Related Experiment Video
Updated: Jul 30, 2026

The Calibration and Use of Capacitance Sensors to Monitor Stem Water Content in Trees
Published on: December 27, 2017
An allometric model for trees
C Fleurant1, J Duchesne, P Raimbault
1Landscape Laboratory, National Institute of Horticulture, 2 rue Le Nôtre, 49045 Angers cedex 01, France. cfleu@nimbus.geog.ox.ac.uk
Abstract:
This paper presents a general mathematical model for the morphometric description of trees. This model is based on the introduction of fractal theory, and more particularly of the concept of self-similarity, into a statistical physics rationale. Fractal theory provides the necessary tools to describe the complexity of tree structure. Statistics, when applied to physics, makes it possible to explain the properties of complex objects starting from their components. The combination of both tools allowed us to develop a theoretical model that is the probability density function of the morphometric lengths of trees. An example of validation of this law is given here: the theoretical model of morphometric lengths is compared with experimental data of Cupressocyparis.
Related Concept Videos
Phylogenetic Trees
Meristems and Plant Growth
Phylogenetic Trees
Survival Tree
Building a Survival Tree
Constructing a survival tree begins...
Exponential Equations for Modeling Growth
Modeling with Differential Equations

