AI-GEOSTATS: The relation between variogram and covariogram (Anisotropic)

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• Hi all list members Suppose that g denote the semi-variogram and C denote the Covariogram functions. According to Cressie(1993, P. 67) the relation is g(h)
Message 1 of 4 , May 13, 2002
Hi all list members
Suppose that g denote the semi-variogram and C
denote the Covariogram functions. According to
Cressie(1993, P. 67) the relation is
g(h) = C(0) - C(h)
where h is the distance vector.In the isotropic case
C(0) = total sill = c0 + c
I have an Anisotropic Variogram in which c is varying
with direction.Therefore my question is what is C(0)
in this case?

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• Hi Dear doctor Abedini I have constructed a more general variogram model, in which all of the parameters are varying with direction. My model more general than
Message 2 of 4 , May 13, 2002
Hi Dear doctor Abedini
I have constructed a more general variogram model, in
which all of the parameters are varying with
direction. My model more general than range anisotropy
and sill anisotropy. Since I want to simulate from
this model ,with cholesky decomposition method, I need
the covariogram model, which is respected to my
variogram model. Therefore I need the relation between
variogram and covariogram. In fact I need to specify
C(0).

Thank you: W.

--- "Dr. M.J. Abedini from Civil Eng."
<abedini@...> wrote:
>
>
> Mr. Webster
>
> First of all, C in that equation is covariance which
> is totally different
> from covariogram.
>
> As for c(0), first you need to specify which type of
> anisotropy you have.
> In geometric anisotropy, range is direction
> dependent and sill [c(0)] is
> constant while in zonal anisotropy, the sill is
> direction dependent and
> range is constant. You might have a combination of
> geometric and zonal
> anisotropy for which both sill and range are
> direction dependent. You may
> even have nugget effect anisotropy for which negget
> is direction
> dependent.
>
> I will create a list of papers on modeling
> anisotropy and will forward it
> to you shortly.
>
> Thanks
> Abedini
>
> On Mon, 13 May 2002, jack webster wrote:
>
> > Hi all list members
> > Suppose that g denote the semi-variogram and C
> > denote the Covariogram functions. According to
> > Cressie(1993, P. 67) the relation is
> > g(h) = C(0) - C(h)
> > where h is the distance vector.In the isotropic
> case
> > C(0) = total sill = c0 +
> c
> > I have an Anisotropic Variogram in which c is
> varying
> > with direction.Therefore my question is what is
> C(0)
> > in this case?
> >
> > =====
> >
> >
> > __________________________________________________
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> > LAUNCH - Your Yahoo! Music Experience
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> >
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>

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