Articles | Volume 10, issue 4
https://doi.org/10.5194/esurf-10-833-2022
https://doi.org/10.5194/esurf-10-833-2022
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, https://doi.org/10.1126/sciadv.aaz3166, 2020. 
Akaike, H.: A new look at the statistical model identification, IEEE Trans. Autom. Control, 19, 716–723, https://doi.org/10.1109/TAC.1974.1100705, 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, https://doi.org/10.1029/2006JF000553, 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, https://doi.org/10.1029/2009JF001426, 2010. 
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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.