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Trend and long-range correlation characteristics analysis of runoff in upper Fenhe River basin

  • Water Resources and the Regime of Water Bodies
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Abstract

In order to explore long-term evolution rule and future trend of runoff time series, and exactly detect its tendency and long-range correlation characteristics, runoff data covering 1952–2012 from 3 stations across the upper Fenhe River basin were analyzed. The moving average method, Empirical Mode Decomposition (EMD) method and Mann-Kendall (M-K) trend test method were simultaneously applied to analyze the trend characteristics firstly. Then Rescaled Range analysis (R/S) and Detrended Fluctuation Analysis (DFA) methods were employed to research the long-range correlation characteristics and length of non-periodic cycle of hydrological time series, they can systematically detect and overcome non-stationarity at all time scales. Finally, predict the future trend by combining the trend characteristics with the long-range correlation characteristics and length of non-periodic cycle. The results illustrate the annual runoff series is non-linear, non-normal time series, and have 10 years non-periodic cycle length and noticeable descending trend. This descending trend will continue in a period time of future.

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References

  1. Apsite, E., Rudlapa, I., Latkovska, I., and Elferts, D., Changes in Latvian river discharge regime at the turn of the century, Hydrol. Res., 2013, vol. 44, pp. 554–569.

    Article  Google Scholar 

  2. Benestad, R.E., Benestad, R.E., Hanssen-Bauer, I., and Forland, E.J., An evaluation of statistical models for downscaling precipitation and their ability to capture long-term trends, Int. J. Climatol., 2007, vol. 27, pp. 649–665.

    Article  Google Scholar 

  3. Beuchat, X., Schaefli, B., Soutter, M., and Mermoud, A., Toward a robust method for subdaily rainfall downscaling from daily data, Water Resour. Res., 2011, vol. 47, pp. 1–18.

    Article  Google Scholar 

  4. Cui, B.L., Chang, X.L., and Shi, W.Y., Abrupt changes of runoff and sediment load in the lower reaches of the Yellow River, China, Water Resour., 2014, vol. 41, 252–260.

    Google Scholar 

  5. Fan, J.J., Huang, Q., Chang, J.X., Sun, D.Y., and Cui, S., Detecting abrupt change of Streamflow at Lintong station of Wei River, Math. Probl. Eng., 2013, vol. 2013, pp. 1–9.

    Google Scholar 

  6. Guan, H., Wilson, J.L., and Xie, H.J., A cluster-optimizing regression-based approach for precipitation spatial downscaling in mountainous terrain. J. Hydrol., 2009, vol. 375, pp. 578–588.

    Article  Google Scholar 

  7. Gulich, D. and Zunino, L., A criterion for the determination of optimal scaling ranges in DFA and MF-DFA, Physica A, 2014, vol. 397, pp. 17–30.

    Article  Google Scholar 

  8. Huang, N.E., Zheng, S., Steven R.L., A new view of nonlinear water waves: The Hilbert Spectrum, Annu. Rev. Fluid. Mech., 1999, vol. 31, pp. 417–457.

    Article  Google Scholar 

  9. Huang, Q. and Fan, J.J., Detecting runoff variation of the mainstream in Weihe River, J. Appl. Math., 2013, vol. 2013, pp. 1–8. doi 10.1155/2013/356474

    Google Scholar 

  10. Jung, I.W. and Chang, H.J., Assessment of future runoff trends under multiple climate change scenarios in the Willamette River Basin, Oregon, USA, Hydrol. Process, 2011, vol. 25, pp. 258–277.

    Article  Google Scholar 

  11. Kantelhardt, J.W., Koscielny-Bunde, E., Rybski, D., Braun, P., Bunde, A., and Havlin, S., Long-term persistence and multifractality of precipitation and river runoff records, J. Geophys. Res., 2006, vol. 111, pp. 1–13.

    Article  Google Scholar 

  12. Koscielny-Bunde, E., Kantelhardt, J.W., Braun, P., Bunde, A., and Havlin, S. Long-term persistence and multifractality of river runoff records: Detrended fluctuation studies, J. Hydrol., 2006, vol. 322, pp. 120–137.

    Article  Google Scholar 

  13. Kumar, S., Merwade, V., Kam, J., and Thurner, K., Streamflow trends in Indiana: Effects of long term persistence, precipitation and subsurface drains, J. Hydrol., 2009, vol. 374, pp. 171–183.

    Article  Google Scholar 

  14. Kurothe, R.S., Umar, G., Singh, R., Singh, H.B., Tiwari, S.P., Vishwakarma, A.K., Sena, D.R., and Pande, V.C., Effect of tillage and cropping systems on runoff, soil loss and crop yields under semiarid rainfed agriculture in India, Soil. Till. Res., 2014, vol. 140, pp. 126–134.

    Article  Google Scholar 

  15. Lamptey, B.L., Comparison of gridded multisatellite rainfall estimates with gridded gauge rainfall over west Africa, J. Appl. Meteorol. Clim., 2008, vol. 47, pp. 185–205.

