Scientia Silvae Sinicae ›› 2021, Vol. 57 ›› Issue (3): 39-50.doi: 10.11707/j.1001-7488.20210305
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Hao Zang1,Hongsheng Liu2,Jincheng Huang2,Zudong Zhang2,Xunzhi Ouyang1,Jinkui Ning1,*
Received:
2019-03-11
Online:
2021-03-25
Published:
2021-04-07
Contact:
Jinkui Ning
CLC Number:
Hao Zang,Hongsheng Liu,Jincheng Huang,Zudong Zhang,Xunzhi Ouyang,Jinkui Ning. Effects of Competition, Climate Factors and Their Interactions on Diameter Growth for Chinese Fir Plantations[J]. Scientia Silvae Sinicae, 2021, 57(3): 39-50.
Table 1
Data statistics"
变量Variables | 平均值Mean | 标准差SD | 最大值Max. | 最小值Min. |
年龄Age/a | 11 | 6 | 33 | 4 |
胸径Diameter at breast height(D)/cm | 12.1 | 5.2 | 41.1 | 5.0 |
胸径生长量Diameter increment/(cm·a-1) | 0.7 | 0.3 | 2.0 | 0 |
株数Number of trees (N)(trees·hm-2) | 3 103 | 1 324 | 6 400 | 260 |
断面积Basal area(BA)/(m2·hm-2) | 32.6 | 11.3 | 50.4 | 1.5 |
蓄积Volume/(m3·hm-2) | 136.8 | 63.6 | 244.4 | 1.4 |
海拔Elevation/m | 447 | 195 | 1 170 | 190 |
坡度Slope/(°) | 25 | 7 | 41 | 10 |
平均温度Mean temperature(Tmean)/℃ | 19.3 | 2.1 | 22.1 | 16.0 |
最高温度Maximum temperature(Tmax)/℃ | 31.2 | 2.2 | 34.5 | 28.6 |
最低温度Minimum temperature (Tmin)/℃ | 4.2 | 1.2 | 5.8 | 1.3 |
降水量Precipitation(PPT)/mm | 1 820 | 263 | 2 248 | 1 347 |
大于5 ℃的积温Acumulated temperature greater than 5 ℃(AT5)/℃ | 5 175 | 369 | 5 818 | 4 044 |
Table 2
Parameter estimates for equation (16)"
参数 Parameter | 最小二乘法 Least squares | 分位数回归Quantile regression | |||||||||
τ=0.90 | τ=0.95 | τ=0.99 | |||||||||
估计值 Estimates | 标准差 SD | 估计值 Estimates | 标准差 SD | 估计值 Estimates | 标准差 SD | 估计值 Estimates | 标准差 SD | ||||
a00 | 1.275×10-2 | 2.274×10-3 | 8.600×10-2 | 2.360×10-2 | 2.033×10-1 | 4.223×10-2 | 2.973×10-1 | 1.072×10-1 | |||
a01 | 1.279×10-3 | 3.225×10-4 | 9.373×10-3 | 3.015×10-3 | 1.652×10-2 | 4.300×10-3 | 8.292×10-3 | 4.161×10-3 | |||
a02 | 4.942×10-6 | 1.329×10-6 | 2.598×10-5 | 9.505×10-6 | 4.171×10-5 | 1.638×10-5 | 5.020×10-5 | 1.596×10-5 | |||
a03 | -1.198×10-5 | 2.683×10-6 | -7.412×10-5 | 2.358×10-5 | -1.591×10-4 | 3.745×10-5 | -1.784×10-4 | 8.984×10-5 | |||
a1 | 2.013×101 | 1.101×10-1 | 1.433×101 | 1.543×10-1 | 1.104×101 | 1.448×10-1 | 8.949×10-1 | 2.160×10-1 | |||
a2 | 9.984×10-2 | 7.745×10-3 | 6.921×10-2 | 9.452×10-3 | 5.473×10-2 | 1.147×10-2 | 4.356×10-2 | 1.695×10-2 |
Table 3
Model evaluation with different competition indices"
CI | τ=0.90 | τ=0.95 | τ=0.99 | ||||||||
MAE/cm | RMAE(%) | MPE(%) | MAE/cm | RMAE(%) | MPE(%) | MAE/cm | RMAE(%) | MPE(%) | |||
