Abstract
The main purpose of this study was to determine the most dominant periodic components that affect the annual and seasonal precipitation trends in each homogenous rainfall region in the Langat River Basin, Malaysia for the period 1982–2011. Performing this research could be essential because in the previous studies on detection of trend in Malaysia, the details of variations of different time scales and the periodic responsible for the observed trends were not investigated. Using discrete wavelet transform (DWT) coupled with Mann–Kendall at the regional scale for the first time particularly in the context of Malaysia is the contribution of this study. In order to form the homogenous rainfall regions, first the total annual and seasonal precipitation in each year was spatialized into 5 km × 5 km grids using the inverse distance weighting method. The obtained precipitation series for the grids were then grouped applying the Ward’s clustering method based on the similarity of precipitation time series. After allocating a cluster number to each grid, the boundary of the regions was formed in ArcGIS software. Following which, in each homogenous region the areal precipitation series were computed by the Thiessen polygon method. The Mann–Kendall (MK) test was used to detect trend and the DWT coupled with the MK test and the sequential MK analysis were then utilized in order to find out the time scale which affected the observed trend in each homogenous region. On annual scale, it was found that D1 (plus approximation) component in regions Annual Cluster1 (AC1) and AC2 was the periodic mode responsible for trends. On seasonal scale, in regions Northeast monsoon Cluster 1 (NC1), NC3, SC1 and Southwest monsoon Cluster 2 (SC2), D1 (with approximation), in regions NC4, Inter monsoon 1 Cluster 1 (I1C1), I1C2, Inter monsoon 2 Cluster 1 I2C1 and I2C2, Detail 2 (D2) (plus approximation) and in region NC2, Detail 3 (D3) (with approximation added) component were the most influential periodicity for trends.
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References
Adamowski K, Bocci C (2001) Geostatistical regional trend detection in river flow data. Hydrol Process 15:3331–3341. doi:10.1002/hyp.1045
Adamowski K, Bougadis J (2003) Detection of trends in annual extreme rainfall. Hydrol Process 17:3547–3560. doi:10.1002/hyp.1353
Aggarwal CC (2015) Data mining. Springer, New York
Ahani H, Kherad M, Kousari MR et al (2012) An investigation of trends in precipitation volume for the last three decades in different regions of Fars province, Iran. Theor Appl Climatol 109:361–382. doi:10.1007/s00704-011-0572-z
Bari Abarghouei H, Asadi Zarch MA, Dastorani MT et al (2011) The survey of climatic drought trend in Iran. Stoch Environ Res Risk Assess 25:851–863. doi:10.1007/s00477-011-0491-7
Basistha A, Arya D, Goel N (2009) Analysis of historical changes in rainfall in the Indian Himalayas. Int J Climatol 29:555–572. doi:10.1002/joc.1706
Becker S, Gemmer M, Jiang T (2006) Spatiotemporal analysis of precipitation trends in the Yangtze River catchment. Stoch Environ Res Risk Assess 20:435–444. doi:10.1007/s00477-006-0036-7
Birsan MV, Molnar P, Burlando P, Pfaundler M (2005) Streamflow trends in Switzerland. J Hydrol 314:312–329. doi:10.1016/j.jhydrol.2005.06.008
Bonaccorso B, Cancelliere A, Rossi G et al (2005) Detecting trends of extreme rainfall series in Sicily. Adv Geosci 2:7–11
Burn DH, Hag Elnur MA (2002) Detection of hydrologic trends and variability. J Hydrol 255:107–122
Burn DH, Sharif M, Zhang K (2010) Detection of trends in hydrological extremes for Canadian watersheds. Hydrol Process 24:1781–1790. doi:10.1002/hyp.7625
Caloiero T, Coscarelli R, Ferrari E, Mancini M (2011) Trend detection of annual and seasonal rainfall in Calabria (Southern Italy). Int J Climatol 31:44–56. doi:10.1002/joc.2055
Cannarozzo M, Noto LV, Viola F (2006) Spatial distribution of rainfall trends in Sicily (1921–2000). Phys Chem Earth Parts A/B/C 31:1201–1211. doi:10.1016/j.pce.2006.03.022
Chau KW, Wu CL (2010) A hybrid model coupled with singular spectrum analysis for daily rainfall prediction. J Hydroinformat 12:458. doi:10.2166/hydro.2010.032
