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GeoModels (version 2.2.1)

Procedures for Gaussian and Non Gaussian Geostatistical (Large) Data Analysis

Description

Functions for Gaussian and Non Gaussian (bivariate) spatial and spatio-temporal data analysis are provided for a) (fast) simulation of random fields, b) inference for random fields using standard likelihood and a likelihood approximation method called weighted composite likelihood based on pairs and b) prediction using (local) best linear unbiased prediction. Weighted composite likelihood can be very efficient for estimating massive datasets. Both regression and spatial (temporal) dependence analysis can be jointly performed. Flexible covariance models for spatial and spatial-temporal data on Euclidean domains and spheres are provided. There are also many useful functions for plotting and performing diagnostic analysis. Different non Gaussian random fields can be considered in the analysis. Among them, random fields with marginal distributions such as Skew-Gaussian, Student-t, Tukey-h, Sin-Arcsin, Two-piece, Weibull, Gamma, Log-Gaussian, Binomial, Negative Binomial and Poisson. See the URL for the papers associated with this package, as for instance, Bevilacqua and Gaetan (2015) , Bevilacqua et al. (2016) , Vallejos et al. (2020) , Bevilacqua et. al (2020) , Bevilacqua et. al (2021) , Bevilacqua et al. (2022) , Morales-Navarrete et al. (2023) , and a large class of examples and tutorials.

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Version

Install

install.packages('GeoModels')

Monthly Downloads

753

Version

2.2.1

License

GPL (>= 3)

Maintainer

Moreno Bevilacqua

Last Published

November 24th, 2025

Functions in GeoModels (2.2.1)

CompLik

Optimizes the Composite Log-likelihood
GeoCorrFct

Spatial and Spatio-temporal correlation or covariance of (non) Gaussian random fields
GeoFit2

Max-Likelihood-Based Fitting of Gaussian and non Gaussian RFs.
GeoCorrFct_Cop

Spatial and Spatio-temporal correlation or covariance of (non) Gaussian random fields (copula models)
GeoCovmatrix

Spatial and Spatio-temporal Covariance Matrix of (non-)Gaussian Random Fields
GeoKrigWeights

Compute kriging weights (and related quantities) for Gaussian / non-Gaussian spatial, spatio-temporal or multivariate random fields
GeoDistances

Compute Distance Matrices (Euclidean, Chordal, or Geodesic)
GeoDoScores

Computation of drop-one predictive scores
GeoCovariogram

Computes the fitted variogram model.
GeoKrig

Spatial (bivariate) and spatio temporal optimal linear prediction for Gaussian and non Gaussian random fields.
GeoFit

Max-Likelihood-Based Fitting of Gaussian and non Gaussian random fields.
GeoNeighbSelect

A brute force algorithm for spatial or spatiotemoral optimal neighboord selection for pairwise composite likelihood estimation.
GeoCovDisplay

Image plot displaying the pattern of the sparsness of a covariance matrix.
GeoPit

Probability integral or normal score tranformation
GeoQQ

Quantile-quantile plot
GeoNeighIndex

Spatial or spatiotemporal near neighbour indices.
GeoNA

Deleting NA values (missing values) from a spatial or spatio-temporal dataset.
GeoKriglocWeights

Compute kriging weights (and related quantities) for Gaussian / non-Gaussian spatial, spatio-temporal or multivariate random fields
GeoKrigloc

Spatial (bivariate) and spatio temporal optimal linear local prediction for Gaussian and non Gaussian RFs.
GeoNosymindices

GeoNosymindices.
GeoOutlier

Spatio (temporal) outliers detection
GeoNeighborhood

Spatio (temporal) neighborhood selection for local kriging.
GeoScores

Computation of predictive scores
GeoResiduals

Computes fitted covariance and/or variogram
GeoSimCopula

Simulation of Gaussian and non Gaussian Random Fields using copula.
GeoSim

Simulation of Gaussian and non Gaussian Random Fields.
GeoSimapprox

Fast simulation of Gaussian and non Gaussian Random Fields.
GeoScatterplot

h-scatterplot for space and space-time data.
GeoTests

Statistical Hypothesis Tests for Nested Models
GeoTestsupp_space

Parametric bootstrap test for spatial support (scale)
GeoSimcond

Conditional (fast) simulation of Gaussian and non Gaussian Random Fields.
GeoTestIsotropy

Parametric bootstrap test for isotropy
NuisParam2

Internal function handling Nuisance Parameters of a Random Field
SimCE

Circulant embeeding simulation
NuisParam

Lists the Nuisance Parameters of a Random Field
MatSqrt, MatInv, MatLogDet

Square root, inverse and log determinant of a (semi)positive definite matrix, given a matrix decomposition.
Lik

Optimizes the Log Likelihood
GeoVarestbootstrap

Update a GeoFit object using parametric bootstrap for std error estimation
GeoWLS

WLS of Random Fields
MatDecomp

Matrix decomposition
GeoVariogramDir

Empirical Directional Semivariogram
madagascartemp

July Average Temperature of Madagascar
StartParam

Initializes the Parameters for Estimation Procedures
plot.GeoCorrFct

Plot Spatial and Spatio-temporal correlation or covariance of (non) Gaussian random fields
WlsStart

Computes Starting Values based on Weighted Least Squares
GeoVariogram

Empirical semi-variogram estimation
plot.GeoVariogram

Plot empirical spatial, spatio-temporal and spatial bivariate semi-Variogram
spanish_wind

August monthly average wind speed in Spain between 1970-2000
winds

Irish Daily Wind Speeds
sp2Geo

Extracting information from an sp or spacetime object
winds.coords

Weather Stations of the Irish Daily Wind Speeds
getInvC

Utility function for kriging computation
austemp

Maximum Australian Temperature
plot.GeoVariogramDir

Plot empirical directional semi-variogram
CkType

Checking Likelihood Objects
corrsas

Correlation Function for Sinh-Arcsinh Random Fields
CheckSph

Checking if a covariance is valid only on the sphere
CorrelationPar

Lists the Parameters of a Correlation Model
CkInput

Checking Input
GeoAniso

Spatial Anisotropy correction
CkLikelihood

Checking Composite-likelihood Type
CompLik2

Optimizes the Composite log-likelihood
CheckDistance

Checking Distance Type
anomalies

Annual Precipitation Anomalies in the U.S.
CheckST

Checking SpaceTime covariance models
CkModel

Checking Random Field Type
Cubatemp

January monthly average temperature in Cuba between 1970-2000
CkCorrModel

Checking Correlation Model
GeoCV

n-fold kriging Cross-validation
CompIndLik2

Optimizes the Composite indipendence log-likelihood
CheckBiv

Checking Bivariate Covariance Models
CorrParam

Lists the Parameters of a Correlation Model