Chinese Bulletin of Botany ›› 2022, Vol. 57 ›› Issue (4): 479-489.DOI: 10.11983/CBB22066
• EXPERIMENTAL COMMUNICATIONS • Previous Articles Next Articles
Guo Shuya1, Ai Jinxiang1, Chen Hongyu1, Shao Yeyao1, Wang Yan1, Wang Qian1, Ye Yitong1, Zhang Yating1, Ding Zhexiao1, Wu Haochen1, Wu Yuhuan2,3, Zhang Jianxin4, Rao Mide1,*(), Liu Peng1,*()
Received:
2022-04-08
Revised:
2022-05-12
Online:
2022-07-01
Published:
2022-07-14
Contact:
Rao Mide,Liu Peng
Guo Shuya, Ai Jinxiang, Chen Hongyu, Shao Yeyao, Wang Yan, Wang Qian, Ye Yitong, Zhang Yating, Ding Zhexiao, Wu Haochen, Wu Yuhuan, Zhang Jianxin, Rao Mide, Liu Peng. Establishment of a Comprehensive Evaluation System for Aluminum Tolerance in Tomato Seedlings Based on Principal Component Analysis-Clustering Analysis-Stepwise Regression Analysis[J]. Chinese Bulletin of Botany, 2022, 57(4): 479-489.
No. | Cultivar name | Origin |
---|---|---|
1 | Jinpeng1 | Xian jinpeng seed |
2 | Zhefen202 | Zhejiang Academy of Agricultural Sciences |
3 | Jinpeng3 | Xian jinpeng seed |
4 | Zhongshu4 | Institute of Vegetables and Flowers, Chinese Academy of Agricultural Sciences |
5 | Puluowangsi | Shouguang Xinxinran Horticulture Co., Ltd. |
6 | Qianxi | Known-You Seed (China) Co., Ltd. |
7 | Hongshengnv | Hejin Agricultural Science and Technology Hebei Co., Ltd. |
8 | Xianke8 | JingyanYinong (Beijing) Seed Technology Co., Ltd. |
9 | Hezuo903 | Shanghai Tomato Institute |
10 | Nongbofen3 | Shijiazhuang Nongboshi Science and Tech- nology Development Co., Ltd. |
Table 1 Source of test Solanum lycopersicum germplasms
No. | Cultivar name | Origin |
---|---|---|
1 | Jinpeng1 | Xian jinpeng seed |
2 | Zhefen202 | Zhejiang Academy of Agricultural Sciences |
3 | Jinpeng3 | Xian jinpeng seed |
4 | Zhongshu4 | Institute of Vegetables and Flowers, Chinese Academy of Agricultural Sciences |
5 | Puluowangsi | Shouguang Xinxinran Horticulture Co., Ltd. |
6 | Qianxi | Known-You Seed (China) Co., Ltd. |
7 | Hongshengnv | Hejin Agricultural Science and Technology Hebei Co., Ltd. |
8 | Xianke8 | JingyanYinong (Beijing) Seed Technology Co., Ltd. |
9 | Hezuo903 | Shanghai Tomato Institute |
10 | Nongbofen3 | Shijiazhuang Nongboshi Science and Tech- nology Development Co., Ltd. |
