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Weird experimental 3D spatiotemporal variogram

5 messages · Benedikt Gräler, Piero Campalani, Edzer Pebesma

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Dear list,

I am predicting PM measurements on a spatiotemporal grid with monthly
intervals in time.
At modeling time, I am looking at the experimental 3D variograms
(`wireframes`) but I see that weird decreasing behavior in time (see
wireframes_2008-1.eps for January 2008): there is a peak at 0 time lags,
then correlation in time is much higher over different days.
How can I interpret such variogram?
Would it mean that there is a very high spatial variability for values on
the same day, whereas temporal variability is significantly lower?

Thanks for any hint,
(I can provide implementation details in case of need)

Piero
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4 days later
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Piero,

from the orientation of your graph, I could not see very well what
happens at zero-time, zero-space lag.

Did you compute a pure-time variogram, i.e. with zero space distance?
This one should have a missing zero-value, unless you have duplicate
measurements.
On 01/10/2013 03:20 PM, Piero Campalani wrote:

  
    
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Dear Piero,

how did you compute these variograms, using variogramST in gstat (which 
version?)?

Figures 4-7 in gstat's vignette "Spatio-temporal geostatistics using 
gstat" on CRAN show the missing value for the zero temporal and zero 
spatial lag class. I could not identify this property in your wireframe 
plots.

To me, the temporal effect looks like being "upside-down". I'll be happy 
to take a quick look at your script/data in case your problem still 
remains.

Best,

  Ben
On 15.01.2013 11:51, Edzer Pebesma wrote:

  
    
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Edzer, Ben,
(I was missing the vignette on spatio-temporal analysis with gstat.. !!)

I'm attaching a clearer figure of the experimental variogram: the /origin/
at 0 spatio-temporal lag is not zero actually.

Yes, I am using **variogramST** on a STFDF: the spacetime object looks ok,
then I simply call:
Ben, out of band I can give you my .Rdata cutout with the STFDF if you're
interested.
(It seems from the ST vignette that `variogramST` is now merged into
`variogram` ?)

--------------------------
[1] "R Under development (unstable) (2012-10-03 r60866)"
--------------------------

Thanks,
Piero
On 15 January 2013 15:15, Benedikt Gr?ler <ben.graeler at uni-muenster.de>wrote:

            
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3 days later
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Thanks Piero; this report revealed a bug in the gstat spatio-temporal
variogram computation, which should be fixed in the development version.
gstat source code has move to r-forge, development binaries can be
downloaded from https://r-forge.r-project.org/projects/gstat/
On 01/15/2013 04:09 PM, Piero Campalani wrote: