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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…

动力系统 · 数学 2024-02-02 Cordula Reisch , Adrián Navas-Montilla , Ilhan Özgen-Xian

Identifying regions that have high likelihood for wildfires is a key component of land and forestry management and disaster preparedness. We create a data set by aggregating nearly a decade of remote-sensing data and historical fire records…

计算机视觉与模式识别 · 计算机科学 2021-02-11 Fantine Huot , R. Lily Hu , Matthias Ihme , Qing Wang , John Burge , Tianjian Lu , Jason Hickey , Yi-Fan Chen , John Anderson

The burning number is a recently introduced graph parameter indicating the spreading speed of content in a graph through its edges. While the conjectured upper bound on the necessary numbers of time steps until all vertices are reached is…

组合数学 · 数学 2019-12-24 Michaela Hiller , Eberhard Triesch , Arie M. C. A. Koster

We study a size-structured model proposed in [1] C. Barril, \`A. Calsina, O. Diekmann, J. Z. Farkas, On competition through growth reduction, e-print arXiv:2303.02981, to describe the dynamics of trees growth in the forest. Our approach to…

动力系统 · 数学 2024-01-19 Franco Herrera , Sergei Trofimchuk

We re-examine a two-dimensional forest-fire model via Monte-Carlo simulations and show the existence of two length scales with different critical exponents associated with clusters and with the usual two-point correlation function of trees.…

统计力学 · 物理学 2015-02-24 A. Honecker , I. Peschel

In this paper we use a variant of the Watts-Strogatz small-world model to predict wildfire behavior near the critical propagation/nonpropagation threshold. We find that forest fire patterns are fractal and that critical exponents are…

物理与社会 · 物理学 2008-05-23 Porterie Bernard , Kaiss Ahmed , Clerc Jean Pierre , Zekri Nouredine , Lotfi Zekri

Random forests are a learning algorithm proposed by Breiman [Mach. Learn. 45 (2001) 5--32] that combines several randomized decision trees and aggregates their predictions by averaging. Despite its wide usage and outstanding practical…

统计理论 · 数学 2015-08-11 Erwan Scornet , Gérard Biau , Jean-Philippe Vert

We consider a model of random tree growth, where at each time unit a new vertex is added and attached to an already existing vertex chosen at random. The probability with which a vertex with degree $k$ is chosen is proportional to $w(k)$,…

概率论 · 数学 2007-05-23 Anna Rudas , Balint Toth , Benedek Valko

With the increased size and frequency of wildfire eventsworldwide, accurate real-time prediction of evolving wildfirefronts is a crucial component of firefighting efforts and for-est management practices. We propose a wildfire…

计算机视觉与模式识别 · 计算机科学 2020-09-10 Maxfield E. Green , Karl Kaiser , Nat Shenton

Models at various levels of resolution are commonly used, both for forest management and in ecological research. They all have comparative advantages and disadvantages, making desirable a better understanding of the relationships between…

种群与进化 · 定量生物学 2022-02-03 Oscar García

The dynamics of infectious diseases spread is crucial in determining their risk and offering ways to contain them. We study sequential vaccination of individuals in networks. In the original (deterministic) version of the Firefighter…

系统与控制 · 计算机科学 2017-11-23 Guy Tennenholtz , Constantine Caramanis , Shie Mannor

Data-driven techniques are being increasingly applied to complement physics-based models in fire science. However, the lack of sufficiently large datasets continues to hinder the application of certain machine learning techniques. In this…

机器学习 · 计算机科学 2024-08-21 Xin Tong , Bryan Quaife

In this paper we investigate the acceleration of the expansion of premixed spherical flames and evolution of the cellular patterns on their surfaces. An asymptotic model is used for the simulations and a spectral numerical algorithm is…

流体动力学 · 物理学 2017-02-01 V. Karlin , G. Sivashinsky

Predictions of fatalities from violent conflict on the PRIO-GRID-month (pgm) level are characterized by high levels of uncertainty, limiting their usefulness in practical applications. We discuss the two main sources of uncertainty for this…

应用统计 · 统计学 2026-03-13 Daniel Mittermaier , Tobias Bohne , Martin Hofer , Daniel Racek

We study tree lengths in $\Lambda$-coalescents without a dust component from a sample of $n$ individuals. For the total length of all branches and the total length of all external branches we present laws of large numbers in full…

概率论 · 数学 2019-01-23 Christina S. Diehl , Götz Kersting

Random forests are a scheme proposed by Leo Breiman in the 2000's for building a predictor ensemble with a set of decision trees that grow in randomly selected subspaces of data. Despite growing interest and practical use, there has been…

机器学习 · 统计学 2012-03-28 Gérard Biau

Turbulence is of paramount importance in wildland fire propagation since it randomly transports the hot air mass that can pre-heat and then ignite the area ahead the fire. This contributes to give a random character to the firefront…

大气与海洋物理 · 物理学 2014-08-27 Gianni Pagnini , Luca Massidda

Fires in the one-dimensional Bak-Chen-Tang forest fire model propagate as solitons, resembling shocks in Burgers turbulence. The branching of solitons, creating new fires, is balanced by the pair-wise annihilation of oppositely moving…

统计力学 · 物理学 2009-10-31 Per Bak , Kan Chen , Maya Paczuski

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…

机器人学 · 计算机科学 2021-12-07 Tai Yang , Shumeng Zhang , Yong Wang , Jialei Liu

In recent years, the increasing threat of devastating wildfires has underscored the need for effective prescribed fire management. Process-based computer simulations have traditionally been employed to plan prescribed fires for wildfire…