No. | X1 | X2 | X3 | X4 | X5 | X6 | X7 | X8 | X9 | X10 | X11 | X12 | X13 | X14 | X15 | X16 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1 | 1.09 | 0.54 | 1.01 | 0.86 | 0.35 | 0.60 | 0.84 | 0.35 | 0.88 | 0.55 | 0.82 | 0.22 | 0.59 | 0.95 | 0.67 | 0.70 |
2 | 1.03 | 0.65 | 1.61 | 1.18 | 0.57 | 0.61 | 0.99 | 0.54 | 0.74 | 0.28 | 0.85 | 0.17 | 0.41 | 0.73 | 0.27 | 0.24 |
3 | 1.07 | 0.54 | 0.87 | 1.51 | 0.49 | 0.57 | 0.96 | 0.45 | 0.77 | 0.49 | 0.79 | 0.14 | 0.65 | 0.85 | 0.21 | 0.41 |
4 | 1.02 | 0.59 | 1.23 | 1.49 | 0.29 | 0.43 | 0.90 | 0.29 | 0.90 | 0.64 | 0.61 | 0.38 | 0.69 | 1.15 | 0.29 | 0.43 |
5 | 1.04 | 0.44 | 1.19 | 0.91 | 0.14 | 0.13 | 0.97 | 0.10 | 0.56 | 0.22 | 0.74 | 0.24 | 0.53 | 0.61 | 0.33 | 0.15 |
6 | 1.08 | 0.59 | 1.17 | 1.37 | 0.54 | 1.18 | 0.52 | 0.54 | 1.01 | 0.69 | 0.98 | 0.40 | 1.09 | 0.84 | 0.94 | 0.80 |
7 | 1.03 | 0.42 | 0.60 | 1.11 | 0.22 | 0.17 | 1.05 | 0.21 | 0.86 | 0.44 | 0.81 | 0.33 | 0.56 | 0.70 | 0.40 | 0.29 |
8 | 1.06 | 0.24 | 2.60 | 1.37 | 0.24 | 0.20 | 1.09 | 0.24 | 0.87 | 0.30 | 0.78 | 0.27 | 0.54 | 0.66 | 0.42 | 0.51 |
9 | 0.98 | 0.36 | 1.33 | 0.53 | 0.33 | 0.24 | 1.28 | 0.46 | 0.72 | 0.23 | 0.69 | 0.32 | 0.20 | 0.90 | 0.26 | 0.33 |
10 | 1.02 | 0.51 | 1.18 | 1.27 | 0.72 | 0.68 | 1.01 | 0.67 | 0.66 | 0.52 | 0.76 | 0.17 | 0.48 | 0.84 | 0.38 | 0.40 |
Average | 1.04 | 0.49 | 1.28 | 1.16 | 0.39 | 0.48 | 0.96 | 0.38 | 0.80 | 0.44 | 0.78 | 0.26 | 0.57 | 0.82 | 0.42 | 0.43 |
Coefficient variation | 0.00 | 0.02 | 0.29 | 0.10 | 0.03 | 0.10 | 0.04 | 0.03 | 0.02 | 0.03 | 0.01 | 0.01 | 0.05 | 0.03 | 0.05 | 0.04 |
Table 2 Aluminum tolerance coefficient of each individual index in Solanum lycopersicum seedlings under aluminum stress
No. | X1 | X2 | X3 | X4 | X5 | X6 | X7 | X8 | X9 | X10 | X11 | X12 | X13 | X14 | X15 | X16 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1 | 1.09 | 0.54 | 1.01 | 0.86 | 0.35 | 0.60 | 0.84 | 0.35 | 0.88 | 0.55 | 0.82 | 0.22 | 0.59 | 0.95 | 0.67 | 0.70 |
2 | 1.03 | 0.65 | 1.61 | 1.18 | 0.57 | 0.61 | 0.99 | 0.54 | 0.74 | 0.28 | 0.85 | 0.17 | 0.41 | 0.73 | 0.27 | 0.24 |
3 | 1.07 | 0.54 | 0.87 | 1.51 | 0.49 | 0.57 | 0.96 | 0.45 | 0.77 | 0.49 | 0.79 | 0.14 | 0.65 | 0.85 | 0.21 | 0.41 |
4 | 1.02 | 0.59 | 1.23 | 1.49 | 0.29 | 0.43 | 0.90 | 0.29 | 0.90 | 0.64 | 0.61 | 0.38 | 0.69 | 1.15 | 0.29 | 0.43 |
