Reduced Space Optimal Estimation has been applied to the global sea surface temperature (SST) record MOHSST5 (ATLAS7) from the U.K. Meteorological Office to produce 136 years of analyzed global SST anomalies (with regards to normals of 1951-1980) , where data gaps are removed and sampling errors are diminished. The results of this analysis are available as a dataset, including an interactive viewer and downloadable data files. This analysis is described in the paper
Kaplan, A., M. Cane, Y. Kushnir, A. Clement, M. Blumenthal, and B. Rajagopalan, Analyses of global sea surface temperature 1856-1991, Journal of Geophysical Research, 103, 18,567-18,589, 1998
The method itself is described in
Kaplan, A., Y. Kushnir, M. Cane, and M. Blumenthal, Reduced space optimal analysis for historical datasets: 136 years of Atlantic sea surface temperatures, Journal of Geophysical Research, 102, 27,835--27,860, 1997.
The dataset contains results of all 5 stages of the analysis: projection, Optimal Interpolation (OI), Kalman Filter (KF) forecast, KF analysis, and Optimal Smoother (OS). Each stage gives the estimate of the field and corresponding theoretical error estimate. The projection gives the poorest results: it creates large spurious anomalies in the areas where no observations were available. The OI regularizes the solution and suppress such anomalies. The KF forecast is what Markov model (MM) of time transitions predicts a month ahead, which is a weak field with a possibly wrong structure. The KF analysis is much better: it is an improvement over the OI in that it uses MM to provide propagation of information forward in time. The Optimal Smoother (OS) provides further improvement by using MM in both directions in time. The use of OS is recommended for all practical applications .
In the process of analysis we use information on number of observations for every gridbox. Since it is not a part of MOHSST5, we took its 1x1 version from MOHSST6, averaged it on 5x5 with capping it by maximum of 60 monthly observations per 1x1 box. The resulting coverage fields are put into this dataset.
The input data (the MOHSST5 version of the GOSTA dataset) from the U.K. Meteorological Office on which the analysis was based can be viewed e.g. here .
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