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

Zhou Zeyu; Zhou Chaofan; Hu Xingguo; Chen Keyi; Du Manyi; Zhang Huiru; Fu Liyong

doi:10.12171/j.1000-1522.20210510

Journal of Beijing Forestry University > 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

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

1.
Experimental Center of Forestry in North China, Chinese Academy of Forestry, Beijing 102300, China
2.
Ecology and Nature Conservation Institute, Chinese Academy of Forestry, Beijing 100091
3.
Wangqing Forestry Bureau, Wangqing 133200, Jinlin, China
4.
Research Institute of Forestry Policy and Information, Chinese Academy of Forestry, Beijing 100091, China
5.
Research Institute of Forest Resources Information Techniques, Chinese Academy of Forestry, Key Laboratory of Forest Management and Growth Modeling, National Forestry and Grassland Administration, Beijing 100091, China

More Information

Received Date: November 30, 2021
Revised Date: May 24, 2023
Accepted Date: May 25, 2023
Available Online: May 30, 2023

Graphical Abstract

Abstract

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 $R_{{\rm{adj}}}^2$ , 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 $R_{{\rm{adj}}}^2$ , 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.
- Hegyi competition index,
- initial diameter at breast height,
- mixed effect model,
- DBH increment

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