Case Studies
Aug 27, 2020

Evaluation of Trends and Dominant Modes in Maximum Flows in Turkey Using Discrete and Additive Wavelet Transforms

Publication: Journal of Hydrologic Engineering
Volume 25, Issue 11

Abstract

This paper aims to define trends and dominant modes in annual instantaneous maximum flows (AIMF) covering the period 1961–2014 from 10 gauge stations located in different river basins in Turkey. To achieve this aim, discrete wavelet transform (DWT) and additive wavelet transform (AWT) in conjunction with the Mann-Kendall (MK) test are used and compared for the first time. Moreover, global wavelet spectrum (GWS) is employed to test the significance of the most effective periodic components. The sequential MK test is also used to determine the start or change points of trend in AIMF series. From the MK trend results, five stations showed a statistically significant (at a 5% level) negative trend for AIMF series and short-term periodic components (2 and 4  years) were found to be the most effective components, which are responsible for producing a real trend founded on the data series. The GWS analysis indicated that the most dominant components identified are significant. In addition, the MK-z values of the most effective periods derived from AWT generally showed a better agreement with MK-z value of original time series with higher correlation coefficient compared to those of DWT. The sequential MK graphs of the AWT-based time series also produced a better harmony with the sequential MK of the original data. Finally, the results showed AWT coupled with the MK provided a very efficient and accurate analysis for defining the most effective modes in the AIMF series and can be successfully used in any hydrological time series.

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Data Availability Statement

The AIMF records used in this study are available from the web page (http://www.dsi.gov.tr/) of the General Directorate of State Hydraulic Works, Turkey (gauge numbers provided in the manuscript).

Acknowledgments

The authors are very grateful to the General Directorate of State Hydraulic Works, Turkey for providing the annual instantaneous maximum flow records used in this study.

