Quantifying fluvial non linearity and finding self organized criticality? Insights from simulations of river basin evolution

Geomorphology

Volumn 91, Issue 3-4, 2007, Pages 216-235

  Coulthard, Tom J ^a   Van De Wiel, Marco J ^b  

^a UNIVERSITY OF HULL   (United Kingdom)

^b UNIVERSITY OF WESTERN ONTARIO   (Canada)

Author keywords

CAESAR; Catchment; Model; Non linear; River; Self organised criticality

Indexed keywords

CATCHMENT; FLUVIAL GEOMORPHOLOGY; LANDSCAPE EVOLUTION; NUMERICAL MODEL; RIVER BASIN;

EID: 34548427877     PISSN: 0169555X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.geomorph.2007.04.011     Document Type: Article

References (54)

1. Ashmore P.E. Bed load transport in braided gravel-bed stream models. Earth Surface Processes and Landforms 13 (1988) 677-695
2. Ashworth P.J., Best J.L., and Jones M. Relationship between sediment supply and avulsion frequency in braided rivers. Geology 32 1 (2004) 21-24
3. Bak P. How Nature Works (1996), Springer-Verlag, New York, NY (212 pp.)
4. Bak P., Tang C., and Wiesenfeld K. Self-organized criticality: an explanation of 1/f noise. Physical Review Letters 59 4 (1987) 381-384
5. Bak P., Tang C., and Wiesenfeld K. Self-organized criticality. Physical Review A 38 1 (1988) 364-374
6. Beven K.J., and Kirkby M.J. A physically based variable contributing-area model of catchment hydrology. Hydrological Science Bulletin 24 1 (1979) 43-69
7. Bryant M., Falk P., and Paola C. Experimental study of avulsion frequency and rate of deposition. Geology 23 4 (1995) 365-368
8. Coulthard T.J., and Macklin M.G. Long-term and large scale high resolution catchment modelling: innovations and challenges arising from the NERC Land Ocean Interaction Study (LOIS). In: Lang A., Hennrich K., and Dikau R. (Eds). Concepts and Approaches to Long Term and Large Scale Modelling of Fluvial Systems (2003), Springer-Verlag, Berlin, Germany 123-134
9. Coulthard T.J., and Van De Wiel M.J. A cellular model of river meandering. Earth Surface Processes and Landforms 31 1 (2006) 123-132
10. Coulthard T.J., Kirkby M.J., and Macklin M.G. Non linearity and spatial resolution in a cellular automaton model of a small upland basin. Hydrology and Earth System Sciences 2 2-3 (1998) 257-264
11. Coulthard T.J., Kirkby M.J., and Macklin M.G. Modelling geomorphic response to environmental change in an upland catchment. Hydrological Processes 14 (2000) 2031-2045
12. Coulthard T.J., Macklin M.G., and Kirkby M.J. A cellular model of Holocene upland river basin and alluvial fan evolution. Earth Surface Processes and Landforms 27 (2002) 269-288
13. Coulthard T.J., Lewin J., and Macklin M.G. Modelling differential catchment response to environmental change. Geomorphology 69 (2005) 222-241
14. Crave A., and Davy P. A stochastic 'precipiton' model for simulating erosion/sedimentation dynamics. Computers & Geosciences 27 (2001) 815-827
15. Cudden J.R., and Hoey T.B. The causes of bedload pulses in a gravel channel: the implication of bedload grain-size distributions. Earth Surface Processes and Landforms 28 (2003) 1411-1428
16. De Boer D.H. Self-organization in fluvial landscapes: sediment dynamics as an emergent property. Computers & Geosciences 27 (2001) 995-1003
17. Dearing J., and Zolitschka B. System dynamics and environmental change: an exploratory study of Holocene lake sediments at Holzmaar, Germany. Holocene 9 5 (1999) 531-540
18. Drossel B., and Schwabl F. Self-organized critical forest-fire model. Physical Review Letters 69 11 (1992) 1629-1632
19. Einstein H.A. The bed load function for sediment transportation in open channel flows. USDA Technical Bulletin, 1026 (1950)
20. Fonstad M., and Marcus W.A. Self-organized criticality in riverbank systems. Annals of the Association of Amercian Geographers 93 2 (2003) 281-296
21. Frigg R. Self-organised criticality - what it is and what it isn't. Studies in History and Philospophy of Science 34 (2003) 613-632
22. Gomez B., and Church M. An assessment of bed load sediment transport formulae for gravel bed rivers. Water Resources Research 25 6 (1989) 1161-1186
23. Gomez B., and Phillips J.D. Deterministic uncertainty in bed load transport. Journal of Hydraulic Engineering, ASCE 125 3 (1999) 305-308
24. Harrison S. On reductionism and emergence in geomorphology. Transactions of the Institute of British Geographers 26 (2001) 327-339
