Related Experiment Video
Updated: Feb 14, 2026

Field Measurement of Effective Leaf Area Index using Optical Device in Vegetation Canopy
Published on: July 29, 2021
On a nonlocal system for vegetation in drylands
Matthieu Alfaro1, Hirofumi Izuhara2, Masayasu Mimura3,4
1IMAG, Université de Montpellier, CC051, Place Eugène Bataillon, 34095, Montpellier Cedex 5, France. matthieu.alfaro@umontpellier.fr.
Abstract:
Several mathematical models are proposed to understand spatial patchy vegetation patterns arising in drylands. In this paper, we consider the system with nonlocal dispersal of plants (through a redistribution kernel for seeds) proposed by Pueyo et al. (Oikos 117:1522-1532, 2008) as a model for vegetation in water-limited ecosystems. It consists in two reaction diffusion equations for surface water and soil water, combined with an integro-differential equation for plants. For this system, under suitable assumptions, we prove well-posedness using the Schauder fixed point theorem. In addition, we consider the stationary problem from the viewpoint of vegetated pattern formation, and show a transition of vegetation patterns when parameter values (rainfall, seed dispersal range, seed germination rate) in the system vary. The influence of the shape of the redistribution kernel is also discussed.
Related Concept Videos
Correlations
First Law of Thermodynamics
Dietary Connections
Plant Hormones
Habitat Fragmentation
The Angiosperm Life Cycle

