Characterization of peak flow events with local singularity method

Nonlinear Processes in Geophysics

Volumn 16, Issue 4, 2009, Pages 503-513

  Cheng, Q ^a,b   Li, L ^b   Wang, L ^b  

^a CHINA UNIVERSITY OF GEOSCIENCES   (China)

^b YORK UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

FLOOD; NONLINEARITY; NUMERICAL MODEL; PEAK FLOW; POWER LAW DISTRIBUTION; RIVER FLOW; TEMPORAL ANALYSIS;

CANADA; OAK RIDGES MORAINE; ONTARIO [CANADA];

EID: 77949505736     PISSN: 10235809     EISSN: 16077946     Source Type: Journal    
DOI: 10.5194/npg-16-503-2009     Document Type: Article

References (56)

1. Agterberg, F. P.: Multifractal modeling of the sizes and grades of giant and supergiant deposits, Int. Geol. Rev., 37, 1-8, 1995.
2. Bak, P., Tang, C., and Wiessenfeld, K.: Self-organized criticality: An explanation of 1/f noise, Phys. Rev. Lett., 59, 381-384, 1987.
3. Brutsaert, W. and Nieber, J. L.: Regionalized drought flow hydro-graphs from a mature glaciated plateau, Water Resour. Res., 13, 737-1643, 1977.
4. Brown, D. M., Mckay, G. A., and Chapman, L. J.: The climate of southern Ontario: Climato-logical Studies, No.5, Department of Transport, Meteorological Branch. Toronto, p. 50, 1968.
5. Cheng, Q.: A combined power-law and exponential model for streamflow recessions, J. Hydrol., 352, 157-167, 2008.
6. Cheng, Q.: Modeling local scaling properties for multi-scale mapping, accepted by Vadose Zone Journal, 7, 525-532, 2008.
7. Cheng, Q.: Mapping singularities with stream sediment geochemi-cal data for prediction of undiscovered mineral deposits in Gejiu, Yunnan Prov., China, Ore Geol. Rev., 32(1-2), 314-324, 2007a.
8. Cheng, Qiuming: Multifractal imaging filtering and decomposition methods in space, Fourier frequency, and eigen domains, Nonlin. Processes Geophys., 14, 293-303, 2007b, http://www.nonlin-processes-geophys.net/14/293/2007/.
9. Cheng, Q.: Multifractal modeling of Eigenvalues and Eigenvectors of 2-D maps, Math. Geol., 37(8), 915-927, 2005.
10. Cheng, Q.: Weights of evidence modeling of flowing wells in the Greater Toronto Area, Canada, Nat. Resour. Res., 13, 77-86, 2004.
11. Cheng, Q.: Multifractality and spatial statistics, Computers Geosci., 25(9), 949-961, 1999.
12. Cheng, Q. and Agterberg F. P.: Singularity analysis of ore-mineral and toxic trace elements in stream sediments, Computers Geosci., 35, 234-244, 2009.
13. Cheng, Q. and Agterberg, F. P.: Multifractal modeling and spatial statistics, Math. Geol., 28, 1-16, 1996.
14. Cheng, Q., Agterberg, F. P., and Ballantyne, S. B.: The separation of geochemical anomalies from background by fractal methods, J. Exploration Geochem., 51, 109-130, 1994.
15. Cheng, Q., Zhang, G., Lu, C., and Ko, C.: GIS spatial-temporal modeling of water systems in the Greater Toronto Area, Canada, Earth Sciences, a Journal of China University of Geosciences, 15, 275-282, 2004.
16. Cheng, Q., Ko, C., Yuan, Y., Ge, Y., and Zhang, S.: GIS Modeling for predicting river runoff volume in ungauged drainages in the Greater Toronto Area, Canada, Computers Geosci., 32(8), 1108-1119, 2006.
17. Cheng, Q., Yuan, Y., Ko, C., Li, L., and Zhang, Z.: Study of water system in the Greater Toronto Area using GIS-based spatial-temporal-frequency models, in: Environmental Geosciences, edited by: Chunmiao Zheng and Xiahong Feng, Advances in Earth Sciences, Chinese High Education Press, Beijing, 4(5), 87-118, 2008.
18. Cheng, Q., Russell, H., Sharpe, D., Kenny, F., and Pin, Q.: GIS-based statistical and fractal/multifractal analysis of surface stream patterns in the Oak Ridges Moraine, Computers Geosci., 27, 513-526, 2001.
19. Foster, H. A.: Theoretical frequency curves and their application to engineering problems, Transactions of the American Society of Civil Engineers, 77, 564-617, 1924.
20. Gupta, V. K.: Emergence of statistical scaling in floods on channel networks from complex runoff dynamics, Chaos, Solitons and Fractals, 19, 357-365, 2004.
21. Gupta, V. K. and Waymire, E. C.: Multiscaling properties of spatial rainfall and river flow distributions, J. Geophys. Res., 95(D3), 1999-2009, 1990.
22. Gupta, V. K., Castro, S. L., and Over, T. M.: On scaling exponents of spatial peak flows from rainfall and river network geometry, J. Hydrol., 187, 81-104, 1996.
23. Hall, F. R.: Base flow recession-a review, Water Resour. Res., 4, 973-983, 1968,.
24. Hengeveld, H. G.: Climate change digest-projections for Canada's future, Special edition, Ministry of Public Works and Government Services: p. 27, 2000.
25. Hurst, H. E.: Long-term storage capacity of reservoirs, Transact. Am. Soc. Civil Eng., 116, 770-808, 1951.
