Distribution of Rain Intensity: Daily Maximum Rainfall Data in The Province of South Sumatera and West Sumatera
DOI:
https://doi.org/10.56294/dm2024.371Keywords:
Distribution, maxsimum rainfall data, annual exceedances, goodness of fit, South Sumatra and West Sumatera ProvincesAbstract
The high intensity of rain in May 2024 caused flooding in the Sumatra region, especially Padang City and Palembang City. The region of West Sumatra is also known as the ethalae of disasters with frequent earthquakes, floods, and landslides. In Indonesia, many frequency analyses are conducted using the Gumbel distribution without testing data and clear hydrological reasons. It is feared that this method is considered as a routine way, thus causing the risk of unwanted deviations, resulting in many disasters and errors in the planning of water buildings. This research aims to determine and know the type of distribution that is representative for the maximum daily rainfall frequency in West Sumatra and South Sumatra Provinces as a reference for development and disaster mitigation in the region. The research location is in West Sumatra and South Sumatra. The data used for this study were taken from daily maximum rainfall data from rain stations for 35 to 40 years from 24 rain stations in West Sumatra Province, and 16 rain stations for South Sumatra region. This type of research is development research with the 4D development model (Define, Design, Develop, Disseminate). The development method consists of four different phases: Initial Investigation, Design, Realisation and Development. The data of each station was then organised into two types of data series, namely the annual maximum data series and the annual minimum data series. The results of this data series test are expected to follow one or more types of distributions commonly used in Hydrology and Drainage. The distribution results obtained for the South Sumatra region are Gama-III and LP-III, while for the West Sumatra region the distribution types are Gama-III, LP-III Normal Log and Gembel. The conclusion obtained is that West Sumatra does not have only one type of distribution. For the type of test using the SPSS.22 application, the results obtained are goodness of fit test, parametric test, Chi-Square test, Kolmogorov Smirnov test and Anderson-Darling test and Histrogram (visual) method.
References
[1] APHA.Standard Methods For The Examination of Water and Wastewater, 23rd Edition (A.D.E.EW. Rice, R.B. Baird (ed.)). American Water Works Association.2003
[2] EPA. SW- 846 Method 9081: CationExchange Capacity of Soils (Sodium Acetate). 1986.
[3] Agus, I.,Determination of Distribution Type and Smirnov Conformity TestKolmogorov Rain Data Taratak Timbulun Watershed Pesisir Selatan Regency, Civil Engineering, pages 42-51 http://ojs.polinpdg.ac.id/index.php/JRS/arti cle/view/221 (accessed on June 26, 2014).2010
[4] Agus, I., Hartati,Chikuadrat Suitability Test of Rain Data of Batang Kuranji Watershed in Padang City,Civil Engineering,pages99111.http://journal.polinpdg.ac.id/index.php?opti on=com_content&view=article&id=9&I temid=1&article_id=240 (accessed on June 26, 2014).2011
[5] Anderson, T. W., D. A. Darling 1954, A Test of Gooness of Fit, Journal of the American Statistical Association, Vol. 49, No. 268 pages 765-769. (accessed on July 15, 2019).
[6] Bedient, P. B., and Huber W. C. 1992, Hydrology and Floodplain Analysis, Addison-Wesley Publishing Company, 712p.
[7] Badan Pusat Statistik Provinsi Sumatera Barat”. sumbar.bps.go.id. Archived from the original version on 2023-02-10. Accessed on 2024-02-10.
[8] Frank, J., Massey, Jr.,The Kolmogorov-Smirnov test for goodness of fit, Journal of the American Statistical Association, Vol 46, No. 253, Pages 68-78.1951
[9] Harto, S., Br., Hydrologic Analysis, Publisher PT Gramedia Pustaka Utama, Jakarta, 303p.1993
[10] Haan, C. T.Statistical Methods in Hydrology, The Lowa University Press.1979
[11] Machairiyah,Rainfall Analysis for Estimation of Peak Discharge by Rational Method in Percut Watershed, Deli Serdang Regency, Final Project S1, University of North Sumatra, Medan.2007
[12] Mera, M.,Engineering Hydrology, Publisher CV. Ferila Padang, 179p.2011
[13] Mera, M., Givi, M., Februarman, F., & Daulay, A. Flood Investigation of Safa and Marwa Housing in Reality and Model. Journal of Civil Engineering, 17(2), 176-185.2021
[14] PSDA,Publication of Rainfall Data for 2000-2010, Water Resources Management Office of West Sumatra Province, Padang.2009
[15] PSDA,Rainfall Data Publication Year.2010
[16] Water Resources Management Office of West Sumatra Province, Padang. 2012-2013,
[17] PSDA, Publication of 2014-2015 Rainfall Data, Water Resources Management Office of West Sumatra Province, Padang.2011
[18] PSDA,Publication of 2014-2015 Rainfall Data of West Sumatra Province Water Resources Management Office, Padang. 2011
[19] Pratikno, A. S., Prastiwi, A. A., & Ramahwati, S. Continuous Random Chance Distribution, Normal Distribution, Standard Normal Distribution, T Distribution, Chi Square Distribution, and F Distribution. Osf Preprints, 27(3), 1-5.2020
[20] Putra, Perdana. Gabrillin, Abba, ed. "1 October 1945 Established as the Anniversary of West Sumatra". Kompas.com. Archived from the original version on 2019-12-26. Accessed 2019-12-26.