References

Adamowski, J., and K. Sun. 2010. “Development of a coupled wavelet transform and neural network method for flow forecasting of non-perennial rivers in semi-arid watersheds.” J. Hydrol. 390 (1–2): 85–91. https://doi.org/10.1016/j.jhydrol.2010.06.033.
Al-Qazzaz, N. K., S. Hamid Bin Mohd Ali, S. A. Ahmad, M. S. Islam, and J. Escudero. 2015. “Selection of mother wavelet functions for multi-channel EEG signal analysis during a working memory task.” Sensors 15 (11): 29015–29035. https://doi.org/10.3390/s151129015.
Araghi, A., M. M. Baygi, J. Adamowski, J. Malard, D. Nalley, and S. M. Hasheminia. 2015. “Using wavelet transforms to estimate surface temperature trends and dominant periodicities in Iran based on gridded reanalysis data.” Atmos. Res. 155 (Mar): 52–72. https://doi.org/10.1016/j.atmosres.2014.11.016.
Assani, A. A., S. Charron, M. Matteau, M. Mesfioui, and J. F. Quessy. 2010. “Temporal variability modes of floods for catchments in the St. Lawrence watershed (Quebec, Canada).” J. Hydrol. 385 (1–4): 292–299. https://doi.org/10.1016/j.jhydrol.2010.02.031.
Bai, P., X. Liu, and C. Liu. 2016. “Investigation of changes in the annual maximum flood in the Yellow river basin, China.” Quat. Int. 392 (Jan): 168–177. https://doi.org/10.1016/j.quaint.2015.04.053.
Balling, R. C., Jr. 1992. The heated debate: Greenhouse predictions versus climate reality, 195. San Francisco: Pacific Research Institute for Public Policy.
Bari, S. H., M. T. U. Rahman, M. A. Hoque, and M. M. Hussain. 2016. “Analysis of seasonal and annual rainfall trends in the northern region of Bangladesh.” Atmos. Res. 176–177 (Jul–Aug): 148–158. https://doi.org/10.1016/j.atmosres.2016.02.008.
Bormann, H., N. Pinter, and S. Elfert. 2011. “Hydrological signatures of flood trends on German rivers: Flood frequencies, flood heights and specific stages.” J. Hydrol. 404 (1–2): 50–66. https://doi.org/10.1016/j.jhydrol.2011.04.019.
Burn, D. H., and M. A. H. Elnur. 2002. “Detection of hydrologic trends and variability.” J. Hydrol. 255 (1–4): 107–122. https://doi.org/10.1016/S0022-1694(01)00514-5.
Cerda, A. 1998. “Effect of climate on surface flow along a climatological gradient in Israel: A field rainfall simulation approach.” J. Arid. Environ. 38 (2): 145–159. https://doi.org/10.1006/jare.1997.0342.
Cigizoglu, H. K., M. Bayazit, and B. Onoz. 2005. “Trends in the maximum, mean, and low flows of Turkish rivers.” J. Hydrometeorol. 6 (3): 280–290. https://doi.org/10.1175/JHM412.1.
CRED (Centre for Research on the Epidemiology of Disasters). 2015. The human cost of natural disasters: A global perspective. Brussels, Belgium: CRED.
Cunderlik, J. M., and T. B. Ouarda. 2009. “Trends in the timing and magnitude of floods in Canada.” J. Hydrol. 375 (3–4): 471–480. https://doi.org/10.1016/j.jhydrol.2009.06.050.
Dabanli, I., Z. Sen, M. O. Yelegen, E. Sisman, B. Selek, and Y. S. Guclu. 2016. “Trend assessment by the innovative-Şen method.” Water Resour. Manage. 30 (14): 5193–5203. https://doi.org/10.1007/s11269-016-1478-4.
Daubechies, I. 1992. Ten lectures on wavelets. Philadelphia: Society for Industrial and Applied Mathematics.
Douglas, E. M., R. M. Vogel, and C. N. Kroll. 2000. “Trends in floods and low flows in the United States: Impact of spatial correlation.” J. Hydrol. 240 (1–2): 90–105. https://doi.org/10.1016/S0022-1694(00)00336-X.
Haktanir, T., and H. Citakoglu. 2014. “Trend, independence, stationarity, and homogeneity tests on maximum rainfall series of standard durations recorded in Turkey.” J. Hydrol. Eng. 19 (9): 05014009. https://doi.org/10.1061/(ASCE)HE.1943-5584.0000973.
Hamed, K. H., and A. R. Rao. 1998. “A modified Mann-Kendall trend test for autocorrelated data.” J. Hydrol. 204 (1–4): 182–196. https://doi.org/10.1016/S0022-1694(97)00125-X.
Joshi, N., D. Gupta, S. Suryavanshi, J. Adamowski, and C. A. Madramootoo. 2016. “Analysis of trends and dominant periodicities in drought variables in India: A wavelet transform based approach.” Atmos. Res. 182 (Dec): 200–220. https://doi.org/10.1016/j.atmosres.2016.07.030.
