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The one-dimensional forest-fire model including lightnings is studied numerically and analytically. For the tree correlation function, a new correlation length with critical exponent \nu ~ 5/6 is found by simulations. A Hamiltonian…

凝聚态物理 · 物理学 2015-02-24 A. Honecker , I. Peschel

We prove the well-posedness of a differential equation that describes the evolution of the large-system limit of the empirical age measure in the mean field forest fire model of R\'ath and T\'oth (arXiv:0808.2116). This forest fire model is…

偏微分方程分析 · 数学 2020-07-14 Edward Crane

We propose a computationally efficient alternative to generalized random forests (GRFs) for estimating heterogeneous effects in large dimensions. While GRFs rely on a gradient-based splitting criterion, which in large dimensions is…

机器学习 · 统计学 2025-06-18 David Fleischer , David A. Stephens , Archer Y. Yang

We review the properties of the self-organized critical (SOC) forest-fire model. The paradigm of self-organized criticality refers to the tendency of certain large dissipative systems to drive themselves into a critical state independent of…

统计力学 · 物理学 2016-08-31 Siegfried Clar , Barbara Drossel , Franz Schwabl

We consider random dynamics on a uniform random recursive tree with $n$ vertices. Successively, in a uniform random order, each edge is either set on fire with some probability $p_n$ or fireproof with probability $1-p_n$. Fires propagate in…

概率论 · 数学 2016-02-17 Cyril Marzouk

The objective of the present study is twofold. First, the last developments and validation results of a hybrid model designed to simulate fire patterns in heterogeneous landscapes are presented. The model combines the features of a…

大气与海洋物理 · 物理学 2016-02-08 Mohamed Drissi

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

We study the distribution of ages in the mean field forest fire model introduced by R\'ath and T\'oth. This model is an evolving random graph whose dynamics combine Erd\H{o}s-R\'enyi edge-addition with a Poisson rain of lightning strikes.…

概率论 · 数学 2021-10-07 Edward Crane , Balazs Rath , Dominic Yeo

One of the impacts of climate change is the difficulty of tree regrowth after wildfires over areas that traditionally were covered by certain tree species. Here a deep learning model is customized to classify land covers from four-band…

计算机视觉与模式识别 · 计算机科学 2020-11-13 Wang Zhou , Levente Klein

There have been many recent developments in the use of Deep Learning Neural Networks for fire detection. In this paper, we explore an early warning system for detection of forest fires. Due to the lack of sizeable datasets and models tuned…

计算机视觉与模式识别 · 计算机科学 2025-11-26 Sharjeel Ahmed , Daim Armaghan , Fatima Naweed , Umair Yousaf , Ahmad Zubair , Murtaza Taj

Consider the following forest-fire process on a connected graph. Each site of the graph can be either occupied or vacant. A vacant site becomes occupied with rate 1. A site is ignited with rate lambda, and its whole occupied cluster burns…

概率论 · 数学 2012-03-27 Alice Stahl

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…

统计力学 · 物理学 2007-05-23 Gunnar Pruessner , Henrik Jeldtoft Jensen

We present results on a stochastic forest fire model, where the influence of the neighbour trees is treated in a more realistic way than usual and the definition of neighbourhood can be tuned by an additional parameter. This model exhibits…

元胞自动机与格子气 · 物理学 2015-05-13 Klaus Lichtenegger , Wilhelm Schappacher

Assimilation of data into a fire-spread model is formulated as an optimization problem. The level set equation, which relates the fire arrival time and the rate of spread, is allowed to be satisfied only approximately, and we minimize a…

计算工程、金融与科学 · 计算机科学 2018-06-18 Àngel Farguell Caus , James Haley , Adam K. Kochanski , Ana Cortés Fité , Jan Mandel

We consider a deterministic discrete-time model of fire spread introduced by Hartnell [1995] and the problem of minimizing the number of burnt vertices when deploying a limited number of firefighters per timestep. We consider the process…

组合数学 · 数学 2007-05-23 Mike Develin , Stephen G. Hartke

Forest fires are the outcome of a complex interaction between environmental factors, topography and socioeconomic factors (Bedia et al, 2014). Therefore, understand causality and early prediction are crucial elements for controlling such…

We discuss the properties of a self--organized critical forest--fire model which has been introduced recently. We derive scaling laws and define critical exponents. The values of these critical exponents are determined by computer…

凝聚态物理 · 物理学 2009-10-22 S. Clar , B. Drossel , F. Schwabl

We are developing a wildland fire model based on semi-empirical relations that estimate the rate of spread of a surface fire and post-frontal heat release, coupled with WRF, the Weather Research and Forecasting atmospheric model. A level…

Wildfires cause major losses worldwide, and the frequency of fire-weather conditions is likely to increase in many regions. We study the allocation of suppression resources over time on a graph-based representation of a landscape to slow…

计算工程、金融与科学 · 计算机科学 2026-04-01 Gustavo Delazeri , Marcus Ritt

The distribution of data points is a key component in machine learning. In most cases, one uses min-max normalization to obtain nodes in $[0,1]$ or Z-score normalization for standard normal distributed data. In this paper, we apply…

机器学习 · 统计学 2022-01-31 Daniel Potts , Michael Schmischke