Cheung WH, Senay GB, Singh A (2008) Trends and spatial distribution of annual and seasonal rainfall in Ethiopia. Int J Climatol 28:1723–1734
Chou C (2007) Applying multi-resolution analysis to differential hydrological grey models with dual series. J Hydrol 332:174–186. doi:10.1016/j.jhydrol.2006.06.031
Chouakria AD, Nagabhushan PN (2007) Adaptive dissimilarity index for measuring time series proximity. Adv Data Anal Classif 1:5–21. doi:10.1007/s11634-006-0004-6
Cunderlik J, Burn D (2004) Linkages between regional trends in monthly maximum flows and selected climatic variables. J Hydrol Eng 9:246–256
Daubechies I (1992) Ten lectures on wavelets. Society for Industrial and Applied Mathematics, Philadelphia
de Artigas MZ, Elias AG, de Campra PF (2006) Discrete wavelet analysis to assess long-term trends in geomagnetic activity. Phys Chem Earth Parts A/B/C 31:77–80. doi:10.1016/j.pce.2005.03.009
de Lima MIP, Carvalho SCP, de Lima JLMP (2010) Investigating annual and monthly trends in precipitation structure: an overview across Portugal. Nat Hazards Earth Syst Sci 10:2429–2440. doi:10.5194/nhess-10-2429-2010
Department of Irrigation and Drainage Malaysia (2012) Hydrological data: rainfall records for West Malaysia 1970–2012 [Data file]. Water Resources Management and Hydrology Division
Déry SJ, Wood EF (2005) Decreasing river discharge in northern Canada. Geophys Res Lett 32:L10401
Douglas E, Vogel R, Kroll C (2000) Trends in floods and low flows in the United States: impact of spatial correlation. J Hydrol 240:90–105
Estrada F, Martínez-Arroyo A, Fernández-Eguiarte A et al (2009) Defining climate zones in México City using multivariate analysis. Atmósfera 22:175–193
Everitt BS, Landau S, Leese M (2001) Cluster analysis. Wiley, Chichester
Faulon JL, Bender A (2010) Handbook of Chemoinformatics algorithms, illustrate. CRC Press, Boca Raton
Fovell RG, Fovell MYC (1993) Climate zones of the conterminous United States defined using cluster analysis. J Clim 6:2103–2135. doi:10.1175/1520-0442(1993)006<2103:CZOTCU>2.0.CO;2
Gabor D (1946) Theory of communication. Part 1: the analysis of information. Electr Eng Part III Radio Commun Eng J Inst 93:429–441. doi:10.1049/ji-3-2.1946.0074
Halkidi M, Batistakis Y, Vazirgiannis M (2001) On clustering validation techniques. J Intell Inf Syst 17:107–145
Hamed KH (2008) Trend detection in hydrologic data: the Mann–Kendall trend test under the scaling hypothesis. J Hydrol 349:350–363
Hamed K, Rao AR (1998) A modified Mann–Kendall trend test for autocorrelated data. J Hydrol 204:182–196. doi:10.1016/S0022-1694(97)00125-X
Helsel DR, Hirsch RM (1992) Statistical methods in water resources. Elsevier, Amsterdam
Hirsch RM, Slack JR (1984) A nonparametric trend test for seasonal data with serial dependence. Water Resour Res 20:727–732. doi:10.1029/WR020i006p00727
Iván G, Szabadka Z, Grolmusz V (2010) A hybrid clustering of protein binding sites. FEBS J 277:1494–1502. doi:10.1111/j.1742-4658.2010.07578.x
Iyigun C, Türkeş M, Batmaz İ et al (2013) Clustering current climate regions of Turkey by using a multivariate statistical method. Theor Appl Climatol 114:95–106. doi:10.1007/s00704-012-0823-7
Jain AK, Dubes RC (1988) Algorithms for clustering data. Prentice Hall PTR, Upper Saddle
Jardine N, Sibson R (1971) Mathematical Taxonomy. Wiley, New York
Kallache M, Rust HW, Kropp J (2005) Trend assessment: applications for hydrology and climate research. Nonlinear Process Geophys 12:201–210
Karpouzos D, Kavalieratou S, Babajimopoulos C (2010) Trend analysis of precipitation data in Pieria Region (Greece). Eur Water 30:31–40
Kebaili Bargaoui Z, Chebbi A (2009) Comparison of two kriging interpolation methods applied to spatiotemporal rainfall. J Hydrol 365:56–73. doi:10.1016/j.jhydrol.2008.11.025
Kendall MG (1975) Rank correlation methods. Charles Griffin, London
Khalili K, Tahoudi MN, Mirabbasi R, Ahmadi F (2015) Investigation of spatial and temporal variability of precipitation in Iran over the last half century. Stoch Environ Res Risk Assess. doi:10.1007/s00477-015-1095-4
Kim S (2004) Wavelet analysis of precipitation variability in northern California, USA. KSCE J Civ Eng 8:471–477. doi:10.1007/BF02829169
