S. K. Aryal, E. M. O'loughlin, and R. G. Mein, A similarity approach to predict landscape saturation in catchments, Water Resour. Res, vol.38, issue.10, p.1208, 2002.

P. Bak, C. Tang, and K. Wiesenfeld, Self-organized criticality, Phys. Rev. A, vol.38, issue.1, pp.364-374, 1988.

P. Bak, K. Chen, and M. Creutz, Self-organized criticality in the 'Game of Life, Nature, vol.342, pp.780-782, 1989.

L. E. Band, Topographic partition of watersheds with digital elevation models, Water Resour. Res, vol.22, issue.1, pp.15-24, 1986.

K. J. Beven and I. D. Moore, Terrain Analysis and Distributed Modelling in Hydrology, 249 pp, 1992.

G. Blöschl, Rainfall-runoff modeling of ungauged catchments, Encyclopedia of Hydrological Sciences, vol.3, pp.2061-2079, 2005.

G. Blöschl and M. Sivapalan, Scale issues in hydrological modeling-A review, Hydrol. Processes, vol.9, pp.251-290, 1995.

M. Convertino, R. Rigon, A. Maritan, I. Rodriguez-iturbe, and A. Rinaldo, Probabilistic structure of the distance between tributaries of given size in river networks, Water Resour. Res, vol.43, p.11418, 2007.

M. H. Diskin and E. S. Simpson, A quasi linear spatially distributed model for the surface runoff systems, Water Resour. Bull, vol.14, pp.903-918, 1978.

J. P. Fortin, R. Turcotte, S. Massicotte, R. Moussa, and J. Fitzback, Distributed watershed model compatible with remote sensing and GIS data. I: Description of the model, J. Hydrol. Eng, vol.6, pp.91-99, 2001.
URL : https://hal.archives-ouvertes.fr/hal-02681954

A. M. Gurnell and A. R. Montgomery, Hydrological Applications of GIS, 176 pp, 1999.

K. R. Helmlinger, P. Kumar, and E. Foufoula-georgiou, On the use of digital elevation model data for Hortonian and fractal analyses of channel networks, Water Resour. Res, vol.29, pp.2599-2613, 1993.

R. E. Horton, Drainage-basin characteristics, Eos Trans. AGU, vol.13, p.350, 1932.

R. E. Horton, Erosional development of streams and their drainage basins; hydrophysical approach to quantitative morphology, Geol. Soc. Am. Bull, vol.56, pp.275-370, 1945.

D. A. Hughes and K. Sami, A semi-distributed, variable-time interval model of catchment hydrology-Structure and parameter estimation procedures, J. Hydrol, vol.155, pp.90169-90173, 1994.

B. Lashermes, E. Foufoula-georgiou, and W. Dietrich, Channel network extraction from high resolution topography using wavelets, Geophys. Res. Lett, vol.34, pp.23-27, 2007.

N. Le-moine, Le bassin versant de surface vu par le souterrain: Une voie d'amélioration des performances et du réalisme des modèles pluiedébit?, 2008.

B. B. Mandelbrot, The Fractal Geometry of Nature, vol.468, 1983.

A. Maritan, A. Rinaldo, I. Rodríguez-iturbe, R. Rigon, and A. Giacometti, Scaling in river networks, Phys. Rev. E, vol.53, pp.1510-1515, 1996.

O. J. Mesa and E. R. Mifflin, On the relative role of hillslope and network geometry in hydrologic response, Scale Problems in Hydrology, pp.1-17, 1986.

D. R. Montgomery and W. E. Dietrich, Where do channels begin?, Nature, vol.336, pp.232-234, 1988.

D. R. Montgomery and W. E. Dietrich, Source areas, drainage density, and channel initiation, Water Resour. Res, vol.25, pp.1907-1918, 1989.

D. R. Montgomery and W. E. Dietrich, Channel initiation and the problem of landscape scale, Science, vol.255, pp.826-830, 1992.

D. R. Montgomery and E. Foufoula-georgiou, Channel network source representation using digital elevation models, Water Resour. Res, vol.29, pp.3925-3934, 1993.

R. Moussa, Variabilité spatio-temporelle et modélisation hydrologique, Univ. of Montpellier II Sci. et Tech. du Languedoc, 1991.

