2019/03/18 by Rubén Martínez D, D, Rubén Martínez, P Andrea Montiel +3
Environmental Science · #Ecology and Vegetation Dynamics Studies #Ecosystem dynamics and resilience #FOS: Biological sciences #FOS: Physical sciences #Land Use and Ecosystem Services #Pattern Formation and Solitons (nlin.PS) #Populations and Evolution (q-bio.PE)
paper · pdf · doi:10.48550/arxiv.1903.07257
openalex publication_date 2019/03/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 ν(x). 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.