N | 0.172 0 | 44.41 | 10.65 | 0.165 9 | 38.20 | 9.69 | 0.163 6 | 37.82 | 9.72 | ||
BA | 0.170 8 | 35.92 | 10.36 | 0.169 2 | 35.18 | 10.37 | 0.165 4 | 35.05 | 10.05 | ||
SDI | 0.169 4 | 37.50 | 10.50 | 0.168 4 | 36.34 | 10.21 | 0.168 0 | 35.75 | 9.90 | ||
Rd | 0.143 1 | 38.40 | 9.74 | 0.143 0 | 34.57 | 9.76 | 0.140 2 | 33.91 | 9.49 | ||
BAL | 0.142 1 | 29.48 | 9.07 | 0.136 6 | 28.58 | 8.95 | 0.134 3 | 27.28 | 8.64 | ||
Hegyi_n6 | 0.145 4 | 36.83 | 9.54 | 0.144 3 | 33.41 | 9.24 | 0.143 4 | 31.19 | 9.15 | ||
Hegyi_r5 | 0.145 4 | 36.81 | 9.54 | 0.145 4 | 33.40 | 9.25 | 0.144 3 | 31.49 | 9.15 | ||
Hegyi_von | 0.145 4 | 36.82 | 9.54 | 0.144 3 | 33.40 | 9.24 | 0.142 7 | 32.17 | 9.14 |
Table 4
Model evaluation with different interactions"
备选的交互作用项 Candidate interactions | MAE/ cm | RMAE (%) | MPE (%) | 备选的交互作用项 Candidate interactions | MAE/ cm | RMAE (%) | MPE (%) |
BAL∶Tmean | 0.129 2 | 27.01 | 8.43 | BAL∶ Tmean +BAL∶ Tmax +BAL∶PPT | 0.125 6 | 27.60 | 8.30 |
BAL∶Tmax | 0.132 0 | 26.50 | 8.58 | BAL∶ Tmean +BAL∶ Tmax +BAL∶AT5 | 0.126 1 | 27.39 | 8.29 |
BAL∶Tmin | 0.131 4 | 25.76 | 8.60 | BAL∶ Tmean +BAL∶ Tmin +BAL∶PPT | 0.122 0 | 25.68 | 8.19 |
BAL∶PPT | 0.133 5 | 26.19 | 8.63 | BAL∶ Tmean +BAL∶ Tmin +BAL∶AT5 | 0.129 0 | 27.36 | 8.40 |
BAL∶AT5 | 0.129 3 | 26.98 | 8.44 | BAL∶ Tmean +BAL∶PPT+BAL∶AT5 | 0.128 7 | 27.46 | 8.37 |
BAL∶Tmean+BAL∶Tmax | 0.125 5 | 26.95 | 8.29 | BAL∶ Tmax +BAL∶ Tmin +BAL∶PPT | 0.131 4 | 26.61 | 8.53 |
BAL∶Tmean+BAL∶Tmin | 0.129 2 | 26.93 | 8.44 | BAL∶ Tmax +BAL∶ Tmin +BAL∶AT5 | 0.111 0 | 25.24 | 7.85 |
BAL∶Tmean+BAL∶PPT | 0.128 2 | 26.92 | 8.39 | BAL∶ Tmax +BAL∶PPT+BAL∶AT5 | 0.125 6 | 27.44 | 8.31 |
BAL∶Tmean+BAL∶AT5 | 0.129 1 | 27.52 | 8.39 | BAL∶ Tmin +BAL∶PPT+BAL∶AT5 | 0.122 3 | 25.69 | 8.20 |
BAL∶Tmax+BAL∶Tmin | 0.131 7 | 26.68 | 8.54 | BAL∶ Tmean +BAL∶ Tmax +BAL∶ Tmin +BAL∶PPT | 0.109 3 | 21.39 | 7.87 |
BAL∶Tmax+BAL∶PPT | 0.130 9 | 26.42 | 8.52 | BAL∶ Tmean +BAL∶ Tmax +BAL∶ Tmin +BAL∶AT5 | 0.110 5 | 23.37 | 7.80 |
BAL∶Tmax+BAL∶AT5 | 0.125 6 | 26.88 | 8.30 | BAL∶ Tmean +BAL∶ Tmax +BAL∶PPT+BAL∶AT5 | 0.126 2 | 28.18 | 8.29 |
BAL∶Tmin+BAL∶PPT | 0.133 3 | 26.87 | 8.60 | BAL∶ Tmean +BAL∶ Tmin +BAL∶PPT+BAL∶AT5 | 0.121 9 | 25.93 | 8.16 |
BAL∶Tmin+BAL∶AT5 | 0.129 3 | 26.90 | 8.45 | BAL∶ Tmax +BAL∶ Tmin +BAL∶PPT+BAL∶AT5 | 0.109 8 | 21.46 | 7.80 |
BAL∶PPT+BAL∶AT5 | 0.128 3 | 26.88 | 8.39 | BAL∶ Tave +BAL∶ Tmax +BAL∶ Tmin + BAL∶PPT+BAL∶AT5 | 0.109 2 | 23.65 | 7.96 |
BAL∶Tmean+BAL∶Tmax+BAL∶Tmin | 0.110 6 | 21.30 | 7.81 | — | — | — | — |
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