Chinese Geographical Science

, Volume 19, Issue 2, pp 158–167 | Cite as

Multiple time scale analysis of river runoff using wavelet transform for Dagujia River Basin, Yantai, China

  • Delin Liu
  • Xianzhao Liu
  • Bicheng Li
  • Shiwei Zhao
  • Xiguo Li


Based on monthly river runoff and meteorological data, a method of Morlet wavelet transform was used to analyze the multiple time scale characteristics of river runoff in the Dagujia River Basin, Yantai City, Shandong Province. The results showed that the total annual river runoff in the Dagujia River Basin decreased significantly from 1966 to 2004, and the rate of decrease was 48×106m3/10yr, which was higher than the mean value of most rivers in China. Multiple time scale characteristics existed, which accounted for different aspects of the changes in annual river runoff, and the major periods of the runoff time series were identified as about 28 years, 14 years and 4 years with decreasing levels of fluctuation. The river runoff evolution process was controlled by changes in precipitation to a certain extent, but it was also greatly influenced by human activities. Also, for different time periods and scales, the impacts of climate changes and human activities on annual river runoff evolution occurred at the same time. Changes in the annual river runoff were mainly associated with climate change before the 1980s and with human activities after 1981.


multiple time scale river runoff climate change Morlet wavelet transform Dagujia River 