Kahya, E., and S. Kalayci. 2004. “Trend analysis of streamflow in Turkey.” J. Hydrol. 289 (1–4): 128–144. https://doi.org/10.1016/j.jhydrol.2003.11.006.
Kahya, E., and M. C. Karabork. 2001. “The analysis of El Niño and La Niña signals in streamflows of Turkey.” Int. J. Climatol. 21 (10): 1231–1250. https://doi.org/10.1002/joc.663.
Kalayci, S., and E. Kahya. 2006. “Assessment of streamflow variability modes in Turkey: 1964–1994.” J. Hydrol. 324 (1–4): 163–177. https://doi.org/10.1016/j.jhydrol.2005.10.002.
Kaplan, N. H., and I. Erer. 2016. “Pansharpening via weighted additive wavelet transform.” In Proc., 24th Signal Processing and Communication Application Conf. (SIU), 781–784. New York: IEEE.
Keesstra, S., J. P. Nunes, P. Saco, T. Parsons, R. Poeppl, R. Masselink, and A. Cerdà. 2018. “The way forward: Can connectivity be useful to design better measuring and modelling schemes for water and sediment dynamics?” Sci. Total Environ. 644 (Dec): 1557–1572. https://doi.org/10.1016/j.scitotenv.2018.06.342.
Kendall, M. G. 1975. Rank correlation methods. London: Charles Griffin.
Lopez-Moreno, J. I., S. Begueria, and J. M. Garcia-Ruiz. 2006. “Trends in high flows in the central Spanish Pyrenees: Response to climatic factors or to land-use change?” Hydrol. Sci. J. 51 (6): 1039–1050. https://doi.org/10.1623/hysj.51.6.1039.
Mallat, S. G. 1989. “A theory for multiresolution signal decomposition—The wavelet representation.” IEEE Trans. Pattern Anal. Mach. Intell. 11 (7): 674–693. https://doi.org/10.1109/34.192463.
Mann, H. B. 1945. “Nonparametric tests against trend.” Econometrica 13 (3): 245–259. https://doi.org/10.2307/1907187.
Mediero, L., D. Santillan, L. Garrote, and A. Granados. 2014. “Detection and attribution of trends in magnitude, frequency and timing of floods in Spain.” J. Hydrol. 517 (Sep): 1072–1088. https://doi.org/10.1016/j.jhydrol.2014.06.040.
Mehan, S., N. Kannan, R. P. Neupane, R. McDaniel, and S. Kumar. 2016. “Climate change impacts on the hydrological processes of a small agricultural watershed.” Climate 56 (4): 2–22. https://doi.org/10.3390/cli4040056.
Mohsin, T., and W. A. Gough. 2010. “Trend analysis of long-term temperature time series in the greater Toronto area (GTA).” Theor. Appl. Climatol. 101 (3–4): 311–327. https://doi.org/10.1007/s00704-009-0214-x.
Nalley, D., J. Adamowski, and B. Khalil. 2012. “Using discrete wavelet transforms to analyze trends in streamflow and precipitation in Quebec and Ontario (1954–2008).” J. Hydrol. 475 (Dec): 204–228. https://doi.org/10.1016/j.jhydrol.2012.09.049.
Nalley, D., J. Adamowski, B. Khalil, and B. Ozga-Zielinski. 2013. “Trend detection in surface air temperature in Ontario and Quebec, Canada during 1967–2006 using the discrete wavelet transform.” Atmos. Res. 132–133 (Oct–Nov): 375–398. https://doi.org/10.1016/j.atmosres.2013.06.011.
Nasr, A., and M. Bruen. 2017. “Detection of trends in the 7-day sustained low-flow time series of Irish rivers.” Hydrol. Sci. J. 62 (6): 947–959. https://doi.org/10.1080/02626667.2016.1266361.
Nourani, V., A. H. Baghanam, J. Adamowski, and O. Kisi. 2014. “Applications of hybrid wavelet—Artificial intelligence models in hydrology: A review.” J. Hydrol. 514 (Jun): 358–377. https://doi.org/10.1016/j.jhydrol.2014.03.057.
Nourani, V., O. Kisi, and M. Komasi. 2011. “Two hybrid artificial intelligence approaches for modeling rainfall-runoff process.” J. Hydrol. 402 (1–2): 41–59. https://doi.org/10.1016/j.jhydrol.2011.03.002.
Nourani, V., A. D. Mehr, and N. Azad. 2018. “Trend analysis of hydroclimatological variables in Urmia lake basin using hybrid wavelet Mann-Kendall and Şen tests.” Environ. Earth Sci. 77 (5): 207. https://doi.org/10.1007/s12665-018-7390-x.
Nunez, J., X. Otazu, O. Fors, A. Prades, V. Pala, and R. Arbiol. 1999. “Multiresolution-based image fusion with additive wavelet decomposition.” IEEE Trans. Geosci. Remote Sens. 37 (3): 1204–1211. https://doi.org/10.1109/36.763274.
