Abstract The ensemble-based data assimilation method is usually used for the initialization of El Niño–Southern Oscillation (ENSO) prediction. Because of sampling errors caused by a finite ensemble, imperfect physical parameterizations, and other factors, the multiplicative covariance inflation method is commonly employed in the standard ensemble Kalman filter (EnKF) to increase the prior variance and alleviate filter divergence. Given computational resource constraints, utilizing larger ensemble sizes to minimize sampling errors in high-dimensional oceanic or atmospheric models poses a challenge. The authors propose a new hybrid adaptive covariance inflation scheme in small ensembles and apply this method to an intermediate coupled model (ICM) used at the Institute of Oceanology, Chinese Academy of Sciences (IOCAS), named the IOCAS ICM for ENSO prediction. Hybrid refers to performing both prior and posterior inflation. Results show that the hybrid t-X adaptive inflation scheme performs best within the ICM framework, which can reduce the analysis errors by 46% for the daily SST anomaly compared to the standard EnKF algorithm using the fixed multiplicative covariance inflation factor. The t-X adaptive algorithm enhances the standard EnKF’s forecasting ability by optimizing the initial forecast field and improving internal model errors. This method notably improves the prediction skill for the Niño-1 + 2 SST anomaly, particularly in phase transitions. Regarding SST anomaly prediction, the advantages of the hybrid t-X adaptive method over the standard EnKF scheme mainly occur in the equatorial eastern Pacific and south boundaries of the ICM.
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