R. Moussa, Geomorphological transfer function calculated from digital elevation models for distributed hydrological modelling, Hydrol. Processes, vol.11, pp.429-449, 1997.
URL : https://hal.archives-ouvertes.fr/hal-02686924

R. Moussa, Is the drainage network a fractal Sierpinski space?, Water Resour. Res, vol.33, pp.2399-2408, 1997.
URL : https://hal.archives-ouvertes.fr/hal-02687595

R. Moussa, Effect of channel network topology, basin segmentation and rainfall spatial distribution on the GIUH transfer function, Hydrol. Processes, vol.22, pp.395-419, 2008.
URL : https://hal.archives-ouvertes.fr/hal-02660835

R. Moussa, What controls the width function shape, and can it be used for channel network comparison and regionalization?, Water Resour. Res, vol.44, p.8456, 2008.
URL : https://hal.archives-ouvertes.fr/hal-02667644

R. Moussa, Definition of new equivalent indices of Horton-Strahler ratios for the derivation of the Geomorphological Instantaneous Unit Hydrograph, Water Resour. Res, vol.45, p.9406, 2009.

R. Moussa and C. Bocquillon, TraPhyC-BV: A hydrologic information system, Environ. Software, vol.9, issue.4, pp.90020-90025, 1994.
URL : https://hal.archives-ouvertes.fr/hal-02710413

R. Moussa, M. Voltz, and P. Andrieux, Effects of the spatial organization of agricultural management on the hydrological behaviour of a farmed catchment during flood events, vol.16, pp.393-412, 2002.
URL : https://hal.archives-ouvertes.fr/hal-02669741

R. Moussa, N. Chahinian, and C. Bocquillon, Distributed hydrological modelling of a Mediterranean mountainous catchment-Model construction and multi-site validation, J. Hydrol, vol.337, pp.35-51, 2007.
URL : https://hal.archives-ouvertes.fr/hal-02659182

R. Moussa, N. Chahinian, and C. Bocquillon, Distributed hydrological modelling of a Mediterranean mountainous catchment-Model construction and multi-site validation, Opportunities in the Hydrologic Sciences, vol.337, p.254, 1991.
URL : https://hal.archives-ouvertes.fr/hal-02659182

J. F. O'callaghan and D. M. Marks, The extraction of drainage networks from digital elevation data, Comput. Vision Graphics Image Process, vol.28, pp.323-344, 1984.

S. Orlandini, G. Moretti, M. Franchini, B. Aldighieri, and B. Testa, Path-based methods for the determination of nondispersive drainage directions in grid-based digital elevation models, Water Resour. Res, vol.39, issue.6, p.1144, 2003.

C. Paola, E. Foufoula-georgiou, W. E. Dietrich, M. Hondzo, D. Mohrig et al., Toward a unified science of the Earth's surface: Opportunities for synthesis among hydrology, geomorphology, geochemistry, and ecology, Water Resour. Res, vol.42, pp.3-10, 2006.

P. Passalacqua, P. Tarolli, and E. Foufoula-georgiou, Testing space-scale methodologies for automatic geomorphic feature extraction from lidar in a complex mountainous landscape, Water Resour. Res, vol.46, p.11535, 2010.

G. Peano, Sur une courbe qui remplit toute une aire plane, Math. Ann, vol.36, pp.157-160, 1890.

F. Pirotti and P. Tarolli, Suitability of lidar point density and derived landform curvature maps for channel network extraction, Hydrol. Processes, vol.24, pp.1187-1197, 2010.

A. Porporato and I. Rodríguez-iturbe, Ecohydrology-A challenging multidisciplinary research perspective, Hydrol. Sci. J, vol.47, issue.5, pp.811-821, 2002.

P. Quinn, K. Beven, P. Chevallier, and O. Planchon, The prediction of hillslope flow paths for distributed hydrological modeling using digital terrain models, Hydrol. Processes, vol.5, pp.59-79, 1991.

R. Rigon, I. Rodríguez-iturbe, and E. Ijjasz-vasquez, Optimal channel networks: A framework for the study of river basin morphology, Water Resour. Res, vol.29, pp.1635-1646, 1993.

R. Rigon, I. Rodríguez-iturbe, A. Maritan, A. Giacometti, D. G. Tarboton et al., On Hack's law, vol.32, pp.3367-3374, 1996.

