Spatio-temporal scaling of channels in braided streams

Chang, 1979, Minimum stream power and river channel patterns, J. Hydrol., 41, 303, 10.1016/0022-1694(79)90068-4 Chow, 1959 De Vries, P.,2000. Scour in Low Gradient Gravel Bed Streams: Patterns, Processes and Implications for the Survival of Salmonid Embryos. PhD Dissertation, University of Washington, Seattle. 365pp. Ergenzinger, 1987, Chaos and order: The channel geometry of gravel bed braided rivers, 85 Foufoula-Georgiou, 2001, Scale invariance in the morphology and evolution of braided rivers, Math. Geol., 33, 273, 10.1023/A:1007682005786 Grant, 1997, Critical flow constrains flow hydraulics in mobile-bed streams: a new hypothesis, Water Resour. Res., 33, 349, 10.1029/96WR03134 Gupta, 2004, Emergence of statistical scaling floods on channel networks from complex runoff dynamics, Chaos, Solitons, and Fractals, 19, 357, 10.1016/S0960-0779(03)00048-1 Huang, 2000, Hydraulic geometry and maximum flow efficiency as products of the principle of least action, Earth Surface Processes and Landforms, 25, 1, 10.1002/(SICI)1096-9837(200001)25:1<1::AID-ESP68>3.0.CO;2-2 Huang, 2003, Minimum energy as the general form of critical flow and for explaining variations in river channel patterns, Water Resour. Res., 1 Hunt, 1999, A probabilistic treatment of fluvial entrainment of cohesionless particles, J. Geophys. Res., 104, 15409, 10.1029/1999JB900088 Hunt, 2003, Tests of predicted downstream transport of clasts in turbulent flow, Adv. Water Resour., 26, 1205, 10.1016/j.advwatres.2003.06.001 Inglis, 1947 Jaeger, 1956 Kirkby, 1977, Maximum sediment transporting efficiency as a criterion for alluvial channels, 950 Knapp, D., 2002. PhD Dissertation, Washington State University. Kolmogorov, A.N., 1991. Local structure of turbulence in incompressible fluid at very high Reynolds numbers (in Russian) Dok. Akad. Nauk. SSSR 30, 299–303, 1941. (English translation) Proc. Roy. Soc. Lond. A 434, 9–13. Lamb, 1945 Reif, 1965 Rodriguez-Iturbe, 1997 Sapozhnikov, 1996, Do the current landscape evolution models show self-organized criticality?, Water Resour. Res., 32, 1109, 10.1029/96WR00161 Sapozhnikov, 1999, Horizontal and vertical self-organization of braided rivers toward a critical state, Water Resour. Res., 35, 843, 10.1029/98WR02744 Schoklitz, A., 1937. Hydraulic Structure. Translated by Samuel Schulits, translation reviewed by L.G. Straub, Proceedings of American Society of Mechanical Engineering. p. 504 Tinkler, 1997, Critical flow in rockbed streams with estimated values for Manning's n, Geomorphology, 20, 147, 10.1016/S0169-555X(97)00011-1 Tinkler, 1997, Indirect velocity measurements from standing waves in rockbed rivers, J. Hydraul. Eng., 123, 918, 10.1061/(ASCE)0733-9429(1997)123:10(918) Topping, D.J., 1997. Physics of flow, sediment transport, hydraulic geometry, and channel geomorphic adjustment during flash floods in an ephemeral river, the Paria River, Utah and Arizona, Dissertation, University of Washington, 405pp. Turcotte, 1997 Turcotte, 2004, The relationship of fractals in geophysics to the new science, Chaos Solitons and Fractals, 19, 255, 10.1016/S0960-0779(03)00039-0 Vincent, K.R, Smith J.D., 2001. Eos Trans. AGU 82(47), Fall Meet. Suppl. Abstract H21C-0316.