林业科学 ›› 2020, Vol. 56 ›› Issue (9): 164-173.doi: 10.11707/j.1001-7488.20200918
刘秀红1,姜春前1,*,徐睿1,何潇2,齐梦娟1
收稿日期:
2019-04-01
出版日期:
2020-09-25
发布日期:
2020-10-15
通讯作者:
姜春前
基金资助:
Xiuhong Liu1,Chunqian Jiang1,*,Rui Xu1,Xiao He2,Mengjuan Qi1
Received:
2019-04-01
Online:
2020-09-25
Published:
2020-10-15
Contact:
Chunqian Jiang
摘要:
目的: 生物量模型是估算森林生物量的有效手段,非线性联立方程组是构建相容性生物量模型的常见方法。本研究以青冈栎为例,比较常用的2种生物量模型构建方法和3种参数估计算法,以期选出最好的生物量模型构建方法和算法,为生物量的模型计算和研究提供技术支撑。方法: 以南方25株青冈栎地上生物量实测数据为例,选择比例总量直接控制和代数和控制2种结构形式的相容性生物量模型,分别使用普通最小二乘法、二阶最小二乘法和三阶最小二乘法作为模型参数估计算法,建立地上总生物量与各组分生物量的相容性模型,比较不同相容性生物量模型的拟合效果。结果: 在3种参数估计算法下,2种结构的生物量模型均能解决地上生物量与干、枝、叶各组分生物量之间的相容性问题,各组分生物量模型的确定系数都在0.8以上,地上生物量模型的确定系数最高,树叶生物量模型的确定系数最低;使用相同的参数估计算法,2种结构的相容性生物量拟合效果差异不大;对比3种参数估计算法,采用二阶最小二乘法和三阶最小二乘法拟合的相容性生物量模型的参数估计值和评价指标是一致的,而与普通最小二乘法差别较大,但使用普通最小二乘法的拟合精度更高,且计算过程更简单。结论: 鉴于林业实践中通常以计算地上生物量为主要目的,利用基于普通最小二乘法得到的比例总量直接控制模型,可以以较高的预估精度直接计算出地上生物量,具有良好应用前景。
中图分类号:
刘秀红,姜春前,徐睿,何潇,齐梦娟. 相容性单木生物量模型估计方法的比较——以青冈栎为例[J]. 林业科学, 2020, 56(9): 164-173.
Xiuhong Liu,Chunqian Jiang,Rui Xu,Xiao He,Mengjuan Qi. Comparison of Methods to Construct Compatible Individual Tree Biomass Models — A Case Study of Cyclobalanopsis glauca[J]. Scientia Silvae Sinicae, 2020, 56(9): 164-173.
表2
建模样本统计信息"
项目 Item | DBH/ cm | 树高 Tree height/ m | 树龄 Tree age/a | 冠长 Crown length/m | 地上生物量 Above ground biomass/kg | 树干生物量 Stem biomass/kg | 树枝生物量 Branch biomass/kg | 树叶生物量 Leaf biomass/kg |
最小值Min. | 5.5 | 6.6 | 14 | 1.7 | 7.4 | 5.9 | 0.6 | 0.1 |
最大值Max. | 19.0 | 16.6 | 31 | 11.0 | 292.4 | 224.0 | 57.5 | 10.9 |
平均Mean | 9.9 | 12.5 | 22 | 6.2 | 62.8 | 50.0 | 10.4 | 2.4 |
SD | 3.7 | 2.4 | 5 | 2.8 | 66.2 | 50.5 | 13.9 | 2.7 |
CV(%) | 37.37 | 19.20 | 22.73 | 45.16 | 105.33 | 101.04 | 133.85 | 112.50 |
表2
独立模型拟合结果以及评价指标"
组分 Component | a | b | R2 | SEE | TRE | ASE | MPE | MPSE |
树干Stem | 1.190 4×10-1 | 2.530 9 | 0.956 3 | 10.79 | 0.07 | 8.58 | 7.39 | 16.09 |
树枝Branch | 3.563 0×10-3 | 3.284 4 | 0.925 7 | 3.88 | 0.44 | 5.32 | 12.70 | 32.35 |
树叶Leaf | 3.961 0×10-3 | 2.672 2 | 0.842 4 | 1.10 | 0.09 | 1.86 | 15.75 | 34.37 |
地上Aboveground | 1.085 0×10-1 | 2.656 9 | 0.971 7 | 11.37 | 0.15 | 7.59 | 6.19 | 15.73 |
表3
比例总量直接控制模型拟合结果"
参数估计算法 Parameter estimation algorithm | a0 | a1 | b0 | b1 | c0 | c1 |
OLS | 1.131 5×10-1 | 2.641 0 | 3.547 2×10-2 | 6.898 7×10-1 | 3.456 4×10-2 | 1.264 8×10-1 |
2SLS | 8.996 3×10-2 | 2.732 2 | 2.806 6×10-2 | 7.836 0×10-1 | 3.873 5×10-2 | 8.487 7×10-2 |
3SLS | 8.996 3×10-2 | 2.732 2 | 3.718 4×10-2 | 6.728 2×10-1 | 3.872 7×10-2 | 8.492 7×10-2 |
表4
OLS估计算法下的评价指标"
组分 Component | 模型构建方法 Model building method | R2 | SEE | TRE | ASE | MPE | MPSE |
树干 Stem | 比例总量直接控制 Controlling directly by proportion functions | 0.955 6 | 11.96 | 0.00 | 8.71 | 8.19 | 16.02 |
