A New Data Assimilation Scheme: The Space-Expanded Ensemble Localization Kalman Filter

Table 1

Sensitivity to the observation interval and the observation error. The first value of each pair indicates the RMSE of SELKF, while the second one is the RMSE of EnKF.

	𝑅=0.25	𝑅=0.5	𝑅=1	𝑅=2
𝐽=5	0.384, 1.019	0.474, 0.746	0.607, 0.581	0.864, 0.737
𝐽=10	0.480, 1.087	0.584, 0.794	0.732, 0.723	0.962, 0.925
𝐽=15	0.562, 1.224	0.674, 0.867	0.834, 0.839	1.072, 1.086
𝐽=20	0.641, 1.423	0.764, 0.961	0.942, 0.946	1.202, 1.238