A tree-growth model to optimize silviculture

Patrice Loisel (1) , Jean-François Dhôte (2)

1 MISTEA - Mathématiques, Informatique et STatistique pour l'Environnement et l'Agronomie
2 ONF - Office national des forêts

In this paper, we present the description of a simplified model of the dynamic of a mono-specific even-aged forest. The model studied is a tree-growth model based on a system of two ordinary differential equations concerning the tree basal area and the number of trees. The analytical study of this model permits us to predict the behavior of the system solutions. We are trying to highlight the influence of economic parameters and growth parameters on the system solutions, in the framework of the optimization of silviculture.

Mots clés: Growth model; Optimization; Control

Domaines: Optimisation et contrôle [math.OC]; Environnement et Société

Patrice Loisel, Jean-François Dhôte. A tree-growth model to optimize silviculture. Nonlinear Analysis: Real World Applications, 2011, 12 (5), pp.2784-2793. ⟨10.1016/j.nonrwa.2011.04.002⟩. ⟨hal-00933472⟩