Copula-Based Simulation for the Estimation of Optimal Volume for a Detention Basin

Osorio, Francisco; Muhaisen, Omar; Garcı́a, Pilar Garcı́a

doi:10.1061/(asce)he.1943-5584.0000124

Cited by 11 publications

(9 citation statements)

References 6 publications

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“…Bénard and Lang 2007;) and oneparameter Archimedean families (e.g. Zhang and Singh 2006;Maity and Kumar 2008;Sunyer Pinya et al 2009;Osorio et al 2009;Chebana and Ouarda 2009). The main limitation of this method is the fact that the closed-form formulas linking the copula parameters to measures of dependence do not exist for all copulas.…”

Section: Methods Of Momentsmentioning

confidence: 96%

“…One parameter Archimedean copulas have been frequently used in hydrology (e.g. Shiau et al 2007;Karmakar and Simonovic 2009;Sunyer Pinya et al 2009;Osorio et al 2009;Wang et al 2009). The application of two parameters Archimedean copulas is also reported (e.g.…”

Section: Copula Structuresmentioning

confidence: 99%

“…Zhang and Singh, 2006;Bénard and Lang 2007;Simonovic 2008, 2009;Wang et al 2009;Chebana and Ouarda 2009), flood retention measures (Nijssen et al 2009), designing flood control systems (e.g. Klein et al 2008;Osorio et al 2009;Muhaisen et al 2009), inland flooding analysis (e.g. Sunyer Pinya et al 2009), flood damage calculation (e.g.…”

Section: Introductionmentioning

confidence: 99%

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Application of copula modelling to the performance assessment of reconstructed watersheds

Nazemi

Elshorbagy

2011

Stoch Environ Res Risk Assess

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The existence of interdependence among environmental variables has been qualitatively known for centuries. Recent studies have shown that copula modelling can provide a simple, yet powerful framework for modelling interdependence among hydrological data; however, still there are several studies which use outdated and superficial methods to perform this task. By considering the current state of knowledge, this study tries to introduce a pragmatic procedure to perform copula modelling in real-world problems. Our study uses copula modelling to find a notion for conditional quantities of the maximum annual water deficit with respect to the annual cumulative evapotranspiration. Therefore, by having an estimate for the annual cumulative evapotranspiration, the hydrological performance of the reconstructed watershed can be assessed even in nearby ungauged reconstructed watersheds with similar physical characteristics and reclamation strategy. Several competitive models are developed for joint description of these variables in a prototype reclaimed oil-sands mining site in northern Alberta, Canada. The developed joint models are compared and analyzed according to their convergence feasibility, overall accuracy, tail behaviour and a goodnessof-fit test. Our study concludes that copula modelling can be considered as a powerful option in practitioners' toolkit. For the case under consideration, the Gumbel-Houguaard structure provides the most credible model of dependence. Moreover, our study provides some initial supports for the application of minimum distance methods for copula parameter estimation.

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Section: Methods Of Momentsmentioning

confidence: 96%

Section: Copula Structuresmentioning

confidence: 99%

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Application of copula modelling to the performance assessment of reconstructed watersheds

Nazemi

Elshorbagy

2011

Stoch Environ Res Risk Assess

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“…Obtained time series of the discharge (MES1 point in Figure 1) were used for the identification of the runoff model. The catchment, considered in operation, has already been the subject of numerous studies, in which surface runoff, stormwater quality, storm overflow, and stormwater treatment plant operation were modelled [3,16]. As part of these analyses, the model was calibrated using the trial and error method, where a set of parameters determining satisfactory results of calculations was searched for.…”

Section: Object Of Studymentioning

confidence: 99%

“…In such an approach, reservoir capacities are calculated on the basis of so-called continuous simulations [2,7,12], where the input consists of long precipitation time series (around 30 years long). In the case where an observation period is significantly shorter than 30 years, available time series can be used to develop a synthetic precipitation generator that allows for extension of the series length artificially [15,16]. Recently, multidimensional probability density distributions parametrized with copula functions [17,18] are gaining popularity for precipitation generators, allowing high resolution of simulated time series to be obtained (below 5 min).…”

Section: Introductionmentioning

confidence: 99%

Stormwater Reservoir Sizing in Respect of Uncertainty

Szeląg

Kiczko

Dąbek

2019

Water

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The sizing of the stormwater reservoir, as the design of its properties, usually requires simulations of a basin runoff for a long rainfall series using a hydrodynamic model. In the case of insufficient observations, the rainfall series can be reproduced using empirical approaches. One of the crucial elements in the sizing of the stormwater reservoir is determination of duration time and intensity of rainfall (design rainfall event), for which the maximum reservoir capacity is being obtained. The outcome is, however, affected by significant uncertainty of runoff modeling. The aim of the study is to analyze the effect of the uncertainty of a rainfall-runoff model on calculated capacities of stormwater reservoirs, along with estimated duration times of the design rainfall. The characteristics of the rainfall events—intensity, duration, and frequency—were reproduced using an empirical approach of IDF (Intensity–Duration–Frequency). The basin response to the precipitation was modeled using the SWMM (Storm Water Management Model) and its uncertainty was estimated on the basis of the GLUE (Generalized Likelihood Uncertainty Estimation) method. The obtained probabilistic solution was compared with the deterministic one, neglecting the uncertainty. Duration times of the design rainfall determined in respect of the reservoir outflow using the probabilistic model were longer than those found with a deterministic approach. This has an effect on the desired capacities of the stormwater reservoir, which were overestimated when uncertainty was neglected.

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Probabilistic model for the annual number of storm overflow discharges in a stormwater drainage system

Szeląg

Bąk

2016

Urban Water Journal

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Copula-Based Simulation for the Estimation of Optimal Volume for a Detention Basin

Cited by 11 publications

References 6 publications

Application of copula modelling to the performance assessment of reconstructed watersheds

Application of copula modelling to the performance assessment of reconstructed watersheds

Stormwater Reservoir Sizing in Respect of Uncertainty

Probabilistic model for the annual number of storm overflow discharges in a stormwater drainage system

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