Monday, January 24, 2011

The geomorphic structure of Peak Flows: Rigon, D'Odorico and Bertoldi

This is a long-awaited paper, since the theory it tries to explain has been implemnted from a few year in JGrass , and successfully applied to several case study.

This paper hase been submitted to HESSD for open discussion, and can be found here:

Peak Flow paper

Any comment and suggestion is welcomed

References of the paper

Barling, R. D., Moore, I. D., and Grayson, R. B.: A quasi-dynamic wetness index for characterise the spatial distribution of zones of surface saturation and soil-water content, Water Resour. Res., 30, 1029--1044, 1994.

Bell, F. C.: Generalized rainfall duration-frequency relationships, J.Hydraul. Eng., 95(HY1), 311--327, 1969.

Beven, K. and Kirkby, M. J.: A physically-based variable contributing area model of basin hydrology, Hydrol. Sci. Bull., 24, 43--69, 1979.

Beven, K. J.: Rainfall-Runoff Modelling: the Primer, Wiley, Chichester,360~pp., 2001.

Beven, K. J. and Wood, E. F.: Flow routing and the hydrological response of channel networks, in: Channel Network Hydrology, edited by: Beven, K. J. and Kirkby, M. J., Wiley, Chichester, Chap.~5., 1993.

Botter, G. and Rinaldo, A.: Scale effect on geomorphologic and kinematic dispersion, Water Resour. Res., 39(10), 1286, doi:10.1029/2003WR002154,

Brutsaert, W.: Hydrology: an introduction, Cambridge university Press, Cambridge, UK, 2005.

Burlando, P. and Rosso, R.: Scaling and multiscaling Depth-Duration-Frequency curves of storm precipitation, J. Hydrol., 187/1-2, 45--64, 1996.

Chow, V.T., D.R. Maidment, L.W. Mays, {\it Applied Hydrology}, McGraw-Hill,

Da Ross, D. and Borga, M.: Use of digital elevation model data for the derivation of the geomorphological instantaneous unit hydrograph, Hydrol. Process., 11, 13--33, 1997.

Doodge, J. C. I.: The rational method for estimating flood peaks, Engineering, 184, 311--313, 374--377, 1957.

Doodge, J. C. I.: Linear theory of hydrologic systems, EGU reprints series, Katlenburg-Lindau, Germany, 1, 2003.

D'Odorico, P. and Rigon, R.: Hillslope and channel contributions to the hydrologic response, Water Resour. Res., 39(5), doi:10.1029/2002WR001708, 2003.

D'Odorico, P., Fagherazzi, S., and Rigon, R.: Potential for landsliding: dependence on hyetograph characteristics, J. Geophys. Res.-Earth, 110, F01007, 2005.

Franchini, M. and OConnell, P. E.: An analysis of the dynamic component of the geomorphologic instantaneous unit hydrograph, J. Hydrol., 175(1--4), 407--428, 1996.

Gupta, V. J. and Mesa, O. J.: Runoff generation and the hydrologic response via
channel network geomorphology -- recent progress and open problems, J. Hydrol., 102, 3--28, 1988.

Gupta, V. J., Waymire, E., and Wang, C. T.: A representation of an IUH from
geomorphology, Water Resour. Res., 16, 885--892, 1980.

Henderson, F. M.: Some Properties of the Unit Hydrograph, J. Geophys. Res., 68(16), 4785--4794, 1963.

Kirkby, M.: A runoff simulation model based on hillslope topography, in: Scale problem in Hydrology, edited by: Gupta, V. K., Rodriguez-Iturbe, I.,and Wood, E., D.~Reidel, Dordrecht, 1986.

Mesa, O. J. and Mifflin, E. R.: On the relative role of hillslope and network
geometry in hydrologic response, in: Scale problem in Hydrology, edited by:
Gupta, V. K., Rodriguez-Iturbe, I., and Wood, E., D.~Reidel, Dordrecht, 1986.

Mulvaney, T. J.: On the use of self-registering rain and flood gauges inmaking observation of the relations of rainfall and flood discharges in a given catchment, Proceedings of the Institution of Civil Engineers of Ireland, 4, 19--31, 1851.

