541
Views
3
CrossRef citations to date
0
Altmetric
Research Article

Do the Mann-Kendall test and Theil-Sen slope fail to inform trend significance and magnitude in hydrology?

, , &
Pages 1241-1249 | Received 01 Jun 2022, Accepted 23 Mar 2023, Published online: 12 Jun 2023

References

  • Ali, R., et al., 2019. Long-term trends and seasonality detection of the observed flow in Yangtze River using Mann-Kendall and Sen’s innovative trend method. Water, 11, 1855. doi:10.3390/w11091855
  • Bayazit, M. and Önöz, B., 2007. To prewhiten or not to prewhiten in trend analysis? Hydrological Sciences Journal, 52, 611–624. doi:10.1623/hysj.52.4.611
  • Collaud Coen, M., et al., 2020. Effects of the prewhitening method, the time granularity, and the time segmentation on the Mann–Kendall trend detection and the associated Sen’s slope. Atmospheric Measurement Techniques, 13, 6945–6964. doi:10.5194/amt-13-6945-2020
  • Dai, A., et al., 2009. Changes in continental freshwater discharge from 1948 to 2004. Journal of Climate, 22, 2773–2792. doi:10.1175/2008JCLI2592.1
  • Deitch, M.J., Sapundjieff, M.J., and Feirer, S.T., 2017. Characterizing precipitation variability and trends in the world’s Mediterranean-climate areas. Water, 9, 259. doi:10.3390/w9040259
  • Dorey, F.J., 2011. In brief: statistics in brief: statistical power: what is it and when should it be used?. Clinical Orthopaedics and Related Research, 469, 619–620. doi:10.1007/s11999-010-1435-0
  • Ehsanzadeh, E., van der Kamp, G., and Spence, C., 2012. The impact of climatic variability and change in the hydroclimatology of Lake Winnipeg watershed. Hydrological Processes, 26, 2802–2813. doi:10.1002/hyp.8327
  • Ficklin, D.L., Robeson, S.M., and Knouft, J.H., 2016. Impacts of recent climate change on trends in baseflow and stormflow in United States watersheds. Geophysical Research Letters, 43, 5079–5088. doi:10.1002/2016GL069121
  • Hamed, K.H. and Ramachandra Rao, A., 1998. A modified Mann-Kendall trend test for autocorrelated data. Journal of Hydrology, 204, 182–196. doi:10.1016/S0022-1694(97)00125-X
  • Hirsch, R.M., Alexander, R.B., and Smith, R.A., 1991. Selection of methods for the detection and estimation of trends in water quality. Water Resources Research, 27, 803–813. doi:10.1029/91WR00259
  • Hirsch, R.M., Slack, J.R., and Smith, R.A., 1982. Techniques of trend analysis for monthly water quality data. Water Resources Research, 18, 107–121. doi:10.1029/WR018i001p00107
  • Huang, N.E. and Wu, Z., 2008. A review on Hilbert-Huang transform: method and its applications to geophysical studies. Reviews of Geophysics, 46. doi:10.1029/2007RG000228.
  • Kendall, M.G., 1948. Rank correlation methods. London: Charles Griffin.
  • Khaliq, M.N., et al., 2009. Identification of hydrological trends in the presence of serial and cross correlations: a review of selected methods and their application to annual flow regimes of Canadian rivers. Journal of Hydrology, 368, 117–130. doi:10.1016/j.jhydrol.2009.01.035
  • Kulkarni, A. and Von Storch, H., 1995. Monte Carlo experiments on the effect of serial correlation on the Mann-Kendall test of trend. Meteorologische Zeitschrift, 4, 82–85. doi:10.1127/metz/4/1992/82
  • Kumar, A., Sharma, M.P., and Taxak, A.K., 2017. Analysis of water environment changing trend in Bhagirathi tributary of Ganges in India. Desalination and Water Treatment, 63, 55–62. doi:10.5004/dwt.2017.20159
  • Mann, H.B., 1945. Nonparametric tests against trend. Econometrica, 13, 245–259. doi:10.2307/1907187
  • Mu, X., et al., 2012. The runoff declining process and water quality in Songhuajiang River catchment, China under global climatic change. CLEAN – Soil, Air, Water, 40, 394–401. doi:10.1002/clen.201100212
  • Rice, J.S., et al., 2015. Continental U.S. streamflow trends from 1940 to 2009 and their relationships with watershed spatial characteristics. Water Resources Research, 51, 6262–6275. doi:10.1002/2014WR016367
  • Robaa, S. and Al-Barazanji, Z., 2015. Mann-Kendall trend analysis of surface air temperatures and rainfall in Iraq. Idojaras (Budapest, 1905), 119, 493–514.
  • Serinaldi, F. and Kilsby, C.G., 2016. The importance of prewhitening in change point analysis under persistence. Stochastic Environmental Research and Risk Assessment: Research Journal, 30, 763–777. doi:10.1007/s00477-015-1041-5
  • Serinaldi, F., Kilsby, C.G., and Lombardo, F., 2018. Untenable nonstationarity: an assessment of the fitness for purpose of trend tests in hydrology. Advances in Water Resources, 111, 132–155. doi:10.1016/j.advwatres.2017.10.015
  • Trindade, A.L.C., et al., 2016. Tendências temporais e espaciais da qualidade das águas superficiais da sub-bacia do Rio das Velhas, estado de Minas Gerais. Engenharia Sanitaria e Ambiental, 22, 13–24. doi:10.1590/S1413-41522016131457
  • Wang, C. and Zhang, H., 2020. Trend and variance of continental fresh water discharge over the last six decades. Water, 12, 3556. doi:10.3390/w12123556
  • Wang, F., et al., 2020. Re-evaluation of the power of the Mann-Kendall test for detecting monotonic trends in hydrometeorological time series. Frontiers in Earth Science, 8. doi:10.3389/feart.2020.00014.
  • Wang, W., et al., 2013. Quantitative assessment of the impact of climate variability and human activities on runoff changes: a case study in four catchments of the Haihe River basin, China. Hydrological Processes, 27, 1158–1174. doi:10.1002/hyp.9299
  • Wasserstein, R.L., Schirm, A.L., and Lazar, N.A., 2019. Moving to a world beyond “p < 0.05”. The American Statistician, 73, 1–19. doi:10.1080/00031305.2019.1583913
  • Wilcox, R.R., 2001. Fundamentals of modern statistical methods: substantially improving power and accuracy. New York, NY: Springer Science & Business Media. doi:10.1007/978-1-4419-5525-8
  • Yue, S., Pilon, P., and Cavadias, G., 2002. Power of the Mann–Kendall and Spearman’s rho tests for detecting monotonic trends in hydrological series. Journal of Hydrology, 259, 254–271. doi:10.1016/S0022-1694(01)00594-7
  • Zhang, Y., Cabilio, P., Nadeem, K., 2016. Improved seasonal Mann–Kendall tests for trend analysis in water resources time series. In: W.K. Li, D.A. Stanford, and H. Yu, eds. Advances in time series methods and applications: the A. Ian McLeod Festschrift. New York, NY: Springer, 215–229. doi:10.1007/978-1-4939-6568-7_10

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.