Patterned vegetation, tipping points, and the rate of climate change

No abstract is available for this paper.

• Publication year

  2015

• Venue

  European journal of applied mathematics

• Publication date

  2015-06-23

• Fields of study

  Environmental Science

• Identifiers
  DOI 10.1017/S0956792515000261
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• Mathematical Modeling of Plant Root Hair Initiation: Dynamics of Localized Patches

  2014cited by this paper
• Synchronization of North Pacific and Greenland climates preceded abrupt deglacial warming

  2014cited by this paper
• Slowly varying control parameters, delayed bifurcations, and the stability of spikes in reaction-diffusion systems

  2014cited by this paper
• Beyond Turing: The response of patterned ecosystems to environmental change

  2014influential reference
• Early-warning signs for pattern-formation in stochastic partial differential equations

  2014cited by this paper
• Abrupt Shifts in Horn of Africa Hydroclimate Since the Last Glacial Maximum

  2013cited by this paper
• History-dependent patterns of whole ecosystems

  2013cited by this paper
• Turn Down the Heat : Climate Extremes, Regional Impacts, and the Case for Resilience

  2013cited by this paper
• Turn down the heat : climate extremes, regional impacts, and the case for resilience - full report

  2013cited by this paper
• Rise and Fall of Periodic Patterns for a Generalized Klausmeier–Gray–Scott Model

  2013cited by this paper
• Managing the risks of extreme events and disasters to advance climate change adaptation. Special report of the Intergovernmental Panel on Climate Change.

  2012cited by this paper
• Managing the risks of extreme events and disasters to advance climate change adaptation. Special report of the Intergovernmental Panel on Climate Change.

  2012cited by this paper
• Triviality of the 2D stochastic Allen-Cahn equation

  2012cited by this paper
• Hydrologic variability in dryland regions: impacts on ecosystem dynamics and food security

  2012cited by this paper
• A mathematical framework for critical transitions: Bifurcations, fast–slow systems and stochastic dynamics

  2011cited by this paper
• Early Warnings of Regime Shifts: A Whole-Ecosystem Experiment

  2011cited by this paper
• Changes in precipitation with climate change

  2011cited by this paper
• A Quasi-Sure Approach to the Control of Non-Markovian Stochastic Differential Equations

  2011cited by this paper
• Tipping points in open systems: bifurcation, noise-induced and rate-dependent examples in the climate system

  2011cited by this paper
• On the well-posedness of the stochastic Allen-Cahn equation in two dimensions

  2011cited by this paper
• Rainfall Variability and Its Impact on Normalized Difference Vegetation Index in Arid and Semi-Arid Lands of Kenya

  2011cited by this paper
• Climate tipping as a noisy bifurcation: a predictive technique

  2010cited by this paper
• Patterned vegetation and rainfall intermittency.

  2009cited by this paper
• Early-warning signals for critical transitions

  2009cited by this paper
• Oceanic acidification affects marine carbon pump and triggers extended marine oxygen holes

  2009cited by this paper
• Changing skewness: an early warning signal of regime shifts in ecosystems.

  2008cited by this paper
• Tipping elements in the Earth's climate system

  2008cited by this paper
• Slowing down as an early warning signal for abrupt climate change

  2008cited by this paper
• On stochastic perturbation and long-term climate behaviour

  2007cited by this paper
• Localized structures in dryland vegetation: forms and functions.

  2007cited by this paper
• Coral Reefs Under Rapid Climate Change and Ocean Acidification

  2007cited by this paper
• Spatial vegetation patterns and imminent desertification in Mediterranean arid ecosystems

  2007cited by this paper
• A changing climate is eroding the geographical range of the Namib Desert tree Aloe through population declines and dispersal lags

  2007cited by this paper
• Nonlinear dynamics and pattern bifurcations in a model for vegetation stripes in semi-arid environments.

  2007cited by this paper
• Avoiding dangerous climate change

  2006cited by this paper
• Reviewing the Impact of Increased Atmospheric CO2 on Oceanic pH and the Marine Ecosystem

  2006cited by this paper
• Abrupt Change in Earth's Climate System

  2006cited by this paper
• Effects of spatially structured vegetation patterns on hillslope erosion in a semiarid Mediterranean environment: a simulation study

  2005cited by this paper
• The Existence and Stability of Spike Equilibria in the One‐Dimensional Gray–Scott Model: The Low Feed‐Rate Regime

  2005cited by this paper
• Noise-induced stability in dryland plant ecosystems.

  2005cited by this paper
• Vegetation patterns along a rainfall gradient

  2004cited by this paper
• A Global Dataset of Palmer Drought Severity Index for 1870–2002: Relationship with Soil Moisture and Effects of Surface Warming

  2004cited by this paper
• Effects of noise in excitable systems

  2004cited by this paper
• Self-Organized Patchiness and Catastrophic Shifts in Ecosystems

  2004cited by this paper
• Climate Change, Human Impacts, and the Resilience of Coral Reefs

  2003cited by this paper
• Climate change and habitat destruction: a deadly anthropogenic cocktail

  2003cited by this paper
• Asymptotic analysis of noise sensitivity in a neuronal burster

  2002cited by this paper
• Localized vegetation patches: a self-organized response to resource scarcity.

  2002cited by this paper
• Catastrophic shifts in ecosystems

  2001cited by this paper
• Diversity of vegetation patterns and desertification.

  2001cited by this paper
• Atmospheric carbon dioxide concentrations over the past 60 million years

  2000cited by this paper
• Pathwise description of dynamic pitchfork bifurcations with additive noise

  2000influential reference
• Stochastic perturbations of the Allen{Cahn equation

  2000cited by this paper
• Probability Densities for Noisy Delay Bifurcations

  1999influential reference
• Regular and irregular patterns in semiarid vegetation

  1999cited by this paper
• Advanced mathematical methods for scientists and engineers I: asymptotic methods and perturbation theory.

