Scale invariances in the morphology and evolution of braided rivers

Mathematical Geology

Volumn 33, Issue 3, 2001, Pages 273-291

  Foufoula Georgiou, Efi ^a   Sapozhnikov, Victor ^a,b  

^a UNIVERSITY OF MINNESOTA   (United States)

^b SEAGATE TECHNOLOGY   (United States)

Author keywords

Dynamic scaling; Self affinity; Self organized criticality

Indexed keywords

EID: 25444500700     PISSN: 08828121     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1007682005786     Document Type: Article

References (27)

1. Alciatore, D., and Miranda, R., 1995, The best least-squares line fit, in Paeth, V. A. W., ed. Graphics Gems: Academic, San Diego, CA, p. 91-97.
2. Ashmore, P., 1985, Process and form in gravel braided streams: Laboratory modelling and field observations, unpubl. doctoral dissertation, University of Alberta, Edmonton.
3. Ashmore, P., and Parker, G., 1983, Confluence scour in coarse braided streams: Water Resour. Res., v. 19, p. 392-402.
4. Ashmore, P. E., Ferguson, R. I., Prestegaard, K. L., Ashworth, P. J., and Paola, C., 1992, Secondary flow in anabranch confluences of a braided, gravel-bed stream: Earth Surf. Processes Landforms, v. 17, p. 299-311.
5. Best, J. L., 1986, The morphology of river channel confluences: Prog. Phys. Georgr., v. 10, p. 157-174.
6. Bristow, C., and Best, J., 1993, Braided rivers: Perspectives and problems, in Best, J., and Bristow, eds., Braided Rivers: Geological Society, London, p. 1-11.
7. Bristow, C. S., Best, J. L., and Roy, A. G., 1993, Morphology and facies models of channel confluences, in Marzo, M., and Puigdefabregas, C., eds., Alluvial Sedimentation: Blackwell Scientific, Cambridge, MA, p. 91-100.
8. Foufoula-Georgiou, E., and Sapozhnikov, V., 1998, Anisotropic scaling in braided rivers: An integrated theoretical framework and results from application to an experimental river: Water Resour. Res., v. 34, no. 4, p. 863-867.
9. Howard, A. D., Keetch, M. E., and Vincent, C. L., 1970, Topological and geometrical properties of braided streams: Water Resour. Res., v. 6, p. 1674-1688.
10. Mandelbrot, B. B., 1982, The Fractal Geometry of Nature: W. H. Freeman, New York.
11. Mandelbrot, B. B., 1986, Self-affine fractal sets, in Fractals in Physics, in Petroniero, L., and Tosatti, E., eds., Proceedings of the Sixth Trieste International Symposium on Fractals in Physics, ICTP, Trieste, Italy: North-Holland, New York, p. 3-16.
12. Mosley, M. P., 1976, An experimental study of channel confluences: J. Geol., v. 84, p. 535-562.
13. Mosley, M. P., 1977, Stream junctions: A probable location for bedrock placers: Econ. Geol., v. 72, p. 691-697.
14. Murray, A. B., and Paola, C., 1994, A cellular model of braided rivers: Nature, v. 371, p. 54-57.
15. Nikora, V. I., 1994, On self-similarity and self-affinity of drainage basins: Water Resour. Res., v. 30, p. 133-137.
16. Nikora, V. I., and Sapozhnikov, V. B., 1993, River network fractal geometry and its computer simulation: Water Resour. Res., v. 29, p. 3569-3575.
17. Nikora, V. I., Sapozhnikov, V. B., and Noever, D. A., 1993, Fractal geometry of individual river channels and its computer simulation: Water Resour. Res., v. 29, p. 3561-3568.
18. Nykanen, D., Foufoula-Georgiou, E., and Sapozhnikov, V., 1998, Study of spatial scaling in braided river patterns using synthetic aperture radar imagery: Water Resour. Res., v. 34, no. 7, p. 1795-1807.
19. Robert, A., 1993, Bed configuration and microscale processes in alluvial channels: Prog. Phys. Geogr., v. 17, p. 123-136.
20. Sapozhnikov, V., and Foufoula-Georgiou, E., 1995, Study of self-similar and self-affine objects using logarithmic correlation integral: J. Phys. A: Math. Gen., v. 28, p. 559-571.
21. Sapozhnikov, V., and Foufoula-Georgiou, E., 1996a, Do the current landscape evolution models show self-organized criticality? Water Resour. Res., v. 32, no. 4, p. 1109-1112.
22. Sapozhnikov, V., and Foufoula-Georgiou, E., 1996b, Self-affinity in braided rivers: Water Resour. Res., v. 32, no. 5, p. 1429-1439.
23. Sapozhnikov, V., and Foufoula-Georgiou, E., 1997, Experimental evidence of dynamic scaling and indications of self-organized criticality in braided rivers: Water Resour. Res., v. 33, no. 8, p. 1983-1991.
24. Sapozhnikov, V., Brad Murray, A., Paola, C., and Foufoula-Georgiou, E. 1998, Validation of braided-stream models: Spatial state-space plots, self-affine scaling, and island shapes: Water Resour. Res., v. 34, no. 9, p. 2353-2364.
25. Sapozhnikov, V., and Foufoula-Georgiou, E., 1999, Horizontal and vertical self-organization of braided rivers toward a critical state: Water Resour. Res., v. 35, no. 3, p. 843-851.
26. Smith, L. C., Isacks, B. L., Forster, R. R., Bloom, A. L., and Presuss, I., 1995, Estimation of discharge from braided glacial rivers using ERS 2 synthetic aperture radar: First results: Water Resour. Res., v. 31, p. 1325-1329.
27. Smith, L. C., Isacks, B. L., Bloom, A. L., and Murray, A. B., 1996, Estimation of discharge from three braided rivers using synthetic aperture radar satellite imagery: Potential applications to ungaged basins: Water Resour. Res., v. 32, p. 2031-2034.