Case Studies
Mar 30, 2018

Regional Frequency Analysis of Precipitation Using Time Series Clustering Approaches

Publication: Journal of Hydrologic Engineering
Volume 23, Issue 6

Abstract

A regional frequency analysis using L-moments was performed with time series clustering approaches to identify homogeneous regions using dynamic data sets in Northern Cyprus. In this context, the conventional approach, based on station characteristics and different time series clustering approaches, classified as shape-based, feature-based, and model-based, were compared. Hierarchical Ward’s method with the correlation-based similarity measure of the feature-based approach was determined as the best method regarding the results of the jackknife validation procedure, which was performed for assessment of clustering approach uncertainty. Therefore, the cluster analysis ended up with five homogeneous subregions, and according to the goodness-of-fit measure, the Pearson Type III, generalized logistic, and generalized normal distributions were chosen as the best fit for different subregions. The accuracy of the estimated quantiles was evaluated through Monte Carlo simulations and, consequently, the quantiles for different return periods were estimated, which demonstrated spatial consistency in terms of increasing trend from the low-lying Mesaoria Plain toward the north coastal strip, including the Kyrenia Mountains and the Karpass Peninsula.

Get full access to this article

View all available purchase options and get full access to this article.

References

Aghabozorgi, S., Seyed Shirkhorshidi, A., and Ying Wah, T. (2015). “Time-series clustering: A decade review.” Inf. Syst., 53, 16–38.
Alobaidi, M. H., Marpu, P. R., Ouarda, T. B., and Chebana, F. (2015). “Regional frequency analysis at ungauged sites using a two-stage resampling generalized ensemble framework.” Adv. Water Resour., 84, 103–111.
Bagnall, A., and Janacek, G. (2005). “Clustering time series with clipped data.” Mach. Learn., 58(2–3), 151–178.
Berndt, D., and Clifford, J. (1994). “Using dynamic time warping to find patterns in time series.” AAAI-94 Workshop on Knowledge Discovery in Databases, AAAI, Palo Alto, CA, 359–370.
Castellarin, A., Burn, D., and Brath, A. (2001). “Assessing the effectiveness of hydrological similarity measures for flood frequency analysis.” J. Hydrol., 241(3–4), 270–285.
Charrad, M., Ghazzali, N., Boiteau, V., and Niknafs, A. (2014). “NbClust: An R package for determining the relevant number of clusters in a data set.” J. Stat. Software, 61(6), 1–36.
Chen, Y. D., Zhang, Q., Xiao, M., Singh, V. P., Leung, Y., and Jiang, L. (2014). “Precipitation extremes in the Yangtze River Basin, China: Regional frequency and spatial–temporal patterns.” Theor. Appl. Climatol., 116(3–4), 447–461.
Chiang, S.-M., Tsay, T.-K., and Nix, S. J. (2002). “Hydrologic regionalization of watersheds. I: Methodology development.” J. Water Resour. Plann. Manage., 3–11.
Corduas, M. (2011). “Clustering streamflow time series for regional classification.” J. Hydrol., 407(1), 73–80.
Dalrymple, T. (1960). “Flood frequency analysis.”, U.S. Geological Survey, Reston, VA, 80.
Everitt, B. S., Landau, S., Leese, M., and Stahl, D. (2011). Cluster analysis, 5th Ed., Wiley, Chichester, U.K.
Fowler, H. J., and Kilsby, C. G. (2003). “A regional frequency analysis of United Kingdom extreme rainfall from 1961 to 2000.” Int. J. Climatol., 23(11), 1313–1334.
Golay, X., Kollias, S., Stoll, G., Meier, D., Valavanis, A., and Boesiger, P. (1998). “A new correlation-based fuzzy logic clustering algorithm for FMRI.” Magn. Reson. Med., 40(2), 249–260.
Hailegeorgis, T. T., Thorolfsson, S. T., and Alfredsen, K. (2013). “Regional frequency analysis of extreme precipitation with consideration to uncertainties to update IDF curves for the city of Trondheim.” J. Hydrol., 498, 305–318.
Hong-fa, W. (2012). “Clustering of hydrological time series based on discrete wavelet transform.” Phys. Procedia, 25, 1966–1972.
Hosking, J. R. (1990). “L-moments: Analysis and estimation of distributions using linear combinations of order statistics.” J. R. Stat. Soc. Ser. B, 52, 105–124.
Hosking, J. R. M., and Wallis, J. R. (2005). Regional frequency analysis: An approach based on L-moments, Cambridge University Press, New York.
IPCC (Intergovernmental Panel on Climate Change) (2014). Climate change 2014: Impacts, adaptation and vulnerability: Regional aspects, Cambridge University Press, New York.
Jingyi, Z., and Hall, M. J. (2004). “Regional flood frequency analysis for Gan-Ming river basin in China.” J. Hydrol., 296(1–4), 98–117.
Kalpakis, K., Gada, D., and Puttagunta, V. (2001). “Distance measures for effective clustering of ARIMA time-series.” Proc., IEEE Int. Conf. on Data Mining, IEEE, New York, 273–280.
Kjeldsen, T. R., Smithers, J. C., and Schulze, R. E. (2002). “Regional flood frequency analysis in the KwaZulu-Natal province, South Africa, using the index-flood method.” J. Hydrol., 255(1), 194–211.
Kostopoulou, E., and Jones, P. D. (2007). “Comprehensive analysis of the climate variability in the eastern Mediterranean. Part I: Map-pattern classification.” Int. J. Climatol., 27(9), 1189–1214.
