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:

Continuous distribution supported on the whole real line:

Gaussian
Skew-Gaussian
Student T
Logistic
Sinh-arcsinh
Two-piece

Positive continuous distributions:

Gamma
Weibull
LogGaussian
LogLogistic

Discrete distributions:

Binomial
Negative binomial
Poisson

Circular distributions:

Wrapped-Gaussian

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
Estimation methods:

Composite likelihood based on pairs (optional parallel computation with OpenCL)
Full likelihood (when feasible)

Optimal (local) linear prediction (kriging)

Tutorials and Examples

Spatial Data

Distribution	Description	Link	Code
Gaussian	Analysis of spatial data using a flexible compactly supported covariance model	Link	Wend_Matern.R
Gaussian	Analysis of global spatial data on the planet Earth using Gaussian random fields	Link	gausphere.R
Skew-Gaussian	Analysis of asymmetric spatial data using skew-Gaussian random fields	Link	skewg.R
t	Analysis of heavy tails spatial data using t random fields	Link	t.R
Tukey-h	Analysis of heavy tails spatial data using tukey-h random fields	Link	tukey.R
Weibull	Analysis of positive spatial data using Weibull random fields	Link	weibull.R
Log-Gaussian	Analysis of positive spatial data using Log-Gaussian random fields	Link	loggausssian.R
Poisson	Analysis of spatial count data using Poisson random fields	Link	poisson.R
Binomial	Analysis of spatial discrete data using Binomial random fields	Link	binomial.R

SpatioTemporal Data

Distribution	Description	Link	Code
Gaussian	Analysis of spatio-temporal data using Gaussian random fields	Link	ST.R
Gaussian	Analysis of spatio-temporal data with spatial locations changing over time	Link	ST_dyn.R

Spatial bivariate Data

Distribution	Description	Link	Code
Gaussian	Analysis of bivariate spatial data using bivariate Gaussian random fields	Link	biv.R

Real data analysis

Distribution	Description	Link	Code
Skew-Gaussian	Analysis of spatial precipitation anomalies using Gaussian and skew Gaussian random fields	Link	anomalies.R
t	Analysis of maximum temperature of Australia using t random fields	Link	austr.R

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

Installation Instructions

Option 1: CRAN version

Our cross-platform version can be found at CRAN: GeoModels package. You can install it with: install.packages("GeoModels")

Option 2: Developer

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:


                            install.packages("devtools")

                            library(devtools)

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,


                            install_github("vmoprojs/GeoModels", quiet = TRUE)

                            library(GeoModels)

and you are good to go.

A word of caution though. In Windows, make sure RTools is installed in order to build packages. Rtools must be compatible with your current R version. This usually happens with Rtools latest release (which is Rtools.35.exe today), you can download Rtools from here. Also, we have lately received some issues regarding devtools since the last release has a slight problem. To avoid this, install version 1.13.6 that you can find here

The OpenCL GeoModels version is currently supported for OSX (Sierra and Mojave).

All OpenCL code has been tested on Intel(R) Core(TM) i7-4980HQ CPU @ 2.80GHz. We are currently developing the OpenCL GeoModels version to work in any operating system and debbuging it for other graphics cards. It is installed with this code:


                            install_github("vmoprojs/GeoModels-OCL", quiet = TRUE)

                            library(GeoModels)

Notice that in Apple, XCode must be also installed required headers are installed. We also recommend to install gpuR package and try an example from that package so that OpenCL headers are tested. Installation instructions are in this link.

Publications

Associated publications:

Morales-Navarrete D., Bevilacqua M., Caamaño C., Castro L.M. (2022) Modelling Point Referenced Spatial Count Data: A Poisson Process Approach. Journal of the American Statistical Association. Accepted 10.1080/01621459.2022.2140053
Caamaño-Carrillo C, Bevilacqua M, López C, Morales-Oñate V (2022) Nearest neighbours weighted composite likelihood based on pairs for (non-)Gaussian massive spatial data with an application to Tukey-hh random fields estimation Research Square. 10.21203/rs.3.rs-2073895/v1
Blasi F., Caamaño C., Bevilacqua M., Furrer R. (2022) A selective view of climatological data and likelihood estimation Spatial Statistics . 10.1016/j.spasta.2022.100596
Bevilacqua M., Caamaño C., Porcu E. (2022) Unifying Compactly Supported and Matern Covariance Functions in Spatial Statistics Journal of Multivariate Analysis. 10.1016/j.jmva.2022.104949
Bevilacqua M., Caamaño C., Arellano-Valle R. B., Camilo Gomez C. (2022) A class of random fields with two-piece marginal distributions for modeling point-referenced data with spatial outliers. Test. DOI: 10.1007/s11749-021-00797-5
Bevilacqua, M., C. Caamano, and C. Gaetan (2020). On modelling positive continuous data with spatio-temporal dependence. Environmetrics. 31(7).
Bevilacqua, M., C. Caamano, R. B. A. Valle, and V. Morales-Oñate (2019). On Spatial (Skew) t Processes and Applications. Scandinavian Journal of Statistics. 48, 212– 245.
Bevilacqua, M., T. Faouzi, R. Furrer, and E. Porcu (2019). Estimation and prediction using generalized Wendland covariance function under fixed domain asymptotics. The Annals of Statistics. 47(2) 828–856 Annals of Statistics.
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
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.
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
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. 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.

Package Citation

Once you have installed GeoModels, you can have a BibTex citation with citation("GeoModels") and get:


                            To cite package ‘GeoModels’ in publications use:


                            
                            Bevilacqua M, Morales-Oñate V, Caamaño-Carrillo C (2024). _GeoModels:

                            Procedures for Gaussian and Non Gaussian Geostatistical (Large) Data

                            Analysis_. R package version 2.0.1,
                            https://CRAN.R-project.org/package=GeoModels.


                            
                            A BibTeX entry for LaTeX users is

                            
                            @Manual{GM2024,

                            title = {GeoModels: Procedures for Gaussian and Non Gaussian Geostatistical (Large)
                            Data Analysis},

                            author = {Moreno Bevilacqua and Víctor Morales-Oñate and Christian Caamaño-Carrillo},

                            year = {2024},

                            note = {R package version 2.0.1},

                            url = {https://CRAN.R-project.org/package=GeoModels},

                            }

About the authors

Moreno Bevilacqua

Chile

Moreno Bevilacqua is an Associate Professor at the Faculty of Engineering and Science of Adolfo Ibañez University in Viña del Mar (Chile) from August 2020. He worked at the Statistics Department of University of Valparaiso (Chile) 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.

Personal site

Víctor Morales-Oñate

Pelileo-Ecuador

Víctor received his PhD in Statistics from Universidad de Valparaíso-Chile in 2018. His main research interests concern computational spatial (temporal) geostatistics applications.
Other interests include data analytics in business, machine learning, quantitative economy and philosophy, particularly, Bertrand Russell's political ideas.

Personal site

Christian Caamaño-Carrillo

Concepción-Chile

Christian Caamaño-Carrillo is an Assistant Professor at the Statistics Department of Universidad del Bío-Bío from 2013. He received his PhD in Statistics from Universidad de Valparaíso in 2018 and his Master's in Statistics in 2012.
His main research interests concern theory, methodology and applications in space-time statistics for non-Gaussian data.

Personal site

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