Discussion on the corresponding flood frequency in the Hydrological Equivalent Frequency Regional Composition method
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Abstract:
The spatial distribution rules of hydrological variables are often studied in hydrology. The Equivalent Frequency Regional Composition (EFRC) method is an important approach to solving this problem at present. However, there are still some theoretical issues that remain unsolved. Take as an example the composition scheme of "same design frequencies at upstream and downstream, with corresponding value at the interval", we cannot determine which is larger between the frequency of the interval area (C) and the design flood frequency (P) at both upstream and downstream due to a lack of theoretical proof. In this study, we investig ated the relationships between C and P for the normal and Pearson type III ( PE3) distributio ns by means of theo retical deriv at ion and Mo nte Carlo ( MC) ex periment . Results showed that C is lar ger than P for the design flood problem, while for the design problem of runoff or lowflow , P is larger than C. Ther efore, this study has clarified in theory the design frequency of corresponding value at the interval for the EFRC method.