Otazu, X., M. Gonzalez-Audicana, O. Fors, and J. Nunez. 2005. “Introduction of sensor spectral response into image fusion methods. Application to wavelet-based methods.” IEEE Trans. Geosci. Remote Sens. 43 (10): 2376–2385. https://doi.org/10.1109/TGRS.2005.856106.
Panda, D. K., A. Kumar, S. Ghosh, and R. K. Mohanty. 2013. “Streamflow trends in the Mahanadi river basin (India): Linkages to tropical climate variability.” J. Hydrol. 495 (Jul): 135–149. https://doi.org/10.1016/j.jhydrol.2013.04.054.
Pandey, B. K., H. Tiwari, and D. Khare. 2017. “Trend analysis using discrete wavelet transform (DWT) for long-term precipitation (1851–2006) over India.” Hydrol. Sci. J. 62 (13): 2187–2208. https://doi.org/10.1080/02626667.2017.1371849.
Partal, T. 2010. “Wavelet transform-based analysis of periodicities and trends of Sakarya basin (Turkey) streamflow data.” River Res. Appl. 26 (6): 695–711. https://doi.org/10.1002/rra.1264.
Partal, T., and M. Kucuk. 2006. “Long-term trend analysis using discrete wavelet components of annual precipitations measurements in Marmara region (Turkey).” Phys. Chem. Earth. 31 (18): 1189–1200. https://doi.org/10.1016/j.pce.2006.04.043.
Pathak, P., A. Kalra, S. Ahmad, and M. Bernardez. 2016. “Wavelet-aided analysis to estimate seasonal variability and dominant periodicities in temperature, precipitation, and streamflow in the midwestern United States.” Water Resour. Manage. 30 (13): 4649–4665. https://doi.org/10.1007/s11269-016-1445-0.
Petrow, T., and B. Merz. 2009. “Trends in flood magnitude, frequency and seasonality in Germany in the period 1951–2002.” J. Hydrol. 371 (1–4): 129–141. https://doi.org/10.1016/j.jhydrol.2009.03.024.
Polonskii, A. B., D. V. Basharin, E. N. Voskresenskaya, and S. Worley. 2004. “North Atlantic oscillation: Description, mechanisms, and influence on the Eurasian climate.” Phys. Oceanogr. 14 (2): 96–113. https://doi.org/10.1023/B:POCE.0000037873.85289.6e.
Sang, Y. F., V. P. Singh, F. B. Sun, Y. N. Chen, Y. Liu, and M. Y. Yang. 2016. “Wavelet-based hydrological time series forecasting.” J. Hydrol. Eng. 21 (5): 06016001. https://doi.org/10.1061/(ASCE)HE.1943-5584.0001347.
Şarlak, N., E. Kahya, and O. A. Bég. 2009. “Critical drought analysis: Case study of Göksu river (Turkey) and North Atlantic oscillation influences.” J. Hydrol. Eng. 14 (8): 795–802. https://doi.org/10.1061/(ASCE)HE.1943-5584.0000052.
Sayemuzzaman, M., and M. K. Jha. 2014. “Seasonal and annual precipitation time series trend analysis in North Carolina, United States.” Atmos. Res. 137 (Feb): 183–194. https://doi.org/10.1016/j.atmosres.2013.10.012.
Sen, Z. 2002. Data processing methods in statistics. Istanbul, Turkey: Turkish Water Foundation.
Sezen, C., and T. Partal. 2018. “The impacts of Arctic oscillation and the North Sea Caspian pattern on the temperature and precipitation regime in Turkey.” Meteorol. Atmos. Phys. 131 (6): 1677–1696. https://doi.org/10.1007/s00703-019-00665-w.
Shadmani, M., S. Marofi, and M. Roknian. 2012. “Trend analysis in reference evapotranspiration using Mann-Kendall and Spearman’s rho tests in arid regions of Iran.” Water Resour. Manage. 26 (1): 211–224. https://doi.org/10.1007/s11269-011-9913-z.
Sneyers, R. 1990. On the statistical analysis of series of observations. Geneva: World Meteorological Organization.
Tabari, H., and P. H. Talaee. 2011. “Temporal variability of precipitation over Iran: 1966–2005.” J. Hydrol. 396 (3–4): 313–320. https://doi.org/10.1016/j.jhydrol.2010.11.034.
Timbadiya, P. V., A. B. Mirajkar, P. L. Patel, and P. D. Porey. 2013. “Identification of trend and probability distribution for time series of annual peak flow in Tapi basin, India.” ISH J. Hydraul. Eng. 19 (1): 11–20. https://doi.org/10.1080/09715010.2012.739354.
Topaloglu, F. 2006. “Trend detection of streamflow variables in Turkey.” Fresenius Environ. Bull. 15 (7): 644–653.
Toreti, A., and F. Desiato. 2008. “Temperature trend over Italy from 1961 to 2004.” Theor. Appl. Climatol. 91 (1–4): 51–58. https://doi.org/10.1007/s00704-006-0289-6.
