Vegetation Patterns: Structures and Dynamics

Vegetation patterns are a hallmark of ecosystem self-organization, emerging from the intrinsic dynamics of nonlinear feedback mechanisms and spatiotemporal interactions. This review systematically explores and examines the structural characteristics of these patterns, the phenomena of multistability, and their implications for ecosystem stability through the lens of mathematical modeling and dynamical systems theory. In particular, reaction-diffusion models serve as a key analytical tool, revealing how local positive feedback and non-local negative feedback drive selforganized spatial structures via Turing bifurcation. Bifurcation theory and potential landscape analysis further elucidate ecosystem multistability, quantifying critical transitions among uniform vegetation, patterned states, and bare soil under environmental conditions. Advances in spatial metrics, including traditional statistical measures (e.g. variance, autocorrelation) and emerging complexity-based indicators (e.g. hyperuniformity, spatial permutation entropy) provide robust methods for detecting ecological functional shifts and early-warning signs of regime shifts. Additionally, restoration strategies grounded in structural optimization, such as optimal control theory, offer a theoretical framework for vegetation pattern reconstruction and stability regulation, particularly in arid and semi-arid regions. Future research should integrate multiscale modeling and interdisciplinary approaches to deepen our understanding of vegetation structure-function relationships. Such efforts will yield both theoretical insights and practical solutions for mitigating global ecological degradation and climate change.

• Publication year

  2025

• Venue

  CSIAM Transactions on Life Sciences

• Publication date

  2025-11-17

• Fields of study

  Not labeled

• Identifiers
  DOI 10.4208/csiam-ls.so-2025-0024
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• Vegetation dynamics: Modeling, mechanisms, and emergent properties

  2025cited by this paper
• Multistability shifts in an aird vegetation system with nonlocal water absorption effect

  2025cited by this paper
• Vegetation pattern formation and community assembly under drying climate trends.

  2025cited by this paper
• Optimal control of spatial diseases spreading in networked reaction–diffusion systems

  2025cited by this paper
• Chimera states with multiple coexisting solutions

  2025cited by this paper
• Modeling Climate‐Driven Vegetation Changes Under Contrasting Temperate and Arid Conditions in the Mediterranean Basin

  2025cited by this paper
• Predictability of abrupt shifts in dryland ecosystem functioning

  2025cited by this paper
• Early warning signals of critical transitions in ecosystems: entropy reduction in vegetation spatial patterns

  2025cited by this paper
• Causes and consequences of disordered hyperuniformity in global drylands

  2025cited by this paper
• Extreme precipitation events trigger abrupt vegetation succession in emerging coastal wetlands

  2024cited by this paper
• Impact of Climate Change on Vegetation Patterns in Altay Prefecture, China.

  2024cited by this paper
• Effects of climate change on vegetation pattern in Baotou, China

  2024cited by this paper
• Critical transitions in the Amazon forest system

  2024cited by this paper
• Self-organization as a mechanism of resilience in dryland ecosystems

  2024cited by this paper
• The interplay of facilitation and competition drives the emergence of multistability in dryland plant communities

  2024cited by this paper
• Resilience Indicators for Tropical Rainforests in a Dynamic Vegetation Model

  2024cited by this paper
• Vegetation restoration strategies in arid or semi-arid regions-From the perspective of optimal control.

  2024cited by this paper
• Pattern dynamics of vegetation based on optimal control theory

  2024cited by this paper
• Early Predictor for the Onset of Critical Transitions in Networked Dynamical Systems

  2024cited by this paper
• Analysis of global vegetation resilience under different future climate scenarios

  2024cited by this paper
• The hidden order of Turing patterns in arid and semi‐arid vegetation ecosystems

  2023influential reference
• Global vegetation resilience linked to water availability and variability

  2023cited by this paper
• Precipitation governing vegetation patterns in an arid or semi-arid environment

  2023cited by this paper
• Time delays modulate the stability of complex ecosystems

  2023cited by this paper
• An early warning signal for grassland degradation on the Qinghai-Tibetan Plateau

  2023cited by this paper
• The effect of grazing intensity on pattern dynamics of the vegetation system

  2023cited by this paper
• Bifurcation analysis of a spatial vegetation model

  2022cited by this paper
• Entropy-based early detection of critical transitions in spatial vegetation fields

  2022cited by this paper
• Two types of fairy circles coexist in a vegetation–water model

  2022cited by this paper
• Long-range seed dispersal enables almost stationary patterns in a model for dryland vegetation

  2022cited by this paper
• Bifurcation and Pattern Formation in an Activator–Inhibitor Model with Non-local Dispersal

  2022cited by this paper
• Impacts of climate change on vegetation pattern: Mathematical modeling and data analysis.

  2022cited by this paper
• Prevalence and drivers of abrupt vegetation shifts in global drylands

  2022cited by this paper
• Spatial dynamics of a vegetation model with uptake–diffusion feedback in an arid environment

  2022cited by this paper
• Emerging signals of declining forest resilience under climate change

  2022cited by this paper
• Dynamic analysis of a plant-water model with spatial diffusion

  2022cited by this paper
• Empirical evidence for recent global shifts in vegetation resilience

  2022cited by this paper
• Effects of climate change on vegetation patterns in Hulun Buir Grassland

  2022cited by this paper
• Plant-Soil Feedbacks and Temporal Dynamics of Plant Diversity-Productivity Relationships.

  2021cited by this paper
• Evolution of NDVI secular trends and responses to climate change: A perspective from nonlinearity and nonstationarity characteristics

  2021cited by this paper
• Critical slowing down suggests that the western Greenland Ice Sheet is close to a tipping point

  2021cited by this paper
• Mathematical modeling and mechanisms of pattern formation in ecological systems: a review

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

  2021cited by this paper
• Evasion of tipping in complex systems through spatial pattern formation

  2021cited by this paper
• Effects of global warming on pattern dynamics of vegetation: Wuwei in China as a case

  2021cited by this paper
• Deep learning for early warning signals of tipping points

  2021cited by this paper
• Belowground feedbacks as drivers of spatial self-organization and community assembly.

