Abstract
The two-parameter Gamma distribution is presented as a basis for synthetic hydrographs with a review of existing applications and non-feasible applications are identified. Several approaches for fitting this function to practical boundary condition parameters are identified and presented in a unified treatment. They are especially designed for use on small programmable calculators since the synthetic hydrograph is extremely sensitive to the Gamma distribution parameters. Nomographs would give large errors in the fit for small errors in the boundary condition parameters. Although non-dimensionalization of the synthetic hydrograph is possible with the Gamma distribution, it is shown to be unnecessary. Current uses of “standard” non-dimensional hydrographs are shown to be in error.
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