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Related papers: Rethinking tipping points in spatial ecosystems

200 papers

State-space systems encompass a broad class of algorithms used for modeling and forecasting time series. For such systems to be effective, two objectives must be met: (i) accurate point forecasts of the time series must be produced, and…

Chaotic Dynamics · Physics 2026-05-12 James Murray Louw , Juan-Pablo Ortega

The response of dynamical systems to varying conditions and disturbances is a fundamental aspect of their analysis. In spatially extended systems, particularly in pattern-forming systems, there are many possible responses, including…

Pattern Formation and Solitons · Physics 2017-03-02 Yuval R. Zelnik , Ehud Meron , Golan Bel

In many drylands around the globe, vegetation self-organizes into regular spatial patterns in response to aridity stress. We consider the regularly-spaced vegetation bands, on gentle hill-slopes, that survive low rainfall conditions by…

Pattern Formation and Solitons · Physics 2025-05-07 Punit Gandhi , Matthew Oline , Mary Silber

Dry-land ecosystem has turned into a matter of grave concern, due to growing threat of land degradation and bioproductivity-loss. Self-organized vegetation patterns are a remarkable characteristic of these ecosystems; apart from being…

Populations and Evolution · Quantitative Biology 2022-09-27 Mrinal Kanti Pal , Swarup Poria

Abrupt shifts in ecosystems, brains, markets, and climate are often diagnosed as signs of approaching a tipping point, i.e. a critical bifurcation where stability is lost. Here we reveal a broader and more deceptive mechanism:…

Chaotic Dynamics · Physics 2025-10-06 Virgile Troude , Sandro Claudio Lera , Ke Wu , Didier Sornette

Previous research has demonstrated that specific states of the climate system can lead to enhanced subseasonal predictability (i.e., state-dependent predictability). However, biases in Earth system models can affect the representation of…

Atmospheric and Oceanic Physics · Physics 2024-09-18 Kirsten J. Mayer , Katherine Dagon , Maria J. Molina

We study the behaviour at tipping points close to (smoothed) non-smooth fold bifurcations in one-dimensional oscillatory forced systems. The focus is the Stommel-Box, and related climate models, which are piecewise-smooth continuous…

Dynamical Systems · Mathematics 2023-05-18 Chris Budd , Rachel Kuske

Agent-based models are a natural choice for modeling complex social systems. In such models simple stochastic interaction rules for a large population of individuals can lead to emergent dynamics on the macroscopic scale, for instance a…

Physics and Society · Physics 2023-08-02 Luzie Helfmann , Jobst Heitzig , Péter Koltai , Jürgen Kurths , Christof Schütte

Tipping behavior can occur when an equilibrium of a dynamical system loses stability in response to a slowly varying parameter crossing a bifurcation threshold, or where noise drives a system from one attractor to another, or some…

Chaotic Dynamics · Physics 2026-01-26 Raphael Römer , Peter Ashwin

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

This paper delves into a systematically reduced plant system proposed by Ja\"ibi et al. [Phys. D, 2020] in arid area. They used the method of geometric singular perturbation to study the existence of abundant orbits. Instead, we deliberate…

Pattern Formation and Solitons · Physics 2024-11-13 Yonghui Xia , Jianglong Xiao , Jianshe Yu

Extreme environmental events such as severe storms, drought, heat waves, flash floods, and abrupt species collapse have become more prevalent in the earth-atmosphere dynamic system in recent years. In order to fully understand the…

Methodology · Statistics 2025-08-05 Myungsoo Yoo , Likun Zhang , Christopher K. Wikle , Thomas Opitz

Predicting fitness of biologically-active populations, communities or systems in fluctuating environments is a long-standing challenge. Phenotypic plasticity and bet-hedging strategy, two key evolutionary traits living systems harness to…

Populations and Evolution · Quantitative Biology 2024-10-24 Sumana Bhattacharyya , Uttam Singh , Anupam Sengupta

In this work, we present and analyze a general framework for vegetation dynamics in arid and semi-arid ecosystems in which non-local interactions are purely competitive. The generality of the formulation enables a systematic search for…

Pattern Formation and Solitons · Physics 2026-04-21 Jelle van der Voort , Ricardo Martinez-Garcia , Arjen Doelman

Multistability is a ubiquitous feature in systems of geophysical relevance and provides key challenges for our ability to predict a system's response to perturbations. Near critical transitions small causes can lead to large effects and -…

Atmospheric and Oceanic Physics · Physics 2017-06-28 Valerio Lucarini , Tamas Bodai

Vegetation in semi-arid ecosystems frequently organizes into spatially heterogeneous mosaics that regulate ecosystem functioning, productivity, and resilience. These patterns arise from local biological interactions, including facilitation…

Populations and Evolution · Quantitative Biology 2026-02-06 Àlex Giménez-Romero , Bernard A. Afful , Priscilla E. Greenwood , Manuel A. Matías , Luis F. Gordillo

Human activity is leading to changes in the mean and variability of climatic parameters in most locations around the world. The changing mean has received considerable attention from scientists and climate policy makers. However, recent…

Populations and Evolution · Quantitative Biology 2023-06-16 Hassan Alkhayuon , Jessa Marley , Sebastian Wieczorek , Rebecca C. Tyson

Sudden transitions in the state of a system are often undesirable in natural and human-made systems. Such transitions under fast variation of system parameters are called rate-induced tipping. We experimentally demonstrate rate-induced…

Applied Physics · Physics 2022-09-15 Induja Pavithran , P. R. Midhun , R. I. Sujith

This paper investigates the conditions for the stability and emergence of patterns in a new three-component reaction-diffusion system. The system describes the coexistence and interaction of water reservoirs, vegetation, and bushfire…

Analysis of PDEs · Mathematics 2026-04-14 Serena Dipierro , Enrico Valdinoci

The Alaskan landscape has undergone substantial changes in recent decades, most notably the expansion of shrubs and trees across the Arctic. We developed a dynamic statistical model to quantify the impact of climate change on the structural…

Applications · Statistics 2022-08-17 Xinyi Lu , Mevin B. Hooten , Ann M. Raiho , David K. Swanson , Carl A. Roland , Sarah E. Stehn
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