AI-GEOSTATS: Choosing Lag Distance and Angular Tolerance

2001-05-15 Thread Yadollah Waghei

Hello dears
I have a spatial data set contaning n=262 observarion (The variable of interest is 
Rate of Tuberculosis in 262 counties of Iran). I want to fit some models to 
Directional semi-variograms,and then build anisotropic semi-variogram.
Then  questions are
- Is there any rule for choosing Lag Distance and Angular Tolerance?
-Also,how we can balance between Lag Distance and Angular Tolerance?
-Do you agree that both must be very small,as possible?(Such that number of pairs in 
each lag20, for example)

Thank you
Yadollah Waghei
Dep.of Biostatistics
Tarbiat Modarres Univ.(Tehran)Po.Box: 14115-111
Tel:8011001-3872  Fax:8007989
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Re: AI-GEOSTATS: The Estimation of Range paramter is very very big

2001-05-15 Thread Isobel Clark

Are you using some kind of automated fitting?

The results would suggest that the model is
inappropriate or that your basic assumptions are
inappropriate. You should look at how the models are
being fitted and what assumptions are made and
question everything.

Isobel Clark


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Re: AI-GEOSTATS: Choosing Lag Distance and Angular Tolerance

2001-05-15 Thread Isobel Clark

Andrew

You can apply 'standard' geostatistics if the
measurements are the 'average' (or some similar
feature) over an area. 

It makes interpeting the semi-variogram extremely
tricky if you combine many different sizes of sample,
but common sense is the main thing here. The trick is
to derive a point semi-variogram model from which any
size can be derived (see Chapter 3, Practical
Geostatistics 1979, downloadable free from Web,
http://uk.geocities.com/drisobelclark/practica.html)

Kriging is modified to reflect that the samples are
averages, mainly by changing the diagonal elements in
the equations so that they are non-zero. I don't know
any software package (off hand ) that does this,
though.

Isobel Clark



--- Andrew Mullens [EMAIL PROTECTED]
wrote:  I have a question relating to this question,
 certainly not to question the
 previous writer, it just seems like a good time to
 bring it up. Will
 variograming and other such techniques work for the
 data the previous writer
 described, e.g samples aren't at points, but areas
 (and areas that might
 have very little to do with the question). If they
 did use points in the
 calculations where would the points be placed, at
 the center of the county,
 at the major population center, at some arbitrary
 point (e.g most northerly
 point).
 
 I may be miss reading the description, perhaps the
 sample are point samples,
 but were taken with one sample in each county.
 
 Obviously the point samples are never really point
 sample, they must be
 taken over some area, approximating a point, but
 does this design seem to
 push the boundaries on that assumption.
 
 Andrew
 - Original Message -
 From: Yadollah Waghei [EMAIL PROTECTED]
 To: [EMAIL PROTECTED]
 Cc: [EMAIL PROTECTED];
 [EMAIL PROTECTED]; [EMAIL PROTECTED];
 [EMAIL PROTECTED]; [EMAIL PROTECTED];
 [EMAIL PROTECTED]
 Sent: Tuesday, May 15, 2001 7:33 AM
 Subject: AI-GEOSTATS: Choosing Lag Distance and
 Angular Tolerance
 
 
  Hello dears
  I have a spatial data set contaning n=262
 observarion (The variable of
 interest is Rate of Tuberculosis in 262 counties of
 Iran). I want to fit
 some models to Directional semi-variograms,and then
 build anisotropic
 semi-variogram.
  Then  questions are
  - Is there any rule for choosing Lag Distance and
 Angular Tolerance?
  -Also,how we can balance between Lag Distance and
 Angular Tolerance?
  -Do you agree that both must be very small,as
 possible?(Such that number
 of pairs in each lag20, for example)
 
  Thank you
  Yadollah Waghei
  Dep.of Biostatistics
  Tarbiat Modarres Univ.(Tehran)Po.Box: 14115-111
  Tel:8011001-3872  Fax:8007989
 

___
  Visit http://www.visto.com/info, your free
 web-based communications
 center.
  Visto.com. Life on the Dot.
 
 
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 any useful responses to your questions.
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 the list
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 http://www.ai-geostats.org
 
 
 
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AI-GEOSTATS: Number of data points Variograms

2001-05-15 Thread K. Ramanitharan

Dear AI-GEOSTATiSticians,

My research is on heavy metal pollution in water bodies.
As a part of the analysis, I am doing kriging with the pollutant data.
I have couple of problems in doing this task.

1. Though I have the data sets for 90 water bodies, most of them (85) have 
data points
less than 10. As one can expect, this 'environment' gives trouble in 
fitting variograms.
Two papers, I came across on similar issue haven't help me much in solving 
the problem.

Is there any consistent tested way to approach such 'not-enough-data' 
situations?

2. Some data are with 'Hot Spots'. However, when I work with the data sets,
I have the trouble in fitting the variogram. My questions may be trivial ones.

How to distinguish Outliers from Hotspots, if there is a lack of 
site-information beyond the data set?
Could it be possible to effectively fit variograms, when the hot spots are 
present?
Could a variogram capture the hot spot presence for kriging?
[ For most of the cases I tried with such suspected hotspot data, my 
results show that
the linear interpolation works better than the krigged distribution based 
on the 'fitted' variograms]


I would appreciate if anyone could provide me some suggestions on the above 
difficulties, and relevant
references for my reading

Thank you very much.

Regards,
-/Ramanitharan, K.

=

Ramanitharan Kandiah
Graduate Student
Department of Civil  Environmental Engineering
Tulane University
New Orleans, LA 70125
USA.




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Re: AI-GEOSTATS: Number of data points Variograms

2001-05-15 Thread Isobel Clark

 My research is on heavy metal pollution in water
 bodies.

Hi, some thoughts (your numbering):

(1) One of the things I have found successful is the
following:
construct your semi-variogram using ALL of your
data but not allowing pairs between samples in
different water bodies;
use cross validation on each water body separately
to see if the 'generic' model works for all of them or
whether some are more variable or harder to predict
than others;
use the generic model for kriging with a
variance/sill scaled for each water body.

 Is there any consistent tested way to approach such
 'not-enough-data' situations?
Not really, but I have found this works if the
'deposition' is similar in the various bodies.

(2) 'Hot spots' are (a) erratic highs due to
distribution being skewed or (b) true outliers
(inhomogeneities). Which? Tackle accordingly. Cross
validation will pick up outliers but not work properly
if data is severely skewed.

 Could it be possible to effectively fit variograms,
 when the hot spots are present?
Try calculating semi-variograms with and without 'hot
spots' and see what happens.

Kriging is based on an assumption of homogeneity and
it is a little unfair to expect it to come back and
say that's a daft thing to do ;-)

 [ For most of the cases I tried with such suspected
 hotspot data, my results show that
 the linear interpolation works better than the
 krigged distribution based on the 'fitted' 
 variograms]
I find this statement interesting. How do you define
better -- prettier? nicer? easier to interpret? less
polluted?


Isobel Clark



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