25. Held G.A., et al. Experimental study of critical-mass fluctuations in an evolving sandpile. Physical Review Letters 65 9 (1990) 1120-1123
26. Hooke J. River meander behaviour and instability: a framework for analysis. Transactions of the Institute of British Geographers 28 (2003) 238-253
27. Jackson R.G. Sedimentological and fluid-dynamic implications of the turbulent bursting phenomenon in geophysical flows. Journal of Fluid Dynamics 77 (1976) 531-560
28. Jaeger H.M., Liu C.-H., and Nagel S.R. Relaxation at the angle of repose. Physical Review Letters 62 1 (1989) 40-43
29. Lane S.N., and Richards K.S. Linking river channel form and process: time, space and causality revisited. Earth Surface Processes and Landforms 22 (1997) 249-260
30. Luo W. LANDSAP: a coupled surface and subsurface cellular automata model for landform simulation. Computers & Geosciences 27 (2001) 363-367
31. Mackin J.H. Concept of the graded river. Bulletin of the Geological Society of America 59 (1948) 463-512
32. Mandelbrot B.B. How long is the coast of Britain? Statistical self-similarity and fractional dimension. Science 156 (1967) 636-638
33. Moog D.B., and Whiting P.J. Annual hysteresis in bed load rating curves. Water Resources Research 34 9 (1998) 2393-2399
34. Murray A.B., and Paola C. A cellular model of braided rivers. Nature 371 (1994) 54-57
35. Murray A.B., and Paola C. Modelling the effect of vegetation on channel pattern in bedload rivers. Earth Surface Processes and Landforms 28 (2003) 131-143
36. Nicholas, A.P., Quine, T.A. in press. Crossing the divide: representation of channels and processes in reduced-complexity river models at reach and landscape scales. Geomorphology. doi:10.1016/j.geomorph.2006.10.026.
37. Phillips J.D. Divergence, convergence, and self-organization in landscapes. Annals of the Association of American Geographers 89 3 (1999) 466-488
38. Phillips J.D. Sources of nonlinearity and complexity in geomorphic systems. Progress in Physical Geography 27 1 (2003) 1-23
39. Richards K.S. Hydraulic geometry and channel roughness-a nonlinear system. American Journal of Science 273 (1973) 877-896
40. Richards K.S. Complex width-discharge relations in natural river sections. Geological Society of America Bulletin 87 (1976) 199-206
41. Rinaldo A., Rodríguez-Iturbe I., Bras R.L., and Ijjász-Vásquez E. Self-organized fractal river networks. Physical Review Letters 70 (1993) 822-826
42. Rodríguez-Iturbe I., Marani A., Rigon R., and Rinaldo A. Self-organized river basin landscapes: fractal and multifractal characteristics. Water Resources Research 30 12 (1994) 3531-3539
43. Rosendahl J., Vekić M., and Kelley J. Persistent self-organization of sandpiles. Physical Review. E 47 2 (1993) 1401-1404
44. Sapozhnikov V., and Foufoula-Georgiou E. Do the current landscape evolution models show self-organized criticality?. Water Resources Research 32 4 (1996) 1109-1112
45. Sapozhnikov V., and Foufoula-Georgiou E. Experimental evidence of dynamic scaling and indications of self-organized criticality in braided rivers. Water Resources Research 33 8 (1997) 1983-1991
46. Schumm S.A. River Variability and Complexity (2005), Cambridge University Press, Cambridge, UK (220 pp.)
47. Sidorchuk A. Stages in gully evolution and self-organized criticality. Earth Surface Processes and Landforms 31 (2006) 1329-1344
48. Stølum H.-H. River meandering as a self-organization process. Science 271 (1996) 1710-1713
49. Sumer B.M., Chua L.H.C., Cheng N.-S., and Fredsøe J. Influence of turbulence on bed load sediment transport. Journal of Hydraulic Engineering, ASCE 129 8 (2003) 585-596
50. Thomas R., and Nicholas A.P. Simulation of braided flow using a new cellular routing scheme. Geomorphology 43 (2002) 179-195
51. Van De Wiel, M.J., Coulthard, T.J., Macklin, M.G., Lewin, J., in press. Embedding reach-scale fluvial dynamics within the CAESAR cellular automaton landscape evolution model. Geomorphology. doi:10.1016/j.geomorph.2006.10.024.
52. Vandenberghe J. Climate forcing of fluvial system development: an evolution of ideas. Quaternary Science Reviews 22 (2003) 2053-2060
53. Wilcock P.R., and Crowe J.C. Surface-based transport model for mixed-size sediment. Journal of Hydraulic Engineering, ASCE 129 2 (2003) 120-128
54. Willgoose G. Mathematical modelling of whole landscape evolution. Annual Review of Earth and Planetary Sciences 33 (2005) 443-459