Skewness of the Prior Through Position Errors and Its Impact on Data Assimilation - Data Assimilation for Atmospheric, Oceanic and Hydrologic Applications - page 157

b

a

Low Observational Error Moderate Observational Error

1005 1005

1000 1000

995 995

990

990

985 985

Truth
Prior Mean
Linear
Quadratic
Particle

980 980

975

975

d

c

1005 1005

1000 1000

995 995

990 990

985

985

980 980

975 975

e f

1010

1010

1005

1005

1000

1000

995 995

990 990

985

985

980

980

975 975

970 970

−10 −5 0 5 10

−10 −5 0 5 10

X X

Fig. 7.4 Estimates of the posterior mean from phase error distributions. The left column shows
results for low observation errors and the right column shows results for moderate observation
errors. The first row shows results for the true state located at the origin; the second row is for the
true state at one standard deviation; the third row is for the true state at two standard deviations