Comparison of Traditional and Hybrid Forms of Optimal Localisation for Mitigation of Sampling Error in Ensemble Kalman Filters
References
- Bannister, RN. 2008. 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. DOI: 10.1002/qj.339
- Casella, G and Berger, RL. 2002. Statistical Inference. Boston: Cengage Learning.
- Clayton, AM, Lorenc, AC and Barker, DM. 2013. Operational implementation of a hybrid ensemble/4D-Var global data assimilation system at the Met Office. Q.J.R. Meteorol. Soc., 139: 1445–1461. DOI: 10.1002/qj.2054
- Flowerdew, J. 2015. Towards a theory of optimal localisation. Tellus A: Dynamic Meteorology and Oceanography, 67: 1. DOI: 10.3402/tellusa.v67.25257
- Gaspari, G and Cohn, SE. 1999. Construction of correlation functions in two and three dimensions. Q.J.R. Meteorol. Soc., 125: 723–757. DOI: 10.1002/qj.49712555417
- Houtekamer, PL and Mitchell, HL. 1998. Data Assimilation Using an Ensemble Kalman Filter Technique. Mon. Wea. Rev., 126: 796–811. DOI: 10.1175/1520-0493(1998)126>;0796:DAUAEK<2.0.CO;2
- Houtekamer, PL and Mitchell, HL. 2001. A Sequential Ensemble Kalman Filter for Atmospheric Data Assimilation. Mon. Wea. Rev., 129: 123–137. DOI: 10.1175/1520-0493(2001)129>;0123:ASEKFF<2.0.CO;2
- Lorenc, AC. 1981. A Global Three-Dimensional Multivariate Statistical Interpolation Scheme. Mon. Wea. Rev., 109: 701–721. DOI: 10.1175/1520-0493(1981)109>;0701:AGTDMS<2.0.CO;2
- Lorenc, AC. 2003. The potential of the ensemble Kalman filter for NWP—a comparison with 4D-Var. Q.J.R. Meteorol. Soc., 129: 3183–3203. DOI: 10.1256/qj.02.132
- Ménétrier, B, Montmerle, T, Michel, Y and Berre, L. 2015a. Linear Filtering of Sample Covariances for Ensemble-Based Data Assimilation. Part I: Optimality Criteria and Application to Variance Filtering and Covariance Localization. Mon. Wea. Rev., 143: 1622–1643. DOI: 10.1175/MWR-D-14-00157.1
- Ménétrier, B, Montmerle, T, Michel, Y and Berre, L. 2015b. Linear Filtering of Sample Covariances for Ensemble-Based Data Assimilation. Part II: Application to a Convective-Scale NWP Model. Mon. Wea. Rev., 143(5): 1644–1664. DOI: 10.1175/MWR-D-14-00156.1
- Perianez, A, Reich, H and Potthast, R. 2014. Optimal localization for ensemble Kalman filter systems. J. Meteor. Soc. Japan, 92: 585–597. DOI: 10.2151/jmsj.2014-605
- Raynaud, L, Berre, L and Desroziers, G. 2009. Objective filtering of ensemble-based background-error variances. Q.J.R. Meteorol. Soc., 135: 1177–1199. DOI: 10.1002/qj.438
- Roh, S, Jun, M, Szunyogh, I and Genton, M. 2015. Multivariate localization methods for ensemble Kalman filtering. Nonlinear Processes in Geophysics, 22. DOI: 10.5194/npg-22-723-2015
- Whitaker, JS and Hamill, TM. 2002. Ensemble Data Assimilation without Perturbed Observations. Mon. Wea. Rev., 130: 1913–1924. DOI: 10.1175/1520-0493(2002)130>;1913:EDAWPO<2.0.CO;2
DOI: https://doi.org/10.16993/tellusa.35 | Journal eISSN: 3035-9554
Language: English
Page range: 57 - 73
Submitted on: Feb 17, 2022
Accepted on: Mar 19, 2024
Published on: Apr 29, 2024
Published by: Stockholm University Press
In partnership with: Paradigm Publishing Services
Keywords:
© 2024 Rebecca Susanne Atkinson, Jonathan Flowerdew, Sue Hughes, Ian Roulstone, published by Stockholm University Press
This work is licensed under the Creative Commons Attribution 4.0 License.