Slide 1
If we assume a perfect model, we can grossly underestimate the errors
We compare several methods to handle model errors
Slide 4
Slide 5
"1a."
1a. Covariance inflation (multiplicative)

2. Dee and daSilva bias estimation scheme (1998)
Slide 8
Slide 9
Slide 10
Diurnal model errors
Generate the leading EoFs from the forecast error anomalies fields for temperature.

Slide 12
Slide 13
Correct state-dependent model errors
Impact of model error, and different approaches to handle it
Simultaneous estimation of inflation and observation errors
Hong  Li
Eugenia Kalnay

Motivation
MK method to estimate the inflation parameter (Miyoshi 2005, Miyoshi&Kalnay 2005)
Assumption:  R is known

Diagnosis of observation error statistics
(Desroziers et al, 2006, Navascues et al, 2006)
Simultaneous estimation of inflation and observation errors
Tests within LETKF with Lorenz-96 model
Slide 22
Slide 23
Slide 24
online estimated observational errors
Slide 26
Slide 27
Summary
A few more slides
Junjie Liu: Adaptive observations
Junjie Liu: Estimation of the impact of observations
Shu-Chih Yang: Comparison of EnKF, simple hybrid (3D-Var + Bred Vectors) and 4D-Var
Shu-Chih Yang: 4D-Var and initial and final SVs, EnKF and initial and final BVs
No cost smoother for reanalysis

Adaptive sampling with the LETKF-based ensemble spread
Junjie Liu
Purpose
Sample 10% adaptive DWL wind observations to get 90% improvement of full coverage
Compare ensemble spread method with other sampling strategies
How the results are sensitive to the data assimilation schemes (3D-Var and LETKF)
Note
same adaptive observations from ensemble spread method are assimilated by both 3D-Var and LETKF

500hPa zonal wind RMS error
Slide 32
Analysis sensitivity study within LETKF
Slide 34
Comparison of ensemble-based and variational-based data assimilation schemes in a Quasi-Geostrophic model.
Shu-Chih Yang et al.
Analysis increment (color shaded)
vs. dynamically fast growing errors (contours)
Slide 37
No-cost LETKF smoother
LETKF minimizes the errors of the day and thus provides an excellent first guess to the 3D-Var analysis