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## GEOSTATS: spherical structure function

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• Is there a mathematical basis for the so-called spherical structure function model ? e.g. is this variogram one would get if the topography used to construct
Message 1 of 2 , Feb 8, 1999
Is there a mathematical basis for the so-called spherical structure
function model ?
e.g. is this variogram one would get if the topography used to
construct the variogram was perfectly spherical?
Thanks,
Graeme.

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• Hello, It is not clear what you mean by spherical topography. The spherical covariance function with range A is actually the covariance of a random function
Message 2 of 2 , Feb 9, 1999
Hello,

It is not clear what you mean by spherical topography.
The spherical covariance function with range A is actually
the covariance of a random function Z(u) defined as follows:
- consider a 3-D space with points u_i scattered randomly
- the value of Z at any location u is the number of
points contained in a sphere of radius A centered
on u.
In other words, the spherical covariance C(h) corresponds to the
volume of the intersection of 2 spheres of equal size whose
centers are separated by a vector h.
More details are available in the book by H. Wackernagel
(Multivariate geostatistics, 2nd edition, p.57-59).

Cheers,

Pierre
<><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><>

________ ________
| \ / | Pierre Goovaerts
|_ \ / _| Assistant professor
__|________\/________|__ Dept of Civil & Environmental Engineering
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On Tue, 9 Feb 1999, Ude Shankar wrote:

> Is there a mathematical basis for the so-called spherical structure
> function model ?
> e.g. is this variogram one would get if the topography used to
> construct the variogram was perfectly spherical?
> Thanks,
> Graeme.
>
> --
> *To post a message to the list, send it to ai-geostats@....
> *As a general service to list users, please remember to post a summary
> of any useful responses to your questions.
> *To unsubscribe, send email to majordomo@... with no subject and
> "unsubscribe ai-geostats" in the message body.
> DO NOT SEND Subscribe/Unsubscribe requests to the list!
>

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