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Climate changes may affect ecosystems destabilising relationships among species. We investigate the spatial rock-paper-scissors models with a regional unevenness that reduces the selection capacity of organisms of one species. Our results…

Populations and Evolution · Quantitative Biology 2023-06-06 J. Menezes , M. Tenorio

The hierarchy of channel networks in landscapes displays features that are characteristic of non-equilibrium complex systems. Here we show that a sequence of increasingly complex ridge and valley networks is produced by a system of partial…

Geophysics · Physics 2019-05-09 Sara Bonetti , Milad Hooshyar , Carlo Camporeale , Amilcare Porporato

Many mathematical models describing vegetation patterns are based on biomass--water interactions, due to the impact of this limited resource in arid and semi-arid environments. However, in recent years, a novel biological factor called…

Dynamical Systems · Mathematics 2026-04-20 Francesco Giannino , Annalisa Iuorio , Cinzia Soresina

We develop a landscape-flux framework to investigate observed frequency distributions of vegetation and the stability of these ecological systems under fluctuations. The frequency distributions can characterize the population-potential…

Populations and Evolution · Quantitative Biology 2022-10-12 Li Xu , Denis Patterson , Ann Carla Staver , Simon Asher Levin , Jin Wang

A feature common to many models of vegetation pattern formation in semi-arid ecosystems is a sequence of qualitatively different patterned states, "gaps -> labyrinth -> spots", that occurs as a parameter representing precipitation…

Pattern Formation and Solitons · Physics 2014-10-10 Karna Gowda , Hermann Riecke , Mary Silber

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…

Populations and Evolution · Quantitative Biology 2014-07-24 Ricardo Martinez-Garcia , Justin M. Calabrese , Emilio Hernandez-Garcia , Cristobal Lopez

The role of species interactions in controlling the interplay between the stability of an ecosystem and its biodiversity is still not well understood. The ability of ecological communities to recover after a small perturbation of the…

Populations and Evolution · Quantitative Biology 2016-06-15 Jacopo Grilli , Matteo Adorisio , Samir Suweis , György Barabás , Jayanth R. Banavar , Stefano Allesina , Amos Maritan

Random non-reciprocal interactions between a large number of conserved densities are shown to enhance the stability of the system towards pattern formation. The enhanced stability is an exact result when the number of species approaches…

Soft Condensed Matter · Physics 2025-10-08 Laya Parkavousi , Navdeep Rana , Ramin Golestanian , Suropriya Saha

How large ecosystems can create and maintain the remarkable biodiversity we see in nature is probably one of the biggest open questions in science, attracting attention from different fields, from Theoretical Ecology to Mathematics and…

Populations and Evolution · Quantitative Biology 2023-01-03 Violeta Calleja-Solanas , Nagi Khalil , Jesús Gómez-Gardeñes , Emilio Hernández-García , Sandro Meloni

Fire is an indissoluble component of ecosystems, however quantifying the effects of fire on vegetation is challenging task as fire lies outside the typical experimental design attributes. A recent simulation study showed that under…

Populations and Evolution · Quantitative Biology 2014-12-16 Aristides Moustakas

Spatial self-organization emerges in distributed systems exhibiting local interactions when nonlinearities and the appropriate propagation of signals are at work. These kinds of phenomena can be modeled with different frameworks, typically…

Cell Behavior · Quantitative Biology 2016-11-23 Adriano Bonforti , Salva Duran-Nebreda , Raul Montañez , Ricard Solé

Complex systems with nonreciprocal interactions are often stratified into layers. Ecosystems are a prime example, where species at one trophic level grow by consuming those at another. Yet the dynamical consequences of such stratified…

Populations and Evolution · Quantitative Biology 2026-01-21 Rukmani Ramachandran , Akshit Goyal

Phenotypic plasticity and its evolution may help evolutionary rescue in a novel and stressful environment, especially if environmental novelty reveals cryptic genetic variation that enables the evolution of increased plasticity. However,…

Populations and Evolution · Quantitative Biology 2016-09-23 Jaime Ashander , Luis-Miguel Chevin , Marissa L. Baskett

A central feature of complex systems is the relevance and entanglement of different levels of description. For instance, the dynamics of ecosystems can be alternatively described in terms of large ecological processes and classes of…

Populations and Evolution · Quantitative Biology 2025-10-06 Juan Giral Martínez , Silvia de Monte , Matthieu Barbier

We study pattern formation in a chemotaxis model of bacteria and soil carbon dynamics as an example system where transient dynamics can give rise to pattern formation outside of Turing unstable regimes. We use a detailed analysis of the…

Ecosystems are complex systems, currently experiencing several threats associated with global warming, intensive exploitation, and human-driven habitat degradation. Such threats are pushing ecosystems to the brink of collapse. Because of a…

Populations and Evolution · Quantitative Biology 2017-01-02 Ricard Sole , Raul Montanez , Salva Duran-Nebreda , Daniel R. Amor , Blai Vidiella , Josep Sardanyes

Many realistic systems such as infrastructures are characterized by spatial structure and anisotropic alignment. Here we propose and study a model for dealing with such characteristics by introducing a parameter that controls the strength…

Physics and Society · Physics 2022-06-08 Ouriel Gotesdyner , Bnaya Gross , Dana Vaknin Ben Porath , Shlomo Havlin

The savanna biome is characterised by a continuous vegetation cover, comprised of herbaceous and woody plants. The coexistence of species in arid savannas, where water availability is the main limiting resource for plant growth, provides an…

Populations and Evolution · Quantitative Biology 2019-11-26 Lukas Eigentler , Jonathan A Sherratt

When can complex ecological interactions drive an entire ecosystem into a persistent non-equilibrium state, where species abundances keep fluctuating without going to extinction? We show that high-diversity spatially-extended systems, in…

Populations and Evolution · Quantitative Biology 2019-08-27 Felix Roy , Matthieu Barbier , Giulio Biroli , Guy Bunin

Self-arrangement of individuals into spatial patterns often accompanies and promotes species diversity in ecological systems. Here, we investigate pattern formation arising from cyclic dominance of three species, operating near a…

Populations and Evolution · Quantitative Biology 2008-08-31 Tobias Reichenbach , Erwin Frey