The SPDE approach for Gaussian and non-Gaussian fields: 10 years and still running

Incorporating vertical distribution in index standardization accounts for spatiotemporal availability to acoustic and bottom trawl gear for semi-pelagic species

(2021) Cole C Monnahan et al.   ICES JOURNAL OF MARINE SCIENCE

Spatial Regression With Partial Differential Equation Regularisation

(2021) Laura M. Sangalli   INTERNATIONAL STATISTICAL REVIEW

A two‐field geostatistical model combining point and areal observations—A case study of annual runoff predictions in the Voss area

(2021) Thea Roksvåg et al.   JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES C-APPLIED STATISTICS

Seagrass seed bank spatial structure and function following a large-scale decline

(2021) JC Jarvis et al.   MARINE ECOLOGY PROGRESS SERIES

Killer whale movements on the Norwegian shelf are associated with herring density

(2021) EF Vogel et al.   MARINE ECOLOGY PROGRESS SERIES

Thermal stress jeopardizes carbonate production of coral reefs across the western and central Pacific Ocean

(2021) Robert van Woesik et al.   PLoS One

Variation in use of Caesarean section in Norway: An application of spatio-temporal Gaussian random fields

(2021) Janne Mannseth et al.   SCANDINAVIAN JOURNAL OF PUBLIC HEALTH

Spatio-temporal modelling of changes in air pollution exposure associated to the COVID-19 lockdown measures across Europe

(2021) Anton Beloconi et al.   SCIENCE OF THE TOTAL ENVIRONMENT

Spatial modeling of mid-infrared spectral data with thermal compensation using integrated nested Laplace approximation

(2021) Bernardo Aquino et al.   APPLIED OPTICS

A 40‐year chronology of the vulnerability of spinetail devil ray ( Mobula mobular ) to eastern Pacific tuna fisheries and options for future conservation and management

(2021) Shane P. Griffiths et al.   AQUATIC CONSERVATION-MARINE AND FRESHWATER ECOSYSTEMS

What are the associations between thinning and fire severity?

(2021) Chris Taylor et al.   AUSTRAL ECOLOGY

Landscape features associated to wind farms increase mammalian predator abundance and ground-nest predation

(2021) Julia Gómez-Catasús et al.   BIODIVERSITY AND CONSERVATION

Spatial modelling of hydrothermal mineralization-related geochemical patterns using INLA+SPDE and local singularity analysis

(2021) Jian Wang et al.   COMPUTERS & GEOSCIENCES

Spatial dependency in abundance of Queen conch, Aliger gigas , in the Caribbean, indicates the importance of surveying deep‐water distributions

(2021) Erik M. Boman et al.   DIVERSITY AND DISTRIBUTIONS

Environmental drivers of Patagonian toothfish (Dissostichus eleginoides) spatial-temporal patterns during an ontogenetic migration on the Patagonian Shelf

(2021) Brendon Lee et al.   ESTUARINE COASTAL AND SHELF SCIENCE

Estimating fine‐scale movement rates and habitat preferences using multiple data sources

(2021) James T. Thorson et al.   FISH AND FISHERIES

Accounting for spatial dependence improves relative abundance estimates in a benthic marine species structured as a metapopulation

(2021) Joaquin Cavieres et al.   FISHERIES RESEARCH

A gaussian field approach to generating spatial age length keys

(2021) Jonathan Babyn et al.   FISHERIES RESEARCH

Predicting abundance indices in areas without coverage with a latent spatio-temporal Gaussian model

(2021) Olav Nikolai Breivik et al.   ICES JOURNAL OF MARINE SCIENCE

Estimating ambient air pollutant levels in Suzhou through the SPDE approach with R-INLA

(2021) Neil Wright et al.   INTERNATIONAL JOURNAL OF HYGIENE AND ENVIRONMENTAL HEALTH

Early life growth is affecting timing of spawning in the semelparous Barents Sea capelin (Mallotus villosus)

(2021) Florian Berg et al.   PROGRESS IN OCEANOGRAPHY

Spatio-temporal analysis of fire occurrence in Australia

(2021) Fernanda Valente et al.   STOCHASTIC ENVIRONMENTAL RESEARCH AND RISK ASSESSMENT

Maps and metrics of insecticide-treated net access, use, and nets-per-capita in Africa from 2000-2020

(2021) Amelia Bertozzi-Villa et al.   Nature Communications

Coral distribution and bleaching vulnerability areas in Southwestern Atlantic under ocean warming

(2021) Jessica Bleuel et al.   Scientific Reports

Isotopic niche variation in Tasmanian devils Sarcophilus harrisii with progression of devil facial tumor disease

(2021) Olivia Bell et al.   Ecology and Evolution

Empirical analyses of the factors influencing fire severity in southeastern Australia

