Constrained scaling approach for design rainfall estimation

Yue Ping Xu*, Yeou-Koung Tung

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

14 Scopus citations


Rainfall depth (or intensity) of the same frequency should follow a non-decreasing relationship with rainfall duration. However, due to the use of finite samples and sampling error, rainfall frequency analysis could yield rainfall intensity (depth)-frequency (IDF, DDF) curves of different durations that might intersect among them. Results of this kind violate physical reality and it is more likely to occur when rainfall record length gets shorter. To ensure the compliance of the physical reality, this paper applied the scale-invariant approach, in conjunction with constrained regression analysis, to circumvent intersections in rainfall IDF or DDF curves. Rainfall data of various durations at rain gauge in Hong Kong are used to demonstrate the procedure. Numerical investigation indicates that the proposed procedure yields more reasonable results than those based on the conventional frequency analysis, especially when only a small sample of data are available.

Original languageEnglish
Pages (from-to)697-705
Number of pages9
JournalStochastic Environmental Research and Risk Assessment
Issue number6
StatePublished - 1 Aug 2009


  • Constrained regression analysis
  • Frequency analysis
  • Rainfall intensity (depth)-duration-frequency
  • Scale-invariant property

Fingerprint Dive into the research topics of 'Constrained scaling approach for design rainfall estimation'. Together they form a unique fingerprint.

Cite this