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基于混合效应模型的兴安落叶松人工林单木冠幅模型构建OA

Crown Width Model for Individual Trees in Larix gmelinii Plantations Based on Mixed-effects Models

中文摘要英文摘要

根据黑龙江省鹤岗市双丰林场12块兴安落叶松人工林固定样地每木检尺数据,构建兴安落叶松人工林单木冠幅模型.通过分析兴安落叶松冠幅与胸径、高径比、冠长率等因子之间的相关性,从6种常见的线性和非线性备选冠幅-胸径模型中选取最优模型,在最优基础模型基础上引入显著单木影响因子,并加入样地水平随机效应,构建兴安落叶松人工林单木冠幅混合效应模型,对构建的冠幅模型进行评价和预测.结果表明,兴安落叶松冠幅与胸径、冠长率呈正相关关系,与高径比呈负相关关系.选出最优的基础模型为线性模型,其调整后的决定系数(adjusted coefficient of determination,R2a)为0.515 6,引入高径比、冠长率2个关键单木因子构建的广义线性多元模型R2a 为0.597 8;在此模型基础上,引入样地随机效应后构建的混合效应模型的R2a 为0.629 7,模型的拟合效果得以显著提升,通过模型的检验和评价表明,混合效应模型具有更好的预测效果.本研究构建的包含胸径、高径比、冠长率以及样地水平随机效应的兴安落叶松人工林冠幅混合效应模型具有很好的拟合效果和较精准的预测效果,且该模型的适用性较为广泛,具有较高的生物学意义,可以为东北地区兴安落叶松人工林的冠幅准确预估提供理论基础.

Based on dendrometric measurements from 12 permanent sample plots in Shuangfeng Forest Farm,Hegang City,Heilongjiang Province,a crown projection area model for individual trees in Larix gmelinii plantations was devel-oped.The relationships between crown projection area and factors including DBH,height-to-diameter ratio,and crown length ratio were analyzed through correlation analysis.The optimal model was selected from six common linear and non-linear candidate crown-DBH models.Single-tree variables were incorporated into this base model,and plot-level random effects were added to construct a mixed-effects model for individual-tree crown projection area in Larix gmelinii planta-tions.The developed crown models were evaluated and validated.The results indicated that crown projection area showed positive correlations with DBH and crown length ratio but a negative correlation with height-to-diameter ratio.The optimal base model was a linear function with R2a of 0.515 6.After incorporating height-to-diameter ratio and crown length ratio,the generalized linear model achieved R2a of 0.597 8.Based on this model,the mixed-effects model includ-ing plot-level random effects further improved the fit,yielding R2a of 0.629 7.Model validation and evaluation confirmed that the mixed-effects model demonstrated superior predictive performance.The developed Larix gmelinii plantations mixed-effects crown projection area model-incorporating DBH,height-to-diameter ratio,crown length ratio,and plot-level random effects exhibits excellent goodness-of-fit and precise predictive capability.With broad applicability and sig-nificant biological interpretation,this model provides a theoretical foundation for accurately predicting crown dimensions in Larix gmelinii plantations across Northeast China.

孙宇;邰立彬;李洋;王亮;朱万才

黑龙江省林业科学研究所,哈尔滨 150081鹤北林业局有限公司林业工作总站,黑龙江 鹤岗 154211鹤北林业局有限公司林业工作总站,黑龙江 鹤岗 154211萝北县林木种苗和森林病防站,黑龙江 鹤岗 154200黑龙江省林业科学研究所,哈尔滨 150081

农业科技

兴安落叶松人工林冠幅模型线性混合效应模型

Larix gmeliniiplantationcrown width modellinear mixed model

《森林工程》 2026 (4)

728-737,10

龙江森工科技项目(KJXMSQ2023-00015).

10.7525/j.issn.1006-8023.2026.04.007

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