Application of L-moments for IDF determination in an Austrian basin

Majid Galoie*, Gerald Zenz, Saeid Eslamian

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


The aim of this paper is to evaluate a precise intensity-duration-frequency (IDF) relation for a small catchment area which is situated at the north part of Graz in Austria. In order to determine the probability of occurrence of any rainfall event, the frequency distribution, which can fit past characteristics on the magnitude and the probability of occurrence of such rainfalls, should be known. In this paper, in order to find the best-fit probability distribution model, some parameter estimation techniques such as L-moments and maximum likelihood models were used and for goodness of fit test, three methods were used as chi-square, Kolmogorov-Smirnov and the root mean square error (RMSE). In this paper, a comparison between four commonly used rainfall frequency distributions were carried out such as generalised extreme value (GEV), Gumbel, log-Pearson type 3 (LP3) and three-parameter log-normal (LN3). Finally, using the best-fit probability distribution, the IDF for this catchment area using a simple graphical method was determined.

Original languageEnglish
Pages (from-to)30-48
Number of pages19
JournalInternational Journal of Hydrology Science and Technology
Issue number1
Publication statusPublished - 2013


  • IDF
  • Intensity-duration-frequency
  • L-moments
  • Maximum likelihood method
  • Probability distribution
  • Sherman equation

ASJC Scopus subject areas

  • Environmental Engineering
  • Water Science and Technology
  • Waste Management and Disposal
  • Earth and Planetary Sciences (miscellaneous)


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