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Review and Derivation of Areal Reduction Factor in Malaysia with Response to Changing Climate

  • Water Resources and Hydrologic Engineering
  • Published:
KSCE Journal of Civil Engineering Aims and scope

Abstract

This study presents the reviews and derivations of ARF for storm design applications in Malaysia. Considering that present rainfall characteristics may change due to climate change, rainfall time series data of the selected rainfall interval of nine rainfall stations in Kuala Lumpur were examined by several homogeneity tests and trend test to determine the existence of trends. Average-Point rainfall tracking method was adopted to compute the Maximum Areal Average Rainfall (MAAR). Increasing trends were observed both in the point rainfalls and areal rainfalls especially for short rainfall interval which cause increment of ARF derived in this study. However, the increasing trend diminished as the rainfall interval increased. The increment also implies that ARF is a non-stationary factor. Thus the ARF derived several decades ago is not appropriate for present storm design applications. Spatial autocorrelation results indicated that the study area is characterized with localized rainfall pattern with threshold radius of about 11km which corresponding to circular area of 400 km2. The reviewed ARF complies with the localized rainfall pattern and comparison revealed that ARF is not a universal factor. In conclusion, the ARF estimations has been improved for storm design applications of local concerns with response to changing climate.

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References

  • Alexander, W. J. (1990). Flood hydrology for southern Africa. Pretoria: South African National Committee on Large Dams (SANCOLD), South Africa.

    Google Scholar 

  • Alexander, W. J. R. (2001). Flood risk reduction measures: Incorporating flood hydrology for southern Africa. Pretoria: Department of Civil and Biosystems Engineering, University of Pretoria, South Africa.

    Google Scholar 

  • Alexandersson, H. and Moberg, A. (1997). “Homogenization of Swedish temperature data. Part 1: homogeneity test for linear trends.” International Journal of Climatologym, Vol. 17, pp. 25–34, DOI: 10.1002/(SICI)1097-0088(199701)17:1%3C25::AID-JOC103%3E3.0.CO;2-J.

    Article  Google Scholar 

  • Asquith, W. H. and Famiglietti, J. S. (2000). “Rainfall areal reduction factor estimation using the annual maxima centered approach.” Journal of Hydrology, Vol. 230, Nos. 1–2, pp. 55–69, DOI: 10.1016/S0022-1694(00)00170-0.

    Article  Google Scholar 

  • Bacchi, B. and Ranzi, R. (1996). “On the derivation of the areal reduction factor of storms.” Atmospheric Research, Vol. 42, pp. 123–135, DOI: 10.1016/0169-8095(95)00058-5.

    Article  Google Scholar 

  • Bell, F. C. (1976). The areal reduction factor in rainfall frequency estimation. Institute of Hydrology, Report No 35. Swindon, UK: Natural Environment Research Council.

    Google Scholar 

  • Bengtsson, L. and Niemczynowicz, J. (1986). “Areal reduction factors from rain movement.” Nordic Hydrology, Vol. 17, No. 2, pp. 65–82, DOI: 10.2166/nh.1986.005.

    Article  Google Scholar 

  • Buishand, T. A. (1982). “Some methods for testing the homogeneity of rainfall records.” Journal of Hydrology, Vol. 58, pp. 11–27, DOI: 10.1016/0022-1694(82)90066-X.

    Article  Google Scholar 

  • Dawdy, D. R. and Langbein, W. B. (1960). “Mapping mean areal precipitation.” Hydrological Sciences Journal, Vol. 5, No. 3, pp. 16–23, DOI: 10.1080/02626666009493176.

    Google Scholar 

  • De Michele, C., Kottegoda, N. T., and Rosso, R. (2001). “The derivation of areal reduction factor of storm rainfall from its scaling properties.” Water Resources Research, Vol. 37, No. 12, pp. 3247–3252, DOI: 10.1029/2001WR000346.

    Article  Google Scholar 

  • Department of Irrigation and Drainage Malaysia (DID) (1986). Water Resources Publication No.17: Variation of Rainfall with Area in Peninsular Malaysia.

