Assessment of baseflow separation methods used in the estimations of design-related storm hydrographs across various return periods

Contiene gráficos

Autores:
Coronado Hernández, Óscar Enrique
Méndez Anillo, Rafael David
Saba, Manuel
Tipo de recurso:
Fecha de publicación:
2025
Institución:
Universidad Tecnológica de Bolívar
Repositorio:
Repositorio Institucional UTB
Idioma:
eng
OAI Identifier:
oai:repositorio.utb.edu.co:20.500.12585/14097
Acceso en línea:
https://hdl.handle.net/20.500.12585/14097
https://doi.org/10.3390/hydrology12060158
Palabra clave:
Baseflow separation
Return period
Stream gauging stations
Storm hydrographs
Hydrographs
Flood forecasting
Hydrologic models
Watersheds -- Colombia
Base flow (Hydrology)
Runoff -- Measurement
Extreme value theory (Statistics)
Drainage basins -- Design and construction
Frequency analysis (Hydrology)
Pearson distribution
Generalized extreme value distribution
Storms -- Environmental aspects
Streamflow -- Measurement
2. Ingeniería y Tecnología::2A. Ingeniería Civil
ODS 6: Agua limpia y saneamiento. Garantizar la disponibilidad y la gestión sostenible del agua y el saneamiento para todos
Rights
openAccess
License
https://creativecommons.org/licenses/by/4.0/
id UTB2_ff3c965a02510fec9d0f3c58af8f5b97
oai_identifier_str oai:repositorio.utb.edu.co:20.500.12585/14097
network_acronym_str UTB2
network_name_str Repositorio Institucional UTB
repository_id_str
dc.title.none.fl_str_mv Assessment of baseflow separation methods used in the estimations of design-related storm hydrographs across various return periods
title Assessment of baseflow separation methods used in the estimations of design-related storm hydrographs across various return periods
spellingShingle Assessment of baseflow separation methods used in the estimations of design-related storm hydrographs across various return periods
Baseflow separation
Return period
Stream gauging stations
Storm hydrographs
Hydrographs
Flood forecasting
Hydrologic models
Watersheds -- Colombia
Base flow (Hydrology)
Runoff -- Measurement
Extreme value theory (Statistics)
Drainage basins -- Design and construction
Frequency analysis (Hydrology)
Pearson distribution
Generalized extreme value distribution
Storms -- Environmental aspects
Streamflow -- Measurement
2. Ingeniería y Tecnología::2A. Ingeniería Civil
ODS 6: Agua limpia y saneamiento. Garantizar la disponibilidad y la gestión sostenible del agua y el saneamiento para todos
title_short Assessment of baseflow separation methods used in the estimations of design-related storm hydrographs across various return periods
title_full Assessment of baseflow separation methods used in the estimations of design-related storm hydrographs across various return periods
title_fullStr Assessment of baseflow separation methods used in the estimations of design-related storm hydrographs across various return periods
title_full_unstemmed Assessment of baseflow separation methods used in the estimations of design-related storm hydrographs across various return periods
title_sort Assessment of baseflow separation methods used in the estimations of design-related storm hydrographs across various return periods
dc.creator.fl_str_mv Coronado Hernández, Óscar Enrique
Méndez Anillo, Rafael David
Saba, Manuel
dc.contributor.author.none.fl_str_mv Coronado Hernández, Óscar Enrique
Méndez Anillo, Rafael David
Saba, Manuel
dc.contributor.researchgroup.none.fl_str_mv Grupo de Investigación Sistemas Ambientales e Hidráulicos (GISAH)
dc.subject.proposal.none.fl_str_mv Baseflow separation
Return period
Stream gauging stations
Storm hydrographs
topic Baseflow separation
Return period
Stream gauging stations
Storm hydrographs
Hydrographs
Flood forecasting
Hydrologic models
Watersheds -- Colombia
Base flow (Hydrology)
Runoff -- Measurement
Extreme value theory (Statistics)
Drainage basins -- Design and construction
Frequency analysis (Hydrology)
Pearson distribution
Generalized extreme value distribution
Storms -- Environmental aspects
Streamflow -- Measurement
2. Ingeniería y Tecnología::2A. Ingeniería Civil
ODS 6: Agua limpia y saneamiento. Garantizar la disponibilidad y la gestión sostenible del agua y el saneamiento para todos
dc.subject.armarc.none.fl_str_mv Hydrographs
Flood forecasting
Hydrologic models
Watersheds -- Colombia
Base flow (Hydrology)
Runoff -- Measurement
Extreme value theory (Statistics)
Drainage basins -- Design and construction
Frequency analysis (Hydrology)
Pearson distribution
Generalized extreme value distribution
Storms -- Environmental aspects
Streamflow -- Measurement
dc.subject.ocde.none.fl_str_mv 2. Ingeniería y Tecnología::2A. Ingeniería Civil
dc.subject.ods.none.fl_str_mv ODS 6: Agua limpia y saneamiento. Garantizar la disponibilidad y la gestión sostenible del agua y el saneamiento para todos
description Contiene gráficos
publishDate 2025
dc.date.accessioned.none.fl_str_mv 2025-07-08T13:29:40Z
dc.date.issued.none.fl_str_mv 2025-06-19
dc.type.none.fl_str_mv Artículo de revista
dc.type.coar.fl_str_mv http://purl.org/coar/resource_type/c_2df8fbb1
dc.type.driver.none.fl_str_mv info:eu-repo/semantics/article
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dc.type.content.none.fl_str_mv Text
dc.type.version.none.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.coarversion.none.fl_str_mv http://purl.org/coar/version/c_970fb48d4fbd8a85
status_str publishedVersion
dc.identifier.citation.none.fl_str_mv Coronado-Hernández, O. E., Méndez-Anillo, R. D., & Saba, M. (2025). Assessment of Baseflow Separation Methods Used in the Estimations of Design-Related Storm Hydrographs Across Various Return Periods. Hydrology, 12(6), 158. https://doi.org/10.3390/hydrology12060158
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/20.500.12585/14097
dc.identifier.doi.none.fl_str_mv https://doi.org/10.3390/hydrology12060158
identifier_str_mv Coronado-Hernández, O. E., Méndez-Anillo, R. D., & Saba, M. (2025). Assessment of Baseflow Separation Methods Used in the Estimations of Design-Related Storm Hydrographs Across Various Return Periods. Hydrology, 12(6), 158. https://doi.org/10.3390/hydrology12060158
url https://hdl.handle.net/20.500.12585/14097
https://doi.org/10.3390/hydrology12060158
dc.language.iso.none.fl_str_mv eng
language eng
dc.relation.references.none.fl_str_mv Basso, S.; Merz, R.; Tarasova, L.; Miniussi, A. Extreme Flooding Controlled by Stream Network Organization and Flow Regime. Nat. Geosci. 2023, 16, 339–343.
Chikamori, H. Rainfall-Runoff Analysis of Flooding Caused by Typhoon RUSA in 2002 in the Gangneung Namdae River Basin, Korea. J. Nat. Disaster Sci. 2004, 26, 95–100.
Crookston, B.M.; Erpicum, S. Hydraulic Engineering of Dams. J. Hydraul. Res. 2022, 60, 184–186.
Assaf, M.N.; Manenti, S.; Creaco, E.; Giudicianni, C.; Tamellini, L.; Todeschini, S. New Optimization Strategies for SWMM Modeling of Stormwater Quality Applications in Urban Area. J. Environ. Manag. 2024, 361, 121244.
