P. Ashmore, S. Peirce, and P. Leduc, Expanding the Active Layer: Discussion of Church and Haschenburger (2017) What is the Active Layer?, Water Resources Research, vol.53, issue.3, p.135, 2018.

L. V. Bendegom, Some considerations on river morphology and river improvement, Dutch. English translation: Nat. Res. Council of Canada, Technical Translation, vol.59, issue.4, p.135, 1947.

O. Cabrit, Modélisation des flux pariétaux sur les tuyères des moteurs à propergol solide, vol.58, p.135, 1926.

M. Church and J. K. Haschenburger, What is the active layer?, Water Resources Research, vol.53, issue.1, p.288, 2017.

M. Colombini, G. Seminara, and M. Tubino, Finite-amplitude alternate bars, Journal of Fluid Mechanics, vol.181, p.84, 1987.

F. Cordier, P. Tassi, N. Claude, A. Crosato, S. Rodrigues et al., Influence of sediment size heterogeneity on free and hybrid alternate bar morphodynamics, Water Resources Research, vol.56, p.175, 2017.

F. Cordier, P. Tassi, M. Jodeau, and B. Camenen, Large-scale morphodynamics structures in the Arc en Maurienne River (France), River Flow, vol.1, p.56, 2016.

A. Crosato and E. Mosselman, Simple physics-based predictor for the number of river bars and the transition between meandering and braiding, Water Resources Research, vol.45, issue.3, p.157, 2009.

A. B. De-saint-venant, Théorie du mouvement non permanent des eaux, avec application aux crues des rivières et à l'introduction des marées dans leurs lits, Comptes Rendus des séances de l'Académie des Sciences, vol.73, p.134, 1871.

A. Defina, Numerical experiments on bar growth, Water Resources Research, vol.39, issue.4, p.90, 2003.

I. Egiazaroff, Calculation of nonuniform sediment concentrations, Journal of the Hydraulics Division, vol.91, issue.4, p.68, 1965.

F. Engelund, Instability of erodible beds, Journal of Fluid Mechanics, vol.42, issue.2, p.130, 1970.

F. M. Exner, Zur physik der dünen, Hölder, vol.25, p.135, 1920.

Y. Fujita and Y. Muramoto, Studies on the process of development of alternate bars, Bulletin of the Disaster Prevention Research Institute, vol.35, p.84, 1985.

M. H. García, Sedimentation engineering. Processes, Measurements, Modeling, and Practice, ASCE Manuals and Reports on Engineering Practice, vol.110, p.136, 2008.

R. Hervouet, J. Razafindrakoto, E. Villaret, and C. , Dealing with dry zones in free surface flows: a new class of advection schemes, Proceedings of the 34th World Congress of the International Association for Hydro-Environment Research and Engineering: 33rd Hydrology and Water Resources Symposium and 10th Conference on Hydraulics in Water Engineering, vol.27, p.136, 2011.

M. Hirano, River bed degradation with armoring, Japanese Society of Civil Engineering. xii, vol.18, p.300, 1971.

F. Koch and C. Flokstra, Bed Level Computations for Curved Alluvial Channels: Prepared for the 19th IAHR Congress, Waterloopkundig Laboratorium, vol.26, p.139, 1980.

S. Lanzoni, Experiments on bar formation in a straight flume 1. Uniform sediment, Water Resources Research, vol.36, issue.11, p.174, 2000.

S. Lanzoni, Experiments on bar formation in a straight flume: 2. Graded sediment, Water Resources Research, vol.36, issue.11, p.174, 2000.

S. Lanzoni and M. Tubino, Grain sorting and bar instability, Journal of Fluid Mechanics, vol.393, p.84, 1999.

A. Mendoza, J. D. Abad, E. J. Langendoen, D. Wang, P. Tassi et al., Effect of Sediment Transport Boundary Conditions on the Numerical Modeling of Bed Morphodynamics, Journal of Hydraulic Engineering, vol.143, issue.4, p.174, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01709906

E. Meyer-peter and R. Müller, Formulas for bed-load transport, International Association for Hydraulic Structures Research. IAHR. 26, vol.28, p.155, 1948.

E. Mosselman, Modelling Sediment Transport and Morphodynamics of Gravel-Bed Rivers, Gravel-Bed Rivers: Processes, Tools, Environments, vol.1, p.84, 2012.

P. A. Nelson, R. R. Mcdonald, J. M. Nelson, and W. E. Dietrich, Coevolution of bed surface patchiness and channel morphology: 1. Mechanisms of forced patch formation, Journal of Geophysical Research: Earth Surface, vol.120, issue.9, p.155, 2015.

I. Nezu, H. Nakagawa, and G. H. Jirka, Turbulence in open-channel flows, Journal of Hydraulic Engineering, vol.120, issue.10, p.134, 1994.

G. Parker and P. C. Klingeman, On why gravel bed streams are paved, Water Resources Research, vol.18, issue.5, pp.1409-1423, 1982.

H. Qian, Z. Cao, H. Liu, and G. Pender, Numerical modelling of alternate bar formation, development and sediment sorting in straight channels, Earth Surface Processes and Landforms, vol.607, p.90, 2016.

F. Schuurman and M. Kleinhans, Self-formed braid bars in a numerical model, AGU Fall Meeting Abstracts, vol.56, p.61, 2011.

R. Singh, U. Crosato, A. Giri, S. Hicks, and M. , Sediment heterogeneity and mobility in the morphodynamic modelling of gravel-bed braided rivers, Advances in Water Resources, vol.104, p.174, 2017.

A. Siviglia and A. Crosato, Numerical modelling of river morphodynamics: latest developments and remaining challenges, Advances in Water Resources, vol.90, p.84, 2016.

A. Siviglia, G. Stecca, D. Vanzo, G. Zolezzi, E. F. Toro et al., Numerical modelling of two-dimensional morphodynamics with applications to river bars and bifurcations, Advances in Water Resources, vol.52, p.110, 2013.

C. An, Y. Cui, X. Fu, and G. Parker, Gravel-bed River Evolution in Earthquake-Prone Regions Subject to Cycled Hydrographs and Repeated Sediment Pulses, Earth Surface Processes and Landforms, vol.42, p.88, 2017.

P. Ashmore, S. Peirce, and P. Leduc, Expanding the Active Layer: Discussion of Church and Haschenburger (2017) What is the Active Layer?, Water Resources Research, vol.53, issue.3, p.135, 2018.

L. V. Bendegom, Some considerations on river morphology and river improvement, Dutch. English translation: Nat. Res. Council of Canada, Technical Translation, vol.59, issue.4, p.135, 1947.

O. Blanpain, Dynamique sédimentaire multiclasse: de l'étude des processus à la modélisation en Manche, vol.35, p.288, 2009.

A. Blom, Different approaches to handling vertical and streamwise sorting in modeling river morphodynamics, Water resources research, vol.44, issue.3, p.288, 2008.

P. Blondeaux and G. Seminara, A unified bar-bend theory of river meanders, Journal of Fluid Mechanics, vol.157, p.84, 1985.

J. Bridge and R. Demicco, Earth surface processes, landforms and sediment deposits, vol.83, p.131, 2008.

J. S. Bridge, Rivers and floodplains: forms, processes, and sedimentary record, John Wiley & Sons. xi, 4, vol.5, issue.10, p.155, 2003.

O. Cabrit, Modélisation des flux pariétaux sur les tuyères des moteurs à propergol solide, vol.58, p.135, 1926.

M. Church and J. K. Haschenburger, What is the active layer?, Water Resources Research, vol.53, issue.1, p.288, 2017.

N. Claude, S. Rodrigues, V. Bustillo, J. Bréhéret, P. Tassi et al., Interactions between flow structure and morphodynamic of bars in a channel expansion/contraction, Water Resources Research, vol.50, issue.4, p.175, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01710051

M. Colombini, G. Seminara, and M. Tubino, Finite-amplitude alternate bars, Journal of Fluid Mechanics, vol.181, p.84, 1987.

A. Crosato and F. Desta, Intrinsic steady alternate bars in alluvial channels. Part 1: experimental observations and numerical tests, Proc. of the 6th Symp. on River Coastal and Estuarine Morphodynamics, vol.2, p.101, 2009.

A. Crosato, F. B. Desta, J. Cornelisse, F. Schuurman, and W. S. Uijttewaal, Experimental and numerical findings on the long-term evolution of migrating alternate bars in alluvial channels, Water Resources Research, vol.48, issue.6, p.99, 2012.

A. References-crosato and E. Mosselman, Simple physics-based predictor for the number of river bars and the transition between meandering and braiding, Water Resources Research, vol.45, issue.3, p.157, 2009.

A. Crosato, E. Mosselman, F. Beidmariam-desta, and W. S. Uijttewaal, Experimental and numerical evidence for intrinsic nonmigrating bars in alluvial channels, Water Resources Research, vol.47, issue.3, p.131, 2011.

A. B. De-saint-venant, Théorie du mouvement non permanent des eaux, avec application aux crues des rivières et à l'introduction des marées dans leurs lits, Comptes Rendus des séances de l'Académie des Sciences, vol.73, p.134, 1871.

A. Defina, Numerical experiments on bar growth, Water Resources Research, vol.39, issue.4, p.90, 2003.

P. Diplas, Modelling of fine and coarse sediment interaction over alternate bars, Journal of Hydrology, vol.159, issue.1, p.109, 1994.

G. Duró, A. Crosato, and P. Tassi, Numerical study on river bar response to spatial variations of channel width, Advances in Water Resources, vol.93, p.153, 2016.

