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黔中马尾松木荷混交林树高-胸径模型OA北大核心CSTPCD

Height-diameter model of Pinus massoniana and Schima superba mixed forest in central Guizhou Province

中文摘要英文摘要

[目的]建立马尾松Pinus massoniana-木荷Schima superba混交林树高-胸径模型,将树种作为哑变量引入模型,考虑模型残差空间自相关和异质性,为混交林树高-胸径模型构建和科学经营提供理论依据.[方法]基于贵州省开阳县马尾松-木荷混交林 727组树高-胸径调查数据,构建普通最小二乘法模型(OLS)、广义可加模型(GAM)、线性混合模型(LMM)、地理加权回归模型(GWR)和地理加权回归克里格模型(GWRK)的树高-胸径全林木模型,在此基础上,将树种作为哑变量引入,选择全局莫兰指数(Moran'I)、局域Moran'I和组内方差分析 5 种模型残差空间自相关与空间异质性,并采用决定系数(R2)、均方误差(MSE)和赤池信息准则(AIC)对模型进行评价.[结果]①马尾松-木荷混交林全林木基础模型的拟合精度从低到高依次为OLS、GAM、LMM、GWR、GWRK.②将树种作为哑变量引入模型后,各模型拟合精度均高于全林木基础模型.③OLS和GAM模型残差的全局Moran'I在α=0.05水平下显著(Z>1.96),局域Moran'I分布图中存在较多热点,表现出强烈的空间自相关.而LMM、GWR和GWRK模型残差全局Moran'I在α=0.05水平下不显著(-1.96≤Z≤1.96),且在局域Moran'I分布图中存在较多冷点,说明模型残差空间自相关已被消除.④5 种模型残差的组内方差均表现随着滞后距离增大而增大的趋势,但GWR和GWRK模型具有更小的组内方差,能较好地降低模型残差空间的异质性.[结论]OLS和GAM模型拟合精度不高,并且不能消除模型残差空间自相关和异质性,因此不是用来建立树高-胸径模型的最佳选择.LMM、GWR和GWRK模型在提高模型拟合精度和降低空间自相关性方面表现良好,但GWR和GWRK模型在降低空间异质性方面显著,是最适合的树高-胸径模型.图2表3参38

[Objective]To establish a tree height-diameter model for mixed forests of Pinus massoniana and Schima superba,introduce tree species as dummy variables into the model,and consider the spatial autocorrelation and heterogeneity of residuals of the model,in order to provide theoretical basis for the construction of the tree height-diameter model of mixed forests and the scientific management of mixed forests.[Method]Based on the survey data of 727 groups of tree height-diameter in mixed forests of P.massoniana and S.superba in Kaiyang County,Guizhou Province,we constructed ordinary least squares(OLS),generalized additive model(GAM),linear mixed model(LMM),geographically weighted regression model(GWR),and geographically weighted regression kriging(GWRK)models for tree height-diameter-whole-forest model,on the basis of which tree species was introduced as a dummy variable,and five model residuals spatial autocorrelation and spatial heterogeneity were selected for global Moran'I,local Moran'I,and intra-block variance analyses with the coefficients of determination(R2),mean squared error(MSE),and the Akaike information criterion(AIC)to evaluate the models.[Result](1)The fitting accuracies of the whole-forest base models of P.massoniana-S.superba mixed forest were OLS<GAM<LMM<GWR<GWRK in descending order.(2)The fitting accuracies of the models were higher than those of the whole-forest base models after introducing tree species as a dummy variable into the models.(3)The global Moran'I of the residuals of the OLS and GAM models was significant at the α=0.05 level(Z>1.96),and there were more hot spots in the local Moran'I distribution maps,which showed strong spatial autocorrelation.In contrast,the global Moran'I of the residuals of the LMM,GWR and GWRK models is insignificant at the α=0.05 level(-1.96≤Z≤1.96)and there are more cold spots in the local Moran'I distribution plot,indicating that spatial autocorrelation of the model residuals has been eliminated.(4)The intra-block variance of the residuals of the five models show a tendency to increase with the lag distance,but the GWR and GWRK models have smaller intra-block variance,which can better reduce the heterogeneity of the model residual space.[Conclusion]The OLS and GAM models do not have high fitting accuracy and cannot eliminate spatial autocorrelation and heterogeneity of model residuals,so they are not the best choices for modeling tree height-diameter.The LMM,GWR,and GWRK models perform well in improving the model fitting accuracy and decreasing the spatial autocorrelation,but the GWR and GWRK models are more significant in decreasing the spatial heterogeneity,and they are the most appropriate of the tree height-breast diameter models.[Ch,2 fig.3 tab.38 ref.]

冉佳璇;戚玉娇

贵州大学 林学院,贵州 贵阳 550025

林学

马尾松木荷混交林树高-胸径模型模型残差空间自相关空间异质性

Pinus massonianaSchima superbamixed foresttree height-diameter modelmodel residualsspatial autocorrelationspatial heterogeneity

《浙江农林大学学报》 2024 (002)

343-352 / 10

贵州省科技计划项目后补助计划项目(黔科合平台人才[2018]5261);国家重点研发计划项目(2017YFD0600302)

10.11833/j.issn.2095-0756.20230363

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