Hi Digby:

In a paper (Mueller, T.G., F.J. Pierce, O. Schabenberger, and D.D. Warncke. 2001. Map 
quality for site-specific management. Soil Sci. Soc. Am. J. 65: 1547-1558), I suggest 
that the variance of the semivariogram at each lag may explain why map quality was 
poorer than expected in this study. I also suggest that this variance, particularly at 
earlier lags may be a good indicator of map quality.  Bottom line is that 
semivariogram models are still just field average models of spatial autocorrelation.  
Since its not a Gaussian distribution (more like a Chi square distribution) it may not 
be appropriate to use CV’s do describe the semivariogram cloud. Something I’ve 
been looking at recently is Hawkins and Cressie’s robust estimator. It transforms 
the semivariogram distribution into a normal distribution to calculate the 
semivariogram and then rescales it back.  I’ve found RMSE values are smaller with 
this approach more often than not with jack-knife analysis. 

Tom


-----Original Message-----
From: "Digby Millikan" <[EMAIL PROTECTED]>
To: "ai-geostats" <[EMAIL PROTECTED]>
Date: Mon, 13 Jan 2003 15:35:40 +1030
Subject: AI-GEOSTATS: Experimental variograms.

Hello, 
 When one calculates an experimental variogram used for spatial
modelling one averages the semivariogram values at each distance.
This value is just an average with a certain variance and coefficient
of variation which we assume to represent the true underlying 
variogram as we only have samples of the entire population. To this
effect can anyone suggest any literature that which discusses
individual variogram variances and the effect of these assumptions, 
and smoothing it may cause in our modelling, or is that our averaged
estimates of the variogram are accurate represenations as in many 
cases they do produce smooth curves.

Thanks in advance.

Regards Digby Millikan B.Eng

Geolite Mining Systems
U4/16 First Ave.,
Payneham South SA 5070
Australia.
Ph: +61 8 84312974

[EMAIL PROTECTED]
http://www.users.on.net/digbym


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Tom Mueller
Assistant Professor of Agronomy
University of Kentucky
Lexington, Ky 40546-0091
859-257-8887
[EMAIL PROTECTED]
www.uky.edu/~mueller

phone 859-257-8887
cell  859-608-2215

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