Constrained scaling approach for design rainfall estimation |
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Authors: | Yue-Ping Xu Yeou-Koung Tung |
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Institution: | (1) Department of Civil Engineering, Institute of Hydrology and Water Resources, Zhejiang University, Hangzhou, China;(2) Department of Civil Engineering, Hong Kong University of Science and Technology, Clear Water Bay, Hong Kong, China |
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Abstract: | Rainfall depth (or intensity) of the same frequency should follow a non-decreasing relationship with rainfall duration. However,
due to the use of finite samples and sampling error, rainfall frequency analysis could yield rainfall intensity (depth)–frequency
(IDF, DDF) curves of different durations that might intersect among them. Results of this kind violate physical reality and
it is more likely to occur when rainfall record length gets shorter. To ensure the compliance of the physical reality, this
paper applied the scale-invariant approach, in conjunction with constrained regression analysis, to circumvent intersections
in rainfall IDF or DDF curves. Rainfall data of various durations at rain gauge in Hong Kong are used to demonstrate the procedure.
Numerical investigation indicates that the proposed procedure yields more reasonable results than those based on the conventional
frequency analysis, especially when only a small sample of data are available. |
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Keywords: | Frequency analysis Rainfall intensity (depth)– duration– frequency Scale-invariant property Constrained regression analysis |
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