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Martin-Pierre Lavigne, Alain N. Rousseau, Richard Turcotte, Anne-Marie Laroche, Jean-Pierre Fortin, and Jean-Pierre Villeneuve

database. Surface runoff is estimated for each time step using a geomorphologic unit hydrograph after calculating the vertical water balance. The shape of this unit hydrograph is determined by routing a reference depth of water over all DEM cells of an RHHU according to a kinematic wave model. This method takes into account the flow structure within an RHHU and pathway roughness to the river segment. Two algorithms allow for simulation of streamflow: kinematic wave and diffusing wave. These consider

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In-Young Yeo, Steven I. Gordon, and Jean-Michel Guldmann

: physically based and empirically based. A physically based model is developed from the mathematical equations describing the runoff phenomena. These equations, the Saint Venant equations, have been found to be too complex and difficult to implement. They have been simplified to become the kinematic wave model, the diffusion wave model, and the dynamic wave model for practical computer modeling ( Chow et al., 1989 ; Singh, 1995 ). However, these simplified versions of physical models are still too

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