Description Usage Arguments Details Value Author(s) References See Also Examples
RMvector
is a multivariate covariance model which depends on
a univariate covariance model that is stationary in the first Dspace
coordinates h and where the covariance function phi(h,t)
is twice differentiable in the first component h.
The corresponding matrixvalued covariance function C of the model only depends on the difference h between two points in the first component. It is given by
C(h,t)=( 0.5 * (a + 1) Δ + a \nabla \nabla^T ) C_0(h, t)
where the operator is applied to the first component h only.
1 
phi 
an 
a 
a numerical value; should be in the interval [1,1]. 
Dspace 
an integer; either 2 or 3; the first Dspace coordinates give the first component h 
var,scale,Aniso,proj 
optional arguments; same meaning for any

C_0 is either a spatiotemporal model (then t is the time component) or it is an isotropic model. Then, the first Dspace coordinates are considered as h coordinates and the remaining ones as t coordinates. By default, Dspace equals the dimension of the field (and there is no t component). If a=1 then the field is curl free; if a=1 then the field is divergence free.
RMvector
returns an object of class RMmodel
Martin Schlather, schlather@math.unimannheim.de
Scheuerer, M. and Schlather, M. (2012) Covariance Models for DivergenceFree and CurlFree Random Vector Fields. Stochastic Models 28:3.
RMcurlfree
,
RMdivfree
,
RMmodel
,
RFsimulate
,
RFfit
.
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