A comparison of algorithms used to compute hill slope as a property of the DEM
Computers & Geosciences - Special issue on computers, geoscience and geocomputation
Assessing Interpolation Accuracy in Elevation Models
IEEE Computer Graphics and Applications
Environmental Modelling & Software
Computation of the third-order partial derivatives from a digital elevation model
International Journal of Geographical Information Science
Error propagation of DEM-based surface derivatives
Computers & Geosciences
The effect of error in gridded digital elevation models on the estimation of topographic parameters
Environmental Modelling & Software
Impact of DEM accuracy and resolution on topographic indices
Environmental Modelling & Software
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The error in slope gradient estimates provided by digital elevation models propagates to spatial modelling of erosion and other environmental attributes, potentially impacting land management priorities. This study compared the slope estimates of Shuttle Radar Topographic Mission (SRTM) DEMs with those generated by interpolation of topographic contours, at two grid cell resolutions. The magnitude and spatial patterns of error in DEM slope, and derived erosion estimates using the Revised Universal Soil Loss Equation (RUSLE), were evaluated at three sites in eastern Australia. The sites have low-relief terrain and slope gradients less than 15%, characteristics which dominate the global land surface by area and are often highly utilised. Relative to a reference DEM resampled to the same resolution (a measure of DEM 'quality'), the 90 m (3-s) SRTM DEM provided the best estimates of slopes, being within 20% for each 5% slope class outside alluvial floodplains where it over-predicted by up to 220%. Relative to a hillslope scale 10 m reference DEM, the 30 m (1-s) SRTM-derived DEM-S, provided slope gradient estimates slightly less biased towards under-prediction than the 90 m SRTM and significantly less biased on alluvial floodplains. In contrast, the 20 m vertical contour intervals underpinning the interpolated DEMs resulted in under-prediction of slope gradient by more than a factor of 5 over large contiguous areas (1 km^2). The 30 m DEM-S product provided the best estimate of hillslope erosion, being 3-4% better than the 90 m SRTM. The slope errors in the interpolated DEMs translated into generally poorer and less consistent erosion estimates than SRTM. From this study it is concluded that the SRTM DEM products, in particular the 30 m SRTM-derived DEM-S, provide estimates of slope gradient and erosion which are more accurate, and more consistent within and between low relief study sites, than interpolated DEMs.