Landwehr, J. M., Matalas, N. C., and Wallis, J. R. (1979). “Probability weighted moments compared with some traditional techniques in estimating Gumbel parameters and quantiles.” Water Resour. Res., 15(5), 1055–1064.
Liao, T. W. (2005). “Clustering of time series data: A survey.” Pattern Recognit., 38(11), 1857–1874.
Lin, J., Keogh, E., Wei, L., and Lonardi, S. (2007). “Experiencing SAX: A novel symbolic representation of time series.” Data Min. Knowl. Discovery, 15(2), 107–144.
Maharaj, E. A. (2000). “Cluster of time series.” J. Classification, 17(2), 297–314.
Merz, R., and Blöschl, G. (2005). “Flood frequency regionalization: Spatial proximity vs. catchment attributes.” J. Hydrol., 302(1), 283–306.
Michaelides, S. C., Tymvios, F. S., and Michaelidou, T. (2009). “Spatial and temporal characteristics of the annual rainfall frequency distribution in Cyprus.” Atmos. Res., 94(4), 606–615.
Miller, R. G. (1964). “A trustworthy jackknife.” Ann. Math. Stat., 35(4), 1594–1605.
Mitsa, T. (2010). Temporal data mining, Chapman and Hall, Boca Raton, FL.
Montero, P., and Vilar, J. (2014). “TSclust: An R package for time series clustering.” J. Stat. Software, 62(1), 1–43.
Nathan, R. J., and McMahon, T. A. (1990). “Identification of homogeneous regions for the purposes of regionalisation.” J. Hydrol., 121(1–4), 217–238.
Nikolakis, D. (2008). “A statistical study of precipitation in Cyprus.” Hellenic J. Geosci., 43, 67–74.
Piccolo, D. (1990). “A distance measure for classifying ARIMA models.” J. Time Ser. Anal., 11(2), 153–164.
Pinto, J. G., Ulbrich, U., and Speth, P. (1999). “The variability of cyclonic activity in the Mediterranean area in the last 40 years and its impact on precipitation.” Proc., 1st EGS Plinius Conf., Bios Publisher, Cosenza, Italy, 29–40.
Satyanarayana, P., and Srinivas, V. V. (2008). “Regional frequency analysis of precipitation using large-scale atmospheric variables.” J. Geophys. Res., 113, D24110.
Shao, J., and Tu, D. (1995). The jackknife and bootstrap, Springer, New York.
Sivakumar, B., and Singh, V. P. (2012). “Hydrologic system complexity and nonlinear dynamic concepts for a catchment classification framework.” Hydrol. Earth Syst. Sci., 16(11), 4119–4131.
Smit, B., Burton, I., Klein, R. J., and Wandel, J. (2000). “An anatomy of adaptation to climate change and variability.” Clim. Change, 45(1), 223–251.
Smith, L. C., Turcotte, D. L., and Isacks, B. L. (1998). “Stream flow characterization and feature detection using a discrete wavelet transform.” Hydrol. Process., 12(2), 233–249.
Snelder, T. H., Biggs, B. J. F., and Woods, R. A. (2005). “Improved ecohydrological classification of rivers.” River Res. Appl., 21(6), 609–628.
Srikanthan, R., and MacMahon, T. A. (1981). “Log pearson type 3 distribution effect of dependence, distribution parameters and sample size on peak annual flood estimates.” J. Hydrol., 52, 815–826.
Stooksbury, D. E., and Michaels, P. J. (1991). “Cluster analysis of southeastern US climate stations.” Theor. Appl. Climatol., 44(3–4), 143–150.
Tongal, H., and Sivakumar, B. (2017). “Cross-entropy clustering framework for catchment classification.” J. Hydrol., 552, 433–446.
Wang, X., Smith, K., and Hyndman, R. (2006). “Characteristic-based clustering for time series data.” Data Min. Knowl. Discovery, 13(3), 335–364.
Wang, Z., Zeng, Z., Lai, C., Lin, W., Wu, X., and Chen, X. (2017). “A regional frequency analysis of precipitation extremes in Mainland China with fuzzy c-means and L-moments approaches.” Int. J. Climatol., 37(S1), 429–444.
Ward, J. H. (1963). “Hierarchical groupings to optimize an objective function.” J. Am. Stat. Assoc., 58(301), 236–244.
Wazneh, H., Chebana, F., and Ouarda, T. B. M. J. (2015). “Delineation of homogeneous regions for regional frequency analysis using statistical depth function.” J. Hydrol., 521, 232–244.
Yang, T., et al. (2010). “Regional frequency analysis and spatio-temporal pattern characterization of rainfall extremes in the Pearl River Basin, China.” J. Hydrol., 380(3), 386–405.
Zhang, H., Ho, T. B., Zhang, Y., and Lin, M. S. (2006). “Unsupervised feature extraction for time series clustering using orthogonal wavelet transform.” Informatica, 30(3), 305–319.

Information & Authors

Information

Published In

Go to Journal of Hydrologic Engineering
Journal of Hydrologic Engineering
Volume 23Issue 6June 2018

History

Received: May 4, 2017
Accepted: Nov 21, 2017
Published online: Mar 30, 2018
Published in print: Jun 1, 2018
Discussion open until: Aug 30, 2018

Permissions

Request permissions for this article.

Authors

Affiliations

H. Zaifoglu [email protected]
Ph.D. Candidate, Dept. of Civil Engineering, Middle East Technical Univ., Cankaya, Ankara 06800, Turkey. E-mail: [email protected]
Assistant Professor, Civil Engineering Program, Middle East Technical Univ., Northern Cyprus Campus, Kalkanlı, Guzelyurt, Mersin 10, 99738, Turkey (corresponding author). E-mail: [email protected]
A. M. Yanmaz [email protected]
Professor, Dept. of Civil Engineering, Middle East Technical Univ., Cankaya, Ankara 06800, Turkey. E-mail: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share