# Calculate area of raster grid cells in an unprojected raster using ArcGIS

I have a raster dataset in a geographic coordinate system where the value of the grid cell is in tons per hectare. I want to be able to calculate the number of hectares in each grid cell so that I can calculate the number of tons per pixel and eventually perform zonal statistics on the raster. The raster covers much of the globe, so the cells near the equator have a different area value than those in northern latitudes. I am hesitant to project the raster as I'm worried it will distort the values.

Is there any way to calculate the area value of each raster cell using Raster Calculator in ArcMap?

I saw a GeoNet thread on how to do this in an earlier version of ArcMap using the \$\$YMap function, but it says it won't work in versions over 10.0. I'm open to suggestions on how to do this on other platforms, but I have very little scripting experience.

• \$\$YMAP – user2856 Jun 16 '17 at 2:18
• This is also a great answer that could help you out! gis.stackexchange.com/a/127327/9518 – umbe1987 Jun 16 '17 at 13:36
• Thanks! I did see that thread, and while the equation makes sense to me, I'm unclear as to how to execute that in ArcMap, giving my limited scripting experience. If I were to perform that calculation in raster calculator, how would I get the calculator to query the latitude? – oceankate Jun 16 '17 at 14:52

As pointed out in this geonet discussion (https://geonet.esri.com/thread/43270), which I think the OP was referring to, you could project your data to an cylindrical Equal Area projection. Your raster would then have all cells with same size regardless of the proximity to the equator. You could look at the cell size in the raster layer properties (the unit would be the one of your chosen projection), convert it to hectares, calculate the area of a cell (cellsize^2), and eventually perform zonal statistics ad you need. Of course, there's surely be some distortion, you have to choose carefully the projection which fits your needs the most, or subdivide your area in many parts and project each of them in a different projection (but this would be very tricky).

If you are using a projected coordinate system, your cells should be the same size anyway (though @umbe1987 makes a good point bc an Equal Area projection preserves area better than other projected systems). Take a look at the properties of your raster (see the screenshot below). You can multiply the x and y to get the area in the units of your raster. If the projected coordinate system in use is in units of meters and x=10 and y=10, each cell is 100m (+/-).

I believe that you could just then do a simple calculation on the values in the original raster with that size as a coefficient. • Thanks @jbchurchill. As I mentioned in my question, the raster is unprojected, and there is concern that projecting the raster will create distortion. – oceankate Jun 16 '17 at 13:09
• If you are interested in preserving the area information rather than the shapes, distances, etc., then an equal area projection is what you are looking for. Distortion is present, but area areas are preserved. (en.wikipedia.org/wiki/Map_projection#Equal-area) – umbe1987 Jun 16 '17 at 13:47
• @oceankate A raster is by definition distorted, since it represents everything using a grid. You give up accuracy/precision for calculating speed. – jpmc26 May 12 '18 at 5:05

Here is a python script that performs the area calculation for each cell

• Please add the content of the script to your answer. At the moment there's no actual information to solve the problem written in the answer – nmtoken Apr 17 '18 at 18:44