Citation: HILLIER, J.K. and SMITH, M.J., 2012. Testing 3D landform quantification methods with synthetic drumlins in a real digital elevation model. Geomorphology,[153][154] Additional Information:• Metrics such as height and volume quantifying the 3D morphology of landforms are important 10 observations that reflect and constrain Earth surface processes. Errors in such measurements are, 11 however, poorly understood. A novel approach, using statistically valid 'synthetic' landscapes to 12 quantify the errors is presented. The utility of the approach is illustrated using a case study of 13 184 drumlins observed in Scotland as quantified from a Digital Elevation Model (DEM) by the 14 'cookie cutter' extraction method. To create the synthetic DEMs, observed drumlins were 15 removed from the measured DEM and replaced by elongate 3D Gaussian ones of equivalent 16 dimensions positioned randomly with respect to the 'noise' (e.g. trees) and regional trends (e.g. 17 hills) that cause the errors. Then, errors in the cookie cutter extraction method were investigated 18 by using it to quantify these 'synthetic' drumlins, whose location and size is known. Thus, the 19 approach determines which key metrics are recovered accurately. For example, mean height of 20 6.8 m is recovered poorly at 12.5 ± 0.6 (2σ) m, but mean volume is recovered correctly. 21Additionally, quantification methods can be compared: A variant on the cookie cutter using an 22 un-tensioned spline induced about twice (×1.79) as much error. Finally, a previously reportedly 23 statistically significant (p = 0.007) difference in mean volume between sub-populations of 24 different ages, which may reflect formational processes, is demonstrated to be only 30-50 % 25 likely to exist in reality. Critically, the synthetic DEMs are demonstrated to realistically model 26 parameter recovery, primarily because they are still almost entirely the original landscape. 27
*Manuscript Click here to view linked ReferencesResults are insensitive to the exact method used to create the synthetic DEMs, and the approach 28 could be readily adapted to assess a variety of landforms (e.g. craters, dunes, volcanoes). 29 30 31