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Journal of Environmental Accounting and Management
António Mendes Lopes (editor), Jiazhong Zhang(editor)
António Mendes Lopes (editor)

University of Porto, Portugal


Jiazhong Zhang (editor)

School of Energy and Power Engineering, Xi'an Jiaotong University, Xi'an, Shaanxi Province 710049, China

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Multiscale Entropy Analysis of Health-related Stream Flow Complexity Under Different Human Impacts

Journal of Environmental Accounting and Management 1(3) (2013) 269--281 | DOI:10.5890/JEAM.2013.08.005

Pan Yang; Xinan Yin; Jian Tang

State Key Laboratory of Water Environment Simulation, School of Environment, Beijing Normal University, 100875, Beijing, China

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Multiscale entropy (MSE) can effectively measure the streamflow complexity for river health analysis, but the effects of different kinds of human activities on streamflow complexity are still in con- troversy. In response to this question, this study applies the MSE analysis on river flow of three hydrological stations (Huayuankou, Gaocun and Lijin) in the lower Yellow River and the average pre-cipitation and evaporation of 62 meteorological stations across the Yellow River basin. The results indicate that: 1) water consumption could lead to the decrease of streamflow complexity in lower Yel- low River; 2) construction and operation of reservoirs could in-crease the streamflow complexity downstream, and possible expla-nation is the water storage enhanced long range correlation of res- ervoirs; and 3) the intensity of complexity alteration caused by reservoirs is related to both its capacity and position, larger reservoir in upstream has greater impact on streamflow complexity. This study also suggests MSE to be a useful tool in hydrological study and river ecosystem protection in Yellow River.


We thank the Fund for Creative Research Groups of the National Natural Science Foundation of China( No. 51121003), the International Science & Technology Cooperation Program of China (No.2011DFA72420), the National Basic Research Program of China (No. 2010CB951104) and the Fundamental Research Funds for the Central Universities (No. 2012LYB09) for their financial support. We also thank Prof. Peng CK from Harvard Medical School for the advice on multiscale entropy analysis.