F. Engelund, Instability of erodible beds, Journal of Fluid Mechanics, vol.42, issue.2, p.130, 1970.

F. Engelund and O. Skovgaard, On the origin of meandering and braiding in alluvial streams, Journal of Fluid Mechanics, vol.57, issue.02, pp.289-302, 1973.

H. Enggrob and S. Tjerry, Simulation of morphological characteristics of a braided river, Proceedings of the IAHR Symposium on River, Coastal and Estuarine Morphodynamics, vol.I, pp.585-594, 1999.

F. M. Exner, Zur physik der dünen, Hölder, vol.25, p.135, 1920.

Y. Fujita and Y. Muramoto, Studies on the process of development of alternate bars, Bulletin of the Disaster Prevention Research Institute, vol.35, p.84, 1985.

M. H. García, Sedimentation engineering. Processes, Measurements, Modeling, and Practice, ASCE Manuals and Reports on Engineering Practice, vol.110, p.136, 2008.

I. Güneralp, J. D. Abad, G. Zolezzi, and J. Hooke, Advances and challenges in meandering channels research. Geomorphology, p.109, 2012.

J. Hervouet, E. Razafindrakoto, and C. Villaret, Dealing with dry zones in free surface flows: a new class of advection schemes, Proceedings of the 34th World Congress of the International Association for Hydro-Environment Research and Engineering: 33rd Hydrology and Water Resources Symposium and 10th Conference on Hydraulics in Water Engineering, vol.27, p.136, 2011.

M. Hirano, River bed degradation with armoring, Japanese Society of Civil Engineering. xii, vol.18, p.300, 1971.

R. Hoey, T. B. Ferguson, and R. , Numerical simulation of downstream fining by selective transport in gravel bed rivers: Model development and illustration, Water Resources Research, vol.30, issue.7, p.108, 1994.

M. Jaballah, B. Camenen, L. Pénard, and A. Paquier, Alternate bar development in an alpine river following engineering works, Fluvial Eco-Hydraulics And Morphodynamics, vol.81, pp.103-113, 2015.

C. Juez, C. Ferrer-boix, J. Murillo, M. Hassan, and P. García-navarro, A model based on Hirano-Exner equations for two-dimensional transient flows over heterogeneous erodible beds, Advances in Water Resources, vol.87, p.84, 2016.

F. Koch and C. Flokstra, Bed Level Computations for Curved Alluvial Channels: Prepared for the 19th IAHR Congress, Waterloopkundig Laboratorium, vol.26, p.139, 1980.

S. Lanzoni, Experiments on bar formation in a straight flume 1. Uniform sediment, Water Resources Research, vol.36, issue.11, p.174, 2000.

S. Lanzoni, Experiments on bar formation in a straight flume: 2. Graded sediment, Water Resources Research, vol.36, issue.11, p.174, 2000.

S. Lanzoni and M. Tubino, Grain sorting and bar instability, Journal of Fluid Mechanics, vol.393, p.84, 1999.

T. E. Lisle, H. Ikeda, and F. Iseya, Formation of stationary alternate bars in a steep channel with mixed-size sediment: A flume experiment, Earth Surface Processes and Landforms, vol.16, p.111, 1991.

T. E. Lisle and M. Madej, Spatial variation in armouring in a channel with high sediment supply, Dynamics of Gravel-bed Rivers, vol.1, p.109, 1992.

T. E. Lisle, J. M. Nelson, J. Pitlick, M. A. Madej, and B. L. Barkett, Variability of bed mobility in natural, gravel-bed channels and adjustments to sediment load at local and reach scales, Water Resources Research, vol.36, p.84, 2000.

A. Mendoza, J. D. Abad, E. J. Langendoen, D. Wang, P. Tassi et al., Effect of Sediment Transport Boundary Conditions on the Numerical Modeling of Bed Morphodynamics, Journal of Hydraulic Engineering, vol.143, issue.4, p.174, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01709906

E. Mosselman, Modelling Sediment Transport and Morphodynamics of Gravel-Bed Rivers, Gravel-Bed Rivers: Processes, Tools, Environments, vol.1, p.84, 2012.

E. Mosselman, A. Sieben, K. Sloff, and A. Wolters, Effect of spatial grain size variations on two-dimensional river bed morphology, Proceedings of River, Coastal and Estuarine Morphodynamics, vol.1, p.84, 1999.

P. A. References-nelson, R. R. Mcdonald, J. M. Nelson, and W. E. Dietrich, Coevolution of bed surface patchiness and channel morphology: 2. Numerical experiments, Journal of Geophysical Research: Earth Surface, vol.120, issue.9, p.162, 2015.

I. Nezu, H. Nakagawa, and G. H. Jirka, Turbulence in open-channel flows, Journal of Hydraulic Engineering, vol.120, issue.10, p.134, 1994.

J. Nikuradse, Laws of flow in rough pipes, NACA, vol.25, p.135, 1950.

C. Orrú, A. Blom, and W. S. Uijttewaal, Armor breakup and reformation in a degradational laboratory experiment, Earth Surface Dynamics, vol.4, issue.2, p.87, 2016.

G. Parker, Surface-based bedload transport relation for gravel rivers, Journal of hydraulic research, vol.28, issue.4, p.87, 1990.

G. Parker, M. Hassan, and P. Wilcock, Adjustment of the bed surface size distribution of gravel-bed rivers in response to cycled hydrographs, Developments in Earth Surface Processes, vol.11, p.86, 2007.

D. M. Powell, Patterns and processes of sediment sorting in gravel-bed rivers, Progress in Physical Geography, vol.22, issue.1, p.84, 1998.

D. M. Powell, A. Ockelford, S. P. Rice, J. K. Hillier, T. Nguyen et al., Structural properties of mobile armors formed at different flow strengths in gravelbed rivers, Journal of Geophysical Research: Earth Surface, vol.121, issue.8, p.87, 2016.

G. Proffitt and A. Sutherland, Transport of non-uniform sediments, Journal of Hydraulic Research, vol.21, issue.1, p.87, 1983.

H. Qian, Z. Cao, H. Liu, and G. Pender, Numerical modelling of alternate bar formation, development and sediment sorting in straight channels, Earth Surface Processes and Landforms, vol.607, p.90, 2016.

A. Recking, G. Piton, D. Vazquez-tarrio, and G. Parker, Quantifying the Morphological Print of Bedload Transport. Earth Surface Processes and Landforms, vol.41, p.135, 2015.

S. Rodrigues, N. Claude, P. Juge, and J. Breheret, An opportunity to connect the morphodynamics of alternate bars with their sedimentary products, Earth Surface Processes and Landforms, vol.37, p.155, 2012.
URL : https://hal.archives-ouvertes.fr/insu-00666083

R. Singh, U. Crosato, A. Giri, S. Hicks, and M. , Sediment heterogeneity and mobility in the morphodynamic modelling of gravel-bed braided rivers, Advances in Water Resources, vol.104, p.174, 2017.

A. Siviglia and A. Crosato, Numerical modelling of river morphodynamics: latest developments and remaining challenges, Advances in Water Resources, vol.90, p.84, 2016.

A. Siviglia, G. Stecca, D. Vanzo, G. Zolezzi, E. F. Toro et al., Numerical modelling of two-dimensional morphodynamics with applications to river bars and bifurcations, Advances in Water Resources, vol.52, p.110, 2013.

R. Soulsby, Dynamics of marine sands: a manual for practical applications, vol.26, p.88, 1997.

G. Stecca, A. Siviglia, and A. Blom, An accurate numerical solution to the Saint-VenantHirano model for mixed-sediment morphodynamics in rivers, Advances in Water Resources, vol.93, p.173, 2016.

R. Vanzo, D. Siviglia, A. Zolezzi, G. Stecca, G. Tubino et al., Interaction between steady and migrating bars in straight channels, RCEM 2011, vol.15, p.110, 2011.

E. Viparelli, A. Blom, and R. R. Moreira, Modeling Stratigraphy-Based Gravel-Bed River Morphodynamics, chapter Modeling Stratigraphy-Based Gravel-Bed River Morphodynamics, Ltd, vol.34, p.174, 2017.

C. B. Vreugdenhil, Numerical methods for shallow-water flow, vol.13, p.134, 2013.

T. Weiyan, Shallow Water Hydrodynamics: Mathematical Theory and Numerical Solution for a Two-dimensional System of, Shallow Water Equations. Number, vol.55, p.134, 1992.

P. R. Wilcock and J. C. Crowe, Surface-based transport model for mixed-size sediment, Journal of Hydraulic Engineering, vol.129, issue.2, p.173, 2003.

C. L. Wintenberger, S. Rodrigues, J. Bréhéret, and M. Villar, Fluvial islands: First stage of development from nonmigrating (forced) bars and woody-vegetation interactions, Geomorphology, vol.246, p.131, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01269311

W. Wu, Depth-averaged two-dimensional numerical modeling of unsteady flow and nonuniform sediment transport in open channels, Journal of hydraulic engineering, vol.130, issue.10, p.84, 2004.

G. Zolezzi and G. Seminara, Downstream and upstream influence in river meandering. Part 1. General theory and application to overdeepening, Journal of Fluid Mechanics, vol.438, p.135, 2001.

L. References-allan-james, Secular sediment waves, channel bed waves, and legacy sediment, Geography Compass, vol.4, issue.6, pp.576-598, 2010.

C. An, Y. Cui, X. Fu, and G. Parker, Gravel-bed River Evolution in Earthquake-Prone Regions Subject to Cycled Hydrographs and Repeated Sediment Pulses, Earth Surface Processes and Landforms, vol.42, p.88, 2017.

