Abstract
The problem of flood frequency similarity among river basins is analyzed by deriving a scale‐independent, dimensionless flood frequency curve. The model is formulated using dimensionless rainfall inputs and a dimensionless basin response function. For the rainfall intensity the probability distribution for dimensionless areal rainfall is derived and depends upon a geoclimatic scaling factor which is a function of the basin size and the rainfall areal correlation structure. Rainfall duration is scaled by τ, a characteristic basin time. This same parameter is used to develop a dimensionless geomorphologic unit hydrograph. The derived dimensionless flood frequency curve can be used to further understand the variability of flood statistics within a contiguous area and to group stations for regional flood frequency analysis using statistical techniques.
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