Abstract
Coupled numerical models address the interaction between processes in the atmosphere, ocean, land surface, biosphere, chemistry, cryosphere, and hydrology. Including interaction between such processes can potentially extend the predictability and eventually help in reducing the uncertainty of the prediction. Coupled data assimilation is a branch of data assimilation that deals with coupled modeling systems . In this article the fundamentals of coupled data assimilation are described. Challenges of coupled data assimilation are addressed in terms of the variational and ensemble methods , with implications for hybrid data assimilation methods. Several illustrative examples of coupled data assimilation of a single observation with realistic regional coupled modeling systems are included as well.
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Arellano-Valle RB, Contreras-Reyes JE, Genton MG (2012) Shannon entropy and mutual information for multivariate skew-elliptical distributions. Scand J Statistics 40:42–62
Bannister RN (2008a) A review of forecast error covariance statistics in atmospheric variational data assimilation. I: characteristics and measurements of forecast error covariances. Q J R Meteorol Soc 134:1951–1970
Bannister RN (2008b) A review of forecast error covariance statistics in atmospheric variational data assimilation. II: modelling the forecast error covariance statistics. Q J R Meteorol Soc 134:1971–1996
Belo Pereira MB, Berre L (2006) The use of an ensemble approach to study the background error covariances in a global NWP model. Mon Weather Rev 134:2466–2489
Berre L, Desroziers G (2010) Filtering of background error variances and correlations by local spatial averaging: a review. Mon Weather Rev 138:3693–3720
Buehner M (2005) Ensemble derived stationary and flow dependent background error covariances: evaluation in a quasi-operational NWP setting. Q J R Meteorol Soc 131:1013–1043
Chin M, Rood RB, Lin S-J, Muller JF, Thompson AM (2000) Atmospheric sulfur cycle in the global model GOCART: model description and global properties. J Geophys Res 105:24671–24687
Cover TM, Thomas JA (2006) Elements of information theory. 2nd edn. John Willey & Sons, Hoboken, New Jersey, 776 pp
Derber J, Bouttier F (1999) A reformulation of the background error covariance in the ECMWF global data assimilation system. Tellus 51A:195–221
Grell GA, Peckham SE, Schmitz R, McKeen SA, Frost G, Skamarock WC, Eder B (2005) Fully coupled “online” chemistry within the WRF model. Atmos Environ 39:6957–6975
Han G, Wu X, Zhang S, Li W (2013) Error covariance estimation for Coupled Data Assimilation using a lorenz atmosphere and a simple pycnocline ocean model. J Clim 26:10218–10231
Hollingsworth A, Lonnberg P (1986) The statistical structure of short- range forecast errors as determined from radiosonde data. Part I Wind Field Tellus 38A:111–136
Lorenc A (1986) Analysis methods for numerical weather prediction. Q J R Meteorol Soc 112:1177–1194
Park SK, Lim S, Županski M (2015) Structure of forecast error covariance in coupled atmosphere–chemistry data assimilation. Geosci Model Dev 8:1315–1320
Peters-Lidard CD, Kemp EM, Matsui T, Santanello JA Jr, Kumar SV, Jacob JP, Clune T, Tao W-K, Chin M, Hou A, Case JL, Kim D, Kim K-M, Lau W, Liu Y, Shi J-J, Starr D, Tan Q, Tao Z, Zaitchik BF, Zavodsky B, Zhang SQ, Županski M (2015) Integrated modeling of aerosol, cloud, precipitation and land processes at satellite-resolved scales. Environ Model. Softw. 67:149–159
Rasmy M, Koike T, Kuria D, Mirza CR, Li X, Yang K (2012) Development of the Coupled Atmosphere and Land Data Assimilation System (CALDAS) and Its Application Over the Tibetan Plateau. IEEE Trans Geosci Rem Sen 50:4227–4242
Sakaguchi K, Zeng X, Brunke MA (2012) The hindcast skill of the CMIP ensembles for the surface air temperature trend. J Geophys Res 117:D16113. doi:10.1029/2012JD017765
Shannon CE, Weaver W (1949) The mathematical theory of communication. University of Illinois Press, 144 pp
Silva C, Quiroz A (2003) Optimization of the atmospheric pollution monitoring network at Santiago de Chile. Atmos Envir 37:2337–2345
Sugiura N, Awaji T, Masuda S, Mochizuki T, Toyoda T, Miyama T, Igarashi H, Ishikawa Y (2008) Development of a four-dimensional variational coupled data assimilation system for enhanced analysis and prediction of seasonal to interannual climate variations. J Geophys Res 113:C10017. doi:10.1029/2008JC004741
Tardif R, Hakim GJ, Snyder C (2014) Coupled atmosphere–ocean data assimilation experiments with a low-order climate model. Clim Dyn 43:1631–1643
Thepaut J-N, Courtier P, Belaud G, Lemaitre G (1996) Dynamical structure functions in a four-dimensional variational assimilation: a case study. Q J R Meteorol Soc 122:535–561
Whitaker JS, Compo GP, Thepaut J-N (2009) A comparison of variational and ensemble-based data assimilation systems for reanalysis of sparse observations. Mon Weather Rev 137:1991–1999
Zhang S, Harrison MJ, Rosati A, Wittenberg A (2007) System design and evaluation of coupled ensemble data assimilation for global oceanic climate studies. Mon Weather Rev 135:3541–3564
Županski M (2005) Maximum likelihood ensemble filter: theoretical aspects. Mon Weather Rev 133:1710–1726
Županski M, Navon IM, Županski D (2008) The maximum likelihood ensemble filter as a non-differentiable minimization algorithm. Q J R Meteorol Soc 134:1039–1050
Acknowledgements
The author gratefully acknowledges support from the NASA Modeling, Analysis, and Prediction (MAP) Program Grant NNX13AO10G, the NASA Precipitation Measurement Mission (PMM) Program Grant NNX10AG92G, and the National Science Foundation Collaboration in Mathematical Geosciences Grant 0930265. The author would also like to acknowledge the computational support of NASA Advanced Supercomputing (NAS), and extend gratitude to the computing support from Yellowstone provided by NCAR’s Computational and Information System Laboratory, sponsored by the National Science Foundation.
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Županski, M. (2017). Data Assimilation for Coupled Modeling Systems. In: Park, S., Xu, L. (eds) Data Assimilation for Atmospheric, Oceanic and Hydrologic Applications (Vol. III). Springer, Cham. https://doi.org/10.1007/978-3-319-43415-5_2
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DOI: https://doi.org/10.1007/978-3-319-43415-5_2
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