Geir-Arne Fuglstad
About
Professor in statistics at the Department of Mathematical Sciences, and leader for the study specialization Industrial Mathematics in the study programme Applied Physics and Mathematics.
Research
Interests
My main interests lie in spatio-temporal statistics and computational statistics. In particular, the use of stochastic partial differential equation (SPDE) models for fast computations with spatio-temporal processes. I am interested in applications in a wide range of scientific fields from epidemiology and demography to physical sciences.
Projects
IMod (Partial differential equations, statistics and data: An interdisciplinary approach to data-based modelling) This is an inter-disciplinary project building collaboration between statistics, partial differential equations, numerics, neuroscience, and fluid mechanics. The project started in autumn 2022.
MASCOT (Maritime Autonomous Sampling and Control). This is an inter-disciplinary project that aims to develop and design observational strategies in spatio-temporal domains, enabling autonomous platforms to decide on a strategy of where and when to make measurements to increase our knowledge of dynamic environments like the upper water-column. The project started in autumn 2020.
I'm involved in the development of the R-package SUMMER (Spatio-Temporal Under-Five Mortality Methods for Estimation), where the target is to take advantage of complex, but easy-to-use and computationally efficient methods for subnational mapping of under-five mortality in low- and medium-income countries. This work is lead by Jon Wakefield at the University of Washington, Seattle, USA. The methods and software were used to produce official subnational under-five mortality estimates for 1990-2019 in close coordination with the United Nations Inter-agency Group for Mortality Estimation (UN IGME).
Preprints
- Martin Outzen Berlid, and Geir-Arne Fuglstad. (2024). Non-stationary Spatio-Temporal Modeling Using the Stochastic Advection-Diffusion Equation. (arXiv preprint)
- John Paige, Geir-Arne Fuglstad, and Andrea Riebler. (2024). A joint model for DHS and MICS surveys: Spatial modeling with anonymized locations. (arXiv preprint)
- Umut Altay, John Paige, Andrea Riebler, and Geir-Arne Fuglstad. (2022). Accounting for Spatial Anonymization in DHS Household Surveys. (arXiv preprint)
- Geir-Arne Fuglstad, Zehang Richard Li, and Jon Wakefield. (2021). The Two Cultures for Prevalence Mapping: Small Area Estimation and Spatial Statistics. (arXiv preprint)
- Zehang Richard Li, Bryan D Martin, Tracy Qi Dong, Geir-Arne Fuglstad, John Paige, Andrea Riebler, Samuel Clark, and Jon Wakefield. (2020). Space-Time Smoothing of Demographic and Health Indicators using the R Package SUMMER. (arXiv preprint)
PhD students
I am currently the main supervisor of two PhD students:
- Øyvind Auestad (2022--): Working in the interface between statistics, PDEs and SPDEs.
- Martin Outzen Berild (2020--): "Modeling complex dependence structures in space and time using SPDEs".
I am currently the co-supervisor of three PhD students:
- Daniel Kjellevold (2023--): Working in the interface of spatial statistics and fluid mechanics
- Simen Furset (2023--): Working in the interface between statistics and numerical analysis
- Karina Lilleborge (2022--): Working on traffic analysis and spatio-temporal models on graphs.
Additional details
See here for more details.
IMod: Partial differential equations, statistics and data: An interdisciplinary approach to data-based modelling
MASCOT: Maritime Autonomous Sampling and Control
Publications
2024
-
Altay, Umut;
Paige, John;
Riebler, Andrea Ingeborg;
Fuglstad, Geir-Arne.
(2024)
Impact of jittering on raster- and distance-based geostatistical analyses of DHS data.
Statistical Modelling
Academic article
-
Altay, Umut;
Paige, John Leonard;
Riebler, Andrea Ingeborg;
Fuglstad, Geir-Arne.
(2024)
GeoAdjust: Adjusting for Positional
Uncertainty in Geostatistial Analysis of
DHS Data.
The R Journal
Academic article
-
Hem, Ingeborg;
Fuglstad, Geir-Arne;
Riebler, Andrea Ingeborg.
(2024)
makemyprior: Intuitive Construction of Joint Priors for Variance Parameters in R.
Journal of Statistical Software
Academic article
-
Berild, Martin Outzen;
Fuglstad, Geir-Arne.