[21] Rodrik, T., K. S. Lubis, Supriadi,Assessment of Rainfall Distribution at Several Rainfall Gauge Stations in Padang Watershed, Online Journal of Agroecotechnology, pages 373-379. http://jurnal.usu.ac.id/index.php/agroekotek nology/article/view/5838 (accessed on June 18, 2014).2013
[22] Ruhiat, Y.,Daily Rainfall Distribution with Chi-square, Kolmogorov-Smirnov, and Anderson Darling Tests (Case Study: Rainfall Distribution of Serang Station), Proceedings of National Seminar on Mathematics and Mathematics Education 2013, University of Andalas Padang, pages 133-139. 2013
[23] Scholz, F. W., M. A. Stephens, 1987, KSample Anderson-Darling Test, Journal of the American Statistical Association, Vol. 82, No. 399, pages 918-924. 1987
[24] Stephens, M., A., An appreciation of Kolmogorov's 1993 Paper, Technical Report No. 453, Dept.of Statistics Stanford 22p.https://statistics.stanford.edu/sites/default/fi les/SOL%20ONR%20453.pdf (accessed on October 07, 2014). Sudjana, 2005, Statistical Methods, Tarsito Publisher, Bandung, 508p. 1992
[25] Sutikno, and A. Bey,Probability Analysis to Predict Extreme Climate Events “Case Study: Rainfall Distribution in Karawang, Indramayu and Subang Regencies”, J. Agromet, pages 62-72. http://journal.ipb.ac.id/index.php/agromet/a rticle/view/3592 (accessed on June 18, 2014). 2003
[26] Usman, H., P. S. Akbar, introduction to Statistics, Publisher PT Bumi Aksara, Second Edition, Jakarta, 363p. 2011
[27] Upomo, T. C., & Kusumawardani, R.Selection of probability distribution in rainfall analysis with goodness of fit test method. Journal of Civil Engineering and Planning, 18(2), 139-148. 2016
[28] Usman, H., P. S. Akbar, Introduction to Statistics, Publisher PT Bumi Aksara, Second Edition, Jakarta, 363p. 2011
[29] Upomo, T. C., & Kusumawardani, R. (2016). Selection of probability distribution in rainfall analysis with goodness of fit test method. Journal of Civil Engineering and Planning, 18(2), 139-148. 2016
[30] Widyasari, T., Intensity Duration Frequency (IDF) Curve of Mononobe Equation in Sleman Regency, Janateknika, pages 85-94. http://jurnalteknik.janabadra.ac.id/wp.../Bu _titik_09.pdf (accessed on July 5, 2014).2009
[31] Widhiarso, W.Procedure for Testing Normal Distribution through Kai Kuadrat Test in SPSS.2008
[32] Yani, R. N., Yanuar, F., & Yozza, H. BAYESIAN INFERENCE FOR 2 FROM THE NORMAL DISTRIBUTION WITH VARIOUS PRIOR DISTRIBUTIONS. UNAND Journal of Mathematics, 7(2), 132-139.http://journal.ipb.ac.id/index.php/agromet/a rticle/view/3592 (diakses pada tanggal 18 Juni 2014).2018
Published
Issue
Section
License
Copyright (c) 2024 Selpa Dewi , M Giatman, Rusnardi Rahmat Putra, Ambiyar (Author)
This work is licensed under a Creative Commons Attribution 4.0 International License.
The article is distributed under the Creative Commons Attribution 4.0 License. Unless otherwise stated, associated published material is distributed under the same licence.