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A stochastic model of river discharge fluctuations

Author

Listed:
  • Livina, V.
  • Ashkenazy, Y.
  • Kizner, Z.
  • Strygin, V.
  • Bunde, A.
  • Havlin, S.

Abstract

We study the daily river flow fluctuations of 30 international rivers. Using the detrended fluctuation analysis, we study the correlations in the magnitudes of river flow increments (volatilities), and find power-law correlations in volatilities for time scales less than 1 year; these correlations almost disappear for time scales larger than 1 year. Using surrogate data test for nonlinearity, we show that correlations in the magnitudes of river flow fluctuations are a measure for nonlinearity. We propose a simple nonlinear stochastic model for river flow fluctuations that reproduces the main scaling properties of the river flow series as well as the correlations and periodicities in the magnitudes of river flow increments. According to our model, the source of nonlinearity observed in the data is an interaction between a long-term correlated process and the river discharge itself.

Suggested Citation

  • Livina, V. & Ashkenazy, Y. & Kizner, Z. & Strygin, V. & Bunde, A. & Havlin, S., 2003. "A stochastic model of river discharge fluctuations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 330(1), pages 283-290.
    • Handle: RePEc:eee:phsmap:v:330:y:2003:i:1:p:283-290
    DOI: 10.1016/j.physa.2003.08.012
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    Cited by:

    1. Stratimirovic, Djordje & Batas-Bjelic, Ilija & Djurdjevic, Vladimir & Blesic, Suzana, 2021. "Changes in long-term properties and natural cycles of the Danube river level and flow induced by damming," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 566(C).
    2. Morales Martínez, Jorge Luis & Segovia-Domínguez, Ignacio & Rodríguez, Israel Quiros & Horta-Rangel, Francisco Antonio & Sosa-Gómez, Guillermo, 2021. "A modified Multifractal Detrended Fluctuation Analysis (MFDFA) approach for multifractal analysis of precipitation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 565(C).
    3. Yu, Zu-Guo & Leung, Yee & Chen, Yongqin David & Zhang, Qiang & Anh, Vo & Zhou, Yu, 2014. "Multifractal analyses of daily rainfall time series in Pearl River basin of China," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 405(C), pages 193-202.
    4. Braga, A.C. & Alves, L.G.A. & Costa, L.S. & Ribeiro, A.A. & de Jesus, M.M.A. & Tateishi, A.A. & Ribeiro, H.V., 2016. "Characterization of river flow fluctuations via horizontal visibility graphs," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 444(C), pages 1003-1011.
    5. Al Sawaf, Mohamad Basel & Kawanisi, Kiyosi & Kagami, Junya & Bahreinimotlagh, Masoud & Danial, Mochammad Meddy, 2017. "Scaling characteristics of mountainous river flow fluctuations determined using a shallow-water acoustic tomography system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 484(C), pages 11-20.

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