Evasion of tipping in complex systems through spatial pattern formation

Risk of tipping the overturning circulation due to increasing rates of ice melt

(2021) Johannes Lohmann et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Overshooting tipping point thresholds in a changing climate

(2021) Paul D. L. Ritchie et al.   NATURE

The effect of climate change on the resilience of ecosystems with adaptive spatial pattern formation

(2020) Robbin Bastiaansen et al.   ECOLOGY LETTERS

Woody plant encroachment intensifies under climate change across tundra and savanna biomes

(2020) Mariana García Criado et al.   GLOBAL ECOLOGY AND BIOGEOGRAPHY

The uncertain future of the Antarctic Ice Sheet

(2020) Frank Pattyn et al.   SCIENCE

The role of spatial self-organization in the design of agroforestry systems

(2020) Omer Tzuk et al.   PLoS One

The hysteresis of the Antarctic Ice Sheet

(2020) Julius Garbe et al.   NATURE

Thresholds for ecological responses to global change do not emerge from empirical data

(2020) Helmut Hillebrand et al.   Nature Ecology & Evolution

A distinct ecotonal tree community exists at central African forest–savanna transitions

(2020) Anabelle W. Cardoso et al.   JOURNAL OF ECOLOGY

Grazing Away the Resilience of Patterned Ecosystems

(2019) Eric Siero et al.   AMERICAN NATURALIST

30 m Resolution Global Annual Burned Area Mapping Based on Landsat Images and Google Earth Engine

(2019) Tengfei Long et al.   Remote Sensing

Front Instabilities Can Reverse Desertification

(2019) Cristian Fernandez-Oto et al.   PHYSICAL REVIEW LETTERS

Metastability as a Coexistence Mechanism in a Model for Dryland Vegetation Patterns

(2019) Lukas Eigentler et al.   BULLETIN OF MATHEMATICAL BIOLOGY

Spatial patterning among savanna trees in high-resolution, spatially extensive data

(2019) A. Carla Staver et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Basin bifurcations, oscillatory instability and rate-induced thresholds for Atlantic meridional overturning circulation in a global oceanic box model

(2019) Hassan Alkhayuon et al.   PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Spatial feedbacks and the dynamics of savanna and forest

(2019) Qianxiao Li et al.   Theoretical Ecology

Stable planar vegetation stripe patterns on sloped terrain in dryland ecosystems

(2019) Robbin Bastiaansen et al.   NONLINEARITY

Tropical tree cover in a heterogeneous environment: A reaction-diffusion model

(2019) Bert Wuyts et al.   PLoS One

Spatial Imaging and Screening for Regime Shifts

(2019) Daniel R. Uden et al.   Frontiers in Ecology and Evolution

Spatial self-organisation enables species coexistence in a model for savanna ecosystems

(2019) L. Eigentler et al.   JOURNAL OF THEORETICAL BIOLOGY

From woody cover to woody canopies: How Sentinel-1 and Sentinel-2 data advance the mapping of woody plants in savannas

(2019) Wenmin Zhang et al.   REMOTE SENSING OF ENVIRONMENT

Regime shifts by front dynamics

(2018) Yuval R. Zelnik et al.   ECOLOGICAL INDICATORS

Not only trees: Grasses determine African tropical biome distributions via water limitation and fire

(2018) Donatella D'Onofrio et al.   GLOBAL ECOLOGY AND BIOGEOGRAPHY

Spatial patterns in the global distributions of savanna and forest

(2018) Julie C. Aleman et al.   GLOBAL ECOLOGY AND BIOGEOGRAPHY

Steal the light: shade vs fire adapted vegetation in forest-savanna mosaics

(2018) Tristan Charles-Dominique et al.   NEW PHYTOLOGIST

Pulse dynamics in reaction–diffusion equations with strong spatially localized impurities

(2018) Arjen Doelman et al.   PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Author Correction: Amazonian forest-savanna bistability and human impact

(2018) Bert Wuyts et al.   Nature Communications

Trajectories of the Earth System in the Anthropocene

(2018) Will Steffen et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

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

(2018) Robbin Bastiaansen et al.   PHYSICA D-NONLINEAR PHENOMENA

Multistability of model and real dryland ecosystems through spatial self-organization

(2018) Robbin Bastiaansen et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Alternative stable states and spatial indicators of critical slowing down along a spatial gradient in a savanna ecosystem

(2017) Stephanie Eby et al.   GLOBAL ECOLOGY AND BIOGEOGRAPHY

Prediction and scale in savanna ecosystems

(2017) A. Carla Staver   NEW PHYTOLOGIST

Fairy circle landscapes under the sea

(2017) Daniel Ruiz-Reynés et al.   Science Advances

Spatially explicit modelling of tree–grass interactions in fire-prone savannas: A partial differential equations framework

(2017) V. Yatat et al.   Ecological Complexity

Bistability, Spatial Interaction, and the Distribution of Tropical Forests and Savannas

(2016) Arie Staal et al.   ECOSYSTEMS

An impulsive modelling framework of fire occurrence in a size-structured model of tree–grass interactions for savanna ecosystems

(2016) V. Yatat et al.   JOURNAL OF MATHEMATICAL BIOLOGY

Phase separation driven by density-dependent movement: A novel mechanism for ecological patterns

