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GeoModels (version 2.2.5)

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

698

Version

2.2.5

License

GPL (>= 3)

Maintainer

Moreno Bevilacqua

Last Published

June 30th, 2026

Functions in GeoModels (2.2.5)

GeoCV

n-fold kriging Cross-validation
GeoCorrFct_Cop

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

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

Lists the Parameters of a Correlation Model
CompLik2

Optimizes the Composite log-likelihood
CompLik

Optimizes the Composite Log-likelihood
CorrParam

Lists the Parameters of a Correlation Model
CompIndLik2

Optimizes the Composite indipendence log-likelihood
GeoDistances

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

Spatial and Spatio-temporal Covariance Matrix of (non-)Gaussian random fields
GeoFit2

Maximum-Likelihood-Based Fitting of Gaussian and non-Gaussian random fields.
GeoKrigloc

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

Computes the fitted variogram model.
GeoCovDisplay

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

Computation of drop-one predictive scores
GeoFit

Maximum-Likelihood-Based Fitting of Gaussian and non-Gaussian random fields.
GeoKrigWeights

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

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

Probability integral or normal score tranformation
GeoOutlier

Spatio (temporal) outliers detection
GeoNeighborhood

Spatio (temporal) neighborhood selection for local kriging.
GeoResiduals

Computes fitted covariance and/or variogram
GeoScatterplot

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

Spatial, spatio-temporal, or bivariate nearest-neighbour indices
GeoNA

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

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

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

Quantile-quantile plot
GeoTestsupp_space

Parametric bootstrap test for spatial support (scale)
GeoTestIsotropy

Parametric bootstrap test for isotropy
GeoVarestbootstrap

Update a GeoFit object using parametric bootstrap for std error estimation.
GeoSim

Simulation of Gaussian and non-Gaussian random fields.
GeoSimCopula

Simulation of Gaussian and non-Gaussian random fields using copula.
GeoScores

Computation of predictive scores
GeoTests

Statistical Hypothesis Tests for Nested Models
GeoSimapprox

Fast simulation of Gaussian and non-Gaussian random fields.
GeoVarest

Score-based variance estimation for GeoFit objects
GeoSimcond

Conditional (fast) simulation of Gaussian and non-Gaussian random fields.
GeoVariogramDir

Empirical directional semivariogram
NuisParam2

Internal function handling Nuisance Parameters of a random field
Lik

Optimizes the Log Likelihood
MatDecomp

Matrix decomposition
NuisParam

Lists the Nuisance Parameters of a random field
MargParam

Lists the Nuisance Parameters of a random field
GeoVariogram

Empirical semivariogram estimation
MatSqrt, MatInv, MatLogDet

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

WLS of random fields
SimCE

Circulant embeeding simulation
winds.coords

Weather Stations of the Irish Daily Wind Speeds
sp2Geo

Extracting information from an sp or spacetime object
plot.GeoVariogram

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

Initializes the Parameters for Estimation Procedures
plot.GeoVariogramDir

Plot empirical directional semi-variogram
WlsStart

Computes Starting Values based on Weighted Least Squares
plot.GeoCorrFct

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

Irish Daily Wind Speeds
rainNLD

April Precipitation over the Netherlands with Distance-to-Coast Covariate
spanish_wind

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

July Average Temperature of Madagascar
getInvC

Utility function for kriging computation
anomalies

Annual Precipitation Anomalies in the U.S.
corrsas

Correlation Function for Sinh-Arcsinh random fields
CkLikelihood

Checking Composite-likelihood Type
CkInput

Checking Input
CheckBiv

Checking Bivariate Covariance Models
GeoAniso

Spatial Anisotropy correction
CheckST

Checking SpaceTime covariance models
CheckSph

Checking if a covariance is valid only on the sphere
CheckDistance

Checking Distance Type
CkType

Checking Likelihood Objects
CkCorrModel

Checking Correlation Model
CkModel

Checking random field Type