Our paper on uncertainty quantification and smoothing of longitudinal river profiles has now been published in Earth Surface Dynamics. The paper describes a new approach to hydrologically correct and smooth profiles using quantile regression. Smoothing is based on curvature regularization with the constraint that elevation must decrease with increasing flow distance. We thus refer to this technique as constrained regularized smoothing (CRS). We compare CRS-derived profiles to profiles obtained from the common methods of filling and carving, and show that CRS outperforms these methods in terms of accuracy and precision.
Check out the new TopoToolbox functions that accompany the paper:
Schwanghart, W., Scherler, D., 2017. Bumps in river profiles: uncertainty assessment and smoothing using quantile regression techniques. Earth Surface Dynamics, 5, 821-839. [DOI: 10.5194/esurf-5-821-2017]