A variational successive corrections approach for the sea ice concentration analysis
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A variational successive corrections approach for the sea ice concentration analysis Xuefeng Zhang1, Lu Yang1, Hongli Fu2*, Dong Li2, Zheqi Shen3, Lianxin Zhang2, Xuhui Hu1 1 School of Marine Science and Technology, Tianjin University, Tianjin 300110, China 2 Key Laboratory of Marine Environmental Information Technology, National Marine Data and Information Service,
Ministry of Natural Resources, Tianjin 300171, China 3 Second Institute of Oceanography, Ministry of Natural Resources, Hangzhou 310012, China
Received 3 June 2019; accepted 13 January 2020 © Chinese Society for Oceanography and Springer-Verlag GmbH Germany, part of Springer Nature 2020
Abstract
The sea ice concentration observation from satellite remote sensing includes the spatial multi-scale information. However, traditional data assimilation methods cannot better extract the valuable information due to the complicated variability of the sea ice concentration in the marginal ice zone. A successive corrections analysis using variational optimization method, called spatial multi-scale recursive filter (SMRF), has been designed in this paper to extract multi-scale information resolved by sea ice observations. It is a combination of successive correction methods (SCM) and minimization algorithms, in which various observational scales, from longer to shorter wavelengths, can be extracted successively. As a variational objective analysis scheme, it gains the advantage over the conventional approaches that analyze all scales resolved by observations at one time, and also, the specification of parameters is more convenient. Results of single-observation experiment demonstrate that the SMRF scheme possesses a good ability in propagating observational signals. Further, it shows a superior performance in extracting multi-scale information in a two-dimensional sea ice concentration (SIC) experiment with the real observations from Special Sensor Microwave/Imager SIC (SSMI). Key words: variational successive corrections, spatial multi-scale recursive filter, sea ice concentration Citation: Zhang Xuefeng, Yang Lu, Fu Hongli, Li Dong, Shen Zheqi, Zhang Lianxin, Hu Xuhui. 2020. A variational successive corrections approach for the sea ice concentration analysis. Acta Oceanologica Sinica, 39(9): 140–154, doi: 10.1007/s13131-020-1654-5
1 Introduction Objective analysis, a kind of techniques for gridding observations, has developed and evolved for many decades. Historically, its main purpose is to provide initial conditions for operational prediction models and aid in the diagnostic studies in atmospheric and oceanic field. Although the use for the first purpose has all but disappeared today due to the springing-up of other more sophisticated schemes such as optimal interpolation (OI) and variational methods, objective analysis schemes are still widely used for diagnostic purposes and many studies have employed various incarnations of them to investigate a diverse range of researches. As a branch of objective analysis, successive correction menthod (SCM) represente
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