Stand dominant height estimation model for Chinese fir plantations

He Xiao, Huang Hongchao, Ma Zeyu, Gao Wenqiang, Zeng Weisheng, Chen Xinyun, Lei Xiangdong

Journal of Nanjing Forestry University (Natural Sciences Edition) ›› 2026, Vol. 50 ›› Issue (4) : 264-269.

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Journal of Nanjing Forestry University (Natural Sciences Edition) ›› 2026, Vol. 50 ›› Issue (4) : 264-269. DOI: 10.12302/j.issn.1000-2006.202505016

Stand dominant height estimation model for Chinese fir plantations

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Abstract

【Objective】A stand dominant height estimation model for Cunninghamia lanceolata (Chinese fir) plantations was developed to provide a foundation for site quality assessment and growth prediction of Chinese fir plantations.【Method】Based on survey data from Chinese fir plantation plots from the two phases of the National Forest and Grassland Ecosystem Integrated Monitoring Program in 2021 and 2022, we constructed dominant height estimation models using the ordinary least squares regression (OLS), the independent measurement error-in-variable model (IEIVM), and the simultaneous measurement error-in-variable equations (SEIVE). These models were used to realize the conversion among stand dominant height, stand mean height, and stand mean diameter at breast height (DBH), and the models were evaluated using indicators such as the coefficient of determination (R2), root mean square error (RMSE), and relative root mean square error (RRMSE).【Result】(1) The stand dominant height estimation models established by the IEIVM and SEIVE methods performed significantly better than that by the OLS method, with R2 ranging from 0.697 to 0.718 and RRMSE is between 16.08% and 16.59%. (2) After considering the error structure among variables, the SEIVE method was slightly superior to the IEIVM method, and the fitting effect of the model was better, and it could realize accurate mutual predictions in the three variables.【Conclusion】The stand dominant height estimation model of Chinese fir based on SEIVE and considering the error structures among variables has good applicability and predictive performance. It supports the sequential prediction of mean DBH to mean height and dominant height, which provides a fundamental model for the site quality evaluation of Chinese fir plantations.

Key words

stand dominant height / stand mean height / stand mean DBH / measurement error / Cunninghamia lanceolata(Chinese fir) plantations

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He Xiao , Huang Hongchao , Ma Zeyu , et al . Stand dominant height estimation model for Chinese fir plantations[J]. Journal of Nanjing Forestry University (Natural Sciences Edition). 2026, 50(4): 264-269 https://doi.org/10.12302/j.issn.1000-2006.202505016