Kisi O, Cimen M (2011) A wavelet-support vector machine conjunction model for monthly streamflow forecasting. J Hydrol 399:132–140. doi:10.1016/j.jhydrol.2010.12.041
Lee DTL, Yamamoto A (1994) Wavelet analysis: theory and applications. Hewlett Packard J 45:44
Lloyd CD (2005) Assessing the effect of integrating elevation data into the estimation of monthly precipitation in Great Britain. J Hydrol 308:128–150. doi:10.1016/j.jhydrol.2004.10.026
López-Moreno JI, Vicente-Serrano SM, Angulo-Martínez M et al (2009) Trends in daily precipitation on the northeastern Iberian Peninsula, 1955–2006. Int J Climatol 1041:1026–1041. doi:10.1002/joc.1945
Lu GY, Wong DW (2008) An adaptive inverse-distance weighting spatial interpolation technique. Comput Geosci 34:1044–1055
Malaysia Meteorological Department (2012) Rainfall records for Selangor State Malaysia 1970–2012 [Data file]. Record unit
Mallat S (1989) A theory for multiresolution signal decomposition: the wavelet representation. Pattern Anal Mach Intell IEEE Trans 11:674–693
Mann HB (1945) Nonparametric tests against trend. Econom J Econom Soc 13:245–259
Miao L, Jun X, Dejuan M (2012) Long-term trend analysis of seasonal precipitation for Beijing, China. J Resour Ecol 3:64–72. doi:10.5814/j.issn.1674-764x.2012.01.010
Miller WP, Piechota TC (2008) Regional analysis of trend and step changes observed in hydroclimatic variables around the Colorado River Basin. J Hydrometeorol 9:1020–1034. doi:10.1175/2008JHM988.1
Misiti M, Misiti Y (1996) Wavelet toolbox. The MathWorks Inc, Natick
Modarres R, da Silva VDPR (2007) Rainfall trends in arid and semi-arid regions of Iran. J Arid Environ 70:344–355. doi:10.1016/j.jaridenv.2006.12.024
Mohsin T, Gough WA (2009) Trend analysis of long-term temperature time series in the Greater Toronto Area (GTA). Theor Appl Climatol 101:311–327. doi:10.1007/s00704-009-0214-x
Nalley D, Adamowski J, Khalil B (2012) Using discrete wavelet transforms to analyze trends in streamflow and precipitation in Quebec and Ontario (1954–2008). J Hydrol 475:204–228. doi:10.1016/j.jhydrol.2012.09.049
Niu J (2013) Precipitation in the Pearl River basin, South China: scaling, regional patterns, and influence of large-scale climate anomalies. Stoch Environ Res Risk Assess 27:1253–1268. doi:10.1007/s00477-012-0661-2
Nolin AW, Hall-McKim EA (2006) Frequency modes of monsoon precipitation in Arizona and New Mexico. Mon Weather Rev 134:3774–3781. doi:10.1175/MWR3244.1
Novotny EV, Stefan HG (2007) Stream flow in Minnesota: indicator of climate change. J Hydrol 334:319–333. doi:10.1016/j.jhydrol.2006.10.011
Oguntunde PG, Abiodun BJ, Lischeid G (2011) Rainfall trends in Nigeria, 1901–2000. J Hydrol 411:207–218. doi:10.1016/j.jhydrol.2011.09.037
Palizdan N, Falamarzi Y, Huang YF et al (2013) Regional precipitation trend analysis at the Langat River Basin, Selangor, Malaysia. Theor Appl Climatol 117:589–606. doi:10.1007/s00704-013-1026-6
Partal T (2010) Wavelet transform-based analysis of periodicities and trends of Sakarya basin (Turkey) streamflow data. River Res Appl 26:695–711
Partal T, Kahya E (2006) Trend analysis in Turkish precipitation data. Hydrol Process 20:2011–2026. doi:10.1002/hyp.5993
Partal T, Küçük M (2006) Long-term trend analysis using discrete wavelet components of annual precipitations measurements in Marmara region (Turkey). Phys Chem Earth Parts A/B/C 31:1189–1200. doi:10.1016/j.pce.2006.04.043
Percival DB (2008) Analysis of geophysical time series using discrete wavelet transforms: an overview. In: Donner RV, Barbosa SM (eds) Nonlinear time series analysis in the geosciences, illustrate. Springer, Berlin, pp 61–79
Santos C, Galvão C (2001) Matsuyama city rainfall data analysis using wavelet transform. Ann J Hydraul Engng 45:211–216. doi:10.2208/prohe.45.211
Sen PK (1968) Estimates of the regression coefficient based on Kendall’s tau. J Am Stat Assoc 63:1379–1389
Serrano A, Mateos VL, Garcia JA (1999) Trend analysis of monthly precipitation over the iberian peninsula for the period 1921–1995. Phys Chem Earth Part B Hydrol Ocean Atmos 24:85–90
Sneyers R (1990) On the statistical analysis of series of observations. Secretariat of the World Meteorological Organization, Geneva
