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应用生态学报 ›› 2026, Vol. 37 ›› Issue (3): 718-730.doi: 10.13287/j.1001-9332.202603.003

• 研究论文 • 上一篇    下一篇

基于TLS数据的东北珍贵硬阔叶林单木树高与枝下高预测模型

谢明睿1, 贾炜玮1,2*, 王帆1, 王一东3, 李鹏宇3, 何玉龙3   

  1. 1东北林业大学林学院, 哈尔滨 150040;
    2东北林业大学森林生态系统可持续经营教育部重点实验室, 哈尔滨 150040;
    3哈尔滨市林业和草原局直属国有林场, 哈尔滨 150040
  • 收稿日期:2025-11-27 接受日期:2026-01-10 出版日期:2026-03-18 发布日期:2026-09-18
  • 通讯作者: *E-mail: jiaww2002@163.com
  • 作者简介:谢明睿, 男, 2002年生, 硕士研究生。主要从事林业遥感和林分生长与收获模型研究。E-mail: xie-mingrui020108@qq.com
  • 基金资助:
    国家重点研发计划项目(2022YFD2201003-02)和哈尔滨市林业和草原局直属林场森林修复技术咨询项目(HFW240100013)

Prediction models for tree height and height to crown base of individual trees in valuable hardwood broad-leaved forests of Northeast China based on terrestrial laser scanning data

XIE Mingrui1, JIA Weiwei1,2*, WANG Fan1, WANG Yidong3, LI Pengyu3, HE Yulong3   

  1. 1School of Foresty, Northeast Forestry University, Harbin 150040, China;
    2Ministry of Education Key Laboratory of Sustainable Forest Ecosystem Management, Northeast Forestry University, Harbin 150040, China;
    3State-Owned Forestry Farms Directly under the Harbin Forestry and Grassland Bureau, Harbin 150040, China
  • Received:2025-11-27 Accepted:2026-01-10 Online:2026-03-18 Published:2026-09-18

摘要: 树高与枝下高是森林生长监测与可持续经营的关键参数,精准预测树高和枝下高对珍贵硬阔叶林的资源保护与高效利用具有重要意义。本研究以黑龙江省转山实验林场的水曲柳、胡桃楸和黄檗为对象,结合地基激光雷达(TLS)点云数据与野外实测数据,构建树高和枝下高预测模型。首先筛选最优基础模型,然后引入单木因子(枝下高)、竞争因子(相对直径、大于对象木胸径断面积和)、林分结构(优势木胸径、胸径基尼系数)及物种多样性(混交度、物种均匀度)等变量构建广义模型,最后考虑样地水平随机效应,建立混合效应模型。结果表明:样木总体匹配率达到96%,TLS提取的树高、枝下高和胸径与实测数据的决定系数(R2)分别为0.80、0.75和0.98,均方根误差(RMSE)分别为2.00 m、1.96 m、0.93 cm。树高与枝下高的最优基础模型分别为指数倒数模型(R2=0.637,RMSE=2.739 m)和双变量交互项模型(R2=0.373,RMSE=2.981 m);引入多变量的广义模型能显著提升预测精度,树高模型和枝下高模型R2分别提升24.2%和20.9%,RMSE降低39.4%和6.3%。考虑样地水平的混合效应模型表现最优,树高和枝下高的混合效应模型较广义模型R2分别提升11.8%和7.1%,RMSE降低29.1%和3.8%。研究表明,结合TLS数据与多层级生态因子的混合效应建模能有效提升珍贵硬阔叶林垂直结构参数的预测精度,为东北珍贵硬阔叶林精准经营与动态监测提供了可靠的技术支持。

关键词: 硬阔叶林, 地基激光雷达, 树高, 枝下高, 混合效应模型

Abstract: Tree height and height to crown base are key parameters for the monitoring of forest growth and sustainable forest management. Accurate prediction of these variables is essential for the conservation and efficient utilization of valuable hardwood broad-leaved forests. In this study, we developed prediction models for tree height and height to crown base of Fraxinus mandshurica, Juglans mandshurica, and Phellodendron amurense in the Zhuan-shan Experimental Forest Farm of Heilongjiang Province, to by combining terrestrial laser scanning (TLS) point cloud data with field-measured data. First, optimal basic models were screened, and generalized models were then constructed by introducing individual-tree factors (height to crown base), competition factors (relative diameter and basal area of trees larger than the subject tree), stand structure variables (dominant diameter and Gini coefficient of diameter), and species diversity indices (mingling index and Pielou evenness index). Finally, mixed-effects models were established by incorporating plot-level random effects. The results showed that the overall fitness for individual trees reached 96%, and the coefficients of determination (R2) between TLS-derived tree height, height to crown base, and diameter at breast height and field measurements were 0.80, 0.75, and 0.98, respectively, with corresponding root mean square error (RMSE) values of 2.00 m, 1.96 m and 0.93 cm. The optimal basic models for tree height and height to crown base were the exponential reciprocal model (R2=0.637, RMSE=2.739 m) and the bivariate interaction model (R2=0.373, RMSE=2.981 m), respectively. The introduction of multiple variables in the generalized models significantly improved prediction accuracy, with R2 increasing by 24.2% and 20.9% and RMSE decreasing by 39.4% and 6.3% for tree height and height to crown base models, respectively. The mixed-effects models considering plot-level random effects performed the best, with R2 further increasing by 11.8% and 7.1% and RMSE decreasing by 29.1% and 3.8% for tree height and height to crown base models, respectively, compared with the corresponding generalized models. Overall, mixed-effects modeling combining TLS data with multi-level ecological factors effectively improved the prediction accuracy of vertical structural parameters in valuable hardwood broad-leaved forests, which could provide reliable technical support for precision forest management and dynamic monitoring in Northeast China.

Key words: hardwood broad-leaved forest, terrestrial laser scanning (TLS), tree height, height to crown base, mixed-effects model