Welcome to GeoModels
The GeoModels package provides a set of procedures for simulation, estimation and prediction of spatio-temporal random fields.
The main features of the package are:
The type of data that can be modeled are:
- spatial data
- space time data with spatial location sites possibly changing over time
- bivariate spatial data with (possibly different) spatial location sites
Data can be defined on euclidean space or on a sphere of arbitrary radius
The random fields can have the following marginal distributions:
- Student T
- Negative binomial
- Wrapped-Gaussian for directional data
Parametric models for both regression and dependence analysis through covariance models
Parametric (bivariate) spatial and spatiotemporal covariance models, including Matern, Generalized Wendland, Gneiting model, bivariate Matern
- Pairwise likelihood (optional parallel computation with OpenCL)
- Full likelihood (when feasible)
Optimal (linear) prediction
Tutorials and Examples
|Weibull||Analysis of positive spatial data using Weibull random fields||Link|
|Skew-Gaussian||Analysis of asymmetric spatial data using skew-Gaussian random fields||Link|
|Gaussian||Analysis of global spatial data on the planet Earth using Gaussian random fields||Link|
|Gaussian||Analysis of (large) spatio-temporal data using Gaussian random fields||Link|
Resources and Download
Latest binaries and sources for GeoModels are availables from GitHub repository:
- GeoModels Package sources for any platform
- GeoModels OpenCL for OX only
- Reference Manual
- Bugs report
We currently are loaded in Github only. This means that for
GeoModels installation you will need to previously install
devtools package if you do not have it installed yet:
devtools lets you install packages from github since they need to be installed from source code.
We have developed two GeoModels version, one standard version and one that uses the
OpenCL framework for parallel computing. The standard version can be installed in any operating system: Windows, OSX and Linux,
and you are good to go.The OpenCL
GeoModelsversion is currently supported for OSX only. It is installed with this code:
- Alegria, A., S. Caro, M. Bevilacqua, E. Porcu, and J. Clarke (2017). Estimating covariance functions of multivariate skew-gaussian random fields on the sphere. Spatial Statistics 22, 388 – 402
- Bevilacqua, M., C. Caamano, and C. Gaetan (2018). On modelling positive continuous data with spatio-temporal dependence. ArXiv e-prints.
- Bevilacqua, M., T. Faouzi, R. Furrer, and E. Porcu (2018). Estimation and prediction using generalized Wendland functions under fixed domain asymptotics. The Annals of Statistics. To appear.
- Bevilacqua, M. and C. Gaetan (2015). Comparing composite likelihood methods based on pairs for spatial Gaussian random fields. Statistics and Computing 25, 877–892.
- Bevilacqua, M., C. Gaetan, J. Mateu, and E. Porcu (2012). Estimating space and space- time covariance functions for large data sets: a weighted composite likelihood approach. Journal of the American Statistical Association 107, 268–280
- Zhang, H. and A. El-Shaarawi (2010). On spatial skew-Gaussian processes and applications. Environmetrics 21(1), 33–47.
- Bevilacqua , M., Vallejos, R. and Velandia D. (2015). Assessing the significance of the correlation between the components of a bivariate Gaussian random field. Environmetrics. 26(8), 545-556.
- Bevilacqua M., Alegria A., Velandia D.,Porcu E. (2016) Composite likelihood inference for multivariate Gaussian random fields. Journal of Agricultural Biological and Environmental Statistics. 21(3), 448-469
- Alegria A., Bevilacqua, M., Porcu, E. (2016) Likelihood-based inference for multivariate space-time wrapped-Gaussian fields. Journal of Statistical Computation and Simulation. 86(13) 2583-2597.
Once you have installed
GeoModels, you can have a BibTex citation with
citation("GeoModels") and get:
About the authors
Moreno Bevilacqua is an Associate Professor at the Statistics Department of University of Valparaiso from August 2012. He has carried out research as: a post-doc at the Department of Statistics, University Ca' Foscari of Venice from May 2008 to December 2010, a research fellow at the University of Bergamo from January 2011 to July 2012.
He received his PhD in Statistics in 2008 and his Degree in Statistics in 2001 from the University of Padua. His main research interests concern theory, methodology and applications in multivariate spatio-temporal statistics.
Víctor is a PhD candidate of the statistics programme at the University of Valparaíso. His main research interests concern computational spatial (temporal) geostatistics applications.
Other interests include cuantitative economy, fraud detection models, clustering and philosophy, particularly, Bertrand Russell's political ideas.