(2024)
Non-stationary Spatio-Temporal Modeling Using the Stochastic Advection-Diffusion Equation.
Spatial Statistics
Academic article
2023
-
Berild, Martin Outzen;
Fuglstad, Geir-Arne.
(2023)
Spatially varying anisotropy for Gaussian random fields in three-dimensional space.
Spatial Statistics
Academic article
-
Zhang, Jiachen;
Bonas, Matthew;
Bolster, Diogo;
Fuglstad, Geir-Arne;
Castruccio, Stefano.
(2023)
High-resolution global precipitation downscaling with latent Gaussian models and non-stationary stochastic partial differential equation structure.
The Journal of the Royal Statistical Society, Series C (Applied Statistics)
Academic article
-
Berild, Martin Outzen;
Ge, Yaolin;
Eidsvik, Jo;
Fuglstad, Geir-Arne;
Ellingsen, Ingrid Helene.
(2023)
Efficient 3D real-time adaptive AUV sampling of a river plume front.
Frontiers in Marine Science
Academic article
2022
-
Hu, Wenjing;
Fuglstad, Geir-Arne;
Castruccio, Stefano.
(2022)
A stochastic locally diffusive model with neural network-based deformations for global sea surface temperature.
Stat
Academic article
-
Paige, John;
Fuglstad, Geir-Arne;
Riebler, Andrea Ingeborg;
Wakefield, Jon.
(2022)
Bayesian multiresolution modeling of georeferenced data: An extension of ‘LatticeKrig’.
Computational Statistics & Data Analysis
Academic article
-
Paige, John;
Fuglstad, Geir-Arne;
Riebler, Andrea Ingeborg;
Wakefield, Jon.
(2022)
Spatial aggregation with respect to a population distribution: Impact on inference.
Spatial Statistics
Academic article
2021
-
Wu, Yunhan;
Li, Zehang Richard;
Mayala, Benjamin K.;
Wang, Houjie;
Gao, Peter;
Paige, John.
(2021)
Spatial Modeling for Subnational Administrative Level 2 Small-Area Estimation.
ICF
Report
-
Hem, Ingeborg Gullikstad;
Selle, Maria;
Gorjanc, Gregor;
Fuglstad, Geir-Arne;
Riebler, Andrea Ingeborg.
(2021)
Robust Modelling of Additive and Non-additive Variation with Intuitive Inclusion of Expert Knowledge.
Genetics
Academic article
2020
-
Fuglstad, Geir-Arne;
Castruccio, Stefano.
(2020)
Compression of Climate Simulations with a Nonstationary Global Spatio-Temporal SPDE Model.
Annals of Applied Statistics
Academic article
-
Fuglstad, Geir-Arne;
Hem, Ingeborg Gullikstad;
Knight, Alexander;
Rue, Håvard;
Riebler, Andrea Ingeborg.
(2020)
Intuitive Joint Priors for Variance Parameters.
Bayesian Analysis
Academic article
-
Huang, Bo;
Hu, Xiangping;
Fuglstad, Geir-Arne;
Zhou, Xu;
Zhao, Wenwu;
Cherubini, Francesco.
(2020)
Predominant regional biophysical cooling from recent land cover changes in Europe.
Nature Communications
Academic article
-
Paige, John;
Fuglstad, Geir-Arne;
Riebler, Andrea Ingeborg;
Wakefield, Jon.
(2020)
Design- and Model-Based Approaches to Small-Area Estimation in a Low- and Middle-Income Country Context: Comparisons and Recommendations.
Journal of Survey Statistics and Methodology
Academic article
2019
-
Fuglstad, Geir-Arne;
Simpson, Daniel;
Lindgren, Finn;
Rue, Håvard.
(2019)
Constructing Priors that Penalize the Complexity of Gaussian Random Fields.
Journal of the American Statistical Association
Academic article
-
Wakefield, Jon;
Fuglstad, Geir-Arne;
Riebler, Andrea Ingeborg;
Godwin, Jessica;
Wilson, Katie;
Clark, Samuel J..
(2019)
Estimating under-five mortality in space and time in a developing world context.
Statistical Methods in Medical Research
Academic article
2018
-
Bakka, Haakon;
Rue, Håvard;
Fuglstad, Geir-Arne;
Riebler, Andrea Ingeborg;
Bolin, David;
Illian, Janine B..
