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Calculate average values from observations within a distance weighted by the square of the inverse distance

Question asked by aleczuo on Jun 2, 2016
Latest reply on Jun 14, 2016 by aleczuo

I have a shape file for U.S. county centroid, and another shape file for temperature point observations across the U.S.

I'd like to calculate the average temperature for each of the county centroid, from the temperature observations within a certain distance of the centroid, weighted by the square of the inverse distance. Could anyone let me know which tool(s) should I use to get this outcome? Thanks very much in advance.