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I am attempting to downscale a plethora of temperatures points over a high resolution DEM, and have hit several roadblocks. On further research, I have found a method in which to execute this task, but am stuck on how to execute within ArcMap. 

 

The weighted linear function I plan to use is as follows `y=Bx+C`

Where y=predicted temperature, B and C are coefficients, and x is the DEM layer. 

 

There are also several complex weighted functions that determine the influence of the station on the regression model as the specific DEM cell gains altitude away from the station and proximity away from the coastline. I've also attached the thesis in which this mirrors, which goes more in depth on the equations in question. 

 

http://www.int-res.com/articles/cr2002/22/c022p099.pdf

 

Any help would be great, thank you!

 

Eric 

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