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Cumulative area over time

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I have a grid overlaying animal location points, and have been using spatial join to count the number of points in each cell. However, I would like to incorporate time into this, and cannot figure out how. I would like to be able to count each time the animal enter a new cell over a period of time, building a cumulative area over time. Any tips on how I can do this - using version 10!? Thanks!

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