Myninink, W. J. and Cordery, I.: Critical duration of rainfall for Flood
estimation, Water Resour. Res., 12(6), 1209--1214, 1976.

Naden, P. S.: Spatial variability in flood estimation for large catchments: the exploitation of channel network structure, Hydrolog. Sci. J., 37, 53--71, 1992.

Naden, P., Broadhurst, P., Tauveron, N., and Walker, A.: River routing at the continental scale: use of globally-available data and an a priori method of parameter estimation, Hydrol. Earth Syst. Sci., 3, 109--123, doi:10.5194/hess-3-109-1999, 1999.

Nash, J. E.: The form of the instantaneous unit hydrograph, International Association of Science and Hydrology, 45(3), 114--121, 1957.

Rigon, R., Cozzini, A., and Tiso, C.: The Horton machine: a suite of tools for
the analysis of DEMs, Dipartimento Di Ingegneria Civile ed Ambientale e
CUDAM, Universit\`a di Trento, 2006.

Rinaldo, A. and Rodriguez-Iturbe, I.: Geomorphological theory of the hydrological response, Hydrol. Process., 10(6), 803--829, 1996.

Rinaldo, A., Marani, A., and Rigon, R.: Geomorphological dispersion, Water Resour. Res., 27(4), 513--525, 1991.

Rinaldo, A., Vogel, G. K., Rigon, R., and Rodriguez-Iturbe,I.: Can one gauge the shape of a basin?, Water Resour. Res., 31(4), 1119--1127, 1995.

Robinson, J. S. and Sivapalan, M.: An investigation into the physical causes of scaling and heterogeneity of regional flood frequency, Water Resour.Res., 33(5), 1045--1059, 1997.

Rodriguez-Iturbe, I. and Valdes, J. B.: The geomorphic structure of hydrologic
response, Water Resour. Res., 18(4), 877--886, 1979.

Ross, C. N.: The calculation of flood discharge by the use of time contour plan isochrones, Transaction of the Institute of Engineers, Australia,2, 85--95, 1921.

Saco, P. M. and Kumar, P.: Kinematic dispersion in stream networks, Part~1: Coupling hydraulic and network geometry, Water Resour. Res., 38(11), 1244,
doi:10.1029/2001WR000695, 2002a.

Saco, P. M. and Kumar, P.: Kinematic dispersion in stream networks, Part~2:
Scale issues and self-similar network organization, Water Resour. Res.,
38(11), 1245, doi:10.1029/2001WR000694, 2002b.

Sherman, L. K.: Streamflow from rainfall by the unit-graph method, Engineering News-Record, 108, 501--505, 1932.

Shreve, R.L.: Stream lengths and basin areas in topologically random channel
networks, J. Geol., 77, 397--414, 1969.

Sivapalan, M., Beven, K. J., and Wood, E. F.: On the hydrologic similarity, 2.~A scaled model of storm runoff production, Water Resour. Res., 23(12),2266--2278, 1987.

Snell, J. D. and Sivapalan, M.: On geomorphological dispersion in natural catchments and the geomorphological unit hydrograph, Water Resour. Res., (30(7), 2311--2324, doi:10.1029/94WR00537, 1994.

Wood, E. F., Sivapalan, M., and Beven, K.: Similarity in small catchments storm
response, Rev. Geophys., 28, 1--18, 1990.

US~Department of Commerce Weather Bureau, Hershfield, D. M.: Rainfall Frequency Atlas of the United States, Technical Paper~40, Government Printing Office, Washington, DC, 62~pp., 1961.

Woods, R. A. and Sivapalan, M.: A connection between topographically driven
runoff generation and channel network structure, Water Resour. Res.,
33(12), 2939--2950, 1997.

Woods, R. A. and Sivapalan, M.: A synthesis of space-time variability in storm response: rainfall, runoff generation and routing, Water Resour. Res., 35(8), 2469--2485, 1999.

Yang, D., Herath, S., and Musiake, K.: A hillslope-based hydrological model using catchment area and width functions, Hydrolog. Sci. J., 1, 49--65, 2002.


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  2. The paper has been reviewed. The comments and the relative answer are visible at the paper site.