Selection of hydrological probability distributions for extreme rainfall events in the regions of Colombia

Frequency analysis of extreme events is used to estimate the maximum rainfall associated with different return periods and is used in planning hydraulic structures. When carrying out this type of analysis in engineering projects, the hydrological distributions that best fit the trend of maximum 24 h...

Full description

Autores:
Coronado Hernández, Óscar Enrique
Merlano-Sabalza, Ernesto
Díaz-Vergara, Zaid
Coronado Hernández, Jairo Rafael
Tipo de recurso:
Fecha de publicación:
2020
Institución:
Universidad Tecnológica de Bolívar
Repositorio:
Repositorio Institucional UTB
Idioma:
eng
OAI Identifier:
oai:repositorio.utb.edu.co:20.500.12585/9524
Acceso en línea:
https://hdl.handle.net/20.500.12585/9524
https://www.mdpi.com/2073-4441/12/5/1397
Palabra clave:
Maximum rainfall
Colombia
Regionalization
Probability distribution
Rights
openAccess
License
http://creativecommons.org/licenses/by-nc-nd/4.0/
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dc.title.spa.fl_str_mv Selection of hydrological probability distributions for extreme rainfall events in the regions of Colombia
title Selection of hydrological probability distributions for extreme rainfall events in the regions of Colombia
spellingShingle Selection of hydrological probability distributions for extreme rainfall events in the regions of Colombia
Maximum rainfall
Colombia
Regionalization
Probability distribution
title_short Selection of hydrological probability distributions for extreme rainfall events in the regions of Colombia
title_full Selection of hydrological probability distributions for extreme rainfall events in the regions of Colombia
title_fullStr Selection of hydrological probability distributions for extreme rainfall events in the regions of Colombia
title_full_unstemmed Selection of hydrological probability distributions for extreme rainfall events in the regions of Colombia
title_sort Selection of hydrological probability distributions for extreme rainfall events in the regions of Colombia
dc.creator.fl_str_mv Coronado Hernández, Óscar Enrique
Merlano-Sabalza, Ernesto
Díaz-Vergara, Zaid
Coronado Hernández, Jairo Rafael
dc.contributor.author.none.fl_str_mv Coronado Hernández, Óscar Enrique
Merlano-Sabalza, Ernesto
Díaz-Vergara, Zaid
Coronado Hernández, Jairo Rafael
dc.subject.keywords.spa.fl_str_mv Maximum rainfall
Colombia
Regionalization
Probability distribution
topic Maximum rainfall
Colombia
Regionalization
Probability distribution
description Frequency analysis of extreme events is used to estimate the maximum rainfall associated with different return periods and is used in planning hydraulic structures. When carrying out this type of analysis in engineering projects, the hydrological distributions that best fit the trend of maximum 24 h rainfall data are unknown. This study collected maximum 24 h rainfall records from 362 stations distributed throughout Colombia, with the goal of guiding hydraulic planners by suggesting the probability distributions they should use before beginning their analysis. The generalized extreme value (GEV) probability distribution, using the weighted moments method, presented the best fits of frequency analysis of maximum daily precipitation for various return periods for selected rainfall stations in Colombia.
publishDate 2020
dc.date.accessioned.none.fl_str_mv 2020-10-30T21:38:00Z
dc.date.available.none.fl_str_mv 2020-10-30T21:38:00Z
dc.date.issued.none.fl_str_mv 2020-05-14
dc.date.submitted.none.fl_str_mv 2020-10-30
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dc.identifier.citation.spa.fl_str_mv Coronado-Hernández, Ó.E.; Merlano-Sabalza, E.; Díaz-Vergara, Z.; Coronado-Hernández, J.R. Selection of Hydrological Probability Distributions for Extreme Rainfall Events in the Regions of Colombia. Water 2020, 12, 1397.
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/20.500.12585/9524
dc.identifier.url.none.fl_str_mv https://www.mdpi.com/2073-4441/12/5/1397
dc.identifier.doi.none.fl_str_mv 10.3390/w12051397
dc.identifier.instname.spa.fl_str_mv Universidad Tecnológica de Bolívar
dc.identifier.reponame.spa.fl_str_mv Repositorio Universidad Tecnológica de Bolívar
identifier_str_mv Coronado-Hernández, Ó.E.; Merlano-Sabalza, E.; Díaz-Vergara, Z.; Coronado-Hernández, J.R. Selection of Hydrological Probability Distributions for Extreme Rainfall Events in the Regions of Colombia. Water 2020, 12, 1397.