(2016) Quan-Xing Liu et al.   Physics of Life Reviews

Disturbance maintains alternative biome states

(2015) Vinícius de L. Dantas et al.   ECOLOGY LETTERS

Self-organized pattern formation in coastal barrier washover deposits

(2015) Eli D. Lazarus et al.   GEOLOGY

Catalogue of abrupt shifts in Intergovernmental Panel on Climate Change climate models

(2015) Sybren Drijfhout et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Motility-Induced Phase Separation

(2015) Michael E. Cates et al.   Annual Review of Condensed Matter Physics

Climate change will increase savannas at the expense of forests and treeless vegetation in tropical and subtropical Americas

(2015) José D. Anadón et al.   JOURNAL OF ECOLOGY

Global instability in the Ghil–Sellers model

(2014) Tamás Bódai et al.   CLIMATE DYNAMICS

Beyond Turing: The response of patterned ecosystems to environmental change

(2014) Koen Siteur et al.   Ecological Complexity

Bifurcations to travelling planar spots in a three-component FitzHugh–Nagumo system

(2014) Peter van Heijster et al.   PHYSICA D-NONLINEAR PHENOMENA

Transitions between patterned states in vegetation models for semiarid ecosystems

(2014) Karna Gowda et al.   PHYSICAL REVIEW E

Pattern formation at multiple spatial scales drives the resilience of mussel bed ecosystems

(2014) Quan-Xing Liu et al.   Nature Communications

Barrier island bistability induced by biophysical interactions

(2014) Orencio Durán Vinent et al.   Nature Climate Change

Tipping points in tropical tree cover: linking theory to data

(2013) Egbert H. van Nes et al.   GLOBAL CHANGE BIOLOGY

Spatial patterns in mesic savannas: The local facilitation limit and the role of demographic stochasticity

(2013) Ricardo Martínez-García et al.   JOURNAL OF THEORETICAL BIOLOGY

Phase separation explains a new class of self-organized spatial patterns in ecological systems

(2013) Q.-X. Liu et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Integrating Theoretical Climate and Fire Effects on Savanna and Forest Systems

(2012) A. Carla Staver et al.   AMERICAN NATURALIST

Emerged or imposed: a theory on the role of physical templates and self-organisation for vegetation patchiness

(2012) Efrat Sheffer et al.   ECOLOGY LETTERS

Rise and Fall of Periodic Patterns for a Generalized Klausmeier–Gray–Scott Model

(2012) Sjors van der Stelt et al.   JOURNAL OF NONLINEAR SCIENCE

Approaching a state shift in Earth’s biosphere

(2012) Anthony D. Barnosky et al.   NATURE

Herbivore-vegetation feedbacks can expand the range of savanna persistence: insights from a simple theoretical model

(2012) Ricardo M. Holdo et al.   OIKOS

Tipping points in open systems: bifurcation, noise-induced and rate-dependent examples in the climate system

(2012) P. Ashwin et al.   PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Anticipating Critical Transitions

(2012) M. Scheffer et al.   SCIENCE

Complexity and coexistence in a simple spatial model for arid savanna ecosystems

(2012) Mara Baudena et al.   Theoretical Ecology

Gradual regime shifts in spatially extended ecosystems

(2012) Golan Bel et al.   Theoretical Ecology

Mussel Bed Boundaries as Dynamic Equilibria: Thresholds, Phase Shifts, and Alternative States

(2011) Megan J. Donahue et al.   AMERICAN NATURALIST

Numerical continuation methods for studying periodic travelling wave (wavetrain) solutions of partial differential equations

(2011) Jonathan A. Sherratt   APPLIED MATHEMATICS AND COMPUTATION

Savanna domain in the herbivores-fire parameter space exploiting a tree–grass–soil water dynamic model

(2011) C. De Michele et al.   JOURNAL OF THEORETICAL BIOLOGY

Built for stability

(2011) Paul Valdes   Nature Geoscience

Global Resilience of Tropical Forest and Savanna to Critical Transitions

(2011) M. Hirota et al.   SCIENCE

The Global Extent and Determinants of Savanna and Forest as Alternative Biome States

(2011) A. C. Staver et al.   SCIENCE

Spatial self-organized patterning in seagrasses along a depth gradient of an intertidal ecosystem

(2010) Tjisse van der Heide et al.   ECOLOGY

Tree–grass co-existence in savanna: Interactions of rain and fire

(2010) Francesco Accatino et al.   JOURNAL OF THEORETICAL BIOLOGY

An idealized model for tree–grass coexistence in savannas: the role of life stage structure and fire disturbances

(2009) Mara Baudena et al.   JOURNAL OF ECOLOGY

A safe operating space for humanity

(2009) Johan Rockström et al.   NATURE

Early-warning signals for critical transitions

(2009) Marten Scheffer et al.   NATURE

Nonlinear dynamic and pattern bifurcations in a model for spatial patterns in young mussel beds

(2008) R.-H. Wang et al.   Journal of the Royal Society Interface

Tipping elements in the Earth's climate system

(2008) T. M. Lenton et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Regular pattern formation in real ecosystems

(2008) Max Rietkerk et al.   TRENDS IN ECOLOGY & EVOLUTION