Abstract
Three instantaneous unit hydrographs (IUH) are represented by three probability distribution functions deduced from an expression of the beta function, which depends on three parameters. The three IUHs presented, dependent on two parameters, were obtained by particularizing one of three parameters of the proposed beta function for three different values. In order to give a physical sense to the two parameters of the three presented hydrographs, these have been associated with the centroid and the time to peak. One of these three functions coincides with the gamma function. The three functions were applied for 32 direct runoff events in the Aixola (4.70 km2) and Oiartzun (56.07 km2) catchments, in northern Spain. The simulations performed with the three functions gave very satisfactory results. It was also observed that the two catchments had a significantly different IUH with regard to its shape. Editor D. Koutsoyiannis Citation Goñi, M., Gimena, F. N., and López, J.J., 2013. Three unit hydrographs based on the beta distribution function: a novel approach. Hydrological Sciences Journal, 58 (1), 1–12.
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