Long-term Trend Analysis of Seasonal Precipitation for Beijing, China

  • 1. Key Laboratory of Water Cycle & Related Land Surface Processes, Institute of Geographic Sciences and Natural Resources Research, CAS, Beijing 100101, China;
    2. Graduate University of Chinese Academy of Sciences, Beijing 100039, China;
    3. State Key Laboratory of Water Resources and Hydropower Engineering Sciences, Wuhan University, Wuhan 430072, China

Received date: 2011-11-05

  Revised date: 2011-12-25

  Online published: 2012-03-30

Supported by

This study was supported by the National Basic Research Program of China (2010CB428406) and External Cooperation Program of the Chinese Academy of Sciences (GJHZ1016).


A comprehensive precipitation trend and periodic analysis at the seasonal scale on a 286- year data series (1724-2009) for Beijing are presented using linear regression, 11-year moving averages, Mann-Kendall test and continuous Morlet wavelet analysis. We found that in the past 300 years precipitation has increased except during winter. There were strong increasing trends after the 1780s in both summer and annual precipitation data series and the trend was significant for a longterm period. The abrupt points of summer and annual data series of precipitation are 1764 and 1768 respectively, after that, the trend changed from decreasing to increasing. It shows different periodic traits in four seasons respectively: 30–170 years, 80–95 years, 75–95 years and 55–65 years are considered to be the strongest period in spring, summer, autumn and winter. One hundred and fiftythree years, 85 years, 83 years and 59 years are the first order main periods in spring, summer, autumn and winter, respectively. The trend and period of annual precipitation are mainly impacted by rainfall in summe. According to the first main period of 85 years in both summer and annual precipitation data series, Beijing will experience a time period of less precipitation in 2009–2030.

Cite this article

LI Miao, XIA Jun, MENG Dejuan . Long-term Trend Analysis of Seasonal Precipitation for Beijing, China[J]. Journal of Resources and Ecology, 2012 , 3(1) : 64 -72 . DOI: 10.5814/j.issn.1674-764x.2012.01.010


