[R-sig-Geo] Varying measurement error in Kriging predictions

Edzer Pebesma edzer@pebe@m@ @ending from uni-muen@ter@de
Thu Nov 8 08:47:57 CET 2018


Please read p 74, "Kriging data with known measurement errors", of
http://gstat.org/gstat.pdf . It refers to a method published by Delhomme
(1978). The software was written long before the Christensen paper you
mention, to which I don't have access.


On 11/6/18 3:55 PM, Antonis Alexiadis wrote:
> Hello, my question is how can I implement known varying measurement error
> in my
> Kriging predictions?
> 
> I have two separate datasets: the first one is a 2-D dataset that includes
> the observations and
> the second is the a 2-D dataset that includes the measurement error in each
> specific location.
> The measurement error dataset follows a structure, it's not random (which
> can be characterized via the use of the experimental variogram).
> 
> I have searched a lot online on how to incorporate the measurement
> uncertainty in
> Kriging predictions but it seems to still be an open question in the forums
> (a paper solving this issue has been developed by William F. Christensen
> titled as: Filtered Kriging for Spatial Data with Heterogeneous Measurement
> Error Variances). I have tried to use gstat and incorporate the variances
> using the weights functionality but after I do the kriging and visualize
> the predicted variance field, even though it qualitatively resembles the
> defined one, the values of the variances are magnitudes lower than the ones
> proposed.
> 
> Does anyone have an idea on how to solve it, or aware of some
> software-package that
> has already implemented this functionality? (It's quite tough to understand
> the stated paper already, rather having to program
> its contents) .
> 
> 
> Thank you.
> 
> Regards,
> Antonios.
> 
> 	[[alternative HTML version deleted]]
> 
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-- 
Edzer Pebesma
Institute for Geoinformatics
Heisenbergstrasse 2, 48151 Muenster, Germany
Phone: +49 251 8333081

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