5 | 1.04 | 0.44 | 1.19 | 0.91 | 0.14 | 0.13 | 0.97 | 0.10 | 0.56 | 0.22 | 0.74 | 0.24 | 0.53 | 0.61 | 0.33 | 0.15 |
6 | 1.08 | 0.59 | 1.17 | 1.37 | 0.54 | 1.18 | 0.52 | 0.54 | 1.01 | 0.69 | 0.98 | 0.40 | 1.09 | 0.84 | 0.94 | 0.80 |
7 | 1.03 | 0.42 | 0.60 | 1.11 | 0.22 | 0.17 | 1.05 | 0.21 | 0.86 | 0.44 | 0.81 | 0.33 | 0.56 | 0.70 | 0.40 | 0.29 |
8 | 1.06 | 0.24 | 2.60 | 1.37 | 0.24 | 0.20 | 1.09 | 0.24 | 0.87 | 0.30 | 0.78 | 0.27 | 0.54 | 0.66 | 0.42 | 0.51 |
9 | 0.98 | 0.36 | 1.33 | 0.53 | 0.33 | 0.24 | 1.28 | 0.46 | 0.72 | 0.23 | 0.69 | 0.32 | 0.20 | 0.90 | 0.26 | 0.33 |
10 | 1.02 | 0.51 | 1.18 | 1.27 | 0.72 | 0.68 | 1.01 | 0.67 | 0.66 | 0.52 | 0.76 | 0.17 | 0.48 | 0.84 | 0.38 | 0.40 |
Average | 1.04 | 0.49 | 1.28 | 1.16 | 0.39 | 0.48 | 0.96 | 0.38 | 0.80 | 0.44 | 0.78 | 0.26 | 0.57 | 0.82 | 0.42 | 0.43 |
Coefficient variation | 0.00 | 0.02 | 0.29 | 0.10 | 0.03 | 0.10 | 0.04 | 0.03 | 0.02 | 0.03 | 0.01 | 0.01 | 0.05 | 0.03 | 0.05 | 0.04 |
Index | X1 | X2 | X3 | X4 | X5 | X6 | X7 | X8 | X9 | X10 | X11 | X12 | X13 | X14 | X15 | X16 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
X1 | 1.00 | |||||||||||||||
X2 | 0.17 | 1.00 | ||||||||||||||
X3 | 0.00 | -0.48 | 1.00 | |||||||||||||
X4 | 0.40 | 0.30 | 0.13 | 1.00 | ||||||||||||
X5 | 0.07 | 0.55 | -0.08 | 0.31 | 1.00 | |||||||||||
X6 | 0.46 | 0.67* | -0.17 | 0.38 | 0.75* | 1.00 | ||||||||||
X7 | -0.70* | -0.60 | 0.22 | -0.46 | -0.28 | -0.80** | 1.00 | |||||||||
X8 | -0.08 | 0.47 | -0.06 | 0.14 | 0.96** | 0.72* | -0.17 | 1.00 | ||||||||
X9 | 0.44 | 0.16 | 0.04 | 0.41 | 0.01 | 0.47 | -0.56 | 0.05 | 1.00 | |||||||
X10 | 0.44 | 0.54 | -0.39 | 0.56 | 0.37 | 0.70* | -0.75* | 0.31 | 0.69* | 1.00 | ||||||
X11 | 0.61 | 0.27 | -0.05 | 0.16 | 0.38 | 0.65* | -0.63* | 0.31 | 0.40 | 0.24 | 1.00 | |||||
X12 | -0.17 | -0.14 | -0.02 | -0.03 | -0.41 | 0.04 | -0.26 | -0.28 | 0.59 | 0.32 | -0.03 | 1.00 | ||||
X13 | 0.69* | 0.39 | -0.18 | 0.62 | 0.14 | 0.68* | -0.93** | 0.04 | 0.66* | 0.77** | 0.56 | 0.40 | 1.00 | |||
X14 | -0.10 | 0.44 | -0.27 | 0.14 | 0.18 | 0.31 | -0.21 | 0.27 | 0.41 | 0.65* | -0.40 | 0.32 | 0.18 | 1.00 | ||
X15 | 0.62 | 0.17 | -0.05 | 0.06 | 0.16 | 0.67* | -0.79** | 0.15 | 0.63* | 0.56 | 0.72* | 0.42 | 0.72* | 0.06 | 1.00 | |
