嵌套式回归建立树木生物量模型

doi:10.3773/j.issn.1005-264x.2009.02.010

摘要/Abstract

摘要：

该文介绍了一种建立树木生物量模型的简单快速方法——嵌套式回归。基本原理是以枝轴为基本单位, 逐级拟合。过程是把枝条分解成枝轴, 从枝轴到枝条, 再到单株, 拟合不同层次或尺度的生物量模型。建立枝轴生物量方程, 估计各级枝轴生物量, 将枝轴生物量(实测值或模拟值)总和起来便得到枝条生物量。由于样本单元之间有包含关系, 实际测定的样本很小, 具有快速实用的特点。检验结果显示, 模型预测值和实测值具有较高的一致性。

关键词: 生物量, 枝条, 异速生长方程, 嵌套式回归

Abstract:

Aims The objective was to introduce a simplified method called nested regression for quick establishment of allometric models for tree biomass.

Methods Main branches at all orders were used as basic sample units. The biomass of a branch was obtained by summing that of its sub-branches or sub-main branches, either observed or estimated. Thus the span of branch diameter for the equation was extended. The branch was dissected into main braches, and a main branch is the axis of a branch at any order. Biomass equations were established for main branches, branches and individual trees, progressively. By summing the values of main braches, the biomass of a branch in a higher order was obtained.

Important findings Because of data nesting, i.e., small branches were encompassed in their upper-order branches, the measured sample was reduced to a minimum, making the method time- and cost-effective. Satisfactory accuracy of predicted values was shown by testing with observed data.

Key words: biomass, branch, allometric equation, nested sampling

刘琪璟. 嵌套式回归建立树木生物量模型. 植物生态学报, 2009, 33(2): 331-337. DOI: 10.3773/j.issn.1005-264x.2009.02.010

LIU Qi-Jing. NESTED REGRESSION FOR ESTABLISHING TREE BIOMASS EQUATIONS. Chinese Journal of Plant Ecology, 2009, 33(2): 331-337. DOI: 10.3773/j.issn.1005-264x.2009.02.010

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链接本文: https://www.plant-ecology.com/CN/10.3773/j.issn.1005-264x.2009.02.010

https://www.plant-ecology.com/CN/Y2009/V33/I2/331

图/表 5

图1 枝条分解成枝轴过程示意图一个具有4级分支的枝条,首先分解成1个一级枝轴和4个二级枝条,继续分解后共有27个大小不同的枝轴, 枝轴为任意一级枝条去掉次级分枝后的部分, 每个枝轴为一个圆锥体,和树干的形状相似,其重量可以直接测定,也可以通过密度-体积关系换算

Fig. 1 A diagram showing the dissection of a branch into main branches The three-order branch is separated to 27 main branches for all orders. Phrase main branch means a limb at any order from which subbranches are removed

图2 树冠生物量建立过程示意图

Fig. 2 Flow chart for building allometric models from main branches to the entire crown

表1 实测值法和估计值法建立的单株分器官生物量(kg)-胸径(cm)回归方程

Table 1 Allometric equations of different components

方法 Method	要素 Item	方程 Equation
实测值法	叶 Leaf	0.007 4D^{2.318 3}
By measuring	枝 Brach	0.013 7D^{2.368 3}
	干 Bole	0.042 0D^{2.345 5}
	总 Total	0.063 2D^{2.349 6}
估计值法	叶 Leaf	0.007 0D^{2.250 7}
By estimation	枝 Brach	0.016 3D^{2.250 8}
	干 Bole	0.022 6D^{2.595 3}
	总 Total	0.041 3D^{2.503 1}

表2 不同方法建立方程的估计值和实测值之间的相关性

Table 2 Regression between measured and estimated values of component-specific biomass

项目 Item	因变量 Dependent variable	a	b	R
叶片 Leaf	实测值法模拟值	2.768 8	0.637 5	0.76
枝条 Branch	Simulated with	5.704 7	0.623 5	0.79
全株 Total	measured value	8.637 9	0.820 9	0.98
叶片 Leaf	估计值法模拟值	2.225 2	0.479 3	0.77
枝条 Branch	Simulated with	5.136 9	0.798 3	0.79
全株 Total	estimated value	5.515 1	0.897 7	0.98

图3 不同方法建立模型估计的叶片及枝条生物量比较

Fig. 3 Comparison of component specific biomass estimated by different allometric equations

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