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The Value of Historical Data in Flood Frequency Analysis
Author(s) -
Hosking J. R. M.,
Wallis J. R.
Publication year - 1986
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/wr022i011p01606
Subject(s) - flood myth , return period , quantile , magnitude (astronomy) , 100 year flood , historical record , event (particle physics) , statistics , estimation , generalized extreme value distribution , extreme value theory , environmental science , geography , mathematics , history , engineering , archaeology , physics , systems engineering , quantum mechanics , astronomy , memoir , art history
A common problem in flood frequency analysis is estimation, from a short gauged record, of the flood corresponding to a return period of 50–1000 years. One would expect that an estimate of the historical maximum event; i.e., the maximum flood in a period of perhaps 100–200 years, would, if properly included in the estimation procedure, improve the resulting estimate of the flood magnitude at the given return period. We attempt to assess the value of historical information using computer simulation. An annual flood sequence and a historical maximum event are generated from ah extreme‐value distribution (of type I or II) and quantitiles of the distribution are estimated by maximum likelihood, both including the excluding the historical event. After many such simulations have been performed the accuracy of the quantile estimates is assessed. We also consider the effect of errors in the magnitude of historical discharge estimates and the use of historical data in regional flood frequency analysis.