Skip to main content
Log in

An integrated statistical approach to identify the nonlinear trend of runoff in the Hotan River and its relation with climatic factors

  • Original Paper
  • Published:
Stochastic Environmental Research and Risk Assessment Aims and scope Submit manuscript

Abstract

A number of studies have indicated a transition from warm-dry to warm-wet climate in Northwest China after the 1980s. This transition was characterized by an increase in temperature and precipitation, added river runoff volume, increased lake water surface elevation and area, and elevated groundwater table. However, some literatures showed that the Hotan River has presented a contrary situation, i.e. the runoff decreased, whereas temperature and precipitation increased. In order to discover the nonlinear runoff trend and its causes in the Hotan River, based on the related data from hydrological stations, ground and air sounding meteorological stations, this study applied a comprehensive method combing correlation analysis, wavelet analysis and regression analysis to investigate the runoff change in the Hotan River with its relevant climatic factors over the past decades. The main findings are: (a) the hydrological process of the Hotan River is a nonlinear system, with a periodicity of 24 year cycle, and it shows different nonlinear trends at different time scales; (b) the data from the ground meteorological stations in the Hotan area shows a false appearance that there is almost no correlation between runoff and temperature, and a little negative correlation between runoff and precipitation; (c) but the data from air sounding meteorological stations shows the truth that there is a close relation between the runoff in the Hotan River and the 0°C level height in summer on the north slope of Kunlun Mountains. The two variables present a same periodicity, i.e. 24-year cycle, having similar nonlinear trends and significant correlations at different time scales.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6

Similar content being viewed by others

References

  • Archer DR, Fowler HJ (2008) Using meteorological data to forecast seasonal runoff on the River Jhelum, Pakistan. J Hydrol 361:10–23. doi:10.1016/j.jhydrol.2008.07.017

    Article  Google Scholar 

  • Bruce LM, Koger CH, Li J (2002) Dimensionality reduction of hyperspectral data using discrete wavelet transform feature extraction. IEEE Trans Geosci Remote Sens 40(10):2331–2338. doi:10.1109/TGRS.2002.804721

    Article  Google Scholar 

  • Chen J, Kumar P (2004) A modeling study of the ENSO influence on the terrestrial energy profile in North America. J Clim 17:1657–1670. doi:10.1175/1520-0442(2004)017<1657:AMSOTE>2.0.O;2

    Article  Google Scholar 

  • Chen YN, Xu ZX (2005) Plausible impact of global climate change on water resources in the Tarim River Basin. Sci China Ser D Earth Sci 48(1):65–73. doi:10.1360/04yd0539

    Article  Google Scholar 

  • Chen YN, Takeuchi K, Xu CC, Chen YP, Xu ZX (2006) Regional climate change and its effects on river runoff in the Tarim Basin, China. Hydrol Process 20:2207–2216. doi:10.1002/hyp.6200

    Article  Google Scholar 

  • Chen W, Wang L, Xue YK, Sun SF (2009) Variabilities of the spring river runoff system in East China and their relations to precipitation and sea surface temperature. Int J Climatol 29:1381–1394. doi:10.1002/joc.1785

    Article  Google Scholar 

  • Chou CM (2007) Efficient nonlinear modeling of rainfall-runoff process using wavelet compression. J Hydrol 332:442–455. doi:10.1016/j.jhydrol.2006.07.015

    Article  Google Scholar 

  • Farge M (1992) Wavelet transforms and their applications to turbulence. Annu Rev Fluid Mech 24:395–457. doi:10.1146/annurev.fl.24.010192.002143

    Article  Google Scholar 

  • Kim BS, Kim HS, Seoh BH, Kim NW (2007) Impact of climate change on water resources in Yongdam Dam Basin, Korea. Stoch Environ Res Risk Assess 21(4):355–373. doi:10.1007/s00477-006-0070-5

    Article  Google Scholar 

  • Kim TW, Yoo C, Ahn JH (2008) Influence of climate variation on seasonal precipitation in the Colorado River Basin. Stoch Environ Res Risk Assess 22(3):411–420. doi:10.1007/s00477-007-0126-1

    Article  Google Scholar 

  • Labat D (2005) Recent advances in wavelet analyses: part 1. A review of concepts. J Hydrol 314:275–288

    Article  Google Scholar 

  • Labat D, Godderis Y, Probst JL, Guyot JL (2004) Evidence for global runoff increase related to climate warming. Adv Water Resour 27(6):631–642. doi:10.1016/j.advwatres.2004.02.020

