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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