AI-GEOSTATS: Rodograms for large-scale structures ?

2003-01-16 Thread Gregoire Dubois
To my question on the use of rodograms I got the two following references:

Paul Harris gave me the following:

Journel A. 1988. +IBw-New distance measures: the route toward truly non-gaussian
geostatistics+IB0, mathematical geology vol 20 no 4.

Pierre Goovaerts mentioned at paper presented at the Geostat congress in
Avignon, 1988.

Srivastava and Parker. 1989.Robust measures of spatial continuity. in M.
Armstrong, editor, Geostatistics, pages 295-308, Kluwer, Dordrecht.

I will certainly have a look at these papers. On the basis of what I have
found so far, I still have a question about the use of rodograms.

In Pierre+IBk-s book, (page 31), the following is discussed: influence of
extreme values can be reduced by using lower values of the order of the
variogram (2 = traditional semivariogram, 1 = madogram,  +AL0  = rodogram). On
page 86, it is further mentioned that relative rodograms and madograms provide
information (range, anisotropy) on large-scale features. This last point is
also mentioned in the manual of the GeostatOffice software +IBw-Rodograms and
madograms are useful for investigating large-scale structures, where data are
usually rather rough. If p=2 we get the most traditional measure called
variogram, it opens finer sides of data correlation and can fail for rough
data where rodogram and madogram succeed.+IB0 (see
http://www.ibrae.ac.ru/+AH4-mkanev/eng/gsoffice/HELP/Appendix.html)

My original question on rodogram came from a micro scale analysis of 9 points
located very closely (measurements of radioactivity made on a grid with nodes
separated by 12 cm). The fact that only the rodogram revealed a clear spatial
structure (unless you do an audacious regression of the experimental
semivariogram) might be an artefact due to the very few samples or a correct
approach if it wouldn+IBk-t contradict the theory claiming that rodograms are
more useful for large-scale structures. 

Is this argumentation based on theory or on experience with environmental
data? 

I would appreciate your feedback about this last point.

Gregoire

(Has everyone made a new +IBM year resolution on contributing to AI-GEOSTATS ??
The activity of the mailing list has been boosted tremendously since the
beginning of this year).


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AI-GEOSTATS: Rodograms for large-scale structures ? (Reposting)

2003-01-16 Thread Gregoire Dubois
Sorry for this re-posting, but a few signs have been improperly converted 
in my text editor. Here it is again.

+++

To my question on the use of rodograms I got the two following references:

Paul Harris gave me the following:

Journel A. 1988. New distance measures: the route toward truly non-gaussian
geostatistics, mathematical geology vol 20 no 4.

Pierre Goovaerts mentioned at paper presented at the Geostat congress in
Avignon, 1988.

Srivastava and Parker. 1989.Robust measures of spatial continuity. in M.
Armstrong, editor, Geostatistics, pages 295-308, Kluwer, Dordrecht.

I will certainly have a look at these papers. On the basis of what I have
found so far, I still have a question about the use of rodograms.

In Pierre's book, (page 31), the following is discussed: influence of
extreme values can be reduced by using lower values of the order of the
variogram (2 = traditional semivariogram, 1= madogram, 1/2= rodogram). On
page 86, it is further mentioned that relative rodograms and madograms provide
information (range, anisotropy) on large-scale features. This last point is
also mentioned in the manual of the GeostatOffice software Rodograms and
madograms are useful for investigating large-scale structures, where data are
usually rather rough. If p=2 we get the most traditional measure called
variogram, it opens finer sides of data correlation and can fail for rough
data where rodogram and madogram succeed. (see
http://www.ibrae.ac.ru/+AH4-mkanev/eng/gsoffice/HELP/Appendix.html)

My original question on rodogram came from a micro scale analysis of 9 points
located very closely (measurements of radioactivity made on a grid with nodes
separated by 12 cm). The fact that only the rodogram revealed a clear spatial
structure (unless you do an audacious regression of the experimental
semivariogram) might be an artefact due to the very few samples or a correct
approach if it wouldn't contradict the theory claiming that rodograms are more
useful for large-scale structures. 

Is this argumentation based on theory or on experience with environmental
data? 

I would appreciate your feedback about this last point.

