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How to “smooth” a raster map

One area that may be worth looking into for this kind of spatial
disaggregation is dasymetric mapping. The technique originated out of
census data, where the provided scale rarely matches the scale of
interest. I've used this technique in the past to disaggregate crop
production totals onto a surface containing viable crop locations.

As a starting point, I'd recommend the Mennis and Hultgren paper [1] on
intelligent dasymetric mapping.

1. 
https://scholar.google.com/citations?view_op=view_citation&citation_for_vie
w=tyqlZucAAAAJ:2osOgNQ5qMEC