(2018)
Spatial modelling with R-INLA: A review.
Wiley Interdisciplinary Reviews: Computational Statistics
Academic literature review
-
Fuglstad, Geir-Arne;
Julien, Beguin.
(2018)
Environmental mapping using Bayesian spatial modelling (INLA/SPDE): A reply to Huang et al. (2017).
Science of the Total Environment
Letter to the editor
2017
-
Beguin, Julien;
Fuglstad, Geir-Arne;
Mansuy, Nicolas;
Pare, David.
(2017)
Predicting soil properties in the Canadian boreal forest with limited data: Comparison of spatial and non-spatial statistical approaches.
Geoderma
Academic article
2016
-
Kinyoki, Damaris K.;
Kandala, Ngianga-Bakwin;
Manda, Samuel O.;
Krainski, Elias Teixeira;
Fuglstad, Geir-Arne;
Moloney, Grainne M..
(2016)
Assessing comorbidity and correlates of wasting and stunting among children in Somalia using cross-sectional household surveys: 2007 to 2010.
BMJ Open
Academic literature review
-
Norman, Anita J.;
Stronen, Astrid V.;
Fuglstad, Geir-Arne;
Ruiz-Gonzalez, Aritz;
Kindberg, Jonas;
Street, Nathaniel R..
(2016)
Landscape relatedness: detecting contemporary fine-scale
spatial structure in wild populations.
Landscape Ecology
Academic article
2015
-
Fuglstad, Geir-Arne;
Simpson, Daniel Peter;
Lindgren, Finn Kristian;
Rue, Håvard.
(2015)
Does non-stationary spatial data always require non-stationary random fields?.
Spatial Statistics
Academic article
-
Fuglstad, Geir-Arne;
Simpson, Daniel Peter;
Lindgren, Finn Kristian;
Rue, Håvard.
(2015)
Exploring a new class of non-stationary spatial Gaussian random fields with varying local anisotropy.
Statistica sinica
Academic article
Journal publications
-
Altay, Umut;
Paige, John;
Riebler, Andrea Ingeborg;
Fuglstad, Geir-Arne.
(2024)
Impact of jittering on raster- and distance-based geostatistical analyses of DHS data.
Statistical Modelling
Academic article
-
Altay, Umut;
Paige, John Leonard;
Riebler, Andrea Ingeborg;
Fuglstad, Geir-Arne.
(2024)
GeoAdjust: Adjusting for Positional
Uncertainty in Geostatistial Analysis of
DHS Data.
The R Journal
Academic article
-
Hem, Ingeborg;
Fuglstad, Geir-Arne;
Riebler, Andrea Ingeborg.
(2024)
makemyprior: Intuitive Construction of Joint Priors for Variance Parameters in R.
Journal of Statistical Software
Academic article
-
Berild, Martin Outzen;
Fuglstad, Geir-Arne.
(2024)
Non-stationary Spatio-Temporal Modeling Using the Stochastic Advection-Diffusion Equation.
Spatial Statistics
Academic article
-
Berild, Martin Outzen;
Fuglstad, Geir-Arne.
(2023)
Spatially varying anisotropy for Gaussian random fields in three-dimensional space.
Spatial Statistics
Academic article
-
Zhang, Jiachen;
Bonas, Matthew;
Bolster, Diogo;
Fuglstad, Geir-Arne;
Castruccio, Stefano.
(2023)
High-resolution global precipitation downscaling with latent Gaussian models and non-stationary stochastic partial differential equation structure.
The Journal of the Royal Statistical Society, Series C (Applied Statistics)
Academic article
-
Berild, Martin Outzen;
Ge, Yaolin;
Eidsvik, Jo;
Fuglstad, Geir-Arne;
Ellingsen, Ingrid Helene.
(2023)
Efficient 3D real-time adaptive AUV sampling of a river plume front.
Frontiers in Marine Science
Academic article
-
Hu, Wenjing;
Fuglstad, Geir-Arne;
Castruccio, Stefano.
(2022)
A stochastic locally diffusive model with neural network-based deformations for global sea surface temperature.
Stat
Academic article
-
Paige, John;
Fuglstad, Geir-Arne;
Riebler, Andrea Ingeborg;
Wakefield, Jon.
