FOREST RESOURCES WANAGEMENT ›› 2020, Vol. 0 ›› Issue (2): 94-102.doi: 10.13466/j.cnki.lyzygl.2020.02.015
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ENG Qilong1(), CHEN Zhefu2, CHEN Duanlv2()
Received:
2020-01-02
Revised:
2020-04-19
Online:
2020-04-28
Published:
2020-06-15
Contact:
CHEN Duanlv
E-mail:214831481@qq.com;duanluchen@126.com
CLC Number:
ENG Qilong, CHEN Zhefu, CHEN Duanlv. A Study on the Growth Model of Individual Trees in Natural Mixed Forests of Oak and Pinus Massoniana in Hunan[J]. FOREST RESOURCES WANAGEMENT, 2020, 0(2): 94-102.
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URL: http://www.lyzygl.com.cn/EN/10.13466/j.cnki.lyzygl.2020.02.015
Tab.1
Characteristic statistics of sample plots facters
树种 | 株数/株 | 年龄(A)/a | 直径(D)/cm | 单株材积(V)/m3 | 单株断面积(G)/m2 | |||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
最大值 | 最小值 | 平均值 | 最大值 | 最小值 | 平均值 | 最大值 | 最小值 | 平均值 | 最大值 | 最小值 | 平均值 | |||||
柏木 | 6 | 20 | 36 | 31(±8.28) | 7.3 | 15.0 | 12.6(±3.16) | 0.011 | 0.074 | 0.051(±0.024) | 0.004 | 0.018 | 0.013(±0.005) | |||
枫香 | 15 | 15 | 57 | 29(±12.31) | 5.5 | 16.6 | 9.7(±5.15) | 0.008 | 0.108 | 0.037(±0.090) | 0.002 | 0.022 | 0.008(±0.013) | |||
栎类 | 1636 | 15 | 110 | 27(±12.04) | 5.0 | 44.9 | 9.3(±5.11) | 0.006 | 1.295 | 0.038(±0.085) | 0.002 | 0.158 | 0.008(±0.013) | |||
柳树 | 13 | 16 | 42 | 27(±11.69) | 5.2 | 13.4 | 8.6(±3.73) | 0.007 | 0.063 | 0.024(±0.039) | 0.002 | 0.014 | 0.006(±0.007) | |||
马尾松 | 796 | 10 | 95 | 25(±12.06) | 5.1 | 43.0 | 12.8(±5.11) | 0.005 | 1.146 | 0.072(±0.085) | 0.002 | 0.145 | 0.016(±0.013) | |||
杉木 | 104 | 5 | 67 | 21(±12.48) | 5.0 | 26.2 | 10.4(±5.23) | 0.005 | 0.396 | 0.048(±0.092) | 0.002 | 0.054 | 0.010(±0.013) | |||
油桐 | 10 | 24 | 43 | 32(±23.86) | 8.7 | 14.8 | 11.3(±5.99) | 0.022 | 0.081 | 0.045(±0.195) | 0.006 | 0.017 | 0.010(±0.024) | |||
樟树 | 43 | 14 | 50 | 25(±12.02) | 5.0 | 17.6 | 9.5(±5.14) | 0.006 | 0.125 | 0.035(±0.086) | 0.002 | 0.024 | 0.008(±0.013) |
Tab.2
Characteristic statistics of tree species
特征项 | 柏木 | 枫香 | 栎类 | 柳树 | 马尾松 | 杉木 | 油桐 | 樟树 | 合计 |
---|---|---|---|---|---|---|---|---|---|
株数/株 | 6(0.23) | 15(0.57) | 1636(62.35) | 13(0.50) | 796(30.34) | 104(3.96) | 10(0.38) | 43(1.64) | 2624(100) |
总材积/m3 | 0.303(0.27) | 0.554(0.43) | 62.837(48.89) | 0.318(0.25) | 57.601(44.82) | 4.959(3.86) | 0.447(0.35) | 1.511(1.18) | 128.53(100) |
总断面积/m2 | 0.078(0.28) | 0.127(0.46) | 13.57(48.99) | 0.081(0.29) | 12.35(44.59) | 1.037(3.74) | 0.104(0.38) | 0.35(1.26) | 27.698(100) |
Tab.4
Summary stastistics of modelling and validation
树种 | 林分变量 | 建模数据 | 检验数据 | ||||||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
样本量 | 最大值 | 最小值 | 平均值 | 标准差 | 样本量 | 最大值 | 最小值 | 平均值 | 标准差 | ||||||||||||
栎类 | 年龄(A)/a | 1088 | 135 | 15 | 26 | 10.896 | 548 | 91 | 16 | 27 | 10.692 | ||||||||||
直径(D)/cm | 1088 | 35.4 | 5.0 | 9.1 | 4.111 | 548 | 30.2 | 5.0 | 9.4 | 4.155 | |||||||||||
材积(V)/m3 | 1088 | 0.721 | 0.006 | 0.035 | 0.057 | 548 | 0.485 | 0.006 | 0.037 | 0.054 | |||||||||||
断面积(G)/m2 | 1088 | 0.098 | 0.002 | 0.008 | 0.009 | 548 | 0.072 | 0.002 | 0.008 | 0.009 | |||||||||||
