\name{RandomFields} \alias{RandomFields} \title{Simulation and Analysis of Random Fields} \description{ The package \code{RandomFields} allows for simulating various kinds of random fields. The emphasis is (still) on unconditional simulation of stationary and isotropic Gaussian random fields, but the package provides also basics for conditional simulation of Gaussian random fields. Furthermore, non-Gaussian random fields, i.e. max-stable random fields, can also be simulated. Additionally, the package provides tools for analysing spatial data, namely the calculation of the empirical variogram, interactive fitting of a variogram model, and the MLE estimation of variogram parameters. A very few, basic, kriging procedures are also provided. Diverse extensions of the package are planned. } \details{ The following random fields and related functionallities are provided by the package. \enumerate{ \item stationary and isotropic Gaussian random fields\cr \itemize{ \item \code{\link{CondSimu}} : conditional simulation \item \code{\link{CovarianceFct}} : covariance functions or variogram models \item \code{\link{EmpiricalVariogram}} : empirical variogram \item \code{\link{GaussRF}} : simulation of Gaussian random fields \item \code{\link{Kriging}} : simple and ordinary kriging \item \code{\link{mleRF}} : maximum likelihood estimator for random field parameters \item \code{\link{RFparameters}} : control parameters (advanced settings) \item \code{\link{PrintMethodList}} : list of implemented simulation methods \item \code{\link{ShowModels}} : interactive, graphical choice of models } \item stationary and isotropic max-stable random fields\cr \itemize{ \item \code{\link{CovarianceFct}} : covariance models for extremal Gaussian random fields \item \code{\link{MaxStableRF}} : simulation of max-stable random fields \item \code{\link{RFparameters}} : control parameters (advanced) } \item stationary and isotropic Poisson random fields (convenient access not implemented yet)\cr % \itemize{ % \item \code{%\link{ % PoissonRF%} % } : simulation of Poisson random fields % } } Functions used for diverse simulation methods: \itemize{ \item \code{\link{DeleteRegister}} : deleting internal registers } } \author{Martin Schlather, \email{Martin.Schlather@uni-bayreuth.de} \url{http://www.geo.uni-bayreuth.de/~martin}} \section{Acknowledgement}{ Thanks to Martin Maechler, Paulo Ribeiro, and Tilmann Gneiting for proof-reading parts of the code and the help text of this package. } \keyword{spatial}