    Article  Google Scholar 

  • Lee KS, Chung ES (2007) Hydrological effects of climate change, groundwater withdrawal, and land use in a small Korean watershed. Hydrol Process 21(22):3046–3056. doi:10.1002/hyp.6513

    Article  Google Scholar 

  • Li L, Ha ZC, Wang JH, Wang ZH, Yu ZB (2008) Impact of future climate change on runoff in the head region of the Yellow River. J Hydrol Eng 13(5):347–354. doi:10.1061/(ASCE)1084-0699(2008)13:5(347)

    Article  Google Scholar 

  • Liu SY, Ding YJ, Zhang Y, Shangguan DH, Li J, Han HD, Wang J, Xie CM (2006) Impact of the glacial change on water resources in the Tarim River Basin. Acta Geogr Sin 61(5):482–490 (in Chinese)

    Google Scholar 

  • Lu F, Xu JH, Chen YN, Li WH, Zhang LJ (2010) Annual runoff change and its response to climate change in the headwater area of the Yarkand river in the recent 50 years. Quat Res 30(1):152–158 (in Chinese). doi:10.3969/j.issn.1001-7410.2010.01.15

    Google Scholar 

  • Mallat SG (1989) A theory for multiresolution signal decomposition: the wavelet representation. IEEE Trans Pattern Anal Mach Intell 11(7):674–693

    Article  Google Scholar 

  • Partal T (2009) Wavelet transform-based analysis of periodicities and trends of Sakarya basin (Turkey) streamflow data. River Res Appl. doi:10.1002/rra.1264. Published online: 17 Jul 2009

  • Ramsey JB (1999) Regression over timescale decompositions: a sampling analysis of distributional properties. Econ Syst Res 11(2):163–183

    Article  Google Scholar 

  • Ren GY, Xu MZ, Chu ZY, Guo J, Li QX, Liu XN, Wang Y (2005) Changes of surface air temperature in China during 1951–2004. Clim Environ Res 10(4):717–727 (in Chinese)

    Google Scholar 

  • Shao QX, Wong H, Li M, Ip WC (2009) Streamflow forecasting using functional-coefficient time series model with periodic variation. J Hydrol 368:88–95. doi:10.1016/j.jhydrol.2009.01.029

    Article  Google Scholar 

  • Shen B, Huang LM, Ruan BQ, Luo GM (2003) Study on the water cycling characteristics of Hotan oasis during the second half of last century. J Hydraul Eng 5:78–83 (in Chinese)

    Google Scholar 

  • Shi YF (2005) Concise Chinese glacier directory. Shanghai Popular Science Press, 63

  • Shi YF, Liu SY, Shangguan DH, Li DL, Ye BS, Shen YP (2006) Two peculiar phenomena of climatic and glacial variations in the Tibetan plateau. Adv Clim Change Res 2(4):154–160 (in Chinese)

    Google Scholar 

  • Shi YF, Shen YP, Kang E, Li DL, Ding YJ, Zhang GW, Hu RJ (2007) Recent and future climate change in northwest china. Clim Change 80(3–4):379–393. doi:10.1007/s10584-006-9121-7

    Article  CAS  Google Scholar 

  • Smith LC, Turcotte DL, Isacks BL (1998) Streamflow characterization and feature detection using a discrete wavelet transform. Hydrol Process 12:233–249. doi:110.1002/(SICI)1099-1085(199802)12:2<233:AID-HYP573>3.0.CO;2-3

    Article  Google Scholar 

  • Terray L, Cassou C (2000) Modes of low-frequency climate variability and their relationships with land precipitation and surface temperature: application to the Northern Hemisphere winter climate. Stoch Environ Res Risk Assess 14(4):339–369. doi:10.1007/s004770000054

    Article  Google Scholar 

  • Torrence C, Compo GP (1998) A practical guide to wavelet analysis. Bull Am Meteorol Soc 79(1):61–78

    Article  Google Scholar 

  • Wang X, Xie ZC, Liu SY, Shangguan DH, Tao JJ, Yang YL (2006) Prediction on the variation trend of glacier system in the source region of Tarim River responding to climate change. Journal of Mountain Science 24(6):641–646 (in Chinese)

    CAS  Google Scholar 

  • Wang YL, Yusup A, Ma HW, Mao WY (2008) Response of summer average discharge in the Hotan River to changes in regional 0 °C level height. Adv Clim Change Res 4(3):151–155 (in Chinese)

