Log in

A Framework for Quantifying Stormwater Control Measures’ Hydrologic Performance with Analytical Stochastic Models

  • Published:
Water Resources Management Aims and scope Submit manuscript

Abstract

Previously developed analytical stochastic models (ASMs) have the limitations in that they can only be individually applied for specific end-of-pipe or low impact development facilities. This paper proposed a framework of ASMs that can be used for easily analyzing different types of storm water control measures (SCMs). The effective storage capacity for either storage-based or infiltration-based control measures was defined and formulated. Various inflow and outflow patterns of specific SCMs were also considered and analyzed. This framework also provides better insights into the similarities and differences among the model structures of different SCMs. Case studies with six climatically different locations in China and the U.S., different soil properties and six types of SCMs demonstrated the effects of various factors on runoff reduction ratios. Despite the limitations of the proposed framework such as the assumption of exponential distribution for rainfall event characteristics and the unavailability to perform single rainfall event simulation, it can still be used as a convenient toolkit to make fast and comprehensive decisions in selecting different SCMs for a specific runoff control target in design practices.

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

Access this article

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price includes VAT (France)

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5

Data Availability

Data will be made available from the corresponding author upon reasonable request. Additional supplementary material is provided in the attached file.

References

  • Adams BJ, Papa F (2000) Urban Stormwater Management Planning with Analytical Probabilistic Models. Willy, New York

    Google Scholar 

  • Aldrees A, Dan’azumi S (2023) Application of analytical probabilistic models in Urban runoff control systems’ planning and design: a review. Water 15(9):1640

  • Andrés-Doménech I, Montanari A, Marco JB (2012) Efficiency of storm detention tanks for urban drainage systems under climate variability. J Water Resour Plan Manag 138(1):36–46

    Article  Google Scholar 

  • Arjenaki MO, Sanayei HRZ, Heidarzadeh H et al (2021) Modeling and investigating the effect of the LID methods on collection network of urban runoff using the SWMM model (case study: Shahrekord City). Model Earth Syst Environ 7:1–16

    Article  Google Scholar 

  • Avellaneda PM, Jefferson AJ, Grieser JM, Bush SA (2017) Simulation of the cumulative hydrological response to green infrastructure. Water Resour Res 53(4):3087–3101

    Article  Google Scholar 

  • Bagiouk S, Sotiriadis D, Katsifarakis KL (2024) Combining Pocket Parks with Ecological Rainwater Management Techniques in High-Density Urban Environments. Environmental Processes 11:7

    Article  Google Scholar 

  • Beck HE, McVicar TR, Vergopolan N, Berg A, Lutsko NJ, Dufour A, Zeng Z, Jiang X, van Dijk A, Miralles DG (2023) High-resolution (1 km) Köppen-Geiger maps for 1901–2099 based on constrained CMIP6 projections. Sci Data 10(1):724

    Article  Google Scholar 

  • Cao S, Diao Y, Wang J, Liu Y, Raimondi A, Wang J (2023a) KDE-Based Rainfall Event Separation and Characterization. Water 15(3):580

    Article  Google Scholar 

  • Cao S, Jia J, Wang J, Diao Y, Liu Y, Guo Y (2023b) Development of an analytical permeable pavement model for vehicular access areas. Sci Total Environ 883:163686

    Article  CAS  Google Scholar 

  • Chahar BR, Graillot D, Gaur S (2011) Storm-water management through infiltration trenches. J Irrig Drain Eng 138(3):274–281

    Article  Google Scholar 

  • Chen J, Adams BJ (2006) Urban stormwater quality control analysis with detention ponds. Water Environ Res 78(7):744–753

    Article  CAS  Google Scholar 

  • Chen J, Adams BJ (2007) Development of analytical models for estimation of urban stormwater runoff. J Hydrol 336(3–4):458–469

    Article  Google Scholar 

  • Eagleson PS (1978) Climate, soil, and vegetation: 2. The distribution of annual precipitation derived from observed storm sequences. Water Resour Res 14(5):713–721

    Article  Google Scholar 

  • Eckart K, McPhee Z, Bolisetti T (2017) Performance and implementation of low impact development - A review. Sci Total Environ 606–607:413–432

    Article  Google Scholar 

  • Essien AE, Guo Y, Khafagy M, Dickson-Anderson S (2024) Design and hydrologic performance estimation of highway filter drains using a novel analytical probabilistic model. Sci Rep 14:2350

    Article  CAS  Google Scholar 

  • Ferrans P, Temprano J (2022) Continuous quantity and quality modeling for assessing the effect of SUDS: Application on a conceptual urban drainage basin. Environ Process 9(4):58

