Modelling of Extreme Rainfall Patterns in Accra
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https://doi.org/10.14419/0c9qv646
Received date: December 27, 2025
Accepted date: February 5, 2026
Published date: February 13, 2026
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Block maxima; Climate change; Extreme rainfall; Fréchet Distribution; Return levels -
Abstract
Concerns about climate change and its possible impacts on human activities have increased the awareness that climatic conditions are dynamic. West Africa, of which Ghana is part is one of the areas in the world that had experienced major climatic anomalies in the past century. The purpose of this research is to model rainfall data using block maxima approach of extreme value theorem. Monthly rainfall data covering the period 1960 – 2022 were obtained from the Ghana Meteorological Agency, Accra Airport substation. Statistical properties of the data indicated data was stationary, however it was not normally distributed. Time series analysis of the data indicated consistent increase in rainfall values with both downward and upward spikes indicating fluctuations in the rainfall values. The Generalized Extreme value distribution was used to fit the model of rainfall values. The rainfall values were fitted using the Generalized Extreme value distribution. The Fréchet distribution was found to be the most appropriate model for the monthly rainfall data. Additionally, it was discovered that the amplitude of the extreme values grows with return periods, with higher return levels predicted to become more uncommon but severe over time.
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References
- Abdul Aziz, A.R., Anokye M, Anine, K, Munyakazi L, and Nsowah-Nuamah, N.N.N, (2013). Modelling and forecasting rainfall pattern in Ghana as a Seasonal ARIMA process. Case study of Ashanti region. International Journal for Humanities and Social Sciences. 3(3).
- Abdulali B.A.A, Abu Bakar M.A, Ibrahim K and Ariff, N.M (2022): Extreme Value Distributions: An Overview of Estimation and Simulation. Jour-nal of Probability and Statistics. Vol. 3. PP 1-17. https://doi.org/10.1155/2022/5449751.
- Abiri, K.O. (2022): Flood Resilience in Accra: Accra’s Flooding Problem. repository.tudelft.nl.
- Alaswed, H. (2024): Modeling of Extreme Temperature Using Min-Generalized Extreme Value Distribution. Scholars Journal of Physics, Mathemat-ics and Statistics. SAS publishers.com. https://doi.org/10.36347/sjpms.2024.v11i02.001.
- Angbing I, Abubakari A.G, Nasiru S (2020): Extreme Analysis of Maxima Rainfall in the Upper East Region of Ghana. A case study of Navrongo Municipality. https://www.researchgate.net/publication/343671743. Applied Mathematics and Information Sciences. An international journal.4, No.4, 645-653. https://doi.org/10.18576/amis/140413.
- Ankrah, S.T, Pels, W.A and Nadarajah S. (2024): Modelling Rainfall Extremes along the Coastal and Northern parts of Ghana. Quarterly Journal of Meteorology, Hydrology and Geophysics. Vol.75. No.2. https://mausamjournal.imd.gov.in/index.php/. https://doi.org/10.54302/mausam.v75i2.5875.
- Asiedu, K.O (2024): Housing, Natural Hazards and Flood Disaster Risk Reduction in Accra, Ghana.
- Ayitey E, Nyarko C.C, Otoo, H and Affam M. (2022): Extreme Value Theory Modeling of Geochemical Anomalies: Block Maxima Approach. Asian Journal of Probability and Statistics. 17(2): 86-95, 2022; Article no. AJPAS.84045. ISSN: 2582-0230. https://doi.org/10.9734/ajpas/2022/v17i230421.
- Bako, S.S, Agog. N, Peter, M, Abdullateef, M and Anyam, G.K (2021): Modeling extreme rainfall in Kaduna using the generalised extreme value distribution. Science world journal. Vol 15. No. 3.
- Bezak, N, Brilly, M., and Sraj, M. (2014): Comparison between the peaks-over-threshold method and the annual maximum method for flood fre-quency analysis. Hydrological sciences journal. Vol. 59, no.5. Accessed. 11/11/2024. https://doi.org/10.1080/02626667.2013.831174.
- Cameron, C (2011): Climate change Finance and Aid effectiveness: Ghana case study, OECD. http://www.oecd.org/dac/environmentdevelopment/48458430.pdf.
- Climate change profile, Ghana, 2018.
- Dickey D.A., and Fuller, W. A. (2012): Distribution of the Estimators for Autoregressive Time Series with a Unit Root. Pages 427-431. Published online: 05 Apr 2012. Accessed 21/01/2024. https://doi.org/10.1080/01621459.1979.10482531.
- Doku, M.R.S (2022): Seismological, meteorological and geochemical investigation for earthquake hazard in the greater Accra metropolitan area. URI: http://hdl.handle.net/123456789/11304.
- Ghaffer, A, Shaheen, W.A, Bengum S, Mushtaq R and Ellahi, A. (2021): government expenditures, inflation and demand for money in pakistan: a cointegration approach. Elementary Education Online, 2021; Vol 20 (Issue 5): pp. 6744-6759. http://ilkogretim-online.org.
- Ghana Statistical Services (GSS) (2010): Population and Housing Census for Ghana. https://statsghana.gov.gh.
- Gonzalez-Estrada, E, Villasenor, J.A and Acosta-Pech, R. (2022): Shaprio-Wilk test for multivariate skew-normality. Computational Statistics. Vol. 37, pages 1985 -2001. Springer Nature link. https://doi.org/10.1007/s00180-021-01188-y.
