Discrete wavelet-based trend identification in hydrologic time series

Hydrological Processes

Volumn 27, Issue 14, 2013, Pages 2021-2031

  Sang, Yan Fang ^a,b   Wang, Zhonggen ^a,b   Liu, Changming ^a,b  

^a INSTITUTE OF GEOGRAPHIC SCIENCES AND NATURAL RESOURCES RESEARCH   (China)

^b INSTITUTE OF GEOLOGY AND GEOPHYSICS   (China)

Author keywords

Mann Kendall test; Periodicity; Statistical significance; Time series analysis; Trend identification; Wavelet

Indexed keywords

DECOMPOSITION LEVEL; DETERMINISTIC COMPONENT; HYDROLOGIC TIME SERIES; MANN-KENDALL TEST; PERIODICITY; STATISTICAL SIGNIFICANCE; WAVELET; WAVELET-BASED METHODS;

STREAM FLOW; TIME SERIES ANALYSIS;

WAVELET DECOMPOSITION;

DISCRETE ELEMENT METHOD; HYDROLOGICAL MODELING; PERIODICITY; TIME SERIES; TREND ANALYSIS; WAVELET ANALYSIS;

EID: 84879887179     PISSN: 08856087     EISSN: 10991085     Source Type: Journal    
DOI: 10.1002/hyp.9356     Document Type: Article

References (40)

