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Rice Genomics and Genetics 2013, Vol. 4, No. 5, 22-27
http://rgg.biopublisher.ca
24
components were significant. The GEI were
partitioned into four interactive principal components
namely PCA I, PCA II, PCA III and PCA IV with
contribution of 50.09, 36.84, 8.03 and 4.15 per cent,
respectively, to the total GEI variance. The first two
PCA components (PCA I and PCA II) for this model
were significant and explained 86.93% of the data
variability; however, PCA I explained the largest
percentage (50.09%) of the variability. PCA III, PCA
IV and the residual which accounted for 13.07% of the
interaction were not significant (Table 1).
Table 1 AMMI analysis of variance for grain yield of 19 BILs and three check varieties tested at 3 locations in six environments
Source of Variations
DF
Sum of Squares
Mean Squares
F Ratio Probability
Trials
131
147395184.00000 1125154.07634 1.529
0.01210 *
Genotypes
21
34403665.70058
1638269.79527 2.226
0.00424 **
Environments
5
35719678.82800
7143935.76560 9.707
0.00000 ***
G*E Interaction
105
77271839.47142
735922.28068
PCA I
25
38703783.86849
1548151.35474 2.104
0.00486 **
PCA II
23
28463319.16030
1237535.61567 1.682
0.04049 *
PCA III
21
6204521.03914
295453.38282
0.401
0.99031
PCA IV
19
3207422.69518
168811.72080
0.229
0.99963
Residual
17
692792.70831
40752.51225
0.055
1.00000
Pooled residual
105
77271839.47142 735922.28068
Variance
Variance %
Cumulative
Variance %
Comparison
S.E.D.
CD 5% CD 1% PCI 38703783.87
50.09 % 50.09 %
Genotype Gi - Gj
258.6543 512.8659 678.5668 PCAII 28463319.16
36.84 % 86.92 %
Enviornment Ei - Ej
495.2852 982.0634 1299.3565 PCAIII 6204521.04
8.03 %
94.95 %
PCAIV 3207422.71
4.15 %
99.10 %
Residual 692792.71
0.90 %
100.00 %
Table 2 Mean of grain yield (kg/ha) of 19 BILs and three checks grown in 6 environments and the PCA scores for the GE Interaction
effect as derived from AMMI analysis
A
B
C
D
E
F
G
H
I
J
1
BIL-5
5009.71 5255.37 5029.75 7800.00 6038.46 5288.50 5736.97 -8.92
2
BIL-6
5764.17 4973.49 4980.01 5700.00 5932.69 4415.00 5294.23 -6.32
3
BIL-48
3131.32 4888.69 4942.38 5650.00 4330.13 3865.50 4468.00 -11.17
4
BIL-50
3562.50 5398.89 4769.42 2700.00 5596.16 4713.50 4456.74 -1.47
5
BIL-57
7108.27 5354.90 5265.00 7350.00 5868.58 4390.00 5889.46 -11.45
6
BIL-60
5905.51 5374.81 5475.59 6600.00 6426.28 4079.50 5643.62 -5.54
7
BIL-73
4205.49 5429.59 5318.32 7950.00 6088.98 4404.50 5566.15 -7.36
8
BIL-77
1679.73 4190.35 4581.67 3850.00 4804.46 4508.50 3935.79 -3.60
9
BIL-83
3201.79 5474.33 5184.34 7650.00 6410.26 4165.50 5347.70 -3.46
10
BIL-90
4250.87 5467.57 4926.25 6900.00 5387.82 4332.00 5210.75 -9.45
11
BIL-93
3148.04 5205.59 5042.97 6450.00 5641.03 4362.50 4975.02 -5.81
12
BIL-118
4955.96 5316.47 5533.17 6450.00 5804.48 4499.00 5426.52 -8.00
13
BIL-142
6403.18 5613.68 5094.72 7700.00 6548.05 4142.50 5917.02 -7.01
14
BIL-149
6154.35 5605.72 5724.29 5550.00 6157.05 4740.00 5655.23 -6.99
15
BIL-150
6859.44 5374.81 5309.81 6150.00 5426.29 4348.50 5578.14 -11.91
16
BIL-163
4959.95 4678.07 4479.73 8100.00 6067.95 4225.00 5418.45 -7.00
17
BIL-174
4545.10 5444.47 5462.83 4950.00 6086.54 5168.00 5276.16 -4.41