Dotto, C.B.S.; Kleidorfer, M.; Deletic, A.; Fletcher, T.D.; McCarthy, D.T.; Rauch, W. Stormwater Quality Models: Performance and Sensitivity Analysis. Water Sci. Technol. 2010, 62, 837–843.
Chow, V.T.; Maidment, D.R.; Mays, L.W. Applied Hydrology; McGraw-Hill International Editions: New York, NY, USA, 1988; ISBN 0-07-010810-2.
Ross, C.A.; Ali, G.; Bansah, S.; Laing, J.R. Evaluating the Relative Importance of Shallow Subsurface Flow in a Prairie Landscape. Vadose Zone J. 2017, 16, 1–20.
Bronstert, A.; Niehoff, D.; Schiffler, G.R. Modelling Infiltration and Infiltration Excess: The Importance of Fast and Local Processes. Hydrol. Process. 2023, 37, e14875.
Barthel, R.; Banzhaf, S. Groundwater and Surface Water Interaction at the Regional-Scale—A Review with Focus on Regional Integrated Models. Water Resour. Manag. 2016, 30, 1–32
Nogueira, G.E.H.; Partington, D.; Heidbüchel, I.; Fleckenstein, J.H. Combined Effects of Geological Heterogeneity and Discharge Events on Groundwater and Surface Water Mixing. J. Hydrol. 2024, 638, 131467.
Aranguren-Díaz, Y.; Galán-Freyle, N.J.; Guerra, A.; Manares-Romero, A.; Pacheco-Londoño, L.C.; Romero-Coronado, A.; Vidal-Figueroa, N.; Machado-Sierra, E. Aquifers and Groundwater: Challenges and Opportunities in Water Resource Management in Colombia. Water 2024, 16, 685.
Briggs, M.A.; Newman, C.; Benton, J.R.; Rey, D.M.; Konrad, C.P.; Ouellet, V.; Torgersen, C.E.; Gruhn, L.; Fleming, B.J.; Gazoorian, C.; et al. James Buttle Review: The Characteristics of Baseflow Resilience Across Diverse Ecohydrological Terrains. Hydrol. Process. 2025, 39, e70101.
Baig, F.; Sherif, M.; Faiz, M.A. Quantification of Precipitation and Evapotranspiration Uncertainty in Rainfall-Runoff Modeling. Hydrology 2022, 9, 51.
Jehanzaib, M.; Ajmal, M.; Achite, M.; Kim, T.-W. Comprehensive Review: Advancements in Rainfall-Runoff Modelling for Flood Mitigation. Climate 2022, 10, 147.
Rivera Trejo, F.; Escalante Sandoval, C. Análisis Comparativo de Técnicas de Estimación de Avenidas de Diseño. Ing. Del Agua 1999, 6, 49–54.
Coronado-Hernández, O.E.; Fuertes-Miquel, V.S.; Arrieta-Pastrana, A. The Development of a Hydrological Method for Computing Extreme Hydrographs in Engineering Dam Projects. Hydrology 2024, 11, 194.
Shin, M.-J.; Kim, C.-S. Analysis of the Effect of Uncertainty in Rainfall-Runoff Models on Simulation Results Using a Simple Uncertainty-Screening Method. Water 2019, 11, 1361.
Dotson, H.W. Watershed Modeling with HEC-HMS (Hydrologic Engineering Centers-Hydrologic Modeling System) Using Spatially Distributed Rainfall. In Coping with Flash Floods; Springer: Berlin/Heidelberg, Germany, 2001; pp. 219–230.
Ma, L.; He, C.; Bian, H.; Sheng, L. MIKE SHE Modeling of Ecohydrological Processes: Merits, Applications, and Challenges. Ecol. Eng. 2016, 96, 137–149.
Swain, S.; Mishra, S.K.; Pandey, A.; Pandey, A.C.; Jain, A.; Chauhan, S.K.; Badoni, A.K. Hydrological Modelling through SWAT over a Himalayan Catchment Using High-Resolution Geospatial Inputs. Environ. Chall. 2022, 8, 100579.
Hodges, B.R.; Sharior, S.; Tiernan, E.D.; Jenkins, E.; Riaño-Briceño, G.; Davila-Hernandez, C.; Madadi-Kandjani, E.; Yu, C.-W. Introducing SWMM5+. J. Environ. Eng. 2024, 150, 02524003.
Campisano, A.; Catania, F.V.; Modica, C. Evaluating the SWMM LID Editor Rain Barrel Option for the Estimation of Retention Potential of Rainwater Harvesting Systems. Urban Water J. 2017, 14, 876–881.
Quintero, F.; Velásquez, N. Implementation of TETIS Hydrologic Model into the Hillslope Link Model Framework. Water 2022, 14, 2610.
Duncan, H.P. Baseflow Separation—A Practical Approach. J. Hydrol. 2019, 575, 308–313.
Szilagyi, J.; Parlange, M.B. Baseflow Separation Based on Analytical Solutions of the Boussinesq Equation. J. Hydrol. 1998, 204, 251–260.
International Atomic Energy Environmental Isotopes in the Hydrological Cycle: Principles and Applications, v. II: Atmospheric Water. 2001. Available online: https://unesdoc.unesco.org/ark:/48223/pf0000149442 (accessed on 15 May 2025).
Yang, H.; Choi, H.T.; Lim, H. Applicability Assessment of Estimation Methods for Baseflow Recession Constants in Small Forest Catchments. Water 2018, 10, 1074.
Brutsaert, W.; Nieber, J.L. Regionalized Drought Flow Hydrographs from a Mature Glaciated Plateau. Water Resour. Res. 1977, 13, 637–643.
Gómez, S.; Guzmán, J. Separation of Base Flow in Upper Part of the Lebrija River Basin. Rev. Fac. Ing. Univ. Antioq. 2011, 61, 41–52.
Villalba-Barrios, A.F.; Coronado-Hernández, O.E.; Fuertes-Miquel, V.S.; Coronado-Hernández, J.R.; Ramos, H.M. Statistical Approach for Computing Base Flow Rates in Gaged Rivers and Hydropower Effect Analysis. Hydrology 2023, 10, 137.
Chen, X.; Shao, Q.; Xu, C.Y.; Zhang, J.; Zhang, L.; Ye, C. Comparative Study on the Selection Criteria for Fitting Flood Frequency Distribution Models with Emphasis on Upper-Tail Behavior. Water 2017, 9, 320.
Anghel, C.G. Revisiting the Use of the Gumbel Distribution: A Comprehensive Statistical Analysis Regarding Modeling Extremes and Rare Events. Mathematics 2024, 12, 2466.
Coronado-Hernández, O.E. Consideraciones de Incertidumbre en la Estimación de Hidrogramas de Diseño de Estructuras de Desviación y Rebosaderos en Presas. Master’s Dissertation, Universidad de los Andes, Bogotá, Colombia, 2010.
