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Updated: Dec 14, 2025

Development of an Individual-Tree Basal Area Increment Model using a Linear Mixed-Effects Approach
Published on: July 3, 2020
MAppleT: simulation of apple tree development using mixed stochastic and biomechanical models
Evelyne Costes1, Colin Smith1, Michael Renton2
1INRA, UMR 1098 CIRAD-INRA-Montpellier SupAgro-UM2, 2 Place Viala, F-34060 Montpellier, France.
This study introduces MAppleT, a novel simulation tool that integrates plant topology and geometry to model apple tree architecture. The software captures growth dynamics and interactions with gravity, improving 3D tree modeling.
Area of Science:
- * Computational botany
- * Plant modeling
- * Horticultural science
Background:
- * Traditional tree architectural databases are time-consuming and struggle to capture dynamic changes in topology and geometry.
- * Simulating tree development requires integrating models of both plant structure (topology) and physical form (geometry).
Purpose of the Study:
- * To develop a unified simulation approach for modeling apple tree architecture by integrating topology and geometry.
- * To create a dynamic 3D model that captures the emergence of tree form from process interactions.
- * To assess the model's accuracy by comparing simulated and digitized tree characteristics.
Main Methods:
- * Utilized L-systems to integrate topological and geometrical modeling.
- * Employed a mixed approach with stochastic models for plant topology and mechanistic models for geometry.
- * Modeled growth units (GUs) and branching using a hierarchical hidden Markov model.
- * Incorporated a biomechanical model to simulate stem form, considering growth dynamics and gravity.
Main Results:
- * Developed MAppleT, a simulation tool generating 3D mock-ups of apple tree progression over time.
- * Performed sensitivity analysis and compared simulated versus digitized tree descriptors (GU count, shoot/axis geometry).
- * Demonstrated the model's ability to represent key architectural features and growth dynamics.
Conclusions:
- * MAppleT successfully integrates topology and geometry for simulating apple tree development.
- * The model captures the influence of gravity on tree architecture.
- * Despite limitations, MAppleT is a valuable tool for understanding and predicting apple tree growth patterns.
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