Vegetation pattern formation in a sinuous free-scale landscape
Populations and Evolution
2019-03-19 v1 Pattern Formation and Solitons
Abstract
The original Hardenberg's model of biomass patterns in arid and semi-arid regions is revisited to extend it to more general non flat regions. It is proposed a technique to study these more generalized (non-flat) regions using both a conservation criterion and a explicit spatial dependent function . In this paper a study of dynamical stability around system's fixed points made. Under the idea of predictability via air images a fitted relationship among dynamical variables at stable fixed points is stablished. Also, is presented a discrete version of the model, in the form of Cellular Automata techniques, that allows to neglect the spatial scale and reproduces realistic stable spatial patterns.
Cite
@article{arxiv.1903.07257,
title = {Vegetation pattern formation in a sinuous free-scale landscape},
author = {Rubén Martínez D and Andrea Montiel P. and J. F. Rojas},
journal= {arXiv preprint arXiv:1903.07257},
year = {2019}
}
Comments
14 pages