Correlation-aided method for identification and gradation of periodicities in hydrologic time series

Akaike H (1970) Statistical predictor identification. Ann Inst Stat Math 22:203–217 Akaike H (1974) A new look at statistical model identification. IEEE Trans Autom Control 19:716–723 Bartlett MS (1950) Periodogram analysis and continuous spectra. Biometrika 37:1–16 Bordi I, Fraedrich K, Jiang JM, Sutera A (2004) Spatio-temporal variability of dry and wet periods in eastern China. Theor Appl Climatol 79:81–91 Burg J (1975) Maximum entropy spectral analysis. Dissertation, Stanford University Cao H, Ellis BR, Littler JD (1997) The use of the maximum entropy method for the spectral analysis of wind-induced data recorded on buildings. J Wind Eng Ind Aerodyn 72:81–93 Chen Y, Wang S, Wang G, Wang W (2010) Runoff variation characteristics analysis on Jinsha River. Plateau Mt Meteorol Res 30:27–30 Chen K, Wang B, Xin M (2018) Impact of climate change and human activities on runoff variation of Yangtze River into sea. Yangtze River 49:36–40 Cooley JW, Tukey JW (1965) An algorithm for the machine calculation of complex Fourier series. Math Comput 19:297–301 Coulibaly P, Baldwin CK (2005) Nonstationary hydrological time series forecasting using nonlinear dynamic methods. J Hydrol 307:164–174 Dai M, Zhang M (2013) Research on temporal and spatial distribution law of runoff in Yangtze River basin. Yangtze River 44:88–91 Ghil M, Taricco C (1997) Advanced spectral analysis methods. In: Castagnoli GC, Provenzale A (eds) Past and present variability of the solar-terrestrial system: measurement data analysis and theoretical models. Proceedings of the international school of physics "Enrico Fermi". Societá Italiana di Fisica/IOS Press, Bologna, pp 137–159 Hao Y et al (2016) How does the anthropogenic activity affect the spring discharge? J Hydrol 540:1053–1065 Huang N, Wu Z (2008) A review on Hilbert–Hung transform method and its applications to geophysical studies. Rev Geophys 46:RG2006 Huang NE et al (1998) The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis. In: Proceedings of the Royal Society A: mathematical, physical, and engineering sciences, vol 454. Royal Society, London, pp 903–995 Jaynes ET (1982) On the rationale of maximum-entropy methods. Proc IEEE 70:939–952 Kay SM (1988) Modern spectral estimation: theory and application. Prentice Hall, Englewood Cliffs, p 543 Kottegoda NT (1980) Stochastic water resources technology. Springer Lei J (2014) Evolution trend and countermeasures of water resources in the Yangtze River basin under the influence of human activities. Yangtze River 45(7):7–10 Liu J, Zhang Q, Xu C and Zhang Z (2009) Characteristics of runoff variation of Poyang Lake watershed in the past 50 years. Trop Geogr 29:213–218, 224 Machiwal D, Jha MK (2012) Structure of time series. Hydrologic time series analysis. Springer Mao H, Chen G, Yang Q, Zhou C (2014) Comparative analysis on the application of precipitation anomaly percentage and Z index in Wujiang River Basin. In: The 31st annual meeting of Chinese Meteorological Society, Beijing, pp1–11 McCuen RH (2003) Modeling hydrologic change: statistical methods. CRC Press, Boca Raton Mehdizadeh S, Behmanesh J, Khalili K (2017) A comparison of monthly precipitation point estimates at 6 locations in Iran using integration of soft computing methods and GARCH time series model. J Hydrol 554:721–742 Nigmatullin RR, Khamzin AA, Tenreiro Machado J (2014) Detection of quasi-periodic processes in complex systems: how do we quantitatively describe their properties? Phys Scr 89:15201 Nuttle WK (1997) Measurement of wetland hydroperiod using harmonic analysis. Wetlands 17:82–89 Padmanabhan G, Rao AR (1988) Maximum entropy spectral analysis of hydrologic data. Water Resour Res 24:1519–1533 Peres DJ, Cancelliere A (2016) Estimating return period of landslide triggering by Monte Carlo simulation. J Hydrol 541:256–271 Rao AR, Jeong GD, Chang F (1992) Estimation of periodicities in hydrologic data. Stoch Hydrol Hydraul 6:270–288 Rios RA, de Mello RF (2013) Improving time series modeling by decomposing and analyzing stochastic and deterministic influences. Signal Process 93:3001–3013 Sakamoto Y, Kitagawa G (1987) Akaike information criterion statistics. Kluwer Academic Publishers Salas JD (1993) Analysis and modeling of hydrologic time series. In: Maidment DR (ed) Handbook of hydrology. McGraw-Hill, New York Sang Y, Wang D, Wu J, Zhu Q, Wang L (2009) The relation between periods’ identification and noises in hydrologic series data. J Hydrol 368:165–177 Sang Y, Wang Z, Liu C (2012) Period identification in hydrologic time series using empirical mode decomposition and maximum entropy