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THE EVOLUTION OF CONTINUOUS STORMWATER MODELLING: OVERCOMING MODERN BARRIERS Michael A. Gregory, P.Eng., Water Resources Engineer, Camp Dresser & McKee Inc., One Tampa City Center, Suite 1750, Tampa, FL 33602, USA. William James, D.Sc., Ph.D., P.Eng., FASCE. Professor of Environmental and Water Resources Engineering, University of Guelph, Guelph, ON, Canada N1G 2W1. Michael F. Schmidt, P.E., Principal Water Resources Engineer, and Brett A. Cunningham, P.E., Senior Water Resources Engineer. Camp Dresser & McKee Inc., 6650 Southpoint Parkway, Suite 330, Jacksonville, FL 32216, USA. Abstract This paper reviews the evolution of long-term, continuous water resources and stormwater modelling, described from the perspective of overcoming practical barriers. Traditional challenges included lengthy computing times, complicated software, unavailable data, and large amounts of data interpretation; challenges that were magnified by budget and schedule limitations. Many of these have been overcome through recent technological advances in computing and information science. Some obstacles remain, however, such as data management constraints. These constraints are lessened by new graphical user-interfaces, which help to manipulate and transfer continuous stormwater modelling data more efficiently. Introduction To simulate the response of stormwater runoff in urban and natural systems, engineers may use either event or continuous hydrologic models. Event models simulate only discrete wet events, and are often distinguished by output of a single runoff hydrograph computed in response to a single rainfall event. Rainfall frequencies and design storm distributions are based on simple characteristics of highly variable observed storm events, and the frequency of the computed hydrograph is assumed to be the same as the rainfall. This approach ignores the dependence of computed responses on input assumptions of antecedent hydrologic conditions and other factors, and has been questioned (Litwin and Donigian, 1978; Adams and Howard, 1985; Huber et al., 1986). Since the real inter-event dry periods are not generally related mathematically to the input or design storm, the assumed start-up conditions are arbitrary (James and Robinson, 1986). Examples of event-based models include the rational method, TR-20 from the United States (US) Soil Conservation Service, and HEC-1 from the US Army Corps of Engineers. Continuous stormwater models take into account a continuous water budget in the system, and may be applied to meteorological datasets from weeks to several decades in duration. Since these models are able to simulate hydrologic processes between rainfall events (for example, evaporation and recovery of soilwater storage), the modeller does not have to make as many key assumptions about start-up conditions for wet weather processes. Furthermore, the allocation of runoff hydrograph frequencies is improved. Examples of continuous models include the Storm Water Management Model (SWMM) and the Hydrological Simulation Program - Fortran (HSP-F) from the US Environmental Protection Agency; and the Storage, Treatment, Overflow, Runoff Model (STORM) from the US Army Corps of Engineers. With these models, a dry weather timestep of one hour or more is typically used because of the slow speed of inter-event processes; wet weather timesteps are chosen according to the catchment response time and resolution of available data, generally five to fifteen minutes. Continuous simulation has been found useful for many design objectives (James and Robinson, 1986; Schmidt et al., 1993; CDM, 1995). Design objectives include: Compute the number and duration of flow or volume exceedances for evaluation of erosion and channel stability. Evaluate water quality impacts on receiving waters. Evaluate the impact of stormwater management alternatives. Evaluate the performance of storage facilities. Compute the number, duration and magnitude of diversions such as combined sewer overflows. Long-term continuous modelling is most appropriate when addressing environmental issues, such as the study of groundwater and surface water interactions (Schmidt et al., 1995a); for water quality problems associated with nonpoint source pollution (Litwin and Donigian, 1978; Pitt, 1995); or for selecting antecedent moisture and baseflow conditions in flood routing studies (Schmidt et al., 1995b). Since different rainfall events cause different pollutant washoff, transport, and kinetic interactions, event-based methods are inappropriate for use with water quality standards (Medina, 1987). Furthermore, whereas event-based methods have largely been developed using data for rare storm events, it has been shown that water quality standards are often violated during small, relatively common storm events (Pitt, 1986). Event-based models have a place in engineering practice, however, many water resource, erosional, and water quality effects require continuous simulation to fully comprehend the many complex physical interactions within the system. Event-based methods are useful for teaching fundamental hydrologic and hydraulic concepts. Yet in school, analysis and design economy is often the focus of water resources engineering courses, and so very little coverage is given to continuous modelling in textbooks. In practice, modellers must be aware of the dangers in adopting short-term convenience and economy when prescribing solutions to long-term problems. Solutions are best achieved by trying to understand the problem, not by simplifying the problem solely in the interest of minimizing costs. Traditional Barriers Continuous stormwater modelling is not a new idea. Over thirty years ago, the Stanford Watershed Model was developed and applied to large watersheds (Crawford and Linsley, 1966). However, event-based models have continued their hold on the mainstream of water resources engineering. In practice, many barriers against adopting continuous modelling methods for analysis and design of stormwater systems have been identified over the years. Technological advances in computing, and information acquisition and exchange have helped to overcome many of these barriers. Computing Power Stormwater modelling has traditionally been concerned only with minimum, maximum, or average water quantity or quality conditions during selected events. In the infancy of personal computers, there were valid arguments about the feasibility of long-term continuous simulation, resulting from deficiencies in available computer memory and processing speed. This argument has deteriorated as high-power and less-expensive computers have overwhelmed the marketplace. For example, test trials of 75-year simulations using SWMM (25 catchments, 25 pipes, 7 pollutants, 5 land uses, and an hourly timestep) took 7.5 hours on a 486DX-66 MHz computer, compared to 67 hours on a 386DX-22 MHz computer (Kuch and James, 1993). Performance results have improved further still, with 32-bit versions of SWMM run on computers with Pentium processors. Data Availability Many opponents of continuous modelling have argued that there is a lack of input data for calibrating and applying such models (Cao et al., 1994). New media, such as the Internet