    Article  CAS  Google Scholar 

  • Guo Y (2016) Stochastic analysis of hydrologic operation of green roofs. J Hydrol Eng 21(7):04016016

    Article  Google Scholar 

  • Guo R, Guo Y (2018) Stochastic modelling of the hydrologic operation of rainwater harvesting systems. J Hydrol 562:30–39

    Article  Google Scholar 

  • Guo R, Guo Y, Wang J (2018) Stormwater capture and antecedent moisture characteristics of permeable pavements. Hydrol Process 32(17):2708–2720

    Article  Google Scholar 

  • Guo R, Guo Y, Zhang S, Zhu DZ (2020) A tool for water balance analysis of bioretention cells. Journal of Sustainable Water in the Built Environment 6(3):04020013

    Article  Google Scholar 

  • Hassini S, Guo Y (2016) Exponentiality test procedures for large samples of rainfall event characteristics. J Hydrol Eng 21(4):04016003

    Article  Google Scholar 

  • Hassini S, Guo Y (2017) Derived flood frequency distributions considering individual event hydrograph shapes. J Hydrol 547:296–308

    Article  Google Scholar 

  • Hassini S, Guo Y (2020) Analytical derivation of urban flood frequency models accounting saturation-excess runoff generation. J Hydrol 584:124713

    Article  Google Scholar 

  • Iftekhar MS, Pannell DJ (2022) Develo** an integrated investment decision-support framework for water-sensitive urban design projects. J Hydrol 607:127532

    Article  Google Scholar 

  • Lee EH, Kim JH (2018) Development of new inter-event time definition technique in urban areas. KSCE J Civ Eng 22:3764–3771

  • Lima CAS, Heck HAD, Almeida AK, da Silva Marques L, de Souza RS, de Almeida IK (2022) Multicriteria analysis for identification of flood control mechanisms: Application to extreme events in cities of different Brazilian regions. Int J Disaster Risk Reduct 71:102769

    Article  Google Scholar 

  • Muhammetoglu A, Orhan P, Akdegirmen O, Dugan ST, Muhammetoglu H (2023) An Integrated Modeling Approach to Assess Best Management Practices (BMPs) for Improving Stream Water Quality Using the MapShed and WASP8 Models. Water Resour Manage 37(15):6237–6253

    Article  Google Scholar 

  • Osheen, Kansal, M.L. & Bisht, D.S. (2024) Enhancing Urban Drainage Infrastructure Through Implementation of Low Impact Development Techniques. Water Resour Manag. https://doi.org/10.1007/s11269-024-03877-x

  • Pamuru ST, Forgione E, Croft K, Kjellerup BV, Davis AP (2022) Chemical characterization of urban stormwater: Traditional and emerging contaminants. Sci Total Environ 813:151887

    Article  CAS  Google Scholar 

  • Parolari AJ, Pelrine S, Bartlett MS (2018) Stochastic water balance dynamics of passive and controlled stormwater basins. Adv Water Resour 122:328–339

    Article  Google Scholar 

  • Pelak N, Porporato A (2016) Sizing a rainwater harvesting cistern by minimizing costs. J Hydrol 541:1340–1347

    Article  Google Scholar 

  • Pugliese F, Gerundo C, De Paola F, Caroppi G, Giugni M (2022) Enhancing the Urban Resilience to Flood Risk Through a Decision Support Tool for the LID-BMPs Optimal Design. Water Resour Manage 36:5633–5654

    Article  Google Scholar 

  • Raghunath HM (2006) Hydrology: Principles. New Age International Publishers, Analysis and Design

    Google Scholar 

  • Raimondi A, Marrazzo G, Sanfilippo U, Becciu G (2023) A probabilistic approach to stormwater runoff control through permeable pavements beneath urban trees. Sci Total Environ 905:167196

    Article  CAS  Google Scholar 

  • Rodriguez-Iturbe I, Proporato A (2004) Ecohydrology of water-controlled ecosystems. Cambridge University Press, UK

    Google Scholar 

  • Rossman, L.A. (2015). Storm Water Management Model User's Manual, Version 5.1 (EPA- 600/R-14/413b). National Risk Management Research Laboratory, Office of Research and Development, US Environmental Protection Agency, Cincinnati, OH, U.S.

