Sensitivity of Empirical Equation Parameters for the Calculation of Time of Concentration in Urbanized Watersheds
settingsOrder Article Reprints Open AccessArticle Sensitivity of Empirical Equation Parameters for the Calculation of Time of Concentration in Urbanized Watersheds by Jamilton Echeverri-Díaz 1,Óscar E. Coronado-Hernández 2,*ORCID,Gustavo Gatica 3ORCID,Rodrigo Linfati 4ORCID,Rafael D. Méndez-Anillo 2...
- Autores:
-
Echeverri-Díaz, Jamilton
Coronado-Hernández, Óscar E
Gatica, Gustavo
Linfati, Rodrigo
Méndez-Anillo, Rafael D.
Coronado-Hernández, Jairo R
- Tipo de recurso:
- Fecha de publicación:
- 2022
- Institución:
- Universidad Tecnológica de Bolívar
- Repositorio:
- Repositorio Institucional UTB
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.utb.edu.co:20.500.12585/12180
- Acceso en línea:
- https://hdl.handle.net/20.500.12585/12180
- Palabra clave:
- Linear regression analysis
Sensitivity analysis
Time of concentration
Urbanized watersheds
USDA NRCS
- Rights
- openAccess
- License
- http://creativecommons.org/licenses/by-nc-nd/4.0/
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dc.title.spa.fl_str_mv |
Sensitivity of Empirical Equation Parameters for the Calculation of Time of Concentration in Urbanized Watersheds |
title |
Sensitivity of Empirical Equation Parameters for the Calculation of Time of Concentration in Urbanized Watersheds |
spellingShingle |
Sensitivity of Empirical Equation Parameters for the Calculation of Time of Concentration in Urbanized Watersheds Linear regression analysis Sensitivity analysis Time of concentration Urbanized watersheds USDA NRCS |
title_short |
Sensitivity of Empirical Equation Parameters for the Calculation of Time of Concentration in Urbanized Watersheds |
title_full |
Sensitivity of Empirical Equation Parameters for the Calculation of Time of Concentration in Urbanized Watersheds |
title_fullStr |
Sensitivity of Empirical Equation Parameters for the Calculation of Time of Concentration in Urbanized Watersheds |
title_full_unstemmed |
Sensitivity of Empirical Equation Parameters for the Calculation of Time of Concentration in Urbanized Watersheds |
title_sort |
Sensitivity of Empirical Equation Parameters for the Calculation of Time of Concentration in Urbanized Watersheds |
dc.creator.fl_str_mv |
Echeverri-Díaz, Jamilton Coronado-Hernández, Óscar E Gatica, Gustavo Linfati, Rodrigo Méndez-Anillo, Rafael D. Coronado-Hernández, Jairo R |
dc.contributor.author.none.fl_str_mv |
Echeverri-Díaz, Jamilton Coronado-Hernández, Óscar E Gatica, Gustavo Linfati, Rodrigo Méndez-Anillo, Rafael D. Coronado-Hernández, Jairo R |
dc.subject.keywords.spa.fl_str_mv |
Linear regression analysis Sensitivity analysis Time of concentration Urbanized watersheds USDA NRCS |
topic |
Linear regression analysis Sensitivity analysis Time of concentration Urbanized watersheds USDA NRCS |
description |
settingsOrder Article Reprints Open AccessArticle Sensitivity of Empirical Equation Parameters for the Calculation of Time of Concentration in Urbanized Watersheds by Jamilton Echeverri-Díaz 1,Óscar E. Coronado-Hernández 2,*ORCID,Gustavo Gatica 3ORCID,Rodrigo Linfati 4ORCID,Rafael D. Méndez-Anillo 2 andJairo R. Coronado-Hernández 5ORCID 1 Departamento de Recursos Hídricos, Sertet SAS, Montería 230002, Colombia 2 Facultad de Ingeniería, Universidad Tecnológica de Bolívar, Cartagena 131001, Colombia 3 Faculty of Engineering—CIS, Universidad Andres Bello, Santiago de Chile 7500971, Chile 4 Department of Industrial Engineering, Universidad del Bío-Bío, Concepción 4030000, Chile 5 Departamento de Productividad e Innovación, Universidad de la Costa, Barranquilla 080001, Colombia * Author to whom correspondence should be addressed. Water 2022, 14(18), 2847; https://doi.org/10.3390/w14182847 Received: 17 August 2022 / Revised: 5 September 2022 / Accepted: 9 September 2022 / Published: 13 September 2022 (This article belongs to the Section Urban Water Management) Download Browse Figures Review Reports Versions Notes Abstract The time of concentration is the time it takes a drop of water in a basin to travel from the most distant point to the outlet, and is one of the most important