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The theory of alternative stable states and tipping points has garnered substantial attention in the last several decades. It predicts potential critical transitions from one ecosystem state to a completely different state under increasing…

斑图形成与孤子 · 物理学 2024-09-11 Swarnendu Banerjee , Mara Baudena , Paul Carter , Robbin Bastiaansen , Arjen Doelman , Max Rietkerk

Savannas are dynamical systems where grasses and trees can either dominate or coexist. Fires are known to be central in the functioning of the savanna biome though their characteristics are expected to vary along the rainfall gradients as…

动力系统 · 数学 2019-05-28 A. Tchuinté Tamen , Y. Dumont , S. Bowong , J. J. Tewa , P. Couteron

We introduce the concept of 'dynamical phase coexistence' to provide a simple solution for a long-standing problem in theoretical ecology, the so-called "savanna problem". The challenge is to understand why in savanna ecosystems trees and…

生物物理 · 物理学 2010-03-09 F. Vazquez , C. Lopez , J. M. Calabrese , M. A. Munoz

Fires and rainfall are major mechanisms that regulate woody and grassy biomasses in savanna ecosystems. Conditions of long-lasting coexistence of trees and grasses have been mainly studied using continuous-time modelling of tree-grass…

动力系统 · 数学 2019-05-28 V. Yatat , P. Couteron , J. J. Tewa , S. Bowong , Y. Dumont

This article explores the dynamics of savanna ecosystems with grazing, browsing, and migration effects. Covering over one-eighth of the Earth's land area and supporting about one-fifth of the global population, the savanna is an ecological…

种群与进化 · 定量生物学 2026-01-21 Chiun-Chuan Chen , Ting-Yang Hsiao , Shun-Chieh Wang

Model studies indicate that many climate subsystems, especially ecosystems, may be vulnerable to 'tipping': a 'catastrophic process' in which a system, driven by gradually changing external factors, abruptly transitions (or 'collapses')…

动力系统 · 数学 2025-06-30 Dock Staal , Arjen Doelman

Forest-savanna bistability - the hypothesis that forests and savannas exist as alternative stable states in the tropics - and its implications are key challenges for mathematical modelers and ecologists in the context of ongoing climate…

种群与进化 · 定量生物学 2025-05-05 Kimberly Shen , Simon Levin , Denis D. Patterson

Tree-grass coexistence in savanna ecosystems depends strongly on environmental disturbances out of which crucial is fire. Most modeling attempts in the literature lack stochastic approach to fire occurrences which is essential to reflect…

概率论 · 数学 2018-11-20 Paweł Klimasara , Marta Tyran-Kamińska

In the past decades human activities caused global Earth system changes, e.g., climate change or biodiversity loss. Simultaneously, these associated impacts have increased environmental awareness within societies across the globe, thereby…

物理与社会 · 物理学 2021-05-11 Paul Manuel Müller , Jobst Heitzig , Jürgen Kurths , Kathy Lüdge , Marc Wiedermann

Dryland vegetation can survive water stress by forming spatial patterns but is often subjected to herbivory as an additional stress that puts it at risk of desertification. Understanding the mutual relationships between vegetation…

种群与进化 · 定量生物学 2026-02-17 Joydeep Singha , Hannes Uecker , Ehud Meron

Savannas are characterized by a discontinuous tree layer superimposed on a continuous layer of grass. Identifying the mechanisms that facilitate this tree-grass coexistence has remained a persistent challenge in ecology and is known as the…

种群与进化 · 定量生物学 2014-01-30 Flora S. Bacelar , Justin M. Calabrese , Emílio Hernández-García

We present a modified water-vegetation model to investigate the mechanistic relationship between infiltration-soil moisture feedback and vegetation pattern in arid/semi-arid ecosystems. Employing Turing pattern formation theory, we drive…

动力系统 · 数学 2025-08-05 Juan Yan , Xiaoli Wang , Guohong Zhang , Yuan Yuan

Spatial patterns are widely observed in numerous nonequilibrium natural systems, often undergoing complex transitions and bifurcations, thereby exhibiting significant importance in many physical and biological systems such as embryonic…

生物物理 · 物理学 2024-12-17 Jie Su , Wei Wu , Denis Patterson , Simon Asher Levin , Jin Wang

The savanna biome is characterised by a continuous vegetation cover, comprised of herbaceous and woody plants. The coexistence of species in arid savannas, where water availability is the main limiting resource for plant growth, provides an…

种群与进化 · 定量生物学 2019-11-26 Lukas Eigentler , Jonathan A Sherratt

Earth system tipping elements have been predominantly investigated for their potential to trigger \textit{negative} ecological, climatic, and societal shifts. Yet, an overlooked but seminal avenue exists in the form of \textit{positive}…

Savanna ecosystems are shaped by the frequency and intensity of regular fires. We model savannas via an ordinary differential equation (ODE) encoding a one-sided inhibitory Lotka-Volterra interaction between trees and grass. By applying…

种群与进化 · 定量生物学 2021-09-13 Alanna Hoyer-Leitzel , Sarah Iams

Several theoretical models predict that spatial patterning increases ecosystem resilience. However, these predictions rely on simplifying assumptions, such as assuming isotropic and infinitely large ecosystems, and empirical evidence…

种群与进化 · 定量生物学 2026-04-06 David Pinto-Ramos , Ricardo Martinez-Garcia

Dryland vegetation ecosystems are known to be susceptible to critical transitions between alternative stable states when subjected to external forcing. Such transitions are often discussed through the framework of bifurcation theory, but…

计算物理 · 物理学 2025-05-16 Daniel Dylewsky , Sonia Kéfi , Madhur Anand , Chris T. Bauch

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…

种群与进化 · 定量生物学 2022-09-27 Mrinal Kanti Pal , Swarup Poria

Previous work indicates that tropical forest can exist as an alternative stable state to savanna. Therefore, perturbation by climate change or human impact may lead to crossing of a tipping point beyond which there is rapid forest dieback…

种群与进化 · 定量生物学 2023-09-07 Bert Wuyts , Jan Sieber
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