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Updated: Jul 17, 2026

Development of an Individual-Tree Basal Area Increment Model using a Linear Mixed-Effects Approach
Published on: July 3, 2020
Crown ratio influences allometric scaling in trees
Annikki Mäkelä1, Harry T Valentine
1Department of Forest Ecology, P.O. Box 27, 00014 University of Helsinki, Finland. annikki.makela@helsinki.fi
This study explores how tree structure, like branch shedding and tapering, affects allometric scaling rules. Findings suggest scaling exponents deviate from universal predictions, particularly concerning woody mass and foliage relationships.
Area of Science:
- Ecology
- Plant Biology
- Allometry
Background:
- Allometric theories propose universal scaling rules in organisms, often quarter-power scaling.
- Woody plant structure is complex, influenced by factors like branch death, heartwood accumulation, and tapering, which are often overlooked in scaling theories.
Purpose of the Study:
- To investigate the impact of specific woody plant structural features on allometric scaling.
- To develop a model that accounts for crown ratio variations and their influence on tree scaling relationships.
Main Methods:
- Describing tree structure as branching networks (crown) and tapering bundles (below crown).
- Modeling crown ratio as independent of crown size, linking trunk and crown dimensions empirically.
- Analyzing scaling relationships within the crown and for the whole tree.
Main Results:
- The developed model predicts scaling exponents generally less than three-quarters, deviating from universal quarter-power scaling.
- Predicted scaling between woody mass and foliage is dependent on the crown ratio.
- Empirical data from three boreal tree species support the model's predictions.
Conclusions:
- Incorporating structural complexities like crown ratio variation refines allometric scaling predictions for woody plants.
- The study highlights the importance of considering species-specific structural traits in allometric analyses.
- Model predictions align with observed scaling patterns in boreal trees.
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