Technical Papers
Jan 16, 2012

Analytical Probabilistic Model for Evaluating the Hydrologic Performance of Green Roofs

Publication: Journal of Hydrologic Engineering
Volume 18, Issue 1

Abstract

An easy-to-use and physically based analytical probabilistic model is developed to evaluate the long-term average hydrologic performance of green roofs. The probabilistic models of local rainfall characteristics are introduced first, the hydrologic and hydraulic processes occurring on and inside a green roof system are then described mathematically, and the closed-form mathematical expressions depicting the storm-water management performance of a green roof system are finally obtained using the derived probability distribution theory. Simplifying assumptions are made to mathematically describe the hydrologic and hydraulic processes. The validity of these assumptions and the overall probabilistic approach is demonstrated by comparing its outcomes with results from a series of continuous simulations using long-term rainfall data from Detroit, Michigan and observations from a real case study in Portland, Oregon.

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Acknowledgments

This work was supported by the Natural Sciences and Engineering Research Council of Canada and the China Scholarship Council.

References

Adams, B. J., and Papa, F. (2000). Urban stormwater management planning with analytical probabilistic models, Wiley, New York.
Adams, B. J., Fraser, H. G., Howard, C. D. D., and Hanafy, M. S. (1986). “Meteorologic data analysis for drainage system design.” J. Environ. Eng., 112(5), 827–848.
Alfredo, K., Montalto, F., and Goldstein, A. (2010). “Observed and modeled performances of prototype green roof test plots subjected to simulated low- and high-intensity precipitations in a laboratory experiment.” J. Hydrol. Eng., 15(6), 444–457.
Antrop, M. (2004). “Landscape change and the urbanization process in Europe.” Landscape Urban Plann., 67(1–4), 9–26.
Ashkar, F., and Rousselle, J. (1987). “Partial duration series modeling under the assumption of a Poissonian flood count.” J. Hydrol. (Amsterdam), 90(1–2), 135–144.
Bengtsson, L., Grahn, L., and Olsson, J. (2005). “Hydrological function of a thin extensive green roof in southern Sweden.” Nordic Hydrol., 36(3), 259–268.
Benjamin, J. R., and Cornell, C. A. (1970). Probability, statistics and decision for civil engineers, McGraw-Hill, New York.
Berghage, R. D. et al. (2007). Quantifying evaporation and transpirational water losses from green roofs and green roof media capacity for neutralizing acid rain, National Decentralized Water Resources Capacity Development Project. Pennsylvania State Univ., University Park, PA.
Berndtsson, J. C. (2010). “Green roof performance towards management of runoff water quantity and quality: A review.” Ecol. Eng., 36(4), 351–360.
Brenneisen, S. (2006). “Space for urban wildlife: Designing green roofs as habitats in Switzerland.” Urban Habitats, 4(1), 27–36.
Carter, T. L., and Jackson, C. R. (2007). “Vegetated roofs for storm water management at multiple spatial scales.” Landscape Urban Plann., 80(1–2), 84–94.
Carter, T. L., and Rasmussen, T. C. (2006). “Hydrologic behaviour of vegetated roofs.” J. Am. Water Resour. Assoc., 42(5), 1261–1274.
Chau, K. W., Wu, C. L., and Li, Y. S. (2005). “Comparison of several flood forecasting models in Yangtze River.” J. Hydrol. Eng., 10(6), 485–491.
Cheng, C. T., Ou, C. P., and Chau, K. W. (2002). “Combining a fuzzy optimal model with a genetic algorithm to solve multiobjective rainfall-runoff model calibration.” J. Hydrol. (Amsterdam), 268(1–4), 72–86.
Cruise, J. F., and Arora, K. (1990). “A hydroclimatic application strategy for the Poisson partial duration model.” Water Resour. Bull., 26(3), 431–442.
Cunnane, C. (1979). “A note on the Poisson assumption in partial duration series models.” Water Resour. Res., 15(2), 489–494.
Deutsch, B., Whitlow, H., Sullivan, M., and Savineau, A. (2005). “Re-greening Washington, DC: A green roof vision based on environmental benefits for air quality and storm water management.” Proc., 3rd North American Green Roof Conf. on Greening Rooftops for Sustainable Communities, Cardinal Group, Toronto, 379–384.
DiGiovanni, K., Gaffin, S., and Montalto, F. (2010). “Green roof hydrology: Results from a small-scale lysimeter setup (Bronx, NY).” Proc., Low Impact Development 2010: Redefining Water in the City, ASCE, Reston, VA.
Dunnett, N., and Kingsbury, N. (2004). Planting green roofs and living walls, Timber Press, Portland, OR.
Eagleson, P. S. (1972). “Dynamics of flood frequency.” Water Resour. Res., 8(4), 878–898.
Eagleson, P. S. (1978). “Climate, soil, and vegetation, 2. The distribution of annual precipitation derived from observed storm sequences.” Water Resour. Res., 14(5), 713–721.
Fang, C. (2008). “Evaluating the thermal reduction effect of plant layers on rooftops.” Energy Build., 40(6), 1048–1052.
Gedge, D., and Kadas, G. (2005). “Green roofs and biodiversity.” Biologist, 52(3), 161–169.