  1. [1]  Petts, G.E. (1979), Complex response of river channel morphology subsequent to reservoir construction, Progress in Physical Geography, 3(3), 329-362.
  2. [2]  Bunn, S.E. and Arthington, A.H. (2002), Basic principles and ecological consequences of altered flow regimes for aquatic biodiversity, Environmental Management, 30(4), 492-507.
  3. [3]  Choi, S.U., Yoon, B. and Woo, H. (2005), Effects of dam-induced flow regime change on downstream river morphology and vegetation cover in the Hwang River, Korea, River Research and Applications, 21(2-3), 315-325.
  4. [4]  Nilsson, C. and Renäfält, B. M. (2008), Linking flow regime and water quality in rivers: A challenge to adaptive catchment management, Ecology and Society, 13(2), 18.
  5. [5]  Poff, N.L. and Zimmerman, J.K. (2009), Ecological responses to altered flow regimes: A literature review to inform the science and management of environmental flows, Freshwater Biology, 55(1), 194-205.
  6. [6]  Postel, S.L., Daily, G.C. and Ehrlich, P.R. (1996), Human appropriation of renewable fresh water, Science-AAAS-Weekly Paper Edition, 271(5250), 785-787.
  7. [7]  Petts, G.E. (1984), Impounded Rivers: Perspectives for Ecological Management, Environmental Monographs and Symposia Series, Chichester: John Wiley and Sons.
  8. [8]  Poff, N.L., Allan, J.D., Bain, M.B., Karr, J.R., Prestegaard, K.L., Richter, B.D., Sparks, R.E. and Stromberg, J.C. (1997), The natural flow regime, Bioscience, 47(11), 769-784.
  9. [9]  Patten, D.T. (1998), Riparian ecosystems of semi-arid North America: Diversity and human impacts, Wetlands, 18(4), 498-512.
  10. [10]  Zhang, J. and D?ll, P. (2008), Assessment of ecologically relevant hydrological change in China due to water use and reservoirs, Advances in Geosciences, 18, 25-30.
  11. [11]  Vörösmarty, C.J., McIntyre, P., Gessner, M.O., Dudgeon, D., Prusevich, A., Green, P., Glidden, S., Bunn, S.E., Sullivan, C.A. and Liermann, C.R. (2010), Global threats to human water security and river biodiversity, Nature, 467(7315), 555- 561.
  12. [12]  Costa, M., Goldberger, A.L. and Peng, C.K. (2002), Multiscale entropy analysis of complex physiologic time series, Physical Review Letters, 89(6).
  13. [13]  Costa, M., Goldberger, A.L. and Peng, C.K. (2005), Multiscale entropy analysis of biological signals, Physical Review E, 71(2).
  14. [14]  Domenico, P.A. (1972), Concepts and Models in Groundwater Hydrology, New York: McGraw-Hill.
  15. [15]  Ozkul, S., Harmancioglu, N.B. and Singh, V.P. (2000), Entropy-based assessment of water quality monitoring networks, Journal of Hydrologic Engineering, 5(1), 90-100.
  16. [16]  Mays, D.C., Faybishenko, B.A. and Finsterle, S. (2002), Information entropy to measure temporal and spatial complexity of unsaturated flow in heterogeneous media, Water Resources Research, 38(12), 1313.
  17. [17]  Huang, F., Xia, Z., Zhang, N., Zhang, Y. and Li, J. (2011), Flow-complexity analysis of the upper reaches of the Yangtze River, China, Journal of Hydrologic Engineering, 16(11), 914-919.
  18. [18]  Li, Z.W. and Zhang, Y.K. (2008), Multi-scale entropy analysis of mississippi river flow, Stochastic Environmental Research and Risk Assessment, 22(4), 507-512.
  19. [19]  Zhang, Q., Zhou, Y., Singh, V.P. and Chen, X. (2012), The influence of dam and lakes on the Yangtze River streamflow: long-range correlation and complexity analyses, Hydrological Processes, 26(3), 436-444.
  20. [20]  Zhou, Y., Zhang, Q., Li, K. and Chen, X. (2012), Hydrological effects of water reservoirs on hydrological processes in the East River (China) basin: Complexity evaluations based on the multi-scale entropy analysis, Hydrological Processes, 26(21), 3253-3262.
  21. [21]  Zhang, X., Wang, L. and Si, F. (2001), Prediction of water consumption in the Huanghe river basin, Water Resources and Hydropower Technology, 6, 8-13. (in Chinese)
  22. [22]  Wang, H., Yang, Z., Saito, Y., Liu, J.P. and Sun, X. (2006), Interannual and seasonal variation of the Huanghe (Yellow River) water discharge over the past 50 years: Connections to impacts from ENSO events and dams, Global and Planetary Change, 50(3-4), 212-225.
  23. [23]  Fan, H., Huang, H. and Zeng, T. (2006), Impacts of anthropogenic activity on the recent evolution of the Huanghe (Yellow) River Delta, Journal of Coastal Research, 22(4), 919-929.
  24. [24]  Wang, H., Yang, Z., Saito, Y., Liu, J.P., Sun, X. and Wang, Y. (2007), Stepwise decreases of the Huanghe (Yellow River) sediment load (1950-2005): Impacts of climate change and human activities, Global and Planetary Change, 57(3-4), 331- 354.
  25. [25]  Liu, Q. and Yang, Z. (2010), Quantitative estimation of the impact of climate change on actual evapotranspiration in the Yellow River Basin, China, Journal of Hydrology, 395(3), 226-234.
  26. [26]  Wang, J., Hong, Y., Gourley, J., Adhikari, P., Li, L. and Su, F. (2010), Quantitative assessment of climate change and human impacts on long-term hydrologic response: A case study in a sub-basin of the Yellow River, China, International Journal of Climatology, 30(14), 2130-2137.
  27. [27]  Hu, Y., Maskey, S. and Uhlenbrook, S. (2012), Trends in temperature and rainfall extremes in the Yellow River source region, China, Climatic Change, 110(1), 403-429.
  28. [28]  Grassberger, P. and Procaccia, I. (1983), Estimation of the Kolmogorov entropy from a chaotic signal, Physical Review A, 28(4), 2591-2593.
  29. [29]  Eckmann, J.P. and Ruelle, D. (1985), Ergodic theory of chaos and strange attractors, Reviews of Modern Physics, 57(3), 617.
  30. [30]  Pincus, S.M. (1991), Approximate entropy as a measure of system complexity, Proceedings of the National Academy of Sciences, 88(6), 2297-2301.
  31. [31]  Richman, J.S. and Moorman, J.R. (2000), Physiological time-series analysis using approximate entropy and sample entropy, American Journal of Physiology - Heart and Circulatory Physiology, 278(6), H2039-H2049.
  32. [32]  Hurst, H. (1957), A suggested statistical model of some time series which occur in nature, Nature, 180, 494.
  33. [33]  Kantelhardt, J.W., Koscielny-Bunde, E., Rybski, D., Braun, P., Bunde, A. and Havlin, S. (2006), Long-term persistence and multifractality of precipitation and river runoff records, Journal of Geophysical Research: Atmospheres, 111(D1), D01106.
  34. [34]  Koscielny-Bunde, E., Kantelhardt, J.W., Braun, P., Bunde, A. and Havlin, S. (2006), Long-term persistence and multifractality of river runoff records: Detrended fluctuation studies, Journal of Hydrology, 322(1-4), 120-137.
  35. [35]  Wang, G., Jiang, T., Blender, R. and Fraedrich, K. (2008), Yangtze 1/f discharge variability and the interacting river-lake system, Journal of Hydrology, 351(1-2), 230-237.
  36. [36]  Zhang, Q., Xu, C.Y. and Yang, T. (2009), Scaling properties of the runoff variations in the arid and semi-arid regions of China: a case study of the Yellow River basin, Stochastic Environmental Research and Risk Assessment, 23(8), 1103-1111.
  37. [37]  Eichner, J.F., Koscielny-Bunde, E., Bunde, A., Havlin, S. and Schellnhuber, H.J. (2003), Power-law persistence and trends in the atmosphere: A detailed study of long temperature records, Physical Review E, 68(4), 46-133.
  38. [38]  Chen, Y., Zhang, Q., Chen, X. and Wang, P. (2012), Multiscale variability of streamflow changes in the Pearl River basin, China, Stochastic Environmental Research and Risk Assessment, 26(2), 235-246.