  2021cited by this paper
• Modeling vegetation greenness and its climate sensitivity with deep‐learning technology

  2021cited by this paper
• Interactions of time delay and spatial diffusion induce the periodic oscillation of the vegetation system

  2021cited by this paper
• Interactions of diffusion and nonlocal delay give rise to vegetation patterns in semi-arid environments

  2021cited by this paper
• Vegetation Detection Using Deep Learning and Conventional Methods

  2020cited by this paper
• The influence of herbaceous vegetation on slope stability – A review

  2020cited by this paper
• High-integrity human intervention in ecosystems: Tracking self-organization modes

  2020cited by this paper
• Delay-driven spatial patterns in a network-organized semiarid vegetation model

  2020cited by this paper
• The effect of climate change on the resilience of ecosystems with adaptive spatial pattern formation

  2020cited by this paper
• Higher resilience to climatic disturbances in tropical vegetation exposed to more variable rainfall

  2019cited by this paper
• Long-distance seed dispersal affects the resilience of banded vegetation patterns in semi-deserts.

  2019cited by this paper
• The shaping role of self-organization: linking vegetation patterning, plant traits and ecosystem functioning

  2019cited by this paper
• Self-Organization in Pattern Formation.

  2019cited by this paper
• Vegetation pattern formation: The mechanisms behind the forms

  2019cited by this paper
• Effects of feedback regulation on vegetation patterns in semi-arid environments

  2018cited by this paper
• Implications of tristability in pattern-forming ecosystems.

  2018cited by this paper
• Multistability and tipping: From mathematics and physics to climate and brain-Minireview and preface to the focus issue.

  2018cited by this paper
• Analysis of a model for banded vegetation patterns in semi-arid environments with nonlocal dispersal

  2018cited by this paper
• On a nonlocal system for vegetation in drylands

  2018cited by this paper
• Multistability of model and real dryland ecosystems through spatial self-organization

  2018cited by this paper
• Hyperuniform states of matter

  2018cited by this paper
• Light-mediated self-organization of sunflower stands increases oil yield in the field

  2017cited by this paper
• Vegetation dynamics and responses to climate change and human activities in Central Asia.

  2017cited by this paper
• Vegetation recovery in tidal marshes reveals critical slowing down under increased inundation

  2017cited by this paper
• Behavioral self-organization underlies the resilience of a coastal ecosystem

  2017cited by this paper
• Plant spatial patterns identify alternative ecosystem multifunctionality states in global drylands

  2017cited by this paper
• Pattern formation--A missing link in the study of ecosystem response to environmental changes.

  2016cited by this paper
• Discovery of fairy circles in Australia supports self-organization theory

  2016cited by this paper
• Time‐lag effects of global vegetation responses to climate change

  2015cited by this paper
• Using wavelength and slope to infer the historical origin of semiarid vegetation bands

  2015cited by this paper
• Reversing desertification as a spatial resonance problem.

  2015cited by this paper
• Gradual regime shifts in fairy circles

  2015cited by this paper
• Striped pattern selection by advective reaction-diffusion systems: resilience of banded vegetation on slopes.

  2015cited by this paper
• Linking plant and ecosystem functional biogeography

  2014cited by this paper
• Plant–soil feedbacks: the past, the present and future challenges

  2013cited by this paper
• Vegetation pattern formation in semiarid systems without facilitative mechanisms

  2013cited by this paper
• Pattern Solutions of the Klausmeier Model for Banded Vegetation in Semiarid Environments V: The Transition from Patterns to Desert

  2013cited by this paper
• Pattern Solutions of the Klausmeier Model for Banded Vegetation in Semiarid Environments IV: Slowly Moving Patterns and Their Stability

  2013cited by this paper
• Regime shifts in models of dryland vegetation.

  2013cited by this paper
• Complexity and coexistence in a simple spatial model for arid savanna ecosystems

  2013cited by this paper
• Pattern-formation approach to modelling spatially extended ecosystems

  2012cited by this paper
• Spatial periodic forcing can displace patterns it is intended to control.

  2012cited by this paper
• Spatial patterns in mesic savannas: the local facilitation limit and the role of demographic stochasticity.

  2012cited by this paper
• Atmospheric CO2 forces abrupt vegetation shifts locally, but not globally

  2012cited by this paper
• Anticipating Critical Transitions

  2012cited by this paper
• Changes in diatom patch-size distribution and degradation in a spatially self-organized intertidal mudflat ecosystem.

  2012cited by this paper
• Slowing Down in Spatially Patterned Ecosystems at the Brink of Collapse

  2011cited by this paper
• Environmental modulation of self‐organized periodic vegetation patterns in Sudan

  2011cited by this paper
• A Mathematical Framework for Critical Transitions: Normal Forms, Variance and Applications

  2011cited by this paper
• Global Resilience of Tropical Forest and Savanna to Critical Transitions

  2011cited by this paper
• Spatial vegetation patterns as early signs of desertification: a case study of a desert steppe in Inner Mongolia, China

  2010cited by this paper
• Spatial correlation as leading indicator of catastrophic shifts

  2010cited by this paper
• Global patterns in the vulnerability of ecosystems to vegetation shifts due to climate change.

  2010cited by this paper
• Pattern solutions of the Klausmeier Model for banded vegetation in semi-arid environments I

  2010cited by this paper

• Precise Determination of the Long-Time Asymptotics of the Diffusion Spreadability of Two-Phase Media

  2026cites this paper