    Google Scholar 

  • Wu Y, Cheng WM, Ren LL, Zhang YC, Zhang XR (2006) Analysis on the characteristics of annual runoff in Hotan catchment. J Nat Resour 21(3):375–381 (in Chinese)

    Google Scholar 

  • Xu JH (2002) Mathematical methods in contemporary geography. Higher Education Press, Beijing, pp 37–105 (in Chinese)

  • Xu JH, Chen YN, Li WH, Dong S (2008a) Long-term trend and fractal of annual runoff process in mainstream of Tarim River. Chin Geogr Sci 18(1):77–84. doi:10.1007/s11769-008-0077-6

    Article  Google Scholar 

  • Xu JH, Chen YN, Ji MH, Lu F (2008b) Climate change and its effects on runoff of Kaidu River, Xinjiang, China: a multiple time-scale analysis. Chin Geogr Sci 18(4):331–339. doi:10.1007/s11769-008-0331-y

    Article  Google Scholar 

  • Xu JH, Chen YN, Li WH, Ji MH, Dong S (2009a) The complex nonlinear systems with fractal as well as chaotic dynamics of annual runoff processes in the three headwaters of the Tarim River. J Geogr Sci 19(1):25–35. doi:10.1007/s11442-009-0025-0

    Article  Google Scholar 

  • Xu JH, Chen YN, Li WH, Ji MH, Dong S, Hong YL (2009b) Wavelet analysis and nonparametric test for climate change in Tarim River Basin of Xinjiang during 1959–2006. Chin Geogr Sci 19(4):306–313. doi:10.1007/s11769-009-0306-7

    Article  Google Scholar 

  • Xu JH, Li WH, Ji MH, Lu F, Dong S (2010a) A comprehensive approach to characterization of the nonlinearity of runoff in the headwaters of the Tarim River, western China. Hydrol Process 24(2):136–146. doi:10.1002/hyp.7484

    Article  Google Scholar 

  • Xu JH, Chen YN, Lu F, Li WH, Zhang LJ, Hong YL (2010b) The nonlinear trend of runoff and its response to climate change in the Aksu River, western China. Int J Climatol. doi: 10.1002/joc.2110. Published online: Mar 4 2010

  • Yusup A, Ma HW, Maimaiti A, Liu HT (2006) Analysis of climatic changes in the Hotan River Valley. Meteorol Month 32(4):97–100 (in Chinese)

    Google Scholar 

  • Zhang GX (2007) The response of annual runoff to the height change at the zero temperature level in summer over Xinjiang. Acta Geogr Sin 62(3):279–290 (in Chinese)

    Google Scholar 

  • Zhang GW, Wu SF, Wang ZJ (2003) The signal of climatic shift in Northwest China deduced from river runoff change in Xinjiang region. J Glaciol Geocryol 25(2):183–187 (in Chinese)

    Google Scholar 

  • Zhang GX, Yang LM, Yang Q (2005) Changing trend, abrupt change of the 0°C level height in summer in Xinjiang from 1960 to 2002. J Glaciol Geocryol 27(3):376–380 (in Chinese)

    CAS  Google Scholar 

  • Zhang XW, Shen B, Huang LM (2007) Study on the variation law of the annual runoff in Hotan River. J Nat Resour 22(6):974–979 (in Chinese)

    Google Scholar 

  • Zhang Q, Xu CY, Tao H, Jiang T, Chen YD (2009) Climate changes and their impacts on water resources in the arid regions: a case study of the Tarim River basin, China. Stoch Environ Res Risk Assess 24(3):349–358. doi:10.1007/s00477-009-0324-0

    Article  Google Scholar 

  • Zimmerman DW (1986) Tests of significance of correlation coefficients in the absence of bivariate normal populations. J Exp Educ 54(4):223–227

    Google Scholar 

Download references

Acknowledgments

This work was supported by National Basic Research Program of China (973 Program; No: 2010CB951003) and the Knowledge Innovation Project from the Chinese Academy of Sciences (KZCX2-XB2-03, and KZCX2-YW-127).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jianhua Xu.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Xu, J., Chen, Y., Li, W. et al. An integrated statistical approach to identify the nonlinear trend of runoff in the Hotan River and its relation with climatic factors. Stoch Environ Res Risk Assess 25, 223–233 (2011). https://doi.org/10.1007/s00477-010-0433-9

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00477-010-0433-9

Keywords

Navigation