, SI References, vol.620

E. R. Baynes, D. Lague, M. Attal, A. Gangloff, L. A. Kirstein et al., River self- 621 organisation inhibits discharge control on waterfall migration: Scientific Reports 8, 2444, 622 https, pp.10-1038, 2018.

P. Davy, T. Croissant, and D. Lague, A precipiton method to calculate river hydrodynamics, 624 with applications to flood prediction, p.625, 2017.

. Instabilities, Journal of Geophysical Research. Earth Surface, vol.122, issue.626, pp.1491-1512

N. J. Finnegan, G. Roe, D. R. Montgomery, and B. Hallet, Controls on the channel width of 628 rivers: Implications for modelling fluvial incision of bedrock: Geology, v, pp.229-629, 2005.

P. Hanson, J. Mason, and R. Goble, Fluvial terrace formation along Wyoming's Laramie 631, 2006.

, Range as a response to increased late Pleistocene flood magnitudes, Geomorphology, vol.632, issue.76, pp.12-25

R. Hooke, Model Geology: Prototype and Laboratory Streams: Discussion: Geological 634, 1968.

A. Society and . Bulletin, , pp.391-9479, 1968.

N. Izumi, M. Yokokawa, and G. Parker, Incisional cyclic steps of permanent form in mixed 637, 2017.

. Rivers, Journal of Geophysical Research. Earth Surface, vol.122, pp.130-638, 2016003847.

C. Paola, D. Straub, L. Mohrig, and . Reinhardt, , p.640, 2009.

, of Stratigraphic and Geomorphic Experiments, Earth-Science Reviews v, vol.641, issue.97, pp.1-43

G. Parker and N. Izumi, Purely erosional cyclic and solitary steps created by flow over a cohesive bed, Journal of Fluid Mechanics, vol.419, issue.644, pp.203-238, 2000.
DOI : 10.1017/S0022112000001403

G. Parker, P. Wilcock, C. Paola, W. Dietrich, and J. Pitlick, Physical basis for quasi- 646 universal relations describing bankfull hydraulic geometry of single-thread gravel bed 647 rivers, Journal of Geophysical Research, pp.112-04005, 2007.