APPLICATION OF GENERALIZED EXTREME VALUE DISTRIBUTION TO ANNUAL MAXIMUM RAINFALL
DOI:
https://doi.org/10.33003/fjs-2024-0802-2268Keywords:
Generalized Extreme Value Distribution (GEV), Maximum rainfall measurement, Return level, Maximum likelihood (ML) methodAbstract
Generalized Extreme Value Distributions was used to model annual maximum rainfall data in Akure, Ondo State, Nigeria from 1981-2019. The parameters of the distribution are estimated using the maximum likelihood estimation method. The model fit indicated that the shape parameter is negative this suggests that Fréchet distribution is the appropriate model for describing annual maximum rainfall in Ondo-state Nigeria. The estimated return levels for different return periods revealed an increase in the value over the years.
References
Coles, S, Bawa, J., Trenner, L and Dorazio, P (2001) An introduction to statistical modeling of extreme values, Vol. 208.
Deka, S. Borah M. and Kakaty, S. C. (2009). Distributions of annual maximum rainfall series of north-east India. European Water, 27(28), 3-14.
Ekpoh I.J and Nsa E. (2011) Extreme Climatic Variability in North-western Nigeria: An Analysis of Rainfall Trends and Patterns, Journal of Geography and Geology Vol. 3, No. 1
Fisher, A. R. and Tippett, L. C. (1928). Limiting forms of the frequency distribution of the largest or smallest member of a sample. Proceedings of the Cambridge Philosophical Society 24, 180-190.
Hirose, H. I. D. E. O. (1994). Parameter estimation in the extreme-value distributions using the continuation method. Transactions of Information Processing Society of Japan, 35(9).
Jasmine Lee J., M, and Syafrina A.,H , (2020). Rainfall Modelling using Generalized Extreme Value Distribution with Cyclic Covariate. Mathematics and Statistics, 8(6), 762-772. DOI: 10.13189/ms.2020.080617.
Jenkinson, A. F., (1955). The frequency distribution of the annual maximum (or minimum) values of meteorological elements, Q. J. R. Meteorol. Soc., 81, 158–171.
Koutsoyiannis.D. (2004). Statistics of extremes and estimation of extreme rainfall: (i)Empirical investigation of long rainfall records. ii. empirical investigatio. Hydrological Sciences Journal, 49(4).
Nadarajah S. and Shiau J.T. (2005). Analysis of extreme ood events for the Pachang river, Taiwan. Water resources management, 19(4):363-374, 20
Nashwan, M. S, Ismail, T and Ahmed, K. (2019) Non-stationary analysis of extreme rainfall in peninsular Malaysia, J. Sustain. Sci. Manag, Vol. 14, 17–34.
Ologunorisa T. E. and Tersoo T (2006) The Changing Rainfall Pattern and Its Implication for Flood Frequency in Makurdi, Northern Nigeria J. Appl. Sci. Environ. Mgt. September, 2006 Vol. 10 (3) 97 - 102
Sharma, S., and Mujumdar, (2019) On the relationship of daily rainfall extremes and local mean temperature, Journal of Hydrology, Vol. 572,179–191, 2019.
Varathan, N., Perera, K., & Nalin. (2010). Statistical modeling of extreme daily rainfall in Colombo. Sri Lanka: M.Sc thesis, Board of Study in Statistics and Computer Science of the postgraduate institute of science, university of Peradeniya.
Deka, S. Borah M. and Kakaty, S. C. (2009). Distributions of annual maximum rainfall series of north-east India. European Water, 27(28), 3-14.
Ekpoh I.J and Nsa E. (2011) Extreme Climatic Variability in North-western Nigeria: An Analysis of Rainfall Trends and Patterns, Journal of Geography and Geology Vol. 3, No. 1
Fisher, A. R. and Tippett, L. C. (1928). Limiting forms of the frequency distribution of the largest or smallest member of a sample. Proceedings of the Cambridge Philosophical Society 24, 180-190.
Hirose, H. I. D. E. O. (1994). Parameter estimation in the extreme-value distributions using the continuation method. Transactions of Information Processing Society of Japan, 35(9).
Jasmine Lee J., M, and Syafrina A.,H , (2020). Rainfall Modelling using Generalized Extreme Value Distribution with Cyclic Covariate. Mathematics and Statistics, 8(6), 762-772. DOI: 10.13189/ms.2020.080617.
Jenkinson, A. F., (1955). The frequency distribution of the annual maximum (or minimum) values of meteorological elements, Q. J. R. Meteorol. Soc., 81, 158–171.
Koutsoyiannis.D. (2004). Statistics of extremes and estimation of extreme rainfall: (i)Empirical investigation of long rainfall records. ii. empirical investigatio. Hydrological Sciences Journal, 49(4).
Nadarajah S. and Shiau J.T. (2005). Analysis of extreme ood events for the Pachang river, Taiwan. Water resources management, 19(4):363-374, 20
Nashwan, M. S, Ismail, T and Ahmed, K. (2019) Non-stationary analysis of extreme rainfall in peninsular Malaysia, J. Sustain. Sci. Manag, Vol. 14, 17–34.
Ologunorisa T. E. and Tersoo T (2006) The Changing Rainfall Pattern and Its Implication for Flood Frequency in Makurdi, Northern Nigeria J. Appl. Sci. Environ. Mgt. September, 2006 Vol. 10 (3) 97 - 102
Sharma, S., and Mujumdar, (2019) On the relationship of daily rainfall extremes and local mean temperature, Journal of Hydrology, Vol. 572,179–191, 2019.
Varathan, N., Perera, K., & Nalin. (2010). Statistical modeling of extreme daily rainfall in Colombo. Sri Lanka: M.Sc thesis, Board of Study in Statistics and Computer Science of the postgraduate institute of science, university of Peradeniya.
Published
2024-04-30
How to Cite
Adejuwon, S. O., Ilesanmi, A. O., Halid, O. Y., Odukoya, E. A., & Olayemi, M. S. (2024). APPLICATION OF GENERALIZED EXTREME VALUE DISTRIBUTION TO ANNUAL MAXIMUM RAINFALL. FUDMA JOURNAL OF SCIENCES, 8(2), 118 - 122. https://doi.org/10.33003/fjs-2024-0802-2268
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Section
Research Articles
FUDMA Journal of Sciences
