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Updated: May 25, 2026

Development of an Individual-Tree Basal Area Increment Model using a Linear Mixed-Effects Approach
Published on: July 3, 2020
[Simulation of Larix gmelinii tree volume growth based on random effect]
Li-Chun Jiang1, Shu-Li Du, Feng-Ri Li
1College of Forestry, Northeast Forestry University, Harbin 150040, China. jlichun@yahoo.com
This study developed nonlinear tree volume growth models for Dahurian larch plantations. Random effect models incorporating individual tree and plot effects improved prediction accuracy, with individual tree effects showing greater precision.
Area of Science:
- Forestry science
- Quantitative ecology
- Biometrics
Context:
- Dahurian larch (Larix gmelinii) plantations are significant in Heilongjiang Province.
- Accurate tree volume growth modeling is crucial for sustainable forest management.
- Existing models may not fully capture individual tree and plot-level variations.
Purpose:
- To fit nonlinear tree volume growth models for Dahurian larch using the Logistic growth model.
- To evaluate and compare the prediction precision of models considering individual tree effects and plot effects.
- To identify the optimal model structure for predicting tree volume growth.
Summary:
- Stem analysis data from 80 Dahurian larch trees were used with the Nonlinear Mixed-Effects (NLME) procedure.
- Random effect models, particularly those with parameters b1, b2, and b3 for individual tree effects, and b1 for plot effects, demonstrated superior performance.
- Models incorporating both individual tree and plot effects outperformed the basic Logistic model, with individual tree effects yielding higher precision.
Impact:
- The developed random effect models accurately represent mean tree volume growth trends and individual variations.
- Enhanced model fitting and prediction precision contribute to improved forest inventory and yield forecasting.
- Model validation confirms the utility of random effects for capturing heterogeneity in tree growth, with potential for further refinement through parameter calibration.
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