Forest and Grassland Resources Research ›› 2024›› Issue (1): 134-142.doi: 10.13466/j.cnki.lczyyj.2024.01.017
• Technical Application • Previous Articles Next Articles
WU Sha1(), BIAN Gengzhan2, YI Xuan3, LYU Yong1()
Received:
2024-01-05
Revised:
2024-02-02
Online:
2024-02-28
Published:
2024-03-22
CLC Number:
WU Sha, BIAN Gengzhan, YI Xuan, LYU Yong. Research and Construction of Stand Form Height Model of Quercus glauca Secondary Forest[J]. Forest and Grassland Resources Research, 2024, (1): 134-142.
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URL: https://www.lyzygl.com.cn/EN/10.13466/j.cnki.lczyyj.2024.01.017
Tab.1
Statistics of diameter at breast height(DBH)and tree height factors for forest stand
样地 编号 | 株数/ 株 | 平均胸径/ cm | 平均树高/ m | 样地 编号 | 株数/ 株 | 平均胸径/ cm | 平均树高/ m | 样地 编号 | 株数/ 株 | 平均胸径/ cm | 平均树高/ m |
---|---|---|---|---|---|---|---|---|---|---|---|
1 | 25 | 15.2 | 10.8 | 13 | 36 | 12.3 | 10.3 | 25 | 40 | 12.2 | 9.7 |
2 | 29 | 12.4 | 10.3 | 14 | 17 | 11.3 | 9.9 | 26 | 31 | 13.2 | 10.3 |
3 | 24 | 15.7 | 10.4 | 15 | 17 | 14.5 | 10.9 | 27 | 21 | 13.9 | 10.5 |
4 | 27 | 12.0 | 10.1 | 16 | 23 | 11.3 | 10.0 | 28 | 29 | 11.1 | 9.8 |
5 | 18 | 14.5 | 10.8 | 17 | 40 | 14.2 | 10.4 | 29 | 41 | 13.6 | 10.5 |
6 | 28 | 15.2 | 11.4 | 18 | 20 | 15.2 | 10.7 | 30 | 47 | 21.2 | 12.8 |
7 | 32 | 10.7 | 9.7 | 19 | 57 | 9.8 | 9.7 | 31 | 34 | 21.8 | 13.1 |
8 | 20 | 14.0 | 9.6 | 20 | 28 | 12.1 | 9.7 | 32 | 25 | 14.8 | 11.2 |
9 | 21 | 19.2 | 11.8 | 21 | 37 | 18.3 | 11.7 | 33 | 9 | 12.1 | 10.0 |
10 | 30 | 14.8 | 11.3 | 22 | 23 | 13.1 | 9.9 | 34 | 37 | 12.4 | 10.1 |
11 | 39 | 12.1 | 10.2 | 23 | 32 | 13.5 | 10.5 | 35 | 36 | 11.5 | 10.2 |
12 | 42 | 13.6 | 10.7 | 24 | 41 | 10.4 | 9.4 |
Tab.2
Statistics of diameter at breast height(DBH) and tree height factors for individual tree
序号 | 径阶 | 平均胸径/cm | 平均树高/m | 株数/株 |
---|---|---|---|---|
1 | 4 | 5.4 | 7.3 | 76 |
2 | 8 | 7.9 | 8.5 | 316 |
3 | 12 | 11.9 | 10.4 | 237 |
4 | 16 | 15.8 | 11.6 | 162 |
5 | 20 | 19.7 | 12.7 | 113 |
6 | 24 | 23.8 | 13.4 | 85 |
7 | 28 | 27.6 | 13.9 | 42 |
8 | 32 | 31.4 | 14.9 | 12 |
9 | 36 | 35.9 | 15.4 | 7 |
10 | 40 | 40.5 | 16.9 | 4 |
11 | 44 | 45.0 | 17.8 | 1 |
合计 | 13.8 | 10.5 | 1 055 |
Tab.7
Statistical of stand mean diameter at breast height (DBH) and stand condition mean height
样地编号 | 林分平均胸径/cm | 林分条件平均高/m | 样地编号 | 林分平均胸径/cm | 林分条件平均高/m |
---|---|---|---|---|---|
1 | 16.701 9 | 11.699 9 | 19 | 10.844 2 | 9.867 6 |