X16 | 0.65* | 0.16 | 0.06 | 0.25 | 0.27 | 0.70* | -0.69* | 0.30 | 0.78** | 0.72* | 0.50 | 0.32 | 0.671* | 0.40 | 0.84** | 1.00 |
Table 3 Correlation coefficient matrix of each individual index of Solanum lycopersicum seedlings under aluminum stress
Index | X1 | X2 | X3 | X4 | X5 | X6 | X7 | X8 | X9 | X10 | X11 | X12 | X13 | X14 | X15 | X16 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
X1 | 1.00 | |||||||||||||||
X2 | 0.17 | 1.00 | ||||||||||||||
X3 | 0.00 | -0.48 | 1.00 | |||||||||||||
X4 | 0.40 | 0.30 | 0.13 | 1.00 | ||||||||||||
X5 | 0.07 | 0.55 | -0.08 | 0.31 | 1.00 | |||||||||||
X6 | 0.46 | 0.67* | -0.17 | 0.38 | 0.75* | 1.00 | ||||||||||
X7 | -0.70* | -0.60 | 0.22 | -0.46 | -0.28 | -0.80** | 1.00 | |||||||||
X8 | -0.08 | 0.47 | -0.06 | 0.14 | 0.96** | 0.72* | -0.17 | 1.00 | ||||||||
X9 | 0.44 | 0.16 | 0.04 | 0.41 | 0.01 | 0.47 | -0.56 | 0.05 | 1.00 | |||||||
X10 | 0.44 | 0.54 | -0.39 | 0.56 | 0.37 | 0.70* | -0.75* | 0.31 | 0.69* | 1.00 | ||||||
X11 | 0.61 | 0.27 | -0.05 | 0.16 | 0.38 | 0.65* | -0.63* | 0.31 | 0.40 | 0.24 | 1.00 | |||||
X12 | -0.17 | -0.14 | -0.02 | -0.03 | -0.41 | 0.04 | -0.26 | -0.28 | 0.59 | 0.32 | -0.03 | 1.00 | ||||
X13 | 0.69* | 0.39 | -0.18 | 0.62 | 0.14 | 0.68* | -0.93** | 0.04 | 0.66* | 0.77** | 0.56 | 0.40 | 1.00 | |||
X14 | -0.10 | 0.44 | -0.27 | 0.14 | 0.18 | 0.31 | -0.21 | 0.27 | 0.41 | 0.65* | -0.40 | 0.32 | 0.18 | 1.00 | ||
X15 | 0.62 | 0.17 | -0.05 | 0.06 | 0.16 | 0.67* | -0.79** | 0.15 | 0.63* | 0.56 | 0.72* | 0.42 | 0.72* | 0.06 | 1.00 | |
X16 | 0.65* | 0.16 | 0.06 | 0.25 | 0.27 | 0.70* | -0.69* | 0.30 | 0.78** | 0.72* | 0.50 | 0.32 | 0.671* | 0.40 | 0.84** | 1.00 |
Index | Principle factors | ||||
---|---|---|---|---|---|
CI1 | CI2 | CI3 | CI4 | CI5 | |
X1 | 0.659 | -0.262 | -0.463 | -0.281 | 0.157 |
X2 | 0.568 | 0.546 | 0.244 | -0.377 | -0.082 |
X3 | -0.198 | -0.223 | -0.392 | 0.607 | 0.516 |
X4 | 0.508 | 0.047 | 0.010 | -0.206 | 0.788 |
X5 | 0.470 | 0.827 | -0.129 | 0.237 | 0.062 |
X6 | 0.902 | 0.363 | -0.077 | 0.126 | -0.093 |
X7 | -0.923 | 0.111 | 0.077 | 0.245 | 0.047 |
X8 | 0.409 | 0.795 | -0.024 | 0.424 | -0.062 |
X9 | 0.724 | -0.438 | 0.206 | 0.252 | 0.115 |
X10 | 0.864 | 0.010 | 0.412 | -0.092 | 0.110 |
X11 | 0.648 | 0.004 | -0.647 | -0.008 | -0.274 |
X12 | 0.249 | -0.648 | 0.481 | 0.253 | -0.214 |