References

[1]
李凤日. 测树学[M]. 5版. 北京: 中国林业出版社, 2024.
Li F R. Dendrometry[M]. 5th ed. Beijing: China Forestry Publishing House, 2024.
[2]
唐守正. 广西大青山马尾松全林整体生长模型及其应用[J]. 林业科学研究, 1991, 4(增刊1):8-13.
Tang S Z. Integrated stand growth model of massion pine in Daqingshan Mountain, Guangxi[J]. Forest Research, 1991, 4(S1): 8-13.
[3]
何潇, 雷相东, 段光爽, 等. 气候变化对落叶松人工林生物量生长的影响模拟[J]. 南京林业大学学报(自然科学版), 2023, 47(3):120-128.
He X, Lei X D, Duan G S, et al. Modelling the effects of climate change on stand biomass growth of larch plantations[J]. Journal of Nanjing Forestry University (Natural Sciences Edition), 2023, 47(3):120-128.
[4]
林昌庚, 周春国, 林俊钦, 等. 关于地位级表[J]. 林业资源管理, 1997(5):31-34.
Lin C G, Zhou C G, Lin J Q, et al. On the status scale[J]. Forest Resources Management, 1997(5):31-34. DOI:10.13466/j.cnki.lyzygl.1997.05.009.
[5]
唐守正. 利用对偶回归和结构关系建立林分优势高和平均高模型[J]. 林业科学研究, 1991, 4(增刊1):57-62.
Tang S Z. An application of dual regression and structural relationship to develop the model of stand dominant height and average height[J]. Forest Research, 1991, 4 (S1): 57-62.
[6]
唐守正, 张淑梅. 度量误差模型及其应用[J]. 生物数学学报, 1998, 13(2):161-166.
Tang S Z, Zhang S M. Measurement error models and their applications[J]. Journal of Biomathematics, 1998, 13(2):161-166. DOI:10.3969/j.issn.1001-9626.1998.02.008.
[7]
杨子铎, 李新建, 朱光玉, 等. 基于混合效应的湖南杉木人工林平均高和优势木平均高相关关系模型[J]. 中南林业科技大学学报, 2022, 42(3):62-71.
Yang Z D, Li X J, Zhu G Y, et al. Correlation model of average height and dominant average height of Cunninghamia lanceolata plantations in Hunan Province based on mixed effect[J]. Journal of Central South University of Forestry & Technology, 2022, 42(3):62-71. DOI:10.14067/j.cnki.1673-923x.2022.03.007.
[8]
朱光玉, 吕勇, 易煊, 等. 雪峰山杉木、马尾松地位指数互导模型的研究[J]. 湖南林业科技, 2005, 32(6):39-41,44.
Zhu G Y, Y, Yi X, et al. Study on the correlativity model between the site index of Fir and Pinus massoniana[J]. Hunan Forestry Science & Technology, 2005, 32(6):39-41,44. DOI:10.3969/j.issn.1003-5710.2005.06.011.
[9]
吕勇, 朱光玉, 易烜, 等. 基于对偶回归的杉木与马尾松地位指数互导模型[J]. 林业资源管理, 2007(1):72-74,28.
Y, Zhu G Y, Yi X, et al. The dual regression based interconvertible model of the site indices of Chinese fir and Masson pine[J]. Forest Resources Management, 2007(1):72-74,28. DOI:10.13466/j.cnki.lyzygl.2007.01.017.
[10]
董晨, 吴保国, 张瀚. 基于冠幅的杉木人工林胸径和树高参数化预估模型[J]. 北京林业大学学报, 2016, 38(3):55-63.
Dong C, Wu B G, Zhang H. Parametric prediction models of DBH and height for Cunninghamia lanceolata plantation based on crown width[J]. Journal of Beijing Forestry University, 2016, 38(3):55-63. DOI:10.13332/j.1000-1522.20150129.
[11]
夏洪涛, 郭晓斌, 张珍, 等. 基于不同立地质量评价指标的杉木大径材林分树高-胸径模型[J]. 中南林业科技大学学报, 2023, 43(10):80-88.
Xia H T, Guo X B, Zhang Z, et al. Height-diameter model of Cunninghamia lanceolata large-diameter stands based on various site quality evaluation index[J]. Journal of Central South University of Forestry & Technology, 2023, 43(10):80-88. DOI:10.14067/j.cnki.1673-923x.2023.10.009.
[12]
曾伟生, 夏忠胜, 朱松, 等. 贵州人工杉木相容性立木材积和地上生物量方程的建立[J]. 北京林业大学学报, 2011, 33(4):1-6.
Zeng W S, Xia Z S, Zhu S, et al. Compatible tree volume and above-ground biomass equations for Chinese fir plantations in Guizhou[J]. Journal of Beijing Forestry University, 2011, 33(4):1-6. DOI:10.13332/j.1000-1522.2011.04.021.
[13]
曾伟生. 我国杉木通用性立木生物量模型研究[J]. 中南林业调查规划, 2013, 32(4):4-11,15.
Zeng W S. Generalized tree biomass equations of Chinese fir in China[J]. Central South Forest Inventory and Planning, 2013, 32(4):4-11,15. DOI:10.16166/j.cnki.cn43-1095.2013.04.012.
[14]
唐守正, 李勇. 一种多元非线性度量误差模型的参数估计及算法[J]. 生物数学学报, 1996, 11(1):23-27.
Tang S Z, Li Y. An algorithm for estimating multivariate non-linear error-in-measure models[J]. Journal of Biomathematics, 1996, 11(1):23-27.
[15]
唐守正, 郎奎建, 李海奎. 统计和生物数学模型计算:ForStat教程[M]. 北京: 科学出版社, 2009.
Tang S Z, Lang K J, Li H K. Statistical and biomathematics model calculation:ForStat course[M]. Beijing: Science Press, 2009.
[16]
曾伟生. 林业中互为自因变量模型拟合方法研究[J]. 林草资源研究, 2024(4):78-83.
Zeng W S. Fitting methods of mutual dependent variable models in forestry[J]. Forest and Grassland Resources Research, 2024(4):78-83. DOI:10.13466/j.cnki.lczyyj.2024.04.009.
[17]
李桂珍, 郭文清, 刘沙. 马尾松人工纯林全林整体生长模型的研究[J]. 湖南林业科技, 2014, 41(4):22-26.
Li G Z, Guo W Q, Liu S. Research on the integrated stand model of pure Pinus massoniana forest[J]. Hunan Forestry Science & Technology, 2014, 41(4):22-26. DOI:10.3969/j.issn.1003-5710.2014.04.005.
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