Figure 8: Extended field simulation.
From: Self-Replication of Localized Vegetation Patches in Scarce Environments
Numerical simulations of the non-variational phytomass model (4) for 1890 randomly distributed localized patches as initial conditions, each patch is in a different state of the self-replication process, with η = 0.1, κ = 0.6, Δ = 0.02 Γ = 0.5, and α = 0.125, integration grid of 1000 × 1000 with spacing dx = 0.5, and periodic boundary conditions. (a) Shows a portion of the system after a determined temporal evolution. Green areas represent vegetation patches. (b) PDF of the NND between the structures, with Rayleigh distribution fit. (c) Voronoi tessellation of the full system. 6-sided tiles are color red. (d,e) show the corresponding PDFs for the number of vertices in each cell, and tile area (with inverse Gaussian fit), respectively. (f) Fourier spectrum of the resulting field.