X13 | 0.881 | -0.295 | -0.025 | -0.242 | 0.119 |
X14 | 0.357 | 0.137 | 0.850 | 0.158 | 0.074 |
X15 | 0.801 | -0.336 | -0.223 | 0.183 | -0.356 |
X16 | 0.841 | -0.233 | -0.016 | 0.359 | -0.030 |
Characteristic root | 7.111 | 2.764 | 2.092 | 1.326 | 1.231 |
Contribution rate (%) | 44.442 | 17.276 | 13.077 | 8.288 | 7.695 |
Cumulative contribution (%) | 44.442 | 61.719 | 74.796 | 83.084 | 90.779 |
Factor weight | 0.490 | 0.190 | 0.144 | 0.091 | 0.085 |
Table 4 Principal component analysis of 16 individual index of Solanum lycopersicum seedlings under aluminum stress
Index | Principle factors | ||||
---|---|---|---|---|---|
CI1 | CI2 | CI3 | CI4 | CI5 | |
X1 | 0.659 | -0.262 | -0.463 | -0.281 | 0.157 |
X2 | 0.568 | 0.546 | 0.244 | -0.377 | -0.082 |
X3 | -0.198 | -0.223 | -0.392 | 0.607 | 0.516 |
X4 | 0.508 | 0.047 | 0.010 | -0.206 | 0.788 |
X5 | 0.470 | 0.827 | -0.129 | 0.237 | 0.062 |
X6 | 0.902 | 0.363 | -0.077 | 0.126 | -0.093 |
X7 | -0.923 | 0.111 | 0.077 | 0.245 | 0.047 |
X8 | 0.409 | 0.795 | -0.024 | 0.424 | -0.062 |
X9 | 0.724 | -0.438 | 0.206 | 0.252 | 0.115 |
X10 | 0.864 | 0.010 | 0.412 | -0.092 | 0.110 |
X11 | 0.648 | 0.004 | -0.647 | -0.008 | -0.274 |
X12 | 0.249 | -0.648 | 0.481 | 0.253 | -0.214 |
X13 | 0.881 | -0.295 | -0.025 | -0.242 | 0.119 |
X14 | 0.357 | 0.137 | 0.850 | 0.158 | 0.074 |
X15 | 0.801 | -0.336 | -0.223 | 0.183 | -0.356 |
X16 | 0.841 | -0.233 | -0.016 | 0.359 | -0.030 |
Characteristic root | 7.111 | 2.764 | 2.092 | 1.326 | 1.231 |
Contribution rate (%) | 44.442 | 17.276 | 13.077 | 8.288 | 7.695 |
Cumulative contribution (%) | 44.442 | 61.719 | 74.796 | 83.084 | 90.779 |
Factor weight | 0.490 | 0.190 | 0.144 | 0.091 | 0.085 |
Index | Eigen vector of measured indicators | ||||
---|---|---|---|---|---|
1 | 2 | 3 | 4 | 5 | |
X1 | 0.247 | -0.157 | -0.320 | -0.244 | 0.142 |
X2 | 0.213 | 0.328 | 0.169 | -0.327 | -0.074 |
X3 | -0.074 | -0.134 | -0.271 | 0.527 | 0.465 |
X4 | 0.190 | 0.028 | 0.007 | -0.179 | 0.710 |
X5 | 0.176 | 0.497 | -0.089 | 0.205 | 0.056 |
X6 | 0.338 | 0.219 | -0.053 | 0.109 | -0.084 |
X7 | -0.346 | 0.067 | 0.053 | 0.213 | 0.043 |
X8 | 0.153 | 0.478 | -0.016 | 0.368 | -0.055 |
X9 | 0.272 | -0.263 | 0.143 | 0.219 | 0.104 |
X10 | 0.324 | 0.006 | 0.285 | -0.080 | 0.099 |
