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Incorporating uncertainty analysis into a regional IDF formula
Author(s) -
Yu PaoShan,
Cheng ChiaJung
Publication year - 1998
Publication title -
hydrological processes
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.222
H-Index - 161
eISSN - 1099-1085
pISSN - 0885-6087
DOI - 10.1002/(sici)1099-1085(19980430)12:5<713::aid-hyp610>3.0.co;2-j
Subject(s) - statistics , dimensionless quantity , rain gauge , mathematics , regression , regression analysis , intensity (physics) , return period , linear regression , series (stratigraphy) , meteorology , pooling , environmental science , precipitation , computer science , geology , geography , physics , archaeology , quantum mechanics , mechanics , flood myth , paleontology , artificial intelligence
A rainfall intensity–duration–frequency (IDF) relationship was generated by pooling annual maximum rainfall series from 14 recording rain gauges in southern Taiwan. Dimensionless frequency curves, plotted by the growth curve method, can be well fitted by regression equations for a duration ranging from 10 mins to 24 hours. As the parameters in regression equations have a good statistical relationship with average annual rainfall, a generalized regional IDF formula was then formulated. The formula, based on average annual rainfall as an index, can be easily applied to non‐recording rain gauges. This paper further applies the mean value first‐order second moment (MFOSM) method to estimate the uncertainty of the proposed regional IDF formula. From a stochastic viewpoint, the generalized regional IDF formula can accurately simulate the IDF relationship developed using frequency analysis (EV1) at individual stations. The method can provide both rainfall intensity and variance isohyetal maps for various rainfall durations and return periods over the study area. © 1998 John Wiley & Sons, Ltd.