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Western Dam Engineering <br /> Technical Note <br /> <br /> <br /> May 2017 <br /> <br /> <br />17 <br />(using the full record of gage data), etc. Other <br />methodologies, like those associated with ungaged <br />watersheds (e.g., regional regression equations to <br />predict runoff rates), could also be used; however, <br />observed and measured data are preferable, <br />where available. <br />ο‚· Pseudo-Calibrations – Independent data are based <br />on both observed (i.e., gage) and predicted (i.e., <br />ungaged) data and could include the <br />aforementioned independent gage data as well as <br />runoff rates predicted from local and regional <br />regression equations, correlations with <br />neighboring gaged watersheds, etc. <br /> <br /> <br />Figure 7. Gaged Discharge Time Series Used for Model <br />Calibration and Validation. <br />Model Validation <br />Figure 8 presents a flow chart of a typical model runoff <br />result validation process. This process is similar to that <br />of the calibration process with the exception of the <br />data used to perform the validation, which is <br />independent of that used as part of the calibration <br />process. <br />One can see that the calibration, validation, and overall <br />verification process is iterative in natureβ€”the model is <br />calibrated for one condition or scenario and then <br />initially verified prior to being evaluated for additional <br />conditions and scenarios and further verified. If you <br />cross your fingers and toes while holding a four-leaf <br />clover, you may only have to go through the whole <br />process once, but more likely than not, a series of <br />refinements and adjustments will be required to <br />produce a model that is fully verified across a suite of <br />conditions and scenarios. Just remember, verification <br />is valid when validation is verified! <br />But what constitutes an adequately verified model? <br />Model accuracy evaluations are performed and <br />provide a basis for satisfactory agreement between <br />observed or predicted data and modeled result data. <br /> <br />Figure 8. Hydrologic Model Validation Process. <br />Model Accuracy Evaluations <br />Model accuracy is frequently evaluated by statistical <br />comparison of measured or predicted data and <br />modeled results [5]: <br />1. Percent Bias Coefficient (𝐡𝑝), <br />𝐡𝑝(%)=100 βˆ™βˆ‘(π‘π‘–βˆ’π΅π‘– <br />𝑁𝑖 <br />)𝑛 <br />𝑖=1 <br />Where: 𝑛= number of pairs of the observed <br />and modeled variables; 𝑁𝑖= observed data; <br />and 𝐡𝑖= modeled value. The 𝐡𝑝 is expressed as <br />a percentage and describes the tendency of <br />the modeled data to be greater or smaller than <br />the observed data. The corresponding <br />accuracy classification is: <br /> <br />𝐡𝑝 ≀ ±10 Very good <br />±10 < 𝐡𝑝 ≀ ±15 Good <br />±15 < 𝐡𝑝 ≀ ±25 Satisfactory <br />𝐡𝑝 β‰₯ ±25 Unsatisfactory <br />