Technical Papers
Sep 26, 2018

Evaluation of Stormwater Infrastructure Design Storms Developed Using Partial Duration and Annual Maximum Series Models

Publication: Journal of Hydrologic Engineering
Volume 23, Issue 12

Abstract

This study assesses the advantages and limitations of developing design storms using the partial duration series exceedance-based (PDS-E) rainfall frequency model in comparison with the annual maximum series (AMS) model. Rainfall records were obtained from 21 rainfall gauges in Ontario. A procedure to develop the PDS-E was derived, addressing sensitivities to missing values, selection of thresholds, and quantile and confidence limit estimates. The reference values of 1-h duration and 2- and 5-year return period design rainfall intensities were 10% and 3% greater in PDS-E than in AMS data, on average, indicating the merits of using PDS-E data for exceedance-based modeling of frequent events. The PDS-E estimates of 1-h duration and 5-year return period events were 3.5% greater than AMS estimates. The use of the PDS-E method over the AMS method for developing design storms for stormwater infrastructure is recommended.

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Acknowledgments

The research funding provided by the Canada Research Chair program and the Natural Sciences and Engineering Research Council (NSERC) Discovery program is gratefully acknowledged. The data provided by Environment Canada is highly appreciated.

References

Ashkar, F., and J. Rousselle. 1981. “Design discharge as a random variable: A risk study.” Water Resour. Res. 17 (3): 577–591. https://doi.org/10.1029/WR017i003p00577.
Ashkar, F., and J. Rousselle. 1983a. “Some remarks on the truncation used in partial flood series models.” Water Resour. Res. 19 (2): 477–480. https://doi.org/10.1029/WR019i002p00477.
Ashkar, F., and J. Rousselle. 1983b. “The effect of certain restrictions imposed on the interarrival times of flood events on the Poisson distribution used for modeling flood counts.” Water Resour. Res. 19 (2): 481–485. https://doi.org/10.1029/WR019i002p00481.
Ashkar, F., and J. Rousselle. 1987. “Partial duration series modeling under the assumption of a Poissonian flood count.” J. Hydrol. 90 (1–2): 135–144. https://doi.org/10.1016/0022-1694(87)90176-4.
Asnaashari, A., B. Gharabaghi, E. McBean, and A. A. Mahboubi. 2015. “Reservoir management under predictable climate variability and change.” J. Water Clim. Change 6 (3): 472–485. https://doi.org/10.2166/wcc.2015.053.
Atieh, M., R. Rudra, B. Gharabaghi, and D. Lubitz. 2017. “Investigating the spatial and temporal variability of precipitation using entropy theory.” J. Water Manage. Modell. 25: C420. https://doi.org/10.14796/JWMM.C420.
Beguería, S., M. Angulo-Martínez, S. M. Vicente-Serrano, J. I. López-Moreno, and A. El-Kenawy. 2011. “Assessing trends in extreme precipitation events intensity and magnitude using non-stationary peaks-over-threshold analysis: A case study in northeast Spain from 1930 to 2006.” Int. J. Climatol. 31 (14): 2102–2114. https://doi.org/10.1002/joc.2218.
Buishand, T. 1989. “The partial duration series method with a fixed number of peaks.” J. Hydrol. 109 (1–2): 1–9. https://doi.org/10.1016/0022-1694(89)90002-4.
Chang, N. 2010. “Hydrological connections between low-impact development, watershed best management practices, and sustainable development.” J. Hydrol. Eng. 15 (6): 384–385. https://doi.org/10.1061/(ASCE)HE.1943-5584.0000236.
Chow, V. T. 1953. Frequency analysis of hydrologic data with special application to rainfall intensities. Champaign, IL: Engineering Experiment Station, Univ. of Illinois.
Coles, S. 2001. An introduction to statistical modeling of extreme values. London: Springer.
Cunnane, C. 1973. “A particular comparison of annual maxima and partial duration series methods of flood frequency prediction.” J. Hydrol. 18 (3–4): 257–271. https://doi.org/10.1016/0022-1694(73)90051-6.
Cunnane, C. 1979. “A note on the Poisson assumption in partial duration series models.” Water Resour. Res. 15 (2): 489–494. https://doi.org/10.1029/WR015i002p00489.
CVC (Credit Valley Conservation). 2013. “Elm Drive: Road right-of-way retrofit.” Accessed January 3, 2018. http://www.creditvalleyca.ca/wp-content/uploads/2013/08/CVC-Case-Study-Elm-Drive_Aug20131.pdf.
Forsee, W. J., and S. Ahmad. 2011. “Evaluating urban storm-water infrastructure design in response to projected climate change.” J. Hydrol. Eng. 16 (11): 865–873. https://doi.org/10.1061/(ASCE)HE.1943-5584.0000383.
Gringorten, I. I. 1963. “A plotting rule for extreme probability paper.” J. Geophys. Res. 68 (3): 813–814. https://doi.org/10.1029/JZ068i003p00813.
Hoss, F., J. Fischbach, and E. Molina-Perez. 2016. “Effectiveness of best management practices for stormwater treatment as a function of runoff volume.” J. Water Resour. Plann. Manage. 142 (11): 05016009. https://doi.org/10.1061/(ASCE)WR.1943-5452.0000684.
Karamouz, M., and S. Nazif. 2013. “Reliability-based flood management in urban watersheds considering climate change impacts.” J. Water Resour. Plann. Manage. 139 (5): 520–533. https://doi.org/10.1061/(ASCE)WR.1943-5452.0000345.
