Daily Probability Model of Storm Events in Peninsular Malaysia
Authors: Mohd Aftar Abu Bakar, Noratiqah Mohd Ariff, Abdul Aziz Jemain
Abstract:
Storm Event Analysis (SEA) provides a method to define rainfalls events as storms where each storm has its own amount and duration. By modelling daily probability of different types of storms, the onset, offset and cycle of rainfall seasons can be determined and investigated. Furthermore, researchers from the field of meteorology will be able to study the dynamical characteristics of rainfalls and make predictions for future reference. In this study, four categories of storms; short, intermediate, long and very long storms; are introduced based on the length of storm duration. Daily probability models of storms are built for these four categories of storms in Peninsular Malaysia. The models are constructed by using Bernoulli distribution and by applying linear regression on the first Fourier harmonic equation. From the models obtained, it is found that daily probability of storms at the Eastern part of Peninsular Malaysia shows a unimodal pattern with high probability of rain beginning at the end of the year and lasting until early the next year. This is very likely due to the Northeast monsoon season which occurs from November to March every year. Meanwhile, short and intermediate storms at other regions of Peninsular Malaysia experience a bimodal cycle due to the two inter-monsoon seasons. Overall, these models indicate that Peninsular Malaysia can be divided into four distinct regions based on the daily pattern for the probability of various storm events.
Keywords: Daily probability model, monsoon seasons, regions, storm events.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1123893
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[1] S. Vanderberghe, N. E. C. Verhoest, C. Onof, and B. De Baets, “A comparative copula-based bivariate frequency analysis of observed and simulated storm events: A case study on Bartlett-Lewis modeled rainfall,” Water Resources Research, vol. 47(7), W07529, 2011.
[2] P. J. Restrepo-Pasada, and P. S. Eagleson, “Identification of independent rainstorms,” Journal of Hydrology, vol. 55(1-4), pp. 303-319, 1982.
[3] S. C. Kao, and R. S. Govindaraju, “Probabilistic structure of storm surface runoff considering the dependence between average intensity and storm duration of rainfall events,” Water Resources Research, vol. 43(6), pp. W06410, 2007.
[4] S. C. Kao, and R. S. Govindaraju, “Trivariate statistical analysis of extreme rainfall events via the Plackett family of copulas,” Water Resources Research, vol. 44(2), pp. W02415, 2008.
[5] B. Palynchuk, and Y. Guo, “Threshold analysis of rainstorm depth and duration statistics at Toronto, Canada,” Journal of Hydrology, vol. 348(3-4), pp. 535-545, 2008.
[6] T. M. Heneker, M. F. Lambert, and G. Kuczera, “A point rainfall model for risk-based design,” Journal of Hydrology, vol. 247(1), pp. 54-71, 2001.
[7] J. Joo, J. Lee, J. H. Kim, H. Jun, and D. Jo, “Inter-event time definition setting procedure for urban drainage systems,” Water, vol. 6(1), pp. 45-58, 2013.
[8] N. M. Ariff, A. A. Jemain, K. Ibrahim, and W. Z. Wan Zin, “IDF Relationships using Bivariate Copula for Storm Events in Peninsular Malaysia,” Journal of Hydrology, vol. 470-471, pp. 158-171, 2012.
[9] S. M. Deni, J. Suhaila, W. Z. Wan Zin, and A. A. Jemain, “Spatial trends of dry spells over Peninsular Malaysia during monsoon seasons,” Theoretical and Applied Climatology, vol. 99(3), pp. 357-371, 2010.
[10] S. M. Deni, J. Suhaila, W. Z. W. zin, and A. A. Jemain, “Trends of wet spells over Peninsular Malaysia during monsoon seasons,” Sains Malaysiana, vol.38(2), pp.133-142, 2009.
[11] J. Suhaila, S. M. Deni, W. Z. Wan Zin, and A. A. Jemain, “Spatial patterns and trends of daily rainfall regime in Peninsular Malaysia during the southwest and northeast monsoons: 1975-2004,” Meteorology and Atmospheric Physics, pp. 1-18, 2010.
[12] J. Suhaila, A. A. Jemain, M. F. Hamdan, and W. Z. W. Zin, “Comparing rainfall patterns between regions in Peninsular Malaysia via a functional data analysis technique,” Journal of Hydrology, vol. 411, pp. 197-206, 2011.
[13] J. Suhaila, and A. A. Jemain, “A comparison of the rainfall patterns between stations on the East and the West coasts of Peninsular Malaysia using the smoothing model of rainfall amounts,” Meteorological Applications, vol. 16(3), pp.391-401, 2009.
[14] M. N. Desa, “Characterisation of urban rainfall in Kuala Lumpur, Malaysia (Ph.D. Thesis),” Lund University, Sweden, 1997.
[15] M. M. N. Desa, and J. Niemczynowicz, “Spatial variability of rainfall in Kuala Lumpur, Malaysia: long and short term characteristics,” Hydrological Sciences Journal, vol. 41(3), pp. 345-362, 1996.
[16] M. N. Desa, and J. Niemczynowicz, “Temporal and spatial characteristics of rainfall in Kuala Lumpur, Malaysia,” Atmospheric Research, vol. 42(1), pp. 263-277, 1996.
[17] F. Yusof, and I. L. Kane, “Volatility modeling of rainfall time series,” Theoretical and Applied Climatology, vol. 113(1-2), pp. 247-258, 2012.
[18] J. Samson, P. Thomson, and T. Carey-Smith, “Stochastic seasonality of rainfall in New Zealand,” Journal of Geophysical Research: Atmospheres, vol. 118(10), pp.3944-3955, 2013.
[19] M. G. Slocum, W. J. Platt, B. Beckage, S. L. Orzell, and W. Taylor, “Accurate quantification of seasonal rainfall and associated climate-wildfire relationships,” Journal of Applied Meteorology and Climatology, vol. 49(12), pp. 2559-2573, 2010.
[20] T. Carey-Smith, J. Samson, and P. Thomson, “A hidden seasonal switching model for multisite daily rainfall,” Water Resources Research, vol. 50(1), pp. 257-272, 2014.
[21] C. H. R. Lima, and U. Lall, “Hierarchical Bayesian modeling of multisite daily rainfall occurrence: Rainy season onset, peak, and end,” Water Resources Research, vol.45, pp. W07422, 2009.
[22] J. Samson, and P. Thomson, “A hidden seasonal switching model for high-resolution breakpoint rainfall data,” Water Resources Research, vol. 46(8), pp. W08510, 2010.
[23] Z. M. Daud, A. H. M. Kassim, M. N. M. Des, and V. T. V. Nguyen, “Statistical analysis of at-site extreme rainfall processes in Peninsular Malaysia,” IAHS-AISH Publication, vol. 274, pp. 61-68, 2002.
[24] C. L. Wong, R. Venneker, S. Uhlenbrook, A. B. M. Jamil, and Y. Zhou, “Variability of rainfall in Peninsular Malaysia,” Hydrol. Earth Syst. Sci. Discuss, vol. 6, pp. 5471-5503, 2009.