Zx. Pu et al., USING FORECAST SENSITIVITY PATTERNS TO IMPROVE FUTURE FORECAST SKILL, Quarterly Journal of the Royal Meteorological Society, 123(540), 1997, pp. 1035-1053
A simple, relatively inexpensive technique has been developed for usin
g past forecast errors to improve the future forecast skill. The metho
d uses the forecast model and its adjoint and can be considered as a s
implified 4-dimensional variational (4-D VAR) system. One- or two-day
forecast errors are used to calculate a small perturbation (sensitivit
y perturbation) to the analyses that minimizes the forecast error. The
longer forecasts started from the corrected initial conditions, altho
ugh better than the original forecasts, are still significantly worse
than the shorter forecasts started from the latest analysis, even thou
gh they both had access to information covering the same period. As a
much less expensive alternative to 4-D VAR, the adjusted initial condi
tions from one or two days ago are used as a starting point for a seco
nd iteration of the regular NCEP analysis and forecast cycle until the
present time (t = 0) analysis is reached. Forecast experiments indica
te that the new analyses result in improvements to medium-range foreca
st skill, and suggest that the technique can be used in operations, si
nce it increases the cost of the regular analysis cycle by a maximum f
actor of about 4 to 8, depending on the length of the analysis cycle t
hat is repeated. Several possible operational configurations are also
tested. The model used in these experiments is the NCEP's operational
global spectral model with 62 waves triangular truncation and 28 sigma
-vertical levels. An adiabatic version of the adjoint was modified to
make it more consistent with the complete forecast model, including on
ly a few simple physical parametrizations (horizontal diffusion and ve
rtical mixing). This adjoint model was used to compute the gradient of
the forecast error with respect to initial conditions.