Torrence, C., and G. P. Compo. 1998. “A practical guide to wavelet analysis.” Bull. Am. Meteorol. Soc. 79 (1): 61–78. https://doi.org/10.1175/1520-0477(1998)079%3C0061:APGTWA%3E2.0.CO;2.
Tosunoglu, F., and N. H. Kaplan. 2018. “Determination of trends and dominant modes in 7-day annual minimum flows: Additive wavelet transform-based approach.” J. Hydrol. Eng. 23 (12): 05018022. https://doi.org/10.1061/(ASCE)HE.1943-5584.0001710.
Türkeş, M., and E. Erlat. 2018. “Variability and trends in record air temperature events of Turkey and their associations with atmospheric oscillations and anomalous circulation patterns.” Int. J. Climatol. 38 (14): 5182–5204. https://doi.org/10.1002/joc.5720.
Vonesch, C., T. Blu, and M. Unser. 2007. “Generalized Daubechies wavelet families.” IEEE Trans. Signal Process. 55 (9): 4415–4429. https://doi.org/10.1109/TSP.2007.896255.
Wang, W., and J. Ding. 2003. “Wavelet network model and its application to the prediction of hydrology.” Nat. Sci. 1 (1): 67–71.
Yaghmaei, H., S. H. Sadeghi, H. Moradi, and M. Gholamalifard. 2018. “Effect of dam operation on monthly and annual trends of flow discharge in the Qom Rood watershed, Iran.” J. Hydrol. 557 (Feb): 254–264. https://doi.org/10.1016/j.jhydrol.2017.12.039.
Yan, Y., Z. F. Yang, and Q. Liu. 2013. “Nonlinear trend in streamflow and its response to climate change under complex ecohydrological patterns in the Yellow river basin, China.” Ecol. Modell. 252 (Mar): 220–227. https://doi.org/10.1016/j.ecolmodel.2012.05.022.
Yang, X. L., L. R. Xu, K. K. Liu, C. H. Li, J. Hu, and X. H. Xia. 2012. “Trends in temperature and precipitation in the Zhangweinan river basin during the last 53 years.” In Vol. 13 of Proc., 18th Biennial ISEM Conf. on Ecological Modelling for Global Change and Coupled Human and Natural System, 1966–1974. Amsterdam, Netherlands: Elsevier.
Yilmaz, M., and F. Tosunoglu. 2019. “Trend assessment of annual instantaneous maximum flows in Turkey.” Hydrol. Sci. J. 64 (7): 820–834. https://doi.org/10.1080/02626667.2019.1608996.
Yue, S., P. Pilon, B. Phinney, and G. Cavadias. 2002. “The influence of autocorrelation on the ability to detect trend in hydrological series.” Hydrol. Processes 16 (9): 1807–1829. https://doi.org/10.1002/hyp.1095.
Yue, S., and C. Y. Wang. 2004. “The Mann-Kendall test modified by effective sample size to detect trend in serially correlated hydrological series.” Water Resour. Manage. 18 (3): 201–218. https://doi.org/10.1023/B:WARM.0000043140.61082.60.
Zang, C. F., and J. G. Liu. 2013. “Trend analysis for the flows of green and blue water in the Heihe river basin, northwestern China.” J. Hydrol. 502 (Oct): 27–36. https://doi.org/10.1016/j.jhydrol.2013.08.022.
Zhang, Q., C. Y. Xu, T. Jiang, and Y. J. Wu. 2007. “Possible influence of ENSO on annual maximum streamflow of the Yangtze river, China.” J. Hydrol. 333 (2–4): 265–274. https://doi.org/10.1016/j.jhydrol.2006.08.010.

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Journal of Hydrologic Engineering
Volume 25Issue 11November 2020

History

Received: Jul 23, 2019
Accepted: Jun 4, 2020
Published online: Aug 27, 2020
Published in print: Nov 1, 2020
Discussion open until: Jan 27, 2021

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Muhammet Yilmaz [email protected]
Research Scientist, Dept. of Civil Engineering, Faculty of Engineering and Architecture, Erzurum Technical Univ., Erzurum 25200, Turkey (corresponding author). Email: [email protected]
Fatih Tosunoglu [email protected]
Associate Professor, Dept. of Civil Engineering, Faculty of Engineering and Architecture, Erzurum Technical Univ., Erzurum 25200, Turkey. Email: [email protected]
Nur Hüseyin Kaplan [email protected]
Associate Professor, Dept. of Electrical and Electronics Engineering, Faculty of Engineering and Architecture, Erzurum Technical Univ., Erzurum 25200, Turkey. Email: [email protected]

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