Dear Els

A good reference on geostats in the oil industry is the excelent book from
Olivier Dubrule "Geostatistics for Seismic Data Integration in Earth
Models", where you will also find KDE aplications.

Actually, it is the reference book of a 1 day course offered by SEG (Society
of Exploration GEophysicists)/EAGE (European Association og Geoscientists
and Engineers).
http://www.eage.org/index.php?Menu_Code=DISCDetails&EVS_Id=45&ActiveMenu=57&;
Opendivs=s13,s15


Sincerely

Carlos Eduardo ABreu

-----Message d'origine-----
De : Els Verfaillie [mailto:[EMAIL PROTECTED]
Envoyé : vendredi 1 juillet 2005 10:55
À : Pierre Goovaerts; Recep kantarci; [email protected]
Objet : RE: [ai-geostats] modelling trend and kriging type


Dear AI-list,

in which context KED is mostly used? I have found examples of this
methodology in the context of soil science and climatology:


Bourennane, H., King, D. and Couturier, A., 2000. Comparison of kriging with
external drift and simple linear regression for predicting soil horizon
thickness with different sample densities: Geoderma, v. 97, p. 255-271.

Bourennane, H. and King, D., 2003. Using multiple external drifts to
estimate a soil variable: Geoderma, v. 114, p. 1-18.

Goovaerts, P., 1999. Using elevation to aid the geostatistical mapping of
rainfall erosivity: Catena, v. 34, p. 227-242.

Hudson, G. and Wackernagel, H., 1994. Mapping temperature using kriging with
external drift: theory and an example from Scotland: International Journal
of Climatology, v. 14, p. 77-91.

Martinez-Cob, A. and Cuenca, R.H., 1992. Influence of elevation on regional
evapotranspiration using multivariate geostatistics for various climatic
regimes in Oregon. Journal of Hydrology 136, 353–380.


Are there other interesting references for this methodology in the same or
other application fields?

Best wishes,
___________________________________________________

Els Verfaillie, PhD student
Renard Centre of Marine Geology - Ghent University 
Krijgslaan 281-S8 
B-9000 Gent - Belgium
tel: +32-9-2644573  fax: +32-9-2644967
e-mail: [EMAIL PROTECTED]
http://www.rcmg.ugent.be/
___________________________________________________
 

-----Original Message-----
From: Pierre Goovaerts [mailto:[EMAIL PROTECTED]
Sent: donderdag 30 juni 2005 16:54
To: Recep kantarci; [email protected]
Subject: RE: [ai-geostats] modelling trend and kriging type


To add to the excellent comments by Edzer and Gregoire,
 
1. Universal kriging = kriging with a trend. The second terminology has been
proposed by Andre
Journel who felt that the term "universal" was vague and misleadingly
"ambitious".
 
2. Kriging with an external drift (KED) is mathematically the same as
universal kriging (UK). Secondary variables
are simply replacing the spatial coordinates used in UK. 
 
3. Regression kriging denotes all the techniques where the trend is modeled
outside the kriging algorithm.
There are various methods that can be used to model that trend, ranging from
linear regression
to neural networks. Kriging is used to interpolate the residuals. In
practice these techniques have more 
flexibility than universal kriging in term of modeling the trend: multiple
variables either categorical or
continuous can be incorporated  easily and many sofwtare are available for
this trend modeling.
The only limitation is that the trend is modeled globally (i.e. the
regression coefficients are constant
in space) while in KED the coefficients are reestimated within each search
window.
 
Cheers,
 
Pierre
 

Pierre Goovaerts

Chief Scientist at Biomedware

516 North State Street

Ann Arbor, MI 48104

Voice: (734) 913-1098
Fax: (734) 913-2201 

http://home.comcast.net/~goovaerts/ 

        -----Original Message----- 
        From: Recep kantarci [mailto:[EMAIL PROTECTED] 
        Sent: Thu 6/30/2005 9:38 AM 
        To: [email protected] 
        Cc: 
        Subject: [ai-geostats] modelling trend and kriging type
        
        
        Dear ai-geostats members
         
        When the data used has a trend, it is needed to model trend and in
this case there exists various types of kriging to apply (universal kriging,
kriging with a trend, regression kriging etc).
        If this is the case, does one should use the same type of kriging or
different depending on modeling the trend using coordinates of target
variable or using other (namely, secondary or auxillary) variables such as
elevation or topography ? That is , are there a dinstinction depending on
the type of variables to model the trend while kriging?
         
        Best regards
        Recep

        
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