R. Rigon, I. Rodríguez-iturbe, and A. Rinaldo, Feasible optimality implies Hack's law, vol.34, pp.3181-3189, 1998.

A. Rinaldo, A. Marani, and R. Rigon, Geomorphological dispersion, Water Resour. Res, vol.27, issue.4, pp.513-525, 1991.

A. Rinaldo, I. Rodríguez-iturbe, R. Rigon, R. L. Bras, E. Ijjasz-vasquez et al., Minimum energy and fractal structure of drainage networks, Water Resour. Res, vol.28, pp.2183-2195, 1992.

A. Rinaldo, I. Rodríguez-iturbe, R. Rigon, E. Ijjasz-vazquez, and R. L. Bras, Self-organized fractal river networks, Phys. Rev. Lett, vol.70, pp.822-825, 1993.

A. Rinaldo, G. K. Vogel, R. Rigon, and I. Rodríguez-iturbe, Can one gauge the shape of a basin?, Water Resour. Res, vol.31, pp.1119-1127, 1995.

A. Rinaldo, I. Rodríguez-iturbe, and R. Rigon, Channel networks, Annu. Rev. Earth Planet. Sci, vol.26, pp.289-327, 1998.

R. Rinaldo, J. R. Banavar, and A. Maritan, Trees, networks, and hydrology, vol.42, pp.6-07, 2006.

J. S. Robinson, M. Sivapalan, and J. D. Snell, On the relative roles of hillslope processes, channel routing, and network geomorphology in the hydrologic response of natural catchments, Water Resour. Res, vol.31, pp.3089-3101, 1995.

I. Rodríguez-iturbe and A. Rinaldo, Fractal River Basins: Chance and Self-Organization, vol.547, 1997.

I. Rodríguez-iturbe, E. Ijjasz-vasquez, R. L. Bras, and D. G. Tarboton, Power-law distribution of mass and energy in river basins, Water Resour. Res, vol.28, pp.1089-1093, 1992.

I. Rodríguez-iturbe, A. Rinaldo, R. Rigon, R. L. Bras, and E. Ijjasz-vasquez, Energy dissipation, runoff production and the three-dimensional structure of channel networks, Water Resour. Res, vol.28, pp.1095-1103, 1992.

A. H. Schumann, Development of conceptual semi-distributed models and estimation of their parameters with the aid of GIS, Hydrol. Sci. J, vol.38, issue.6, pp.519-528, 1993.

M. Sivapalan, Shaping an exciting future for the hydrological sciences, IAHS decade on predictions in ungauged basins (PUB), vol.48, pp.857-880, 2003.
URL : https://hal.archives-ouvertes.fr/hal-00711790

A. N. Strahler, Hypsometric (area altitude) analysis of erosional topography, Geol. Soc. Am. Bull, vol.63, p.63, 1952.

A. N. Strahler, Quantitative analysis of watershed geomorphology, Eos Trans. AGU, vol.38, p.912, 1957.

D. G. Tarboton, A new method for the determination of flow directions and upslope areas in grid digital elevation models, Water Resour. Res, vol.33, pp.309-319, 1997.

D. G. Tarboton, R. L. Bras, and I. Rodriguez-iturbe, On the fractal dimension of stream networks" by Paolo La Barbera and Renzo Rosso, Water Resour. Res, vol.26, pp.2243-2244, 1990.

D. G. Tarboton, R. L. Bras, and I. Rodríguez-iturbe, On the extraction of channel networks from digital elevation models, Hydrol. Processes, vol.5, pp.81-100, 1991.

P. Tarolli and G. D. Fontana, Hillslope-to-valley transition morphology: New opportunities from high resolution DTMs, Geomorphology, vol.113, pp.47-56, 2009.

R. A. Vertessy, T. J. Hatton, P. J. O'shaughnessy, and M. D. Jayasuriya, Predicting water yield from a mountain ash forest catchment using a terrain analysis based catchment model, J. Hydrol, vol.150, issue.93, p.90131, 1993.

D. A. Woolhiser, R. E. Smith, and D. C. Goodrich, KINEROS, a kinematic runoff and erosion model: Documentation and user manual, Agric. Res. Serv, 1990.

F. Colin, M. Supagro, U. Lisah, .. R. Laboratoire-d-;-france, M. Moussa et al., Étude des Interactions entre Sol-Agrosystème-Hydrosystème, 2 Place Pierre Viala, F-34060 Montpellier CEDEX 1, Étude des Interactions entre Sol-Agrosystème