Comparative study of flood quantiles estimation by nonparametric models

Kyung Duk Kim, Jun Haeng Heo

Research output: Contribution to journalArticlepeer-review

39 Citations (Scopus)


There are two basic approaches for estimating flood quantiles: a parametric and a nonparametric method. In this study, the comparisons of parametric and nonparametric models for annual maximum flood data of Goan gauging station in Korea were performed based on Monte Carlo simulation. In order to consider uncertainties that can arise from model and data errors, kernel density estimation for fitting the sampling distributions was chosen to determine safety factors (SFs) that depend on the probability model used to fit the real data. The relative biases of Sheater and Jones plug-in (SJ) are the smallest in most cases among seven bandwidth selectors applied. The relative root mean square errors (RRMSEs) of the Gumbel (GUM) are smaller than those of any other models regardless of parent models considered. When the Weibull-2 is assumed as a parent model, the RRMSEs of kernel density estimation are relatively small, while those of kernel density estimation are much bigger than those of parametric methods for other parent models. However, the RRMSEs of kernel density estimation within interpolation range are much smaller than those for extrapolation range in comparison with those of parametric methods. Among the applied distributions, the GUM model has the smallest SFs for all parent models, and the general extreme value model has the largest values for all parent models considered.

Original languageEnglish
Pages (from-to)176-193
Number of pages18
JournalJournal of Hydrology
Issue number1-4
Publication statusPublished - 2002 Mar 15

Bibliographical note

Funding Information:
The research leading to this paper has been sponsored by the Korea Research Foundation and Internal Research Fund of Yonsei University in Korea. Acknowledgements are also due to three anonymous reviewers who gave suggestions that improved the paper.

All Science Journal Classification (ASJC) codes

  • Water Science and Technology


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