Skip to main content
Log in

Variance-based Global Sensitivity Analysis of Surface Runoff Parameters for Hydrological Modeling of a Real Peri-urban Ungauged Basin

  • Published:
Water Resources Management Aims and scope Submit manuscript

Abstract

This paper proposes a new multi-step approach for sensitivity assessment of surface runoff parameters. The procedure has been tested on a peri-urban basin in southern Italy, interested by intense urbanization. The basin has limited data about land characteristics, and nearby precipitation measurements are not available. Accordingly, rainfall events are defined based on depth-duration-frequency curve valid for the area. The main novelties of the work are to provide a general framework for assessing the influence of runoff parameters (i.e. depression storage and surface roughness) for a basin model in SWMM in relation to rain events of various intensity/duration, and to provide a ranking of crucial parameters significantly affecting peak discharge and total volume of the hydrograph, for an ungauged basin, by means the Fourier Amplitude Sensitivity Test (FAST). Results indicate the dependence on rainfall characteristics of the relative importance of the parameters describing the pervious and impervious areas. Notably, the peak discharge of the shortest considered event is influenced only by the two parameters of the impervious area, while the opposite holds for the longest rain event. The total runoff volume is mostly influenced by the depression storage of impervious areas, with the parameters of pervious areas becoming more influential for longer rain events. Results allow a clear interpretation of the modelled physical processes variability within the basin and their relationship with rainfall/areas features, thus providing useful insights for key parameter definition in other contexts and for other models.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4

Similar content being viewed by others

Data Availability

Data, models, and codes generated or used for this study are available from the corresponding author on request.

References

  • Bahremand A, De Smedt F (2008) Distributed hydrological modeling and sensitivity analysis in Torysa Watershed, Slovakia. Water Resour Manage 22:393–408

    Article  Google Scholar 

  • Bajracharya A, Awoye H, Stadnyk T, Asadzadeh M (2020) Time variant sensitivity analysis of hydrological model parameters in a cold region using flow signatures. Water 12(4):961

    Article  Google Scholar 

  • Ballinas-González HA, Alcocer-Yamanaka VH, Canto-Rios JJ, Simuta-Champo R (2020) Sensitivity analysis of the rainfall–runoff modeling parameters in data-scarce urban catchment. Hydrology 7(4):73

    Article  Google Scholar 

  • Chow VT (1962) Hydrologic Design of Culverts. J Hydraul Div ASCE 88(2):39–55

  • Cukier RI, Levine HB, Shuler KE (1978) Nonlinear sensitivity analysis of multiparameter model systems. J Comput Phys 26(1):1–42

    Article  Google Scholar 

  • Del Giudice G, Padulano R (2016) Sensitivity analysis and calibration of a rainfall-runoff model with the combined use of EPA-SWMM and genetic algorithm. Acta Geophys 64:1755–1778

    Article  Google Scholar 

  • Eckart K, McPhee Z, Bolisetti T (2017) Performance and implementation of low impact development–A review. Sci Total Environ 607:413–432

    Article  Google Scholar 

  • Farina A, Di Nardo A, Gargano R, van der Werf JA, Greco R (2023) A simplified approach for the hydrological simulation of Urban Drainage Systems with SWMM. J Hydrol 623:129757

    Article  Google Scholar 

  • Frey CH, Patil SR (2002) Identification and review of sensitivity analysis methods. Risk Anal 22(3):553–578

    Article  Google Scholar 

  • Gan Y, Duan Q, Gong W, Tong C, Sun Y, Chu W, ..., Di Z (2014) A comprehensive evaluation of various sensitivity analysis methods: A case study with a hydrological model. Environ Model Softw 51:269–285

  • Giudicianni C, Assaf MN, Todeschini S, Creaco E (2023) Comparison of Nonlinear Reservoir and UH algorithms for the Hydrological modeling of a real urban catchment with EPASWMM. Hydrology 10(1):24

    Article  Google Scholar 

  • Gong Y, Li X, Zhai D, Yin D, Song R, Li J, Yuan D (2018) Influence of rainfall, model parameters and routing methods on stormwater modelling. Water Resour Manage 32:735–750

    Article  Google Scholar 

  • Green WH, Ampt GA (1911) Studies in Soil Physics, Part 1: the Flow of Air and Water through Soils. J Agric Sci 4(1):11–24

  • Hamby DM (1994) A review of techniques for parameter sensitivity analysis of environmental models. Environ Monit Assess 32:135–154

    Article  CAS  Google Scholar 

  • Hashemi M, Mahjouri N (2022) Global sensitivity analysis-based design of low impact development practices for urban runoff management under uncertainty. Water Resour Manage 36(9):2953–2972

    Article  Google Scholar 

  • Huber WC, Dickinson RE (1988) Storm Water Management Model-SWMM, Version 4, user’s Manual. US Environmental Protection Agency, Athens Georgia

    Google Scholar 

  • Lenhart T, Eckhardt K, Fohrer N, Frede HG (2002) Comparison of two different approaches of sensitivity analysis. Phys Chem Earth Parts A/B/C 27(9–10):645–654

    Article  Google Scholar 

  • Li C, Wang W, Xiong J, Chen P (2014) Sensitivity analysis for urban drainage modeling using mutual information. Entropy 16(11):5738–5752

    Article  Google Scholar 

  • Liu Q, Homma T (2009) A new computational method of a moment-independent uncertainty importance measure. Reliab Eng Syst Saf 94(7):1205–1211

    Article  Google Scholar 

  • Morris MD (1991) Factorial sampling plans for preliminary computational experiments. Technometrics 33(2):161–174