10.3390/w12051397
Universidad Tecnológica de Bolívar
Repositorio Universidad Tecnológica de Bolívar
url https://hdl.handle.net/20.500.12585/9524
https://www.mdpi.com/2073-4441/12/5/1397
dc.language.iso.spa.fl_str_mv eng
language eng
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eu_rights_str_mv openAccess
dc.format.extent.none.fl_str_mv 12 páginas
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.place.spa.fl_str_mv Cartagena de Indias
dc.source.spa.fl_str_mv Water 2020, 12(5)
institution Universidad Tecnológica de Bolívar
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spelling Coronado Hernández, Óscar Enriqueb47200b6-5b93-42e3-b9ee-3c619bcec915Merlano-Sabalza, Ernesto7b3c2995-9406-4563-9e3d-48ec4f64cab2Díaz-Vergara, Zaid7c0f8da4-6ea3-4d64-99c9-8b2ec6025479Coronado Hernández, Jairo Rafael86b71d5d-cfcc-464b-9792-545bb0afd5a52020-10-30T21:38:00Z2020-10-30T21:38:00Z2020-05-142020-10-30Coronado-Hernández, Ó.E.; Merlano-Sabalza, E.; Díaz-Vergara, Z.; Coronado-Hernández, J.R. Selection of Hydrological Probability Distributions for Extreme Rainfall Events in the Regions of Colombia. Water 2020, 12, 1397.https://hdl.handle.net/20.500.12585/9524https://www.mdpi.com/2073-4441/12/5/139710.3390/w12051397Universidad Tecnológica de BolívarRepositorio Universidad Tecnológica de BolívarFrequency analysis of extreme events is used to estimate the maximum rainfall associated with different return periods and is used in planning hydraulic structures. When carrying out this type of analysis in engineering projects, the hydrological distributions that best fit the trend of maximum 24 h rainfall data are unknown. This study collected maximum 24 h rainfall records from 362 stations distributed throughout Colombia, with the goal of guiding hydraulic planners by suggesting the probability distributions they should use before beginning their analysis. The generalized extreme value (GEV) probability distribution, using the weighted moments method, presented the best fits of frequency analysis of maximum daily precipitation for various return periods for selected rainfall stations in Colombia.12 páginasapplication/pdfenghttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://purl.org/coar/access_right/c_abf2Water 2020, 12(5)Selection of hydrological probability distributions for extreme rainfall events in the regions of Colombiainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArtículohttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_2df8fbb1Maximum rainfallColombiaRegionalizationProbability distributionCartagena de IndiasPúblico generalChow, V.T.; Maidment, D.R.; Mays, L.W. Applied Hydrology; McGraw-Hill: Bogotá, Colombia, 1994.Frechet, M. Sur la loi de probabilité de l’ecart máximum (On the probability law of máximum values). Ann. de la Soc. Pol. de Math. 1927, 6, 93–116.Maidment, D. Handbook of Hydrology; Mc Graw-Hill: New York, NY, USA, 1992.Clarke, R.T.; Dias de Paiva, R.; Bertacchi, C. Comparison of methods for analysis of extremes when records are fragmented: A case study using Amazon basin rainfall data. J. Hydrol. 2009, 368, 26–29.Bedient, P.B.; Huber, W.C. Hydrology and Floodplain Analysis. Prentice-Hall: Upper Saddle River, NJ, USA, 2002; pp. 168–224.Arnaez, J.; Lasanta, T.; Ruiz-Flaño, P.; Ortigosa, L. Factors affecting runoff and erosion under simulated rainfall in Mediterranean vineyards. Soil Tillage Res. 2007, 93, 324–334.Gonzalez-Alvarez, A.; Coronado-Hernández, O.E.; Fuertes-Miquel, V.S.; Ramos, H.M. Effect of the Non-Stationarity of Rainfall Events on the Design of Hydraulic Structures for Runoff Management and Its Applications to a Case Study at Gordo Creek Watershed in Cartagena de Indias. Colomb. Fluids 2018, 3, 27Obeysekera, J.; Salas, J.D. Quantifying the uncertainty of design floods under nonstationary conditions. J. Hydrol. Eng. 2014, 19, 1438–1446.Obeysekera, J.; Salas, J.D. Frequency of recurrent extremes under nonstationarity. J. Hydrol. Eng. 2016, 21, 04016005.Yang, T.; Shao, Q.; Hao, Z.