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When I estimate Roughness, using QGIS [Raster > Analysis > DEM (Terrain models)], what is the unit of the values I get?

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Pressing the Help button takes you to the tool's documentation on the GDAL homepage:

roughness

This command outputs a single-band raster with values computed from the elevation. Roughness is the largest inter-cell difference of a central pixel and its surrounding cell, as defined in Wilson et al (2007, Marine Geodesy 30:3-35).

Sounds like the units are same as the input raster value units.

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