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相关论文: A model of seasonal savanna dynamics

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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

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

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

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

This thesis focuses on the applications of mathematical tools and concepts brought from nonequilibrium statistical physics to the modeling of ecological problems. The first part provides a short introduction where the theoretical concepts…

种群与进化 · 定量生物学 2017-01-12 Ricardo Martinez-Garcia

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

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

This study investigates the impacts of grazing duration and intensity on vegetation population dynamics in semi-arid ecosystems characterized by seasonal succession. A novel piecewise periodic model is proposed, dividing the annual cycle…

动力系统 · 数学 2026-05-07 Junhong Gan , Guohong Zhang , Xiaoli Wang

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

Forest transitions, characterized by dynamic shifts between forest, agricultural, and abandoned lands, are complex phenomena. This study developed a stochastic differential equation model to capture the intricate dynamics of these…

机器学习 · 统计学 2025-07-30 Satoshi Kumabe , Tianyu Song , Ton Viet Ta

We analyze ecological systems that are influenced by random environmental fluctuations. We first provide general conditions which ensure that the species coexist and the system converges to a unique invariant probability measure (stationary…

种群与进化 · 定量生物学 2021-05-19 Alexandru Hening , Yao Li

We develop a landscape-flux framework to investigate observed frequency distributions of vegetation and the stability of these ecological systems under fluctuations. The frequency distributions can characterize the population-potential…

种群与进化 · 定量生物学 2022-10-12 Li Xu , Denis Patterson , Ann Carla Staver , Simon Asher Levin , Jin Wang

Tree-grass coexistence is a defining feature of savanna ecosystems, which play an important role in supporting biodiversity and human populations worldwide. While recent advances have clarified many of the underlying processes, how these…

种群与进化 · 定量生物学 2026-04-21 Jelle van der Voort , Mara Baudena , Ehud Meron , Max Rietkerk , Arjen Doelman

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

In this paper we study the dynamics of stochastic microorganism flocculation models. Given the strong influence of environmental and seasonal fluctuations that are present in these models, we propose a stochastic model that includes…

概率论 · 数学 2025-11-18 Alexandru Hening , Nguyen T. Hieu , Dang H. Nguyen , Nhu Nguyen

We present and analyze a model aiming at recovering as dynamical outcomes of tree-grass interactions the wide range of vegetation physiognomies observable in the savanna biome along rainfall gradients at regional/continental scales. The…

种群与进化 · 定量生物学 2020-05-13 Ivric Valaire Yatat Djeumen , Yves Dumont , Anna Doizy , P. Couteron

We analyze a spatially extended version of a well-known model of forest-savanna dynamics, which presents as a system of nonlinear partial integro-differential equations, and study necessary conditions for pattern-forming bifurcations.…

斑图形成与孤子 · 物理学 2023-08-28 Denis D. Patterson , Simon A. Levin , A. Carla Staver , Jonathan D. Touboul

The Alaskan landscape has undergone substantial changes in recent decades, most notably the expansion of shrubs and trees across the Arctic. We developed a dynamic statistical model to quantify the impact of climate change on the structural…

应用统计 · 统计学 2022-08-17 Xinyi Lu , Mevin B. Hooten , Ann M. Raiho , David K. Swanson , Carl A. Roland , Sarah E. Stehn

Ecosystems display a complex spatial organization. Ecologists have long tried to characterize them by looking at how different measures of biodiversity change across spatial scales. Ecological neutral theory has provided simple predictions…

种群与进化 · 定量生物学 2017-12-13 Simone Pigolotti , Massimo Cencini , Daniel Molina , Miguel A. Muñoz

We propose a model equation for the dynamics of tree density in mesic savannas. It considers long-range competition among trees and the effect of fire acting as a local facilitation mechanism. Despite short-range facilitation is taken to…

斑图形成与孤子 · 物理学 2014-07-24 Ricardo Martinez-Garcia , Justin M. Calabrese , Cristobal Lopez
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