2 | 13.484 0 | 10.747 6 | 20 | 13.911 7 | 10.880 9 |
3 | 17.854 6 | 12.016 1 | 21 | 20.253 4 | 12.639 8 |
4 | 12.905 5 | 10.563 5 | 22 | 14.700 4 | 11.120 9 |
5 | 15.520 4 | 11.363 1 | 23 | 15.397 3 | 11.327 2 |
6 | 15.933 5 | 11.482 4 | 24 | 11.755 6 | 10.183 6 |
7 | 11.389 5 | 10.058 3 | 25 | 14.075 2 | 10.931 3 |
8 | 16.592 9 | 11.669 4 | 26 | 14.387 9 | 11.026 7 |
9 | 21.057 4 | 12.839 6 | 27 | 15.342 2 | 11.311 1 |
10 | 15.633 2 | 11.395 9 | 28 | 11.773 3 | 10.189 6 |
11 | 12.937 5 | 10.573 8 | 29 | 15.029 0 | 11.218 9 |
12 | 14.765 0 | 11.140 3 | 30 | 22.599 0 | 13.211 3 |
13 | 12.875 7 | 10.553 9 | 31 | 22.910 3 | 13.284 7 |
14 | 12.012 4 | 10.270 1 | 32 | 15.448 7 | 11.342 2 |
15 | 15.604 0 | 11.387 4 | 33 | 12.825 2 | 10.537 6 |
16 | 11.883 0 | 10.226 6 | 34 | 14.011 7 | 10.911 8 |
17 | 16.107 7 | 11.532 2 | 35 | 12.281 5 | 10.359 8 |
18 | 17.891 0 | 12.025 9 |
Tab.8
Stand form height statistics
样地 编号 | 林分形高 | 样地 编号 | 林分形高 | 样地 编号 | 林分形高 |
---|---|---|---|---|---|
1 | 6.018 0 | 13 | 5.595 9 | 25 | 5.725 9 |
2 | 5.782 5 | 14 | 5.419 5 | 26 | 5.667 3 |
3 | 6.120 7 | 15 | 5.869 0 | 27 | 5.861 5 |
4 | 5.541 1 | 16 | 5.416 0 | 28 | 5.341 7 |
5 | 5.795 8 | 17 | 5.937 8 | 29 | 5.907 5 |
6 | 5.911 6 | 18 | 6.146 5 | 30 | 6.452 2 |
7 | 5.373 3 | 19 | 5.625 8 | 31 | 6.486 9 |
8 | 6.100 5 | 20 | 5.743 3 | 32 | 5.865 1 |
9 | 6.394 2 | 21 | 6.385 8 | 33 | 5.517 2 |
10 | 5.781 9 | 22 | 5.903 1 | 34 | 5.801 1 |
11 | 5.602 0 | 23 | 5.857 2 | 35 | 5.587 7 |
12 | 5.789 8 | 24 | 5.508 4 |
Tab.11
Parameters and evaluation indicators of the univariate form height model
模型类型 | 模型编号 | a | b | R2 | RMSE | EA/% | MAE | P1/% | |||
---|---|---|---|---|---|---|---|---|---|---|---|
估计值 | 标准误差 | 估计值 | 标准误差 | ||||||||
f(D) | 1 | 4.369 8 | 0.072 0 | 0.096 3 | 0.080 0 | 0.927 8 | 0.082 4 | 98.625 8 | 0.021 6 | 99.595 2 | |
2 | 2.870 7 | 0.094 4 | 0.261 8 | 0.077 3 | 0.932 5 | 0.077 3 | 98.672 0 | 0.020 1 | 99.608 8 | ||
3 | 1.656 7 | 0.198 6 | 1.545 0 | 0.078 4 | 0.930 6 | 0.078 4 | 98.653 0 | 0.020 1 | 99.603 2 | ||
f(H) | 1 | 2.022 4 | 0.178 2 | 0.339 5 | 0.077 2 | 0.932 8 | 0.077 2 | 98.674 2 | 0.020 2 | 99.609 4 | |
2 | 1.188 2 | 0.087 2 | 0.658 3 | 0.077 2 | 0.932 7 | 0.077 2 | 98.673 6 | 0.020 1 | 99.609 3 | ||
3 | -3.557 3 | 0.444 2 | 3.888 0 | 0.078 1 | 0.931 2 | 0.078 1 | 98.658 4 | 0.020 1 | 99.604 8 |
Tab.12
Parameters and evaluation indicators of the binary form height model