A. G. Anderson, G. Parker, and A. Wood, The flow and stability characteristics of alluvial river channels, vol.1, pp.1-116, 1975.

K. M. Andreadis, G. J. Schumann, .. Pavelsky, and T. , A simple global river bankfull width and depth database, Water Resources Research, vol.49, issue.10, p.133, 2013.

P. Ashmore, S. Peirce, and P. Leduc, Expanding the Active Layer: Discussion of Church and Haschenburger (2017) What is the Active Layer?, Water Resources Research, vol.53, issue.3, p.135, 2018.

P. E. Ashmore, Laboratory modelling of gravel braided stream morphology, Earth Surface Processes and Landforms, vol.7, pp.201-225, 1982.

F. Baart, M. Van-ormondt, . Van-thiel-de, J. Vries, and M. Van-koningsveld, Morphological Impact of a Storm Can Be Predicted Three Days Ahead, Computational Geosciences, vol.90, pp.17-23, 2016.

S. A. Bakker, Uncertainty analysis of the mud infill prediction of the olokola lng terminal, Terra et Aqua, vol.120, pp.9-18, 2009.

K. Bal, E. Struyf, H. Vereecken, P. Viaene, L. De-doncker et al., How do macrophyte distribution patterns affect hydraulic resistances?, Ecological Engineering, vol.37, issue.3, pp.529-533, 2011.

A. R. Bankert and P. A. Nelson, Alternate bar dynamics in response to increases and decreases of sediment supply, Sedimentology, vol.65, issue.3, p.156, 2018.

C. Below and H. Jol, Fluvial Processes of Braided Streams, 2005.

L. V. Bendegom, Some considerations on river morphology and river improvement, Dutch. English translation: Nat. Res. Council of Canada, Technical Translation, vol.59, issue.4, p.135, 1947.

W. Bertoldi, M. Tubino, and G. Zolezzi, Experimental observations of river bifurcations with uniform and graded sediments. AIRH, editor. River Flow, vol.8, p.13, 2002.

J. L. Best, P. J. Ashworth, C. S. Bristow, and J. Roden, Three-dimensional sedimentary architecture of a large, mid-channel sand braid bar, jamuna river, bangladesh, Journal of Sedimentary Research, vol.73, issue.4, pp.516-530, 2003.

R. Bittner, L. D. Nino, Y. Garcia, and M. H. , River Bed Response to Channel Width Variation: Theory and Experiments, vol.8, p.131, 1995.

O. Blanpain, Dynamique sédimentaire multiclasse: de l'étude des processus à la modélisation en Manche, vol.35, p.288, 2009.

B. Bleyel and R. Kopmann, Influence of the layer model (Hirano versus C-VSM) on a 2D sediment transport model, Proceedings TUC 2018, p.174, 2018.

A. Blom, Different approaches to handling vertical and streamwise sorting in modeling river morphodynamics, Water resources research, vol.44, issue.3, p.288, 2008.

A. Blom, H. De-vriend, G. Parker, and J. Ribberink, A Vertical Sorting Model for Rivers with Non-uniform Sediment and Dunes, p.34, 2003.

A. Blom, J. S. Ribberink, and G. Parker, Vertical sorting and the morphodynamics of bed form-dominated rivers: A sorting evolution model, Journal of Geophysical Research: Earth Surface, vol.113, issue.F1, p.34, 2008.

P. Blondeaux and G. Seminara, A unified bar-bend theory of river meanders, Journal of Fluid Mechanics, vol.157, p.84, 1985.

B. Bluck, Texture of gravel bars in braided streams. Gravel Bed Rivers, vol.1, pp.339-355, 1982.

J. Bosboom, A. J. Reniers, P. , and L. A. , On the perception of morphodynamic model skill, Coastal Engineering, vol.94, pp.112-125, 2014.

J. Bridge and R. Demicco, Earth surface processes, landforms and sediment deposits, vol.83, p.131, 2008.

J. S. Bridge, Rivers and floodplains: forms, processes, and sedimentary record, John Wiley & Sons. xi, 4, vol.5, issue.10, p.155, 2003.

J. M. Buffington, Changes in channel morphology over human time scales, vol.32, 2012.

. Treesearch, , vol.1, pp.435-463

O. Cabrit, Modélisation des flux pariétaux sur les tuyères des moteurs à propergol solide, vol.58, p.135, 1926.

R. Callander, Instability and river channels, Journal of Fluid Mechanics, vol.36, issue.03, pp.465-480, 1969.

C. Camporeale and L. Ridolfi, Riparian vegetation distribution induced by river flow variability: A stochastic approach, Water Resources Research, vol.42, issue.10, 2006.

F. Caponi and A. Siviglia, Numerical Modeling of Plant Root Controls on Gravel Bed River Morphodynamics, Geophysical Research Letters, 2018.

V. Chavarrias, G. Stecca, and A. Blom, Ill-posedness in modeling mixed sediment river morphodynamics, Advances in Water Resources, vol.114, p.174, 2018.

M. Church and J. K. Haschenburger, What is the active layer?, Water Resources Research, vol.53, issue.1, p.288, 2017.

N. References-claude, Processus et flux hydro-sédimentaires en rivière sablo-graveleuse: influence de la largeur de section et des bifurcations en Loire moyenne (France), vol.132, p.142, 2012.

N. Claude, S. Rodrigues, V. Bustillo, J. Bréhéret, J. Macaire et al., Estimating bedload transport in a large sand-gravel bed river from direct sampling, dune tracking and empirical formulas, Geomorphology, vol.179, p.134, 2012.

N. Claude, S. Rodrigues, V. Bustillo, J. Bréhéret, P. Tassi et al., Interactions between flow structure and morphodynamic of bars in a channel expansion/contraction, Water Resources Research, vol.50, issue.4, p.175, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01710051

M. Colombini, G. Seminara, and M. Tubino, Finite-amplitude alternate bars, Journal of Fluid Mechanics, vol.181, p.84, 1987.

F. Cordier, P. Tassi, C. , and N. , Influence of numerical and physical parameters on the modelling of free bar morphodynamics, XXVth TELEMAC-MASCARET User Conference Proceedings, vol.158, p.175, 2018.

F. Cordier, P. Tassi, N. Claude, A. Crosato, S. Rodrigues et al., Numerical modelling of graded sediment transport based on the experiments of Wilcock and Crowe, XXIIIrd TELEMAC-MASCARET User Conference Proceedings, vol.32, p.175, 2003.

F. Cordier, P. Tassi, N. Claude, A. Crosato, S. Rodrigues et al., Influence de l'étendue granulométrique sur la morphodynamique de barres alternées libres et hybrides, Transport Solide et Morphodynamique des Rivières 2017, p.175, 2017.

F. Cordier, P. Tassi, N. Claude, A. Crosato, S. Rodrigues et al., Influence of the graded sediment distribution and sediment supply on river bar patterns and dynamics, Book of proceedings RCEM 2017, p.175, 2017.

F. Cordier, P. Tassi, N. Claude, A. Crosato, S. Rodrigues et al., Morphodynamic modelling of alternate bars in channels with graded sediment, EGU 2017 -Book of abstracts, p.175, 2017.

F. Cordier, P. Tassi, N. Claude, A. Crosato, S. Rodrigues et al., Influence of hydrology, sediment supply and sediment gradation on river bar morphodynamics: application to the Loire River at Bréhémont (France), Book of Proceedings RiverFlow, p.175, 2018.

F. Cordier, P. Tassi, N. Claude, A. Crosato, S. Rodrigues et al., Numerical study of alternate bars in alluvial channels with nonuniform sediment, Water Resources Research, vol.55, issue.0, p.175, 2019.

F. Cordier, P. Tassi, M. Jodeau, and B. Camenen, Large-scale morphodynamics structures in the Arc en Maurienne River (France), River Flow, vol.1, p.56, 2016.

A. Crosato, Analysis and modelling of river meandering, vol.7, p.131, 2008.

A. References-crosato and F. Desta, Intrinsic steady alternate bars in alluvial channels. Part 1: experimental observations and numerical tests, Proc. of the 6th Symp. on River Coastal and Estuarine Morphodynamics, vol.2, p.101, 2009.

A. Crosato, F. B. Desta, J. Cornelisse, F. Schuurman, and W. S. Uijttewaal, Experimental and numerical findings on the long-term evolution of migrating alternate bars in alluvial channels, Water Resources Research, vol.48, issue.6, p.99, 2012.

A. Crosato and E. Mosselman, Simple physics-based predictor for the number of river bars and the transition between meandering and braiding, Water Resources Research, vol.45, issue.3, p.157, 2009.

A. Crosato, E. Mosselman, F. Beidmariam-desta, and W. S. Uijttewaal, Experimental and numerical evidence for intrinsic nonmigrating bars in alluvial channels, Water Resources Research, vol.47, issue.3, p.131, 2011.

Y. Cui, The Unified Gravel-Sand (TUGS) Model: Simulating Sediment Transport and Gravel/Sand Grain Size Distributions in Gravel-Bedded Rivers, Water resources research, vol.43, issue.10, pp.1-16, 2007.

Y. Cui, G. Parker, T. E. Lisle, J. Gott, M. E. Hansler-ball et al., Sediment pulses in mountain rivers: 1. Experiments, Water Resources Research, vol.39, issue.9, pp.1-12, 2003.

Y. Cui, G. Parker, J. Pizzuto, and T. E. Lisle, Sediment pulses in mountain rivers: 2. Comparison between experiments and numerical predictions, Water Resources Research, vol.39, issue.9, pp.1-11, 2003.