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dc.rights.license.none.fl_str_mv Atribución 4.0 Internacional (CC BY 4.0)
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dc.publisher.place.none.fl_str_mv Colombia
publisher.none.fl_str_mv Hydrology 2025, 12(6)
institution Universidad Tecnológica de Bolívar
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spelling Coronado Hernández, Óscar Enriquevirtual::6433-1Méndez Anillo, Rafael Davidvirtual::6434-1Saba, Manuelvirtual::6437-1Grupo de Investigación Sistemas Ambientales e Hidráulicos (GISAH)2025-07-08T13:29:40Z2025-06-19Coronado-Hernández, O. E., Méndez-Anillo, R. D., & Saba, M. (2025). Assessment of Baseflow Separation Methods Used in the Estimations of Design-Related Storm Hydrographs Across Various Return Periods. Hydrology, 12(6), 158. https://doi.org/10.3390/hydrology12060158https://hdl.handle.net/20.500.12585/14097https://doi.org/10.3390/hydrology12060158Contiene gráficosAccurately estimating storm hydrographs for various return periods is crucial for planning and designing hydrological infrastructure, such as dams and drainage systems. A key aspect of this estimation is the separation of baseflow from storm runoff. This study proposes a method for deriving storm hydrographs for different return periods based on hydrological station records. The proposed approach uses three baseflow separation methods: constant, linear, and master recession curve. A significant advantage of the proposed method over traditional rainfall–runoff approaches is its minimal parameter requirements during calibration. The methodology is tested on records from the Lengupá River watershed in Colombia, using data from the Páez hydrological station, which has a drainage area of 1090 km2. The results indicate that the linear method yields the most accurate hydrograph estimates, as demonstrated by its lower root mean square error (RMSE) of 0.35%, compared to the other baseflow separation techniques, the values of which range from 2.92 to 3.02%. A frequency analysis of hydrological data was conducted using Pearson Type III and Generalized Extreme Value distributions to identify the most suitable statistical models for estimating extreme events regarding peak flow and maximum storm hydrograph volume. The findings demonstrate that the proposed methods effectively reproduce storm hydrographs for return periods ranging from 5 to 200 years, providing valuable insights for hydrological design, which can be employed using the data from stream gauging stations in rivers.1. Introduction 2. Methodology 3. Practical Application 4. Discussion 5. ConclusionsHidráulica urbana y costera21 páginasapplication/pdfengHydrology 2025, 12(6)ColombiaCopyright: © 2025 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) licensehttps://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessAtribución 4.0 Internacional (CC BY 4.0)http://purl.org/coar/access_right/c_abf2Assessment of baseflow separation methods used in the estimations of design-related storm hydrographs across various return periodsArtículo de revistainfo:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/redcol/resource_type/ARTTextinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/version/c_970fb48d4fbd8a85Basso, S.; Merz, R.; Tarasova, L.; Miniussi, A. Extreme Flooding Controlled by Stream Network Organization and Flow Regime. Nat. Geosci. 2023, 16, 339–343.Chikamori, H. Rainfall-Runoff Analysis of Flooding Caused by Typhoon RUSA in 2002 in the Gangneung Namdae River Basin, Korea. J. Nat. Disaster Sci. 2004, 26, 95–100.Crookston, B.M.; Erpicum, S. Hydraulic Engineering of Dams. J. Hydraul. Res. 2022, 60, 184–186.Assaf, M.N.; Manenti, S.; Creaco, E.; Giudicianni, C.; Tamellini, L.; Todeschini, S. New Optimization Strategies for SWMM Modeling of Stormwater Quality Applications in Urban Area. J. Environ. Manag. 2024, 361, 121244.Dotto, C.B.S.; Kleidorfer, M.; Deletic, A.; Fletcher, T.D.; McCarthy, D.T.; Rauch, W. Stormwater Quality Models: Performance and Sensitivity Analysis. Water Sci. Technol. 