-C.; Chen, X.; Zhang, Z.; Xu, C.-Y.; Sun, L. Regional frequency analysis and spatio-temporal pattern characterization of rainfall extremes in the Pearl River Basin, China. J. Hydrol. 2009, 380, 386–405.Nunn, Dwight. Ingetec, S.A-Empresa de Acueducto y Alcantarillado de Bogotá. In Estimating of Maximum Daily Precipitation of Tributaries of Bogotá River; Ingetec: Bogotá, Colombia, 1968.Pathak, C.S. Frequency analysis of rainfall maximums for Central and South Florida, Technical Publication EMA # 390. 2001. Available online: http://my.sfwmd.gov/portal/page/portal/pg_grp_tech_pubs/portlet_tech_pubs/ema-390.pdf (accessed on 12 March 2018).Gumbel, E.J. The return period of flood flows. Ann. Math. Stat. 1941, 2, 163–190.Weibull, W. A statistical theory of the strength of materials. In Proceedings of the Ingeniors Vetenskaps Akademien (The Royal Swedish Institute for Engineering Research) No. 51, Stockholm, Sweden, 1 Januray 1939; 1939; pp. 5–45.Grego, J.M.; Yates, P.A. Point and standard error estimation for quantiles of mixed flood distribution. J. Hydrol. 2010, 391, 289–301.Koutrouvelisa, I.A.; Canavos, G.C. A comparison of moment-based methods of estimation for thelogPearson type 3 distribution. J. Hydrol. 2000, 234, 71–81.Xuewu, J.; Jing, D.; Shen, H.W.; Salas, J.D. Plotting positions for Pearson type-III distribution. J. Hydrol. 2003, 74, 1–29.Makkonen, L. Problems in the extreme value analysis. Struct. Saf. 2006, 30, 405–419.Kolmogorov, A.N. Sulla determinazione empirica di una legge di distribuzione. G. dell’Instituto Ital. degli Attuari 1933, 4, 83–91.Smirnov, N.V. Estimate of deviation between empirical distribution functions in two independent samples. Bull. Mosc. Univ. 1939, 2, 3–16.Smirnov, N.V. Table for estimating the goodness of fit of empirical distributions. Ann. Math. Stat. 1948, 19, 279–281.Mahdi, S.; Cenac, M. Estimating Parameters of Gumbel Distribution using the Methods of Moments, Probability Weighted Moments and Maximum Likelihood. Rev. de Matemáticas Teoría y Apl. 2005, 12, 151–156.Seckin, N.; Yurtal, R.; Haktanir, T.; Dogan, A. Comparison of Probability Weighted Moments and Maximum Likelihood Methods Used in Flood Frequency Analysis for Ceyhan River Basin. Arab. J. Sci. Eng. 2009, 35, 49–69.Ministerio de Vivienda, Ciudad y Territorio. República de Colombia. Resolution 0330 of 8 June 2017. Available online: http://www.minvivienda.gov.co/ResolucionesAgua/0330%20-%202017.pdf (accessed on 20 March 2020).Ministerio de Transporte, Instituto Nacional de Vías. República de Colombia. Manual on Drainage Design for Highways. 2009. Available online: https://www.invias.gov.co/index.php/archivo-y-documentos/documentos-tecnicos/especificaciones-tecnicas/984-manual-de-drenaje-para-carreteras/file (accessed on 20 March 2020).Gonzalez-Alvarez, A.; Viloria-Marimón, O.; Coronado-Hernández, O.E.; Vélez-Pereira, A.; Tesfagiorgis, K.; Coronado-Hernández, J. Isohyetal Maps of Daily Maximum Rainfall for Different Return Periods for the Colombian Caribbean Region. Water 2019, 11, 358.Krishnamoorthy, K.; Peng, J. Some properties of the exact and score methods for binomial proportion and sample size calculation. Commun. Stat. Simul. Comput. 2007, 36, 1171–1186.El Adlouni, S.; Bobée, B. Hydrological Frequency Analysis Using HYFRAN-PLUS Software. User’s Guide available with the software DEMO 2015. 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