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    周泽宇, 周超凡, 胡兴国, 陈科屹, 杜满义, 张会儒, 符利勇. 基于距离相关Hegyi指数的云冷杉天然林单木胸径生长模型[J]. 北京林业大学学报, 2023, 45(10): 59-69. DOI: 10.12171/j.1000-1522.20210510
    引用本文: 周泽宇, 周超凡, 胡兴国, 陈科屹, 杜满义, 张会儒, 符利勇. 基于距离相关Hegyi指数的云冷杉天然林单木胸径生长模型[J]. 北京林业大学学报, 2023, 45(10): 59-69. DOI: 10.12171/j.1000-1522.20210510
    Zhou Zeyu, Zhou Chaofan, Hu Xingguo, Chen Keyi, Du Manyi, Zhang Huiru, Fu Liyong. Single tree DBH growth model of spruce-fir natural forest based on distance related Hegyi index[J]. Journal of Beijing Forestry University, 2023, 45(10): 59-69. DOI: 10.12171/j.1000-1522.20210510
    Citation: Zhou Zeyu, Zhou Chaofan, Hu Xingguo, Chen Keyi, Du Manyi, Zhang Huiru, Fu Liyong. Single tree DBH growth model of spruce-fir natural forest based on distance related Hegyi index[J]. Journal of Beijing Forestry University, 2023, 45(10): 59-69. DOI: 10.12171/j.1000-1522.20210510

    基于距离相关Hegyi指数的云冷杉天然林单木胸径生长模型

    Single tree DBH growth model of spruce-fir natural forest based on distance related Hegyi index

    • 摘要:
      目的 基于与距离有关的Hegyi种内和种间竞争指数,构建以期初胸径及Hegyi竞争指数为预测变量的云冷杉天然林单木胸径生长预测模型。
      方法 使用2013年金沟岭云冷杉林3块1 hm2固定样地内实测数据,以非线性Logistic模型为基础模型,逐步引入期初胸径、种内和种间竞争指数,以探究竞争和生长对于单木胸径变化的影响,并利用非线性混合效应模型进行模型精度的提升。
      结果 模型拟合结果显示:以期初胸径、种内Hegyi竞争指数、种间Hegyi竞争指数为预测变量,树种水平下随机效应作用在参数a0a2a3上时,模型具有最优的拟合效果,且未出现异方差现象。建模数据的调整决定系数(R_\rmadj^2)、均方根误差(RMSE)、总相对误差(TRE)分别为0.512 6、0.607 1、3.651 9%,利用检验数据对模型进行独立样本检验,检验数据的R_\rmadj^2为0.509 8,检验RMSE均为0.624 2,检验TRE均为3.883 1%,检验数据的残差分布未出现明显的异方差现象。
      结论 云冷杉天然林中影响对象木胸径生长的因素包括单木大小因子与竞争因子。期初胸径对胸径生长的影响较大,为正向作用。竞争因子中,种内竞争和种间竞争均对单木胸径的生长具有明显的调控作用,为负向抑制作用。本文所构建的基于树种水平的非线性混合效应模型能够为研究区天然云冷杉林中对象木的胸径生长预测提供一定的理论基础以及技术参考。

       

      Abstract:
      Objective Based on the Hegyi intraspecific and interspecific competition indexes related to distance, the prediction model of DBH increment of natural spruce-fir forest was constructed based on initial DBH and Hegyi competition index.
      Method In order to explore the effects of competition and growth on DBH growth of individual trees, the measured data of three permanent sample plots (each of 1 ha) of spruce-fir in Jingouling Forest Farm, Jilin Province of northeastern China in 2013 were utilized. Based on the nonlinear Logistics model, initial DBH, intraspecific and interspecific competition indexes were gradually added. The nonlinear mixed-effect model was utilized to improve the model accuracy.
      Result The results of model fitting showed that the model had the best fitting effect when initial DBH, intraspecific and interspecific Hegyi competition indexes were used as predictive variables, the best fitting efficiency occurred based on the species-level of random effect worked on parameters a0, a2, a3, and without heteroscedasticity. The R_\rmadj^2 , root mean squared error (RMSE) and total relative error (TRE) of modeling data were 0.512 6, 0.607 1, 3.651 9%, respectively. The R_\rmadj^2 , RMSE and TRE of validation data were 0.509 8, 0.624 2, 3.883 1%, respectively. The residual distribution of validation data did not show obvious heteroscedasticity.
      Conclusion The factors affect the diameter growth of target trees in natural spruce-fir forest, including self-growth factors and competition factors. Among the self-growth factors, initial DBH is the main factor and plays a positive role to promote DBH increment. Among the competition factors, interspecific competition and intraspecific competition have obvious inhibition effects on the growth of individual tree DBH increment. The nonlinear mixed effect model based on species-level can provide a theoretical basis and technical reference for the DBH growth of target trees in natural spruce-fir forest in the study area.

       

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