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ClimateChange Assessment Guide.pdf - University of Waterloo

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<strong>Guide</strong> for <strong>Assessment</strong> <strong>of</strong> Hydrologic Effects <strong>of</strong> Climate Change in Ontario58Guidance:A sensitivity analysis <strong>of</strong> the most important modelprocess parameters should be conducted beforecalibration as this analysis guides the parameteradjustment process.Continuous simulation models are evaluated bycomparing summary statistics from simulated andobserved time series <strong>of</strong> streamflow at key sites. Somemeasure <strong>of</strong> goodness <strong>of</strong> fit between the simulated andobserved values such as a sum <strong>of</strong> squares <strong>of</strong> residuals isused. The Nash-Sutcliffe Coefficient (ASCE, 1993) is oneexample <strong>of</strong> a sum <strong>of</strong> squares <strong>of</strong> residuals coefficient thatmeasures the level <strong>of</strong> agreement between the simulatedand observed time series. Other important comparisonsin hydrologic model calibration include total volumes <strong>of</strong>streamflow in event, daily, monthly and annual terms andflow frequency distributions over the simulation period.Specific statistics can also be compared, such as low flowstatistics (i.e., 7Q 2, 7Q 20), average flow rates.The objective <strong>of</strong> calibration is to conduct severalmodel tests to evaluate the hydrologic model in allaspects, including the ability <strong>of</strong> the model to simulateaverage conditions, seasonal events (i.e., snowmeltand accumulation) and extreme events (i.e., droughts).The model test procedure should, therefore, examinecumulative metrics (i.e., flow volumes), extreme statistics(i.e., flow frequency distribution) and overall agreement.While event based models are not preferred for waterbalance studies, they may have application in somestudies. Calibration <strong>of</strong> event based models is limited tostorm events and thus model performance is evaluatedin terms <strong>of</strong> event run<strong>of</strong>f volume and timing. Generally, aset <strong>of</strong> storm events <strong>of</strong> differing magnitudes is used formodel testing. If the model is intended for a 12 monthsimulation, the selected events should encompass allseasons and include minor as well as major storms.Event models are not capable <strong>of</strong> assessing the effects<strong>of</strong> sequences <strong>of</strong> events on the hydrologic outcomesand therefore cannot be used to assess climatechange effects if changes are expected in storm eventsequences.Model validation is conducted to confirm that the modelparameters are well calibrated and robust; therefore,validation must be conducted under different conditionsthan calibration. This implies a different time periodand possibly changes in other conditions in the studyarea (i.e., land use). A robust model performs well underboth calibration and validation conditions. Validationperiods may range from selected events to several years<strong>of</strong> continuous streamflow. Model evaluation metrics andprocedures are the same as for the calibration phase.Rigid criteria for determining the success <strong>of</strong> thecalibration/validation processes are not generally used.Rather judgement is applied to the calibration/validationresults while considering the model objectives and theneed for accuracy. A model that simulates flow volumeswithin 10%-15% <strong>of</strong> observed volumes on a long-termbasis (i.e., monthly, seasonally or annually), is generallyconsidered reasonably accurate in terms <strong>of</strong> overall waterbalance. Simulated storm event total flow volumeswithin 10% <strong>of</strong> the observed are considered reasonable.When comparing flow frequency distributions, particularattention is given to the median flow rate and low flowstatistics. The modeller should try to eliminate any zonesin the flow duration curves where there is significantdeparture between the simulated and observeddistributions as these indicate a potential systematicweakness in the model.Guidance:The model calibration and validation processshould be well documented as these resultsreflect upon the validity <strong>of</strong> model simulationsand conclusions drawn from the study at allsubsequent stages.6.3.3 Determine Errors and ConfidenceOne <strong>of</strong> the most difficult concepts in hydrologicmodelling is the expression <strong>of</strong> confidence in simulationresults and the identification <strong>of</strong> the sources <strong>of</strong> error.This is difficult because the sources <strong>of</strong> error cannot beprecisely quantified or described; and the overall impact<strong>of</strong> the errors is difficult to quantify because <strong>of</strong> the largenumber <strong>of</strong> possible sources <strong>of</strong> error and the interactionbetween them.

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