Results with Lorenz 40 variable model
•Used by Anderson (2001), Whitaker and Hamill (2002) to validate their ensemble square root filter (EnSRF)
•A very large global ensemble Kalman Filter converges to an “optimal” analysis rms error=0.20
•This “optimal” rms error is achieved by the LEKF for a range of small ensemble members
•We performed experiments for different size models: M=40 (original), M=80 and M=120, and compared a global KF with the LEKF