X11 | 0.243 | 0.002 | -0.447 | -0.007 | -0.247 |
X12 | 0.093 | -0.390 | 0.332 | 0.220 | -0.193 |
X13 | 0.330 | -0.177 | -0.017 | -0.210 | 0.107 |
X14 | 0.134 | 0.082 | 0.587 | 0.137 | 0.066 |
X15 | 0.300 | -0.202 | -0.154 | 0.159 | -0.321 |
X16 | 0.315 | -0.140 | -0.011 | 0.312 | -0.027 |
Table 5 Characteristic vector values of the comprehensive indexes of Solanum lycopersicum seedlings under aluminum stress
Index | Eigen vector of measured indicators | ||||
---|---|---|---|---|---|
1 | 2 | 3 | 4 | 5 | |
X1 | 0.247 | -0.157 | -0.320 | -0.244 | 0.142 |
X2 | 0.213 | 0.328 | 0.169 | -0.327 | -0.074 |
X3 | -0.074 | -0.134 | -0.271 | 0.527 | 0.465 |
X4 | 0.190 | 0.028 | 0.007 | -0.179 | 0.710 |
X5 | 0.176 | 0.497 | -0.089 | 0.205 | 0.056 |
X6 | 0.338 | 0.219 | -0.053 | 0.109 | -0.084 |
X7 | -0.346 | 0.067 | 0.053 | 0.213 | 0.043 |
X8 | 0.153 | 0.478 | -0.016 | 0.368 | -0.055 |
X9 | 0.272 | -0.263 | 0.143 | 0.219 | 0.104 |
X10 | 0.324 | 0.006 | 0.285 | -0.080 | 0.099 |
X11 | 0.243 | 0.002 | -0.447 | -0.007 | -0.247 |
X12 | 0.093 | -0.390 | 0.332 | 0.220 | -0.193 |
X13 | 0.330 | -0.177 | -0.017 | -0.210 | 0.107 |
X14 | 0.134 | 0.082 | 0.587 | 0.137 | 0.066 |
X15 | 0.300 | -0.202 | -0.154 | 0.159 | -0.321 |
X16 | 0.315 | -0.140 | -0.011 | 0.312 | -0.027 |
No. | Comprehensive index value | Subordinate function value | ||||||||
---|---|---|---|---|---|---|---|---|---|---|
CI1 | CI2 | CI3 | CI4 | CI5 | U(X1) | U(X2) | U(X3) | U(X4) | U(X5) | |
1 | 1.880 | -0.145 | -0.126 | 0.902 | 0.973 | 0.528 | 0.444 | 0.626 | 0.398 | 0.003 |
2 | 1.452 | 0.251 | -0.452 | 1.075 | 1.537 | 0.292 | 0.848 | 0.282 | 0.547 | 0.472 |
3 | 1.713 | 0.184 | -0.111 | 0.575 | 1.545 | 0.435 | 0.780 | 0.641 | 0.116 | 0.479 |
4 | 1.740 | -0.188 | 0.226 | 0.763 | 1.707 | 0.450 | 0.400 | 0.996 | 0.279 | 0.614 |
5 | 1.007 | -0.311 | -0.356 | 0.576 | 1.184 | 0.048 | 0.275 | 0.383 | 0.117 | 0.178 |
6 | 2.744 | -0.115 | -0.295 | 0.999 | 1.252 | 1.002 | 0.474 | 0.447 | 0.482 | 0.235 |
7 | 1.370 | -0.266 | -0.056 | 0.444 | 1.055 | 0.247 | 0.321 | 0.699 | 0.004 | 0.071 |
8 | 1.256 | -0.578 | -0.716 | 1.600 | 2.171 | 0.185 | 0.002 | 0.004 | 1.000 | 1.001 |
9 | 0.923 | -0.047 | -0.144 | 1.219 | 0.994 | 0.001 | 0.544 | 0.607 | 0.671 | 0.020 |
