Derived Flow–Duration Relationships for Surface Runoff Dominated Small Urban Streams
Publication: Journal of Hydrologic Engineering
Volume 14, Issue 1
Abstract
For many locations, exponential probability distributions fit well the frequency distributions of rainfall event volume, duration, and interevent time. Based on these exponential distributions and a simplified scheme for rainfall-streamflow transformation, closed-form analytical expressions were derived for the determination of the flow–duration relationships of surface runoff dominated small urban streams. The main advantage of the derived analytical relationships is that they relate the flow–duration characteristics of a stream directly to its upstream catchment’s and local rainfall characteristics. Using the derived relationships, flow–duration curves that are needed for stream restoration design can be directly constructed for small urban streams without observed streamflow data. Verification studies demonstrated that simplifying assumptions invoked in the derivation process are generally acceptable for small urban streams where baseflow variations are insignificant or streamflows are generated predominantly by surface runoff.
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Acknowledgments
The writers gratefully acknowledge the financial support provided by the Natural Sciences and Engineering Research Council of Canada. Ms. Shazia Nishat’s assistance in evapotranspiration calculations is greatly appreciated.
References
Adams, B. J., Fraser, H. G., Howard, C. D. D., and Hanafy, M. S. (1986). “Meteorological data analysis for drainage system design.” J. Environ. Eng., 112(5), 827–847.
Adams, B. J., and Papa, F. (2000). Urban stormwater management planning with analytical probabilistic models, Wiley, New York.
Benjamin, J. R., and Cornell, C. A. (1970). Probability, statistics and decision for civil engineers, McGraw-Hill, New York.
Brown, K. (2000). Urban stream restoration practices: An initial assessment, The Center for Watershed Protection, Elliot City, Md.
Chalise, S. R., Kansakar, S. R., Rees, G., Croker, K., and Zaidman, M. (2003). “Management of water resources and low flow estimation for the Himalayan basins of Nepal.” J. Hydrol., 282, 25–30.
Cigizoglu, H. K., and Bayazit, M. (2000). “A generalized seasonal model for flow duration curve.” Hydrolog. Process., 14, 1053–1067.
Cordova, J. R., and Bras, R. L. (1981). “Physically based probabilistic models of infiltration, soil moisture, and actual evapotranspiration.” Water Resour. Res., 17(1), 93–106.
Cordova, J. R., and Gonzalez, M. (1997). “Sediment yield estimation in small watersheds based on streamflow and suspended sediment discharge measurement.” Soil Tech., 11, 57–65.
Doyle, M. W., Shields, D., Boyd, K. F., Skidmore, P. B., and Dominick, D. (2007). “Channel-forming discharge selection in river restoration design.” J. Hydraul. Eng., 133(7), 831–837.
Driscoll, E. D., Palhegui, G. E., Strecker, E. W., and Shelley, P. E. (1989). “Analysis of storm event characteristics for selected rainfall gauges throughout the United States.” Rep., U.S. Environmental Protection Agency, Washington, D.C., November.
Eagleson, P. S. (1972). “Dynamics of flood frequency.” Water Resour. Res., 8(4), 878–897.
Environment Canada. (2001). HYDAT CD-ROM user’s manual, Government of Canada, Ottawa.
Fennessey, N., and Vogel, R. M. (1990). “Regional flow-duration curves for ungauged sites in Massachusetts.” J. Water Resour. Plann. Manage., 116(4), 530–549.
Guo, Y., and Adams, B. J. (1998). “Hydrologic analysis of urban catchments with event-based probabilistic models 1: Runoff volume.” Water Resour. Res., 34(12), 3421–3431.
Guo, Y., and Adams, B. J. (1999). “Analysis of detention ponds for storm water quality control.” Water Resour. Res., 35(8), 2447–2456.
Guo, Y., and Baetz, B. W. (2007). “Sizing of rainwater storage units for green building applications.” J. Hydrol. Eng., 12(2), 197–205.
Howard, C. D. D. (1976). “Theory of storage and treatment plant overflows.” J. Envir. Engrg. Div., 102(EE4), 709–722.
Male, J. W., and Ogawa, H. (1984). “Tradeoffs in water quality management.” J. Water Resour. Plann. Manage., 110(4), 434–444.