G. Dam, M. Wegen, R. J. Labeur, and D. Roelvink, Modeling centuries of estuarine morphodynamics in the Western Scheldt estuary, Geophysical Research Letters, vol.43, issue.8, pp.3839-3847, 2016.

M. De-linares, Two-dimensional numerical modelling of bed load transport and fluvial morphology. Validation on two sites on the Loire river and on the Arc river, vol.34, p.44, 2007.
URL : https://hal.archives-ouvertes.fr/tel-00193119

M. De-linares and P. Belleudy, Critical Shear Stress of Bimodal Sediment in Sand-Gravel Rivers, Journal of Hydraulic Engineering, vol.133, issue.5, p.297, 2007.
URL : https://hal.archives-ouvertes.fr/insu-00386813

A. B. De-saint-venant, Théorie du mouvement non permanent des eaux, avec application aux crues des rivières et à l'introduction des marées dans leurs lits, Comptes Rendus des séances de l'Académie des Sciences, vol.73, p.134, 1871.

A. Defina, Numerical experiments on bar growth, Water Resources Research, vol.39, issue.4, p.90, 2003.

B. Dhont and C. Ancey, Are Bedload Transport Pulses in Gravel Bed Rivers Created by Bar Migration or Sediment Waves?, Geophysical Research Letters, vol.45, issue.11, pp.5501-5508, 2018.

P. Diplas, Modelling of fine and coarse sediment interaction over alternate bars, Journal of Hydrology, vol.159, issue.1, p.109, 1994.

G. References-duró, A. Crosato, and P. Tassi, Numerical experiments to explore bar management by channel width variations, E-proceedings of the 36-th IAHR World Congress, vol.1, p.61, 2015.

G. Duró, A. Crosato, and P. Tassi, Numerical study on river bar response to spatial variations of channel width, Advances in Water Resources, vol.93, p.153, 2016.

A. E. East, G. R. Pess, J. A. Bountry, C. S. Magirl, A. C. Ritchie et al., Large-scale dam removal on the Elwha River, channel and floodplain geomorphic change. Geomorphology, vol.228, pp.765-786, 2015.

J. Eekhout, A. Hoitink, and E. Mosselman, Field experiment on alternate bar development in a straight sand-bed stream, Water Resources Research, vol.49, issue.12, pp.8357-8369, 2013.

I. Egiazaroff, Calculation of nonuniform sediment concentrations, Journal of the Hydraulics Division, vol.91, issue.4, p.68, 1965.

H. A. Einstein, The bed-load function for sediment transportation in open channel flows. Number 1026. US Department of Agriculture, p.11, 1950.

F. Engelund, Instability of erodible beds, Journal of Fluid Mechanics, vol.42, issue.2, p.130, 1970.

F. Engelund and E. Hansen, A monograph on sediment transport in alluvial streams, p.28, 1967.

F. Engelund and O. Skovgaard, On the origin of meandering and braiding in alluvial streams, Journal of Fluid Mechanics, vol.57, issue.02, pp.289-302, 1973.

H. Enggrob and S. Tjerry, Simulation of morphological characteristics of a braided river, Proceedings of the IAHR Symposium on River, Coastal and Estuarine Morphodynamics, vol.I, pp.585-594, 1999.

F. M. Exner, Zur physik der dünen, Hölder, vol.25, p.135, 1920.

B. Federici and G. Seminara, On the convective nature of bar instability, Journal of Fluid Mechanics, vol.487, issue.9, pp.125-145, 2003.

S. Francalanci, L. Solari, and M. Toffolon, Local high-slope effects on sediment transport and fluvial bed form dynamics, Water Resources Research, vol.65, issue.5, pp.1-15, 2009.

Y. Fujita and Y. Muramoto, Studies on the process of development of alternate bars, Bulletin of the Disaster Prevention Research Institute, vol.35, p.84, 1985.

M. García and Y. Niño, Dynamics of sediment bars in straight and meandering channels: experiments on the resonance phenomenon, Journal of Hydraulic Research, vol.31, issue.6, p.131, 1993.

M. H. García, Sedimentation engineering. Processes, Measurements, Modeling, and Practice, ASCE Manuals and Reports on Engineering Practice, vol.110, p.136, 2008.

G. K. Gilbert, J. D. Abad, G. Zolezzi, and J. Hooke, Hydraulic-mining debris in the Sierra Nevada. US Government Printing Office. References Güneralp, I, Advances and challenges in meandering channels research. Geomorphology, p.109, 1917.

P. Hall, Alternating bar instabilities in unsteady channel flows over erodible beds, Journal of Fluid mechanics, vol.499, p.130, 2004.

E. Hansen, On the formation of meanders as a stability problem, progress report, vol.13, p.9, 1967.

J. Hervouet, E. Razafindrakoto, and C. Villaret, Dealing with dry zones in free surface flows: a new class of advection schemes, Proceedings of the 34th World Congress of the International Association for Hydro-Environment Research and Engineering: 33rd Hydrology and Water Resources Symposium and 10th Conference on Hydraulics in Water Engineering, vol.27, p.136, 2011.

M. Hirano, River bed degradation with armoring, Japanese Society of Civil Engineering. xii, vol.18, p.300, 1971.

M. Hirano, Studies on variation and equilibrium state of a river bed composed of nonuniform material, Trans. Jpn. Soc. Civ. Eng, vol.4, p.36, 1972.

T. B. Hoey and R. Ferguson, Numerical simulation of downstream fining by selective transport in gravel bed rivers: Model development and illustration, Water Resources Research, vol.30, issue.7, p.108, 1994.

R. Humphries, J. G. Venditti, L. S. Sklar, and J. K. Wooster, Experimental evidence for the effect of hydrographs on sediment pulse dynamics in gravel-bedded rivers, Water Resources Research, vol.48, issue.1, pp.1-10, 2012.

F. Huthoff, Theory for flow resistance caused by submerged roughness elements, Journal of Hydraulic Research, vol.50, issue.1, p.136, 2012.

S. Ikeda, G. Parker, and K. Sawai, Bend theory of river meanders, Journal of Fluid Mechanics, vol.112, issue.13, pp.363-377, 1981.

T. Iwasaki, Y. Shimizu, and I. Kimura, Numerical simulation of bar and bank erosion in a vegetated floodplain: A case study in the Otofuke River, Advances in Water Resources, issue.13, pp.1-17, 2015.

T. Iwasaki, Y. Shimizu, and I. Kimura, Sensitivity of free bar morphology in rivers to secondary flow modeling: Linear stability analysis and numerical simulation, Advances in water resources, vol.92, p.175, 2016.

M. Jaballah, B. Camenen, L. Pénard, and A. Paquier, Alternate bar development in an alpine river following engineering works, Fluvial Eco-Hydraulics And Morphodynamics, vol.81, pp.103-113, 2015.

C. Jourdain, N. Claude, G. Antoine, P. Tassi, and F. Cordier, Morphodynamics of alternate bars in the presence of riparian vegetation: insights from numerical modeling, Earth Surface Processes and Landforms, vol.13, p.172, 2018.

R. Juez, C. Ferrer-boix, C. Murillo, J. Hassan, M. García-navarro et al., A model based on Hirano-Exner equations for two-dimensional transient flows over heterogeneous erodible beds, Advances in Water Resources, vol.87, p.84, 2016.

M. Kleinhans, Experimental dune trough scour in sediment mixtures. Marine Sandwave and RIver Dune Dynamics, p.45, 2004.

M. G. Kleinhans, . Van-den, and J. H. Berg, River channel and bar patterns explained and predicted by an empirical and a physics-based method, Earth Surface Processes and Landforms, vol.36, pp.721-738, 2011.

F. Koch and C. Flokstra, Bed Level Computations for Curved Alluvial Channels: Prepared for the 19th IAHR Congress, Waterloopkundig Laboratorium, vol.26, p.139, 1980.

O. Korup, A. L. Densmore, and F. Schlunegger, The role of landslides in mountain range evolution, Geomorphology, vol.120, issue.1, pp.77-90, 2010.

E. J. Langendoen, A. Mendoza, J. D. Abad, P. Tassi, D. Wang et al., Improved numerical modeling of morphodynamics of rivers with steep banks, Advances in Water Resources, p.16, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01709913

S. Lanzoni, Experiments on bar formation in a straight flume 1. Uniform sediment, Water Resources Research, vol.36, issue.11, p.174, 2000.

S. Lanzoni, Experiments on bar formation in a straight flume: 2. Graded sediment, Water Resources Research, vol.36, issue.11, p.174, 2000.

S. Lanzoni and M. Tubino, Grain sorting and bar instability, Journal of Fluid Mechanics, vol.393, p.84, 1999.

T. Le, A. Crosato, E. Mosselman, and W. Uijttewaal, On the stability of river bifurcations created by longitudinal training walls. Numerical investigation, Advances in Water Resources, vol.113, issue.5, pp.112-125, 2018.

T. Le, A. Crosato, and W. Uijttewaal, Long-term morphological developments of river channels separated by a longitudinal training wall, Advances in Water Resources, vol.113, issue.5, pp.73-85, 2018.

J. Le-guern, Morphodynamique et interactions des barres et des dunes dans un cours d'eau sablo-graveleux. Compréhension des processus et quantification des flux solides à l'entrée du bief esturarien de la Loire, p.175, 2018.