  • Faizah, C. R., Hiroyuki, T., Lariyah, M. S., and Hidayah, B. (2016). “Homogeneity and trends in long-term rainfall data, Kelantan River Basin, Malaysia.” International Journal of River Basin Management, Vol.14, No. 2, pp. 151–163, DOI: 10.1080/15715124.2015.1105233.

    Article  Google Scholar 

  • Hawkins, P. M. (1977). “Testing a sequence of observations for a shift in location.” Journal of the American Statistical Association, Vol. 72, pp. 180–186, DOI: 10.2307/2286934.

    Article  MathSciNet  MATH  Google Scholar 

  • Hirsch, R. M., Slack, J. R., and Smith, R. A. (1982). “Techniques of trend analysis for monthly water quality data.” Water Resources Research, Vol. 1, pp. 107–121, DOI: 10.1029/WR018i001p00107.

    Article  Google Scholar 

  • IPCC (2007). “Understanding and Attributing Climate Change.” In: Climate Change 2007: The Physical Science Basis. Contribution of Working Group I to the Fourth Assessment Report of the Intergovernmental Panel on Climate Change. Cambridge University Press, Cambridge, United Kingdom and New York, NY, USA.

  • Kendall, M. G. (1970). Rank correlation methods. London: Griffin.

    MATH  Google Scholar 

  • Lim, J. T. and Azizan, A. S. (2004). Weather and climate of Malaysia. University of Malaya Press, Kuala Lumpur.

    Google Scholar 

  • Mann, H. B. (1945). “Non-parametric test against trend.” Econometrica, Vol. 13, pp. 245–259, DOI: 10.2307/1907187.

    Article  MathSciNet  MATH  Google Scholar 

  • Mitchell, J. M., Dzezerdzeeskii, B., Flohn, H., Hofmeyer, W. L., Lamb, H. H., Rao, K. N., Wallen, C. C. (1996). Climate change. WMO Technical Note 79, WMO No. 195. TP-100, Geneva, 79.

    Google Scholar 

  • NAHRIM, National Hydraulic Research Institute of Malaysia (2010). Review and Updated the Hydrological Procedure No.1: Estimation of Design Rainstorm in Peninsular Malaysia.

  • Natural Environment Research Council (NERC) (1975). Flood studies report. Swindon, UK.

  • Omolayo, A.S. (1993). “On the transposition of areal reduction factors for rainfall frequency estimation.” Journal of Hydrology, Vol. 145, Nos. 1–2, pp. 191–205, DOI: 10.1016/0022-1694(93)90227-Z.

    Article  Google Scholar 

  • Op ten Noort, T. H. and Stephenson, D. (1984). Flood peak calculation in South Africa. Water Systems Research Program Report. University of the Witwatersrand, Johannesburg.

    Google Scholar 

  • Pettitt, A. N. (1979). “A non-parametric approach to the change point problem.” Applied Statistics, Vol. 28, pp. 126–135, DOI: 10.2307/2346729.

    Article  MathSciNet  MATH  Google Scholar 

  • Pietersen, J. P. J., Gericke, O. J., Smithers, J. C., and Woyessa, Y. E. (2015). “Review of current methods for estimating areal reduction factors applied to South African design point rainfall and preliminary identification of new methods.” Journal of the South African Institution of Civil Engineering, Vol. 57, pp. 16–30, DOI: 10.17159/2309-8775/2015/v57n1a2.

    Article  Google Scholar 

  • Reeves, J. U., Chen, J., Wang, X. L., Lund, R., and Lu Q. Q. (2006). “A review and comparison of change point detection techniques for climate data.” Journal of Applied Meteorology and Climatology, Vol. 46, pp. 900–915, DOI: 10.1175/JAM2493.1.

    Article  Google Scholar 

  • Schonwiese, C. D. and Rapp, J. (1997). “Climate trend atlas of Europe based on observation 1891–1990.” International Journal of Climatology, Vol. 18, pp. 580–598, DOI: 10.1002/(SICI)1097-0088(199804)18:5% 3C580::AID-JOC276%3E3.0.CO;2-4.