2010, 62, 837–843.Chow, V.T.; Maidment, D.R.; Mays, L.W. Applied Hydrology; McGraw-Hill International Editions: New York, NY, USA, 1988; ISBN 0-07-010810-2.Ross, C.A.; Ali, G.; Bansah, S.; Laing, J.R. Evaluating the Relative Importance of Shallow Subsurface Flow in a Prairie Landscape. Vadose Zone J. 2017, 16, 1–20.Bronstert, A.; Niehoff, D.; Schiffler, G.R. Modelling Infiltration and Infiltration Excess: The Importance of Fast and Local Processes. Hydrol. Process. 2023, 37, e14875.Barthel, R.; Banzhaf, S. Groundwater and Surface Water Interaction at the Regional-Scale—A Review with Focus on Regional Integrated Models. Water Resour. Manag. 2016, 30, 1–32Nogueira, G.E.H.; Partington, D.; Heidbüchel, I.; Fleckenstein, J.H. Combined Effects of Geological Heterogeneity and Discharge Events on Groundwater and Surface Water Mixing. J. Hydrol. 2024, 638, 131467.Aranguren-Díaz, Y.; Galán-Freyle, N.J.; Guerra, A.; Manares-Romero, A.; Pacheco-Londoño, L.C.; Romero-Coronado, A.; Vidal-Figueroa, N.; Machado-Sierra, E. Aquifers and Groundwater: Challenges and Opportunities in Water Resource Management in Colombia. Water 2024, 16, 685.Briggs, M.A.; Newman, C.; Benton, J.R.; Rey, D.M.; Konrad, C.P.; Ouellet, V.; Torgersen, C.E.; Gruhn, L.; Fleming, B.J.; Gazoorian, C.; et al. James Buttle Review: The Characteristics of Baseflow Resilience Across Diverse Ecohydrological Terrains. Hydrol. Process. 2025, 39, e70101.Baig, F.; Sherif, M.; Faiz, M.A. Quantification of Precipitation and Evapotranspiration Uncertainty in Rainfall-Runoff Modeling. Hydrology 2022, 9, 51.Jehanzaib, M.; Ajmal, M.; Achite, M.; Kim, T.-W. Comprehensive Review: Advancements in Rainfall-Runoff Modelling for Flood Mitigation. Climate 2022, 10, 147.Rivera Trejo, F.; Escalante Sandoval, C. Análisis Comparativo de Técnicas de Estimación de Avenidas de Diseño. Ing. Del Agua 1999, 6, 49–54.Coronado-Hernández, O.E.; Fuertes-Miquel, V.S.; Arrieta-Pastrana, A. The Development of a Hydrological Method for Computing Extreme Hydrographs in Engineering Dam Projects. Hydrology 2024, 11, 194.Shin, M.-J.; Kim, C.-S. Analysis of the Effect of Uncertainty in Rainfall-Runoff Models on Simulation Results Using a Simple Uncertainty-Screening Method. Water 2019, 11, 1361.Dotson, H.W. Watershed Modeling with HEC-HMS (Hydrologic Engineering Centers-Hydrologic Modeling System) Using Spatially Distributed Rainfall. In Coping with Flash Floods; Springer: Berlin/Heidelberg, Germany, 2001; pp. 219–230.Ma, L.; He, C.; Bian, H.; Sheng, L. MIKE SHE Modeling of Ecohydrological Processes: Merits, Applications, and Challenges. Ecol. Eng. 2016, 96, 137–149.Swain, S.; Mishra, S.K.; Pandey, A.; Pandey, A.C.; Jain, A.; Chauhan, S.K.; Badoni, A.K. Hydrological Modelling through SWAT over a Himalayan Catchment Using High-Resolution Geospatial Inputs. Environ. Chall. 2022, 8, 100579.Hodges, B.R.; Sharior, S.; Tiernan, E.D.; Jenkins, E.; Riaño-Briceño, G.; Davila-Hernandez, C.; Madadi-Kandjani, E.; Yu, C.-W. Introducing SWMM5+. J. Environ. Eng. 2024, 150, 02524003.Campisano, A.; Catania, F.V.; Modica, C. Evaluating the SWMM LID Editor Rain Barrel Option for the Estimation of Retention Potential of Rainwater Harvesting Systems. Urban Water J. 2017, 14, 876–881.Quintero, F.; Velásquez, N. Implementation of TETIS Hydrologic Model into the Hillslope Link Model Framework. Water 2022, 14, 2610.Duncan, H.P. Baseflow Separation—A Practical Approach. J. Hydrol. 2019, 575, 308–313.Szilagyi, J.; Parlange, M.B. Baseflow Separation Based on Analytical Solutions of the Boussinesq Equation. J. Hydrol. 1998, 204, 251–260.International Atomic Energy Environmental Isotopes in the Hydrological Cycle: Principles and Applications, v. II: Atmospheric Water. 2001. Available online: https://unesdoc.unesco.org/ark:/48223/pf0000149442 (accessed on 15 May 2025).Yang, H.; Choi, H.T.; Lim, H. Applicability Assessment of Estimation Methods for Baseflow Recession Constants in Small Forest Catchments. Water 2018, 10, 1074.Brutsaert, W.; Nieber, J.L. Regionalized Drought Flow Hydrographs from a Mature Glaciated Plateau. Water Resour. Res. 1977, 13, 637–643.Gómez, S.; Guzmán, J. Separation of Base Flow in Upper Part of the Lebrija River Basin. Rev. Fac. Ing. Univ. Antioq. 