Abstract

Under changing environment, the streamflow series in the Yangtze River have undergone great changes and it has raised widespread concerns. In this study, the annual maximum flow (AMF) series at the Yichang station were used for flood frequency analysis, in which a time varying model was constructed to account for non-stationarity. The generalized extreme value (GEV) distribution was adopted to fit the AMF series, and the Generalized Additive Models for Location, Scale and Shape (GAMLSS) framework was applied for parameter estimation. The non-stationary return period and risk of failure were calculated and compared for flood risk assessment between stationary and non-stationary models. The results demonstrated that the flow regime at the Yichang station has changed over time and a decreasing trend was detected in the AMF series. The design flood peak given a return period decreased in the non-stationary model, and the risk of failure is also smaller given a design life, which indicated a safer flood condition in the future compared with the stationary model. The conclusions in this study may contribute to long-term decision making in the Yangtze River basin under non-stationary conditions.

Highlights

  • Frequency analysis plays an important role in hydrological modelling and has been applied in calculation of design values for dams and many other hydraulic constructions

  • This paper aims to evaluate the effect of nonstationarity on flood frequency analysis in the Yangtze River

  • 64 years of annual maximum flow (AMF) series at the Yichang station were used for non-stationary flood frequency analysis, the GAMLSS framework was applied to construct a non-stationary generalized extreme value (GEV) distribution

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Summary

Introduction

Frequency analysis plays an important role in hydrological modelling and has been applied in calculation of design values for dams and many other hydraulic constructions. [3] used a log-Pearson III distribution for non-stationary extreme value analysis of flood peaks in the United State. There are criticisms that it may lead to underestimation of variability, uncertainty and risk when used carelessly [4], non-stationary modelling framework can bring us a new perspective into hydrologic modelling, providing relevant department with valuable information to hydraulic engineering design and flood prevention. In terms of non-stationary, it may conceal the actual meaning of underlying mechanism and even lead to misconceptions.

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