Hi Russell,

I am assuming you refer to kriging error variance.

If your semivariogram is bounded and has a sill
close to the sample variance, then the simple kriging
estimate will automatically be the global mean
when the kriging variance is the sample variance
(that is when all observations are beyond the range
of spatial correlation). Note that you might
want to decluster your sample mean before using it as global mean.

For ordinary kriging, the kriging variance would actually
be greater than the sample variance because of the
Lagrangian parameter. I don't think I would adopt
a global/sample mean instead of the local mean provided
by ordinary kriging even if the variance of the
estimator is smaller.

However, for kriging with a trend or universal kriging,
I wouldn't trust too much the estimate obtained for
large kriging variance since the extrapolated trend
can be very unrealistic (e.g. negative concentration estimates).

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

Dr. Pierre Goovaerts
President of PGeostat, LLC
Chief Scientist with Biomedware Inc.
710 Ridgemont Lane
Ann Arbor, Michigan, 48103-1535, U.S.A.

E-mail:  [EMAIL PROTECTED]
Phone:   (734) 668-9900
Fax:     (734) 668-7788
http://alumni.engin.umich.edu/~goovaert/

<><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><>

On Mon, 27 Jan 2003, Russell Barbour wrote:

> Dear List members,
> I am looking for a reference on interpretation of the Kriging error versus the
> sample variance. Am I correct in assumung that in any kriged interpolation
> where the Kriging error is greater than the sample varience then the sample
> mean would be a better estimate at that location?
>
> Thanks for your help
>
> Russell Barbour Ph.D.
> Research Associate in Applied Mathematics
> Vector Ecology Laboratory
> Yale School of Medicine
> 60 College St. Rm 600
> New Haven CT. 06520
> TEL: 203 785 3223
> FAX 203  785 3604
> email: [EMAIL PROTECTED]
>
>
>
>
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