L. Leopold and M. Wolman, River channel patterns, Fluv Geom: Geom Crit Conc, vol.1, pp.3-3, 1957.

L. B. Leopold and W. B. Langbein, The concept of entropy in landscape evolution. US Government Printing Office, 1962.

R. Leroux, C. Goeury, K. E. Abderrezzak, P. Tassi, G. L. Loggia et al., Uncertainty Quantification in 2D Morphodynamic Model: Application to the Gironde Estuary, HIC 2018. 13th International Conference on Hydroinformatics, vol.3, p.175, 2018.

T. E. References-lisle, H. Ikeda, and F. Iseya, Formation of stationary alternate bars in a steep channel with mixed-size sediment: A flume experiment, Earth Surface Processes and Landforms, vol.16, p.111, 1991.

T. E. Lisle, F. Iseya, and H. Ikeda, Response of a channel with alternate bars to a decrease in supply of mixed-size bed load: A flume experiment, Water Resources Research, vol.29, issue.11, pp.3623-3629, 1993.

T. E. Lisle and M. Madej, Spatial variation in armouring in a channel with high sediment supply, Dynamics of Gravel-bed Rivers, vol.1, p.109, 1992.

T. E. Lisle, J. M. Nelson, J. Pitlick, M. A. Madej, and B. L. Barkett, Variability of bed mobility in natural, gravel-bed channels and adjustments to sediment load at local and reach scales, Water Resources Research, vol.36, p.84, 2000.

T. E. Lisle, J. E. Pizzuto, H. Ikeda, F. Iseya, and Y. Kodama, Evolution of a sediment wave in an experimental channel, Water Resources Research, vol.33, issue.8, pp.1971-1981, 1997.

R. Luchi, J. Hooke, G. Zolezzi, and W. Bertoldi, Width variations and mid-channel bar inception in meanders: River Bollin (UK), Geomorphology, vol.119, issue.1, p.131, 2010.

M. A. Madej, D. G. Sutherland, T. E. Lisle, and B. Pryor, Channel responses to varying sediment input: A flume experiment modeled after Redwood Creek, California. Geomorphology, vol.103, issue.4, pp.507-519, 2009.

A. Marzadri, D. Tonina, A. Bellin, G. Vignoli, and M. Tubino, Semianalytical analysis of hyporheic flow induced by alternate bars, Water Resources Research, vol.46, issue.7, p.14, 2010.

S. T. Meles, Effects of suspended sediments on river bars, Unesco IHE Delft, vol.18, p.173, 2015.

A. Mendoza, J. D. Abad, E. J. Langendoen, D. Wang, P. Tassi et al., Effect of Sediment Transport Boundary Conditions on the Numerical Modeling of Bed Morphodynamics, Journal of Hydraulic Engineering, vol.143, issue.4, p.174, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01709906

U. Merkel, A continuous sediment layer concept for Sisyphe, 18th Telemac-Mascaret User Club, p.174, 2011.

U. Merkel, C-VSM-II: Large Scale and Long Time Simulations with Sisyphe's Continuous Vertical Grain Sorting Model, Proceedings of the 24th Telemac-Mascaret User Conference, p.174, 2017.

U. Merkel and R. Kopmann, Continuous Vertical Grain Sorting for TELEMAC & SISYPHE v6p2, Proceedings XIXth TELEMAC-MASCARET User Conference, p.174, 2012.

E. Meyer-peter and R. Müller, Formulas for bed-load transport, International Association for Hydraulic Structures Research. IAHR. 26, vol.28, p.155, 1948.

R. T. Milhous, Sediment transport in a gravel-bottomed stream, p.11, 1973.

H. Miwa, A. Daido, Y. , and J. , Growth and transformation of alternate bars under sinusoidal wave flood conditions, Bulletin of Maizuru National College of Technology, vol.38, p.130, 2003.

H. References-miwa, A. Daido, Y. , and J. , Effects of sediment supply and grain sorting on low-watercourse formation in channel with alternate bars, Proceedings of hydraulic engineering, vol.49, pp.949-954, 2005.

H. Miwa and G. Parker, Numerical simulation of low-flow channel evolution due to sediment augmentation, International Journal of Sediment Research, vol.27, p.123, 2012.

J. Mossa, The Natural and Human Structuring of Rivers and other Geomorphic Systems: A Special Issue in Honor of William L, Geomorphology, vol.252, pp.112-127, 2016.

E. Mosselman, Waterways of Russia: engineering, operation and maintenance, management, part III, Proceedings of the international scientific and business conference, 2010.

E. Mosselman, Modelling Sediment Transport and Morphodynamics of Gravel-Bed Rivers, Gravel-Bed Rivers: Processes, Tools, Environments, vol.1, p.84, 2012.

E. Mosselman, K. I. Hassan, and A. Sieben, Effect of spatial grain size variations in two-dimensional morphological computations with uniform sediment, Proceedings IAHR Symposium River, Coastal and Estuarine Morphodynamics, p.16, 2003.

E. Mosselman, A. Sieben, K. Sloff, and A. Wolters, Effect of spatial grain size variations on two-dimensional river bed morphology, Proceedings of River, Coastal and Estuarine Morphodynamics, vol.1, p.84, 1999.

S. Naqshband, J. Ribberink, S. Hulscher, D. ;. Hurther, G. De-cesare et al., Sediment transport distribution along developing sand dunes, Schleiss, vol.18, p.173, 2014.

A. Nelson and K. Dubé, Channel response to an extreme flood and sediment pulse in a mixed bedrock and gravel-bed river, Earth Surface Processes and Landforms, vol.41, p.131, 2015.

J. M. Nelson, The initial instability and finite-amplitude stability of alternate bars in straight channels, Earth-Science Reviews, vol.29, issue.1, p.131, 1990.

P. A. Nelson, Bed surface patchiness in gravel-bed rivers, 2010.

P. A. Nelson, R. R. Mcdonald, J. M. Nelson, and W. E. Dietrich, Coevolution of bed surface patchiness and channel morphology: 1. Mechanisms of forced patch formation, Journal of Geophysical Research: Earth Surface, vol.120, issue.9, p.155, 2015.

P. A. Nelson, R. R. Mcdonald, J. M. Nelson, and W. E. Dietrich, Coevolution of bed surface patchiness and channel morphology: 2. Numerical experiments, Journal of Geophysical Research: Earth Surface, vol.120, issue.9, p.162, 2015.

P. A. Nelson and J. A. Morgan, Flume experiments on flow and sediment supply controls on gravel bedform dynamics. Geomorphology, vol.9, p.130, 2018.

I. References-nezu, H. Nakagawa, and G. H. Jirka, Turbulence in open-channel flows, Journal of Hydraulic Engineering, vol.120, issue.10, p.134, 1994.

A. P. Nicholas, Modelling the continuum of river channel patterns, Earth Surface Processes and Landforms, vol.38, pp.1187-1196, 2013.

J. Nikuradse, Laws of flow in rough pipes, NACA, vol.25, p.135, 1950.

C. Orrú, A. Blom, and W. S. Uijttewaal, Armor breakup and reformation in a degradational laboratory experiment, Earth Surface Dynamics, vol.4, issue.2, p.87, 2016.

A. Paetzold, C. J. Schubert, and K. Tockner, Aquatic terrestrial linkages along a braidedriver: riparian arthropods feeding on aquatic insects, Ecosystems, vol.8, issue.7, pp.748-759, 2005.

G. Parker, Surface-based bedload transport relation for gravel rivers, Journal of hydraulic research, vol.28, issue.4, p.87, 1990.

G. Parker, M. Hassan, and P. Wilcock, Adjustment of the bed surface size distribution of gravel-bed rivers in response to cycled hydrographs, Developments in Earth Surface Processes, vol.11, p.86, 2007.

G. Parker and P. C. Klingeman, On why gravel bed streams are paved, Water Resources Research, vol.18, issue.5, pp.1409-1423, 1982.

G. Parker, P. C. Klingeman, and D. G. Mclean, Bedload and size distribution in paved gravel-bed streams, Journal of the Hydraulics Division, vol.108, issue.4, p.28, 1982.

G. Parker, C. Paola, and S. Leclair, Probabilistic Exner Sediment Continuity Equation for Mixtures with No Active Layer, Journal of Hydraulic Engineering, vol.126, issue.11, pp.818-826, 2000.

G. Parker, Y. Shimizu, G. Wilkerson, E. C. Eke, J. D. Abad et al., A new framework for modeling the migration of meandering rivers, Earth Surface Processes and Landforms, vol.36, pp.70-86, 2011.

G. Parker and P. R. Wilcock, Sediment feed and recirculating flumes: Fundamental difference, Journal of Hydraulic Engineering, vol.119, issue.11, 1993.

T. C. Pierson, P. T. Pringle, C. , and K. A. , Magnitude and timing of downstream channel aggradation and degradation in response to a dome-building eruption at Mount Hood, Oregon. Geological Society of America Bulletin, vol.123, issue.1-2, pp.3-20, 2011.

C. J. Podolak and P. R. Wilcock, Experimental study of the response of a gravel streambed to increased sediment supply, Earth Surface Processes and Landforms, vol.38, p.10, 2013.

D. M. Powell, Patterns and processes of sediment sorting in gravel-bed rivers, Progress in Physical Geography, vol.22, issue.1, p.84, 1998.

D. M. Powell, A. Ockelford, S. P. Rice, J. K. Hillier, T. Nguyen et al., Structural properties of mobile armors formed at different flow strengths in gravelbed rivers, Journal of Geophysical Research: Earth Surface, vol.121, issue.8, p.87, 2016.

R. Proffitt, G. Sutherland, and A. , Transport of non-uniform sediments, Journal of Hydraulic Research, vol.21, issue.1, p.87, 1983.