1. Adam JC, Lettenmaier DP. 2008. Application of new precipitation and reconstructed streamflow products to streamflow trend attribution in northern Eurasia. Journal of Climate 21: 1807-1828.
2. Adamowski K, Prokoph A, Adamowski J. 2009. Development of a new method of wavelet aided trend detection and estimation. Hydrological Processes 23: 2686-2696.
3. Almasri A, Locking H, Shukar G. 2008. Testing for climate warming in Sweden during 1850-1999 using wavelet analysis. Journal of Applied Statistics 35: 431-443.
4. Craigmile PF, Guttorp P, Percival DB. 2004. Trend assessment in a long memory dependence model using the discrete wavelet transform. Environmentrics 15: 313-335.
5. de Artigas M, Elias A, de Campra P. 2006. Discrete wavelet analysis to assess long-term trends in geomagnetic activity. Physics and Chemistry of the Earth 31: 77-80.
6. Ding J, Deng YR. 1988. Stochastic Hydrology. The Publisher of the Science and Technology University of Chengdu: Chengdu, China (in Chinese).
7. Donoho DH. 1995. De-noising by soft-thresholding. IEEE Transactions on Information Theory 41: 613-617.
8. Flandrin P, Goncalves P, Rilling G. 2005. In Hilbert-Huang Transform: Introduction and Applications, Huang NE, Shen SS-P (eds). World Scientific: Teaneck, NJ; 57-74.
9. Gao G, Chen DL, Xu CY, Simelton E. 2007. Trend of estimated actual evapotranspiration over China during 1960-2002. Journal of Geophysical Research-Atmospheres 112: D11120.
10. Hamed KH. 2008. Trend detection in hydrologic data: The Mann-Kendall trend test under the scaling hypothesis. Journal of Hydrology 349: 350-363.
11. Hamed KH. 2009. Enhancing the effectiveness of prewhitening in trend analysis of hydrologic data. Journal of Hydrology 368: 143-155.
12. Jung HY, Choi Y, Oh JH, Lim GH. 2002. Recent trends in temperature and precipitation over South Korea. International Journal of Climatology 22: 1327-1337.
13. Kahya E, Kalayci S. 2004. Trend analysis of streamflow in Turkey. Journal of Hydrology 289: 128-144.
14. Kallache M, Rust HW, Kropp J. 2005. Trend assessment: applications for hydrology and climate research. Nonlinear Processes in Geophysics 12: 2001-2210.
15. Kendall M. 1975. Rank Correlation Methods. Charles Griffin: London.
16. Khaliq MN, Ouarda TBMJ, Gachon P, Sushama L, St-Hilaire A. 2009. Identification of hydrological trends in the presence of serial and cross correlations: A review of selected methods and their application to annual flow regimes of Canadian rivers. Journal of Hydrology 368: 117-130.
17. Kuczera G. 1992. Uncorrelated measurement error in flood frequency inference. Water Resources Research 28: 183-188.
18. Kundzewicz ZW, Graczyk D, Maurer T, Pinskwar I, Radziejewski M, Svensson C, Szwed M. 2005. Trend detection in river flow series: 1. Annual maximum flow. Hydrological Sciences Journal-Journal Des Sciences Hydrologiques 50: 797-810.
19. Labat D. 2005. Recent advances in wavelet analyses: Part 1. A review of concepts. Journal of Hydrology 314: 275-288.
20. Macdonald RW, Harner T, Fyfe J. 2005. Recent climate change in the Arctic and its impact on contaminant pathways and interpretation of temporal trend data. Science of the Total Environment 342: 5-86.
21. Mann H. 1945. Non-parametric tests against trend. Econometrica 13: 245-259.
22. Partal T, Kucuk M. 2006. Long term trend analysis using discrete wavelet components of annual precipitation measurements in Marmara region (Turkey). Physics and Chemistry of the Earth 31: 1189-1200.
23. Percival DB, Walden AT. 2000. Wavelet Methods for Time Series Analysis. Cambridge University Press: Cambridge, UK.
24. Pisoft P, Kalvova J, Brazdil R. 2004. Cycles and trends in the Czech temperatures series using wavelet transform. International Journal of Climatology 24: 1661-1670.
25. Rivard C, Vigneault H. 2009. Trend detection in hydrological series: when series are negatively correlated. Hydrological Processes 23: 2737-2743.
26. Sang YF, Wang D, Wu JC, Zhu QP, Wang L. 2009a. Entropy-based wavelet de-noising method for time series analysis. Entropy 11: 1123-1147.
27. Sang YF, Wang D, Wu JC, Zhu QP, Wang L. 2009b. The relation between periods' identification and noises in hydrologic series data. Journal of Hydrology 368: 165-177.
28. Sang YF, Wang D, Wu JC. 2010. Entropy-Based Method of Choosing the Decomposition Level in Wavelet Threshold De-noising. Entropy 12: 1499-1513.
29. Sang YF, Wang D, Wu JC. 2011. Comparison of the Wavelet Characters of Various Noises by Discrete Wavelet Transform. Hydrological Cycle and Water Resources Sustainability in Changing Environments. IAHS Publication 350: 622-626.
30. Sang YF, Wang Z, Liu C. 2012. Period identification in hydrologic time series using empirical mode decomposition and maximum entropy spectral analysis. Journal of Hydrology 424: 154-164.
31. Schreiber T. 1993. Extremely simple nonlinear noise-reduction method. Physics Review E47: 2401-2404.
32. Shao QX, Li M. 2011. A new trend analysis for seasonal time series with consideration of data dependence. Journal of Hydrology 396: 104-112.
33. Stock JH, Watson MW. 1988. Variable trends in economic time-series. Journal of Economic Perspectives 2: 147-174.
34. Taleb EH, Druyan LM. 2003. Relationship between rainfall and West African wave disturbances in station observation. International Journal of Climatology 23: 305-313.
35. Torrence C, Compo GP. 1998. A practical guide to wavelet analysis. Bulletin of the American Meteorological Society 79: 61-78.
36. Wu ZH, Huang NE, Long SR, Peng CK. 2007. On the trend, detrending, and variability of nonlinear and nonstationary time series. Proceedings of the National Academy of Sciences 104: 14889-14894.
37. Xu ZX, Li JY, Liu CM. 2007. Long-term trend analysis for major climate variables in the Yellow River basin. Hydrological Processes 21: 1935-1948.
38. Yevjevich V. 1972. Stochastic Process in Hydrology. Water Resources Publications: Colorado, USA.
39. Yevjevich V. 1987. Stochastic models in hydrology. Stochastic Hydrology and Hydraulics 1: 17-36.
40. Yue S, Pilon P, Phinney B, Cavadias G. 2002. The influence of autocorrelation on the ability to detect trend in hydrological series. Hydrological Processes 16: 1807-1829.