26. HYDAT CD-ROM User's Manual: Surface Water and Sediment Data, Atmospheric Environment Program, Version 96-1.04 User's Manual, Environment Canada, p. 95, 1996.
27. IPCC; Climate change 2001: Impacts Adaptation and Vulnerability, Cambridge University Press 1005 2001
28. 2001: Impacts, Adaptation and Vulnerability, Cambridge University Press: p. 1005, 2001.
29. Jakeman, A. J. and Hornberger, G. M.: How much complexity is warranted in a rainfall-runoff model?, Water Resour. Res., 29(8), 2637-2649, 1993.
30. Jakeman, A. J., Littlewood, I. G, and Whitehead, P. G.: Computation of the instantaneous unit hydrograph and identifiable component flows with application to two small upland catchments, J. Hydrol., 117, 275-300, 1990.
31. Jakeman, A. J, Post, D. A., and Beck, M. B.: From data and theory to environmental model: the case of rainfall-runoff, Environ-metrics, 5, 297-314, 1994.
32. Kenny, F. M.: A chromostereo enhanced digital elevation model of the Oak Ridges Moraine Area, southern Ontario and Lake Ontario Bathymetry, Geological Survey of Canada, Open file 3423, scale 1:200 000, 1997.
33. Ko, C. and Cheng, Q.: GIS spatial modeling of river flows and precipitation in the ORM, Ontario, Computers Geoci., 30, 379-389, 2004.
34. Kundzewicz, Z, W., Rosbjerg, D., Simonovic, S. P., and Takeuchi, K.: Extreme hydrological events: Precipitation, Floods, and Droughts, IAHS No. 213, 1-7, 1993.
35. Maillet, E.: Essai d'hydraulique souterraine et fluviale, Libraire Sci., A., Herman, Paris (Cited by Hall, 1968), 1905.
36. Malamud, B. D., Turcotte, D. L., and Barton, C. C.: The 1993 Mississippi river flood: a one hundred or a one thousand year event?, Environ. Eng. Geosci. II, 479-486, 1996.
37. Malamud, B. D., Turcotte, D. L., Guzzetti, F., and Reichenbach, P.: Landslide inventories and their statistical properties, Earth Surf. Process. Landforms, 29, 687-711, 2004.
38. Mitchell, W. D.: Model hydrographs, US Geol. Surv., Water Supply Pap. 2005, 1972.
39. Movahed, M. S. and Hermanis, E.: Fractal analysis of river flow fluctuations, Physica A, 387, 915-932, 2008.
40. Murdock, R. U. and Gulliver, J. S.: Prediction of river discharge at ungauged sites with analysis of uncertainty, J. Water Resour. Pl-Asce. 119, 473-487, 1993.
41. Nguyen, Van-Thanh-Van: On modeling of extreme hydrologic processes, in Proceedings of International Workshop on Non-structural Measures for Water Management Problems, London, Canada, October 2001, 167-180, 2001.
42. Sarewitz, D. and Pielke, R.x: Extreme events: A research and policy framework for disaster in context, Int. Geol. Rev., 43, 406-418, 2001.
43. Schertzer, D. and Lovejoy, S.: Multifractal generation of self-organized criticality, in Fractals In the natural and applied sciences, edited by: Novak, M. M., 325-339, Elsevier, New York, 1994.
44. Schertzer, D. and Lovejoy, S.: Multifractals and turbulence: Fundamentals and Applications, 230 pp., World Scientific, River Edge, N. J., 1995.
45. Schertzer, D. and Lovejoy, S.: Physical modeling and analysis of rain and clouds by anisotropic scaling of multiplicative processes, J. Geophys. Res., 92, 9693-9714, 1987.
46. Singer, S. N., Cheng, C. K., and Scafe, M. G.: The Hydrogeology of Southern Ontario, Second Edition, Hydrogeology of Ontario Series, Report 1, Environmental Monitoring and Reporting Branch, Ministry of The Environment, p. 200, 2003.
47. Sornette, D.: Critical Phenomena in Natural Sciences: Chaos, Fractals, Selforganization and Disorder, 2nd Edition. Springer, New York, 2004.
48. STORM-Coalition: Oak Ridges Moraine. Boston Mills Press, Erin, Ont., p. 120, 1997.
49. Tallaksen, L. M.: A review of baseflow recessionanalysis, J. Hy-drol., 165, 349-370, 1995.
50. Tessier, Y., Lovejoy, S., Hubert, P., and Schertzer, D.: Multifrac-tal analysis and modeling of rainfall and river flows and scaling, causal transfer functions, J. Geophys. Res., 101(D21), 26427-26440, 1996.
51. Turcotte, D. L.: Self-organized criticality: Does it have anything to do with criticality and is it useful?, Nonlin. Processes Geophys., 8, 193-196, 2001, http://www.nonlin-processes-geophys.net/8/193/2001/.
52. Turcotte, D. L.: Fractals and Chaos in Geology and Geophysics, 2nd Edition. Cambridge University Press, 1997.
53. Turcotte, D. L. and Greene, A.: Scale-invariant approach to flood frequency analysis, Stochastic Hydrol. Hydraul., 7, 33-40, 1993.
54. US Department of Agriculture, Soil conservation Service: National Engineering Handbook, Section 4, Hydrology, U.S. Govt. Printing Office, Washington, DC, p. 544, 1972.
55. Veneziano, D.: Multifractality of rainfall and scaling of intensity-duration-frequency curves, Water Resour. Res., 38, 1-12, 2002.
56. Viessman, W. and Lewis, G. L.: Introduction to hydrology, Pearson Education Inc., p. 624, 2003.