马尾松 | 年龄(A)/a | 528 | 95 | 10 | 25 | 11.315 | 268 | 50 | 11 | 23 | 8.873 | ||||||||||
直径(D)/cm | 528 | 43.0 | 5.1 | 13.1 | 5.950 | 268 | 27.0 | 5.1 | 12.2 | 5.178 | |||||||||||
材积(V)/m3 | 528 | 1.146 | 0.005 | 0.078 | 0.116 | 268 | 0.347 | 0.005 | 0.061 | 0.068 | |||||||||||
断面积(G)/m2 | 528 | 0.145 | 0.002 | 0.016 | 0.017 | 268 | 0.057 | 0.002 | 0.014 | 0.012 |
Tab.5
Parameter estimation and evaluation index of individual volume
树种 | 方程序号 | 参数 | 指标 | |||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|
a | b | c | R2 | SSE | ||||||||
栎类 | 1 | 0.16866(±0.00372) | -0.50288(±0.01202) | 0.557 | 4.198 | |||||||
2 | 0.00007(±0.00000) | 1.90001(±0.01248) | 0.873 | 1.199 | ||||||||
3 | 0.00003(±0.00000) | 0.00194(±0.00012) | -0.03960(±0.00247) | 0.885 | 1.090 | |||||||
4 | 1.91577(±0.03867) | 126.10227(±1.34834) | 0.840 | 1.515 | ||||||||
5 | 1.20318(±0.10381) | 0.01369(±0.00111) | 3.09178(±0.12107) | 0.887 | 1.068 | |||||||
6 | 1.42190(±0.03881) | 6.21277(±0.06351) | 0.18458(±0.00396) | 0.873 | 1.205 | |||||||
7 | 1.67263(±0.10172) | 0.00232(±0.00010) | 2.18514(±0.02864) | 0.883 | 1.112 | |||||||
8 | 1.05344(±0.01917) | 104.31849(±3.69011) | 0.47873(±0.00722) | 0.836 | 1.554 | |||||||
马尾松 | 1 | 0.18573(±0.00630) | -0.50742(±0.01984) | 0.523 | 4.004 | |||||||
2 | 0.00005(±0.00001) | 2.20912(±0.03073) | 0.804 | 1.647 | ||||||||
3 | 0.00013(±0.00000) | -0.00072(±0.00046) | -0.00562(±0.00720) | 0.805 | 1.632 | |||||||
4 | 2.62627(±0.11859) | 103.20307(±2.00159) | 0.768 | 1.948 | ||||||||
5 | 7.28237(±3.99675) | 0.00715(±0.00252) | 2.66767(±0.18742) | 0.805 | 1.631 | |||||||
6 | 2.07629(±0.21976) | 6.55694(±0.12845) | 0.02431(±0.00146) | 0.799 | 1.683 | |||||||
7 | 2.12563(±0.36265) | 140.98612(±40.10094) | 1.11202(±0.09743) | 0.759 | 2.022 | |||||||
8 | 1.10377(±0.05014) | 107.47063(±7.02958) | 0.07316(±0.00230) | 0.784 | 1.814 |
Tab.6
Parameter estimation and evaluation index of individual basal area
树种 | 方程序号 | 参数 | 指标 | |||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|
a | b | c | R2 | SSE | ||||||||
栎类 | 1 | 0.02711(±0.00045) | -0.07872(±0.00147) | 0.685 | 0.063 | |||||||
2 | 0.00004(±0.00000) | 1.59895(±0.01066) | 0.860 | 0.028 | ||||||||
3 | 0.00002(±0.00000) | 0.00060(±0.00002) | -0.00917(±0.00036) | 0.879 | 0.024 | |||||||
4 | 1.75671(±0.00322) | 88.52108(±0.89458) | 0.839 | 0.032 | ||||||||
5 | 0.12090(±0.00710) | 0.17403(±0.01143) | 2.80860(±0.09905) | 0.884 | 0.023 | |||||||
6 | 0.14740(±0.00384) | 5.34338(±0.05482) | 2.17172(±0.04515) | 0.865 | 0.027 | |||||||
7 | 0.17380(±0.00076) | 0.57425(±0.03849) | 1.92531(±0.02449) | 0.876 | 0.025 | |||||||
8 | 0.11690(±0.00219) | 56.22297(±1.80148) | 51.00943(±0.83070) | 0.826 | 0.035 | |||||||
马尾松 | 1 | 0.03096(±0.00079) | -0.08112(±0.00250) | 0.657 | 0.064 | |||||||
2 | 0.00005(±0.00001) | 1.74066(±0.02481) | 0.815 | 0.034 | ||||||||
3 | 0.00001(±0.00000) | 0.00059(±0.00007) | -0.00650(±0.00103) | 0.816 | 0.034 | |||||||
4 | 0.20645(±0.00806) | 68.32779(±1.43521) | 0.779 | 0.041 | ||||||||
