
Trend detection and stochastic simulation prediction of streamflow at Yingluoxia hydrological station, Heihe River Basin, China
Chenglong ZHANG, Mo LI, Ping GUO
Trend detection and stochastic simulation prediction of streamflow at Yingluoxia hydrological station, Heihe River Basin, China
Investigating long-term variation and prediction of streamflow are critical to regional water resource management and planning. Under the continuous influence of climate change and human activity, the trends of hydrologic time series are nonstationary, and consequently the established methods for hydrological frequency analysis are no longer applicable. Five methods, including the linear regression, nonlinear regression, change point analysis, wavelet analysis and Hilbert-Huang transformation, were first selected to detect and identify the deterministic and stochastic components of streamflow. The results indicated there was a significant long-term increasing trend. To test the applicability of these five methods, a comprehensive weighted index was then used to assess their performance. This index showed that the linear regression was the best method. Secondly, using the normality test for stochastic components separated by the linear regression method, a normal distribution requirement was satisfied. Next, the Monte Carlo stochastic simulation technique was used to simulate these stochastic components with normal distribution, and thus a new ensemble hydrological time series was obtained by combining the corresponding deterministic components. Finally, according to these outcomes, the streamflow at different frequencies in 2020 was predicted.
Monte Carlo / nonstationary / trend detection / streamflow prediction / decomposition and ensemble / Yingluoxia
[1] |
Seyam M, Othman F. Long-term variation analysis of a tropical river’s annual streamflow regime over a 50-year period. Theoretical and Applied Climatology, 2014, 121(1–2): 1–15
|
[2] |
Ge Y C, Li X, Huang C L, Nan Z T. A decision support system for irrigation water allocation along the middle reaches of the Heihe River Basin, Northwest China. Environmental Modelling & Software, 2013, 47(47): 182–192
CrossRef
Google scholar
|
[3] |
McCabe G J Jr, Wolock D M. Climate change and the detection of trends in annual runoff. Climate Research, 1997, 8(2): 129–134
CrossRef
Google scholar
|
[4] |
Déry S J, Stahl K, Moore R D, Whitfield P H, Menounos B, Burford J E. Detection of runoff timing changes in pluvial, nival, and glacial rivers of western Canada. Water Resources Research, 2009, 45(4): 546–550
CrossRef
Google scholar
|
[5] |
Douglas E M, Vogel R M, Kroll C N. Trends in floods and low flows in the United States: impact of spatial correlation. Journal of Hydrology, 2000, 240(1–2): 90–105
CrossRef
Google scholar
|
[6] |
Burn D H, Hag Elnur M A. Detection of hydrologic trends and variability. Journal of Hydrology, 2002, 255(1–4): 107–122
CrossRef
Google scholar
|
[7] |
Xu Z X, Takeuchi K, Ishidaira H. Monotonic trend and step changes in Japanese precipitation. Journal of Hydrology, 2003, 279(1–4): 144–150
CrossRef
Google scholar
|
[8] |
Hamed K H. Trend detection in hydrologic data: The Mann–Kendall trend test under the scaling hypothesis. Journal of Hydrology, 2008, 349(3–4): 350–363
CrossRef
Google scholar
|
[9] |
Brillinger D R. Trend analysis: Time series and point process problems. Environmetrics, 1994, 5(1): 1–19
CrossRef
Google scholar
|
[10] |
Zang C F, Liu J G. Trend analysis for the flows of green and blue water in the Heihe River basin, northwestern China. Journal of Hydrology, 2013, 502(8): 27–36
CrossRef
Google scholar
|
[11] |
Henderson B. Exploring between site differences in water quality trends: a functional data analysis approach. Environmetrics, 2006, 17(17): 65–80
CrossRef
Google scholar
|
[12] |
Zhang Q, Xu C Y, Becker S, Jiang T. Sediment and runoff changes in the Yangtze River basin during past 50 years. Journal of Hydrology, 2006, 331(3–4): 511–523
CrossRef
Google scholar
|
[13] |
Xu Z X, Gong T L, Li J Y. Decadal trend of climate in the Tibetan Plateau—regional temperature and precipitation. Hydrological Processes, 2008, 22(16): 3056–3065
CrossRef
Google scholar
|
[14] |