    Article  Google Scholar 

  16. Livina, V., Kizner, Z., Braun, P., Molnar, T., Bunde, A., and Havlin, S., Temporal scaling comparison of real hydrological data and model runoff records, J. Hydrol., 2007, vol. 336, pp. 186–198.

    Article  Google Scholar 

  17. Mitchell, J.M. et al., Climate Change, WMO Technical Note no. 79, World Meteorological Organization, 1996.

    Google Scholar 

  18. Mondal, M.S. and Chowdhury, J.U., Generation of 10-day flow of the Brahmaputra River using a time series mode, Hydrol. Res., 2013, vol. 44, pp. 1071–1083.

    Article  Google Scholar 

  19. Movahed, M.S. and Hermanis, E., Fractal analysis of river flow fluctuations, Physica A, 2008, vol. 387, pp. 915–932.

    Article  Google Scholar 

  20. Peng, C.K., Buldyrev, S.V., Havlin, S., Simons, M., Stanley, H.E., and Goldberger, A.L., Mosaic organization of DNA nucleotides, Phys. Rev. E, 1994, vol. 49, pp. 1685–1699.

    Article  Google Scholar 

  21. Riegger, J. and Tourian, M.J., Characterization of runoff-storage relationships by satellite gravimetry and remote sensing, Water. Resour. Res., 2014, vol. 50, pp. 3444–3466.

    Article  Google Scholar 

  22. Schumann, A.Y. and Kantelhardt, J.W., Multifractal moving average analysis and test of multifractal model with tuned correlations, Physica A, 2011, vol. 390, pp. 2637–2654.

    Article  Google Scholar 

  23. Stonevicius, E., Valiuskevicius, G., Rimkus, E., and Kazys, J., Climate induced changes of Lithuanian Rivers runoff in 1960–2009, Water Resour., 2014, vol. 41, pp. 592–603.

    Article  Google Scholar 

  24. Storch, H.V. and Navarra, A., Analysis of Climate Variability: Applications of Statistical Techniques, Japan: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1995.

    Book  Google Scholar 

  25. Szolgayova, E., Laaha, G., Bloschl, G., and Bucher, C., Factors influencing long range dependence in streamflow of European rivers, Hydrol. Process., 2014, vol. 28, pp. 1573–1586.

    Article  Google Scholar 

  26. Tian, Y., Xu, Y.P., Booij, M.J., Zhang, Q.Q., and Lin, S.J., Trends in Precipitation Extremes and Long-Term Memory of Runoff Records in Zhejiang, East China, Australia: Hydro-Climatology, Variability and Change, 2011.

    Google Scholar 

  27. Xu, J.H., Li, W.H., Ji, M.H., Lu, F., and Dong, S., A comprehensive approach to characterization of the nonlinearity of runoff in the headwaters of the Tarim River, western China, Hydrol. Res., 2010, vol. 24, pp. 136–146.

    Google Scholar 

  28. Yang, Y.H. and Tian, F., Abrupt change of runoff and its major driving factors in Haihe River Catchment, China, J. Hydrol., 2009, vol. 374, pp. 373–383.

    Article  Google Scholar 

  29. Yin, X.A., Yang, X.H., and Yang, Z.F., Using the R/S method to determine the periodicity of time series, Chaos. Soliton. Fract., 2009, vol. 39, pp. 731–745.

    Article  Google Scholar 

  30. Yuan, X.H., Ji, B., Tian, H., and Huang, Y.H., Multiscaling analysis of monthly runoff series using improved MF-DFA approach. Water Resour. Res., 2014, vol. 28, pp. 3891–3903.

    Google Scholar 

  31. Zhang, D., Liu, X.M., Liu, C.M., and Bai, P., Responses of runoff to climatic variation and human activities in the Fenhe River, China, Stoch. Env. Res. Risk. A, vol. 27, pp. 1293–1301.

  32. Zhang, Q.A., Zhou, Y., Singh, V.P., and Chen, Y.D., Comparison of detrending methods for fluctuation analysis in hydrology, J. Hydrol., 2011, vol. 400, pp. 121–132.

    Article  Google Scholar 

  33. Zhang, Q., Singh, V.P., Sun, P., Chen, X., Zhang, Z.X., and Li, J.F., Precipitation and streamflow changes in China: Changing patterns, causes and implications, J. Hydrol., 2011, vol. 410, pp. 204–216.

    Article  Google Scholar 

  34. Zhang, Q., Xu, C.Y., and Yang, T., Scaling properties of the runoff variations in the arid and semi-arid regions of China: A case study of the Yellow River basin, Stoch. Env. Res. Risk. A, 2009, vol. 23, pp. 1103–1111.

    Article  Google Scholar 

  35. Zhang, Q., Zhou, Y., and Singh, V.P., Detrending methods for fluctuation analysis in hydrology: Amendments and comparisons of methodologies, Hydrol. Process., 2014, vol. 28, pp. 753–763.

    Article  Google Scholar 

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Correspondence to Xuehua Zhao.

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Zhao, X., Chen, X. & Huang, Q. Trend and long-range correlation characteristics analysis of runoff in upper Fenhe River basin. Water Resour 44, 31–42 (2017). https://doi.org/10.1134/S0097807817010201

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