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Ocean data assimilation using optimal interpolation with a quasi-geostrophic model

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Title Ocean data assimilation using optimal interpolation with a quasi-geostrophic model
Names Rienecker, Michele M. (creator)
Miller, Robert N. (creator)
Date Issued 1991-08-15 (iso8601)
Note Copyrighted by American Geophysical Union.
Abstract Optimal interpolation (OI) has been used to produce analyses of quasi-geostrophic (QG) stream
function over a 59-day period in a 150-km-square domain off northern California. Hydrographic
observations acquired over five surveys, each of about 6 days' duration, were assimilated into a QG
open boundary ocean model. Since the true forecast error covariance function required for the OI is
unknown, assimilation experiments were conducted separately for individual surveys to investigate
the sensitivity of the OI analyses to parameters defining the decorrelation scale of an assumed error
covariance function. The analyses were intercompared through dynamical hindcasts between surveys,
since there were too few independent data for other verification of the various analyses. For the
hindcasts, the QG model was initialized with an analysis for one survey and then integrated according
to boundary data supplied by the corresponding analysis for the next survey. Two sets of such
hindcasts were conducted, since there were only three statistically independent realizations of the
stream function field for the entire observing period. For the irregular sampling strategy of the first half
of the observing period, the best hindcast was obtained using the smooth analyses produced with
assumed error decorrelation scales identical to those of the observed stream function (about 80 km):
the root mean square difference between the hindcast stream function and the final analysis was only
23% of the observation standard deviation. The best hindcast (with a 31% error) for the second half of
the observing period was obtained using an initial analysis based on an 80-km decorrelation scale and
a final analysis based on a 40-km decorrelation scale. The change in decorrelation scale was apparently
associated with a change in sampling strategy and the importance of the resolution of small-scale
vorticity input across the open boundary. The last survey used a regular sampling scheme with good
coverage (about 20-km resolution) of the entire domain so that smaller-scale features were resolved by
the data. The earlier surveys used a coarser (about 75 km) sampling resolution, and smaller-scale
features that were not well-resolved could not be inferred correctly even with short error covariance
scales. During the hindcast integrations, the dynamical model effectively filtered the stream function
fields to reduce differences between the various initial fields. Differences between the analyses near
inflow boundary points ultimately dominated the differences between dynamical hindcasts. Analyses
for the entire 59-day observing period of the five independent surveys were produced using continuous
assimilation. A modified form of OI in which the forecast error variances were updated according to
the analysis error variances and an assumed model error growth rate was also used, allowing the OI
to retain information about prior assimilation. The analyses using the updated variances were spatially
smoother and often in better agreement with the observations than the OI analyses using constant
variances. The two sets of OI analyses were temporally smoother than the fields from statistical
objective analysis (OA) and in good agreement with the only independent data available for
comparison. Unfortunately, the limiting factor in the validation of the assimilation methodology
remains the paucity of observations.
Genre Article
Identifier Rienecker, M., and R. Miller (1991), Ocean data assimilation using optimal interpolation with a quasi-geostrophic model, J. Geophys. Res., 96(C8), 15093-15103, doi:10.1029/91JC01530.

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