(2021) David Lindenmayer et al.   Ecosphere

Joint Modeling of Genetics and Field Variation in Plant Breeding Trials Using Relationship and Different Spatial Methods: A Simulation Study of Accuracy and Bias

(2021) Éder David Borges da Silva et al.   Agronomy-Basel

Geostatistical analysis, web-based mapping, and environmental determinants of under-5 stunting: evidence from the 2014 Ghana Demographic and Health Survey

(2021) Justice Moses K Aheto et al.   Lancet Planetary Health

Firm Location: A Spatial Point Process Approach

(2021) Adriano Barasal Morales et al.   Applied Spatial Analysis and Policy

A Bayesian Model for Estimating the Effects of Human Disturbance on Wildlife Habitats Based on Nighttime Light Data and INLA-SPDE

(2021) Changbai Xi et al.   Applied Spatial Analysis and Policy

The success of the invasive macrophyte Hydrilla verticillata and its interactions with the native Egeria najas in response to environmental factors and plant abundance in a subtropical reservoir

(2021) Fernanda Moreira Florêncio et al.   AQUATIC BOTANY

Gaussian Markov random fields improve ensemble predictions of daily 1 km PM2.5 and PM10 across France

(2021) Ian Hough et al.   ATMOSPHERIC ENVIRONMENT

Stochastic modeling of geometrical uncertainties on complex domains, with application to additive manufacturing and brain interface geometries

(2021) Hao Zhang et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Club convergence in European housing prices: The role of macroeconomic and housing market fundamentals

(2021) Laia Maynou et al.   ECONOMIC MODELLING

Deformed SPDE models with an application to spatial modeling of significant wave height

(2020) Anders Hildeman et al.   Spatial Statistics

The EUSTACE project: delivering global, daily information on surface air temperature

(2020) Nick A. Rayner et al.   BULLETIN OF THE AMERICAN METEOROLOGICAL SOCIETY

Highly Scalable Bayesian Geostatistical Modeling via Meshed Gaussian Processes on Partitioned Domains

(2020) Michele Peruzzi et al.   JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION

Linear mixed effects models for non‐Gaussian continuous repeated measurement data

(2020) Özgür Asar et al.   JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES C-APPLIED STATISTICS

Regularity and convergence analysis in Sobolev and Hölder spaces for generalized Whittle–Matérn fields

(2020) Sonja G. Cox et al.   NUMERISCHE MATHEMATIK

Non-stationary Gaussian models with physical barriers

(2019) Haakon Bakka et al.   Spatial Statistics

inlabru: an R package for Bayesian spatial modelling from ecological survey data

(2019) Fabian E. Bachl et al.   Methods in Ecology and Evolution

A Bayesian General Linear Modeling Approach to Cortical Surface fMRI Data Analysis

(2019) Amanda F. Mejia et al.   JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION

Understanding the Stochastic Partial Differential Equation Approach to Smoothing

(2019) David L. Miller et al.   JOURNAL OF AGRICULTURAL BIOLOGICAL AND ENVIRONMENTAL STATISTICS

The rational SPDE approach for Gaussian random fields with general smoothness

(2019) David Bolin et al.   JOURNAL OF COMPUTATIONAL AND GRAPHICAL STATISTICS

Hilbert space methods for reduced-rank Gaussian process regression

(2019) Arno Solin et al.   STATISTICS AND COMPUTING

Multilevel Approximation of Gaussian Random Fields: Fast Simulation

(2019) Lukas Herrmann et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Probabilistic Interpolation of Uncertain Local Activation Times on Human Atrial Manifolds

(2019) Sam Coveney et al.   IEEE TRANSACTIONS ON BIOMEDICAL ENGINEERING

Multivariate type G Matérn stochastic partial differential equation random fields

(2019) David Bolin et al.   JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY

Bayesian analysis of spatial generalized linear mixed models with Laplace moving average random fields

(2019) Adam Walder et al.   COMPUTATIONAL STATISTICS & DATA ANALYSIS

Constructing Priors that Penalize the Complexity of Gaussian Random Fields

(2018) Geir-Arne Fuglstad et al.   JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION

Prediction of diffusive transport through polymer films from characteristics of the pore geometry

(2018) Sandra Barman et al.   AICHE JOURNAL

Weak convergence of Galerkin approximations for fractional elliptic stochastic PDEs with spatial white noise

(2018) David Bolin et al.   BIT NUMERICAL MATHEMATICS

An approximate fractional Gaussian noise model with O(n) computational cost

(2018) Sigrunn H. Sørbye et al.   STATISTICS AND COMPUTING

A three-dimensional statistical model for imaged microstructures of porous polymer films

(2017) S. BARMAN et al.   JOURNAL OF MICROSCOPY

A Multi-Resolution Approximation for Massive Spatial Datasets

(2017) Matthias Katzfuss   JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION

Sparse Approximations of Fractional Matérn Fields

(2017) Lassi Roininen et al.   SCANDINAVIAN JOURNAL OF STATISTICS

Penalising Model Component Complexity: A Principled, Practical Approach to Constructing Priors

(2017) Daniel Simpson et al.   STATISTICAL SCIENCE

Bayesian Computing with INLA: A Review

(2017) Håvard Rue et al.   Annual Review of Statistics and Its Application

Going off grid: computationally efficient inference for log-Gaussian Cox processes

(2016) D. Simpson et al.   BIOMETRIKA

Efficient Spatial Modeling Using the SPDE Approach With Bivariate Splines

(2016) Xiaoyu Liu et al.   JOURNAL OF COMPUTATIONAL AND GRAPHICAL STATISTICS

Isotropic covariance functions on spheres: Some properties and modeling considerations

(2016) Joseph Guinness et al.   JOURNAL OF MULTIVARIATE ANALYSIS

Hierarchical Nearest-Neighbor Gaussian Process Models for Large Geostatistical Datasets

(2016) Abhirup Datta et al.   JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION

Spatio-Temporal Covariance and Cross-Covariance Functions of the Great Circle Distance on a Sphere

(2016) Emilio Porcu et al.   JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION

Cluster failure: Why fMRI inferences for spatial extent have inflated false-positive rates

(2016) Anders Eklund et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Practical Bayesian model evaluation using leave-one-out cross-validation and WAIC

(2016) Aki Vehtari et al.   STATISTICS AND COMPUTING

Isotropic Gaussian random fields on the sphere: Regularity, fast simulation and stochastic partial differential equations

(2015) Annika Lang et al.   ANNALS OF APPLIED PROBABILITY

Bayesian Spatial Modelling withR-INLA

(2015) Finn Lindgren et al.   Journal of Statistical Software

Bayesian spatial modelling for high dimensional seismic inverse problems

(2015) Ran Zhang et al.   JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES C-APPLIED STATISTICS

Numerical approximation of fractional powers of elliptic operators

(2015) Andrea Bonito et al.   MATHEMATICS OF COMPUTATION

The effect of malaria control on Plasmodium falciparum in Africa between 2000 and 2015

(2015) S. Bhatt et al.   NATURE

Geostatistical Modelling Using Non-Gaussian Matérn Fields

(2015) Jonas Wallin et al.   SCANDINAVIAN JOURNAL OF STATISTICS

Does non-stationary spatial data always require non-stationary random fields?

(2015) Geir-Arne Fuglstad et al.   Spatial Statistics

Whittle-Matérn priors for Bayesian statistical inversion with applications in electrical impedance tomography

(2014) Sari Lasanen et al.   Inverse Problems and Imaging

Bayesian computing with INLA: New features

(2013) Thiago G. Martins et al.   COMPUTATIONAL STATISTICS & DATA ANALYSIS

Spatiotemporal Learning via Infinite-Dimensional Bayesian Filtering and Smoothing: A Look at Gaussian Process Regression Through Kalman Filtering

(2013) Simo Sarkka et al.   IEEE SIGNAL PROCESSING MAGAZINE

Spatial spline regression models

(2013) Laura M. Sangalli et al.   JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY

Spatial Matérn Fields Driven by Non-Gaussian Noise

(2013) David Bolin   SCANDINAVIAN JOURNAL OF STATISTICS

Spatial models with explanatory variables in the dependence structure

(2013) Rikke Ingebrigtsen et al.   Spatial Statistics

Spatio-temporal modeling of particulate matter concentration through the SPDE approach

(2012) Michela Cameletti et al.   AStA-Advances in Statistical Analysis

A comparison between Markov approximations and other methods for large spatial data sets

(2012) David Bolin et al.   COMPUTATIONAL STATISTICS & DATA ANALYSIS

FreeSurfer

(2012) Bruce Fischl   NEUROIMAGE

Think continuous: Markovian Gaussian models in spatial statistics

(2012) Daniel Simpson et al.   Spatial Statistics

Spatial models generated by nested stochastic partial differential equations, with an application to global ozone mapping

(2011) David Bolin et al.   Annals of Applied Statistics

In order to make spatial statistics computationally feasible, we need to forget about the covariance function

(2011) Daniel Simpson et al.   ENVIRONMETRICS

An explicit link between Gaussian fields and Gaussian Markov random fields: the stochastic partial differential equation approach

(2011) Finn Lindgren et al.   JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY

Approximate Bayesian inference for latent Gaussian models by using integrated nested Laplace approximations

(2009) Håvard Rue et al.   JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY

On the Second-Order Random Walk Model for Irregular Locations

(2008) FINN LINDGREN et al.   SCANDINAVIAN JOURNAL OF STATISTICS