类型 | 拟合模型 | 决定系数 | 样本量 |
二次多项式模型 | y=0.0744x2-0.0701x+0.0416 | 0.9609** | 8 |
指数函数模型 | y=0.0188e1.1107x | 0.9531** | 8 |
幂函数模型 | y=0.1134x1.0511 | 0.9463** | 8 |
注:y表示饱和截留量,单位:mm;x表示叶面积指数。**表示拟合模型达到0.01显著性水平。 |
Citation: | Guo Jianping, Luan Qing, Wang Jingxuan, et al. Model construction of rainfall interception by maize canopy. J Appl Meteor Sci, 2020, 31(4): 397-404. DOI: 10.11898/1001-7313.20200402. |
Table 1 The fitting model for saturated interception and leaf area index
类型 | 拟合模型 | 决定系数 | 样本量 |
二次多项式模型 | y=0.0744x2-0.0701x+0.0416 | 0.9609** | 8 |
指数函数模型 | y=0.0188e1.1107x | 0.9531** | 8 |
幂函数模型 | y=0.1134x1.0511 | 0.9463** | 8 |
注:y表示饱和截留量,单位:mm;x表示叶面积指数。**表示拟合模型达到0.01显著性水平。 |
Table 2 The fitting model for interception and leaf area index
降水量/mm | 拟合模型 | 样本量 | 决定系数 |
y=0.0038x2+0.027x+0.0064 | 8 | 0.9794** | |
0.3 | y=0.0119e0.7383x | 8 | 0.8983** |
y=0.0475x0.7716 | 8 | 0.9699** | |
y=0.0045x2+0.0407x+0.004 | 8 | 0.9934** | |
0.7 | y=0.0125e0.7393x | 8 | 0.7900** |
y=0.0555x1.0226 | 8 | 0.9481** | |
y=0.0197x2+0.0144x+0.0096 | 8 | 0.9809** | |
1.2 | y=0.0147e0.895x | 8 | 0.9286** |
y=0.0637x1.0568 | 8 | 0.9479** | |
y=0.0455x2-0.0631x+0.0324 | 8 | 0.9534** | |
2.1 | y=0.0162e0.8868x | 8 | 0.9486** |
y=0.0911x0.8753 | 8 | 0.9384** | |
y=0.0147x2+0.0436x+0.0072 | 8 | 0.966** | |
2.7 | y=0.0203e0.7453x | 8 | 0.7447** |
y=0.0771x1.1306 | 8 | 0.9357** | |
y=0.0306x2+0.0003x+0.0207 | 8 | 0.9648** | |
3.0 | y=0.0166e0.9196x | 8 | 0.9148** |
y=0.1017x0.8736 | 8 | 0.9636** | |
y=0.0322x2+0.0391x+0.0097 | 8 | 0.9921** | |
7.8 | y=0.0272e0.7986x | 8 | 0.8618** |
y=0.119x1.0613 | 8 | 0.9450** | |
注:y表示截留量,单位:mm;x表示叶面积指数。**表示拟合模型达到0.01显著性水平。 |
Table 3 The fitting model for interception and rainfall
叶面积指数 | 拟合模型 | 样本量 | 决定系数 |
1 | y=0.0005x2+0.0017x+0.0389 | 7 | 0.4967 |
y=0.0338e0.1046x | 7 | 0.2349 | |
y=0.0405x0.1716 | 7 | 0.1124 | |
y=0.0107lnx+0.0436 | 7 | 0.2944 | |
2 | y=-0.0007x2+0.0235x+0.077 | 7 | 0.8623** |
y=0.0887e0.1229x | 7 | 0.7496* | |
y=0.1047x0.2927 | 7 | 0.7567** | |
y=0.0387lnx+0.1089 | 7 | 0.7403* | |
3 | y=-0.0046x2+0.0744x+0.1168 | 7 | 0.9738** |
y=0.1657e0.1371x | 7 | 0.7489* | |
y=0.1948x0.373 | 7 | 0.9864** | |
y=0.0873lnx+0.207 | 7 | 0.9557** | |
4 | y=-0.0113x2+0.1553x+0.1542 | 7 | 0.9196** |
y=0.2595e0.1495x | 7 | 0.6399* | |
y=0.306x0.4298 | 7 | 0.9405** | |
y=0.157lnx+0.3355 | 7 | 0.9345** | |
5 | y=-0.0206x2+0.2635x+0.201 | 7 | 0.836** |
y=0.3764e0.157x | 7 | 0.554 | |
y=0.4436x0.4685 | 7 | 0.8779** | |
y=0.2458lnx+0.5018 | 7 | 0.8668** | |
注:y表示截留量,单位:mm;x表示降水量,单位:mm。*和**分别表示拟合模型达到0.05和0.01显著性水平。 |
Table 4 Interception rate of different leaf areas under some rainfall levels(unit:%)
叶面积指数 | 降水量 | |||
2 mm | 5 mm | 10 mm | 20 mm | |
1 | 2.7 | 1.8 | 1.3 | 0.8 |
2 | 6.4 | 3.4 | 2.0 | 1.2 |
3 | 12.7 | 5.7 | 3.3 | 1.8 |
4 | 21.4 | 9.4 | 5.0 | 2.7 |
5 | 32.7 | 13.9 | 7.3 | 3.8 |
6 | 46.4 | 19.4 | 10.0 | 5.2 |
Table 5 Independent sample verification of fitting model
降水量/mm | 叶面积指数 | 截留量 | ||
实测/mm | 模拟/mm | 误差/% | ||
1.4 | 0.0378 | 0.0051 | 0.0128 | 151.0 |
0.1647 | 0.0140 | 0.0135 | -3.6 | |
0.2647 | 0.0260 | 0.0146 | -43.8 | |
0.7221 | 0.0307 | 0.0258 | -16.0 | |
1.6381 | 0.0674 | 0.0799 | 18.5 | |
1.6928 | 0.0847 | 0.0844 | -0.3 | |
2.5363 | 0.1883 | 0.1736 | -7.8 | |
4.1837 | 0.5383 | 0.4504 | -16.3 | |
2.0 | 0.1349 | 0.0113 | 0.0290 | 156.6 |
0.1586 | 0.0133 | 0.0291 | 118.8 | |
0.8439 | 0.0420 | 0.0463 | 10.2 | |
1.3391 | 0.0567 | 0.0733 | 29.3 | |
1.9770 | 0.1107 | 0.1262 | 14.0 | |
2.1979 | 0.1427 | 0.1493 | 4.5 | |
2.6974 | 0.2701 | 0.2104 | -22.1 | |
3.1516 | 0.3449 | 0.2768 | -19.7 |
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