Gradual regime shifts in spatially extended ecosystems

Slowing Down in Spatially Patterned Ecosystems at the Brink of Collapse

(2011) Vasilis Dakos et al.   AMERICAN NATURALIST

Ostwald ripening in dryland vegetation

(2011) Assaf Y. Kletter et al.   COMMUNICATIONS ON PURE AND APPLIED ANALYSIS

Regime shifts in ecological systems can occur with no warning

(2010) Alan Hastings et al.   ECOLOGY LETTERS

Robust scaling in ecosystems and the meltdown of patch size distributions before extinction

(2010) Sonia Kéfi et al.   ECOLOGY LETTERS

EARLY WARNINGS FOR CATASTROPHIC SHIFTS IN ECOSYSTEMS: COMPARISON BETWEEN SPATIAL AND TEMPORAL INDICATORS

(2010) RAUL DONANGELO et al.   INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

Snaking of radial solutions of the multi-dimensional Swift–Hohenberg equation: A numerical study

(2010) Scott McCalla et al.   PHYSICA D-NONLINEAR PHENOMENA

Periodic versus scale-free patterns in dryland vegetation

(2010) J. von Hardenberg et al.   PROCEEDINGS OF THE ROYAL SOCIETY B-BIOLOGICAL SCIENCES

Spatial and temporal signatures of fragility and threshold proximity in modelled semi-arid vegetation

(2010) R. M. Bailey   PROCEEDINGS OF THE ROYAL SOCIETY B-BIOLOGICAL SCIENCES

To Snake or Not to Snake in the Planar Swift–Hohenberg Equation

(2010) Daniele Avitabile et al.   SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS

Modeling Dryland Landscapes

(2010) E. Meron   Mathematical Modelling of Natural Phenomena

Early warnings of regime shifts in spatial dynamics using the discrete Fourier transform

(2010) S. R. Carpenter et al.   Ecosphere

Early-warning signals for critical transitions

(2009) Marten Scheffer et al.   NATURE

Mathematical models of vegetation pattern formation in ecohydrology

(2009) F. Borgogno et al.   REVIEWS OF GEOPHYSICS

Spatial correlation as leading indicator of catastrophic shifts

(2009) Vasilis Dakos et al.   Theoretical Ecology

Changing skewness: an early warning signal of regime shifts in ecosystems

(2008) Vishwesha Guttal et al.   ECOLOGY LETTERS

Facilitation, competition, and vegetation patchiness: From scale free distribution to patterns

(2008) Alon Manor et al.   JOURNAL OF THEORETICAL BIOLOGY

Critical slowing down as an indicator of transitions in two-species models

(2008) Ryan A. Chisholm et al.   JOURNAL OF THEORETICAL BIOLOGY

Spatially localized structures in dissipative systems: open problems

(2008) E Knobloch   NONLINEARITY

Exponential asymptotics of localised patterns and snaking bifurcation diagrams

(2008) S.J. Chapman et al.   PHYSICA D-NONLINEAR PHENOMENA

Eckhaus instability and homoclinic snaking

(2008) A. Bergeon et al.   PHYSICAL REVIEW E

Slowing down as an early warning signal for abrupt climate change

(2008) V. Dakos et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Localized Pattern Formation with a Large-Scale Mode: Slanted Snaking

(2008) J. H. P. Dawes   SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS

Localized Hexagon Patterns of the Planar Swift–Hohenberg Equation

(2008) David J. B. Lloyd et al.   SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS

Spatial variance and spatial skewness: leading indicators of regime shifts in spatial ecological systems

(2008) Vishwesha Guttal et al.   Theoretical Ecology

Regular pattern formation in real ecosystems

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