spectral analysis. J Hydrol 424:154–164 Sang Y, Xie P, Gu H, Li X (2017) Discussion on several major issues in the studies of hydrological. Chin Sci Bull 62:254–261 Schuster A (1898) On the investigation of hidden periodicities with application to a supposed 26 day period of meteorological phenomena. J Geophys Res 3:13–41 Shu W, Li Q, Wang H, Wang X (2016) Impact analysis of climatic changes and human activities on characteristics of inflow runoff of three gorges reservoir. Water Power 42:29–33 Siegel AF (1980) Testing for periodicity in a time series. J Am Stat Assoc 370:345–348 Singh VP (1998) Pearson type III distribution. Entropy-based parameter estimation in hydrology. Springer, Dordrecht Steele TD (1982) A characterization of stream temperatures in Pakistan using harmonic analysis. Hydrol Sci J 27:451–467 Stojkovic M, Kostić S, Plavšić J, Prohaska S (2017) A joint stochastic-deterministic approach for long-term and short-term modelling of monthly flow rates. J Hydrol 544:555–566 Stosic T, Telesca L, Vicente DSFD, Stosic B (2016) Investigating anthropically induced effects in streamflow dynamics by using permutation entropy and statistical complexity analysis: a case study. J Hydrol 540:1136–1145 Sun J, Lei X, Jiang Y, Wang H (2012) Variation trend analysis of meteorological variables and runoff in upper reaches of Yangtze River. Water Resour Power 30:1–4 Tamura Y, Sato T, Ooe M, Ishiguro M (1991) A procedure for tidal analysis with a Bayesian information criterion. Geophys J Int 104:507–516 Thomson DJ (1982) Spectrum estimation and harmonic analysis. Proc IEEE 70:1055–1096 Tian Q (2016) Impacts of climate change and human activity on water and sediment flux of the Yellow, Yangtze and Pearl River basins over the past 60 years. Dissertation, East China Normal University Troch PA, Carrillo G, Sivapalan M, Wagener T (2013) Climate–vegetation–soil interactions and long-term hydrologic partitioning: signatures of catchment co-evolution. Hydrol Earth Syst Sci 17:2209–2217 Wang S (2009) Changing pattern of the temperature, precipitation and runoff in Chuanjiang section of the Yangtze River. Resour Sci 31:1142–1149 Wang P, He S (2004) The basic character on the process runoff and sediment discharge at Datong station of Yangtze River. J East China Normal Univ (Nat Sci) 2:72–80 Wang Q, Me Z (1990) Discussions on some key problems in power spectra analysis. Acta Geogr Sin 45:363–372 Welch PD (1967) The use of Fast Fourier transform for the estimation of power spectra: a method based on time averaging over short, modified periodograms. IEEE Trans Audio Electroacoust 15:70–73 Wu X et al (2016) Variability of annual peak flows in the Beijiang River basin, South China, and possible underlying causes. Hydrol Res. https://doi.org/10.2166/nh.2016.228 Wu Z et al (2019) Moving correlation coefficient-based method for jump points detection in hydroclimate time series. Stoch Environ Res Risk Assess 33:1751–1764 Xie P et al (2018) Evaluation of the significance of abrupt changes in precipitation and runoff process in China. J Hydrol 560:451–460 Xiong Y, Zhang K, Yang G, Gu Z (2010) Periodic changes of the precipitation and runoff in Wu River watershed. J Sichuan Agric Univ 28:475–479 Yang H (2015) Research of hydrological time series cycle analysis method. China Water Power Electrif 5:63–66 Yang S, Liu Z, Dai S et al (2010) Temporal variations in water resources in the Yangtze River (Changjiang) over the Industrial Period based on reconstruction of missing monthly discharges. Water Resour Res 46(10):W10516.1-W10516.13 Yang L, Mei Y, Ye Y, Lin Y (2016) Temporal analysis of hydrological and meteorological factors in downstream of Jinsha River and three Gorges reach of Yangtze River. Hydrology 36:37–45 Ye X, Zhang Q, Liu J, Xu L (2012) Natural runoff change characteristics and flood/drought disasters in Poyang Lake catchment basin. J Nat Disasters 21:140–147 Yuan J, Chen Y, Gu S, Xu G (2016) Cycle identification of annual runoff time series based on Holt-Winters method. Water Resour Power 34:28–31 Zhang X (2014) Climate change and anthropogenic impacts on water discharge in the Yangtze River over the nearly 60 years. Dissertation, East China Normal University Zhang X, Yang S (2014) Climatic and anthropogenic impacts on water discharge in the Yangtze River over the last 56 years (1956–2011). Resour Environ Yangtze Basin 23:1729–1739 Zhou W, Sornette D (2011) Statistical significance of periodicity and log-periodicity with heavy-tailed correlated noise. Int J Mod Phys C 13:137–169 Zhou N, Yang S, Shen X, Liu X (2014) Mutation and multi-scale characteristics analysis of rainfall series in Dongting Lake watershed. J Tongji Univ (Nat Sci) 42:867–872