Towards a universal law of tree morphology by combining fractal geometry and statidtical physics

Jean Duchesne (1) , Pierre Raimbault (1) , Cyril Fleurant (2)

1 PAYSAGE - Unité Paysage et Ecologie
2 LETG - Littoral, Environnement, Télédétection, Géomatique UMR 6554

This article aims at establishing a very general law of plant organization. By introducing the notion of hydraulic lengths which are considered as the coordinates of a symbolic space with n-dimensions, a reasoning of statistical physics, derived from Maxwell's method, and combining with the fractal geometry leads to a law of hydraulics lengths distribution which could appear very general because it is the remarkable gamma law form.

Domaines: Ecologie, Environnement

Jean Duchesne, Pierre Raimbault, Cyril Fleurant. Towards a universal law of tree morphology by combining fractal geometry and statidtical physics. Emergent Nature: patterns, growth and scaling in the sciences, 2001, pp.93-102. ⟨hal-00735570⟩