H. Qian, Z. Cao, H. Liu, and G. Pender, Numerical modelling of alternate bar formation, development and sediment sorting in straight channels, Earth Surface Processes and Landforms, vol.607, p.90, 2016.

A. Recking, A comparison between flume and field bed load transport data and consequences for surface-based bed load transport prediction, Water Resources Research, vol.46, issue.3, pp.1-16, 2010.

A. Recking, G. Piton, D. Vazquez-tarrio, and G. Parker, Quantifying the Morphological Print of Bedload Transport. Earth Surface Processes and Landforms, vol.41, p.135, 2015.

M. Reisenbüchler, M. D. Bui, and P. Rutschmann, Implementation of a new LayerSubroutine for fractional sediment transport in SISYPHE, XXIIIrd TELEMAC-MASCARET User Conference 2016 Proceedings Book, vol.35, p.36, 2016.

R. Repetto, M. Tubino, P. , and C. , Planimetric instability of channels with variable width, Journal of Fluid Mechanics, vol.457, p.131, 2002.

P. E. Robins, M. J. Lewis, J. Freer, D. M. Cooper, C. J. Skinner et al., Improving estuary models by reducing uncertainties associated with river flows, Estuarine, Coastal and Shelf Science, vol.207, pp.63-73, 2018.

S. Rodrigues, J. Bréhéret, J. Macaire, F. Moatar, D. Nistoran et al., Flow and sediment dynamics in the vegetated secondary channels of an anabranching river: the loire river (france), Sedimentary Geology, vol.186, issue.1-2, pp.89-109, 2006.

S. Rodrigues, N. Claude, P. Juge, and J. Breheret, An opportunity to connect the morphodynamics of alternate bars with their sedimentary products, Earth Surface Processes and Landforms, vol.37, p.155, 2012.
URL : https://hal.archives-ouvertes.fr/insu-00666083

S. Rodrigues, P. Le-hir, F. Moatar, C. , and N. , Transferts de particules dans le continuum fluvio-estuarien. La loire fluviale et estuarienne : un milieu en evolution, vol.1, pp.85-111, 2016.

S. Rodrigues, E. Mosselman, N. Claude, C. L. Wintenberger, J. et al., Alternate bars in a sandy gravel bed river: generation, migration and interactions with superimposed dunes, Earth Surface Processes and Landforms, vol.40, p.155, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01763281

R. M. Schielen, Nonlinear stability analysis and pattern formation in morphological models, 1995.

S. A. Schumm, Evolution and response of the fluvial system, sedimentologic implications. Recent and Ancient Nonmarine Depositional Environments: Models for Exploration, vol.31, p.4, 1981.

F. Schuurman and M. Kleinhans, Self-formed braid bars in a numerical model, AGU Fall Meeting Abstracts, vol.56, p.61, 2011.

V. Scorpio, S. Zen, W. Bertoldi, N. Surian, M. Mastronunzio et al., Channelization of a large Alpine river: what is left of its original morphodynamics?, Earth Surface Processes and Landforms, vol.43, p.15, 2018.

R. Seal, R. Paola, C. Parker, G. Southard, J. B. Wilcock et al., Experiments on downstream fining of gravel: I. Narrow-channel runs, Journal of Hydraulic Engineering, vol.123, issue.10, p.108, 1997.

G. Seminara, Stability and morphodynamics, Meccanica, vol.33, issue.1, p.130, 1998.

A. J. Serlet, A. M. Gurnell, G. Zolezzi, G. Wharton, P. Belleudy et al., Biomorphodynamics of alternate bars in a channelized, regulated river: An integrated historical and modelling analysis, Earth Surface Processes and Landforms, vol.43, issue.9, pp.1739-1756, 2018.

J. B. Shaw, D. Mohrig, and S. K. Whitman, The morphology and evolution of channels on the Wax Lake Delta, Journal of Geophysical Research: Earth Surface, vol.118, issue.3, pp.1562-1584, 2013.

A. Shields, Anwendung der Aehnlichkeitsmechanik und der Turbulenzforschung auf die Geschiebebewegung, p.26, 1936.

U. Singh, A. Crosato, S. Giri, and M. Hicks, Sediment heterogeneity and mobility in the morphodynamic modelling of gravel-bed braided rivers, Advances in Water Resources, vol.104, p.174, 2017.

A. Siviglia and A. Crosato, Numerical modelling of river morphodynamics: latest developments and remaining challenges, Advances in Water Resources, vol.90, p.84, 2016.

A. Siviglia, G. Stecca, and A. Blom, Modelling of Mixed-Sediment Morphodynamics in Gravel-Bed Rivers Using the Active-Layer Approach, chapter 26, vol.34, p.174, 2017.

A. Siviglia, G. Stecca, D. Vanzo, G. Zolezzi, E. F. Toro et al., Numerical modelling of two-dimensional morphodynamics with applications to river bars and bifurcations, Advances in Water Resources, vol.52, p.110, 2013.

C. Sloff, M. Bernabè, and T. Baur, On the stability of the Pannerdense Kop river bifurcation, Proc. 3rd IAHR Symposium on River, Coastal and Estuarine Morphodynamics: Proceedings RCEM, vol.16, 2003.

R. Soulsby, Dynamics of marine sands: a manual for practical applications, vol.26, p.88, 1997.

J. Southard, Introduction to Fluid Motions, Sediment Transport, and CurrentGenerated Sedimentary Structures, Massachusetts Institute of Technology: MIT OpenCourseWare, 2006.

G. Stecca, A. Siviglia, and A. Blom, Mathematical analysis of the Saint-Venant-Hirano model for mixed-sediment morphodynamics, Water Resources Research, vol.50, issue.10, p.173, 2014.

G. Stecca, A. Siviglia, and A. Blom, An accurate numerical solution to the Saint-VenantHirano model for mixed-sediment morphodynamics in rivers, Advances in Water Resources, vol.93, p.173, 2016.

R. Struiksma, N. Crosato, and A. , Analysis of a 2-D Bed Topography Model for Rivers, vol.56, p.106, 1989.

N. Struiksma, K. Olesen, C. Flokstra, D. Vriend, and H. , Bed deformation in curved alluvial channels, Journal of Hydraulic Research, vol.23, issue.1, p.131, 1985.

J. Sun, B. Lin, Y. , and H. , Development and application of a braided river model with non-uniform sediment transport, Advances in water resources, vol.81, pp.62-74, 2015.

Z. Sun and J. Donahue, Statistically derived bedload formula for any fraction of nonuniform sediment, Journal of Hydraulic Engineering, vol.126, issue.2, pp.105-111, 2000.

A. Sutherland, Static armour layers by selective erosion. Sediment Transfer in Gravel-Bed Rivers, pp.243-260, 1987.

R. Toro-escobar, C. M. Paola, C. Parker, G. Wilcock, P. R. Southard et al., Experiments on downstream fining of gravel. II: Wide and sandy runs, Journal of Hydraulic Engineering, vol.126, issue.3, p.108, 2000.

M. Tritthart, M. Liedermann, B. Schober, and H. Habersack, Non-uniformity and layering in sediment transport modelling 2: river application, Journal of Hydraulic Research, vol.49, issue.3, p.84, 2011.

M. Tritthart, B. Schober, and H. Habersack, Non-uniformity and layering in sediment transport modelling 1: flume simulations, Journal of Hydraulic research, vol.49, issue.3, p.84, 2011.

M. Tubino, Growth of alternate bars in unsteady flow, Water Resources Research, vol.27, issue.1, pp.37-52, 1991.

M. Tubino, R. Repetto, and G. Zolezzi, Free bars in rivers, Journal of Hydraulic Research, vol.37, issue.6, p.111, 1999.

M. Tubino and G. Seminara, Free-forced interactions in developing meanders and suppression of free bars, Journal of Fluid Mechanics, vol.214, p.84, 1990.

C. Van-der-mark and A. Blom, A new and widely applicable tool for determining the geometric properties of bedforms, 2007.

C. Van-der-meer, E. Mosselman, C. Sloff, B. Jagers, G. Zolezzi et al., Numerical simulations of upstream and downstream overdeepening, RCEM 2011: Proceedings of the 7th IAHR Symposium of River, Coastal and Estuarine Morphodynamics, vol.26, p.135, 2011.

D. S. Van-maren and K. Cronin, Uncertainty in complex three-dimensional sediment transport models: equifinality in a model application of the Ems Estuary, the Netherlands, Ocean Dynamics, vol.66, issue.12, pp.1665-1679, 2016.

L. C. Van-rijn, Sediment transport, part III: bed forms and alluvial roughness, Journal of hydraulic engineering, vol.110, issue.12, p.175, 1984.

D. Vanzo, A. Siviglia, G. Zolezzi, G. Stecca, and M. Tubino, Interaction between steady and migrating bars in straight channels, RCEM 2011, vol.15, p.110, 2011.

J. Venditti, W. Dietrich, P. Nelson, M. Wydzga, J. Fadde et al., Effect of sediment pulse grain size on sediment transport rates and bed mobility in gravel bed rivers, Journal of Geophysical Research: Earth Surface, vol.115, issue.F3, pp.1-11, 2010.

J. Venditti, P. Nelson, J. Minear, J. Wooster, D. et al., Alternate bar response to sediment supply termination, Journal of Geophysical Research: Earth Surface, vol.117, issue.F2, pp.1-12, 2012.

