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• Multifractal detrended fluctuation method is used to detect multifractality of the monthly runoff series.
• Multifractal singularity spectrum of the monthly runoff series is fitted with quadratic function.
• Broadness of probability density and long-range correlation are multifractal sources of the monthly runoff series.
• Multifractal strength of the monthly runoff series due to the broad probability density function is dominant.
An improved multifractal detrended fluctuation analysis(MF-DFA) method is applied to analyze the long-term monthly runoff records of a hydrological station in the Yangtze River with seasonal trend eliminated, through which the long-range correlation and the multifractal characteristics have been found. The multifractal spectrum has been fitted by a generalized expression of the multiplicative cascade model, and the results show that the monthly runoff series has strong multifractal characteristics. Comparing the results for the original runoff series with those of shuffled and surrogate series, it concludes that the multifractal characteristics of the monthly runoff time series is due to the broadness of both the probability density function and long-range correlation, and the broadness of the probability density function is dominant.
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Agoramoorthy G (2014) David Groenfeldt: water ethics: a values approach to solving the water crisis. Water Resour Manag 28:1481–1483
Bhuyan A, Borah M, Kumar R (2010) Regional flood frequency analysis of north-bank of the river brahmaputra by using LH-moments. Water Resour Manag 24(9):1779–1790
Blender R, Fraedrich K (2006) Long-term memory of the hydrological cycle and river runoffs in China in a high-resolution climate model. Int J Climatol 26:1547–1565 CrossRef
Bunde EK, Kantelhardt JW, Braun P, Bunde A, Havlin S (2006) Long-term persistence and multifractality of river runoff records: detrended fluctuation studies. J Hydrol 322:120–137 CrossRef
Chianca CV, Ticona A, Penna TJ (2005) Fourier-detrended fluctuation analysis. Phys A 357:447–454 CrossRef
Deidda R (2000) Rainfall downscaling in a space-time multifractal framework. Water Resour Res 36(7):1779–1794 CrossRef
Deidda R, Benzi R, Siccardi F (1999) Multifractal modeling of anomalous scaling laws in rainfall. Water Resour Res 35(6):1853–1867 CrossRef
Douglas EM, Barros AP (2003) Probable maximum precipitation estimation using multifractals: application in the eastern united states. J Hydrometeorol 4(6):1012–1024 CrossRef
Ghosh S, Katkar S (2012) Modeling uncertainty resulting from multiple downscaling methods in assessing hydrological impacts of climate change. Water Resour Manag 26(12):3559–3579
Hu K, Ivanov PC, Chen Z, Carpena P, Stanley HE (2001) Effect of trends on detrended fluctuation analysis. Phys Rev E 64(1):011114 CrossRef
Hurst HE (1951) Long-term storage capacity of reservoirs. Trans Am Soc Civ Eng 116:770–808
Kantelhardt JW, Zschiegner SA, Bunde EK, Havlin S, Bunde A, Stanley HE (2002) Multifractal detrended fluctuation analysis of nonstationary time series. Phys A 316(1–4):87–114 CrossRef
Kantelhardt JW, Rybski D, Zschiegner SA, Braun P, Bunde EK, Livina V, Havlin S, Bunde A (2003) Multifractality of river runoff and precipitation: comparison of fluctuation analysis and wavelet methods. Phys A 330:240–245 CrossRef
Kim Z, Singh VP (2014) Assessment of environmental flow requirements by entropy-based multi-criteria decision. Water Resour Manag 28:459–474
Koutsoyiannis D (2005) Uncertainty, entropy, scaling and hydrological statistics: time dependence of hydrological processes and time scaling. Hydrol Sci J 50(3):405–426
Livina VN, Ashkenazy Y, Braun P, Monetti R, Bunde A, Havlin S (2003) Nonlinear volatility of river flux fluctuations. Phys Rev E 67(4):042101 CrossRef
Livina V, Kizner Z, Braun P, Molnar T, Bunde A, Havlin S (2007) Temporal scaling comparison of real hydrological data and model runoff records. J Hydrol 336:186–198 CrossRef
Matsoukas C, Islam S (2000) Detrended fluctuation analysis of rainfall and streamflow time series. J Geophys Res 105(D23):165–172
Movahed MS, Hermanis E (2008) Fractal analysis of river flow fluctuations. Phys A 387:915–932 CrossRef
Ooms M, Franses PH (2001) A seasonal periodic long memory model for monthly river flows. Environ Model Softw 16:559–569 CrossRef
Peng CK, Buldyrev SV, Havlin S, Simons M, Stanley HE, Goldberger AL (1994) Mosaic organization of DNA nucleotides. Phys Rev E 49(2):1685–1689 CrossRef
Potter KW (1976) Evidence for nonstationarity as a physical explanation of the Hurst phenomenon. Water Resour Res 12(5):1047–1052 CrossRef
Schreiber T, Schmitz A (1996) Improved surrogate data for nonlinearity tests. Phys Rev Lett 77:635–638 CrossRef
Schreiber T, Schmitz A (2000) Surrogate time series. Phys D 142:346–382 CrossRef
Shimizu Y, Thurner S, Ehrenberger K (2002) Multifractal spectra as a measure of complexity in human posture. Fractals 10(1):103–116 CrossRef
Telesca L, Lapenna V (2006) Measuring multifractality in seismic sequences. Tectonophysics 423(1–4):115–123 CrossRef
Wang W, Vrijling JK, Van Gelder P, Ma J (2006) Testing for nonlinearity of streamflow processes at different timescales. J Hydrol 322(1–4):247–268 CrossRef
Wu H, Soh LK, Samal A, Chen X (2008) Trend analysis of streamflow drought events in nebraska. Water Resour Manag 22(2):145–164
Zhang Z, Dehoff AD, Pody RD, Balay JW (2010) Detection of streamflow change in the susquehanna river basin. Water Resour Manag 24(10):1947–1964
Zhou X, Persaud N, Wang H (2006) Scale invariance of daily runoff time series in agricultural watersheds. Hydrol Earth Syst Sci 10:79–91 CrossRef
- Multiscaling Analysis of Monthly Runoff Series Using Improved MF-DFA Approach
- Springer Netherlands