Hi Pete,
 
This is a classical example where stochastic simulation would allow an easy 
quantification
of the uncertainty attached to the aggregated value. Just generate a series of 
realizations
of your process over these 1700 points, sum each set of simulated values, and
use the empirical distribution of simulated block values as a model of 
uncertainty.
You can find an example in Goovaerts, P. 2001. Geostatistical modelling of 
uncertainty in soil science. Geoderma, 103: 3-26. 
<http://www.terraseer.com/training/geostats/geoder01.pdf>   that you can 
download from my webpage.
 
Cheers,
 
Pierre

        -----Original Message----- 
        From: Pete Gething [mailto:[EMAIL PROTECTED] 
        Sent: Mon 8/1/2005 9:30 AM 
        To: [email protected] 
        Cc: 
        Subject: [ai-geostats] Sum of predicted values
        
        
        Dear list,

         

        I have Kriged predictions of a continuous variable at a set of 1700 
points. I want to sum these values and obtain an estimate of the overall 
prediction variance based on the kriging variances of the individual points 
(i.e., taking into account the spatial correlation between points). The data 
are approximately Gaussian. 

         

        I would expect there to be a standard solution to this problem, but I'm 
having difficulty finding examples - can anyone help me out, or point me to a 
reference?

         

        Thanks in advance,

         

        Pete

        ____________________________________________________________________
        Peter Gething
        School of Electronics and Computer Science
        School of Geography
         
        University of Southampton
        Highfield
        Southampton SO17 1BJ
        UK
        Tel: +44 (0) 23 8059 2013        
        Email: [EMAIL PROTECTED]  
        ____________________________________________________________________
        

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