10 | 1.681 | 0.397 | -0.231 | 0.998 | 1.425 | 0.418 | 0.997 | 0.515 | 0.481 | 0.379 |
Table 6 Comprehensive index values and subordinate function values of Solanum lycopersicum seedlings under aluminum stress
No. | Comprehensive index value | Subordinate function value | ||||||||
---|---|---|---|---|---|---|---|---|---|---|
CI1 | CI2 | CI3 | CI4 | CI5 | U(X1) | U(X2) | U(X3) | U(X4) | U(X5) | |
1 | 1.880 | -0.145 | -0.126 | 0.902 | 0.973 | 0.528 | 0.444 | 0.626 | 0.398 | 0.003 |
2 | 1.452 | 0.251 | -0.452 | 1.075 | 1.537 | 0.292 | 0.848 | 0.282 | 0.547 | 0.472 |
3 | 1.713 | 0.184 | -0.111 | 0.575 | 1.545 | 0.435 | 0.780 | 0.641 | 0.116 | 0.479 |
4 | 1.740 | -0.188 | 0.226 | 0.763 | 1.707 | 0.450 | 0.400 | 0.996 | 0.279 | 0.614 |
5 | 1.007 | -0.311 | -0.356 | 0.576 | 1.184 | 0.048 | 0.275 | 0.383 | 0.117 | 0.178 |
6 | 2.744 | -0.115 | -0.295 | 0.999 | 1.252 | 1.002 | 0.474 | 0.447 | 0.482 | 0.235 |
7 | 1.370 | -0.266 | -0.056 | 0.444 | 1.055 | 0.247 | 0.321 | 0.699 | 0.004 | 0.071 |
8 | 1.256 | -0.578 | -0.716 | 1.600 | 2.171 | 0.185 | 0.002 | 0.004 | 1.000 | 1.001 |
9 | 0.923 | -0.047 | -0.144 | 1.219 | 0.994 | 0.001 | 0.544 | 0.607 | 0.671 | 0.020 |
10 | 1.681 | 0.397 | -0.231 | 0.998 | 1.425 | 0.418 | 0.997 | 0.515 | 0.481 | 0.379 |
No. | CAC value | Rank | A value | Rank | WAC value | Rank |
---|---|---|---|---|---|---|
1 | 0.688 | 5 | 0.470 | 5 | 0.687 | 5 |
2 | 0.680 | 6 | 0.435 | 6 | 0.673 | 6 |
3 | 0.673 | 7 | 0.505 | 4 | 0.668 | 7 |
4 | 0.707 | 3 | 0.517 | 3 | 0.701 | 2 |
5 | 0.518 | 10 | 0.157 | 10 | 0.509 | 10 |
6 | 0.859 | 1 | 0.709 | 1 | 0.859 | 1 |
7 | 0.576 | 8 | 0.289 | 7 | 0.569 | 8 |
8 | 0.712 | 2 | 0.268 | 8 | 0.694 | 4 |
9 | 0.573 | 9 | 0.255 | 9 | 0.565 | 9 |
10 | 0.704 | 4 | 0.545 | 2 | 0.700 | 3 |
Average | 0.669 | - | 0.415 | - | 0.662 | - |
Coefficient variation | 0.009 | - | 0.028 | - | 0.009 | - |
Table 7 CAC value, A value and WAC value for evaluation of aluminum tolerance of test Solanum lycopersicum germplasms
No. | CAC value | Rank | A value | Rank | WAC value | Rank |
---|---|---|---|---|---|---|
1 | 0.688 | 5 | 0.470 | 5 | 0.687 | 5 |
2 | 0.680 | 6 | 0.435 | 6 | 0.673 | 6 |
3 | 0.673 | 7 | 0.505 | 4 | 0.668 | 7 |
4 | 0.707 | 3 | 0.517 | 3 | 0.701 | 2 |
5 | 0.518 | 10 | 0.157 | 10 | 0.509 | 10 |