C. A. Vionnet, P. A. Tassi, M. Vide, and J. P. , Estimates of flow resistance and eddy viscosity coefficients for 2D modelling on vegetated floodplains, Hydrological Processes, vol.18, pp.2907-2926, 2004.
URL : https://hal.archives-ouvertes.fr/hal-01710004

E. Viparelli, A. Blom, and R. R. Moreira, Modeling Stratigraphy-Based Gravel-Bed River Morphodynamics, chapter Modeling Stratigraphy-Based Gravel-Bed River Morphodynamics, Ltd, vol.34, p.174, 2017.

R. Viparelli, E. Sequeiros, O. E. Cantelli, A. Wilcock, P. R. Parker et al., River morphodynamics with creation/consumption of grain size stratigraphy 2: numerical model, Journal of Hydraulic Research, vol.48, issue.6, p.288, 2010.

C. B. Vreugdenhil, Numerical methods for shallow-water flow, vol.13, p.134, 2013.

D. Wang, P. Tassi, K. El-kadi-abderrezzak, A. Mendoza, J. Abad et al., 2D and 3D numerical simulations of morphodynamics structures in large-amplitude meanders, River Flow, vol.1, pp.1105-1111, 2014.

T. Weiyan, Shallow Water Hydrodynamics: Mathematical Theory and Numerical Solution for a Two-dimensional System of, Shallow Water Equations. Number, vol.55, p.134, 1992.

P. J. Whiting and W. E. Dietrich, Experimental constraints on bar migration through bends: Implications for meander wavelength selection, Water Resources Research, vol.29, issue.4, p.131, 1993.

P. J. Whiting, W. E. Dietrich, L. B. Leopold, T. G. Drake, and R. L. Shreve, Bedload sheets in heterogeneous sediment, Geology, vol.16, issue.2, pp.105-108, 1988.

P. R. Wilcock and J. C. Crowe, Surface-based transport model for mixed-size sediment, Journal of Hydraulic Engineering, vol.129, issue.2, p.173, 2003.

P. R. Wilcock and B. W. Mcardell, Surface-based fractional transport rates: Mobilization thresholds and partial transport of a sand-gravel sediment, Water Resources Research, vol.29, issue.4, 1993.

C. L. Wintenberger, S. Rodrigues, J. Bréhéret, and M. Villar, Fluvial islands: First stage of development from nonmigrating (forced) bars and woody-vegetation interactions, Geomorphology, vol.246, p.131, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01269311

C. L. Wintenberger, S. Rodrigues, P. Jugé, and M. Villar, Survie des semis de ligneux pionniers dans les lits fluviaux: approche in et ex situ des facteurs de contrôle abiotiques et biologiques des espèces Populus nigra et Salix alba. Géomorphologie: relief, processus, environnement, vol.23, pp.233-252, 2017.

F. Wu, Y. Shao, C. , and Y. , Quantifying the forcing effect of channel width variations on free bars: Morphodynamic modeling based on characteristic dissipative Galerkin scheme, Journal of Geophysical Research, vol.116, issue.F3, p.131, 2011.

F. Wu and K. Yang, A stochastic partial transport model for mixed-size sediment: Application to assessment of fractional mobility, Water Resources Research, vol.40, issue.4, pp.1-12, 2004.

F. Wu and T. Yeh, Forced bars induced by variations of channel width: Implications for incipient bifurcation, Journal of Geophysical Research: Earth Surface, vol.110, issue.F2, p.131, 2005.

W. Wu, Depth-averaged two-dimensional numerical modeling of unsteady flow and nonuniform sediment transport in open channels, Journal of hydraulic engineering, vol.130, issue.10, p.84, 2004.

M. S. Yalin, Fluvial processes, 2017.

S. Zen, G. Zolezzi, and M. Tubino, A theoretical analysis of river bars stability under changing channel width, Advances in Geosciences, vol.39, issue.39, p.131, 2014.

G. Zolezzi and G. Seminara, Downstream and upstream influence in river meandering. Part 1. General theory and application to overdeepening, Journal of Fluid Mechanics, vol.438, p.135, 2001.

A. Appendix, Numerical modelling of the secondary current and the influence of hydrology on morphodynamics of bars in a channel expansion/contraction

C. An, Y. Cui, X. Fu, and G. Parker, Gravel-bed river evolution in earthquake-prone regions subject to cycled hydrographs and repeated sediment pulses, Earth Surface Processes and Landforms, vol.42, pp.2426-2438, 2017.

L. V. Bendegom, Some considerations on river morphology and river improvement, de ingenieur vol, Dutch. English translation: Nat. Res. Council of Canada, Tech. Transi, vol.59, issue.4, pp.1-11, 1947.

R. S. Bernard and M. L. Schneider, Depth-averaged numerical modeling for curved channels, ARMY ENGINEER WATERWAYS EXPERIMENT STATION VICKSBURG MS HY-DRAULICS LAB, 1992.

O. Blanpain, Dynamique sédimentaire multiclasse: de l'étude des processusà la modélisation en Manche, 2009.

A. Blom, Different approaches to handling vertical and streamwise sorting in modeling river morphodynamics, Water resources research, vol.44, issue.3, 2008.

J. S. Bridge, Rivers and floodplains: forms, processes, and sedimentary record, 2009.

O. Cabrit, Modélisation des flux pariétaux sur les tuyères des moteursà propergol solide, 2009.

R. Callander, Instability and river channels, Journal of Fluid Mechanics, vol.36, issue.3, pp.465-480, 1969.

A. Chappell, G. L. Heritage, I. C. Fuller, A. R. Large, and D. J. Milan, Geostatistical analysis of groundsurvey elevation data to elucidate spatial and temporal river channel change. Earth Surface Processes and Landforms, The Journal of the British Geomorphological Research Group, vol.28, issue.4, pp.349-370, 2003.

M. Church and J. Haschenburger, What is the "active layer, Water Resources Research, vol.53, pp.5-10, 2017.

N. Claude, Processus et flux hydro-sédimentaires en rivière sablo-graveleuse: influence de la largeur de section et des bifurcations en Loire moyenne (France), 2012.

N. Claude, S. Rodrigues, V. Bustillo, J. Bréhéret, P. Tassi et al., Interactions between flow structure and morphodynamic of bars in a channel expansion/contraction, loire river, france, Water Resources Research, vol.50, issue.4, pp.2850-2873, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01710051

J. M. Coleman, Brahmaputra river: channel processes and sedimentation, Sedimentary Geology, vol.3, issue.2-3, pp.129-239, 1969.

M. Colombini, G. Seminara, and M. Tubino, Finite-amplitude alternate bars, Journal of Fluid Mechanics, vol.181, pp.213-232, 1987.

A. Crosato, E. Mosselman, F. Beidmariam, and W. S. Desta, Experimental and numerical evidence for intrinsic nonmigrating bars in alluvial channels, Water Resources Research, vol.47, issue.3, 2011.

G. Duró, A. Crosato, and P. Tassi, Numerical study on river bar response to spatial variations of channel width, Advances in Water Resources, vol.93, pp.21-38, 2016.

B. Eaton and M. Lapointe, Effects of large floods on sediment transport and reach morphology in the cobble-bed sainte marguerite river, Geomorphology, vol.40, issue.3-4, pp.291-309, 2001.

F. M. Exner, Zur physik der dünen, 1920.

J. Finnie, B. Donnell, J. Letter, and R. S. Bernard, Secondary flow correction for depth-averaged flow calculations, Journal of Engineering Mechanics, vol.125, issue.7, p.37, 1999.

A. Appendix, Numerical modelling of the secondary current and the influence of hydrology on morphodynamics of bars in a channel expansion/contraction

M. H. Garcia, Sediment transport and morphodynamics, Sedimentation engineering: Processes, measurements, modeling, and practice, pp.21-163, 2008.

D. G. Ham and M. Church, Bed-material transport estimated from channel morphodynamics: Chilliwack river, british columbia. Earth Surface Processes and Landforms, The Journal of the British Geomorphological Research Group, vol.25, issue.10, pp.1123-1142, 2000.

J. Hervouet, E. Razafindrakoto, and C. Villaret, Dealing with dry zones in free surface flows: a new class of advection schemes, Proceedings of the 34th World Congress of the International Association for Hydro-Environment Research and Engineering: 33rd Hydrology and Water Resources Symposium and 10th Conference on Hydraulics in Water Engineering, 2011.

J. Hervouet, Hydrodynamics of free surface flows: modelling with the finite element method, 2007.

M. Hirano, River-bed degradation with armoring, Proceedings of the Japan Society of Civil Engineers, vol.1971, pp.55-65, 1971.

M. Jaballah, B. Camenen, L. Pénard, and A. Paquier, Alternate bar development in an alpine river following engineering works, Advances in water resources, vol.81, pp.103-113, 2015.

R. G. Jackson, Hierarchical attributes and a unifying model of bed forms composed of cohesionless material and produced by shearing flow, vol.86, pp.1523-1533, 1975.

F. Koch, Bed level computations for curved alluvial channels, 1980.

B. Magnier, N. Claude, C. Villaret, S. Rodrigues, and P. Tassi, Numerical simulation of flow structures in the presence of alternate and transverse bars: application to the loire river (france), XXth TELEMAC-MASCARET. User Conference, pp.31-36, 2013.

C. Marti and G. R. Bezzola, Bed load transport in braided gravel-bed rivers. Braided rivers: process, deposits, ecology and management, vol.36, pp.199-215, 2006.

S. Mclelland, P. Ashworth, and J. Best, Velocity correction methods in open channels: Description, critique and recommendations, Consult. Rep, vol.24, 1994.

