Localizing the Error Covariance by Physical Distances within a Local Ensemble Transform Kalman Filter (LETKF)

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Localization and Sampling Error Correction in Ensemble Kalman Filter Data Assimilation (2012, methodology): “Some ensemble filters like the local ensemble transform Kalman filter (Ott et al. 2004) implicitly localize by implementing the assimilation algorithm on local patches although they can be modified to have more general localization (Miyoshi et al. 2007).”
Estimating Model Parameters with Ensemble-Based Data Assimilation: A Review (2013, methodology): “The implementation is similar to that presented in Miyoshi et al. 2007.”
The Gaussian Approach to Adaptive Covariance Inflation and Its Implementation with the Local Ensemble Transform Kalman Filter (2011, background): “Here, the subsets of observations are overlapping, but the subsets of the state vector are not necessarily overlapping, which is an advantage of the LETKF over the local ensemble Kalman filter (LEKF; Ott et al. 2004; Miyoshi et al. 2007).”