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I am trying to build a vulnerability index, although I have different resolution raster layers, e.g.: I have a 9km resolution climate change projection on pcp, euclidean distance of roads based on a 30m dem and other polygon layers that I have converted to raster based on my 30m dem.

Can I add these raster layers even though they are different resolution in order to build a vulnerability index?

I am using ArcGIS Desktop.

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Generally speaking, you will want to resample the rasters with the highest resolution to match the resolution of the lower resolution rasters.

ArcGIS has a Resample tool that allows you to accomplish this.

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