RandomFields {RandomFields}R Documentation

Simulation and Analysis of Random Fields

Description

The package RandomFields allows for simulating various kinds of random fields. The emphasis is (still) on unconditional simulation of stationary and isotropic Gaussian random fields. Furthermore, algorithms for conditional simulation and simulation of max-stable random fields are provided.

Additionally, the package includes tools for analysing spatial data: empirical variogram, interactive fitting, and MLE estimation of parameters. Basic kriging procedures are also provided.

Version 2.0 will contain various extensions of the packages (anisotropic random fields, user defined nested models and multiplicative models). It is is supposed to be released the latest by the end of 2002.

Details

The following random fields and related functionallities are provided by the package.

  1. stationary and isotropic Gaussian random fields
  2. stationary and isotropic max-stable random fields
  3. stationary and isotropic Poisson random fields (convenient access not implemented yet)

Functions used for diverse simulation methods:

Acknowledgement

Many thanks to Martin Maechler, Paulo Ribeiro, and Tilmann Gneiting for proof-reading parts of the code and the help text of this package.

The work has been supported by the EU TMR network ERB-FMRX-CT96-0095 on ``Computational and statistical methods for the analysis of spatial data'' in 1999, and by the German Federal Ministry of Research and Technology (BMFT) grant PT BEO 51-0339476C during 2000–2001.

Author(s)

Martin Schlather, Martin.Schlather@uni-bayreuth.de http://www.geo.uni-bayreuth.de/~martin

References

Schlather, M. (2001) Simulation of stationary and isotropic random fields. R News 1 (2), 18-20.

Schlather, M. (1999) An introduction to positive definite functions and to unconditional simulation of random fields. Technical report ST 99-10, Dept. of Maths and Statistics, Lancaster University.


[Package Contents]