Kirshen, P., L. Caputo, R. M. Vogel, P. Mathisen, A. Rosner, and T. Renaud. 2015. “Adapting urban infrastructure to climate change: A drainage case study.” J. Water Resour. Plann. Manage. 141 (4): 04014064. https://doi.org/10.1061/(ASCE)WR.1943-5452.0000443.
Langbein, W. B. 1949. “Annual floods and the partial-duration flood series.” EOS Trans. AGU 30 (6): 879–881. https://doi.org/10.1029/TR030i006p00879.
Laurenson, E. M. 1987. “Back to basics on flood frequency analysis.” Civ. Eng. Trans. 29 (2): 47–53.
Madsen, H., C. P. Peason, and D. Rosbjerg. 1997. “Comparison of annual maximum series and partial duration series methods for modeling extreme hydrologic events. Part II: Regional modeling.” Water Resour. Res. 33 (4): 759–769. https://doi.org/10.1029/96WR03849.
Madsen, H., D. Rosbjerg, and P. Harremoöes. 1994. “PDS-modelling and regional Bayesian estimation of extreme rainfalls.” Hydrol. Res. 25 (4): 279–300. https://doi.org/10.2166/nh.1994.0009.
Madsen, H., D. Rosbjerg, and P. Harremoöes. 1995. “Application of the Bayesian approach in regional analysis of extreme rainfalls.” Stochastic Hydrol. Hydraul. 9 (1): 77–88. https://doi.org/10.1007/BF01581759.
Pyke, C., M. P. Warren, T. Johnson, J. LaGro Jr., P. G. Schargenberg, R. Freed, W. Schroeer, and E. Main. 2011. “Assessment of low impact development for managing stormwater with changing precipitation due to climate change.” Landscape Urban Plann. 103 (2): 166–173. https://doi.org/10.1016/j.landurbplan.2011.07.006.
Rosbjerg, D. 1985. “Estimation in partial duration series with independent and dependent peak values.” J. Hydrol. 76 (1–2): 183–195. https://doi.org/10.1016/0022-1694(85)90098-8.
Rosbjerg, D., and H. Madsen. 1996. “The role of regional information in estimation of extreme point rainfalls.” Atmos. Res. 42 (1–4): 113–122. https://doi.org/10.1016/0169-8095(95)00057-7.
Rudra, R., W. T. Dickinson, S. I. Ahmed, P. Patel, J. Zhou, and B. Gharabaghi. 2015. “Changes in rainfall extremes in Ontario.” Int. J. Environ. Res. 9 (4): 1117–1372. https://doi.org/10.22059/IJER.2015.1000.
STEP (Sustainable Technologies Evaluation Program). 2015. “Hydrologic assessment of LID Honda campus, Markham, ON, technical brief.” Accessed January 3, 2018. https://sustainabletechnologies.ca/app/uploads/2015/07/Honda_TechBrief_July2015.pdf.
STEP (Sustainable Technologies Evaluation Program). 2018a. “Evaluation of low impact development best practices for residential developments—Mosaik Homes, Glenway Subdivision, Newmarket.” Accessed January 3, 2018. https://sustainabletechnologies.ca/home/urban-runoff-green-infrastructure/low-impact-development/evaluation-of-low-impact-development-best-practices-for-residential-developments-mosaik-homes-glenway-subdivision-newmarket/.
STEP (Sustainable Technologies Evaluation Program). 2018b. “Low impact development treatment train tool.” Accessed January 3, 2018. https://sustainabletechnologies.ca/low-impact-development-treatment-train-tool/.
Tavares, L., and J. D. Silva. 1983. “Partial duration series method revisited.” J. Hydrol. 64 (1–4): 1–14. https://doi.org/10.1016/0022-1694(83)90056-2.
Todorovic, P., and J. Rousselle. 1971. “Some problems of flood analysis.” Water Resour. Res. 7 (5): 1144–1150. https://doi.org/10.1029/WR007i005p01144.
Todorovic, P., and E. Zelenhasic. 1970. “A stochastic model for flood analysis.” Water Resour. Res. 6 (6): 1641–1648. https://doi.org/10.1029/WR006i006p01641.
Trefry, C. M., D. W. Watkins, and D. Johnson. 2005. “Regional rainfall frequency analysis for the state of Michigan.” J. Hydrol. Eng. 10 (6): 437–449. https://doi.org/10.1061/(ASCE)1084-0699(2005)10:6(437).
Vasiljevic, B., E. McBean, and B. Gharabaghi. 2012. “Trends in rainfall intensity for stormwater designs in Ontario.” J. Water Clim. Change 3 (1): 1–10. https://doi.org/10.2166/wcc.2012.125.
Wang, M., D. Zhang, A. Adhityan, W. J. Ng, J. Dong, and S. K. Tan. 2016. “Assessing cost-effectiveness of bioretention on stormwater in response to climate change and urbanization for future scenarios.” J. Hydrol. 543: 423–432. https://doi.org/10.1016/j.jhydrol.2016.10.019.
Wang, Q. 1991. “The pot model described by the generalized Pareto distribution with Poisson arrival rate.” J. Hydrol. 129 (1–4): 263–280. https://doi.org/10.1016/0022-1694(91)90054-L.
Wang, Y., E. McBean, and B. Gharabaghi. 2018. “Increased risks of waterborne disease outbreaks in northern Ontario due to climate change.” J. Water Manage. Modell. 26: C436 https://doi.org/10.14796/JWMM.C436.
Williams, E. S., and W. R. Wise. 2009. “Economic impacts of alternative approaches to storm-water management and land development.” J. Water Resour. Plann. Manage. 135 (6): 537–546. https://doi.org/10.1061/(ASCE)0733-9496(2009)135:6(537).
Yilmaz, A. G., H. Safaet, F. Huang, and B. J. C. Perera. 2014. “Tie-varying character of storm intensity frequency and duration curves.” Aust. J. Water Resour. 18 (1): 15–26. https://doi.org/10.7158/W12-017.2014.18.1.
Zahmatkesh, Z., M. Karamouz, S. Goharian, and S. J. Burian. 2014. “Analysis of the effects of climate change on urban storm water runoff using statistically downscaled precipitation data and a change factor approach.” J. Hydrol. Eng. 20 (7): 05014022. https://doi.org/10.1061/(ASCE)HE.1943-5584.0001064.

