The Spherical Covariance Model
RMspheric is a stationary isotropic covariance model
which is only valid up to dimension 3.
The corresponding covariance function only depends on the distance
r ≥ 0 between two points and is given by
C(r) = (1 - 1.5 r + 0.5 r^3) 1_{[0,1]}(r).
RMspheric(var, scale, Aniso, proj)
var,scale,Aniso,proj |
optional arguments; same meaning for any
|
This covariance model is valid only for dimensions less than or equal to 3.
The covariance function has a finite range.
Although this model is valid on a sphere, do not mix up this model with valid models on a sphere; see spherical models for a list of the latter.
Martin Schlather, schlather@math.uni-mannheim.de, https://www.wim.uni-mannheim.de/schlather/
Gelfand, A. E., Diggle, P., Fuentes, M. and Guttorp, P. (eds.) (2010) Handbook of Spatial Statistics. Boca Raton: Chapman & Hall/CRL.
RFoptions(seed=0) ## *ANY* simulation will have the random seed 0; set ## RFoptions(seed=NA) to make them all random again model <- RMspheric() x <- seq(0, 10, 0.02) plot(model) plot(RFsimulate(model, x=x))
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