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Updated: Sep 24, 2025

Development of an Individual-Tree Basal Area Increment Model using a Linear Mixed-Effects Approach
Published on: July 3, 2020
Predicting crown width using nonlinear mixed-effects models accounting for competition in multi-species secondary
1College of Forestry, Guizhou University, Guiyang, Guizhou, China.
Accurate crown width (CW) prediction is vital for forest management. New nonlinear mixed-effects models incorporating tree species and competition effects improve CW estimation in multi-species forests, offering practical forestry applications.
Area of Science:
- Forestry Science
- Ecology
- Quantitative Biology
Background:
- Crown width (CW) is a key tree variable for forest growth modeling and management.
- Accurate CW prediction is crucial for effective forest inventory and evaluation.
Purpose of the Study:
- To develop nonlinear mixed-effects models for predicting individual tree crown width (CW) in multi-species secondary forests.
- To incorporate tree species as a random effect and account for competition effects on CW.
Main Methods:
- A simple power function was used for the basic CW model.
- Nonlinear mixed-effects models were developed using diameter at breast height (DBH), height to crown base (HCB), tree height (TH), and competition indices (CI).
- Both distance-independent (Sum of Relative DBH - SRD) and distance-dependent (Sum of Hegyi index for fixed number competitors - SHGN) competition indices were evaluated.
Main Results:
- The developed models explained over 50% of CW variation without significant residual trends.
- Spatially explicit models showed a larger effect on CW but are computationally complex.
- Spatially non-explicit models provide a practical alternative due to minimal differences in fit statistics.
Conclusions:
- Nonlinear mixed-effects models incorporating species and competition improve CW prediction in secondary forests.
- Spatially non-explicit models offer a viable and less complex alternative to spatially explicit models for practical forestry applications.
- The developed models can aid in the evaluation and management of secondary forests.
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