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Revisiting Turcotte’s approach: flood frequency analysis
Journal article   Open access   Peer reviewed

Revisiting Turcotte’s approach: flood frequency analysis

Witold F. Krajewski, Lindsay Otto, Srishti Vishwakarma and Gabriel Perez
Stochastic environmental research and risk assessment, Vol.37(5), pp.2013-2022
2023
DOI: 10.1007/s00477-022-02344-6
url
https://doi.org/10.1007/s00477-022-02344-6View
Published (Version of record) Open Access

Abstract

Flood frequency estimation forms the basis for engineering design of hydraulic structures, including bridges and culverts, local and regional development planning, and flood insurance. In the United States, the Water Resources Council recommends using the Log-Pearson Type III (LP3) distribution as a standard for use with the annual peak flow data. However, researchers have argued for the use of more than one streamflow value in a year thus increasing the sample size and decreasing the sampling error in the estimates of the flood quantiles. In this study, conducted over Iowa, the authors revisit the method proposed by Donald Turcotte and others to use power-law distribution applied to streamflow peak values for events separated by a time window. In contrast to those earlier studies, the authors applied formal statistical approach based on the maximum likelihood method and Kolmogorov-Smirnov statistic for parameter estimation. They also propose a novel simulation framework for the estimation of the sampling uncertainty of the power-law distribution. They apply the methodology to streamflow data from 62 USGS stream gauges in Iowa. The key finding of the study is that low-probability quantile estimates using Turcotte’s method result in conservative estimates when compared with LP3 distribution confirming the earlier outcomes.
Computer Science Physics Aquatic Pollution Brief Report Chemistry and Earth Sciences Computational Intelligence Earth and Environmental Science Earth Sciences Environment General Math. Appl. in Environmental Science Probability Theory and Stochastic Processes Statistics for Engineering Waste Water Technology Water Management Water Pollution Control

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