Getter, K. L., Rowe, D. B., and Andresen, J. A. (2007). “Quantifying the effect of slope on extensive green roof stormwater retention.” Ecol. Eng., 31(4), 225–231.
Guo, Y. (2001). “Hydrologic design of urban flood control detention ponds.” J. Hydrol. Eng., 6(6), 472–479.
Guo, Y., and Adams, B. J. (1998). “Hydrologic analysis of urban catchments with event-based probabilistic models. I: Runoff volume.” Water Resour. Res., 34(12), 3421–3431.
Guo, Y., and Baetz, B. W. (2007). “Sizing of rainwater storage units for green building applications.” J. Hydrol. Eng., 12(2), 197–205.
Guo, Y., Hansen, D., and Li, C. (2009). “Probabilistic approach to estimating the effects of channel reaches on flood frequencies.” Water Resour. Res., 45, W08404,.
Hilten, R. N., Lawrence, T. M., and Tollner, E. W. (2008). “Modeling storm water runoff from green roofs with HYDRUS-1D.” J. Hydrol. (Amsterdam), 358(3–4), 288–293.
Howard, C. D. D. (1976). “Theory of storage and treatment-plant overflows.” J. Environ. Eng. Div., 102(4), 709–722.
Hutchinson, D., Abrams, P., Retzlaff, R., and Liptan, T. (2003). “Stormwater monitoring two ecoroofs in Portland, Oregon, USA.” Proc., Greening Rooftops for Sustainable Communities, The Cardinal Group, Toronto.
Kosareo, L., and Ries, R. (2007). “Comparative environmental life cycle assessment of green roofs.” Build. Environ., 42(7), 2606–2613.
Mentens, J., Raes, D., and Hermy, M. (2006). “Green roofs as a tool for solving the rainwater runoff problem in the urbanised 21st century.” Landscape Urban Plann., 77(3), 217–226.
Monterusso, M. A., Rowe, D. B., and Rugh, C. L. (2004). “Runoff water quantity and quality from green roof systems.” Acta Hort. (ISHS), 639, 369–376.
Oberndorfer, E. et al. (2007). “Green roofs as urban ecosystems: Ecological structures, functions, and services.” BioScience, 57(10), 823–833.
Palla, A., Gnecco, I., and Lanza, L. G. (2009). “Unsaturated 2D modelling of subsurface water flow in the coarse-grained porous matrix of a green roof.” J. Hydrol. (Amsterdam), 379(1–2), 193–204.
Peck, S. W. (2005). “Toronto: A model for North American infrastructure development.” Green roofs: Ecological design and construction, Earth Pledge, Schiffer, Atglen, PA, 127–129.
Rawls, W. J., Brakensiek, D. L., and Miller, N. (1983). “Green-Ampt infiltration parameters from soils data.” J. Hydraul. Eng., 109(1), 62–70.
Restrepo-Posada, P. J., and Eagleson, P. S. (1982). “Identification of independent rainstorms.” J. Hydrol. (Amsterdam), 55(1–4), 303–319.
Rossman, L. A. (2010)., U.S. EPA, Cincinnati, OH.
She, N., and Pang, J. (2010). “Physically based green roof model.” J. Hydrol. Eng., 15(6), 458–464.
Simmons, M. T., Gardiner, B., Windhager, S., and Tinsley, J. (2008). “Green roofs are not created equal: The hydrologic and thermal performance of six different extensive green roofs and reflective and non-reflective roofs in a sub-tropical climate.” Urban Ecosyst., 11(4), 339–348.
United Nations. (2002).World urbanization prospects: The 2001 revision, New York.
Villarreal, E. L., and Bengtsson, L. (2005). “Response of a sedum green-roof to individual rain events.” Ecol. Eng., 25(1), 1–7.
Voyde, E., Fassman, E., and Simcock, R. (2010a). “Hydrology of an extensive living roof under sub-tropical climate conditions in Auckland, New Zealand.” J. Hydrol. (Amsterdam), 394(3–4), 384–395.
Voyde, E., Fassman, E., Simcock, R., and Wells, J. (2010b). “Quantifying evapotranspiration rates for New Zealand green roofs.” J. Hydrol. Eng., 15(6), 395–403.
Western Regional Climate Center. (2011). 〈http://www.wrcc.dri.edu/htmlfiles/westevap.final.html〉 (Sep. 10, 2011).
Wolf, D., and Lundholm, J. T. (2008). “Water uptake in green roof microcosms: Effects of plant species and water availability.” Ecol. Eng., 33(2), 179–186.
Wong, N. H., Chen, Y., Ong, C. L., and Sia, A. (2003). “Investigation of thermal benefits of rooftop garden in the tropical environment.” Build. Environ., 38(2), 261–270.
Wong, N. H., Tan, P. Y., and Chen, Y. (2007). “Study of thermal performance of extensive rooftop greenery systems in the tropical climate.” Build. Environ., 42(1), 25–54.
Wu, C. L., Chau, K. W., and Li, Y. S. (2009). “Predicting monthly streamflow using data-driven models coupled with data-preprocessing techniques.” Water Resour. Res., 45, W08432,.
Zimmer, U., and Geiger, W. F. (1997). “Model for the design of multi-layered infiltration systems.” Water Sci. Technol., 36(8–9), 301–306.

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Go to Journal of Hydrologic Engineering
Journal of Hydrologic Engineering
Volume 18Issue 1January 2013
Pages: 19 - 28

History

Received: Jun 1, 2011
Accepted: Jan 13, 2012
Published online: Jan 16, 2012
Published in print: Jan 1, 2013

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Shouhong Zhang [email protected]
Graduate Student, Dept. of Civil Engineering, McMaster Univ., Hamilton, ON, Canada L8S 4L7. E-mail: [email protected]
M.ASCE
Associate Professor, Dept. of Civil Engineering, McMaster Univ., Hamilton, ON, Canada L8S 4L7 (corresponding author). E-mail: [email protected]

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