Two relevant publications mentioned by Carol Gotway during her geoENV keynote (I happen to have them both on my desk right now, but haven't read them yet):
Gotway & Young, 2002, Combining incompatible spatial data, JASA (I don't have the issue and page numbers) -- this paper deals with block kriging when the data are observed on blocks with varying size
A Mockus, 1998, Estimating dependencies from spatial averages. Journal of computational and graphical statistics 7:4, 501-513. -- this paper explains how to estimate the point support variogram (probably up to the nugget) from blocks of varying size.
If you find software for either of the issues in these papers, please let the list know. -- Edzer
samuel verstraete wrote:
Hi,
I have a 3D data set that has been sampled by a private company. They lacked a complete knowledge of geostatistics so there is no sampling "strategy" involved. Another thing is that the support of the samples is strongly fluctuating. Horizontally the sampling support is constant and can be considered as a point (about 70cm^2 compared to a few hectares) Vertically the sampling support is not stable and rather "huge" in comparison with the vertical scale... (sampling can be 0.10 to 1 meter and maximum depth would be 5 to 6 meter or even less)
I've read in the literature that there is a possibility to correct for
such a things, through regularization. But none of the literature seems
to discuss the possibility that the samples themself do not always have
the same support, as stated before samples can have a support that is 10
times bigger than the smallest sample.
Question is... Is there any other literature that discusses this matter and even more importantly is there any software out there that can take this sampling support into consideration when I'm calculating the variogram or when I start with estimation/simulation of the field.
Thanks in advance,
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