Andreo B, P Jiménez, J J Durán, F Carrasco, I Vadillo, A Mangin. 2006. Climatic and hydrological variations during the last 117–166 years in the south of the Iberian Peninsula, from spectral and correlation analyses and continuous wavelet analyses. Journal of Hydrology, 324(1-4): 24-39.
Buishand T A, G T Kempen, et al. 1988. Trend and seasonal variation of precipitation chemistry data in the Netherlands. Atmospheric Environment, 22(2): 339-348.
Chen Z H, S E Grasby. 2009. Impact of decadal and century-scale oscillations on hydroclimate trend analyses. Journal of Hydrology, 365(1-2): 122-133
Daubechies I. 1990. The wavelet transform, time-frequency localization and signal analysis. IEEE Transactions on Information Theory. 36 (5): 961- 1005.
Dibike Y, T Prowse, R Shrestha, R Ahmed. 2011. Observed trends and future projections of precipitation and air temperature in the Lake Winnipeg watershed Journal of Great Lakes Research, In Press, Corrected Proof,Available online 13 May 2011.
Dohan K, P H Whitfield. 1997. Identification and characterization of water quality transients using wavelet analysis. I. wavelet analysis methodology. Water Science and Technology, 36(5): 325-335.
Drago A F, S R Boxall. 2002. Use of the wavelet transform on hydrometeorological data. Physics and Chemistry of the Earth, 27: 1387- 1399.
Hamed K H. 2008. Trend detection in hydrologic data: The Mann–Kendall trend test under the scaling hypothesis. Journal of Hydrology, 349(3-4):350-363.
Hamed K H. 2009. Exact distribution of the Mann–Kendall trend test statistic for persistent data. Journal of Hydrology, 365(1-2): 86-94.
Heng T, Wang W S, Ding J. 2002. Wavelet characteristics of the change in precipitation time series. Resources and Environment in the Yangtze Basin, 11(5): 466-470. (in Chinese)
Hipel K W, Mcleod A I, Weiler R R. 1988. Data analysis of water quality time series in Lake Erie. Water Resour. Bull. 24(3): 533-544.
Huang Y L, Wang Y L, Zhang L P. 2008. Long-term trend of chemical composition of wet atmospheric precipitation during 1986–2006 at Shenzhen City, China. Atmospheric Environment, 42(16): 3740-3750.
Jiang T, Su B D, H Hartmann. 2007. Temporal and spatial trends of precipitation and river flow in the Yangtze River Basin, 1961–2000. Geomorphology, 85(3-4): 143-154.
Kang S J, Lin H. 2007. Wavelet analysis of hydrological and water quality signals in an agricultural watershed. Journal of Hydrology, 338(1-2): 1-14.
Kendall M G. 1975. Rank Correlation Methods. Griffin, London.
Kuang Z, Ji Z Z, Lin Y H. 2000. Wavelet analysis of rainfall data in North China. Climatic and Environmental Research, 5(3): 312-317.
Kulkarni J R. 2000. Wavelet Analysis of the Association Between the Southern Oscillation and the Indian Summer Monsoon. International Journal of Climatology, 20: 89-104.
Kumar S, V Merwade, J Kam, K Thurner. 2009. Streamflow trends in Indiana: Effects of long term persistence, precipitation and subsurface drains. Journal of Hydrology, 374(1-2): 171-183
Labat D, R Ababou, A Mangin. 2000. Rainfall–runoff relations for karstic springs. Part II: continuous wavelet and discrete orthogonal multiresolution analyses. Journal of Hydrology, 238(3-4): 149-178
Labat D, A Mangin, R Ababou.2001. Introduction of wavelet analyses to rainfall-runoffs relationship for karstic basins: the case of Licq-Atherey karstic system (France). Ground Water. 39(4): 605-615.
Labat D, A Mangin, R Ababou. 2002. Rainfall-runoff relations for karstic springs: multifractal analyses. Journal of Hydrology, 256(3-4): 176-195.
Li M, Xia J, Chen S M, D J Meng. 2011. Wavelet analysis on annual precipitation around 300 years in Beijing area. Journal of Natural Resources, 26(6): 1001-1011. (in Chinese)
Li P C, Li Q F, Cai T et al. 2010. Feature analysis of 51 years precipitation change in Beijing and Tianjin area. Water Resources and Power, 28(10): 6-9. (in Chinese)Liang L Q, Li L J, Liu Q. 2011. Precipitation variability in Northeast China from 1961 to 2008. Journal of Hydrology, 404(1-2): 67-76.
Liu P C. 1995. Wavelet spectrum analysis and ocean wind waves. In: Foufoula-Georgiou, E., Kumar, P. (Eds.), Wavelets in Geophysics. Academic Press, New York, 151-166.
Lu W X, Chen S M, Wang C Z et al. 2010. Variation Characteristics of Annual Precipitation in Da’an Area Based on Wavelet Transformation. Journal of Jilin University (Earth Science Edition), 40(1): 121-126. (in Chinese)
Mann H B. 1945. Nonparametric tests against trend. Econometrica, 13: 245-259.
Meyer Y. 1993. Wavelets Algorithms & Applications. Society for Industrial and Applied Mathematics Philadelphia.
Nakken M. 1999. Wavelet analysis of rainfall–runoff variability isolating climatic from anthropogenic patterns. Environmental Modelling and Software, 14(4): 283-295.
Park J, M E Mann. 2000. Interannual temperature events and shifts in global temperature: a multiple wavelet correlation approach. Earth Interactions, 19: 391-403.
Partal T, E Kahya. 2006. Trend analysis in Turkey precipitation data.Hydrologic Processes, 20: 2011-2026.
Partal T, M Küçük. 2006. Long-term trend analysis using discrete wavelet components of annual precipitations measurements in Marmara region (Turkey). Physics and Chemistry of the Earth, Parts A/B/C, 31(18): 1189- 1200.
Rossi A, N Massei, B Laignel. 2011. A synthesis of the time-scale variability of commonly used climate indices using continuous wavelet transform.Global and Planetary Change, 78(1-2): 1-13.
Westmacott J R, D H Burn. 1997. Climate change effects on the hydrologic regime within the Churchill-Nelson River Basin. Journal of Hydrology, 202(1-4): 263-279.
Xie Z, Cao H X, Li H et al. 2000. Wavelet characteristics of climate change in Beijing since the 19th century. ACTA METEOROLOGICA SINICA, 58 (3): 362-369. (in Chinese)
Xie Z, Wang G T. 1994. The changes of temperature and precipitation in Beijing during last 100 years. Scientia Atmospherica Sinica, 18(6): 683- 690. (in Chinese)
Xu Z X, Liu Z F, Fu G B, Chen Y N. 2010. Trends of major hydroclimatic variables in the Tarim River basin during the past 50 years. Journal of Arid Environments, 74(2): 256-267.
Yu S Q. 2007. Research on inter-annual changes of precipitation in Beijing area and its urban effects. Advances in Natural Science, 17(5): 632-638. (in Chinese)
Yue S, Wang C Y 2002. Applicability of prewhitening to eliminate the influence of serial correlation on the Mann-Kendall test. Water Resour.Res, 38(6): 1068-1074.
Yue S, P Pilon, G Cavadias. 2002. Power of the Mann-Kendall and spearman’s rho test for detecting monotonic trends in hydrological series.Journal of Hydrology, 259: 254-271.