Power operator for Variograms and Covariance functions
RMpower yields a variogram or covariance model
from a given variogram or covariance model.
The variogram gamma of the model is given by
gamma=phi^alpha
if phi is a variogram model. The covariance C of the model is given by
C(h) = phi(0)-(phi(0)-phi(h))^alpha
if phi is a covariance model.
RMpower(phi, alpha, var, scale, Aniso, proj)
If γ is a variogram, then γ^α is a valid variogram for α in the interval [0,1].
Martin Schlather, schlather@math.uni-mannheim.de, https://www.wim.uni-mannheim.de/schlather/
Schlather, M. (2012) Construction of covariance functions and unconditional simulation of random fields. In Porcu, E., Montero, J. M., Schlather, M. Advances and Challenges in Space-time Modelling of Natural Events, Springer, New York.
RFoptions(seed=0) ## *ANY* simulation will have the random seed 0; set ## RFoptions(seed=NA) to make them all random again model <- RMpower(RMgauss(), alpha=0.5) x <- seq(0, 10, 0.02) plot(model) plot(RFsimulate(model, x=x))
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