and CD- ROM, have challenged conventional digital data media, offering open access to widely distributed information systems and providing reliable, high capacity and high transfer speeds at low cost (Gregory and James, 1995). Long-term hydrologic datasets are available on CD-ROM from many public and private agencies. In addition, a number of agencies offer World Wide Web home pages on the Internet from which visitors can download datasets. The US Geological Survey and the US National Climatic Data Center both offer data products on CD-ROM and via the Internet. Modelling Expertise It has been argued that continuous stormwater models are often too complicated, requiring special expertise to operate (Marsalek and Sztruhar, 1994). Evolving computing environments have led to improved user-interfaces, on-line technical assistance tools, and other software to assist modellers (Gregory and James, 1995). There is also a notion that calibration of continuous models is complicated, and fundamentally different from the calibration of event models (Nix, 1994). However, it has been shown that, for models structured in the manner of SWMM, the interaction of dry and wet processes may be handled directly (James, 1993; Schmidt et al., 1995b). Modern Barriers Although powerful computers have helped to eliminate past arguments, new challenges have arisen. Model Complexity Researchers are concerned about the complexity of continuous stormwater models like SWMM or HSP-F. Models should be as complex as necessary to provide the answers needed to make management decisions. Additionally, model complexity should depend on the nature of available data and the specific algorithms used in the selected model. It has been suggested that, in certain cases, some of the simpler approaches may be more appropriate to the level of available data for many management decisions (Grayson et al., 1992). As an indicator of the forces against continuous modelling, it has been proposed that simpler, less data-intensive models provide as good or even better predictions than more physically-based models (Jakeman and Hornberger, 1993). Yet, despite this advice to not make stormwater modelling more complicated than it needs to be, Klemes (1986) warns us of the consequences of ignoring the fundamentals, stating that ...the credibility of hydrologic models can rest only on at least approximately correct rendering of the true dynamics of these processes.... Indeed, it may be that our ethical responsibility requires that we seek a better understanding of hydrologic complexity, and not ignore it by adopting simplistic methods (James, 1994). Data Management Long-term continuous stormwater modelling is not so much a matter of added complexity, rather, it is more a matter of inconvenience for the modeller since more effort is required. With such models, there is not much difference between event and long-term continuous modelling, except that more processes must be calibrated, and more data must be managed. Focus therefore shifts from model complexity to the provision of software utilities that assist with calibration and data management. While the old barriers are coming down, there appears to be one more hurdle in the evolution of continuous modelling: the increasingly troublesome task of data management. Long-term continuous modelling is impeded by the variety of scales and formats of modelling data, and the task of organizing large volumes of time-series data (observations or computations that have been made sequentially in time). Large sets of hydro-meteorological time-series data are required as input, and large datasets are created as output. Time-series data must be manipulated as contiguous blocks of related data, as opposed to being addressed as individual data elements in related tables, as with commercial database systems. Two time-series data management systems that have gained widespread use are ANNIE from the US Geological Survey, and the Hydrologic Engineering Center Data Storage System (HECDSS) from the US Army Corps of Engineers. To satisfy the need for a data management system for continuous stormwater modelling data, a graphical user-interface that automatically manages and processes long-term datasets was developed (Gregory and James, 1995). Known as CASCCADE, the user-interface includes several utilities: File retrieval operations that let the user select hourly rainfall datafiles from an archival ANNIE database. Files can be exported in a variety of formats for use by SWMM. File archival operations that allow users to select various SWMM-formatted datafiles and import them into an ANNIE database. Data analysis operations that automatically process input files, launch the SWMM program, and summarize statistical results. Over 140 years of hourly rainfall data were used to test CASCCADE. It was found that between 150,000 and 200,000 years of hourly rainfall data from a single weather station could be stored on one CD-ROM, or the same data could be transmitted via the Internet in only 12 hours during a low-demand period (Gregory and James, 1995). In contrast, conventional data storage and retrieval methods (including such tasks as submitting a formal request to the archiving agency, and then waiting to receive the diskettes by mail) could take days or weeks. This study helped reveal the practicality of long-term continuous modelling by overcoming data management barriers. It also integrated a wide community of users by bringing together diverse stormwater modelling applications and database systems. Further enhancements have been added, resulting in the development of CASCADE2 (Wang, 1996). Together, CASCCADE and CASCADE2 effectively link two popular continuous stormwater models, SWMM and HSP-F, with two popular time-series data management systems, ANNIE and HECDSS. By using standardized data formats, it was shown that the transfer of data between various modelling applications was not constrained by the limitations imposed by the individual models. In this way, model revisions and even new software could be accommodated. Such an approach recognizes that technological advances will continue to evolve, and that modelling applications must adapt accordingly. Conclusions Continuous simulation is a fundamental tool in the long-term assessment of urban and natural water resource management systems. Continuous models have evolved in response to new and emerging computer technologies. Unfortunately, event-based models continue to be used in the same way, with the same data and the same assumptions as they were used long before computers arrived. Event-based models remain popular even though they often ignore or greatly simplify important hydrologic processes, and cannot be used to predict long-term environmental impacts or interactions in a complex system. The intent of this paper is not to deride event-based hydrology methods, but rather to address practical barriers against the use of continuous hydrology models. Simple event-based methods may be used for certain design objectives, but only with due regard to the uncertainty and variability of physical processes. By applying continuous modelling methods, the modeller is able to better recognize such issues. 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