李春明, 付卓. 基于非线性混合效应模型的3个针叶树种削度方程研究[J]. 西南林业大学学报(自然科学), 2021, 41(1): 118–124 . DOI: 10.11929/j.swfu.202004045
引用本文: 李春明, 付卓. 基于非线性混合效应模型的3个针叶树种削度方程研究[J]. 西南林业大学学报(自然科学), 2021, 41(1): 118–124 . DOI: 10.11929/j.swfu.202004045
Chunming Li, Zhuo Fu. The Taper Equation of 3 Coniferous Tree Species Based on Nonlinear Mixed Effects Models[J]. Journal of Southwest Forestry University, 2021, 41(1): 118-124. DOI: 10.11929/j.swfu.202004045
Citation: Chunming Li, Zhuo Fu. The Taper Equation of 3 Coniferous Tree Species Based on Nonlinear Mixed Effects Models[J]. Journal of Southwest Forestry University, 2021, 41(1): 118-124. DOI: 10.11929/j.swfu.202004045

基于非线性混合效应模型的3个针叶树种削度方程研究

The Taper Equation of 3 Coniferous Tree Species Based on Nonlinear Mixed Effects Models

  • 摘要: 以96块云冷杉林中的3个主要优势树种解析木数据为例,基于混合效应模型方法,选择2个常用的削度方程,构建红松、冷杉和云杉树木的削度方程,并与传统方法进行模拟效果比较,采用验证数据进行精度验证。结果表明:这3个树种削度方程在考虑混合效应模型方法后,AIC、BIC和−2logL指标值均明显下降,说明混合模型的模拟效果都比传统模型的模拟精度高。利用确定系数、均方根误差及绝对平均残差3个指标进行评价,模拟与验证数据均支持此结论。考虑3个树种2个拐点的Max等的分段削度方程,都高于Kozak等的简单削度方程的模拟和验证精度。

     

    Abstract: Taking the stem analysis data of 3 dominant species in 96 spruce-fir stands as an example, 2 commonly used taper equation are selected to construct taper equation of Pinus koraiensis, Abies fabri and Piceaasperata based on mixed effects models, the result will compare and verify the accuracy with that of the traditional method based on the verification data. The result shows the value of AIC, BIC, and −2logL are obviously decreased after considered the mixed effect model method, which indicates that the simulation effect of mixed model is higher than that of the traditional model. Three indexes of correlation coefficient, root mean square error, and determining average residual error, are used to compare the accuracy of taper equation, both the accuracy of simulation data and validation data all support above mentioned conclusion. The accuracy of the Max et al. segmented taper equation of 2 inflection points in simulation and verification is higher than that of Kozak et al. simple taper equation.

     

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