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An Extended Singular Spectrum Transformation (Sst) for the Investigation of Kenyan Precipitation Data : Volume 20, Issue 4 (12/07/2013)

By Itoh, N.

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Book Id: WPLBN0003989624
Format Type: PDF Article :
File Size: Pages 15
Reproduction Date: 2015

Title: An Extended Singular Spectrum Transformation (Sst) for the Investigation of Kenyan Precipitation Data : Volume 20, Issue 4 (12/07/2013)  
Author: Itoh, N.
Volume: Vol. 20, Issue 4
Language: English
Subject: Science, Nonlinear, Processes
Collections: Periodicals: Journal and Magazine Collection (Contemporary), Copernicus GmbH
Publication Date:
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications


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Itoh, N., & Marwan, N. (2013). An Extended Singular Spectrum Transformation (Sst) for the Investigation of Kenyan Precipitation Data : Volume 20, Issue 4 (12/07/2013). Retrieved from

Description: University of Potsdam Interdisciplinary Center for Dynamics of Complex Systems (DYCOS), Campus Golm, Building 14 Karl-Liebknecht-Str. 24, 14476, Potsdam, Germany. In this paper a change-point detection method is proposed by extending the singular spectrum transformation (SST) developed as one of the capabilities of singular spectrum analysis (SSA). The method uncovers change points related with trends and periodicities. The potential of the proposed method is demonstrated by analysing simple model time series including linear functions and sine functions as well as real world data (precipitation data in Kenya). A statistical test of the results is proposed based on a Monte Carlo simulation with surrogate methods. As a result, the successful estimation of change points as inherent properties in the representative time series of both trend and harmonics is shown. With regards to the application, we find change points in the precipitation data of Kenyan towns (Nakuru, Naivasha, Narok, and Kisumu) which coincide with the variability of the Indian Ocean Dipole (IOD) suggesting its impact of extreme climate in East Africa.

An extended singular spectrum transformation (SST) for the investigation of Kenyan precipitation data

Ashok, K., Guan, Z., and Yamagata, T.: Impact of the Indian Ocean Dipole on the relationship between the Indian Monsoon rainfall and ENSO, Geophys. Res. Lett, 26, 4499–4502, 2001.; Basseville, M. and Nikiforov, I.: Detection of abrupt changes, theory and application, Englewood Cliffs NJ, Prentice-Hall, 1993.; Behera, S. K., Luo, J. J., Masson, S., Delecluse, P., Gualdi, S., Navarra, A., and Yamagata, T.: Paramount impact of the Indian Ocean Dipole on the East African short rains : a CGCM study, J. Climate, 18, 4514–4530, 2005.; Bishop, C. M.: Pattern recognition and machine learning, Springer, 738 pp., 2007.; Björnsson, H. and Venegas, S. A.: A manual for EOF and SVD analyses of climate data, Centre for Climate and Global Change Research, Rep. 97, 53 pp., 1997.; Brockwell, P. J. and Davis, R. A.: Time series: theory and methods, Springer, 584 pp., 1991.; Brockwell, P. J. and Davis, R. A.: Introduction to time series and forecasting, Springer, 434 pp., 2002.; Elsner, J. B. and Tsonis, A. A.: Singular Spectrum Analysis, A New Tool in Time Series Analysis, Plenum Press, 164 pp., 1996.; Di Bello, G., Lapenna, V., Macchiato, M., Satriano, C., Serio, C. and Tramutoli, V.: Parametric time series analysis of geoelectrical signals: an application to earthquake forecasting in Southern Italy, Ann. Geofis., 39, 11–21, 1996.; Flohn, H.: Rainfall teleconnections in northern and northeastern Africa, Theor. Appl. Climatol., 38, 191–197, 1987.; Ghil, M., Allen, M. R., Dettinger, M. D., Ide, K., Kondrashov, D., Mann, M. E., Robertson, A. W., Saunders, A., Tian, Y., Varadi, F., and Yiou, P.: Advanced spectral methods for climatic time series, Rev. Geophys., 40, 3.1–3.41, doi:10.1029/2000RG000092, 2002.; Golyandina, N., Nekrutkin, V., and Zhigljavsky, A.: Analysis of time series structure, SSA and related techniques, Chapman & Hall/CRC, Boca Raton, London, New York, and Washington DC, 305 pp., 2001.; Hassani, H.: Singular spectrum analysis: methodology and comparison, J. Data Sci., 5, 239–257, 2007.; Idé, T.: Speeding up change-point detection using matrix compression, 2006 Workshop on Information-Based Induction Science, Osaka, Japan, October–November 2006, 31, 2006.; Idé, T. and Inoue, K.: Knowledge discovery from time-series data using nonlinear transformations, Proceedings of the Fourth Data Mining Workshop (The Japan Society for Software Science and Technology, Tokyo, 2004), Tokyo, Japan, 1–8, September 2004, ISSN 1341-870X 29, 2004.; Idé, T., and Inoue, K.: Knowledge discovery heterogeneous dynamic systems using change-point correlations, 2005 SIAM International Conference on Data Mining (SDM 05), Newport Beach, CA, USA, 571–576, April 2005.; Itoh, N., and Kurths, J.: Change-point detection of climate time series by nonparametric method, Proceedings of the World Congress on Engineering and Computer Science 2010 (WCECS 2010), San Francisco, USA, 445–448, October 2010.; Mohammad, Y. and Nishida, T.: Robust singular spectrum transform, the Twenty Second International Conference on Industrial, Engineering & Other Applications of Applied Intelligent Systems (IEA/AIE 2009), Taiwan, 123–132, 2009.; Moskvina, V. and Zhigljavsky, A.: An algorithm based on singular spectrum analysis for change-point detection, Commun. Statist. Simul. Comput., 32, 319–352, 2003.; Mudelsee, M.: Ramp function regression: a tool for quantifying climate transitions, Comput. Geosci., 26, 293–307, 2000.; Nakamura, N., Kayanne, H., Iijima, H., McClanahan, T. R., Behera, S. K., and Yamagata, T.: Mode shift in the Indian Ocean climate under global warming stress, Geophys. Res. Lett., 36, L23708, doi:10.1029/2009GL040590, 2009.; Phillips, J. L.: The triangular decomposition of Hankel matrices, Math. Comput., 5, 599–602, doi:10.1090/S0025-5718-1971-0295553-0, 1971.; Saji


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