(2022)
Bayesian multiresolution modeling of georeferenced data: An extension of ‘LatticeKrig’.
Computational Statistics & Data Analysis
Academic article
-
Paige, John;
Fuglstad, Geir-Arne;
Riebler, Andrea Ingeborg;
Wakefield, Jon.
(2022)
Spatial aggregation with respect to a population distribution: Impact on inference.
Spatial Statistics
Academic article
-
Hem, Ingeborg Gullikstad;
Selle, Maria;
Gorjanc, Gregor;
Fuglstad, Geir-Arne;
Riebler, Andrea Ingeborg.
(2021)
Robust Modelling of Additive and Non-additive Variation with Intuitive Inclusion of Expert Knowledge.
Genetics
Academic article
-
Fuglstad, Geir-Arne;
Castruccio, Stefano.
(2020)
Compression of Climate Simulations with a Nonstationary Global Spatio-Temporal SPDE Model.
Annals of Applied Statistics
Academic article
-
Fuglstad, Geir-Arne;
Hem, Ingeborg Gullikstad;
Knight, Alexander;
Rue, Håvard;
Riebler, Andrea Ingeborg.
(2020)
Intuitive Joint Priors for Variance Parameters.
Bayesian Analysis
Academic article
-
Huang, Bo;
Hu, Xiangping;
Fuglstad, Geir-Arne;
Zhou, Xu;
Zhao, Wenwu;
Cherubini, Francesco.
(2020)
Predominant regional biophysical cooling from recent land cover changes in Europe.
Nature Communications
Academic article
-
Paige, John;
Fuglstad, Geir-Arne;
Riebler, Andrea Ingeborg;
Wakefield, Jon.
(2020)
Design- and Model-Based Approaches to Small-Area Estimation in a Low- and Middle-Income Country Context: Comparisons and Recommendations.
Journal of Survey Statistics and Methodology
Academic article
-
Fuglstad, Geir-Arne;
Simpson, Daniel;
Lindgren, Finn;
Rue, Håvard.
(2019)
Constructing Priors that Penalize the Complexity of Gaussian Random Fields.
Journal of the American Statistical Association
Academic article
-
Wakefield, Jon;
Fuglstad, Geir-Arne;
Riebler, Andrea Ingeborg;
Godwin, Jessica;
Wilson, Katie;
Clark, Samuel J..
(2019)
Estimating under-five mortality in space and time in a developing world context.
Statistical Methods in Medical Research
Academic article
-
Bakka, Haakon;
Rue, Håvard;
Fuglstad, Geir-Arne;
Riebler, Andrea Ingeborg;
Bolin, David;
Illian, Janine B..
(2018)
Spatial modelling with R-INLA: A review.
Wiley Interdisciplinary Reviews: Computational Statistics
Academic literature review
-
Fuglstad, Geir-Arne;
Julien, Beguin.
(2018)
Environmental mapping using Bayesian spatial modelling (INLA/SPDE): A reply to Huang et al. (2017).
Science of the Total Environment
Letter to the editor
-
Beguin, Julien;
Fuglstad, Geir-Arne;
Mansuy, Nicolas;
Pare, David.
(2017)
Predicting soil properties in the Canadian boreal forest with limited data: Comparison of spatial and non-spatial statistical approaches.
Geoderma
Academic article
-
Kinyoki, Damaris K.;
Kandala, Ngianga-Bakwin;
Manda, Samuel O.;
Krainski, Elias Teixeira;
Fuglstad, Geir-Arne;
Moloney, Grainne M..
(2016)
Assessing comorbidity and correlates of wasting and stunting among children in Somalia using cross-sectional household surveys: 2007 to 2010.
BMJ Open
Academic literature review
-
Norman, Anita J.;
Stronen, Astrid V.;
Fuglstad, Geir-Arne;
Ruiz-Gonzalez, Aritz;
Kindberg, Jonas;
Street, Nathaniel R..
(2016)
Landscape relatedness: detecting contemporary fine-scale
spatial structure in wild populations.
Landscape Ecology
Academic article
-
Fuglstad, Geir-Arne;
Simpson, Daniel Peter;
Lindgren, Finn Kristian;
Rue, Håvard.
(2015)
Does non-stationary spatial data always require non-stationary random fields?.
