Hi,

I am not sure i understood correctly your question. Fist of all, do 
the interpolated data have come from your sparse data 
interpolation? What method of interpolation did you use in this 
case?

After Burrough and McDonnel, 2000, you need at least 50 points to 
have reliable results through kriging. Certainly you can do it on less 
data, but until now i never saw a study considering this problem in 
depth (maybe there is literature out there, and if it does and 
anybody knows about it - i would like to know it also ;-))

Secondly, if you know the outlier is not an error, but you interpret it 
as representing a different combination of properties than the rest 
of your data - i am not very sure it is wise to use it together with 
your rest of the data in any interpolation exercise. The outlier may 
represent a different population and in this case i cannot see any 
"physical" reason to treat all your data together if parts of the data 
represent different things. At least this is my opinion.

Besides, if your data is not only sparse (5 or 6 data points .... it is 
really very sparse i think) but also far away in space, they can be 
at distances grater than the spatial correlation range, and in this 
case i really don't think you can use kriging .... you will have either 
a pure nugget effect or a very high nugget value and not a too high 
spatial correlation.

Monica

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