Abstract

Abstract. Recently, the evidences of climate change have been observed in hydrologic data such as rainfall and flow data. The time-dependent characteristics of statistics in hydrologic data are widely defined as nonstationarity. Therefore, various nonstationary GEV and generalized Pareto models have been suggested for frequency analysis of nonstationary annual maximum and POT (peak-over-threshold) data, respectively. However, the alternative models are required for nonstatinoary frequency analysis because of analyzing the complex characteristics of nonstationary data based on climate change. This study proposed the nonstationary generalized logistic model including time-dependent parameters. The parameters of proposed model are estimated using the method of maximum likelihood based on the Newton-Raphson method. In addition, the proposed model is compared by Monte Carlo simulation to investigate the characteristics of models and applicability.

Highlights

  • Various evidences of climate change have been observed in hydrologic data (Jain and Lall, 2000, 2001)

  • The alternative models are required for nonstatinoary frequency analysis because of analyzing the complex characteristics of nonstationary data based on climate change

  • The generalized logistic distribution is recommended for the flood frequency analysis in UK by Flood Estimation Handbook (Institute of Hydrology, 1999)

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Summary

Introduction

Various evidences of climate change have been observed in hydrologic data (Jain and Lall, 2000, 2001). The time-dependent characteristics of statistics in hydrologic data are widely defined as nonstationarity. For analyzing the time-dependent characteristics of hydrologic data, various approaches for the nonstationary frequency analysis have been studied in the recent years. Among many nonstationary frequency analyses, the nonstationary GEV and generalized Pareto models have been mainly suggested for frequency analysis of nonstationary annual maximum and POT (peak-over-threshold) data, respectively. The alternative models are required for nonstatinoary frequency analysis because of analyzing the complex characteristics of nonstationary data based on climate change. For this purpose, this study proposed the nonstationary generalized logistic model including time-dependent parameters. The proposed model is evaluated by Monte Carlo simulation to investigate the characteristics of models and applicability compared to the stationary generalized logistic model under various simulation conditions

Generalized logistic distribution
Nonstationary generalized logistic model
Simulation study
Conclusions
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