Digby

The original derivation of the kriging equations does
not demand any specific distribution. However, it only
makes sense if the 'increments' - difference in value
- have a fairly stable variance.

Kriging works much better IN PRACTICE if those
differences are Normal, hence the various
transformations offerred such as lognormal kriging,
hermitian polynomials, Normal scores, rank transforms
and so on.

Normalising a mixture of distributions will result in
specious answers unless the distributions are mixed in
the same proportions all over the study area. 

Usually a mixed distribution is due to a mixture of
real populations. For example, in geology oxide and
sulphide samples may show different behaviour. There
may be separate phases of deposition. 

In short, a mixture of distributions generally
indicates a violation of the assumption of homogeneity
(or, if your prefer, stationarity) which is needed for
the proper application of any geostatistics. If
possible the populations should be separated and the
analysis carried out. If not, you may be able to cope
with the data using indicator kriging such as
suggested in my 1993 paper. There is also an example
in my Cardiff paper of 2000, I think.

Isobel 
http://geocities.com/drisobelclark/resume/Publications.html

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