.20 (16)	0.46 (11)	0.55 (12)	0.65 (12)	26 (13)	4.16 (17)	0.50 (17)
G8	4.42 (14)	6.07 (13)	27.43 (13)	30.48 (16)	4.81 (13)	4.40 (10)	0.55 (13)	0.68 (14)	0.75 (14)	26 (13)	3.02 (12)	0.35 (12)
G9	3.76 (19)	3.27 (1)	9.34 (1)	22.73 (11)	6.05 (16)	4.30 (9)	3.12 (19)	1.47 (18)	0.88 (16)	30 (16)	2.98 (11)	0.35 (11)
G10	4.73 (7)	4.02 (3)	11.43 (3)	8.65 (1)	2.27 (1)	3.00 (1)	0.24 (1)	0.32 (1)	0.34 (1)	8 (1)	1.36 (1)	0.15 (1)
G11	4.65 (10)	5.64 (12)	22.84 (12)	18.36 (9)	3.75 (9)	4.10 (5)	0.38 (8)	0.39 (3)	0.50 (9)	12 (4)	1.44 (2)	0.16 (2)
G12	4.75 (6)	5.38 (9)	20.18 (7)	14.89 (4)	2.95 (6)	3.90 (4)	0.32 (5)	0.41 (4)	0.44 (5)	11 (3)	2.14 (5)	0.25 (5)
G13	4.59 (11)	5.51 (10)	21.38 (90	18.50 (10)	3.85 (10)	4.20 (7)	0.40 (10)	0.46 (10)	0.53 (11)	15 (8)	1.66 (4)	0.19 (4)
G14	4.38 (15)	8.20 (19)	50.32 (19)	49.77 (19)	7.14 (18)	7.10 (19)	0.81 (15)	0.80 (16)	0.90 (17)	34 (19)	7.48 (19)	0.91 (19)
G15	4.53 (12)	5.09 (5)	18.10 (5)	16.13 (7)	3.49 (8)	3.60 (2)	0.39 (9)	0.45 (8)	0.50 (8)	15 (8)	1.61 (3)	0.18 (3)
G16	4.72 (8)	5.13 (6)	18.90 (6)	15.05 (5)	3.10 (7)	4.10 (5)	0.32 (6)	0.45 (7)	0.45 (7)	14 (5)	2.20 (6)	0.25 (6)
G17	4.37 (16)	6.33 (16)	32.77 (16)	36.41 (17)	5.85 (15)	4.50 (11)	0.85 (16)	0.69 (15)	0.78 (15)	31 (17)	3.15 (15)	0.37 (15)
G18	4.01 (17)	6.22 (14)	28.84 (15)	41.87 (18)	7.16 (19)	4.90 (13)	1.20 (17)	0.92 (17)	1.00 (19)	33 (18)	3.42 (16)	0.40 (16)
G19	5.11 (2)	5.51 (10)	22.44 (10)	15.54 (6)	2.77 (3)	4.90 (13)	0.53 (12)	0.46 (9)	0.42 (4)	20 (11)	5.63 (18)	0.68 (18)