Suhaila J, Deni S, Zin W, Jemain A (2010) Trends in peninsular Malaysia rainfall data during the Southwest Monsoon and Northeast Monsoon Seasons: 1975–2004. Sains Malays 39:533–542
Tabari H, Talaee PH (2011) Temporal variability of precipitation over Iran: 1966–2005. J Hydrol 396:313–320. doi:10.1016/j.jhydrol.2010.11.034
Tabari H, Taye MT, Willems P (2015a) Statistical assessment of precipitation trends in the upper Blue Nile River basin. Stoch Environ Res Risk Assess. doi:10.1007/s00477-015-1046-0
Tabari H, Taye MT, Willems P (2015b) Statistical assessment of precipitation trends in the upper Blue Nile River basin. Stoch Environ Res Risk Assess. doi:10.1007/s00477-015-1046-0
Tangang FT, Juneng L, Ahmad S (2006) Trend and interannual variability of temperature in Malaysia: 1961–2002. Theor Appl Climatol 89:127–141. doi:10.1007/s00704-006-0263-3
Torrence C, Compo G (1998) A practical guide to wavelet analysis. Bull Am Meteorol Soc 79:61–78
Unal Y, Kindap T, Karaca M (2003) Redefining the climate zones of Turkey using cluster analysis. Int J Climatol 23:1045–1055. doi:10.1002/joc.910
Wang W, Chau K, Qiu L, Chen Y (2015) Improving forecasting accuracy of medium and long-term runoff using artificial neural network based on EEMD decomposition. Environ Res 139:46–54. doi:10.1016/j.envres.2015.02.002
Ward JH Jr (1963) Hierarchical grouping to optimize an objective function. J Am Stat Assoc 58:236–244
Wong CL, Venneker R, Uhlenbrook S et al (2009) Variability of rainfall in Peninsular Malaysia. Hydrol Earth Syst Sci Discuss 6:5471–5503
Wu CL, Chau KW, Li YS (2009) Methods to improve neural network performance in daily flows prediction. J Hydrol 372:80–93. doi:10.1016/j.jhydrol.2009.03.038
Xu R, Wunsch D (2009) Clustering. Wiley, Hoboken
Xu J, Chen Y, Li W et al (2010) 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. doi:10.1007/s00477-010-0433-9
Xu J, Chen Y, Li W et al (2013) The nonlinear hydro-climatic process in the Yarkand River, northwestern China. Stoch Environ Res Risk Assess 27:389–399. doi:10.1007/s00477-012-0606-9
Yang T, Xu CY, Shao QX et al (2010) Temporal and spatial patterns of low-flow changes in the Yellow River in the last half century. Stoch Environ Res Risk Assess 24:297–309. doi:10.1007/s00477-009-0318-y
Yue S, Hashino M (2003) Long term trends of annual and monthly precipitation in Japan1. JAWRA J Am Water Resour Assoc 39:587–596
Yue S, Pilon P (2004) A comparison of the power of the t test, Mann–Kendall and bootstrap tests for trend detection. Hydrol Sci J 49:21–37
Yue S, Pilon P, Phinney B, Cavadias G (2002) The influence of autocorrelation on the ability to detect trend in hydrological series. Hydrol Process 16:1807–1829. doi:10.1002/hyp.1095
Yue S, Pilon P, Phinney B (2003) Canadian streamflow trend detection: impacts of serial and cross-correlation. Hydrol Sci J 48:51–63. doi:10.1623/hysj.48.1.51.43478
Zhang X, Harvey KD, Hogg WD, Yuzyk TR (2001) Trends in Canadian streamflow. Water Resour Res 37:987–998
Zoubi MDBA, Rawi MA (2008) An efficient approach for computing silhouette coefficients. J Comput Sci 4:252
Zume JT, Tarhule A (2006) Precipitation and streamflow variability in northwestern Oklahoma, 1894–2003. Phys Geogr 27:189–205
Acknowledgments
The authors would like to sincerely thank the Ministry of Science, Technology and Innovation (MOSTI) for the financial support given for the research project entitled “Modeling Water Resources and Storm Water Management Strategies for Large Scale Dual-Function Rainwater Tanks Incorporating Climate Change and Urbanization Scenarios”. The authors would also like to express their appreciations to the Hydrology Division, Department of Irrigation and Drainage (DID) at Ampang, Selangor and the Malaysian Meteorology Department (MMD) at Petaling Jaya, both under the Ministry of Natural Resources and Environment (NRE) for the provision of the climatic data.
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Palizdan, N., Falamarzi, Y., Huang, Y.F. et al. Precipitation trend analysis using discrete wavelet transform at the Langat River Basin, Selangor, Malaysia. Stoch Environ Res Risk Assess 31, 853–877 (2017). https://doi.org/10.1007/s00477-016-1261-3
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DOI: https://doi.org/10.1007/s00477-016-1261-3