《Table 1.Time-averaged RMSE values of different methods.》

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《Data Assimilation Method Based on the Constraints of Confidence Region》

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First，the observation error variance is set as Rt=0.12I3，and the value of model error variance is set as Qt=σ12I3，whereσ1is a varying parameter.The results are demonstrated in Table 2.From this table，we can see that asσ1increases，the estimated precision of all the methods decreases，which is consistent with our intuition.When Qt 0.12I2，the time-averaged RMSEs of the SLS and En CR methods are quite close；and when Qt>0.12I2，the En CR method obtains the smallest time-averaged RMSE.Moreover，when the model error variance is large，i.e.the last several columns of Table 2，the time-averaged RMSE of the W-B，SLS and En CR methods are much smaller than that of the En KF method，and the En CR method maintains the smallest time-averaged RMSE value，which suggests that the estimated accuracy of the En CR method is better than that of the other methods.