  • Ntegeka V, Baguis P, Roulin E, Willems P (2014) Developing tailored climate change scenarios for hydrological impact assessments. J Hydrol 508:307–321

    Article  Google Scholar 

  • Pappenberger F, Iorgulescu I, Beven KJ (2006) Sensitivity analysis based on regional splits and regression trees (SARS-RT). Environ Model Softw 21(7):976–990

    Article  Google Scholar 

  • Rabori AM, Ghazavi R, Reveshty MA (2017) Sensitivity analysis of SWMM model parameters for urban runoff estimation in semi-arid area. J Biodivers Environ Sci 10(5):284–294

    Google Scholar 

  • Rawls WJ, Brakensiek DL, Miller N (1983) Green-Ampt infiltration parameters from soils data. J Hydraul Eng 109(1):62–70

    Article  Google Scholar 

  • Razavi S, Tolson BA, Burn DH (2012) Review of surrogate modeling in water resources. Water Resour Res 48(7):W07401. https://doi.org/10.1029/2011WR011527

  • Reusser DE, Buytaert W, Zehe E (2011) Temporal dynamics of model parameter sensitivity for computationally expensive models with the Fourier amplitude sensitivity test. Water Resour Res 47(7):W07551. https://doi.org/10.1029/2010WR009947

  • Rossi F, Villani P (1994) Regional flood estimation methods. In: Rossi G, Harmancioğlu N, Yevjevich V (eds) Coping with floods, vol 257. Springer, Dordrecht, pp 135–169

    Chapter  Google Scholar 

  • Rossi F, Fiorentino M, Versace P (1984) Two-component extreme value distribution for flood frequency analysis. Water Resour Res 20(7):847–856

    Article  Google Scholar 

  • Rossman LA (2010) Storm water management model user’s manual, version 5.0. National Risk Management Research Laboratory, Office of Research and Development, US Environmental Protection Agency, Cincinnati

  • Saltelli A, Bolado R (1998) An alternative way to compute Fourier amplitude sensitivity test (FAST). Comput Stat Data Anal 26(4):445–460

    Article  Google Scholar 

  • Saltelli A, Chan K, Scott EM (2000) Sensitivity analysis. John Wiley & Sons, Ltd, New York

    Google Scholar 

  • Sobol IM (1993) Sensitivity analysis for non-linear mathematical models. Math Model Comput Exp 4:407–414

    Google Scholar 

  • Song X, Zhan C, Kong F, Xia J (2011) Advances in the study of uncertainty quantification of large-scale hydrological modeling system. J Geog Sci 21:801–819

    Article  Google Scholar 

  • Song X, Zhang J, Zhan C, Xuan Y, Ye M, Xu C (2015) Global sensitivity analysis in hydrological modeling: review of concepts, methods, theoretical framework, and applications. J Hydrol 523:739–757

    Article  Google Scholar 

  • Srivastava A, Kumari N, Maza M (2020) Hydrological response to agricultural land use heterogeneity using variable infiltration capacity model. Water Resour Manage 34(12):3779–3794

    Article  Google Scholar 

  • Tang Y, Reed P, Van Werkhoven K, Wagener T (2007) Advancing the identification and evaluation of distributed rainfall-runoff models using global sensitivity analysis. Water Resour Res 43(6):W06415. https://doi.org/10.1029/2006WR005813

  • Watt WE, Chow KA (1985) A general expression for basin lag time. Can J Civ Eng 12(2):294–300

  • Wu Z, Ma B, Wang H, Hu C, Lv H, Zhang X (2021) Identification of sensitive parameters of urban flood model based on artificial neural network. Water Resour Manage 35(7):2115–2128

    Article  Google Scholar 

  • Xu Z, Xiong L, Li H, Xu J, Cai X, Chen K, Wu J (2019) Runoff simulation of two typical urban green land types with the Stormwater Management Model (SWMM): sensitivity analysis and calibration of runoff parameters. Environ Monit Assess 191:1–16

    Article  CAS  Google Scholar 

Download references

Acknowledgements

This research is part of the activities financed with the awarding of the V:ALERE:2019 project of the Università degli Studi della Campania “L. Vanvitelli”. Support from Italian MIUR and University of Pavia is acknowledged within the Dipartimenti di Eccellenza 2023–2027 programme.

Author information

Authors and Affiliations

Authors

Contributions

Conceptualization: [Carlo Giudicianni, Roberto Greco]; Methodology: [Carlo Giudicianni, Roberto Greco]; Formal analysis, investigation and data curation: [Irene Di Cicco, Carlo Giudicianni]; Validation: [Carlo Giudicianni, Armando Di Nardo, Roberto Greco]; Writing - original draft preparation: [Irene Di Cicco, Carlo Giudicianni]; Writing - review and editing: [Carlo Giudicianni, Armando Di Nardo, Roberto Greco]; Supervision: [Armando Di Nardo, Roberto Greco]

Corresponding author

Correspondence to C. Giudicianni.

Ethics declarations

Ethics Approval

Not applicable.

Consent to Participate

Not applicable.

Consent to Publish

Not applicable.

Conflict of Interest

None.

Additional information

Publisher’s Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Giudicianni, C., Di Cicco, I., Di Nardo, A. et al. Variance-based Global Sensitivity Analysis of Surface Runoff Parameters for Hydrological Modeling of a Real Peri-urban Ungauged Basin. Water Resour Manage 38, 3007–3022 (2024). https://doi.org/10.1007/s11269-024-03802-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11269-024-03802-2

Keywords

Navigation