“…Since these are not located at a single spatial site, it is nontrivial to include them in the LETKF that assumes a single observation location. To this end, several previous studies have suggested corresponding approaches [13,24,[30][31][32][33][34][35][36]. A reasonable approximation for the spatial location of a nonlocal observation is the location of the maximum sensitivity [10,37], i.e., max n H kn of nonlocal observation k. Although this approximation has been shown to yield good results, it introduces a considerable error for broad sensitivity functions, i.e., r H is large.…”