Spatial Statistics
Academic article
-
Fuglstad, Geir-Arne;
Simpson, Daniel Peter;
Lindgren, Finn Kristian;
Rue, Håvard.
(2015)
Exploring a new class of non-stationary spatial Gaussian random fields with varying local anisotropy.
Statistica sinica
Academic article
Report
-
Wu, Yunhan;
Li, Zehang Richard;
Mayala, Benjamin K.;
Wang, Houjie;
Gao, Peter;
Paige, John.
(2021)
Spatial Modeling for Subnational Administrative Level 2 Small-Area Estimation.
ICF
Report
Teaching
Courses
- TMA4900 - Industrial Mathematics, Master's Thesis
- TMA4505 - Industrial Mathematics, Specialization Course
- TMA4500 - Industrial Mathematics, Specialization Project
- TMA4310 - Mathematical Subjects, Advanced Course
- TMA4250 - Spatial Statistics
Supervision
I supervise bachelor, project and master theses in statistics.
Knowledge Transfer
2024
-
Academic lectureFuglstad, Geir-Arne; Altay, Umut; Paige, John Leonard; Riebler, Andrea Ingeborg. (2024) Addressing Positional Anonymisation in Geostatistial Analyses of DHS Data. GeoMed 2024 2024-09-09 - 2024-09-11
2023
-
Academic lectureFuglstad, Geir-Arne; Berild, Martin Outzen. (2023) Spatially Varying Anisotropy in Three Dimensions with Applications to Adaptive Oceanographic Sampling. NORDSTAT 2023 2023-06-19 - 2023-06-22
-
Academic lectureFuglstad, Geir-Arne; Berild, Martin Outzen. (2023) Non-stationary Spatio-Temporal Modelling with Applications to Autonomous Sampling. Institute of Mathematical Statistics and Actuarial Science Colloqium , University of Bern 2023-11-03 - 2023-11-03
2022
-
Academic lectureFuglstad, Geir-Arne; Castruccio, Stefano. (2022) Non-stationary Global Spatio-Temporal Modelling Using SPDEs. Current Frontiers in Gaussian Processes 2022-08-24 - 2022-08-26
2021
-
Academic lectureFuglstad, Geir-Arne; Li, Zehang Richard; Wakefield, Jon. (2021) Spatio-Temporal Estimation of Demographic and Health Indicators From Household Surveys. ISBA 2021 World Meeting 2021-06-28 - 2021-07-02
-
Popular scientific lectureFuglstad, Geir-Arne. (2021) Regional barnedødelighet i Afrika – ingen skal utelates!. Researchers' Night 2021 , Trondheim 2021-09-24 - 2021-09-24
2019
-
Academic lectureFuglstad, Geir-Arne; Paige, Johnny; Riebler, Andrea Ingeborg; Wakefield, Jon. (2019) Disease mapping using complex survey data. GEOMED 2019 , Glasgow 2019-08-27 - 2019-08-29
2017
-
Academic lectureFuglstad, Geir-Arne. (2017) Sensitivity Analysis for Posteriors in INLA. King Abdullah University of Science and Technology Statistics Seminar 2017-05-01 - 2017-05-01
-
Academic lectureFuglstad, Geir-Arne. (2017) Sverdrup-foredrag: Spatial Non-stationarity with Varying Anisotropy. Norsk Statistisk Forening Det 19. Norske Statistikermøtet , Fredrikstad 2017-06-13 - 2017-06-15
2016
-
Academic lectureFuglstad, Geir-Arne. (2016) Constructing sensible priors for spatial fields. Smögen Workshop 2016 , Smögen 2016-08-15 - 2016-08-18
-
Academic lectureFuglstad, Geir-Arne. (2016) A New Prior that Penalises the Complexity of Stationary and Non-stationary Spatial Fields. Nordstat 2016 , København 2016-06-27 - 2016-06-30
-
PosterFuglstad, Geir-Arne. (2016) Penalised Complexity Priors for Gaussian Random Fields. ISBA 2016 World Meeting , Sardinia 2016-06-13 - 2016-06-17
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Academic lectureFuglstad, Geir-Arne; Rue, Håvard. (2016) Efficient posterior sensitivity calculations with INLA. Autumn meeting on latent Gaussian models 2016 , Trondheim 2016-11-10 - 2016-11-11