872
Views
10
CrossRef citations to date
0
Altmetric
Data assimilation and predictability

A systematic method of parameterisation estimation using data assimilation

, &
Article: 29012 | Received 30 Jun 2015, Accepted 11 Jan 2016, Published online: 18 Feb 2016

References

  • Akaike H . A new look at the statistical model identification. IEEE Trans. Automat. Contr. 1974; 19(6): 716–723.
  • Anderson J. L . An ensemble adjustment Kalman filter for data assimilation. Mon. Wea. Rev. 2001; 129(12): 2884–2903.
  • Annan J. D. , Hargreaves J. C. , Edwards N. R. , Marsh R . Parameter estimation in an intermediate complexity earth system model using an ensemble Kalman filter. Ocean Model. 2005; 8(12): 135–154.
  • Bishop C. H. , Etherton B. J. , Majumdar S. J . Adaptive sampling with the ensemble transform Kalman filter. Part I: Theoretical aspects. Mon. Wea. Rev. 2001; 129(3): 420–436.
  • Burgers G. , van Leeuwen P. J. , Evensen G . Analysis scheme in the ensemble Kalman filter. Mon. Wea. Rev. 1998; 126(6): 1719–1724.
  • Evensen G . Sequential data assimilation with a nonlinear Quasi-Geostrophic model using Monte-Carlo methods to forecast error statistics. J. Geophys. Res. Oceans. 1994; 99(C5): 10143–10162.
  • Evensen G. , Dee D. P. , Schröter J . Chassignet E. P. , Verron J . Parameter estimation in dynamical models. Ocean Modeling and Parameterization. 1998; Springer, Netherlands. 373–398.
  • Evensen G. , van Leeuwen P. J . An ensemble Kalman smoother for nonlinear dynamics. Mon. Wea. Rev. 2000; 128(6): 1852–1867.
  • Friedman J. , Hastie T. , Tibshirani R . The Elements of Statistical Learning. 2001. 2nd ed. Springer, Berlin.
  • Houtekamer P. L. , Mitchell H. L . Data assimilation using an ensemble Kalman filter technique. Mon. Wea. Rev. 1998; 126(3): 796–811.
  • Houtekamer P. L. , Mitchell H. L . A sequential ensemble Kalman filter for atmospheric data assimilation. Mon. Wea. Rev. 2001; 129(1): 123–137.
  • Janjic T. , Nerger L. , Albertella A. , Schröter J. , Skachko S . On domain localization in ensemble-based Kalman filter algorithms. Mon. Wea. Rev. 2011; 139(7): 2046–2060.
  • Kondrashov D. , Sun C. , Ghil M . Data assimilation for a coupled ocean-atmosphere model. Part II: Parameter estimation. Mon. Wea. Rev. 2008; 136(12): 5062–5076.
  • Liu J. , West M . Doucet A. , de Freitas N. , Gordon N . Combined parameter and state estimation in simulation-based filtering. Sequential Monte Carlo Methods in Practice. 2001; 197–223. Statistics for Engineering and Information Science. Springer, New York.
  • Majumdar S. J. , Bishop C. H. , Etherton B. J. , Toth Z . Adaptive sampling with the ensemble transform Kalman filter. Part II: Field program implementation. Mon. Wea. Rev. 2002; 130(5): 1356–1369.
  • Santitissadeekorn N. , Jones C . Two-state filtering for joint state-parameter estimation. arXiv preprint arXiv:1403.5989. 2014
  • Schwarz G . Estimating the dimension of a model. Ann. Stat. 1978; 6(2): 461–464.
  • Smith P . Joint state and Parameter Estimation using Data Assimilation with Application to Morphodynamic Modelling. 2010; University of Reading, UK: PhD Thesis.
  • Tippett M. K. , Anderson J. L. , Bishop C. H. , Hamill T. M. , Whitaker J. S . Ensemble square root filters. Mon. Wea. Rev. 2003; 131(7): 1485–1490.
  • Williamson D. , Blaker A. T. , Hampton C. , Salter J . Identifying and removing structural biases in climate models with history matching. Clim. Dyn. 2014; 45(5–6): 1299–1324.
  • Yang X. , Delsole T . Using the ensemble Kalman filter to estimate multiplicative model parameters. Tellus A. 2009; 61(5): 601–609.