  • Shamsudin S, Dan’azumi S, Aris A, Yusop Z (2014) Optimum combination of pond volume and outlet capacity of a stormwater detention pond using particle swarm optimization. Urban Water J 11(2):127–136

    Article  Google Scholar 

  • Szeląg B, Suligowski R, De Paola F, Siwicki P, Majerek D, Łagód G (2022) Influence of urban catchment characteristics and rainfall origins on the phenomenon of stormwater flooding: Case study. Environ Model Softw 150:105335

    Article  Google Scholar 

  • Todeschini S (2016) Hydrologic and environmental impacts of imperviousness in an industrial catchment of northern Italy. J Hydrol Eng 21(7):05016013

    Article  Google Scholar 

  • Ursino N (2015) Risk analysis of sustainable urban drainage and irrigation. Adv Water Resour 83:277–284

    Article  Google Scholar 

  • Wang J, Guo Y (2018) An analytical stochastic approach for evaluating the performance of combined sewer overflow tanks. Water Resour Res 54(5):3357–3375

    Article  Google Scholar 

  • Wang J, Guo Y (2019) Stochastic analysis of storm water quality control detention ponds. J Hydrol 571:573–584

    Article  Google Scholar 

  • Wang J, Guo Y (2020) Proper sizing of infiltration trenches using closed-form analytical equations. Water Resour Manage 34(12):3809–3821

    Article  Google Scholar 

  • Woznicki SA, Hondula KL, Jarnagin ST (2018) Effectiveness of landscape-based green infrastructure for stormwater management in suburban catchments. Hydrol Process 32(15):2346–2361

    Article  Google Scholar 

  • **e H, Randall M, Chau KW (2022) Green Roof Hydrological Modelling With GRU and LSTM Networks. Water Resour Manage 36:1107–1122

    Article  Google Scholar 

  • Yavari F, Salehi Neyshabouri SA, Yazdi J, Molajou A, Brysiewicz A (2022) A novel framework for urban flood damage assessment. Water Resour Manage 36(6):1991–2011

    Article  Google Scholar 

  • Zhang K, Chui TFM (2019) Linking hydrological and bioecological benefits of green infrastructures across spatial scales–A literature review. Sci Total Environ 646:1219–1231

    Article  CAS  Google Scholar 

  • Zhang S, Guo Y (2013) Explicit equation for estimating storm-water capture efficiency of rain gardens. J Hydrol Eng 18(12):1739–1748

    Article  Google Scholar 

  • Zhang S, Guo Y (2014) Stormwater capture efficiency of bioretention systems. Water Resour Manage 28(1):149–168

    Article  Google Scholar 

  • Zhang S, Zhang J, Yue T, **g X (2019) Impacts of climate change on urban rainwater harvesting systems. Sci Total Environ 665:262–274

    Article  CAS  Google Scholar 

Download references

Acknowledgements

This work was supported by the Natural Science Foundation of Shandong Province (No. ZR2021QE001), the National Natural Science Foundation of China (No.52109025), the Future Plan for Young Scholars of Shandong University. The valuable suggestions made by the editors and three anonymous reviewers are gratefully appreciated.

Funding

This work was supported by the Natural Science Foundation of Shandong Province (No. ZR2021QE001, Jun Wang), the National Natural Science Foundation of China (No.52109025, Jun Wang), the Future Plan for Young Scholars of Shandong University (Jun Wang).

Author information

Authors and Affiliations

Authors

Contributions

JW (Jiachang Wang): Methodology, Software, Investigation, Formal analysis, Data Curation, Visualization, Writing-Original Draft; JW (Jun Wang): Conceptualization, Methodology, Resources, Supervision, Writing-Original Draft, Writing-Review & Editing, Funding acquisition; SC: Validation, Resources, Supervision; CL: Investigation, Validation; SZ: Investigation, Validation; YG: Methodology, Writing—Review & Editing.

Corresponding author

Correspondence to Jun Wang.

Ethics declarations

Competing Interests

The authors declare that they have no competing interests.

Ethical Approval

The manuscript is completed in the ethical manner suggested by the targeted journal.

Consent to Participate

Not applicable.

Consent to Publish

The contributing authors have given their consent for the manuscript to be published.

Additional information

Publisher's Note

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

Highlights

• A hydrologic performance evaluation framework using analytical stochastic models is developed.

• The same storage capacity of different types of SCMs may result in different runoff reduction ratios.

• A fixed runoff reduction ratio target may not require the same storage capacity or dimensions for different SCMs.

• The effects of climate conditions, soil types and SCM types on runoff reduction ratio were investigated.

Supplementary Information

Below is the link to the electronic supplementary material.

Supplementary file1 (DOCX 6172 KB)

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

Wang, J., Wang, J., Cao, S. et al. A Framework for Quantifying Stormwater Control Measures’ Hydrologic Performance with Analytical Stochastic Models. Water Resour Manage (2024). https://doi.org/10.1007/s11269-024-03919-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s11269-024-03919-4

Keywords

Navigation