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SPDSS Memorandum <br />Final <br />To: Ray Alvarado and Ray Bennett <br />From: LRE -Erin Wilson, Beorn Courtney, and Kara Sobieski <br />Subject: Methods for Filling Missing Streamflow Records (In Support of Task 2 -Identify <br />Key Streamflow Gages and Estimate Streamflows for Missing Records) <br />Date: September 20, 2004 <br />Introduction <br />Missing historical Streamflow records need to be filled on a monthly basis as outlined in Task 2. <br />One of the DSS Data Management Interfaces, Time Series Tool (TSTooI), was used under <br />RGDSS to fill monthly Streamflow data through regression with upstream, downstream, or <br />nearby gages. Another tool, the Mixed Station Model (MSM), was used under CRDSS to fill <br />monthly baseflows. MSM was originally developed by the USGS and enhanced under CRDSS. <br />MSM has not been used in previous DSS efforts to directly fill Streamflow data. <br />The purpose of this memo is to investigate the regression filling methods available with TSTooI <br />and MSM. Advantages and limitations of each tool are identified and a recommendation is made <br />for using these models to fill historical Streamflow data, as well as baseflows, and for developing <br />the average, wet, and dry patterns for filling diversions. <br />Approach <br />The regression filling methods in TSTooI and MSM require the following input data sets: <br />Dependent -data to be filled <br />Independent -data to be used as the basis for filling <br />TSTooI only allows the use of one independent data set to fill a specified missing period of a <br />dependent data set. Conversely, MSM uses multiple independent data sets to fill a given <br />dependent data set (i.e. MSM may select a different independent data set to fill each month <br />within a missing period). <br />With any filling routine, it is important to review the results graphically as well as statistically. <br />TSTooI allows the user to quickly view the results graphically, while MSM does not offer this <br />feature. TSTooI and MSM provide different statistical measurements. With TSTooI, the user <br />can compare two regressions or the "goodness of fit" through the correlation coefficient, r <br />(which can be used to calculate the coefficient of determination, r~). For a perfect fit, r = r~ = 1, <br />signifying the regression line explains 100 percent of the variability of the data. When r = r~ = 0, <br />Task2.doc 1 of 10 <br />