Statistical distribution of TSS event loads from small urban environments

Dominik Leutnant*, Dirk Muschalla, Mathias Uhl

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Results from a long-term stormwater quality monitoring program were used to derive total suspended solids (TSS) event load distributions at four small urban environments (flat roof, parking lot, residential catchment, high traffic street). Theoretical distribution functions were fitted to the empirical distribution functions obtained. Parameters of the theoretical distribution functions were optimized with respect to a likelihood function to get both optimized parameters and standard errors. Kolmogorov-Smirnov and Anderson-Darling test statistics were applied to assess the goodness-of-fit between empirical and theoretical distribution. The lognormal distribution function was found to be most expressive to approximate empirical TSS event load distributions at all sites. However, the goodness-of-fit of the statistical model strongly depends on the number of events available. Based on the results of a Monte-Carlo-based resampling strategy, around 40 events should be considered.

Original languageEnglish
Article number769
JournalWater (Switzerland)
Issue number6
Publication statusPublished - 12 Jun 2018


  • Event loads
  • Lognormal distribution
  • Probability distributions
  • Small urban sites
  • Stormwater quality
  • TSS

ASJC Scopus subject areas

  • Biochemistry
  • Geography, Planning and Development
  • Aquatic Science
  • Water Science and Technology

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