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• ## AI-GEOSTATS: answers to gaussian model

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• Hi everybody, Thanks for your answers. I had seen the similarity between the formulas, but I thought there could have been more to it than just similarity.
Message 1 of 1 , Nov 5, 2002
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Hi everybody,
Thanks for your answers. I had seen the similarity between the formulas,
but I thought there could have been more to it than just similarity. Here is
a summary of all responses.
Cheers, Carolina

Hi.
> I have a question which is not directly related to geostatistical
analysis...
> What is the relationship between the gaussian model
> used in geostatistics and the "classical" gaussian function or
> distribution,
> or how it came to be known as a gaussian model?

A partial answer to your question is simply that the functional form of
the gaussian variogram is the
same as the functional form for the probability density function for a
gaussian random variable.

Donald E. Myers
http://www.u.arizona.edu/~donaldm

Carolina

The gaussian semi-variogram model is so-called because
the formula is basically identical to that for the
Normal (or gaussian) probability distribution.

There is no other necessary link with the Normal
distribution.

Isobel (Clark)
http://uk.geocities.com/geoecosse/news.html

Carolina,

yes ..... the Gaussian model ..... a misnoma really: it should be
clear where the term comes from - just look at the functional form: it
is identical to the functional form of a Gaussian. I always call this
model the squared exponential covariance function (since there is
nothing 'Gaussian' about it other than the form) - and by the way if you
think in a processed based way this is a terrible variogram to use,
unless you believe the field you are dealing with is really infinitely
smooth (differentiable).

cheers

Dan

--
Dr Dan Cornford
Computer Science Tel: 0121 359 3611 x4667
Aston Univeristy Fax: 0121 333 4586
Birmigham, B4 7ET, UK Email: d.cornford@...

URL: http://www.ncrg.aston.ac.uk/~cornfosd/

Gaussian distribution or normal distribution has a multiple of exp(-x^2)
as its probability density function. Gaussian variogram has similar term
in its definition.

Hope this help.

Thanks
Abedini

Hola Carolina:

La ecuación del variograma gaussiano es g(h)=C(1-exp(-(h/a)^2)
el nombre gaussiano es un muy mal nombre y solo corresponde a la
analogía
entre esta función y el modelo normal.
Atentamente,

Marco

Carolina Garcia Imhof
M.Sc. student
Marine Mammal Research Group
Marine Science Department
310 Castle Street, PO Box 56
University of Otago
Dunedin, New Zealand

Fax: 64 3 479 8336
Phone: 64 3 479 5476
e-mail: garca917@...
caro_gar@...

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