Abstract
One of the very important issues in trend search is whether there are partial trends at different positions within a given time series? This point is also not considered frequently in trend analysis studies, because most of the time a monotonic and holistic trend is searched initially in the given time series. However, within the same time series apart from the monotonic trend there may be local trends that may indicate significant changes that may be needed for natural of artificial explanations. For the search of partial trend possibilities within a time series innovative trend approaches explained in the previous chapters are applied with a slight modification for partial trend search.
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References
Alexandersson, H., & Moberg, A. (1997). Homogenization of Swedish temperature data. Part I: homogeneity test for linear trends. International Journal of Climatology, 17, 25–34.
Bayazit, M., & Önöz, B. (2007). To pre-whiten or not to pre-whiten in trend analysis? Hydrological Sciences Journal, 52, 611–624.
Burn, D. H., & Hag Elnur, M. A. (2002). Detection of hydrologic trends and variability. Journal of Hydrology, 255, 107–122.
Chen, T. T., & Xie, L. (2005). Identifying critical focuses in research domains. In Proceedings of 9th International Conference on the Information Visualization (IV’05), London UK, 6–8 July 2005 (pp. 135–142).
Coggin, T.D. (2012). Using econometric methods to test for trends in the HadCRUT3 global and hemispheric data. International Journal of Climatology, 32, 315–320.
Douglas, E. M., Vogel, R. M., & Knoll, C. N. (2000). Trends in floods and low flows in the United States: Impact of spatial correlation. Journal of Hydrology, 240, 90–105.
Gan, T. Y. (1998). Hydro-climatic trends and possible climatic warning in the Canadian Prairies. Water Resources Research, 34(11), 3009–3015.
Hamed, K. H. (2008). Trend detection in hydrologic data: The Mann-Kendall trend test under the scaling hypothesis. Journal of Hydrology, 349, 350–363.
Hamed, K. H., & Rao, A. R. (1998). A modified Mann-Kendall trend test for auto-correlated data. Journal of Hydrology, 204, 182–196.
Karpouzos, D. K., Kavalieratou, S., & Babajimopoulos, C. (2008). Trend analysis in hydro-meteorological data. Technical Report No. 5.4, MEDDMAN, Interreg III B-MEDOCC, Thessaloniki, Greece.
Kendall, M. G. (1975). Rank correlation methods. London, UK: Griffin.
Koenker, R. (2004). Quantile regression for longitudinal data. Journal of Multivariate Analysis, 92, 78–89.
Luo, Y., Shen, L., Fu, S., Liu, J., Wang, G., & Zhou, G. (2007). Trends of precipitation in Beijiang River Basin. Guangdong Province, China. Hydrological Processes, 22(13), 2377–2386.
Mann, H. B. (1945). Nonparametric tests against trend. Econometrica, 13, 245–259.
Modarres, R., & da Silva, V. P. R. (2007). Rainfall trends in arid and semi-arid regions of Iran. Journal of Arid Environments, 70, 344–355.
Mosmann, V., Castro, A., Fraile, R., Dessens, J., & Sanchez, J. L. (2004). Detection of statistically significant trends in the summer precipitation of mainland Spain. Atmospheric Research, 70, 43–53.
Nalley, D., Adamowski, J., Khalil, B., & Ozga-Zielinski, B. (2013). Trend detection in surface air temperature in Ontario and Quebec, Canada during 1967–2006 using the discrete wavelet transform. Atmospheric Research, 132, 375–398.
Thomas, B.F., & Timothy, J.V. (2002). The Application of Size-Robust Trend Statistics to Global-Warming Temperature Series. Journal of Climate, 15, 117–123.
Sen, P.K. (1968). Estimates of the regression coefficient based on Kendall’s tau. Journal of the American Statistical Association, 63, 1379–1389.
Şen, Z. (2012). Innovative trend analysis methodology. ASCE, Journal of Hydrologic Engineering, 17, 1042–1046.
Şen, Z. (2014). Trend Identification Simulation and Application. ASCE, Journal of Hydrologic Engineering, 19, 635–642.
Ventura, F., Pisa, P. Rossi, & Ardizzoni, E. (2002). Temperature and precipitation trends in Bologna (Italy) from 1952 to 1999. Atmospheric Research, 61, 203–214.
Wayne, A.W., & Gray, H.L. (1995). Selecting a Model for Detecting the Presence of a Trend. Journal of Climate, 8, 1929–1937.
Yue, S., & Wang, C. Y. (2004). The Mann-Kendall test modified by effective sample size to detect trend in serially correlated hydrological series. Water Resources Management, 18, 201–218.
Yue, S., Pilon, P., & Cavadias, G. (2002). Power of the Mann-Kendall test and Spearman’s rho test for detecting monotonic trends in hydrological time series. Journal of Hydrology, 259(1–4), 254–271.
Yue, S., Pilon, P., & Phinney, B. (2003). Canadian streamflow trend detection: Impacts of serial and cross correlation. Hydrological Sciences Journal, 48(1), 51–63.
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Şen, Z. (2017). Partial Trend Detection. In: Innovative Trend Methodologies in Science and Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-52338-5_8
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DOI: https://doi.org/10.1007/978-3-319-52338-5_8
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