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Related papers: A general model for wildfire propagation with wind…

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Accurate spatiotemporal modeling of conditions leading to moderate and large wildfires provides better understanding of mechanisms driving fire-prone ecosystems and improves risk management. We here develop a joint model for the occurrence…

Methodology · Statistics 2021-07-15 Jonathan Koh , François Pimont , Jean-Luc Dupuy , Thomas Opitz

In wildfires, burning pieces of ember-firebrands-are carried downstream by wind. At the time of landing, these firebrands can start secondary fires far away from the main burning unit. This phenomenon is called spotting and the secondary…

Fluid Dynamics · Physics 2024-11-21 Mohammad Farazmand

Recent wildfires in Australia have led to considerable economic loss and property destruction, and there is increasing concern that climate change may exacerbate their intensity, duration, and frequency. Hazard quantification for extreme…

Applications · Statistics 2024-01-12 Daniela Cisneros , Jordan Richards , Ashok Dahal , Luigi Lombardo , Raphaël Huser

In recent years, advances in computational power and spatial data analysis (GIS, remote sensing, etc) have led to an increase in attempts to model the spread and behaviour of wildland fires across the landscape. This series of review papers…

Geophysics · Physics 2010-07-28 A. L. Sullivan

Forecasting bushfire spread is an important element in fire prevention and response efforts. Empirical observations of bushfire spread can be used to estimate fire response under certain conditions. These observations form rate-of-spread…

Machine Learning · Computer Science 2022-03-24 Andrew Bolt , Joel Janek Dabrowski , Carolyn Huston , Petra Kuhnert

Wildfires represent a problem for ecosystems, human activities, and economies, driven by the climate crisis and land-use changes. Predicting wildfire propagation through mathematical modelling is essential for damage mitigation and risk…

In this dissertation, we explore models based on the idea that there are two metrics in spacetime: One describes the standard gravity, and the other provides a geometry in which matter fields propagate. In order to do that, we provide the…

General Relativity and Quantum Cosmology · Physics 2013-12-13 Jose Tomas Galvez Ghersi

We describe the physical model, numerical algorithms, and software structure of WRF-Fire. WRF-Fire consists of a fire-spread model, implemented by the level-set method, coupled with the Weather Research and Forecasting model. In every time…

Atmospheric and Oceanic Physics · Physics 2012-03-27 Jan Mandel , Jonathan D. Beezley , Adam K. Kochanski

Due to severe societal and environmental impacts, wildfire prediction using multi-modal sensing data has become a highly sought-after data-analytical tool by various stakeholders (such as state governments and power utility companies) to…

Applications · Statistics 2023-10-12 Chen Xu , Yao Xie , Daniel A. Zuniga Vazquez , Rui Yao , Feng Qiu

We discuss the scaling behavior of the self-organized critical forest-fire model on large length scales. As indicated in earlier publications, the forest-fire model does not show conventional critical scaling, but has two qualitatively…

Statistical Mechanics · Physics 2009-11-07 Klaus Schenk , Barbara Drossel , Franz Schwabl

Wildfire is an important system process of the earth that occurs across a wide range of spatial and temporal scales. A variety of methods have been used to predict wildfire phenomena during the past century to better our understanding of…

Applications · Statistics 2013-12-24 S. W. Taylor , Douglas G. Woolford , C. B. Dean , David L. Martell

Understanding the energy transfer from wind to waves is an important but complex topic, typically based on phenomenology, on pure numerics, or on technically challenging analysis, carried out on a case by case basis. Here we show that the…

Fluid Dynamics · Physics 2025-06-27 Christophe Chaubet , Miguel A. Manna , Norbert Kern

We derive and establish a solution concept for the linear mountain wave problem in two dimensions. After linearizing the governing equations and a change of variables, the problem can be stated as a Dirichlet boundary value problem for a…

Analysis of PDEs · Mathematics 2026-03-24 Adrian Constantin , Jörg Weber

The current WRF-Fire model starts the fire from a given ignition point at a given time. We want to start the model from a given fire perimeter at a given time instead. However, the fuel balance and the state of the atmosphere depend on the…

Atmospheric and Oceanic Physics · Physics 2011-07-20 Volodymyr Y. Kondratenko , Jonathan D. Beezley , Adam K. Kochanski , Jan Mandel

In this paper we developed the model for the carbon dioxide emission from forest fire. The master equation for the spreading of the carbon dioxide to atmosphere is the hyperbolic diffusion equation. In the paper we study forest fire ignited…

General Physics · Physics 2009-04-01 Magdalena Pelc , Radoslaw Osuch

In tropical regions, fires propagate readily in grasslands but typically consume only edges of forest patches. Thus forest patches grow due to tree propagation and shrink by fires in surrounding grasslands. The interplay between these…

Populations and Evolution · Quantitative Biology 2018-02-15 Laurent Hébert-Dufresne , Adam F. A. Pellegrini , Uttam Bhat , Sidney Redner , Stephen W. Pacala , Andrew M. Berdahl

Models for wildfires must be stochastic if their ability to represent wildfires is to be objectively assessed. The need for models to be stochastic emerges naturally from the physics of the fire, and methods for assessing fit are…

Computational Physics · Physics 2009-11-03 Jeffrey Picka

Electric power infrastructure faces increasing risk of damage and disruption due to wildfire. Operators of power grids in wildfire-prone regions must consider the potential impacts of unpredictable fires. However, traditional wildfire…

Optimization and Control · Mathematics 2026-03-20 Matthew Brun , Xu Andy Sun , Jean-Paul Watson

The Drossel-Schwabl Forest Fire Model is one of the best studied models of non-conservative self-organised criticality. However, using a new algorithm, which allows us to study the model on large statistical and spatial scales, it has been…

Statistical Mechanics · Physics 2007-05-23 Gunnar Pruessner , Henrik Jeldtoft Jensen

Consider the following forest fire model where the possible locations of trees are the sites of $\mathbb{Z}$. Each site has three possible states: 'vacant', 'occupied' or 'burning'. Vacant sites become occupied at rate $1$. At each site,…

Probability · Mathematics 2015-03-13 Jean-Maxime Le Cousin