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The distributions of species lifetimes and species in space are related, since species with good local survival chances have more time to colonize new habitats and species inhabiting large areas have higher chances to survive local…

种群与进化 · 定量生物学 2019-02-18 Tobias Rogge , David Jones , Barbara Drossel , Korinna T. Allhoff

Understanding historical forest dynamics, specifically changes in forest biomass and carbon stocks, has become critical for assessing current forest climate benefits and projecting future benefits under various policy, regulatory, and…

应用统计 · 统计学 2023-08-29 Lucas K. Johnson , Michael J. Mahoney , Madeleine L. Desrochers , Colin M. Beier

Inferring the processes underlying the emergence of observed patterns is a key challenge in theoretical ecology. Much effort has been made in the past decades to collect extensive and detailed information about the spatial distribution of…

统计力学 · 物理学 2021-01-21 P. Villegas , A. Cavagna , M. Cencini , H. Fort , T. S. Grigera

Coupled natural systems are generally modeled at multiple abstraction levels. Both structural scale and behavioral complexity of these models are determinants in the kinds of questions that can be posed and answered. As scale and complexity…

计算工程、金融与科学 · 计算机科学 2018-07-23 Hessam S. Sarjoughian , William A. Boyd , Miguel F. Acevedo

Ecosystems are governed by dynamic processes such as competition for resources, reproduction and dispersal. These shape their biodiversity and how the system responds to change. Current approaches to modelling ecosystems, especially plants,…

定量方法 · 定量生物学 2023-03-15 Claire L. Harris , Neil Brummitt , Christina A. Cobbold , Richard Reeve

We use the context of dryland vegetation to study a general problem of complex pattern forming systems - multiple pattern-forming instabilities that are driven by distinct mechanisms but share the same spectral properties. We find that the…

斑图形成与孤子 · 物理学 2013-11-05 Shai Kinast , Yuval R. Zelnik , Golan Bel , Ehud Meron

We introduce a simple mathematical model for bushfires accounting for temperature diffusion in the presence of a combustion term which is activated above a given ignition state. The model also takes into consideration the effect of the…

偏微分方程分析 · 数学 2024-05-31 Serena Dipierro , Enrico Valdinoci , Glen Wheeler , Valentina-Mira Wheeler

Earth's forests play an important role in the fight against climate change, and are in turn negatively affected by it. Effective monitoring of different tree species is essential to understanding and improving the health and biodiversity of…

计算机视觉与模式识别 · 计算机科学 2025-07-30 Venkatesh Ramesh , Arthur Ouaknine , David Rolnick

This work explores the relationship between wind speed and time-dependent structural motion response as a means of leveraging the rich information visible in flow-structure interactions for anemometry. We build on recent work by Cardona et…

流体动力学 · 物理学 2021-07-22 Jennifer L. Cardona , John O. Dabiri

The response of dynamical systems to varying conditions and disturbances is a fundamental aspect of their analysis. In spatially extended systems, particularly in pattern-forming systems, there are many possible responses, including…

斑图形成与孤子 · 物理学 2017-03-02 Yuval R. Zelnik , Ehud Meron , Golan Bel

We study the dynamical behaviour of weighted shifts defined on sequence spaces of a directed tree. In particular, we characterize their boundedness as well as when they are hypercyclic, weakly mixing and mixing.

泛函分析 · 数学 2021-06-29 Karl-G. Grosse-Erdmann , Dimitris Papathanasiou

Understanding the future climate is crucial for informed policy decisions on climate change prevention and mitigation. Earth system models play an important role in predicting future climate, requiring accurate representation of complex…

机器学习 · 计算机科学 2024-01-09 Christian Reimers , David Hafezi Rachti , Guahua Liu , Alexander J. Winkler

Wildland fire dynamics is a complex turbulent dimensional process. Cellular automata (CA) is an efficient tool to predict fire dynamics, but the main parameters of the method are challenging to estimate. To overcome this challenge, we…

元胞自动机与格子气 · 物理学 2017-12-14 Miles Currie , Kevin Speer , Kevin Hiers , Joseph O'Brien , Scott Goodrick , Bryan Quaife

Armed conflict data display scaling and universal dynamics in both social and physical properties like fatalities and geographic extent. We propose a randomly branching, armed-conflict model that relates multiple properties to one another…

We describe numerical methods for incorporating gas dynamics into cosmological simulations and present illustrative applications to the cold dark matter (CDM) scenario. Our evolution code, a version of TreeSPH (Hernquist \& Katz 1989)…

天体物理学 · 物理学 2011-08-31 Neal Katz , David H. Weinberg , Lars Hernquist

The most general single species autonomous reaction-diffusion model on a Cayley tree with nearest-neighbor interactions is introduced. The stationary solutions of such models, as well as their dynamics, are discussed. To study dynamics of…

数学物理 · 物理学 2014-07-22 Mohammad Khorrami , Amir Aghamohammadi

We study analytically and numerically the role of temperature shifts in the simplest model where the energy landscape is explicitely hierarchical, namely the Sinai model. This model has both attractive features (there are valleys within…

无序系统与神经网络 · 物理学 2009-11-07 Marta Sales , Jean-Philippe Bouchaud , Felix Ritort

Motivated by the impact of worsening climate conditions on vegetation patches, we study dynamic instabilities in an idealized Ginzburg-Landau model. Our main results predict time instances of sudden drops in wavenumber and the resulting…

适应与自组织系统 · 物理学 2024-02-28 Anna Asch , Montie Avery , Anthony Cortez , Arnd Scheel

Vegetation in semi-arid environments self-organizes into striking spatial patterns -- bands, spots, labyrinths, and gaps -- with characteristic wavelengths on the order of tens to hundreds of meters. Existing reaction-diffusion models…

斑图形成与孤子 · 物理学 2026-04-06 Chad M. Topaz

Localised patterns are often observed in models for dryland vegetation, both as peaks of vegetation in a desert state and as gaps within a vegetated state, known as `fairy circles'. Recent results from radial spatial dynamics show that…

动力系统 · 数学 2024-10-14 Dan J. Hill