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Related Experiment Video

Updated: Mar 7, 2026

Development of an Individual-Tree Basal Area Increment Model using a Linear Mixed-Effects Approach
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Competition for light in forest population dynamics: From computer simulator to mathematical model.

Pierre Magal1, Zhengyang Zhang1

  • 1Univ. Bordeaux, IMB, UMR 5251, F-33400 Talence, France; CNRS, IMB, UMR 5251, F-33400 Talence, France.

Journal of Theoretical Biology
|February 28, 2017
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Summary

This study models forest growth, comparing a mathematical model to the SORTIE simulator. Light competition primarily impacts tree growth rate for the best model fit, informing forest dynamics simulations.

Keywords:
Computer forest simulatorSORTIE modelSize structured modelSpatial structured modelState dependent delay differential equations

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Area of Science:

  • Ecology
  • Forestry
  • Mathematical Modeling

Background:

  • Forest growth is complex, influenced by factors like light competition.
  • Computer simulators like SORTIE aid in understanding forest dynamics.
  • Existing models require validation and parameter refinement.

Purpose of the Study:

  • To develop and validate a mathematical model for forest growth.
  • To compare the mathematical model's performance against the SORTIE simulator.
  • To investigate the influence of light competition on tree growth dynamics.

Main Methods:

  • Constructed a size-structured population dynamics model.
  • Utilized the SORTIE forest simulator for parameter estimation.
  • Estimated mathematical model parameters using SORTIE, referencing Great Mountain Forest data.

Main Results:

  • The best model fit occurred when light competition solely affected tree growth rate.
  • The mathematical model demonstrated comparability with the SORTIE simulator.
  • Developed models for one and two species with spatial structure.

Conclusions:

  • Light competition is a critical factor, primarily influencing tree growth rate.
  • Mathematical models can effectively simulate forest dynamics when parameterized appropriately.
  • The developed model provides a framework for studying multi-species forest ecosystems.