  1999cited by this paper
• Climate and atmospheric history of the past 420,000 years from the Vostok ice core, Antarctica

  1999cited by this paper
• Stochastic Calculus: Application to Dynamic Bifurcations and Threshold Crossings

  1997influential reference
• AUTO 2000 : CONTINUATION AND BIFURCATION SOFTWARE FOR ORDINARY DIFFERENTIAL EQUATIONS (with HomCont)

  1997cited by this paper
• Introduction to Perturbation Methods

  1995cited by this paper
• Influence of noise on delayed bifurcations.

  1989cited by this paper
• The slow passage through a Hopf bifurcation: delay, memory effects, and resonance

  1989cited by this paper
• Influence of random fluctuations on delayed bifurcations: The case of additive white noise.

  1989cited by this paper
• Stochastic-dynamics characterization of delayed laser threshold instability with swept control parameter.

  1988cited by this paper
• The slow passage through a steady bifurcation: Delay and memory effects

  1987cited by this paper
• An ocean model for climate variability studies

  1982cited by this paper
• Advanced Mathematical Methods For Scientists And Engineers

  1979cited by this paper
• Thresholds and breakpoints in ecosystems with a multiplicity of stable states

  1977cited by this paper

• Geometric blow-up of a dynamic Turing instability in the Swift-Hohenberg equation

  2025cites this paper
• The evasion of tipping: Pattern formation near a Turing-fold bifurcation

  2025cites this paper
• Rate-induced transitions and noise-driven resilience in vegetation pattern dynamics

  2025cites this paper
• Stripe patterns for Gierer–Meinhard model in spatially varying thin domains

  2025cites this paper
• When and why ecological systems respond to the rate rather than the magnitude of environmental changes

  2024cites this paper
• Nonreciprocal feedback induces migrating oblique and horizontal banded vegetation patterns in hyperarid landscapes

  2024cites this paper
• Non-linear and non-local plant–plant interactions in arid climate: Allometry, criticality and desertification

  2024cites this paper
• Resource-Mediated Competition Between Two Plant Species with Different Rates of Water Intake

  2023cites this paper
• Intermittent Precipitation-Dependent Interactions, Encompassing Allee Effect, May Yield Vegetation Patterns in a Transitional Parameter Range

  2023cites this paper
• Pattern formation in marsh ecosystems modeled through the interaction of marsh vegetation, mussels and sediment.

  2022cites this paper
• Bastiaansen, Robbin; Doelman, Arjen The dynamics of disappearing pulses in a singularly perturbed reaction-diffusion system

  2022cites this paper
• Rate-Induced Tipping in Heterogeneous Reaction-Diffusion Systems: An Invariant Manifold Framework and Geographically Shifting Ecosystems

  2022cites this paper
• Dynamics of patchy vegetation patterns in the two-dimensional generalized Klausmeier model

  2022cites this paper
• Second Impact Syndrome: The Influence of Climate Change and Increased Disaster Frequency on Livelihoods and Adaptive Capacity in Rural Haiti

  2022cites this paper
• Rethinking the definition of rate-induced tipping.

  2021cites this paper
• Interspecific Sample Prioritization Can Improve QTL Detection With Tree-Based Predictive Models

  2021cites this paper
• Quantitatively monitoring the resilience of patterned vegetation in the Sahel

  2021cites this paper
• Rate-induced tipping: thresholds, edge states and connecting orbits

  2021cites this paper
• The existence of localized vegetation patterns in a systematically reduced model for dryland vegetation

  2020cites this paper
• Spike Dynamics in the Presence of Noise

  2020cites this paper
• Spike Dynamics in the Presence of Noise\ast

  2020cites this paper
• Local Theory for Spatio-Temporal Canards and Delayed Bifurcations

  2019cites this paper
• Model of pattern formation in marsh ecosystems with nonlocal interactions

  2019cites this paper
• Assessing historical and future habitat models for four conservation‐priority Mojave Desert species

  2019cites this paper
• Multistability in Ecosystems: Concerns and Opportunities for Ecosystem Function in Variable Environments

  2019cites this paper
• Scaling laws and warning signs for bifurcations of SPDEs

  2018cites this paper
• Banded vegetation in some Australian semi-arid landscapes: 20 years of field observations to support the development and evaluation of numerical models of vegetation pattern evolution

  2018influential citation
• The dynamics of disappearing pulses in a singularly perturbed reaction–diffusion system with parameters that vary in time and space

  2018cites this paper
• Pattern Formation in a Reaction-Diffusion System with Space-Dependent Feed Rate

  2018cites this paper
• Experiments and modelling of rate-dependent transition delay in a stochastic subcritical bifurcation

  2018cites this paper
• Moving and jumping spot in a two-dimensional reaction–diffusion model

  2017cites this paper
• Slow Passage Through a Hopf Bifurcation in Excitable Nerve Cables: Spatial Delays and Spatial Memory Effects

  2017cites this paper
• Detecting transient rate-tipping using Steklov averages and Lyapunov vectors

  2017cites this paper
• Ecosystems off track: rate‐induced critical transitions in ecological models

  2016cites this paper
• Uncertainty transformation via Hopf bifurcation in fast–slow systems

  2015cites this paper
• Delayed bifurcation onset of Turing instability and the effect of noise

  2015influential citation
• Stripe patterns for Gierer-Meinhard model in thin domains

  year unknowncites this paper