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The Trend of Groundwater Level Using Threshold-Based Wavelet De-Noising Approach

  • WATER RESOURCES AND THE REGIME OF WATER BODIES
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Abstract

The aims of this study was to identify the groundwater level (GWL) trend and dominant periodic component of Ardabil plain (North-west of Iran) using three variations of the Mann–Kendall (MK) procedures: (i) MK without autocorrelation (MK1), (ii) MK with lag-1 autocorrelation and trend-free pre-whitening (MK2) and (iii) MK with long term persistence (LTP) (MK3). A Self-Organizing-Map (SOM) clustering technique was performed for classification of 15 piezometers during the period 1993–2018 spatially into homogeneous clusters. The GWL time series of central piezometers as representative were de-noised using wavelet method. Also, the MK1 test was applied to different combinations of discrete wavelet transform (DWT) to calculate dominant components in trend of the GWL time. The results of all MK tests showed that negative trend at central piezometers of the plain; using wavelet based de-noising approach decrease the Z-value of the MK1 and MK2 tests and enhance the Z-value of the MK3 test in comparison to original GWL time series. Appling de-noising technique in MK3 shows least intensity negative trend among all central piezometers. Also, detail time series based on wavelet at level 3 plus the time series of approximations (A + d3) was assigned as the main periodic component in them trend.

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REFERENCES

  1. Almasri, A., Locking, H. and Shukar, G., Testing for climate warming in Sweden during 1850–1999 using wavelet analysis, J. Appl. Stat., 2008, vol. 35, pp. 431–443.

    Article  Google Scholar 

  2. Araghi, A., Mousavi Baygi, M., Adamowski, J., Malard, J., Nalley, D. and Hasheminia, S.M., Using wavelet transforms to estimate surface temperature trends and dominant periodicities in Iran based on gridded reanalysis data, Atmos. Res., 2015, vol. 155, pp. 52–72.

    Article  Google Scholar 

  3. Chen, Y., Guan, Y., Shao, G. and Zhang, D., Investigating trends in streamflow and precipitation in Huangfuchuan Basin with wavelet analysis and the Mann–Kendall test, Water, 2016, vol. 8, no. 3, p. 77. https://doi.org/10.3390/w8030077

    Article  Google Scholar 

  4. Daneshvar Vousoughi, F., Dinpashoh, Y., Aalami, M.T. and Jhajharia, D., Trend analysis of groundwater using nonparametric methods (case study: Ardabil plain), Stoch. Environ. Res. Risk Assess., 2013, vol. 27, pp. 547–559.

    Article  Google Scholar 

  5. Donoho, D.H., De-noising by soft-thresholding, IEEE Trans. Inf. Theory., 1995, vol. 41, no. 3, pp. 613–617.

    Article  Google Scholar 

  6. Gibrilla, A., Anornu, G., and Adomako, D., Trend analysis and ARIMA modelling of recent groundwater levels in the White Volta River basin of Ghana, Groundw. Sustain. Dev., 2018, vol. 6, pp. 150–163.

    Google Scholar 

  7. Halik, U., Aishan, T., Betz, F., Kurban, A., and Rouzi, A., Effectiveness and challenges of ecological engineering for desert riparian forest restoration along China’s largest inland river, Ecol. Eng., 2019, vol. 127, pp. 11–22.

    Article  Google Scholar 

  8. Hamed, K.H., Trend detection in hydrologic data: the Mann–Kendall trend test under the scaling hypothesis, J. Hydrol., 2008, vol. 349, pp. 350–363.

    Article  Google Scholar 

  9. Kohonen, T., Self-Organizing Maps, Springer-Verlag, Berlin, Heidelberg, 1997.

    Book  Google Scholar 

  10. Koutsoyiannis, D. and Montanari, A., Statistical analysis of hydro climatic time series: uncertainty and insights, Water Resour. Res., 2007, vol. 43, W05429. https://doi.org/10.1029/2006WR005592

    Article  Google Scholar 

  11. Kumar, S., Merwade, V., Kam, J., and Thurner, K., Streamflow trends in Indiana: Effects of long-term persistence, precipitation and subsurface drains, J. Hydrol., 2009, vol. 374, pp. 171–183.

    Article  Google Scholar 

  12. Le Brocque, A.F., Kath, J., and Reardon-Smith, K., Chronic groundwater decline: A multi-decadal analysis of groundwater trends under extreme climate cycles, J. Hydrol., 2018, vol. 561, pp. 976–986.

    Article  Google Scholar 

  13. Liu, S., Huang, S., Xie, Y., Huang, Q., Wang, H., and Leng, G., Assessing the non-stationarity of low flows and their scale-dependent relationships with climate and human forcing, Sci. Total Environ., 2019, vol. 687, pp. 244–256.

    Article  Google Scholar 

  14. Liu, Z. and Menzel, L., Identifying long-term variations in vegetation and climatic variables and their scale-dependent relationships: A case study in Southwest Germany, Glob. Planet. Change, 2016, vol. 147, pp. 54–66.

    Article  Google Scholar 

  15. Mallat, S.G., A Wavelet Tour of Signal Processing, Academic Press, San Diego, 1998.

    Google Scholar 

  16. Nalley, D., Adamowski, J., and Khalil, B., Using discrete wavelet transforms to analyze trends in streamflow and precipitation in Quebec and Ontario (1954–2008), J. Hydrol., 2012, vol. 475, pp. 204–228.

    Article  Google Scholar 

  17. Nourani, V. and Mousavi, S., Spatiotemporal groundwater level modeling using hybrid artificial intelligence-meshless method, J. Hydrol., 2016, vol. 536, pp. 10–25.

    Article  Google Scholar 

  18. Nourani, V., Nezamdoost, N., Samadi, M., and Daneshvar Vousoughi, F., Wavelet-based trend analysis of hydrological processes at different timescales, J. Water Clim. Change., 2015, vol. 6, no. 3, pp. 414–435.

    Article  Google Scholar 

  19. Panda, K., Mishra, A., Jena, S.K., James, B.K., and Kumar, A., The influence of drought and anthropogenic effects on groundwater levels in Orissa, India, J. Hydrol., 2007, vol. 343, pp. 140–153.

    Article  Google Scholar 

  20. Tabari, H., Nikbakht, J., and Shifteh Some’e, B., Investigation of groundwater level fluctuations in the north of Iran, Environ. Earth Sci., 2012, vol. 66, pp. 231–243.

    Article  Google Scholar 

  21. Xu, J., Chen, Y., Li, W., Ji, M., Dong, S., and Hong, Y., Wavelet analysis and nonparametric test for climate change in Tarim River basin of Xinjiang during 1959–2006, Chin. Geogr. Sci., 2009, vol. 19, pp. 306–313.

    Article  Google Scholar 

  22. Yue, S., Pilon, P., Phinney, B., and Cavadias, G., The influence of autocorrelation on the ability to detect trend in hydrological series, Hydrol. Process., 2002, vol. 16, no. 9, pp. 1807–1829.

    Article  Google Scholar 

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Correspondence to Farnaz Daneshvar Vousoughi.

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Vousoughi, F. The Trend of Groundwater Level Using Threshold-Based Wavelet De-Noising Approach. Water Resour 49, 711–720 (2022). https://doi.org/10.1134/S0097807822040200

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  • DOI: https://doi.org/10.1134/S0097807822040200

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