Gregoire

(Has everyone made a new-year resolution on contributing to AI-GEOSTATS ??
The activity of the mailing list has been boosted tremendously since the
beginning of this year).




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* As a general service to the users, please remember to post a summary of any useful 
responses to your questions.
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Re: AI-GEOSTATS: Rodograms for large-scale structures ? (Reposting)

2003-01-16 Thread Pierre Goovaerts
Gregoire,

I believe I borrowed the term large-scale structure
from the 1992 Gslib user's manual, note that the
rodogram is not an option in the lastest release of Gslib.
The terminology might be misleading since we mean
features on the horizontal semivariogram axis (like range)
as opposed to relative nugget effect which is
inferred from the vertical axis of the semivariogram.
This comment is purely empirical and is not backed up
by any theory. Also I wouldn't draw any conclusion
from a statistics computed on 9 observations.

Cheers,

Pierre


Dr. Pierre Goovaerts
Consultant in (Geo)statistics
President of PGeostat, LLC
and Senior Chief Scientist with Biomedware Inc.
710 Ridgemont Lane
Ann Arbor, Michigan, 48103-1535, U.S.A.

E-mail:  [EMAIL PROTECTED]
Phone:   (734) 668-9900
Fax: (734) 668-7788
http://alumni.engin.umich.edu/~goovaert/



On Thu, 16 Jan 2003, Gregoire Dubois wrote:

 Sorry for this re-posting, but a few signs have been improperly converted
 in my text editor. Here it is again.

 +++

 To my question on the use of rodograms I got the two following references:

 Paul Harris gave me the following:

 Journel A. 1988. New distance measures: the route toward truly non-gaussian
 geostatistics, mathematical geology vol 20 no 4.

 Pierre Goovaerts mentioned at paper presented at the Geostat congress in
 Avignon, 1988.

 Srivastava and Parker. 1989.Robust measures of spatial continuity. in M.
 Armstrong, editor, Geostatistics, pages 295-308, Kluwer, Dordrecht.

 I will certainly have a look at these papers. On the basis of what I have
 found so far, I still have a question about the use of rodograms.

 In Pierre's book, (page 31), the following is discussed: influence of
 extreme values can be reduced by using lower values of the order of the
 variogram (2 = traditional semivariogram, 1= madogram, 1/2= rodogram). On
 page 86, it is further mentioned that relative rodograms and madograms provide
 information (range, anisotropy) on large-scale features. This last point is
 also mentioned in the manual of the GeostatOffice software Rodograms and
 madograms are useful for investigating large-scale structures, where data are
 usually rather rough. If p=2 we get the most traditional measure called
 variogram, it opens finer sides of data correlation and can fail for rough
 data where rodogram and madogram succeed. (see
 http://www.ibrae.ac.ru/+AH4-mkanev/eng/gsoffice/HELP/Appendix.html)

 My original question on rodogram came from a micro scale analysis of 9 points
 located very closely (measurements of radioactivity made on a grid with nodes
 separated by 12 cm). The fact that only the rodogram revealed a clear spatial
 structure (unless you do an audacious regression of the experimental
 semivariogram) might be an artefact due to the very few samples or a correct
 approach if it wouldn't contradict the theory claiming that rodograms are more
 useful for large-scale structures.

 Is this argumentation based on theory or on experience with environmental
 data?

 I would appreciate your feedback about this last point.

 Gregoire

 (Has everyone made a new-year resolution on contributing to AI-GEOSTATS ??
 The activity of the mailing list has been boosted tremendously since the
 beginning of this year).




 --
 * To post a message to the list, send it to [EMAIL PROTECTED]
 * As a general service to the users, please remember to post a summary of any useful 
responses to your questions.
 * To unsubscribe, send an email to [EMAIL PROTECTED] with no subject and 
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NOT SEND Subscribe/Unsubscribe requests to the list
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* To post a message to the list, send it to [EMAIL PROTECTED]
* As a general service to the users, please remember to post a summary of any useful 
responses to your questions.
* To unsubscribe, send an email to [EMAIL PROTECTED] with no subject and unsubscribe 
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Subscribe/Unsubscribe requests to the list
* Support to the list is provided at http://www.ai-geostats.org