Mimikou, M., and Kaemaki, S. (1985). “Regionalization of flow duration characteristics.” J. Hydrol., 82, 77–91.
Ness, R., and Joy, D. M. (2002). “Performance of natural channel designs in southwestern Ontario.” Can. Water Resour. J., 27(3), 293–315.
Nishat, S., Guo, Y., and Baetz, B. W. (2007). “Development of a simplified continuous simulation model for investigating long-term soil moisture fluctuations.” Agric. Water Manage., 92, 53–63.
Petts, G. E., Bickerton, M. A., Crawford, C., Lerner, D. N., and Evans, D. (1999). “Flow management to sustain groundwater-dominated stream ecosystems.” Hydrolog. Process., 13, 497–513.
Philips Planning and Engineering Ltd. (1987). “Master drainage plan: Town of Ancaster.” Hamilton, Ont., Canada.
Quimpo, R. G., Alejandrino, A. A., and McNally, T. A. (1983). “Regionalized flow duration for Philippines.” J. Water Resour. Plann. Manage., 109(4), 320–330.
Restrepo-Posada, P. J., and Eagleson, P. S. (1982). “Identification of independent rainstorms.” J. Hydrol., 55(1982), 303–319.
Scholz, J. G., and Booth, D. B. (2001). “Monitoring urban stream: Strategies and protocols for humid-region lowland systems.” Environ. Monit. Assess., 71, 143–164.
Singh, K. P. (1971). “Model flow duration and streamflow variability.” Water Resour. Res., 7(4), 1031–1036.
Singh, R. D., Mishra, S. K., and Chowdhary, H. (2001). “Regional flow-duration models for large number of ungauged Himalayan catchments for planning microhydro projects.” J. Hydrol. Eng., 6(4), 310–316.
Smakhtin, V. U. (2001). “Low flow hydrology: A review.” J. Hydrol., 240, 147–186.
Smakhtin, V. Y. (1999). “Generation of natural daily flow time-series in regulated rivers using a non-linear spatial interpolation technique.” Regul. Rivers: Res. Manage., 15, 311–323.
Smakhtin, V. Y., and Masse, B. (2000). “Continuous daily hydrograph simulation using duration curves of a precipitation index.” Hydrolog. Process., 14, 1083–1100.
Strevens, A. P. (1999). “Impacts of groundwater abstraction on the trout fishery of the River Piddle, Dorset, and an approach to their alleviations.” Hydrolog. Process., 13, 487–496.
U.S. Army Corps of Engineers (USACE). (2000). HEC-HMS technical reference manual, CPD-74B, Davis, Calif.
U.S. Environmental Protection Agency. (1986). “Methodology for analysis of detention basins for control of urban runoff quality.” EPA440/5-87-001, Washington, D.C.
Vogel, R. M., and Fennessey, N. M. (1994). “Flow-duration curves. I: New interpretation and confidence intervals.” J. Water Resour. Plann. Manage., 120(4), 485–504.
Vogel, R. M., and Fennessey, N. M. (1995). “Flow duration curves. II: A review of applications in water resources planning.” Water Resour. Bull., 31(6), 1029–1039.
Wanielista, M. P., and Yousef, Y. A. (1993). Stormwater management, Wiley, New York.
Yu, P.-S., and Yang, T.-C. (1996). “Synthetic regional flow duration curve for southern Taiwan.” Hydrolog. Process., 10, 373–391.
Yu, P.-S., and Yang, T.-C. (2000). “Using synthetic flow duration curves for rainfall-runoff model calibration at ungauged sites.” Hydrolog. Process., 14, 117–133.
Yu, P.-S., Yang, T.-C., and Liu, C.-W. (2002). “A regional model of low flow for southern Taiwan.” Hydrolog. Process., 16, 2017–2034.
Zaidman, M. D., Keller, V., Young, A. R., and Cadman, D. (2003). “Flow-duration-frequency behavior of British rivers based on annual minima data.” J. Hydrol., 277, 195–213.
Information & Authors
Information
Published In
Journal of Hydrologic Engineering
Volume 14 • Issue 1 • January 2009
Pages: 42 - 52
Copyright
© 2009 ASCE.
History
Received: Jul 5, 2007
Accepted: Apr 7, 2008
Published online: Jan 1, 2009
Published in print: Jan 2009
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