parameters, along with the morphometric characteristics, for determining the design flow rate in rainfall-runoff models. This study aims to determine the sensitivity of the parameters included in different equations for the calculation of the time of concentration. A case study was conducted on small, urbanized watersheds in the city of Montería, Colombia. The study uses information obtained through field work using GPS equipment and electronic total station, supplemented by geographic information contained in the city drawings of the local sewage company, which includes data on elevations above sea level with sub-metric precision. The time of concentration determined by the 12 empirical equations was compared to the results obtained from the equation proposed by the Natural Resources Conservation Service (NRCS), which was considered as a baseline formulation for the intricacy of calculation. Based on this comparison, it was found that the Carter equation is the one that best fits the results obtained from the NRCS equation because it displayed highly significant goodness of fit values. Even though the equations by Kirpich, Ventura, California Culvert Practice, Simas-Hawkins and TxDOT provide a relatively good fit compared to other empirical equations, they tend to over-estimate time of concentration values, which could lead to the under-estimation of the design flow rates. For this reason, sensitivity analysis of the parameters of these equations represents an alternative for improving the calculation of the time of concentration. The current research analyses deepen the influence of some parameters in the estimation of time of concentration. The research can also be used by designers and engineers in the city of Montería, Colombia, as an important reference to compute time of concentrations in urbanized watersheds. |
publishDate |
2022 |
dc.date.issued.none.fl_str_mv |
2022-09-13 |
dc.date.accessioned.none.fl_str_mv |
2023-07-19T21:16:48Z |
dc.date.available.none.fl_str_mv |
2023-07-19T21:16:48Z |
dc.date.submitted.none.fl_str_mv |
2023-07 |
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http://purl.org/coar/version/c_b1a7d7d4d402bcce |
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dc.identifier.citation.spa.fl_str_mv |
: Echeverri-Díaz, J.; Coronado-Hernández, Ó.E.; Gatica, G.; Linfati, R.; Méndez-Anillo, R.D.; Coronado-Hernández, J.R. Sensitivity of Empirical Equation Parameters for the Calculation of Time of Concentration in Urbanized Watersheds. Water 2022, 14, 2847. https://doi.org/10.3390/w14182847 |
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https://hdl.handle.net/20.500.12585/12180 |
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10.3390/w14182847 |
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Universidad Tecnológica de Bolívar |
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Repositorio Universidad Tecnológica de Bolívar |
identifier_str_mv |
: Echeverri-Díaz, J.; Coronado-Hernández, Ó.E.; Gatica, G.; Linfati, R.; Méndez-Anillo, R.D.; Coronado-Hernández, J.R. Sensitivity of Empirical Equation Parameters for the Calculation of Time of Concentration in Urbanized Watersheds. Water 2022, 14, 2847. https://doi.org/10.3390/w14182847 10.3390/w14182847 Universidad Tecnológica de Bolívar Repositorio Universidad Tecnológica de Bolívar |
url |
https://hdl.handle.net/20.500.12585/12180 |
dc.language.iso.spa.fl_str_mv |
eng |
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eng |
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info:eu-repo/semantics/openAccess |
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Attribution-NonCommercial-NoDerivatives 4.0 Internacional |
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openAccess |
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20 páginas |
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application/pdf |
dc.publisher.place.spa.fl_str_mv |
Cartagena de Indias |
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Water (Switzerland) - Vol. 14 No 18 (2022) |
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Universidad Tecnológica de Bolívar |
