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AGU: Water Resources Research

 

Keywords

  • Ecuador
  • Markov-switching model
  • runoff generation
  • El Niño
  • nonstationarity
  • stochastic modeling

Index Terms

  • Hydrology: Stochastic hydrology
  • Hydrology: Streamflow
  • Hydrology: Climate impacts
  • Hydrology: Modeling

Abstract

WATER RESOURCES RESEARCH, VOL. 46, W02517, 13 PP., 2010
doi:10.1029/2009WR007736

Markov-switching model for nonstationary runoff conditioned on El Niño information

E. Gelati

Department of Environmental Engineering, Technical University of Denmark, Kongens Lyngby, Denmark

H. Madsen

DHI Water-Environment-Health, Hørsholm, Denmark

D. Rosbjerg

Department of Environmental Engineering, Technical University of Denmark, Kongens Lyngby, Denmark

We define a Markov-modulated autoregressive model with exogenous input (MARX) to generate runoff scenarios using climatic information. Runoff parameterization is assumed to be conditioned on a hidden climate state following a Markov chain, where state transition probabilities are functions of the climatic input. MARX allows stochastic modeling of nonstationary runoff, as runoff anomalies are described by a mixture of autoregressive models with exogenous input, each one corresponding to a climate state. We apply MARX to inflow time series of the Daule Peripa reservoir (Ecuador). El Niño-Southern Oscillation (ENSO) information is used to condition runoff parameterization. Among the investigated ENSO indexes, the NINO 1+2 sea surface temperature anomalies and the trans-Niño index perform best as predictors. In the perspective of reservoir optimization at various time scales, MARX produces realistic long-term scenarios and short-term forecasts, especially when intense El Niño events occur. Low predictive ability is found for negative runoff anomalies, as no climatic index correlating properly with negative inflow anomalies has yet been identified.

Received 14 January 2009; accepted 20 October 2009; published 27 February 2010.

Citation: Gelati, E., H. Madsen, and D. Rosbjerg (2010), Markov-switching model for nonstationary runoff conditioned on El Niño information, Water Resour. Res., 46, W02517, doi:10.1029/2009WR007736.

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