Wang W C, Chau K W, Xu D M, Chen X Y. Improving forecasting accuracy of annual runoff time series using ARIMA based on EEMD decomposition. Water Resources Management, 2015, 29(8): 2655–2675
CrossRef
Google scholar
|
[15] |
Mann H B. Nonparametric test against trend. Econometrica, 1945, 13(3): 245–259
CrossRef
Google scholar
|
[16] |
Mann H B, Whitney D R. On a test of whether one of two random variables is stochastically larger than the other. Annals of Mathematical Statistics, 1947, 18(1): 50–60
CrossRef
Google scholar
|
[17] |
Shao Q X, Li Z L, Xu Z X. Trend detection in hydrological time series by segment regression with application to Shiyang River Basin. Stochastic Environmental Research and Risk Assessment, 2010, 24(2): 221–233
CrossRef
Google scholar
|
[18] |
Li J, Tan S, Wei Z, Chen F, Feng P. A new method of change point detection using variable fuzzy sets under environmental change. Water Resources Management, 2014, 28(14): 5125–5138
CrossRef
Google scholar
|
[19] |
Rahman A, Weinmann P E, Hoang T M T, Laurenson E M. Monte Carlo simulation of flood frequency curves from rainfall. Journal of Hydrology, 2002, 256(3–4): 196–210
CrossRef
Google scholar
|
[20] |
Chen Y, Zhang D, Sun Y, Liu X, Wang N, Savenije H H G. Water demand management: a case study of the Heihe River Basin in China. Physics and Chemistry of the Earth Parts A/B/C, 2005, 30(6–7): 408–419
CrossRef
Google scholar
|
[21] |
Cheng G D, Li X, Zhao W Z, Xu Z M, Feng Q, Xiao S C, Xiao H L. Integrated study of the water–ecosystem–economy in the Heihe River Basin. National Science Review, 2014, 1(3): 413–428
CrossRef
Google scholar
|
[22] |
Helsel D R, Hirsch R M. Statistical methods in water resources. Studies in Environmental Science, 2010, 36(3): 323–324
|
[23] |
Zhang Z X, Dehoff A D, Pody R D, Balay J W. Detection of streamflow change in the Susquehanna River Basin. Water Resources Management, 2010, 24(10): 1947–1964
CrossRef
Google scholar
|
[24] |
Xie P. Study on variation of regional water resources under changing environment. Beijing: Science Press, 2012 (in Chinese)
|
[25] |
Huang N E, Shen Z, Long S R, Wu M C, Shih H H, Zheng Q, Yen N C, Tung C C, Liu H H. The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 1971, 1998(454): 903–995
|
[26] |
Huang S, Chang J, Huang Q, Chen Y. Monthly streamflow prediction using modified EMD-based support vector machine. Journal of Hydrology, 2014, 511: 764–775
CrossRef
Google scholar
|
[27] |
Huang N E, Wu Z H. A review on Hilbert‐Huang transform: Method and its applications to geophysical studies. Reviews of Geophysics, 2008, 46(2): 2008
CrossRef
Google scholar
|
[28] |
Koscielny-Bunde E, Kantelhardt J W, Braun P, Bunde A, Havlin S. Long-term persistence and multifractality of river runoff records: Detrended fluctuation studies. Journal of Hydrology, 2006, 322(1–4): 120–137
CrossRef
Google scholar
|
[29] |
Nash J E, Sutcliffe J V. River flow forecasting through conceptual models part I — A discussion of principles. Journal of Hydrology, 1970, 10(3): 282–290
CrossRef
Google scholar
|
[30] |
Li Z L, Xu Z X, Li J Y, Li Z J. Shift trend and step changes for runoff time series in the Shiyang River basin, northwest China. Hydrological Processes, 2008, 22(23): 4639–4646
CrossRef
Google scholar
|
[31] |
Zhang H, Wang B, Lan T, Shi J, Lu S. Change-point detection and variation assessment of the hydrologic regime of the Wenyu River. Toxicological and Environmental Chemistry, 2015, 98(3): 1–20
|
[32] |
Royston P. Approximating the Shapiro-Wilk W-test for non-normality. Statistics and Computing, 1992, 2(3): 117–119
CrossRef
Google scholar
|
[33] |
Razali N M, Wah Y B. Power comparisons of shapiro-wilk, kolmogorov-smirnov, lilliefors and anderson-darling tests. Journal of Statistical Modeling and Analytics, 2011, 2(1): 21–33
|
[34] |
Guo Z, Zhao W, Lu H, Wang J. Multi-step forecasting for wind speed using a modified EMD-based artificial neural network model. Renewable Energy, 2012, 37(1): 241–249
CrossRef
Google scholar
|
[35] |
Gui Z Y, Zhang C L, Li M, Guo P. Risk analysis methods of the water resources system under uncertainty. Frontiers of Agricultural Science and Engineering, 2015, 2(3): 205–215
CrossRef
Google scholar
|
/
〈 |
|
〉 |