Rainfall Intensity Analysis for Synoptic Stations in Northern Nigeria
Keywords:Extreme rainfall, Intensity, Duration, Frequency, Northern Nigeria
With the large inter-annual variability of rainfall in Northern Nigeria, a zone subject to frequent dry spells which often result in severe and widespread droughts, the need for intense study of rainfall and accurate forecast of rainfall intensity duration frequency (IDF) curves cannot be over emphasized. The Intensity Duration Frequency relationship is a mathematical relationship between the rainfall intensity and rainfall duration for given return periods. Using a subset of the network of fifteen continuous auto recording rain gauges available in Northern Nigeria, a total of seven different time durations ranging from 12 minutes to 24 hours were developed for return periods of 2, 5, 10, 25, 50 and 100 years. The maximum data series so obtained was fitted to Gumbel’s Extreme Value Type 1 distribution. Linear Regression Analysis was then used to obtain the intensity-duration relationships for the various locations from which Intensity-Duration Frequency (IDF) curves were generated using Microsoft Excel for various return periods.
Adamowski, K. and Bougadis, J. (2003). Detection of trends in annual extreme rainfall. Hydrological Processes, 17(18): 3547-3560. https://doi.org/10.1002/hyp.1353
Akpan, S. U. and Okoro, B. C. (2013). Developing Rainfall Intensity–Duration–Frequency Models for Calabar City, South-South, Nigeria. American Journal of Engineering Research, 2(6): 19-24.
Al-Mashidani, G.; B. Pande; B. Lal and F. M. Mujda. (2009). A simple version of Gumbel's method for flood estimation, Hydrological Sciences Bulletin, 23(3): 373-380. https://doi.org/10.1080/02626667809491810
Awokola, O. S. (2002). Regional Rainfall Intensity-Duration Frequency (IDF) Analysis for Southern Nigeria. Nigerian Journal of Science. 36(1): 17 – 27.
Bates, B. C.; Z. W. Kundzewicz; S. Wu and J. P. Palutikof. (Eds.) (2008). Climate Change and Water. Geneva: Technical Paper of the Intergovernmental Panel on Climate Change, IPCC Secretariat, 210.
Chow, V. T. (1953). Frequency Analysis of Hydrologic Data with Special Application to Rainfall Intensities. University of Illinois. Engineering Experiment Station. Bulletin; No. 414.
Chow, V. T.; D. R. Maidment and L. W. Mays. (1988). Applied Hydrology. McGraw Hill Book Company, Singapore.
Coulibaly, P. and Shi, X. (2005). Identification of the Effect of Climate Change on Future Design Standards of Drainage Infrastructure in Ontario - Highway Infrastructure Innovation Funding (HIIFP) Program. HIIFP-022, Report to Ontario Ministry of Transportation, Hamilton, Ontario.
Franks, S. W. (2002). Assessing hydrological change: deterministic general circulation models or spurious solar correlation? Hydrological Processes, 16(2): 559–564. https://doi.org/10.1002/hyp.600
Groisman, P. Y.; T. R. Karl; R. D. Easterling; W. R. Knight and F. P. Jamason. (1999). Changes in the probability of heavy precipitation: Important indicators of climatic change. In: Karl T.R., Nicholls N., Ghazi A. (eds) Weather and Climate Extremes. Springer, Dordrecht, 243-283. https://doi.org/10.1007/978-94-015-9265-9_15
Gumbel, E. J. (1958). Statistics of Extremes. Colombia University Press, New York, 375.
Haan, C. T. (1977). Statistical Methods in Hydrology, Iowa State University Press, Iowa, 516.
Jeong, D. I. (2009). Trends and multi-decadal variability of annual maximum precipitation for Seoul, South Korea, Urban Water Journal, 6(6): 431-439. https://doi.org/10.1080/15730620903242832.
Jowitt, P. W. (1979). The extreme-value type - 1 distribution and the principle of maximum entropy, J. Hydrol., 42(1-2): 23-38. https://doi.org/10.1016/0022-1694(79)90004-0
Karl, T. R. and Knight, R. W. (1998). Secular trends of precipitation amount, frequency, and intensity in the United States. Bulletin of the American Meteorological Society, 79(2): 231-241. https://doi.org/10.1175/1520-0477(1998)079<0231:STOPAF>2.0.CO;2
Mailhot, A.; A. Kingumbi; G. Talbot and A. Poulin. (2010). Future changes in intensity and seasonal pattern of occurrence of daily and multi-day annual maximum precipitation over Canada. Journal of Hydrology, 388(3-4): 173-185. https://doi.org/10.1016/j.jhydrol.2010.04.038
Markus, M.; J. R. Angel; L. Yang and M. I. Hejazi. (2007). Changing estimates of design precipitation in Northeastern Illinois: Comparison between different sources and sensitivity analysis. Journal of Hydrology, 347(1-2), 211-222. https://doi.org/10.1016/j.jhydrol.2007.09.024
Nwoke, H. U. and Nwaogazie, I. L. (2013). Rainfall Intensity Duration Frequency Regime for Onitsha city. American Journal of Engineering Research (AJER). 2(6): 19-24.
