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Related papers: Wildfire Suppression: Complexity, Models, and Inst…

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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

The devastating effects of wildfires on the wildlife and their impact on human lives and properties are undeniable. This shows the importance of studying the spread of wildfire, predicting its behavior and presenting more reliable models…

Dynamical Systems · Mathematics 2021-03-29 Hengameh R. Dehkordi

Global wildfire spreading dynamics and severity are analyzed using the susceptible-infected-recovered (SIR) compartment model. We use the novel FireTracks (FT) Scientific Dataset covering the wildfire time series of 2002-2023.

Physics and Society · Physics 2024-04-29 Tong Pan , Hongjun Wang , Jiyuan Chen , Xuan Song

The Firefighter problem and a variant of it, known as Resource Minimization for Fire Containment (RMFC), are natural models for optimal inhibition of harmful spreading processes. Despite considerable progress on several fronts, the…

Data Structures and Algorithms · Computer Science 2016-03-15 David Adjiashvili , Andrea Baggio , Rico Zenklusen

Continuous and discrete models for firefighting problems are well-studied in Theoretical Computer Science. We introduce a new, discrete, and more general framework based on a hexagonal cell graph to study firefighting problems in varied…

Computational Geometry · Computer Science 2019-11-26 Rolf Klein , David Kübel , Elmar Langetepe , Jörg-Rüdiger Sack , Barbara Schwarzwald

Wildfire forecasting problems usually rely on complex grid-based mathematical models, mostly involving Computational fluid dynamics(CFD) and Celluar Automata, but these methods have always been computationally expensive and difficult to…

Machine Learning · Computer Science 2023-08-21 Hansong Xiao

The increasing intensity and frequency of wildfires are causing significant economic and societal impacts on communities through direct effects on the built environment, particularly critical infrastructure. Electrical systems can both…

Systems and Control · Electrical Eng. & Systems 2026-03-09 Richard Campos , Erica Fischer , Eduardo Cotilla-Sanchez

This study presents a probabilistic surrogate model for localized wildfire spread based on a conditional flow matching algorithm. The approach models fire progression as a stochastic process by learning the conditional distribution of fire…

Machine Learning · Computer Science 2026-03-31 Bryan Shaddy , Haitong Qin , Brianna Binder , James Haley , Riya Duddalwar , Kyle Hilburn , Assad Oberai

In recent years, increased wildfires have caused irreversible damage to forest resources worldwide, threatening wildlives and human living conditions. The lack of accurate frontline information in real-time can pose great risks to…

Robotics · Computer Science 2021-12-07 Tai Yang , Shumeng Zhang , Yong Wang , Jialei Liu

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

Wildfires pose significant threats to ecosystems and communities, yet accurately modeling fire spread remains challenging, particularly in regions where environmental and fuel data are scarce or unavailable. This study introduces an…

Mathematical Physics · Physics 2025-12-12 Hengameh R. Dehkordi

We study the problem of evacuation planning for natural disasters, focusing on wildfire evacuations. By creating pre-planned evacuation routes that can be updated based on real-time data, we provide an easily adjustable approach to…

Optimization and Control · Mathematics 2025-07-10 Steffen Borgwardt , Nicholas Crawford , Drew Horton , Angela Morrison , Emily Speakman

Understanding the dynamics of wildfire is crucial for developing management and intervention strategies. Mathematical and computational models can be used to improve our understanding of wildfire processes and dynamics. This paper presents…

Dynamical Systems · Mathematics 2024-02-02 Cordula Reisch , Adrián Navas-Montilla , Ilhan Özgen-Xian

Predicting future states in uncertain environments, such as wildfire spread, medical diagnosis, or autonomous driving, requires models that can consider multiple plausible outcomes. While diffusion models can effectively learn such…

Computer Vision and Pattern Recognition · Computer Science 2026-03-23 Sebastian Gerard , Josephine Sullivan

Anthropogenic climate change has increased the probability, severity, and duration of heat waves and droughts, subsequently escalating the risk of wildfires. Mathematical and computational models can enhance our understanding of wildfire…

Fluid Dynamics · Physics 2025-03-13 Adrián Navas-Montilla , Cordula Reisch , Pablo Diaz , Ilhan Özgen-Xian

Level set methods are versatile and extensible techniques for general front tracking problems, including the practically important problem of predicting the advance of a firefront across expanses of surface vegetation. Given a rule,…

Numerical Analysis · Mathematics 2007-10-16 V. Mallet , D. E. Keyes , F. E. Fendell

A geometric model for the computation of the firefront of a forest wildfire which takes into account several effects (possibly time-dependent wind, anisotropies and slope of the ground) is introduced. It relies on a general theoretical…

Differential Geometry · Mathematics 2024-08-07 Miguel Ángel Javaloyes , Enrique Pendás-Recondo , Miguel Sánchez

Wildfire prediction has become increasingly crucial due to the escalating impacts of climate change. Traditional CNN-based wildfire prediction models struggle with handling missing oceanic data and addressing the long-range dependencies…

Machine Learning · Computer Science 2024-02-13 Dayou Chen , Sibo Cheng , Jinwei Hu , Matthew Kasoar , Rossella Arcucci

Numerous approaches study the vulnerability of networks against social contagion. Graph burning studies how fast a contagion, modeled as a set of fires, spreads in a graph. The burning process takes place in synchronous, discrete rounds. In…

Combinatorics · Mathematics 2019-04-08 Anthony Bonato , Shahin Kamali

Wildfires are growing in frequency and intensity, devastating ecosystems and communities while causing billions of dollars in suppression costs and economic damage annually in the U.S. Traditional wildfire management is mostly reactive,…

Machine Learning · Computer Science 2026-01-21 Shaurya Mathur , Shreyas Bellary Manjunath , Nitin Kulkarni , Alina Vereshchaka