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Echeverri-Díaz, Jamiltonbdfadad6-375e-41f0-ace3-b75ced133afdCoronado-Hernández, Óscar Eb47200b6-5b93-42e3-b9ee-3c619bcec915Gatica, Gustavofe6fa1c9-2c41-4f0b-9b8c-8dbc65eb42a0Linfati, Rodrigo79103349-d6c9-4052-8457-67d85d6af70bMéndez-Anillo, Rafael D.71c173a5-1650-472b-9e77-f3d164196c6cCoronado-Hernández, Jairo R86b71d5d-cfcc-464b-9792-545bb0afd5a52023-07-19T21:16:48Z2023-07-19T21:16:48Z2022-09-132023-07: Echeverri-Díaz, J.; Coronado-Hernández, Ó.E.; Gatica, G.; Linfati, R.; Méndez-Anillo, R.D.; Coronado-Hernández, J.R. Sensitivity of Empirical Equation Parameters for the Calculation of Time of Concentration in Urbanized Watersheds. Water 2022, 14, 2847. https://doi.org/10.3390/w14182847https://hdl.handle.net/20.500.12585/1218010.3390/w14182847Universidad Tecnológica de BolívarRepositorio Universidad Tecnológica de BolívarsettingsOrder Article Reprints Open AccessArticle Sensitivity of Empirical Equation Parameters for the Calculation of Time of Concentration in Urbanized Watersheds by Jamilton Echeverri-Díaz 1,Óscar E. Coronado-Hernández 2,*ORCID,Gustavo Gatica 3ORCID,Rodrigo Linfati 4ORCID,Rafael D. Méndez-Anillo 2 andJairo R. Coronado-Hernández 5ORCID 1 Departamento de Recursos Hídricos, Sertet SAS, Montería 230002, Colombia 2 Facultad de Ingeniería, Universidad Tecnológica de Bolívar, Cartagena 131001, Colombia 3 Faculty of Engineering—CIS, Universidad Andres Bello, Santiago de Chile 7500971, Chile 4 Department of Industrial Engineering, Universidad del Bío-Bío, Concepción 4030000, Chile 5 Departamento de Productividad e Innovación, Universidad de la Costa, Barranquilla 080001, Colombia * Author to whom correspondence should be addressed. Water 2022, 14(18), 2847; https://doi.org/10.3390/w14182847 Received: 17 August 2022 / Revised: 5 September 2022 / Accepted: 9 September 2022 / Published: 13 September 2022 (This article belongs to the Section Urban Water Management) Download Browse Figures Review Reports Versions Notes Abstract The time of concentration is the time it takes a drop of water in a basin to travel from the most distant point to the outlet, and is one of the most important parameters, along with the morphometric characteristics, for determining the design flow rate in rainfall-runoff models. This study aims to determine the sensitivity of the parameters included in different equations for the calculation of the time of concentration. A case study was conducted on small, urbanized watersheds in the city of Montería, Colombia. The study uses information obtained through field work using GPS equipment and electronic total station, supplemented by geographic information contained in the city drawings of the local sewage company, which includes data on elevations above sea level with sub-metric precision. The time of concentration determined by the 12 empirical equations was compared to the results obtained from the equation proposed by the Natural Resources Conservation Service (NRCS), which was considered as a baseline formulation for the intricacy of calculation. Based on this comparison, it was found that the Carter equation is the one that best fits the results obtained from the NRCS equation because it displayed highly significant goodness of fit values. Even though the equations by Kirpich, Ventura, California Culvert Practice, Simas-Hawkins and TxDOT provide a relatively good fit compared to other empirical equations, they tend to over-estimate time of concentration values, which could lead to the under-estimation of the design flow rates. For this reason, sensitivity analysis of the parameters of these equations represents an alternative for improving the calculation of the time of concentration. The current research analyses deepen the influence of some parameters in the estimation of time of concentration. The research can also be used by designers and engineers in the city of Montería, Colombia, as an important reference to compute time of concentrations in urbanized watersheds.20 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 (Switzerland) - Vol. 14 No 18 (2022)Sensitivity of Empirical Equation Parameters for the Calculation of Time of Concentration in Urbanized Watershedsinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/drafthttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/version/c_b1a7d7d4d402bccehttp://purl.org/coar/resource_type/c_2df8fbb1Linear regression analysisSensitivity analysisTime of concentrationUrbanized watershedsUSDA NRCSCartagena de IndiasGonzález-álvarez, A., Viloria-Marimón, O.M., Coronado-Hernández, O.E., Vélez-Pereira, A.M., Tesfagiorgis, K., Coronado-Hernández, J.R. Isohyetal maps of daily maximum rainfall for different return periods for the Colombian Caribbean Region (2019) Water (Switzerland), 11 (2), art. no. 358. Cited 17 times. https://res.mdpi.com/water/water-11-00358/article_deploy/water-11-00358.pdf doi: 10.3390/w11020358Vahabzadeh, G., Saleh, I., Safari, A., Khosravi, K., Vahabzadeh, G., Saleh, I., Safari, A., (...), Khosravi, K. Determination of the best method of estimating the time of concentration in pasture watersheds (case study: Banadak Sadat and Siazakh Watersheds, Iran) (2013) J. Biodivers. Environ. Sci, 3, pp. 150-159. Cited 4 times.Upegui, J.J.V., Gutiérrez, A.B. Estimation of the time of concentration and the lag time at san Luis creek basin, Manizales (2011) DYNA (Colombia), 78 (165), pp. 58-71. Cited 12 times. http://www.scielo.org.co/pdf/dyna/v78n165/a06v78n165.pdfAvila, L., Ávila, H. Hazard Analysis in Urban Streets Due to Flash Floods: Case Study of Barranquilla, Colombia (2016) World Environmental And Water Resources Congress 2016: Water, Wastewater, and Stormwater and Urban Watershed Symposium - Papers from Sessions of the Proceedings of the 2016 World Environmental and Water Resources Congress, pp. 144-154. ISBN: 978-078447988-9 doi: 10.1061/9780784479889.016Salimi, E.T., Nohegar, A., Malekian, A., Hoseini, M., Holisaz, A. Estimating time of concentration in large watersheds (2017) Paddy and Water Environment, 15 (1), pp. 123-132. Cited 29 times. http://www.springerlink.com/content/1611-2490 doi: 10.1007/s10333-016-0534-2McCuen, R.H., Wong, S.L., Rawls, W.J. Estimating urban time of concentration (1984) Journal of Hydraulic Engineering, 110 (7), pp. 887-904. Cited 102 times. doi: 10.1061/(ASCE)0733-9429(1984)110:7(887)Amatya, D., Cupak, A., Walega, A. Influence of tIme of concentratIon on variation of runoff from a small urbanized watershed (2015) Geomat. Landmanagement Landsc, 2, pp. 7-19. Cited 4 times.Ibáñez, S.A., Moreno, H.R., Gisbert, J.M.B. (2011) Métodos Para la Determinación del Tiempo de Concentración (tc) de una Cuenca Hidrográfica Universidad Politecnica de Valencia, Valencia, SpainGrimaldi, S., Petroselli, A., Tauro, F., Porfiri, M. Time of concentration: a paradox in modern hydrology (2012) Hydrological Sciences Journal, 57 (2), pp. 217-228. Cited 111 times. doi: 10.1080/02626667.2011.644244Fang, X., Thompson, D.B., Cleveland, T.G., Pradhan, P. Variations of time of concentration estimates using NRCS velocity method (2007) Journal of Irrigation and Drainage Engineering, 133 (4), pp. 314-322. Cited 22 times. doi: 10.1061/(ASCE)0733-9437(2007)133:4(314)de Almeida, I.K., Almeida, A.K., Anache, J.A.A., Steffen, J.L., Alves Sobrinho, T. Estimation on time of concentration of overland flow in watersheds: A review (2014) Geociencias, 33 (4), pp. 661-671. Cited 34 times. http://www.revistageociencias.com.br/33/volume33_4_files/33-4-artigo-9.pdfGericke, O.J., Smithers, J.C. Review of methods used to estimate catchment response time for the purpose of peak discharge estimation (2014) Hydrological Sciences Journal, 59 (11), pp. 1935-1971. Cited 93 times. http://www.tandfonline.com/loi/thsj20 doi: 10.1080/02626667.2013.866712Sharifi, S., Hosseini, S.M. Methodology for identifying the best equations for estimating the time of concentration of watersheds in a particular region (2011) Journal of Irrigation and Drainage Engineering, 137 (11), pp. 712-719. Cited 39 times. doi: 10.1061/(ASCE)IR.1943-4774.0000373(1986) Urban Hydrology for Small Watersheds, Technical Release 55 (TR-55). Cited 1712 times. U.S. Department of Agriculture Natural Resources Conservation Service (USDA-NRSC), C.E.D., Washington, DC, USAKirpich, Z.P. Time of concentration of small agricultural watersheds (1940) Civ. Eng, 10, p. 362. Cited 364 times.Gericke, O.J., Smithers, J.C. Are