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The problem of estimating the slope parameter in regression between two spatial processes under confounding by an unmeasured spatial process has received widespread attention in the recent statistical literature. Yet, a fundamental question…

Statistics Theory · Mathematics 2026-03-04 Abhirup Datta , Michael L. Stein

The increasing frequency of environmental hazards due to climate change underscores the urgent need for effective monitoring systems. Current approaches either rely on expensive labelled datasets, struggle with seasonal variations, or…

Computer Vision and Pattern Recognition · Computer Science 2025-03-04 Samuel Garske , Konrad Heidler , Bradley Evans , KC Wong , Xiao Xiang Zhu

Global Climate Models (GCMs) are numerical models that simulate complex physical processes within the Earth's climate system and are essential for understanding and predicting climate change. However, GCMs suffer from systemic biases due to…

Applications · Statistics 2026-02-23 Reetam Majumder , Shiqi Fang , A. Sankarasubramanian , Emily C. Hector , Brian J. Reich

One measurement modality for rainfall is a fixed location rain gauge. However, extreme rainfall, flooding, and other climate extremes often occur at larger spatial scales and affect more than one location in a community. For example, in…

Methodology · Statistics 2024-05-02 Carlynn Fagnant , Julia C. Schedler , Katherine B. Ensor

Sea surface temperature (SST) is a fundamental determinant of global climate dynamics and economic activity. Reliable projections of future SST patterns depend critically on a rigorous characterization of the underlying spatial random…

Methodology · Statistics 2026-05-07 Leonardo Marchesin , Alessandra Menafoglio , Piercesare Secchi

The ability to recognize previously mapped locations is an essential feature for autonomous systems. Unstructured planetary-like environments pose a major challenge to these systems due to the similarity of the terrain. As a result, the…

We present a statistical framework for estimating global navigation satellite system (GNSS) non-ionospheric differential time delay bias. The biases are estimated by examining differences of measured line integrated electron densities (TEC)…

Instrumentation and Methods for Astrophysics · Physics 2015-08-13 Juha Vierinen , Anthea J. Coster , William C. Rideout , Philip J. Erickson , Johannes Norberg

Data fusion models are widely used in air quality monitoring to integrate in situ and large-scale gridded products, offering spatially complete and temporally detailed estimates. However, traditional Gaussian-based models often…

Applications · Statistics 2026-05-18 M. Daniela Cuba , Craig Wilkie , Marian Scott , Daniela Castro-Camilo

Identifying spatial heterogeneous patterns has attracted a surge of research interest in recent years, due to its important applications in various scientific and engineering fields. In practice the spatially heterogeneous components are…

Methodology · Statistics 2024-05-07 Xin Zhang , Shan Yu , Zhengyuan Zhu , Xin Wang

Local climate information is crucial for impact assessment and decision-making, yet coarse global climate simulations cannot capture small-scale phenomena. Current statistical downscaling methods infer these phenomena as temporally…

Machine Learning · Computer Science 2025-09-24 Jonathan Schmidt , Luca Schmidt , Felix Strnad , Nicole Ludwig , Philipp Hennig

Understanding the dynamics of climate variables is paramount for numerous sectors, like energy and environmental monitoring. This study focuses on the critical need for a precise mapping of environmental variables for national or regional…

Applications · Statistics 2026-04-30 Pietro Colombo , Claire Miller , Xiaochen Yang , Ruth O'Donnell , Paolo Maranzano

Spherically embedded spatial data are spatially indexed observations whose values naturally reside on or can be equivalently mapped to the unit sphere. Such data are increasingly ubiquitous in fields ranging from geochemistry to demography.…

Methodology · Statistics 2026-01-26 Jiazhen Xu , Han Lin Shang

We propose statistical procedures for detecting changes in the mean of spatial random fields observed on regular grids. The proposed framework provides a general approach to change detection in spatial processes. Extending a block-based…

Methodology · Statistics 2025-12-15 Sheila T. Görz , Roland Fried

Within the statistical literature, a significant gap exists in methods capable of modeling asymmetric multivariate spatial effects that elucidate the relationships underlying complex spatial phenomena. For such a phenomenon, observations at…

Methodology · Statistics 2024-04-10 Sjoerd Hermes , Joost van Heerwaarden , Pariya Behrouzi

In a wide range of applications, the stochastic properties of the observed time series change over time. The changes often occur gradually rather than abruptly: the prop- erties are (approximately) constant for some time and then slowly…

Methodology · Statistics 2014-03-18 Michael Vogt , Holger Dette

Moving-habitat models track the density of a population whose suitable habitat shifts as a consequence of climate change. Whereas most previous studies in this area consider 1-dimensional space, we derive and study a spatially 2-dimensional…

Numerical Analysis · Mathematics 2023-12-14 Jane Shaw MacDonald , Yves Bourgault , Frithjof Lutscher

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

We introduce a heterogeneous spatiotemporal GARCH model for geostatistical data or processes on networks, e.g., for modelling and predicting financial return volatility across firms in a latent spatial framework. The model combines…

Statistical Finance · Quantitative Finance 2025-08-29 Atika Aouri , Philipp Otto

Given inputs of diverse soil characteristics and climate data gathered from various regions, we aimed to build a model to predict accurate land emissions. The problem is important since accurate quantification of the carbon cycle in…

Machine Learning · Computer Science 2025-04-24 Arun Sharma , Majid Farhadloo , Mingzhou Yang , Ruolei Zeng , Subhankar Ghosh , Shashi Shekhar

The impacts of climate change are felt by most critical systems, such as infrastructure, ecological systems, and power-plants. However, contemporary Earth System Models (ESM) are run at spatial resolutions too coarse for assessing effects…

Computer Vision and Pattern Recognition · Computer Science 2017-03-10 Thomas Vandal , Evan Kodra , Sangram Ganguly , Andrew Michaelis , Ramakrishna Nemani , Auroop R Ganguly
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