5 | 0.66325(±0.30482) | 0.65953(±0.23592) | 2.03500(±0.12000) | 0.819 | 0.034 | |||||||
6 | 0.19207(±0.01438) | 5.24315(±0.10016) | 0.07682(±0.00144) | 0.809 | 0.035 | |||||||
7 | 0.64705(±0.20216) | 26.59188(±3.52349) | 0.66159(±0.06525) | 0.805 | 0.036 | |||||||
8 | 0.12868(±0.00518) | 48.29720(±2.73098) | 0.07029(±0.00213) | 0.792 | 0.038 |
Tab.7
The fitting results of mixed effect model of individual volume
树种 | 模拟 | 随机参数 | 参数个数 | AIC | BIC | LL | LRT | ρ |
---|---|---|---|---|---|---|---|---|
栎类 | 1 | None | 3 | -2766.314 | -2741.354 | 1388.157 | ||
2 | a1 | 4 | -8105.116 | -8080.156 | 4057.558 | 5338.802 | <0.0001 | |
3 | b1 | 4 | -7733.520 | -7708.560 | 3871.760 | |||
4 | c1 | 4 | -6603.887 | -6578.926 | 3306.943 | |||
5 | a1,b1 | 5 | -7733.927 | -7708.966 | 3871.963 | -371.190 | <0.0001 | |
6 | b1,c1 | 5 | -2955.921 | -2934.576 | 1482.961 | |||
7 | a1,b1,c1 | 6 | -2955.987 | -2934.641 | 1482.993 | -4777.940 | <0.0001 | |
马尾松 | 1 | None | 3 | -2183.846 | -2162.501 | 1096.923 | ||
2 | a1 | 4 | -2907.258 | -2885.913 | 1458.629 | |||
3 | b1 | 4 | -2955.826 | -2934.480 | 1482.913 | 771.980 | <0.0001 | |
4 | c1 | 4 | -2785.940 | -2764.594 | 1397.970 | |||
5 | a1,b1 | 5 | -2569.552 | -2548.207 | 1289.776 | -386.274 | <0.0001 |
Tab.8
The fitting results of mixed effect model of individual basal area
树种 | 模拟 | 随机参数 | 参数个数 | AIC | BIC | LL | LRT | ρ |
---|---|---|---|---|---|---|---|---|
栎类 | 1 | None | 3 | -8465.704 | -8440.744 | 4237.852 | ||
2 | a1 | 4 | -12162.987 | -12138.026 | 6086.493 | 3697.283 | <0.0001 | |
3 | b1 | 4 | -11458.655 | -11433.694 | 5734.327 | |||
4 | c1 | 4 | -10529.350 | -10504.390 | 5269.675 | |||
5 | a1,b1 | 5 | -9968.254 | -9943.294 | 4989.127 | -2194.733 | <0.0001 | |
6 | a1,b1,c1 | 6 | -9142.682 | -9117.722 | 4576.341 | -825.572 | <0.0001 | |
马尾松 | 1 | None | 3 | -4200.914 | -4179.569 | 2105.457 | ||
2 | a1 | 4 | -4910.966 | -4889.621 | 2460.483 | -4231.716 | <0.0001 | |
3 | b1 | 4 | -4869.628 | -4848.283 | 2439.814 | |||
4 | c1 | 4 | -4735.445 | -4714.099 | 2372.722 | |||
5 | a1,b1 | 5 | -5757.888 | -5736.542 | 2883.944 | 846.921 | <0.0001 |
Tab.9
The comparison of basic model and mixed effect model of individual volume
检验指标 | ME | MAE | RME/% | RMAE/% | P/% | R2 | |
---|---|---|---|---|---|---|---|
栎类 | 基础模型 | 0.00174 | 0.01275 | 0.00032 | 0.00237 | 95.321 | 0.887 |
混合效应 | 0.00136 | 0.00330 | 0.00025 | 0.00061 | 96.352 | 0.995 | |
马尾松 | 基础模型 | -0.00121 | 0.02106 | -0.00046 | 0.00795 | 98.041 | 0.884 |
混合效应 | 0.00032 | 0.00698 | 0.00012 | 0.00263 | 99.480 | 0.991 |
Tab.10
The comparison of basic model and mixed effect model of individual basal area
检验指标 | ME | MAE | RME/% | RMAE /% | P/% | R2 | |
---|---|---|---|---|---|---|---|
栎类 | 基础模型 | 0.00021 | 0.00214 | 0.00004 | 0.00040 | 97.424 | 0.805 |
混合效应 | 0.00009 | 0.00062 | 0.00002 | 0.00011 | 98.865 | 0.973 | |
马尾松 | 基础模型 | -0.00006 | 0.00361 | -0.00002 | 0.00136 | 99.583 | 0.819 |
混合效应 | 0.00003 | 0.00044 | 0.00001 | 0.00017 | 99.751 | 0.982 |
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