Ogarekpe, N. (2014). Development and Comparison of Different Intensity Duration Frequency Models for Calabar, Nigeria. Nigerian Journal of Technology, 33(1): 33-42.
Okonkwo, G. and Mbajiorgu, C. C. (2010). Rainfall intensity-duration-frequency analysis for Southeastern Nigeria. Agricultural Engineering International: CIGR Journal, 12(1): 22－30.
Okonofua, S. and Ogbeifun, P. (2013). Flood Frequency Analysis of Osse River Using Gumbel’s Distribution. Civil and Environmental Research, ISSN 2224-5790 (Paper) ISSN 2225-0514 (Online), 3(10), 55-60.
Olatunde, A. F. and Adejoh, I. (2017). Intensity Duration and Frequency of Rainstorms in Lokoja. Science World Journal, 12(2): 36-40.
Ologhadien, I. and Nwaogazie, I. L. (2014). Comparative Analysis of Rainfall IDF equation types for Predicting Rainfall Intensity in Southern Nigeria. Nigerian Journal of Technology, 36(4): 296-1302. http://dx.doi.org/10.4314/njt.v3614.40
Ologunorisa, T. E. and Tersoo, T. (2006). The Changing Rainfall Pattern and Its Implication for Flood Frequency in Makurdi, Northern Nigeria. Journal of Applied Science and Environmental Management, 10(3): 97-102.
Osborn, T. J.; M. Hulme; P. D. Jones and T. A. Bassett. (2000). Observed trends in the daily intensity of United Kingdom precipitation. International Journal of Climatology, 20(4): 347-364.
Oyebande, L. (1982). Deriving Rainfall Intensity Duration Frequency Estimates for Regions with Inadequate Data. Hydrological Science Journal, 27(3): 353-367. https://doi.org/10.1080/02626668209491115
Oyegoke, E. S.; J. O. Sonuga and G. A. Akpoji. (1983). The Principle of Maximum Entropy for Parameter Estimation of Statistical Distributions. A.S.C.E. Engineering Mechanics Specialty Conference, West Lafayette, Indiana, U.S.A., 899-902.
Oyegoke, E. S. and Sonuga, J. O. (1983). A new technique for the analysis of extreme rainfall with application to Lagos Metropolis, Nigeria. Nordic Hydrol., Denmark, 14(3): 127-138.
Oyegoke, S. O. and Oyebande, L. (2008). A new technique for Analysis of Extreme Rainfall for Nigeria. Environmental Research Journal, 2(1): 7-14.
Oyegoke S. O.; A. S. Adebanjo; E. O. Ajani and J. T. Jegede. (2017). Analysis of Rainfall Intensity for Southern Nigeria. Journal of Engineering Research, 22(1): 108-119.
Peterson, T. C.; X. Zhang; M. Brunet-India and J. L. Vázquez-Aguirre. (2008). Changes in North American extremes derived from daily weather data. Journal of Geophysical Research, 113(D07113): 1-9. https://doi.org/10.1029/2007JD009453.
Salami, A. W. and Sule, B. F. (2009). Establishment of rainfall intensity model for selected townsin Nigeria based on Sherman equation. 1st Annual Civil Engineering Conference, University of Ilorin, Nigeria, 26-28.
Shaw, E. M. (1983). Hydrology in Practice. Van Nostrand Reinhold, UK.
Sonuga, J. O. (1972). Principle of Maximum Entropy in Hydrologic Frequency Analysis, J. Hydrol., 17(1): 77-191.
Stone, D. A.; A. J. Weaver and F. W. Zwiers. (2000). Trends in Canadian Precipitation Intensity. Atmosphere-Ocean, 38(2): 321-347. https://doi.org/10.1080/07055900.2000.9649651
Sule, B. F. and Ige, I. (2016). Synthesis of Isopluvial Maps for Nigeria using IDF Equations Derived from Daily Rainfall Data. Journal of Scientific and Engineering Research, 3(3): 505-514.
Udosen, C. (2012). Rainfall Trends in Uyo-Akwa Ibom State and its Implication on Urban Flooding. Medwell Journals, 7(1): 79-85. https://doi.org/10.3923/jeasci.2012.79.85
Vincent, L. and Mekis, E. (2006). Changes in daily and extreme temperature and precipitation indices for Canada over the twentieth century. Atmosphere-Ocean, 44(2): 177-193. http://dx.doi.org/10.3137/ao.440205
Whitfield, P. H.; K. Bodtker and A. J. Cannon. (2002). Recent variations in seasonality of temperature and precipitation in Canada, 1976-1995. International Journal of Climatology, 22(13): 1617- 1644. https://doi.org/10.1002/joc.813
Zelenhasic, E. (1970). Theoretical Probability Distributions for Flood Peaks. Colorado University Press, Colorado.
Zhang, X.; L. A. Vincent; W. D. Hogg and A. Niitsoo. (2000). Temperature and precipitation trends in Canada during the 20th century. Atmosphere–Ocean, 38(3): 395-429. http://dx.doi.org/10.1080/07055900.2000.9649654
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