A. Mendoza, J. D. Abad, E. J. Langendoen, D. Wang, P. Tassi et al., Effect of sediment transport boundary conditions on the numerical modeling of bed morphodynamics, Journal of Hydraulic Engineering, vol.143, issue.4, p.4016099, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01709906

D. J. Milan, G. L. Heritage, and D. Hetherington, Application of a 3d laser scanner in the assessment of erosion and deposition volumes and channel change in a proglacial river, Earth Surface Processes and Landforms, vol.32, pp.1657-1674, 2007.

M. Mosley, Response of braided rivers to changing discharge, Journal of Hydrology, pp.18-67, 1983.

M. P. Mosley, Analysis of the effect of changing discharge on channel morphology and instream uses in a braided river, Water resources research, vol.18, issue.4, pp.800-812, 1982.

G. Parker, M. Hassan, and P. Wilcock, 10 adjustment of the bed surface size distribution of gravel-bed rivers in response to cycled hydrographs, Developments in Earth Surface Processes, vol.11, pp.241-285, 2007.

A. Recking, G. Piton, D. Vazquez-tarrio, and G. Parker, Quantifying the morphological print of bedload transport, Earth Surface Processes and Landforms, vol.41, pp.809-822, 2016.

S. Rodrigues, E. Mosselman, N. Claude, C. L. Wintenberger, and P. Juge, Alternate bars in a sandy gravel bed river: generation, migration and interactions with superimposed dunes. Earth Surface Processes and Landforms, vol.40, pp.610-628, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01763281

A. Appendix, Numerical modelling of the secondary current and the influence of hydrology on morphodynamics of bars in a channel expansion/contraction

I. Rozovskii, Concerning the question of velocity distribution in stream bends, DAN URSR Report of the Academy of Sciences of the Ukraine SSR, vol.1, 1954.

G. Seminara and M. Tubino, Alternate bars and meandering: free, forced and mixed interactions, River meandering, vol.12, pp.267-320, 1989.

R. Soulsby, Dynamics of marine sands: a manual for practical applications, 1997.

G. Stecca, A. Siviglia, and A. Blom, An accurate numerical solution to the saint-venant-hirano model for mixed-sediment morphodynamics in rivers, Advances in Water Resources, vol.93, pp.39-61, 2016.

N. Surian, L. Mao, M. Giacomin, and L. Ziliani, Morphological effects of different channel-forming discharges in a gravel-bed river, Earth Surface Processes and Landforms, vol.34, pp.1093-1107, 2009.

A. Talmon, N. Struiksma, and M. Van-mierlo, Laboratory measurements of the direction of sediment transport on transverse alluvial-bed slopes, Journal of hydraulic research, vol.33, issue.4, pp.495-517, 1995.

M. Tubino, Growth of alternate bars in unsteady flow, Water Resources Research, vol.27, issue.1, pp.37-52, 1991.

C. Van-der-meer, E. Mosselman, C. Sloff, B. Jagers, G. Zolezzi et al., Numerical simulations of upstream and downstream overdeepening, RCEM 2011: Proceedings of the 7th IAHR Symposium of River, Coastal and Estuarine Morphodynamics, pp.6-8, 2011.

E. Viparelli, A. Blom, and R. R. Moreira, Modeling stratigraphy-based gravel-bed river morphodynamics, Gravel-Bed Rivers: Processes and Disasters, pp.609-637, 2017.

D. Wang and P. Tassi, Secondary flow corrections into the telemac-mascaret modelling system, 21st TELEMAC-MASCARET User Conference, pp.239-247, 2014.

S. Wathen and T. Hoey, Morphological controls on the downstream passage of a sediment wave in a gravel-bed stream, Earth Surface Processes and Landforms, vol.23, pp.715-730, 1998.

M. Welber, W. Bertoldi, and M. Tubino, The response of braided planform configuration to flow variations, bed reworking and vegetation: the case of the tagliamento river, italy. Earth Surface Processes and Landforms, vol.37, pp.572-582, 2012.

P. R. Wilcock, Estimating local bed shear stress from velocity observations, Water Resources Research, vol.32, issue.11, pp.3361-3366, 1996.

P. R. Wilcock and J. C. Crowe, Surface-based transport model for mixed-size sediment, Journal of Hydraulic Engineering, vol.129, issue.2, pp.120-128, 2003.

G. Zolezzi and G. Seminara, Downstream and upstream influence in river meandering. part 2. planimetric development, Journal of Fluid Mechanics, vol.438, pp.183-211, 2001.

A. Appendix, Numerical modelling of the secondary current and the influence of hydrology on morphodynamics of bars in a channel expansion/contraction, Loire River, France Figure 51: Morphological evolution of riverbed for water discharge of 1500 m

A. Appendix, Numerical modelling of the secondary current and the influence of hydrology on morphodynamics of bars in a channel expansion/contraction, Morphological evolution of riverbed for water discharge of, vol.53, 2000.

A. Appendix, Numerical modelling of the secondary current and the influence of hydrology on morphodynamics of bars in a channel expansion/contraction

A. Appendix, Numerical modelling of the secondary current and the influence of hydrology on morphodynamics of bars in a channel expansion/contraction

, Laboratoire d'Hydraulique Saint-Venant

R. Batalla, Evaluating bed material transport equations using field measurements in a sandy gravel bed stream, arbúcies river, ne spain, Earth Surface Processes and Landforms, vol.22, pp.121-130, 1997.

R. Batalla, The importance of sediment and sediment processes for river basin management, 2004.

B. Magnier, N. Claude, and C. V. , Numerical simulation of flow structures in the presence of alternate and transverse bars: application to the loire river (france), 2013.

N. Claude, Processus et flux hydro-sédimentaires en rivière sablo-graveleuse : influence de la largeur de section et des bifurcations en Loire moyenne (France). Theses, 2012.

C. N. , S. Rodrigues, V. B. Juge, and P. , Interactions between flow structure and morphodynamic of bars in a channel expansion/contraction, Water Resources Research, p.50, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01710051

D. Boys and M. , Etudes du régime du rhône et de l'action exercée par les eaux sur un lit afond de graviers indéfiniment affouillable, Ann. Ponts Chaussées, vol.5, pp.141-195, 1879.

B. C. Eaton and L. M. , Effects of large floods on sediment transport and reach morphology in the cobble-bed sainte marguerite river, Geomorphology, vol.40, pp.291-309, 2001.

I. V. Egiazaroff, Calculation of nonuniform sediment concentrations, J. Hydraul. Div., Am. Soc. Civ. Eng, vol.91, p.225, 1965.

F. Cordier, P. Tassi, and N. C. , Numerical modelling of the graded sediment transport based on the experiments of wilcock and crowe, 2003.

M. H. Garcia, sedimentation engineering," processes, measurements, modelling. and practice, ASCE Mannuals and Reports on Engineer Practice, vol.110, pp.1-1132, 2008.

B. Gomez and C. M. , An assessment of bed load sediment transport formulae for gravel bed rivers, Water Resources Research, vol.25, issue.6, p.1161, 1989.

R. A. Kuhnle, Incipient motion of sand-gravel sediment mixtures, J. Hydraul. Eng, vol.119, issue.12, pp.1400-1415, 1993.

A. Marwan, M. Hassan, and J. X. Church, Sapatial and temporal variation of sediment yield in the landscape: Example of huanghe (yelliw river), Geophysical Research Letter, issue.6, p.35, 2008.

D. L. Matthieu and B. P. , Critical shear stress of bimodal sediment in sand-gravel rivers, J. Hydraul. Eng, vol.133, pp.555-559, 2007.

E. Meyer-peter and R. Müller, Formulas for bed-load transport, Hydraulic Engineering Reports, 1948.

M. Wong and G. P. , Reanalysis and correction of bed-load relation of meyer-peter and müller using their own database, Journal of Hydraulic Engineering, vol.132, issue.11, pp.1159-1168, 2006.

M. P. Mosley, Analysis of the effect of changing discharge on channel morphology and instream uses in a braided river, Water Resour. Res, vol.18, pp.800-812, 1982.

B. Appendix, Mathematical analysis of the formula of Wilcock and Crowe, 2003.

G. Parker and D. S. , Model experiments on mobile, paved gravel bed streams, Water Resources Research, vol.18, issue.5, pp.1395-1408, 1982.

J. C. Peter-r-wilcock, Surface-based transport model for mixed-size sediment, Journal of Hydraulic Engineering, vol.129, issue.2, pp.120-128, 2003.

D. Pinto-martins and B. J. , Dynamics of water flow and sediments in the upper paraná river between porto primavera and itaipu dams, brazil, Latin American Journal of Sedimentology and Basin Analysis, vol.16, pp.111-118, 2009.

S. Dhamotharan, A. Wood, and G. P. , Bedload transport in a model gravel stream, 1980.

W. M. Sensing, Planetary Sciences Lab, 2006.

S. J. Wathen and F. R. , Unequal mobility of sand and gravel in weakly bimodal river sediments, Water Resour. Res, vol.31, issue.8, pp.2087-2096, 1995.

M. Welber and B. W. , The response of braided planform configuration to flow variations, bed reworking and vegetation: the case of the tagliamento river, italy. Earth Surface Processes and Landforms, vol.37, pp.572-582, 2012.

P. R. Wilcock, Lecture note 1 -sediment transport. Available from geo, 2004.

P. R. Wilcock, Lecture note 3. Sediment Transport -The Sediment Problem, 2004.

P. R. Wilcock, A two-fraction model for the transport of sand/gravel mixtures, Water Resour. Res, Res, vol.38, issue.10, pp.1194-1205, 2002.