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郑小谷等在ADVANCES IN ATMOSPHERIC SCIENCES发表论文
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Using Analysis State to Construct a Forecast Error Covariance Matrix in Ensemble Kalman Filter Assimilation
ZHENG Xiaogu1, WU Guocan1*, ZHANG Shupeng1, LIANG Xiao2, DAI Yongjiu1, and LI Yong3
1College of Global Change and Earth System Science, Beijing Normal University, Beijing 100875; 2National Meteorological Information Center, China Meteorological Administration, Beijing 100081; 3School of Mathematical Sciences, Beijing Normal University, Beijing 100875.
ABSTRACT Correctly estimating the forecast error covariance matrix is a key step in any data assimilation scheme. If it is not correctly estimated, the assimilated states could be far from the true states. A popular method to address this problem is error covariance matrix inflation. That is, to multiply the forecast error covariance matrix by an appropriate factor. In this paper, analysis states are used to construct the forecast error covariance matrix and an adaptive estimation procedure associated with the error covariance matrix inflation technique is developed. The proposed assimilation scheme was tested on the Lorenz-96 model and 2D Shallow Water Equation model, both of which are associated with spatially correlated observational systems. The experiments showed that by introducing the proposed structure of the forecast error covariance matrix and applying its adaptive estimation procedure, the assimilation results were further improved.
KEY WORDS: data assimilation, ensemble Kalman filter, error covariance inflation, adaptive estimation, maximum likelihood estimation
PUBLISHED IN: ADVANCES IN ATMOSPHERIC SCIENCES, 2013, 30 (5): 1303-1312. DOWNLOAD PDF: http://link.springer.com/content/pdf/10.1007/s00376-012-2133-5.pdf |
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