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The Standardized Precipitation Index (SPI) is a critical tool for monitoring drought conditions, typically relying on normalized accumulated precipitation. While longer historical records of precipitation yield more accurate parameter…

Applications · Statistics 2025-07-22 Touqeer Ahmad , Taha Hasan

Wildfire propagation is a highly stochastic process where small changes in environmental conditions (such as wind speed and direction) can lead to large changes in observed behaviour. A traditional approach to quantify uncertainty in…

Machine Learning · Computer Science 2023-09-04 Andrew Bolt , Conrad Sanderson , Joel Janek Dabrowski , Carolyn Huston , Petra Kuhnert

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…

Atmospheric and Oceanic Physics · Physics 2016-02-08 Mohamed Drissi

A geometric representation for multivariate extremes, based on the shapes of scaled sample clouds in light-tailed margins and their so-called limit sets, has recently been shown to connect several existing extremal dependence concepts.…

Methodology · Statistics 2023-11-03 Jennifer Wadsworth , Ryan Campbell

Carbon offset programs are critical in the fight against climate change. One emerging threat to the long-term stability and viability of forest carbon offset projects is wildfires, which can release large amounts of carbon and limit the…

Machine Learning · Computer Science 2023-05-05 Tristan Ballard , Matthew Cooper , Chris Lowrie , Gopal Erinjippurath

We analyse extreme daily minimum temperatures in winter months over the island of Ireland from 1950-2022. We model the marginal distributions of extreme winter minima using a generalised Pareto distribution (GPD), capturing temporal and…

Atmospheric and Oceanic Physics · Physics 2026-01-07 Dáire Healy , Jonathan A. Tawn , Peter Thorne , Andrew Parnell

The USDA Forest Inventory and Analysis (FIA) program conducts a national forest inventory for the United States through a network of permanent field plots. FIA produces estimates of area averages and totals for plot-measured forest…

Applications · Statistics 2025-09-04 Paul B. May , Andrew O. Finley

The 2019-2020 Black Summer bushfires in Australia devastated 19 million hectares, destroyed 3,000 homes, and lasted seven months, demonstrating the escalating scale and urgency of wildfire threats requiring better forecasting for effective…

Computers and Society · Computer Science 2025-10-29 Alec Sathiyamoorthy , Wenhao Zhou , Xiangmin Zhou , Xiaodong Li , Iqbal Gondal

Classical models for multivariate or spatial extremes are mainly based upon the asymptotically justified max-stable or generalized Pareto processes. These models are suitable when asymptotic dependence is present, i.e., the joint tail…

Methodology · Statistics 2021-05-13 Zhongwei Zhang , Raphaël Huser , Thomas Opitz , Jennifer L. Wadsworth

The conditional extremes framework allows for event-based stochastic modeling of dependent extremes, and has recently been extended to spatial and spatio-temporal settings. After standardizing the marginal distributions and applying an…

Methodology · Statistics 2024-03-26 Emma S. Simpson , Thomas Opitz , Jennifer L. Wadsworth

Fire is an indissoluble component of ecosystems, however quantifying the effects of fire on vegetation is challenging task as fire lies outside the typical experimental design attributes. A recent simulation study showed that under…

Populations and Evolution · Quantitative Biology 2014-12-16 Aristides Moustakas

In this paper, we estimate the sparse dependence structure in the tail region of a multivariate random vector, potentially of high dimension. The tail dependence is modeled via a graphical model for extremes embedded in the H\"usler-Reiss…

Methodology · Statistics 2026-04-15 Phyllis Wan , Chen Zhou

The possibilities of the use of the coefficient of variation over a high threshold in tail modelling are discussed. The paper also considers multiple threshold tests for a generalized Pareto distribution, together with a threshold selection…

Statistics Theory · Mathematics 2015-10-02 J. Castillo , M. Padilla

We develop a unified statistical framework for attributing heatwaves as spatio-temporal phenomena under climate change. We quantify the impact of anthropogenic forcing on the probability and persistence of heatwaves not captured by standard…

Applications · Statistics 2026-04-30 Kamal Gasser , Johan Segers , Francesco Ragone

We develop a finite-sample, design-based theory for random forests in which each tree is a randomized conditional predictor acting on fixed covariates and the forest is their Monte Carlo average. An exact variance identity separates Monte…

Machine Learning · Statistics 2026-03-03 Nathaniel S. O'Connell

One of the main concerns in extreme value theory is to quantify the dependence between joint tails. Using stochastic processes that lack flexibility in the joint tail may lead to severe under-or over-estimation of probabilities associated…

Statistics Theory · Mathematics 2018-01-04 Abul-Fattah Abu-Awwad , Véronique Maume-Deschamps , Pierre Ribereau

Based on complex network theory, we propose a computational methodology that addresses the spatial distribution of fuel breaks for the inhibition of the spread and size of wildland fires on heterogeneous landscapes. This is a two-tire…

Cellular Automata and Lattice Gases · Physics 2017-02-08 Lucia Russo , Paola Russo , Constantinos I. Siettos

The spatial modeling of extreme snow is important for adequate risk management in Alpine and high altitude countries. A natural approach to such modeling is through the theory of max-stable processes, an infinite-dimensional extension of…

Applications · Statistics 2011-12-01 Juliette Blanchet , Anthony C. Davison

Wildfire prediction is important for early warning and resource allocation, yet existing Earth foundation models (Earth FMs) are pretrained for general atmospheric and geophysical objectives rather than wildfire forecasting. To address this…

Machine Learning · Computer Science 2026-05-25 Yangshuang Xu , Yuyang Dai , Liling Chang , Qi Wang , Yushun Dong

This paper examines the use of risk models to predict the timing and location of wildfires caused by electricity infrastructure. Our data include historical ignition and wire-down points triggered by grid infrastructure collected between…

Systems and Control · Electrical Eng. & Systems 2022-09-28 Mengqi Yao , Meghana Bharadwaj , Zheng Zhang , Baihong Jin , Duncan S. Callaway
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