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Go to Journal of Hydrologic Engineering
Journal of Hydrologic Engineering
Volume 23Issue 12December 2018

History

Received: Feb 9, 2018
Accepted: Jul 5, 2018
Published online: Sep 26, 2018
Published in print: Dec 1, 2018
Discussion open until: Feb 26, 2019

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Sandra Vrban [email protected]
Graduate Student, Dept. of Environmental Engineering, School of Engineering, Univ. of Guelph, Guelph, ON, Canada N1G 2W1. Email: [email protected]
Yi Wang, Ph.D. [email protected]
Post Doctorate Research Fellow, Dept. of Water Resources Engineering, School of Engineering, Univ. of Guelph, Guelph, ON, Canada N1G 2W1. Email: [email protected]
Edward A. McBean, Ph.D., M.ASCE [email protected]
P.Eng.
Professor, Dept. of Water Resources Engineering, School of Engineering, Univ. of Guelph, Guelph, ON, Canada N1G 2W1. Email: [email protected]
Andrew Binns, Ph.D. [email protected]
Professor, Dept. of Water Resources Engineering, School of Engineering, Univ. of Guelph, Guelph, ON, Canada N1G 2W1. Email: [email protected]
Professor, Associate Director (Graduate Studies), Dept. of Water Resources Engineering, School of Engineering, Univ. of Guelph, Guelph, ON, Canada N1G 2W1 (corresponding author). ORCID: https://orcid.org/0000-0003-0454-2811. Email: [email protected]

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