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We introduce a method for decomposition of trend, cycle and seasonal components in spatio-temporal models and apply it to investigate the existence of climate changes in temperature and rainfall series. The method incorporates critical…

Applications · Statistics 2017-03-21 Marcio Poletti Laurini

Accurate lake temperature estimation is essential for numerous problems tackled in both hydrological and ecological domains. Nowadays physical models are developed to estimate lake dynamics; however, computations needed for accurate…

Machine Learning · Computer Science 2021-09-29 Michael Stalder , Firat Ozdemir , Artur Safin , Jonas Sukys , Damien Bouffard , Fernando Perez-Cruz

Significant salinity anomalies have been observed in the Arctic Ocean surface layer during the last decade. Using gridded data of winter salinity in the upper 50 m layer of the Arctic Ocean for the period 1950-1993 and 2007-2012, we…

Atmospheric and Oceanic Physics · Physics 2014-09-09 Ekaterina A. Chernyavskaya , Ivan Sudakov , Kenneth M. Golden , Leonid A. Timokhov

Monitoring daily weather fields is critical for climate science, agriculture, and environmental planning, yet fully probabilistic spatio-temporal models become computationally prohibitive at continental scale. We present a case study on…

Applications · Statistics 2026-02-12 Tim Gyger , Reinhard Furrer , Fabio Sigrist

Classical assessments of trends in gridded temperature data perform independent evaluations across the grid, thus, ignoring spatial correlations in the trend estimates. In particular, this affects assessments of trend significance as…

Applications · Statistics 2019-01-28 Ola Haug , Thordis L Thorarinsdottir , Sigrunn H Sørbye , Christian L E Franzke

We develop a class of nearest-neighbor mixture models that provide direct, computationally efficient, probabilistic modeling for non-Gaussian geospatial data. The class is defined over a directed acyclic graph, which implies conditional…

Methodology · Statistics 2022-06-28 Xiaotian Zheng , Athanasios Kottas , Bruno Sansó

Fitting Gaussian Processes (GPs) provides interpretable aleatoric uncertainty quantification for estimation of spatio-temporal fields. Spatio-temporal deep learning models, while scalable, typically assume a simplistic independent…

Machine Learning · Statistics 2025-10-27 Brandon R. Feng , David Keetae Park , Xihaier Luo , Arantxa Urdangarin , Shinjae Yoo , Brian J. Reich

Direct phase-resolved simulations are performed to investigate the propagation and scattering of nonlinear ocean waves in fragmented sea ice. The numerical model solves the full time-dependent equations for nonlinear potential flow coupled…

Fluid Dynamics · Physics 2022-11-30 Boyang Xu , Philippe Guyenne

The physics of planetary climate features a variety of complex systems that are challenging to model as they feature turbulent flows. A key example is the heat flux from the upper ocean to the underside of sea ice which provides a key…

Atmospheric and Oceanic Physics · Physics 2025-01-16 Srikanth Toppaladoddi , Andrew J. Wells

Spatio-temporal change of support methods are designed for statistical analysis on spatial and temporal domains which can differ from those of the observed data. Previous work introduced a parsimonious class of Bayesian hierarchical…

Computation · Statistics 2024-01-19 Andrew M. Raim , Scott H. Holan , Jonathan R. Bradley , Christopher K. Wikle

Accurately estimating latent velocity vector fields of atmospheric winds is crucial for understanding weather phenomena. Direct measurement of atmospheric winds is costly, especially in the upper atmosphere, so researchers attempt to…

Applications · Statistics 2025-06-12 Youssef Fahmy , Maria Laura Battagliola , Joseph Guinness

Geostationary satellites collect high-resolution weather data comprising a series of images which can be used to estimate wind speed and direction at different altitudes. The Derived Motion Winds (DMW) Algorithm is commonly used to process…

Applications · Statistics 2023-09-13 Indranil Sahoo , Joseph Guinness , Brian J. Reich

Learning spatio-temporal patterns of polar ice layers is crucial for monitoring the change in ice sheet balance and evaluating ice dynamic processes. While a few researchers focus on learning ice layer patterns from echogram images captured…

Machine Learning · Computer Science 2024-06-24 Zesheng Liu , Maryam Rahnemoonfar

We discuss a general Bayesian framework on modeling multidimensional function-valued processes by using a Gaussian process or a heavy-tailed process as a prior, enabling us to handle nonseparable and/or nonstationary covariance structure.…

Methodology · Statistics 2020-07-29 Evandro Konzen , Jian Qing Shi , Zhanfeng Wang

There is a lot of data about mean sea level variation from studies conducted around the globe. This data is dispersed, lacks organization along with standardization, and in most cases, it is not available online. In some instances, when it…

Computers and Society · Computer Science 2024-02-08 Mihir Odhavji , Maria Alexandra Oliveira , João Nuno Silva

We expand on a recent determination of the first global energy spectrum of the ocean's surface geostrophic circulation (Storer et al., 2022) using a coarse-graining (CG) method. We compare spectra from CG to those from spherical harmonics…

Atmospheric and Oceanic Physics · Physics 2023-07-12 Michele Buzzicotti , Benjamin A. Storer , Hemant Khatri , Stephen M. Griffies , Hussein Aluie

We propose a Bayesian, noisy-input, spatial-temporal generalised additive model to examine regional relative sea-level (RSL) changes over time. The model provides probabilistic estimates of component drivers of regional RSL change via the…

Applications · Statistics 2025-09-26 Maeve Upton , Andrew Parnell , Andrew Kemp , Erica Ashe , Gerard McCarthy , Niamh Cahill

We present online prediction methods for time series that let us explicitly handle nonstationary artifacts (e.g. trend and seasonality) present in most real time series. Specifically, we show that applying appropriate transformations to…

Machine Learning · Statistics 2018-08-28 Christopher Xie , Avleen Bijral , Juan Lavista Ferres

Inspired by spatiotemporal observations from satellites of the trajectories of objects drifting near the surface of the ocean in the National Oceanic and Atmospheric Administration's `Global Drifter Program', this paper develops data-driven…

Chaotic Dynamics · Physics 2018-10-19 François Gay-Balmaz , Darryl D. Holm

This is a statistical analysis of the oceanographic time series measured across Fram Strait at a latitude of 78{\deg}50'N. Fram Strait is the deepest passage between the Arctic Ocean and the North Atlantic. There are up to 16 mooring lines…

Atmospheric and Oceanic Physics · Physics 2012-08-24 Florian Greil