Gregoire,

I do not have the book with me right now, but what (you and) I do know
is that

ln(x)=ln(10)*log10(x)

The difference is only a multiplication by a constant, so it cannot be
true that one case does involve the Lagrange multiplier and the other
does not.

Gerard


Gerard B.M. Heuvelink
Wageningen University and Research Centre
P.O. Box 47
6700 AA Wageningen
The Netherlands

tel +31 317 474628 / 482420
email [EMAIL PROTECTED]


-----Original Message-----
From: Gregoire Dubois [mailto:[EMAIL PROTECTED] 
Sent: maandag 28 juli 2003 11:39
To: [EMAIL PROTECTED]
Subject: AI-GEOSTATS: Log-normal back transform in Webster & Oliver

In the book "Geostatistics for Environmental Scientists"
By Richard Webster & Margaret A. Oliver, Wiley (2000), one will find in
page
180 a brief discussion on the back-transformation of the kriging
estimates. 

In ordinary kriging, when the natural logarithm (ln) is used, the
back-transformation will involve the Lagrange parameter (see equation
8.36). 
No problem so far.

But... the authors write in equation 8.38 that if one is using common
logarithms (log10) instead, the unbiased back-transformation of the
ordinary
kriging estimates does not involve the Lagrange multiplier anymore. 
Is this correct ? In the affirmative, can someone point me to a paper
discussing "natural" log normal kriging versus "common" log normal
kriging ?

Thanks again for any help.

Regards,

Gregoire

 



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