Articles | Volume 10, issue 4
Short communication
11 Aug 2022
Short communication |  | 11 Aug 2022

Short communication: Forward and inverse analytic models relating river long profile to tectonic uplift history, assuming a nonlinear slope–erosion dependency

Yizhou Wang, Liran Goren, Dewen Zheng, and Huiping Zhang

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Cited articles

Adams, B. A., Whipple, K. X., Forte, A. M., Heimsath, A. M., and Hodges, K. V.: Climate controls on erosion in tectonically active landscapes, Sci. Adv., 6, eaaz3166,, 2020. 
Akaike, H.: A new look at the statistical model identification, IEEE Trans. Autom. Control, 19, 716–723,, 1974. 
Anthony, D. M. and Granger, D. E.: An empirical stream power formulation for knickpoint retreat in Appalachian Plateau fluviokarst, J. Hydrol., 343, 117–126, 2007. 
Berlin, M. M. and Anderson, R. S.: Modeling of knickpoint retreat on the Roan Plateau, western Colorado, J. Geophys. Res., 112, F03S06,, 2007. 
Bookhagen, B. and Burbank, D. W.: Toward a complete Himalayan hydrological budget: spatiotemporal distribution of snowmelt and rainfall and their impact on river discharge, J. Geophys. Res., 115, F03019,, 2010. 
Short summary
Abrupt changes in tectonic uplift rates induce sharp changes in river profile, called knickpoints. When river erosion depends non-linearly on slope, we develop an analytic model for knickpoint velocity and find the condition of knickpoint merging. Then we develop analytic models that represent the two-directional link between tectonic changes and river profile evolution. The derivation provides new understanding on the links between tectonic changes and river profile evolution.