广西桉树地径与胸径多元混合效应模型研建  

Developing Multivariate Mixed Effect Model of Ground Diameter and DBH of Guangxi Eucalypt

作　　者：曾春阳 刘峰 徐庆玲 李恒 莫祝坤 黄正深 Zeng Chunyang;Liu Feng;Xu Qinging;Li Heng;Mo Zhukun;Huang Zhengshen(Guangxi Forest Inventory&Planning Institute,Nanning,Guangxi 530011,China;Lingyun Forestry Department,Lingyun,Guangxi 533199,China;Technology Innovation Center for Natural Resources Monitoring and Evaluation of Beibu Gulf Economic Zone,Ministry of Natural Resources,Nanning,Guangxi 530011,China)

机构地区：[1]广西壮族自治区林业勘测设计院,广西南宁530011 [2]凌云县林业局,广西凌云533199 [3]自然资源部北部湾经济区自然资源监测评价工程技术创新中心,广西南宁530011

出　　处：《广西林业科学》2023年第5期569-574,共6页Guangxi Forestry Science

基　　金：广西林业科研项目(桂林科研[2016]24号);广西林业科技推广示范项目(2023GXLK31,2023GXLK34)。

摘　　要：为解决森林资源管理工作中利用伐桩测算立木蓄积量的实际问题,以广西桉树(Eucalyptusspp.)人工林为研究对象,组织建模样本和验证样本;采用模型优选法比较11种常见一元地径-胸径模型的精度,选出最优模型;为进一步提高模型精度,以林龄、林分密度、海拔和坡位4个样地因子为随机因子,建立以胸径为因变量、地径和样地因子为自变量的多元混合效应模型;利用验证样本进行模型适用性检验。结果表明,多元混合效应模型精度最高,确定系数(R2)为0.966,赤池信息量准则(AIC)为434.7,估计值的标准差(SEE)为0.946,总相对误差(TRE)为0.004%,平均系统误差(MSE)为0.00005%,平均预估误差(MPE)为1.067%,平均百分标准误差(MPSE)为5.156%,适合作为拟合广西桉树胸径与地径相关关系的模型。In order to solve practical problems of calculating accumulations of standing woods by cutting piles in forest resource management,taking eucalypt plantations as objects,modeling and validation samples were con-structed.Accuracies of 11 common one-variable models of DBH and ground diameter were compared by model preference method,and optimal model was selected.In order to improve accuracy of model further,taking sam-ple site factors such as stand age,stand density,elevation and slope position as random factors,multivariate mixed effect model was established with DBH as dependent variable,and ground diameter and sample site fac-tors as independent variables.Model applicabilities were tested by validation samples.Results showed that mul-tivariate mixed effect model had the highest accuracy with R2=0.966,AIC=434.7,SEE=0.946,TRE=0.004%,MSE=0.00005%,MPE=1.067%and MPSE=5.156%,which was suitable as model for fitting corre-lations between DBHs and ground diameters of Guangxi eucalypt.

关 键 词：胸径 地径 一元线性模型 多元混合效应模型 桉树人工林 

分 类 号：S758[农业科学—森林经理学]