Application of bivariate frequency analysis to the derivation of rainfall-frequency curves

Chang Hwan Lee, Tae Woong Kim, Gunhui Chung, Minha Choi, Chulsang Yoo

Research output: Contribution to journalArticlepeer-review

25 Citations (Scopus)


Bivariate distributions have been recently employed in hydrologic frequency analysis to analyze the joint probabilistic characteristics of multivariate storm events. This study aims to derive practical solutions of application for the bivariate distribution to estimate design rainfalls corresponding to the desired return periods. Using the Gumbel mixed model, this study constructed rainfall-frequency curves at sample stations in Korea which provide joint relationships between amount, duration, and frequency of storm events. Based on comparisons and analyses of the rainfall-frequency curves derived from univariate and bivariate storm frequency analyses, this study found that conditional frequency analysis provides more appropriate estimates of design rainfalls as it more accurately represents the natural relationship between storm properties than the conventional univariate storm frequency analysis.

Original languageEnglish
Pages (from-to)389-397
Number of pages9
JournalStochastic Environmental Research and Risk Assessment
Issue number3
Publication statusPublished - 2010


  • Bivatiate frequency analysis
  • Design rainfall
  • Gumbel mixed model

ASJC Scopus subject areas

  • Environmental Engineering
  • Environmental Chemistry
  • Water Science and Technology
  • Safety, Risk, Reliability and Quality
  • Environmental Science(all)


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