Hi Niklas
 
You'll get better/more detailed explanations than this, but kriging is what they call an 'exact interpolator' in that the data values are honoured at their locations (ie: 0 error variance).  As the nugget increases, more distant samples receive a higher weight and taken to the extreme (pure nugget) the samples receive the same weight and the estimation approaches a simple averaging.  See pp 305-307 of Isaaks & Srivastava's book "An Introduction to Applied Geostatistics" for the full story...
 

Cheers
 

Perry Collier

Senior Geologist

 

Rio Tinto Technical Services

Phone: +61 7 3327 7676 

Mobile: 0408 015 837

 


From: Törneman Niklas [mailto:[EMAIL PROTECTED]
Sent: Tuesday, 7 March 2006 6:15 AM
To: [email protected]
Subject: [ai-geostats] kriging without a nugget

Hi All,
 
I am sort of a beginner within this field and my question might seem a bit simple. Any help would be appreciated however.
 
In commercial all purpose software's such as SURFER there is an option to exclude the nugget effect from the kriging interpolation.
The purpose is to ensure that measured values are honoured at their locations. This seems understandable to me since the absence of a nugget ensures that the variance is zero at a distance of zero from the measured point, i.e. the measured value=interpolated value.
 
However, in most projects that I work with (soil pollution problems) there is a significant nugget effect. My question is simply how the interpolation is affected if the nugget effect is excluded when in reality there is a clear nugget present in the data.
 
One reason for this question (apart from a personal interest) is that I am trying to motivate the use of other methods (i.e. SGS) and more specialized software such as SGeMS and GS+. One good easily explainable motivation for this would be if the above mentioned methodology of excluding the nugget is inappropriate, which is suspect that it is.
 
 
cheers
 
 
Nicholas

 
 
 
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