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Area and Volume tools giving erroneous results

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10-18-2012 06:36 AM
JamesBarritt
Emerging Contributor
Hello
I have a problem with the results of the 3D Analyst, Area and Volume or Surface volume tools and would be grateful for any insight into why the outputs using these methods are very inaccurate for certain raster datasets.

I have a number of rasters representing layer thickness which I've clipped to specific polygon features to allow the volumes of the individual raster clips to be determined. The polygons are relatively irregular.

I then used the Surface Volume tool to calculate the volume of each of the rasters I'd created. (All cell values were positive and I used a plane value of 0 and the 'ABOVE' option) What was immediately apparent was that the area within the results table was significantly different from the polygon from which it was clipped - this is fine (to a point) as I realize they will not be exactly the same area due to the influence of the raster resolution. But what I did expect was that the reported area would equal the raster�??s cell size multiplied by the number of the cells within the raster - but it does not by a significant amount!

As an example: Raster 1, cells size = 4,4 and total number of cells = 251 (all >0) therefore the total raster area is 4016m2. But the 2D area reported by the above 3D Analyst tools is 2480m2.

If I resample the same raster to 1,1 then the same tools now report an area of 3629m2 even though the raster extents have not changed.

Clearly with the erroneous areas the reported volumes are equally in error!

Does anyone have any idea how 3D Analyst actually calculates the areas using these tools if it is not the areal extent of the raster?

I did find the following thread which may well be related: http://forums.esri.com/Thread.asp?c=93&f=995&t=189512

Thanks for any help!
James Barritt
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3 Replies
JamesBarritt
Emerging Contributor
After looking at this more closely, I seem to have found a solution but not really an answer to my original question.  My personal conclusion is that the Area and Volume tools using the methods in my original post are flawed - a strong statement indeed, and I'd be grateful for others opinion and explanations to the contrary.

In the end I re-calculated all my volumes using the Cut and Fill tool using a zero value raster as the plane.  The results are consistent, understandable and ultimately make sense. I would still like to know why the volume and area tools do not give correct values and would welcome any comment from esri on whether this is an issue that needs resolving and if not - why not?  As per the link in my OP, the issue seems to have remained for over 6 years!

My recommendation is; be very careful when relying on the area and volume values reported by the Surface Volume tool and Area and Volume Statistics, especially if you have irregular, relatively small and coarse grid rasters.  The slightly more time consuming but more accurate method to get area and volume stats is to create a single value raster at a plane value you would have used in the Surface Volume tool and then use the Cut and Fill tool instead using this raster and the layer in question.
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KevinGrootendorst
Occasional Contributor
Hi James,
I too experienced this problem.  I contacted tech support and they indicated that the area of the raster is calculated using the center of the raster pixel, not the outer edge.  Essentially 50% of each exterior cell is not included in the area calculation.

You can see the effect by converting the raster to a TIN. The TIN will be generated using the same manner (cell centers, not edge).

As you noted, the cut/fill tool is the workaround for calculating volumes using a raster.
I asked that Esri revise the help to better reflect this limitation.

Kevin
JamesBarritt
Emerging Contributor
Hi Kevin

Many thanks for your response - that makes perfect sense.

Your point about the help and notes that accompany this tool are spot on.  Quite why this, and all other threads on the same subject seem not to have had an adequate response from esri is a mystery.  Effectively the use of this tool for the purposes I describe should carry a strong caveat or explanation of method. I would still welcome a response from anyone on why it would be preferable to calculate the area of a raster using the method you describe.

James
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