estimates of catchment response time inconsistent as used in current flood hydrology practice in South Africa? (2016) Journal of the South African Institution of Civil Engineering, 58 (1), pp. 2-15. Cited 9 times. http://reference.sabinet.co.za/webx/access/electronic_journals/civileng/civileng_v58_n1_a1.pdf doi: 10.17159/2309-8775/2016/v58n1a1Miller, W. Evolving a shortcut for design of storm sewers (1951) Munic, 89, pp. 42-59. Cited 4 times.Highways, C.D.O. (1960) California Culvert Practice. Cited 5 times. Department of Public Works, Division of Highways, Sacramento, CA, USARavazzani, G., Boscarello, L., Cislaghi, A., Mancini, M. Review of Time-of-Concentration Equations and a New Proposal in Italy (2019) Journal of Hydrologic Engineering, 24 (10), art. no. 04019039. Cited 10 times. https://ascelibrary.org/journal/jhyeff doi: 10.1061/(ASCE)HE.1943-5584.0001818Carter, R.W. (1961) Magnitude and Frequency of Floods in Suburban Areas. Cited 53 times. U.S. Geological Survey, Reston, VA, USA(1970) Airport Drainage. Cited 17 times. Department of Transport Advisory Circular, Washington, DC, USAWelle, P.I., Woodward, D. (1986) Engineering Hydrology—Time of Concentration. Cited 4 times. Bloomsbury Publishing, London, UK(1994) Hydraulic Design Manual (Revised). Cited 3 times. Texas Department of Transportation, Austin, TX, USALi, M.-H., Chibber, P. Overland flow time of concentration on very flat terrains (2008) Transportation Research Record, (2060), pp. 133-140. Cited 31 times. http://trb.metapress.com/content/t6420663h0876157/fulltext.pdf doi: 10.3141/2060-15Li, M.H., Chibber, P., Cahill, A.T. Estimating time of concentration of overland flow on very flat terrains (Open Access) (2005) 2005 ASAE Annual International Meeting. Cited 5 times.Chow, T., Maidment, D., Mays, L. (1988) Applied Hydrology. Cited 4195 times. McGraw-Hill, New York, NY, USAWilliams, G. Flood discharges and the dimensions of spillways in India (1922) Engineering, 134, pp. 321-322. Cited 34 times.Fang, X., Thompson, D.B., Cleveland, T.G., Pradhan, P., Malla, R. Time of concentration estimated using watershed parameters determined by automated and manual methods (2008) Journal of Irrigation and Drainage Engineering, 134 (2), pp. 202-211. Cited 72 times. doi: 10.1061/(ASCE)0733-9437(2008)134:2(202)Kerby, W.S. Time of concentration for overland flow (1959) Civ. Eng, 29, p. 60. Cited 66 times.González-Álvarez, A., Molina-Pérez, J., Meza-Zúñiga, B., Viloria-Marimón, O.M., Tesfagiorgis, K., Mouthón-Bello, J.A. Assessing the performance of different time of concentration equations in urban ungauged watersheds: Case study of Cartagena de Indias, Colombia (2020) Hydrology, 7 (3), art. no. 47. Cited 8 times. http://res.mdpi.com/d_attachment/hydrology/hydrology-07-00047/article_deploy/hydrology-07-00047-v2.pdf doi: 10.3390/HYDROLOGY7030047Coronado-Hernández, O.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 (Open Access) (2020) Water (Switzerland), 12 (5), art. no. 1397. Cited 18 times. https://www.mdpi.com/2073-4441/12/5/1397 doi: 10.3390/W12051397Kobiyama, M., Grison, F., Lino, J.F.L., Silva, R.V. Time of concentration in the UFSC campus catchment, Florianópolis-SC (Brazil), calculated with morfometric and hydrological methods Proceedings of the Regional Conference on Geomorphology, UFG-IUG, 110. Goiania, Brazil, 6–10 September 2006Krisnayanti, D.S., Bunganaen, W., Frans, J.H., Seran, Y.A., Legono, D. Curve number estimation for ungauged watershed in semiarid region (Open Access) (2021) Civil Engineering Journal (Iran), 7 (6), pp. 1070-1083. Cited 51 times. https://www.civilejournal.org/index.php/cej/article/download/2735/pdf doi: 10.28991/cej-2021-03091711Michailidi, E.M., Antoniadi, S., Koukouvinos, A., Bacchi, B., Efstratiadis, A. Timing the time of concentration: shedding light on a paradox (Open Access) (2018) Hydrological Sciences Journal, 63 (5), pp. 721-740. Cited 41 times. http://www.tandfonline.com/loi/thsj20 doi: 10.1080/02626667.2018.1450985Lopes, A.L. Performance of time of concentration formulas for urban and rural basins (2005) Rev. Bras. Recur. Hídricos, 10, pp. 5-23. 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