2011, 61, 41–52.Villalba-Barrios, A.F.; Coronado-Hernández, O.E.; Fuertes-Miquel, V.S.; Coronado-Hernández, J.R.; Ramos, H.M. Statistical Approach for Computing Base Flow Rates in Gaged Rivers and Hydropower Effect Analysis. Hydrology 2023, 10, 137.Chen, X.; Shao, Q.; Xu, C.Y.; Zhang, J.; Zhang, L.; Ye, C. Comparative Study on the Selection Criteria for Fitting Flood Frequency Distribution Models with Emphasis on Upper-Tail Behavior. Water 2017, 9, 320.Anghel, C.G. Revisiting the Use of the Gumbel Distribution: A Comprehensive Statistical Analysis Regarding Modeling Extremes and Rare Events. Mathematics 2024, 12, 2466.Coronado-Hernández, O.E. Consideraciones de Incertidumbre en la Estimación de Hidrogramas de Diseño de Estructuras de Desviación y Rebosaderos en Presas. Master’s Dissertation, Universidad de los Andes, Bogotá, Colombia, 2010.Baseflow separationReturn periodStream gauging stationsStorm hydrographsHydrographsFlood forecastingHydrologic modelsWatersheds -- ColombiaBase flow (Hydrology)Runoff -- MeasurementExtreme value theory (Statistics)Drainage basins -- Design and constructionFrequency analysis (Hydrology)Pearson distributionGeneralized extreme value distributionStorms -- Environmental aspectsStreamflow -- Measurement2. Ingeniería y Tecnología::2A. Ingeniería CivilODS 6: Agua limpia y saneamiento. 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luY29ycG9yYWRhIGVuIGxhcyBPYnJhcyBDb2xlY3RpdmFzLgpiLiBEaXN0cmlidWlyIGNvcGlhcyBvIGZvbm9ncmFtYXMgZGUgbGFzIE9icmFzLCBleGhpYmlybGFzIHDDumJsaWNhbWVudGUsIGVqZWN1dGFybGFzIHDDumJsaWNhbWVudGUgeS9vIHBvbmVybGFzIGEgZGlzcG9zaWNpw7NuIHDDumJsaWNhLCBpbmNsdXnDqW5kb2xhcyBjb21vIGluY29ycG9yYWRhcyBlbiBPYnJhcyBDb2xlY3RpdmFzLCBzZWfDum4gY29ycmVzcG9uZGEuCmMuIERpc3RyaWJ1aXIgY29waWFzIGRlIGxhcyBPYnJhcyBEZXJpdmFkYXMgcXVlIHNlIGdlbmVyZW4sIGV4aGliaXJsYXMgcMO6YmxpY2FtZW50ZSwgZWplY3V0YXJsYXMgcMO6YmxpY2FtZW50ZSB5L28gcG9uZXJsYXMgYSBkaXNwb3NpY2nDs24gcMO6YmxpY2EuCgpMb3MgZGVyZWNob3MgbWVuY2lvbmFkb3MgYW50ZXJpb3JtZW50ZSBwdWVkZW4gc2VyIGVqZXJjaWRvcyBlbiB0b2RvcyBsb3MgbWVkaW9zIHkgZm9ybWF0b3MsIGFjdHVhbG1lbnRlIGNvbm9jaWRvcyBvIHF1ZSBzZSBpbnZlbnRlbiBlbiBlbCBmdXR1cm8uIExvcyBkZXJlY2hvcyBhbnRlcyBtZW5jaW9uYWRvcyBpbmNsdXllbiBlbCBkZXJlY2hvIGEgcmVhbGl6YXIgZGljaGFzIG1vZGlmaWNhY2lvbmVzIGVuIGxhIG1lZGlkYSBxdWUgc2VhbiB0w6ljbmljYW1lbnRlIG5lY2VzYXJpYXMgcGFyYSBlamVyY2VyIGxvcyBkZXJlY2hvcyBlbiBvdHJvIG1lZGlvIG8gZm9ybWF0b3MsIHBlcm8gZGUgb3RyYSBtYW5lcmEgdXN0ZWQgbm8gZXN0w6EgYXV0b3JpemFkbyBwYXJhIHJlYWxpemFyIG9icmFzIGRlcml2YWRhcy4gVG9kb3MgbG9zIGRlcmVjaG9zIG5vIG90b3JnYWRvcyBleHByZXNhbWVudGUgcG9yIGVsIExpY2VuY2lhbnRlIHF1ZWRhbiBwb3IgZXN0ZSBtZWRpbyByZXNlcnZhZG9zLCBpbmNsdXllbmRvIHBlcm8gc2luIGxpbWl0YXJzZSBhIGFxdWVsbG9zIHF1ZSBzZSBtZW5jaW9uYW4gZW4gbGFzIHNlY2Npb25lcyA0KGQpIHkgNChlKS4KICAgIAo0LiBSZXN0cmljY2lvbmVzLgpMYSBsaWNlbmNpYSBvdG9yZ2FkYSBlbiBsYSBhbnRlcmlvciBTZWNjacOzbiAzIGVzdMOhIGV4cHJlc2FtZW50ZSBzdWpldGEgeSBsaW1pdGFkYSBwb3IgbGFzIHNpZ3VpZW50ZXMgcmVzdHJpY2Npb25lczoKYS4gVXN0ZWQgcHVlZGUgZGlzdHJpYnVpciwgZXhoaWJpciBww7pibGljYW1lbnRlLCBlamVjdXRhciBww7pibGljYW1lbnRlLCBvIHBvbmVyIGEgZGlzcG9zaWNpw7NuIHDDumJsaWNhIGxhIE9icmEgc8OzbG8gYmFqbyBsYXMgY29uZGljaW9uZXMgZGUgZXN0YSBMaWNlbmNpYSwgeSBVc3RlZCBkZWJlIGluY2x1aXIgdW5hIGNvcGlhIGRlIGVzdGEgbGljZW5jaWEgbyBkZWwgSWRlbnRpZmljYWRvciBVbml2ZXJzYWwgZGUgUmVjdXJzb3MgZGUgbGEgbWlzbWEgY29uIGNhZGEgY29waWEgZGUgbGEgT2JyYSBxdWUgZGlzdHJpYnV5YSwgZXhoaWJhIHDDumJsaWNhbWVudGUsIGVqZWN1dGUgcMO6YmxpY2FtZW50ZSBvIHBvbmdhIGEgZGlzcG9zaWNpw7NuIHDDumJsaWNhLiBObyBlcyBwb3NpYmxlIG9mcmVjZXIgbyBpbXBvbmVyIG5pbmd1bmEgY29uZGljacOzbiBzb2JyZSBsYSBPYnJhIHF1ZSBhbHRlcmUgbyBsaW1pdGUgbGFzIGNvbmRpY2lvbmVzIGRlIGVzdGEgTGljZW5jaWEgbyBlbCBlamVyY2ljaW8gZGUgbG9zIGRlcmVjaG9zIGRlIGxvcyBkZXN0aW5hdGFyaW9zIG90b3JnYWRvcyBlbiBlc3RlIGRvY3VtZW50by4gTm8gZXMgcG9zaWJsZSBzdWJsaWNlbmNpYXIgbGEgT2JyYS4gVXN0ZWQgZGViZSBtYW50ZW5lciBpbnRhY3RvcyB0b2RvcyBsb3MgYXZpc29zIHF1ZSBoYWdhbiByZWZlcmVuY2lhIGEgZXN0YSBMaWNlbmNpYSB5IGEgbGEgY2zDoXVzdWxhIGRlIGxpbWl0YWNpw7NuIGRlIGdhcmFudMOtYXMuIFVzdGVkIG5vIHB1ZWRlIGRpc3RyaWJ1aXIsIGV4aGliaXIgcMO6YmxpY2FtZW50ZSwgZWplY3V0YXIgcMO6YmxpY2FtZW50ZSwgbyBwb25lciBhIGRpc3Bvc2ljacOzbiBww7pibGljYSBsYSBPYnJhIGNvbiBhbGd1bmEgbWVkaWRhIHRlY25vbMOzZ2ljYSBxdWUgY29udHJvbGUgZWwgYWNjZXNvIG8gbGEgdXRpbGl6YWNpw7NuIGRlIGVsbGEgZGUgdW5hIGZvcm1hIHF1ZSBzZWEgaW5jb25zaXN0ZW50ZSBjb24gbGFzIGNvbmRpY2lvbmVzIGRlIGVzdGEgTGljZW5jaWEuIExvIGFudGVyaW9yIHNlIGFwbGljYSBhIGxhIE9icmEgaW5jb3Jwb3JhZGEgYSB1bmEgT2JyYSBDb2xlY3RpdmEsIHBlcm8gZXN0byBubyBleGlnZSBxdWUgbGEgT2JyYSBDb2xlY3RpdmEgYXBhcnRlIGRlIGxhIG9icmEgbWlzbWEgcXVlZGUgc3VqZXRhIGEgbGFzIGNvbmRpY2lvbmVzIGRlIGVzdGEgTGljZW5jaWEuIFNpIFVzdGVkIGNyZWEgdW5hIE9icmEgQ29sZWN0aXZhLCBwcmV2aW8gYXZpc28gZGUgY3VhbHF1aWVyIExpY2VuY2lhbnRlIGRlYmUsIGVuIGxhIG1lZGlkYSBkZSBsbyBwb3NpYmxlLCBlbGltaW5hciBkZSBsYSBPYnJhIENvbGVjdGl2YSBjdWFscXVpZXIgcmVmZXJlbmNpYSBhIGRpY2hvIExpY2VuY2lhbnRlIG8gYWwgQXV0b3IgT3JpZ2luYWwsIHNlZ8O6biBsbyBzb2xpY2l0YWRvIHBvciBlbCBMaWNlbmNpYW50ZSB5IGNvbmZvcm1lIGxvIGV4aWdlIGxhIGNsw6F1c3VsYSA0KGMpLgpiLiBVc3RlZCBubyBwdWVkZSBlamVyY2VyIG5pbmd1bm8gZGUgbG9zIGRlcmVjaG9zIHF1ZSBsZSBoYW4gc2lkbyBvdG9yZ2Fkb3MgZW4gbGEgU2VjY2nDs24gMyBwcmVjZWRlbnRlIGRlIG1vZG8gcXVlIGVzdMOpbiBwcmluY2lwYWxtZW50ZSBkZXN0aW5hZG9zIG8gZGlyZWN0YW1lbnRlIGRpcmlnaWRvcyBhIGNvbnNlZ3VpciB1biBwcm92ZWNobyBjb21lcmNpYWwgbyB1bmEgY29tcGVuc2FjacOzbiBtb25ldGFyaWEgcHJpdmFkYS4gRWwgaW50ZXJjYW1iaW8gZGUgbGEgT2JyYSBwb3Igb3RyYXMgb2JyYXMgcHJvdGVnaWRhcyBwb3IgZGVyZWNob3MgZGUgYXV0b3IsIHlhIHNlYSBhIHRyYXbDqXMgZGUgdW4gc2lzdGVtYSBwYXJhIGNvbXBhcnRpciBhcmNoaXZvcyBkaWdpdGFsZXMgKGRpZ2l0YWwgZmlsZS1zaGFyaW5nKSBvIGRlIGN1YWxxdWllciBvdHJhIG1hbmVyYSBubyBzZXLDoSBjb25zaWRlcmFkbyBjb21vIGVzdGFyIGRlc3RpbmFkbyBwcmluY2lwYWxtZW50ZSBvIGRpcmlnaWRvIGRpcmVjdGFtZW50ZSBhIGNvbnNlZ3VpciB1biBwcm92ZWNobyBjb21lcmNpYWwgbyB1bmEgY29tcGVuc2FjacOzbiBtb25ldGFyaWEgcHJpdmFkYSwgc2llbXByZSBxdWUgbm8gc2UgcmVhbGljZSB1biBwYWdvIG1lZGlhbnRlIHVuYSBjb21wZW5zYWNpw7NuIG1vbmV0YXJpYSBlbiByZWxhY2nDs24gY29uIGVsIGludGVyY2FtYmlvIGRlIG9icmFzIHByb3RlZ2lkYXMgcG9yIGVsIGRlcmVjaG8gZGUgYXV0b3IuCmMuIFNpIHVzdGVkIGRpc3RyaWJ1eWUsIGV4aGliZSBww7pibGljYW1lbnRlLCBlamVjdXRhIHDDumJsaWNhbWVudGUgbyBlamVjdXRhIHDDumJsaWNhbWVudGUgZW4gZm9ybWEgZGlnaXRhbCBsYSBPYnJhIG8gY3VhbHF1aWVyIE9icmEgRGVyaXZhZGEgdSBPYnJhIENvbGVjdGl2YSwgVXN0ZWQgZGViZSBtYW50ZW5lciBpbnRhY3RhIHRvZGEgbGEgaW5mb3JtYWNpw7NuIGRlIGRlcmVjaG8gZGUgYXV0b3IgZGUgbGEgT2JyYSB5IHByb3BvcmNpb25hciwgZGUgZm9ybWEgcmF6b25hYmxlIHNlZ8O6biBlbCBtZWRpbyBvIG1hbmVyYSBxdWUgVXN0ZWQgZXN0w6kgdXRpbGl6YW5kbzogKGkpIGVsIG5vbWJyZSBkZWwgQXV0b3IgT3JpZ2luYWwgc2kgZXN0w6EgcHJvdmlzdG8gKG8gc2V1ZMOzbmltbywgc2kgZnVlcmUgYXBsaWNhYmxlKSwgeS9vIChpaSkgZWwgbm9tYnJlIGRlIGxhIHBhcnRlIG8gbGFzIHBhcnRlcyBxdWUgZWwgQXV0b3IgT3JpZ2luYWwgeS9vIGVsIExpY2VuY2lhbnRlIGh1YmllcmVuIGRlc2lnbmFkbyBwYXJhIGxhIGF0cmlidWNpw7NuICh2LmcuLCB1biBpbnN0aXR1dG8gcGF0cm9jaW5hZG9yLCBlZGl0b3JpYWwsIHB1YmxpY2FjacOzbikgZW4gbGEgaW5mb3JtYWNpw7NuIGRlIGxvcyBkZXJlY2hvcyBkZSBhdXRvciBkZWwgTGljZW5jaWFudGUsIHTDqXJtaW5vcyBkZSBzZXJ2aWNpb3MgbyBkZSBvdHJhcyBmb3JtYXMgcmF6b25hYmxlczsgZWwgdMOtdHVsbyBkZSBsYSBPYnJhIHNpIGVzdMOhIHByb3Zpc3RvOyBlbiBsYSBtZWRpZGEgZGUgbG8gcmF6b25hYmxlbWVudGUgZmFjdGlibGUgeSwgc2kgZXN0w6EgcHJvdmlzdG8sIGVsIElkZW50aWZpY2Fkb3IgVW5pZm9ybWUgZGUgUmVjdXJzb3MgKFVuaWZvcm0gUmVzb3VyY2UgSWRlbnRpZmllcikgcXVlIGVsIExpY2VuY2lhbnRlIGVzcGVjaWZpY2EgcGFyYSBzZXIgYXNvY2lhZG8gY29uIGxhIE9icmEsIHNhbHZvIHF1ZSB0YWwgVVJJIG5vIHNlIHJlZmllcmEgYSBsYSBub3RhIHNvYnJlIGxvcyBkZXJlY2hvcyBkZSBhdXRvciBvIGEgbGEgaW5mb3JtYWNpw7NuIHNvYnJlIGVsIGxpY2VuY2lhbWllbnRvIGRlIGxhIE9icmE7IHkgZW4gZWwgY2FzbyBkZSB1bmEgT2JyYSBEZXJpdmFkYSwgYXRyaWJ1aXIgZWwgY3LDqWRpdG8gaWRlbnRpZmljYW5kbyBlbCB1c28gZGUgbGEgT2JyYSBlbiBsYSBPYnJhIERlcml2YWRhICh2LmcuLCAiVHJhZHVjY2nDs24gRnJhbmNlc2EgZGUgbGEgT2JyYSBkZWwgQXV0b3IgT3JpZ2luYWwsIiBvICJHdWnDs24gQ2luZW1hdG9ncsOhZmljbyBiYXNhZG8gZW4gbGEgT2JyYSBvcmlnaW5hbCBkZWwgQXV0b3IgT3JpZ2luYWwiKS4gVGFsIGNyw6lkaXRvIHB1ZWRlIHNlciBpbXBsZW1lbnRhZG8gZGUgY3VhbHF1aWVyIGZvcm1hIHJhem9uYWJsZTsgZW4gZWwgY2Fzbywgc2luIGVtYmFyZ28sIGRlIE9icmFzIERlcml2YWRhcyB1IE9icmFzIENvbGVjdGl2YXMsIHRhbCBjcsOpZGl0byBhcGFyZWNlcsOhLCBjb21vIG3DrW5pbW8sIGRvbmRlIGFwYXJlY2UgZWwgY3LDqWRpdG8gZGUgY3VhbHF1aWVyIG90cm8gYXV0b3IgY29tcGFyYWJsZSB5IGRlIHVuYSBtYW5lcmEsIGFsIG1lbm9zLCB0YW4gZGVzdGFjYWRhIGNvbW8gZWwgY3LDqWRpdG8gZGUgb3RybyBhdXRvciBjb21wYXJhYmxlLiAgCmQuIFBhcmEgZXZpdGFyIHRvZGEgY29uZnVzacOzbiwgZWwgTGljZW5jaWFudGUgYWNsYXJhIHF1ZSwgY3VhbmRvIGxhIG9icmEgZXMgdW5hIGNvbXBvc2ljacOzbiBtdXNpY2FsOgoKaS4gUmVnYWzDrWFzIHBvciBpbnRlcnByZXRhY2nDs24geSBlamVjdWNpw7NuIGJham8gbGljZW5jaWFzIGdlbmVyYWxlcy4gRWwgTGljZW5jaWFudGUgc2UgcmVzZXJ2YSBlbCBkZXJlY2hvIGV4Y2x1c2l2byBkZSBhdXRvcml6YXIgbGEgZWplY3VjacOzbiBww7pibGljYSBvIGxhIGVqZWN1Y2nDs24gcMO6YmxpY2EgZGlnaXRhbCBkZSBsYSBvYnJhIHkgZGUgcmVjb2xlY3Rhciwgc2VhIGluZGl2aWR1YWxtZW50ZSBvIGEgdHJhdsOpcyBkZSB1bmEgc29jaWVkYWQgZGUgZ2VzdGnDs24gY29sZWN0aXZhIGRlIGRlcmVjaG9zIGRlIGF1dG9yIHkgZGVyZWNob3MgY29uZXhvcyAocG9yIGVqZW1wbG8sIFNBWUNPKSwgbGFzIHJlZ2Fsw61hcyBwb3IgbGEgZWplY3VjacOzbiBww7pibGljYSBvIHBvciBsYSBlamVjdWNpw7NuIHDDumJsaWNhIGRpZ2l0YWwgZGUgbGEgb2JyYSAocG9yIGVqZW1wbG8gV2ViY2FzdCkgbGljZW5jaWFkYSBiYWpvIGxpY2VuY2lhcyBnZW5lcmFsZXMsIHNpIGxhIGludGVycHJldGFjacOzbiBvIGVqZWN1Y2nDs24gZGUgbGEgb2JyYSBlc3TDoSBwcmltb3JkaWFsbWVudGUgb3JpZW50YWRhIHBvciBvIGRpcmlnaWRhIGEgbGEgb2J0ZW5jacOzbiBkZSB1bmEgdmVudGFqYSBjb21lcmNpYWwgbyB1bmEgY29tcGVuc2FjacOzbiBtb25ldGFyaWEgcHJpdmFkYS4KaWkuIFJlZ2Fsw61hcyBwb3IgRm9ub2dyYW1hcy4gRWwgTGljZW5jaWFudGUgc2UgcmVzZXJ2YSBlbCBkZXJlY2hvIGV4Y2x1c2l2byBkZSByZWNvbGVjdGFyLCBpbmRpdmlkdWFsbWVudGUgbyBhIHRyYXbDqXMgZGUgdW5hIHNvY2llZGFkIGRlIGdlc3Rpw7NuIGNvbGVjdGl2YSBkZSBkZXJlY2hvcyBkZSBhdXRvciB5IGRlcmVjaG9zIGNvbmV4b3MgKHBvciBlamVtcGxvLCBsb3MgY29uc2FncmFkb3MgcG9yIGxhIFNBWUNPKSwgdW5hIGFnZW5jaWEgZGUgZGVyZWNob3MgbXVzaWNhbGVzIG8gYWxnw7puIGFnZW50ZSBkZXNpZ25hZG8sIGxhcyByZWdhbMOtYXMgcG9yIGN1YWxxdWllciBmb25vZ3JhbWEgcXVlIFVzdGVkIGNyZWUgYSBwYXJ0aXIgZGUgbGEgb2JyYSAo4oCcdmVyc2nDs24gY292ZXLigJ0pIHkgZGlzdHJpYnV5YSwgZW4gbG9zIHTDqXJtaW5vcyBkZWwgcsOpZ2ltZW4gZGUgZGVyZWNob3MgZGUgYXV0b3IsIHNpIGxhIGNyZWFjacOzbiBvIGRpc3RyaWJ1Y2nDs24gZGUgZXNhIHZlcnNpw7NuIGNvdmVyIGVzdMOhIHByaW1vcmRpYWxtZW50ZSBkZXN0aW5hZGEgbyBkaXJpZ2lkYSBhIG9idGVuZXIgdW5hIHZlbnRhamEgY29tZXJjaWFsIG8gdW5hIGNvbXBlbnNhY2nDs24gbW9uZXRhcmlhIHByaXZhZGEuCiAgICAgIAplLiBHZXN0acOzbiBkZSBEZXJlY2hvcyBkZSBBdXRvciBzb2JyZSBJbnRlcnByZXRhY2lvbmVzIHkgRWplY3VjaW9uZXMgRGlnaXRhbGVzIChXZWJDYXN0aW5nKS4gUGFyYSBldml0YXIgdG9kYSBjb25mdXNpw7NuLCBlbCBMaWNlbmNpYW50ZSBhY2xhcmEgcXVlLCBjdWFuZG8gbGEgb2JyYSBzZWEgdW4gZm9ub2dyYW1hLCBlbCBMaWNlbmNpYW50ZSBzZSByZXNlcnZhIGVsIGRlcmVjaG8gZXhjbHVzaXZvIGRlIGF1dG9yaXphciBsYSBlamVjdWNpw7NuIHDDumJsaWNhIGRpZ2l0YWwgZGUgbGEgb2JyYSAocG9yIGVqZW1wbG8sIHdlYmNhc3QpIHkgZGUgcmVjb2xlY3RhciwgaW5kaXZpZHVhbG1lbnRlIG8gYSB0cmF2w6lzIGRlIHVuYSBzb2NpZWRhZCBkZSBnZXN0acOzbiBjb2xlY3RpdmEgZGUgZGVyZWNob3MgZGUgYXV0b3IgeSBkZXJlY2hvcyBjb25leG9zIChwb3IgZWplbXBsbywgQUNJTlBSTyksIGxhcyByZWdhbMOtYXMgcG9yIGxhIGVqZWN1Y2nDs24gcMO6YmxpY2EgZGlnaXRhbCBkZSBsYSBvYnJhIChwb3IgZWplbXBsbywgd2ViY2FzdCksIHN1amV0YSBhIGxhcyBkaXNwb3NpY2lvbmVzIGFwbGljYWJsZXMgZGVsIHLDqWdpbWVuIGRlIERlcmVjaG8gZGUgQXV0b3IsIHNpIGVzdGEgZWplY3VjacOzbiBww7pibGljYSBkaWdpdGFsIGVzdMOhIHByaW1vcmRpYWxtZW50ZSBkaXJpZ2lkYSBhIG9idGVuZXIgdW5hIHZlbnRhamEgY29tZXJjaWFsIG8gdW5hIGNvbXBlbnNhY2nDs24gbW9uZXRhcmlhIHByaXZhZGEuCiAgCjUuIFJlcHJlc2VudGFjaW9uZXMsIEdhcmFudMOtYXMgeSBMaW1pdGFjaW9uZXMgZGUgUmVzcG9uc2FiaWxpZGFkLgpBIE1FTk9TIFFVRSBMQVMgUEFSVEVTIExPIEFDT1JEQVJBTiBERSBPVFJBIEZPUk1BIFBPUiBFU0NSSVRPLCBFTCBMSUNFTkNJQU5URSBPRlJFQ0UgTEEgT0JSQSAoRU4gRUwgRVNUQURPIEVOIEVMIFFVRSBTRSBFTkNVRU5UUkEpIOKAnFRBTCBDVUFM4oCdLCBTSU4gQlJJTkRBUiBHQVJBTlTDjUFTIERFIENMQVNFIEFMR1VOQSBSRVNQRUNUTyBERSBMQSBPQlJBLCBZQSBTRUEgRVhQUkVTQSwgSU1QTMONQ0lUQSwgTEVHQUwgTyBDVUFMUVVJRVJBIE9UUkEsIElOQ0xVWUVORE8sIFNJTiBMSU1JVEFSU0UgQSBFTExBUywgR0FSQU5Uw41BUyBERSBUSVRVTEFSSURBRCwgQ09NRVJDSUFCSUxJREFELCBBREFQVEFCSUxJREFEIE8gQURFQ1VBQ0nDk04gQSBQUk9Qw5NTSVRPIERFVEVSTUlOQURPLCBBVVNFTkNJQSBERSBJTkZSQUNDScOTTiwgREUgQVVTRU5DSUEgREUgREVGRUNUT1MgTEFURU5URVMgTyBERSBPVFJPIFRJUE8sIE8gTEEgUFJFU0VOQ0lBIE8gQVVTRU5DSUEgREUgRVJST1JFUywgU0VBTiBPIE5PIERFU0NVQlJJQkxFUyAoUFVFREFOIE8gTk8gU0VSIEVTVE9TIERFU0NVQklFUlRPUykuIEFMR1VOQVMgSlVSSVNESUNDSU9ORVMgTk8gUEVSTUlURU4gTEEgRVhDTFVTScOTTiBERSBHQVJBTlTDjUFTIElNUEzDjUNJVEFTLCBFTiBDVVlPIENBU08gRVNUQSBFWENMVVNJw5NOIFBVRURFIE5PIEFQTElDQVJTRSBBIFVTVEVELgogIAo2LiBMaW1pdGFjacOzbiBkZSByZXNwb25zYWJpbGlkYWQuCkEgTUVOT1MgUVVFIExPIEVYSUpBIEVYUFJFU0FNRU5URSBMQSBMRVkgQVBMSUNBQkxFLCBFTCBMSUNFTkNJQU5URSBOTyBTRVLDgSBSRVNQT05TQUJMRSBBTlRFIFVTVEVEIFBPUiBEQcORTyBBTEdVTk8sIFNFQSBQT1IgUkVTUE9OU0FCSUxJREFEIEVYVFJBQ09OVFJBQ1RVQUwsIFBSRUNPTlRSQUNUVUFMIE8gQ09OVFJBQ1RVQUwsIE9CSkVUSVZBIE8gU1VCSkVUSVZBLCBTRSBUUkFURSBERSBEQcORT1MgTU9SQUxFUyBPIFBBVFJJTU9OSUFMRVMsIERJUkVDVE9TIE8gSU5ESVJFQ1RPUywgUFJFVklTVE9TIE8gSU1QUkVWSVNUT1MgUFJPRFVDSURPUyBQT1IgRUwgVVNPIERFIEVTVEEgTElDRU5DSUEgTyBERSBMQSBPQlJBLCBBVU4gQ1VBTkRPIEVMIExJQ0VOQ0lBTlRFIEhBWUEgU0lETyBBRFZFUlRJRE8gREUgTEEgUE9TSUJJTElEQUQgREUgRElDSE9TIERBw5FPUy4gQUxHVU5BUyBMRVlFUyBOTyBQRVJNSVRFTiBMQSBFWENMVVNJw5NOIERFIENJRVJUQSBSRVNQT05TQUJJTElEQUQsIEVOIENVWU8gQ0FTTyBFU1RBIEVYQ0xVU0nDk04gUFVFREUgTk8gQVBMSUNBUlNFIEEgVVNURUQuCiAgCjcuIFTDqXJtaW5vLgkKYS4gRXN0YSBMaWNlbmNpYSB5IGxvcyBkZXJlY2hvcyBvdG9yZ2Fkb3MgZW4gdmlydHVkIGRlIGVsbGEgdGVybWluYXLDoW4gYXV0b23DoXRpY2FtZW50ZSBzaSBVc3RlZCBpbmZyaW5nZSBhbGd1bmEgY29uZGljacOzbiBlc3RhYmxlY2lkYSBlbiBlbGxhLiBTaW4gZW1iYXJnbywgbG9zIGluZGl2aWR1b3MgbyBlbnRpZGFkZXMgcXVlIGhhbiByZWNpYmlkbyBPYnJhcyBEZXJpdmFkYXMgbyBDb2xlY3RpdmFzIGRlIFVzdGVkIGRlIGNvbmZvcm1pZGFkIGNvbiBlc3RhIExpY2VuY2lhLCBubyB2ZXLDoW4gdGVybWluYWRhcyBzdXMgbGljZW5jaWFzLCBzaWVtcHJlIHF1ZSBlc3RvcyBpbmRpdmlkdW9zIG8gZW50aWRhZGVzIHNpZ2FuIGN1bXBsaWVuZG8gw61udGVncmFtZW50ZSBsYXMgY29uZGljaW9uZXMgZGUgZXN0YXMgbGljZW5jaWFzLiBMYXMgU2VjY2lvbmVzIDEsIDIsIDUsIDYsIDcsIHkgOCBzdWJzaXN0aXLDoW4gYSBjdWFscXVpZXIgdGVybWluYWNpw7NuIGRlIGVzdGEgTGljZW5jaWEuCmIuIFN1amV0YSBhIGxhcyBjb25kaWNpb25lcyB5IHTDqXJtaW5vcyBhbnRlcmlvcmVzLCBsYSBsaWNlbmNpYSBvdG9yZ2FkYSBhcXXDrSBlcyBwZXJwZXR1YSAoZHVyYW50ZSBlbCBwZXLDrW9kbyBkZSB2aWdlbmNpYSBkZSBsb3MgZGVyZWNob3MgZGUgYXV0b3IgZGUgbGEgb2JyYSkuIE5vIG9ic3RhbnRlIGxvIGFudGVyaW9yLCBlbCBMaWNlbmNpYW50ZSBzZSByZXNlcnZhIGVsIGRlcmVjaG8gYSBwdWJsaWNhciB5L28gZXN0cmVuYXIgbGEgT2JyYSBiYWpvIGNvbmRpY2lvbmVzIGRlIGxpY2VuY2lhIGRpZmVyZW50ZXMgbyBhIGRlamFyIGRlIGRpc3RyaWJ1aXJsYSBlbiBsb3MgdMOpcm1pbm9zIGRlIGVzdGEgTGljZW5jaWEgZW4gY3VhbHF1aWVyIG1vbWVudG87IGVuIGVsIGVudGVuZGlkbywgc2luIGVtYmFyZ28sIHF1ZSBlc2EgZWxlY2Npw7NuIG5vIHNlcnZpcsOhIHBhcmEgcmV2b2NhciBlc3RhIGxpY2VuY2lhIG8gcXVlIGRlYmEgc2VyIG90b3JnYWRhICwgYmFqbyBsb3MgdMOpcm1pbm9zIGRlIGVzdGEgbGljZW5jaWEpLCB5IGVzdGEgbGljZW5jaWEgY29udGludWFyw6EgZW4gcGxlbm8gdmlnb3IgeSBlZmVjdG8gYSBtZW5vcyBxdWUgc2VhIHRlcm1pbmFkYSBjb21vIHNlIGV4cHJlc2EgYXRyw6FzLiBMYSBMaWNlbmNpYSByZXZvY2FkYSBjb250aW51YXLDoSBzaWVuZG8gcGxlbmFtZW50ZSB2aWdlbnRlIHkgZWZlY3RpdmEgc2kgbm8gc2UgbGUgZGEgdMOpcm1pbm8gZW4gbGFzIGNvbmRpY2lvbmVzIGluZGljYWRhcyBhbnRlcmlvcm1lbnRlLgogIAo4LiBWYXJpb3MuCmEuIENhZGEgdmV6IHF1ZSBVc3RlZCBkaXN0cmlidXlhIG8gcG9uZ2EgYSBkaXNwb3NpY2nDs24gcMO6YmxpY2EgbGEgT2JyYSBvIHVuYSBPYnJhIENvbGVjdGl2YSwgZWwgTGljZW5jaWFudGUgb2ZyZWNlcsOhIGFsIGRlc3RpbmF0YXJpbyB1bmEgbGljZW5jaWEgZW4gbG9zIG1pc21vcyB0w6lybWlub3MgeSBjb25kaWNpb25lcyBxdWUgbGEgbGljZW5jaWEgb3RvcmdhZGEgYSBVc3RlZCBiYWpvIGVzdGEgTGljZW5jaWEuCmIuIFNpIGFsZ3VuYSBkaXNwb3NpY2nDs24gZGUgZXN0YSBMaWNlbmNpYSByZXN1bHRhIGludmFsaWRhZGEgbyBubyBleGlnaWJsZSwgc2Vnw7puIGxhIGxlZ2lzbGFjacOzbiB2aWdlbnRlLCBlc3RvIG5vIGFmZWN0YXLDoSBuaSBsYSB2YWxpZGV6IG5pIGxhIGFwbGljYWJpbGlkYWQgZGVsIHJlc3RvIGRlIGNvbmRpY2lvbmVzIGRlIGVzdGEgTGljZW5jaWEgeSwgc2luIGFjY2nDs24gYWRpY2lvbmFsIHBvciBwYXJ0ZSBkZSBsb3Mgc3VqZXRvcyBkZSBlc3RlIGFjdWVyZG8sIGFxdcOpbGxhIHNlIGVudGVuZGVyw6EgcmVmb3JtYWRhIGxvIG3DrW5pbW8gbmVjZXNhcmlvIHBhcmEgaGFjZXIgcXVlIGRpY2hhIGRpc3Bvc2ljacOzbiBzZWEgdsOhbGlkYSB5IGV4aWdpYmxlLgpjLiBOaW5nw7puIHTDqXJtaW5vIG8gZGlzcG9zaWNpw7NuIGRlIGVzdGEgTGljZW5jaWEgc2UgZXN0aW1hcsOhIHJlbnVuY2lhZGEgeSBuaW5ndW5hIHZpb2xhY2nDs24gZGUgZWxsYSBzZXLDoSBjb25zZW50aWRhIGEgbWVub3MgcXVlIGVzYSByZW51bmNpYSBvIGNvbnNlbnRpbWllbnRvIHNlYSBvdG9yZ2FkbyBwb3IgZXNjcml0byB5IGZpcm1hZG8gcG9yIGxhIHBhcnRlIHF1ZSByZW51bmNpZSBvIGNvbnNpZW50YS4KZC4gRXN0YSBMaWNlbmNpYSByZWZsZWphIGVsIGFjdWVyZG8gcGxlbm8gZW50cmUgbGFzIHBhcnRlcyByZXNwZWN0byBhIGxhIE9icmEgYXF1w60gbGljZW5jaWFkYS4gTm8gaGF5IGFycmVnbG9zLCBhY3VlcmRvcyBvIGRlY2xhcmFjaW9uZXMgcmVzcGVjdG8gYSBsYSBPYnJhIHF1ZSBubyBlc3TDqW4gZXNwZWNpZmljYWRvcyBlbiBlc3RlIGRvY3VtZW50by4gRWwgTGljZW5jaWFudGUgbm8gc2UgdmVyw6EgbGltaXRhZG8gcG9yIG5pbmd1bmEgZGlzcG9zaWNpw7NuIGFkaWNpb25hbCBxdWUgcHVlZGEgc3VyZ2lyIGVuIGFsZ3VuYSBjb211bmljYWNpw7NuIGVtYW5hZGEgZGUgVXN0ZWQuIEVzdGEgTGljZW5jaWEgbm8gcHVlZGUgc2VyIG1vZGlmaWNhZGEgc2luIGVsIGNvbnNlbnRpbWllbnRvIG11dHVvIHBvciBlc2NyaXRvIGRlbCBMaWNlbmNpYW50ZSB5IFVzdGVkLgo=