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<br />I <br />I <br />I .4 <br /> a. <br /> 1- <br />I c. <br /> 1- <br />I F <br /> Fe <br />I G <br />'. g <br />B <br />I h(t) <br /> h (t) <br />I u <br />I <br />I IF <br />I ~ <br />If <br /> m <br />I. <br /> Ip <br />Ii I!, <br />I I. <br /> <- <br />I K(t) <br />I M. <br /> J <br />MG <br />I m <br />I N <br />I <br /> <br />SYMBOLS <br /> <br />Cross-sectional area. <br /> <br />Coefficients in governing differential equation of discharge- <br />computation problem. <br /> <br />Coefficient of discharge relation. <br /> <br />Matrix of coefficients in the state equation. <br /> <br />Fixed cost of network operation. <br /> <br />Matrix of coefficients in the state equation. <br /> <br />Vertical gate opening. <br /> <br />Matrix of coefficients in the measurement equation. <br /> <br />Stage or gage height at time t <br /> <br />Gage height at the CRIR upper main drain. <br /> <br />Identity matrix. <br /> <br />Information content in the forward filter estimate of annual <br />mean discharge. <br /> <br />Information content of the discharge measurements used in a <br />backward-filter estimate of annual mean discharge. <br /> <br />Information content of the discharge measurements used ,in a <br />forward-filter estimate of annual mean discharge. <br /> <br />Information content of the a priori knowledge of the statiStl,e"l <br />parameters of a Kalman filter. <br /> <br />Redundant information content of the discharge measurements used <br />in forward and backward estimates of annual mean discharge. <br /> <br />Total information content in a smoothed estimate of annual <br />mean discharge. <br /> <br />Kalman gain matrix at time t. <br /> <br />Number of discharge measurements per year at the jth streamgage. <br /> <br />Number of streamgages in the network. <br /> <br />Number of discharge measurements available to calibrate the <br />Kalman-filter model. <br /> <br />Vector of numbers of times per year that each route is used. <br />ix <br />