Hydraulic geometry and the nonlinearity of the network instantaneous response

Kyungrock Paik, Praveen Kumar

Research output: Contribution to journalArticlepeer-review


We postulate that the spatial variability in flow velocity in a basin, arising from the systematic downstream variation of celerity, may explain the observed nonlinear rainfall-runoff relationships. This is based on the argument that different rainfall excess rates will produce different velocity fields in a basin due to the nonlinear relation between velocity and flow. In particular, we show that if the mean velocity V varies with flow Q as V ∝ Q m, then the time to peak tp and the peak f(tp) of the network instantaneous response function (IRF) vary as tp ∝ ie-m and f(tp) ∝ ie +m, where ie is the rainfall excess rate.

Original languageEnglish (US)
Pages (from-to)W036021-W036027
JournalWater Resources Research
Issue number3
StatePublished - Mar 2004


  • Hydraulic geometry
  • Instantaneous response function
  • Kinematic dispersion
  • Nonlinearity

ASJC Scopus subject areas

  • Water Science and Technology


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