Application of the Kalman filter to the Nash model
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The Nash model was used for application of the Kalman filter. The state vector of the rainfall-runoff system was constituted by the IUH (instantaneous unit hydrograph) estimated by the Nash model and the runoff estimated by the Nash model using the Kalman filter. The initial values of the state vector was assumed as the average of 10% of the IUH peak values and the initial runoff estiamted from the average IUH. The Nash model using the Kalman filter with a recursive algorithm accurately predicted runoff from a basin in Korea. The filter allowed the IUH to vary in time, increased the accuracy of the Nash model and reduced physical uncertainty of the rainfall-runoff process in the river basin.