Genotype code	S_di²	bi	CV	θ_i	θ_i'	Pi	R²	ASV	SIPC	EV	Za	WAASB
G1	0.32 (11)	0.94 (9)	21.91 (3)	0.35 (7)	0.32 (13)	0.47 (3)	0.78 (12)	0.79 (11)	1.19 (4)	0.03 (5)	0.14 (8)	0.30 (9)
G2	0.38 (13)	1.05 (12)	24.83 (9)	0.35 (9)	0.34 (11)	0.74 (7)	0.79 (11)	0.83 (14)	1.40 (7)	0.04 (9)	0.15 (12)	0.34 (12)
G3	0.37 (12)	1.17 (16)	29.14 (17)	0.35 (10)	0.35 (10)	1.10 (13)	0.83 (9)	0.79 (12)	1.73 (15)	0.05 (13)	0.18 (16)	0.40 (16)
G4	0.22 (3)	1.41 (15)	30.84 (18)	0.35 (14)	0.37 (6)	0.66 (4)	0.92 (1)	0.85 (15)	1.58 (12)	0.04 (7)	0.17 (15)	0.39 (15)
G5	0.25 (7)	1.38 (14)	28.39 (16)	0.35 (13)	0.36 (7)	0.42 (2)	0.91 (2)	0.82 (13)	1.63 (13)	0.04 (10)	0.17 (14)	0.37 (14)
G6	0.30 (9)	1.20 (5)	34.57 (19)	0.35 (8)	0.33 (12)	2.15 (18)	0.86 (5)	0.18 (1)	1.45 (9)	0.05 (14)	0.11 (5)	0.22 (5)
G7	0.59 (17)	1.00 (17)	25.99 (13)	0.34 (17)	0.43 (3)	0.88 (11)	0.69 (15)	0.56 (10)	2.21 (17)	0.10 (16)	0.20 (17)	0.42 (17)
G8	0.43 (14)	1.03 (10)	26.90 (14)	0.35 (12)	0.36 (8)	1.20 (14)	0.76 (13)	0.55 (9)	1.63 (13)	0.06 (15)	0.15 (10)	0.31 (10)
G9	0.25 (8)	0.64 (12)	20.81 (2)	0.35 (11)	0.36 (9)	2.24 (19)	0.68 (16)	0.85 (16)	1.43 (8)	0.04 (8)	0.15 (11)	0.34 (12)
G10	0.19 (2)	1.01 (8)	23.08 (6)	0.36 (1)	0.27 (19)	0.73 (6)	0.87 (4)	0.53 (8)	1.24 (5)	0.02 (3)	0.13 (7)	0.28 (8)
G11	0.13 (1)	0.76 (2)	17.86 (1)	0.36 (2)	0.27 (18)	0.76 (8)	0.85 (6)	0.42 (7)	0.88 (1)	0.01 (1)	0.09 (2)	0.19 (2)
G12	0.24 (6)	1.22 (3)	27.49 (15)	0.36 (5)	0.31 (15)	0.70 (5)	0.89 (3)	0.20 (3)	1.28 (6)	0.04 (6)	0.10 (3)	0.21 (3)
G13	0.24 (5)	1.00 (6)	24.04 (7)	0.36 (4)	0.28 (16)	0.88 (10)	0.85 (8)	0.24 (5)	1.54 (11)	0.04 (10)	0.13 (6)	0.26 (6)
G14	0.82 (19)	0.56 (19)	22.40 (4)	0.32 (19)	0.62 (1)	1.42 (16)	0.34 (19)	1.51 (19)	2.62 (19)	0.11 (17)	0.29 (19)	0.65 (19)
G15	0.23 (4)	1.00 (1)	24.14 (8)	0.36 (3)	0.28 (17)	0.94 (12)	0.85 (7)	0.33 (6)	0.88 (2)	0.02 (2)	0.09 (1)	0.19 (1)
G16	0.31 (10)	1.07 (4)	25.18 (11)	0.35 (6)	0.31 (14)	0.78 (9)	0.83 (9)	0.20 (4)	1.16 (3)	0.03 (4)	0.10 (3)	0.21 (4)
G17	0.44 (15)	0.91 (11)	24.96 (10)	0.35 (15)	0.37 (5)	1.27 (15)	0.71 (14)	0.86 (17)	1.46 (10)	0.05 (12)	0.15 (13)	0.34 (11)
G18	0.45 (16)	0.83 (7)	25.53 (12)	0.35 (16)	0.39 (4)	1.64 (17)	0.67 (17)	0.19 (2)	1.95 (16)	0.11 (19)	0.14 (9)	0.28 (7)
G19	0.77 (18)	0.85 (8)	22.66 (5)	0.33 (18)	0.52 (2)	0.35 (1)	0.55 (18)	0.87 (18)	2.29 (18)	0.11 (18)	0.24 (18)	0.52 (18)

GY grain yield, S⁽ⁱ⁾ Huehn’s (1979) and Nassar and Huehn’s (1987) nonparametric stability statistics, NP⁽ⁱ⁾ Thennarasu’s (1995) nonparametric stability statistics, LR Kang’s (1988) rank-sum, W_i² Wricke’s (1962) ecovalance, σ_i² Shukla’s (1972) stability variance
Numbers in parentheses indicate the ranking pattern of genotypes based on each stability statistic

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