- Gyasi, W and Cooray, K (2024): New generalized extreme value distribution with applications to extreme temperature data. Environ metrics, 2024 - Wiley Online Library. https://doi.org/10.1002/env.2836.
- Hassan, T. (2021): Extreme value analysis dilemma for climate change impact assessment on global flood and extreme precipitation. Journal of Hy-drology. Vol. 595. ScienceDirect. Elsevier.
- Weather and Climate Extreme Events in a Changing Climate.” In Climate Change 2021: The Physical Science Basis. Contribution of Working Group I to the Sixth Assessment Report of the Intergovernmental Panel on Climate Change. C. U. Press. Google Scholar.
- IPCC. 2023. Climate Change 2023: Synthesis Report. Contribution of Working Groups I, II and III to the Sixth Assessment Report of the Intergov-ernmental Panel on Climate Change. IPCC.
- IPCC. 2021. Climate Change 2021: The Physical Science Basis. Working Group I Contribution to the Sixth Assessment Report of the Intergovern-mental Panel on Climate Change.
- IPCC 2007. Climate Change 2007: The Physical Science Basis. Contribution of Working Group I to the Fourth Assessment Report of the Intergov-ernmental Panel on Climate Change.
- Kuffour, O.A (2024): Housing, Natural Hazards and Flood Disaster Risk Reduction in Accra, Ghana. Queens’s University (Canada) ProQuest. Dis-sertation and Theses, 2024. 31822453.
- Mastaq, R. (2011): Augmented Dickey Fuller test. Available at SSRN: https://ssrn.com/abstract=1911068 or https://doi.org/10.2139/ssrn.1911068.
- Moghaddasi, M, Anvari, S. and Mohammadi,T. (2022): Comparison of extreme value theory approaches in temperature frequency analysis (case study: Arak plain in Iran). Arabian journal of Geosciences. Springer. Vol.15, No. 1144. https://doi.org/10.1007/s12517-022-10409-7.
- Ngailo T.S, Reuder J, Rutalebwa E, Nyinvua S and Mesquta M.D.S (2016): Modelling of Extreme Maximum Rainfall using Extreme value theory for Tanzania. International journal of Scientific and Innovative Mathematical Research. Vol. 4. ISSN 2347-3142 (online). www.arcjournals.org. pp 34-45. https://doi.org/10.20431/2347-3142.0403005.
- Niyotwizera, G and Safari B. (2024): Block Maxima Approach to study extreme Rainfall in Kigali. International Journal of Research in environmental Sciences. Vol. 10. ISSN No:(online) 2454-9444. www.arc.journal.org. https://doi.org/10.20431/2454-9444.1004002.
- Njoka, E.M. (2019): Occurrence and Effects of Droughts in sub-Saharan Africa. Books.google.com. pp 119-126. https://doi.org/10.2307/j.ctvh8qzhx.15.
- Oti D, Asante-Annor A, Bigson K, and Avane G, (2019): Rainstorm Intensity – Duration frequency model for Tarkwa, Ghana. Ghana mining jour-nal, vol. 19, No. 1 pp 21-28. https://doi.org/10.4314/gm.v19i1.3.
- Onwuegbuche F.C, Kenyyatta A, Affognon S.B and Enoch E. (2019): Applications of Extreme Value theory in Predicting Climate Change Induced Extreme Rainfall in Kenya. Vol.8, No.4: https://doi.org/10.5539/ijsp.v8n4p85.
- Paparoditis, E and Politis, D.N. (2016): The asymptotic size and power of the augmented Dickey–Fuller test for a unit root. Accessed 03/02/2025. https://doi.org/10.1080/00927872.2016.1178887.
- Redelsperger J, Thorncroft, C.D, Diedhiou A, Lebel T, Parker, D. J and Polcher, J. (2006): African Monsoon Multidisciplinary Analysis: An Inter-national Research Project and Field Campaign. Page(s): 1739–1746. https://doi.org/10.1175/BAMS-87-12-1739.
- Roehrig R, Bouniol D, Guichard F, Hourdin F, and Redelsperger J. (2013): The Present and Future of the West African Monsoon: A Process-Oriented Assessment of CMIP5 Simulations along the AMMA Transect. https://doi.org/10.1175/JCLI-D-12-00505.1.
- Rydman, M. (2018): Application of the Peaks-Over-Threshold Method on Insurance Data. U.U.D.M. Project Report.
- Safari, B. (2022): Modelling extreme rainfall with Block Maxima and Peak-Over threshold Methods in Rwanda. Research square. https://doi.org/10.21203/rs.3.rs-1764882/v1.
- Santa. S, Velez D, and Patino G. (2023): Analysis and prediction of PM2.5 in Medellin based on seasonal time series*. Publisher: IEEE. https://doi.org/10.1109/C358072.2023.10436185.
- Twenefour F.B.K, Quaicoe M.T and Baah E.M, (2018): Analysis of rainfall pattern in the Western Region of Ghana. Asian Journal of probability and statistics. 1(3), pp:1 – 12. https://doi.org/10.9734/ajpas/2018/v1i324538.
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How to Cite
Aboagye, E. A. ., Brew, P. ., & Odoi, D. B. . (2026). Modelling of Extreme Rainfall Patterns in Accra. International Journal of Basic and Applied Sciences, 15(2), 7-14. https://doi.org/10.14419/0c9qv646