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  1. Akay M, 1997. Wavelet applications in medicine. IEEE Spectrum, 34(5): 50–56.CrossRefGoogle Scholar
  2. Antonini M, Barlaud M, Mathieu P et al., 1992. Image coding using wavelet transform. IEEE Transactions on Image Processing, 1(2): 205–220. DOI: 10.1109/83.136597.CrossRefGoogle Scholar
  3. Davis A, Marshak A, Wiscombe W et al., 1994. Multifractal characterizations of non-stationarity and intermittency in geophysical fields, observed, retrieved or simulated. Journal of Geophysical Research-Atmospheres, 99(D4): 8055–8072.CrossRefGoogle Scholar
  4. Farge M, 1992. Wavelet transforms and their applications to turbulence. Annual Review of Fluid Mechanics, 24: 395–457.CrossRefGoogle Scholar
  5. Hurst H E, 1951. Transact. Am. Soc. Civil Eng, 116: 770–799.Google Scholar
  6. Jiang Yan, Zhou Chenghu, Cheng Weiming, 2005. Analysis on river runoff supply and variation characteristics of Aksu drainage basin. Journal of Natural Resources, 20(1): 27–34. (in Chinese)Google Scholar
  7. Jury M R, Melice J L, 2000. Analysis of Durban rainfall and Nile river flow 1871–1999. Theoretical and Applied Climatology, 67(3–4): 161–169. DOI: 10.1029/2000JC000507.CrossRefGoogle Scholar
  8. Kantelhardt J W, Rybski D, Zschiegner S A et al., 2003. Multifractality of river runoff and precipitation: comparison of fluctuation analysis and wavelet methods. Physica A: Statistical Mechanics and Its Applications, 330(1–2): 240–245. DOI: 10.1016/ ysa.2003.08.019.CrossRefGoogle Scholar
  9. Kumar P, Foufoula-Georgiou E, 1993. A multicomponent decomposition of spatial rainfall fields.1.Segregation of large and small scale features using wavelet transform. Water Resources Research, 29(8): 2515–2532.CrossRefGoogle Scholar
  10. Labat D, Ababou R, Mangin A, 2000. Rainfall-runoff relations for karstic springs. Part II: continuous wavelet and discrete orthogonal multiresolution. Journal of Hydrology, 238(3–4): 149–178.CrossRefGoogle Scholar
  11. Lettenmaier D P, Wood E F, Wallis J R, 1994. Hydro-climatological trends in the continental United-States, 1948–88. Journal of Climate, 7(4): 586–607.CrossRefGoogle Scholar
  12. Liu Delin, Liu Xianzhao, Li Jiazhu et al., 2007. A quantification study on distributions characteristics of inter yearly river runoff of the representative drainage basin in Jiaodong massif area. Journal of Mountain Science, 25(3): 295–301. (in Chinese)Google Scholar
  13. Liu Delin, Liu Xianzhao, Li Xiguo et al., 2006. Analysis of runoff decreasing trend and driving force for the typical basin of hilly-area in Jiaodong peninsula. Journal of China Hydrology, 26(5): 61–64. (in Chinese)Google Scholar
  14. Luo Xianxiang, Deng Wei, He Yan et al., 2002. Driving Forces of Changes for Marshy Rivers in Sanjiang Plan. Acta Geographica Sinica, 57(5): 603–610. (in Chinese)Google Scholar
  15. Meyers S D, Kelly B G, Obrien J J, 1993. An introduction to wavelet analysis in oceanography and meteorology-with application to the dispersion of Yanai waves. Monthly Weather Review, 121(10): 2858–2866.CrossRefGoogle Scholar
  16. Meyers S D, Obrien J J, 1994. Spatial and temporal 26-day SST variations in the equatorial Indian Ocean using wavelet analysis. Geophysical Research Letters, 21(9): 777–780.CrossRefGoogle Scholar
  17. Morlet J, 1983. SamplingTtheory and Wave Propagation. NATO ASI Series, FI. Berlin, Heidelberg, New York: Springer, 233–261.Google Scholar
  18. Rioul O M, Vetterli, 1991. Wavelet and signal processing. IEEE Signal Processing Magazine, 8: 14–38.CrossRefGoogle Scholar
  19. Saco P, Kumar P, 2000. Coherent modes in multiscale variability of streamflow over the United States. Water Resources Research, 36(4): 1049–1067.CrossRefGoogle Scholar
  20. Singh P, Kumar N, 1997. Impact assessment of climate change on the hydrological response of a snow and glacier melt runoff dominated Himalayan River. Journal of Hydrology, 193(1–4): 316–350. DOI: 10.1016/S0022-1694(96)03142-3.CrossRefGoogle Scholar
  21. Smith L C, Turcotte D, Isacks B L, 1998. Stream flow characterization and feature detection using a discrete wavelet transform. Hydrological Processes, 12(2): 233–249.CrossRefGoogle Scholar
  22. Torrence C, Compo G P, 1998. A practical guide to wavelet analysis. Bulletin of the American Meteorological Society, 79(1): 61–78.CrossRefGoogle Scholar
  23. Torrence C, Webster P J, 1999. Interdecadal changes in the ENSO-monsoon system. Journal of Climate, 12(8): 2679–2690.CrossRefGoogle Scholar
  24. Villasenor J D, Belzer B, Liao J, 1995. Wavelet filter evaluation for image compression. IEEE Transactions on Image Processing, 4(8): 1053–1060.CrossRefGoogle Scholar
  25. Xu Jianhua, Chen yaning, Li Weihong et al, 2008. Long-term Trend and Fractal of Annual Runoff Process in Mainstream of Tarim River. Chinese Geographical Science, 18(1): 77–84. DOI: 10.1007/s11769-008-0077-6.CrossRefGoogle Scholar

Copyright information

© Science Press, Northeast Institute of Geography and Agricultural Ecology, CAS and Springer-Verlag GmbH 2009

Authors and Affiliations

  • Delin Liu
    • 1
    • 4
  • Xianzhao Liu
    • 2
  • Bicheng Li
    • 1
  • Shiwei Zhao
    • 1
  • Xiguo Li
    • 3
  1. 1.Research Center of Soil and Water Conservation and Ecological Environment, Chinese Academy of Sciences and Ministry of EducationNorthwest Sci-Tech University of Agriculture and ForestryYanglingChina
  2. 2.College of Geography and Resource ManagementLudong UniversityYantaiChina
  3. 3.Yantai Hydrology and Water Resource Survey OfficeYantaiChina
  4. 4.Graduate University of the Chinese Academy of SciencesBeijingChina

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