RandomFields: RPhyperplane – R documentation

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RPhyperplane

Hyperplane method

Description

The Hyperplane method is a simulation method for stationary, isotropic random fields with exponential covariance function. It is based on a tessellation of the space by hyperplanes. Each cell takes a spatially constant value of an i.i.d. random variable. The superposition of several such random fields yields approximatively a Gaussian random field.

Usage

RPhyperplane(phi, boxcox, superpos, maxlines, mar_distr, mar_param ,additive)

Arguments

phi

object of class RMmodel; specifies the covariance function to be simulated; only exponential covariance functions and scale mixtures of it are allowed.

`boxcox`	the one or two parameters of the box cox transformation. If not given, the globally defined parameters are used. See `RFboxcox` for details.
`superpos`	integer. number of superposed hyperplane tessellations. Default: `300`.
`maxlines`	integer. Maximum number of allowed lines. Default: `1000`.
`mar_distr`	integer. code for the marginal distribution used in the simulation: `0` uniform distribution `1` Frechet distribution with form parameter `mar_param` `2` Bernoulli distribution (Binomial with n=1) with argument `mar_param` This argument should not be changed yet. Default: `0`.
`mar_param`	Argument used for the marginal distribution. The argument should not be changed yet. Default: `NA`.
`additive`	logical. If `TRUE` independent realizations are added, else the maximum is taken. Default: `TRUE`.

Value

RPhyperplane returns an object of class RMmodel.

Author(s)

Martin Schlather, schlather@math.uni-mannheim.de, https://www.wim.uni-mannheim.de/schlather/

References

Lantuejoul, C. (2002) Geostatistical Simulation: Models and Algorithms. Springer.

Examples

RFoptions(seed=0) ## *ANY* simulation will have the random seed 0; set
##                   RFoptions(seed=NA) to make them all random again
model <- RPhyperplane(RMexp(s=2), superpos=1)
x <- seq(0, 3, 0.04)
z <- RFsimulate(x=x, x, model=model, n=1)
plot(z)

RandomFields

Simulation and Analysis of Random Fields

v3.3.10

GPL (>= 3)

Authors

Martin Schlather [aut, cre], Alexander Malinowski [aut], Marco Oesting [aut], Daphne Boecker [aut], Kirstin Strokorb [aut], Sebastian Engelke [aut], Johannes Martini [aut], Felix Ballani [aut], Olga Moreva [aut], Jonas Auel[ctr], Peter Menck [ctr], Sebastian Gross [ctr], Ulrike Ober [ctb], Paulo Ribeiro [ctb], Brian D. Ripley [ctb], Richard Singleton [ctb], Ben Pfaff [ctb], R Core Team [ctb]

Initial release