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With the rise of electronic data, particularly Earth observation data, data-based geospatial modelling using machine learning (ML) has gained popularity in environmental research. Accurate geospatial predictions are vital for domain…

Machine Learning · Computer Science 2023-11-21 Diana Koldasbayeva , Polina Tregubova , Mikhail Gasanov , Alexey Zaytsev , Anna Petrovskaia , Evgeny Burnaev

Mixed modeling of extreme values and random effects is relatively unexplored topic. Computational difficulties in using the maximum likelihood method for mixed models and the fact that maximum likelihood method uses available data and does…

Applications · Statistics 2019-07-05 Ali Reza Fotouhi

Recent years have seen a huge development in spatial modelling and prediction methodology, driven by the increased availability of remote-sensing data and the reduced cost of distributed-processing technology. It is well known that…

Computation · Statistics 2020-02-18 Andrew Zammit-Mangion , Jonathan Rougier

Ambient air pollution poses significant health and environmental challenges. Exposure to high concentrations of PM$_{2.5}$ have been linked to increased respiratory and cardiovascular hospital admissions, more emergency department visits…

Applications · Statistics 2026-02-27 Zeinab Mohamed , Wenlong Gong

Statistical matching methods are widely used in the social and health sciences to estimate causal effects using observational data. Often the objective is to find comparable groups with similar covariate distributions in a dataset, with the…

Applications · Statistics 2021-01-19 Felix Bestehorn , Maike Bestehorn , Christian Kirches

Stochastic methods are a crucial area in contemporary climate research and are increasingly being used in comprehensive weather and climate prediction models as well as reduced order climate models. Stochastic methods are used as…

Atmospheric and Oceanic Physics · Physics 2020-11-16 Christian L. E. Franzke , Terence J. O'Kane , Judith Berner , Paul D. Williams , Valerio Lucarini

This paper presents the first application of Gaussian Mixture Copula Models to the statistical modeling of driving scenarios for the safety validation of automated driving systems. Knowledge of the joint probability distribution of scenario…

Robotics · Computer Science 2026-01-27 Christian Reichenbächer , Philipp Rank , Jochen Hipp , Oliver Bringmann

Stochastic reaction networks are mathematical models with a wide range of applications in biochemistry, ecology, and epidemiology, and are often complex to analyze. Except for some special cases, it is generally difficult to predict how the…

Probability · Mathematics 2026-04-02 Daniele Cappelletti , Giulio Cuniberti , Paola Siri

In order to model an epidemic, different approaches can be adopted. Mainly, the deterministic approach and the stochastic one. Recently, a large amount of literature has been published using the two approaches. The aim of this paper is to…

Populations and Evolution · Quantitative Biology 2023-01-30 Mohamed Mehdaoui

Statistical post-processing techniques are now widely used to correct systematic biases and errors in calibration of ensemble forecasts obtained from multiple runs of numerical weather prediction models. A standard approach is the ensemble…

Methodology · Statistics 2018-05-23 Sándor Baran , Sebastian Lerch

Climate change exacerbates extreme weather events like heavy rainfall and flooding. As these events cause severe socioeconomic damage, accurate high-resolution simulation of precipitation is imperative. However, existing Earth System Models…

Geophysics · Physics 2026-02-03 Michael Aich , Philipp Hess , Baoxiang Pan , Sebastian Bathiany , Yu Huang , Niklas Boers

Recognition of evolutionary units (species, populations) requires integrating several kinds of data such as genetic or phenotypic markers or spatial information, in order to get a comprehensive view concerning the differentiation of the…

Populations and Evolution · Quantitative Biology 2011-12-22 Gilles Guillot , Sabrina Renaud , Ronan Ledevin , Joahn Michaux , Julien Claude

In analyses of spatially-referenced data, researchers often have one of two goals: to quantify relationships between a response variable and covariates while accounting for residual spatial dependence or to predict the value of a response…

Methodology · Statistics 2016-01-11 Candace Berrett , Catherine A. Calder

Stochastic differential equations (SDEs) are established tools to model physical phenomena whose dynamics are affected by random noise. By estimating parameters of an SDE intrinsic randomness of a system around its drift can be identified…

Computation · Statistics 2012-05-03 Umberto Picchini , Susanne Ditlevsen

Phylodynamics seeks to estimate effective population size fluctuations from molecular sequences of individuals sampled from a population of interest. One way to accomplish this task formulates an observed sequence data likelihood exploiting…

This paper presents a general model framework for detecting the preferential sampling of environmental monitors recording an environmental process across space and/or time. This is achieved by considering the joint distribution of an…

Methodology · Statistics 2019-04-09 Joe Watson , James V. Zidek , Gavin Shaddick

Stochastic differential equations provide a powerful tool for modelling dynamic phenomena affected by random noise. In case of repeated observations of time series for several experimental units, it is often the case that some of the…

Methodology · Statistics 2024-09-06 Fernando Baltazar-Larios , Mogens Bladt , Michael Sørensen

Modeling environmental ecosystems is essential for effective resource management, sustainable development, and understanding complex ecological processes. However, traditional data-driven methods face challenges in capturing inherently…

Machine Learning · Computer Science 2025-04-08 Runlong Yu , Shengyu Chen , Yiqun Xie , Huaxiu Yao , Jared Willard , Xiaowei Jia

Understanding the spatial distribution of animals, during all their life phases, as well as how the distributions are influenced by environmental covariates, is a fundamental requirement for the effective management of animal populations.…

Applications · Statistics 2020-10-26 Soraia Pereira , Raquel Menezes , Maria Manuel Angélico , Tiago Marques

Multilevel or hierarchical data structures can occur in many areas of research, including economics, psychology, sociology, agriculture, medicine, and public health. Over the last 25 years, there has been increasing interest in developing…

Methodology · Statistics 2018-01-08 Bernet S. Kato , Carel F. W. Peeters