6 | 0.859 | 1 | 0.709 | 1 | 0.859 | 1 |
7 | 0.576 | 8 | 0.289 | 7 | 0.569 | 8 |
8 | 0.712 | 2 | 0.268 | 8 | 0.694 | 4 |
9 | 0.573 | 9 | 0.255 | 9 | 0.565 | 9 |
10 | 0.704 | 4 | 0.545 | 2 | 0.700 | 3 |
Average | 0.669 | - | 0.415 | - | 0.662 | - |
Coefficient variation | 0.009 | - | 0.028 | - | 0.009 | - |
Dependent variable | Multiple stepwise regression equation | r | R2 | F-value | P-value |
---|---|---|---|---|---|
A value | y=0.046+0.405X6+0.515X10-0.207X15+0.028X3 | 0.998 | 0.997 | 409.418 | 0.000 |
CAC value | y=0.295+0.173X6+0.0.083X3+0.226X10+0.108X9 | 0.997 | 0.993 | 178.487 | 0.000 |
WAC value | y=0.293+0.183X6+0.0.106X9+0.077X3+0.224X10 | 0.997 | 0.995 | 241.535 | 0.000 |
Table 8 Forecast of aluminum resistance model based on regression analysis
Dependent variable | Multiple stepwise regression equation | r | R2 | F-value | P-value |
---|---|---|---|---|---|
A value | y=0.046+0.405X6+0.515X10-0.207X15+0.028X3 | 0.998 | 0.997 | 409.418 | 0.000 |
CAC value | y=0.295+0.173X6+0.0.083X3+0.226X10+0.108X9 | 0.997 | 0.993 | 178.487 | 0.000 |
WAC value | y=0.293+0.183X6+0.0.106X9+0.077X3+0.224X10 | 0.997 | 0.995 | 241.535 | 0.000 |
No. | Primary value | Regression | Difference | Evaluation accuracy (%) |
---|---|---|---|---|
1 | 0.470 | 0.462 | 0.008 | 98.264 |
2 | 0.435 | 0.426 | 0.009 | 98.032 |
3 | 0.505 | 0.510 | -0.005 | 98.992 |
4 | 0.517 | 0.524 | -0.007 | 98.615 |
5 | 0.157 | 0.177 | -0.020 | 87.287 |
6 | 0.709 | 0.717 | -0.008 | 98.811 |
7 | 0.289 | 0.275 | 0.014 | 95.311 |
8 | 0.268 | 0.267 | 0.001 | 99.761 |
9 | 0.255 | 0.245 | 0.010 | 96.106 |
10 | 0.545 | 0.544 | 0.001 | 99.739 |
Table 9 Analysis of forecast accuracy of the aluminum tolerance regression equation of 10 Solanum lycopersicum germplasms
No. | Primary value | Regression | Difference | Evaluation accuracy (%) |
---|---|---|---|---|
1 | 0.470 | 0.462 | 0.008 | 98.264 |
2 | 0.435 | 0.426 | 0.009 | 98.032 |
3 | 0.505 | 0.510 | -0.005 | 98.992 |
4 | 0.517 | 0.524 | -0.007 | 98.615 |
5 | 0.157 | 0.177 | -0.020 | 87.287 |
6 | 0.709 | 0.717 | -0.008 | 98.811 |
7 | 0.289 | 0.275 | 0.014 | 95.311 |
8 | 0.268 | 0.267 | 0.001 | 99.761 |
9 | 0.255 | 0.245 | 0.010 | 96.106 |
10 | 0.545 | 0.544 | 0.001 | 99.739 |
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