Vegetation pattern formation in semiarid systems without facilitative mechanisms
arXiv:1308.1810 · doi:10.1002/2013GL058797
Abstract
Regular vegetation patterns in semiarid ecosystems are believed to arise from the interplay between long-range competition and facilitation processes acting at smaller distances. We show that, under rather general conditions, long-range competition alone may be enough to shape these patterns. To this end we propose a simple, general model for the dynamics of vegetation, which includes only long-range competition between plants. Competition is introduced through a nonlocal term, where the kernel function quantifies the intensity of the interaction. We recover the full spectrum of spatial structures typical of vegetation models that also account for facilitation in addition to competition.
21 pages, 3 figures
References in corpus (1)
Cited by in corpus (21)
- Fairy circle landscapes under the sea
- Strong interaction between plants induces circular barren patches: fairy circles
- On localized vegetation patterns, fairy circles and localized patches in arid landscapes
- Minimal mechanisms for vegetation patterns in semiarid regions
- Integrating theory and experiments to link local mechanisms and ecosystem-level consequences of vegetation patterns in drylands
- Pattern formation with repulsive soft-core interactions: discrete particle dynamics and Dean-Kawasaki equation
- Dynamics of growth, death, and resource competition in sessile organisms
- Pattern Formation in Populations with Density-Dependent Movement and Two Interaction Scales
- Formation of localized states in dryland vegetation: Bifurcation structure and stability
- Landscape-induced spatial oscillations in population dynamics
- Interplay between scales in the nonlocal FKPP equation
- Spatial patterns of competing random walkers
- Demographic effects of aggregation in the presence of a component Allee effect
- Patterns, localized structures and fronts in a reduced model of clonal plant growth
- Pulsed interaction signals as a route to biological pattern formation
- Aperiodic clustered and periodic hexagonal vegetation spot arrays explained by inhomogeneous environments and climate trends in arid ecosystems
- Flow spatial structure determines pattern instabilities in nonlocal models of population dynamics
- Pulsed interactions unify reaction-diffusion and spatial nonlocal models for biological pattern formation
- Influence of density-dependent diffusion on pattern formation in a refuge
- Neural models for prediction of spatially patterned phase transitions: methods and challenges
- Vegetation pattern formation induced by local growth outpacing susceptibility to non-local competition