模型 | 参数 | 估计值 | 标准误差 | P2 | R2 | RMSE | EA/% | MAE | P1/% |
---|---|---|---|---|---|---|---|---|---|
1 | a | 0.619 4 | 0.030 1 | <0.001 | 0.931 43 | 0.077 98 | 98.660 94 | 0.020 31 | 99.599 03 |
b | -0.008 4 | 0.003 6 | <0.05 | ||||||
c | 0.000 1 | 0.000 1 | <1 | ||||||
2 | a | 0.590 6 | 0.007 1 | <0.001 | 0.929 46 | 0.079 17 | 98.640 64 | 0.019 82 | 99.599 52 |
b | -0.008 3 | 0.000 8 | <0.001 | ||||||
3 | a | 0.710 2 | 0.016 9 | <0.001 | 0.932 63 | 0.077 29 | 98.672 82 | 0.020 10 | 99.609 01 |
b | -0.070 1 | 0.006 2 | <0.001 | ||||||
4 | a | 0.068 1 | 0.000 8 | <0.001 | 0.855 14 | 0.124 15 | 97.868 17 | 0.031 70 | 99.371 65 |
b | -0.001 4 | 0.000 1 | <0.001 | ||||||
5 | a | 0.202 4 | 1.422 3 | <1 | 0.932 85 | 0.077 17 | 98.674 95 | 0.020 14 | 99.603 23 |
b | 1.979 3 | 5.244 4 | <1 | ||||||
c | -0.525 5 | 2.086 2 | <1 | ||||||
6 | a | 5.285 0 | 0.038 8 | <0.001 | 0.881 46 | 0.102 53 | 98.239 53 | 0.030 23 | 99.481 36 |
b | 0.000 2 | 0.000 0 | <0.001 | ||||||
7 | a | 1.757 5 | 0.844 8 | <0.05 | 0.932 98 | 0.077 09 | 98.676 28 | 0.020 07 | 99.603 62 |
b | -0.000 2 | -0.000 2 | <1 | ||||||
c | 0.368 4 | 0.091 6 | <0.001 | ||||||
8 | a | 2.479 9 | 0.098 2 | <0.001 | 0.932 58 | 0.077 32 | 98.672 33 | 0.020 11 | 99.608 86 |
b | 0.109 2 | 0.005 0 | <0.001 |
Tab.13
Leave-One-Out cross-validation results
模型类型 | R2 | RMSE | EA/% | MAE | P1/% |
---|---|---|---|---|---|
f(D)=aDb | 0.922 52 | 0.082 94 | 98.575 90 | 0.021 43 | 99.887 27 |
f(H)=a+b×H | 0.922 54 | 0.082 93 | 98.575 94 | 0.021 53 | 99.820 34 |
f(D,H)=a×exp(bD)H | 0.920 72 | 0.084 00 | 98.557 59 | 0.020 90 | 99.546 39 |
f(D,H)=(a+b×logD)H | 0.923 01 | 0.082 68 | 98.580 37 | 0.021 39 | 99.549 95 |
f(D,H)=a×(D2×H)b | 0.922 57 | 0.082 91 | 98.576 33 | 0.021 43 | 99.548 01 |
Tab.14
Paired sample test
配对样本 | 配对差值 | T | 自由度 | Sig.(双尾) | ||||
---|---|---|---|---|---|---|---|---|
平均值 | 标准偏差 | 标准误差 平均值 | 差值95%置信区间 | |||||
下限 | 上限 | |||||||
M-M1 | 0.051 05 | 0.975 80 | 0.164 94 | -0.284 15 | 0.386 25 | 0.310 | 34 | 0.759 |
M-M2 | 0.041 29 | 0.999 41 | 0.168 93 | -0.302 02 | 0.384 60 | 0.244 | 34 | 0.808 |
M-M3 | -7.560 62 | 45.069 25 | 7.618 09 | -23.042 45 | 7.921 21 | -0.992 | 34 | 0.328 |
M-M4 | 0.051 36 | 0.976 70 | 0.165 09 | -0.284 14 | 0.386 87 | 0.311 | 34 | 0.758 |
M-M5 | -7.598 09 | 45.179 29 | 7.636 69 | -23.117 71 | 7.921 54 | -0.995 | 34 | 0.327 |
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