Performing a 'far analysis' using ArcGIS for Desktop?

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I would like to perform an analysis that is the inverse of Near_analysis for ArcGIS. Instead of my result being NEAR_DIST and NEAR_FID, I'd like each feature to have a FAR_DIST and FAR_FID populated with the furthest feature information from a 'far feature'. I can do this with some scripting, but it would be slow, and involve iterating through each feature in a feature class and performing a Near_analysis on each, and picking the furthest distance.

Any other ideas? I'm ArcGIS 10.1 and proficient in python/arcpy.



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