Hello, All

I have posted this message to the gstat-info mailing list - apologize
for the cross-posting.

I am processing oceanographic datasets from NWW3 (NOAA) model in order
to obtain subsets of data refined both in time and in space. The main
goal is to interpolate the original spatio-temporal grid to smaller
space and time lags without having to accopolate another
wave-propagation model. I have considered using traditional
interpolation methods (IDW,...) but I decided to use simple kriging,
which enables me to incorporate space-time dependencies in the
interpolation process.

Nevertheless, I have bumped into two awkward problems.

The first one may be quite trivial but I haven't figured it out so
far. Some of the data on the NWW3 model is related with wavesets
direction. This data is presented in polar coordinates ranging from
0-360 degrees, which poses a serious problem on mean value calculation
- a fundamental process on variogram estimation. For example, if one
accounts for two wavesets directions in two
different points, one with direction 10º and the other with direction
30º, the mean direction is 20º - so far, so good... But, when
considering two wavesets with directions 5º and 355º, the naive mean
will be 180º which is extremely different from the desired 0º value. A
solution for this problem is the separate averaging of sine and cosine
values and reverting the process using the arctg function. This is the
basic maths approach but how do I transfer it to variogram
estimation? Should I decompose my directions field in two other, sine
and consine, evaluate the anisotropy of each one of these and hope to
have the same ellipse defined from two dijunct variables? Well, I am
just starting in geo-statistics so... much help is needed to solve
this problem...

The other problem is an operational one. I am using gstat automatic
modelling capabilities to define my ellipsoid axis, calculating
variograms of four different horizontal directions, which works OK
most of the time. However, sometimes it doesn't and I end up without
an orthogonal pair of axis and hours of useless work.
The question is: how can I speed up the process of discovering the
main/minor directions of my ellipses without the exhaustive
calculation of (too) many semivariograms - i.e., many directions? I am
feeding gstat with some hundreds of thousands of lines of data each
time I ask it to calculate a variogram - which is a slow process even
when using a dual pentium, 2gb ram, 500gb disk box...

I would deeply appreciate your help on these issues.

Best regards,
Nelson Silvestre

MSc GIS student
Instituto Superior Técnico - UTL, Technical University Lisbon

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