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Updated: Jun 16, 2026

Development of an Individual-Tree Basal Area Increment Model using a Linear Mixed-Effects Approach
Published on: July 3, 2020
Generalized height-diameter models for Picea orientalis L.
1Faculty of Forestry, Artvin Coruh University, Artvin - 08000, Turkey. sonmez_turan@yahoo.com
This study compared tree height estimation models for Oriental spruce (Picea orientalis L.) using diameter and stand variables. Model [8] provided the most accurate height predictions, validated by independent data.
Area of Science:
- Forestry
- Ecology
- Biometrics
Background:
- Accurate tree height estimation is crucial for forest inventory and management.
- Stand and individual tree variables are commonly used in height-diameter models.
- Picea orientalis (Oriental spruce) is an important timber species in northeastern Turkey.
Purpose of the Study:
- To compare the performance of major non-linear models for estimating the height of Picea orientalis L. trees.
- To identify the best-performing model for height estimation based on individual tree diameter and stand variables.
Main Methods:
- Data were collected from 440 Picea orientalis trees in pure, even-aged stands near Artvin, Turkey.
- 17 non-linear models were fitted using data from 406 trees for model development.
- Model performance was evaluated using R-squared (R2) and mean square error (MSE).
- Independent data from the remaining trees were used for model validation.
Main Results:
- Several models demonstrated similar height estimation capabilities.
- Model [8] achieved the highest R2 (0.8703) and the lowest MSE (5.47) during development.
- Model [8] and Model [16] showed the best height prediction accuracy on the independent validation dataset.
Conclusions:
- Model [8] is recommended for accurate height estimation of Picea orientalis L. in similar forest conditions.
- The study highlights the importance of model validation using independent data for reliable height predictions.
- Diameter and stand variables are effective predictors for Oriental spruce height estimation.
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