代数和控制 Controlling by the sum of equations | 0.956 3 | 10.79 | -0.02 | 8.58 | 7.39 | 16.11 | |
树枝 Branch | 比例总量直接控制 Controlling directly by proportion functions | 0.924 3 | 4.30 | -0.01 | 5.39 | 14.10 | 31.02 |
代数和控制 Controlling by the sum of equations | 0.924 0 | 3.92 | 0.10 | 5.42 | 12.84 | 30.40 | |
树叶 Leaf | 比例总量直接控制 Controlling directly by proportion functions | 0.842 2 | 1.21 | 0.00 | 1.86 | 17.34 | 34.23 |
代数和控制 Controlling by the sum of equations | 0.842 4 | 1.10 | 0.03 | 1.86 | 15.75 | 34.29 | |
地上 Aboveground | 比例总量直接控制 Controlling directly by proportion functions | 0.971 4 | 11.42 | 0.00 | 7.64 | 6.22 | 15.63 |
代数和控制 Controlling by the sum of equations | 0.971 9 | 12.46 | 0.01 | 7.51 | 6.79 | 15.68 |
表5
2SLS估计算法下的评价指标"
组分 Component | 模型构建方法 Model building method | R2 | SEE | TRE | ASE | MPE | MPSE |
树干 Stem | 比例总量直接控制 Controlling directly by proportion functions | 0.955 7 | 11.95 | -0.05 | 8.68 | 8.18 | 15.87 |
代数和控制 Controlling by the sum of equations | 0.954 9 | 10.96 | -0.04 | 8.85 | 7.51 | 16.68 | |
树枝 Branch | 比例总量直接控制 Controlling directly by proportion functions | 0.923 8 | 4.32 | -1.66 | 5.33 | 14.14 | 34.10 |
代数和控制 Controlling by the sum of equations | 0.922 1 | 3.97 | 0.45 | 5.58 | 13.01 | 29.61 | |
树叶 Leaf | 比例总量直接控制 Controlling directly by proportion functions | 0.842 0 | 1.21 | -0.91 | 1.84 | 17.35 | 34.46 |
代数和控制 Controlling by the sum of equations | 0.841 5 | 1.10 | -0.40 | 1.86 | 15.79 | 35.30 | |
地上 Aboveground | 比例总量直接控制 Controlling directly by proportion functions | 0.971 7 | 11.37 | -0.35 | 7.55 | 6.20 | 16.07 |
代数和控制 Controlling by the sum of equations | 0.970 5 | 12.76 | 0.03 | 7.88 | 6.95 | 15.78 |
表6
3SLS估计算法下的评价指标"
组分 Component | 模型构建方法 Model building method | R2 | SEE | TRE | ASE | MPE | MPSE |
树干 Stem | 比例总量直接控制 Controlling directly by proportion functions | 0.955 6 | 11.97 | -0.17 | 8.70 | 8.19 | 15.95 |
代数和控制 Controlling by the sum of equations | 0.954 8 | 10.97 | -0.04 | 8.85 | 7.51 | 16.69 | |
树枝 Branch | 比例总量直接控制 Controlling directly by proportion functions | 0.925 3 | 4.28 | -1.07 | 5.27 | 14.01 | 32.08 |
代数和控制 Controlling by the sum of equations | 0.922 0 | 3.97 | 0.45 | 5.58 | 13.01 | 29.60 | |
树叶 Leaf | 比例总量直接控制 Controlling directly by proportion functions | 0.841 8 | 1.21 | -1.03 | 1.84 | 17.36 | 34.61 |
代数和控制 Controlling by the sum of equations | 0.841 5 | 1.10 | -0.40 | 1.86 | 15.79 | 35.29 | |
地上 Aboveground | 比例总量直接控制 Controlling directly by proportion functions | 0.971 7 | 11.37 | -0.35 | 7.55 | 6.20 | 16.07 |
代数和控制 Controlling by the sum of equations | 0.970 5 | 12.77 | 0.03 | 7.89 | 6.96 | 15.78 |
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