    Google Scholar 

  • Sen. P. K. (1968). “Estimates of the regression coefficients based on Kendall’s tau.” Journal of the American Statistical Association, Vol. 63, No. 324, pp. 1379–1389, DOI: 10.2307/2285891.

    Article  MathSciNet  MATH  Google Scholar 

  • Shin, Y. A. (2013). Grid-based spatial and temporal approaches to depth-area-duration rainfall analysis, Master’s Thesis. Department of Civil and Earth Resources Engineering. Kyoto University.

    Google Scholar 

  • Sivapalan, M. and Bloschl, G. (1998). “Transformation of point rainfall to areal rainfall: Intensity-duration-frequency curves.” Journal of Hydrology, Vol. 204, Nos. 1–4, pp. 150–167, DOI: 10.1016/S0022-1694(97)00117-0.

    Article  Google Scholar 

  • Stewart, E. J. (1989). “Areal reduction factors for design storm construction: Joint use of rain gauge and radar data.” Proc. of Baltimore Symposium (New Directions for Surface Water Modelling), IAHS Pub. No. 181, pp. 31–39.

    Google Scholar 

  • Suhaila, J., Deni, S. M., Wan Zawiah, W. Z., and Jemain, A. Z. (2010). “Spatial patterns and trends of daily rainfall regime in Peninsular Malaysia during the southwest and northeast monsoons: 1975–2004.” Journal of Meteorology and Atmospheric Physics, Vol. 110, pp. 1–18, DOI: 10.1007/s00703-010-0108-6.

    Article  Google Scholar 

  • Svensson, C. and Jones, D. A. (2010). “Review of methods for deriving areal reduction factors.” Journal of Flood Risk Management, Vol. 3, No. 3, pp. 232–245, DOI: 10.1111/j.1753-318X.2010.01075.x.

    Article  Google Scholar 

  • Theil, H. (1950). “A rank invariant method of linear and polynomial regression analysis. Part III.” Proceeding of the Royal Netherlands Academy of Sciences, Vol. 53, pp. 1397–1412.

    MathSciNet  MATH  Google Scholar 

  • United States Weather Bureau (USWB) (1957). Rainfall intensity-frequency regime, the Ohio Valley. Technical paper 29. United States Department of Commerce, Washington DC.

  • Von Neumann, J. (1941). “Distribution of the ratio of the mean square successive difference to the variance.” The Annals of Mathematical Statistics, Vol. 12, pp. 367–395, DOI: 10.1080/02626666009493176.

    Article  MathSciNet  MATH  Google Scholar 

  • Wijngaard, J. B., Klein, T. M., and Konnen, G. P. (2003). “Homogeneity of 20th century European daily temperature and precipitation series.” International Journal of Climatology, Vol. 23, pp. 679–692, DOI: 10.1002/joc.906.

    Article  Google Scholar 

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Authors and Affiliations

  1. Chungnam National University, Daejeon, 34134, Korea

    Kahhoong Kok & Kwansue Jung

  2. International Water Resources Research Institute, Chungnam National University, Daejeon, 34134, Korea

    Wansik Yu

  3. Universiti Tenaga Nasional, Sustainable Technology and Environment Group (STEG), College of Engineering, Jalan IKRAM-UNITEN, 43000, Kajang, Malaysia

    Lariyah Mohd Sidek

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  1. Kahhoong Kok
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  2. Wansik Yu
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  3. Lariyah Mohd Sidek
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  4. Kwansue Jung
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Correspondence to Kwansue Jung.

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Kok, K., Yu, W., Sidek, L.M. et al. Review and Derivation of Areal Reduction Factor in Malaysia with Response to Changing Climate. KSCE J Civ Eng 22, 4681–4698 (2018). https://doi.org/10.1007/s12205-018-1316-8

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  • DOI: https://doi.org/10.1007/s12205-018-1316-8

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