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Moving-window average of a surface concentration based on the "home-range" of an animal

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Hello,
I am working on a problem to calculate the moving-window average of a surface concentration. I created the surface concentration through kriging and have the output in a grid format spanning a large area (my grid sizes are something like a 1x1 foot and my grid is 1130x200). I need to calculate the concentration that an animal with some home-range (say 1 acre area) might be exposed to on average (to eventually display on a map).
I was wondering if anyone would have an idea of a direction I could go in or built in matlab functions to use to accomplish this task. I will need to do this over several different home-range values, so I will need to it be a fairly optimized process.
Let me know if you have any clarification questions!
Thanks for any help! Melissa

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