This study was benefited from discussions with Roger Daley, Andrew Van Tuyl, Edward Barker, James Goerss, and Keith Sashegyi at NRL Monterey. The innovation data were collected by Andrew Van Tuyl. Suggestions from Robert Davies-Jones at NSSL and the anonymous reviewers improved the presentation of the results. The research work was partially supported by NRL Grant N00173-98-1-G903, by NSF Grant ATM-9983077, and by FD-SDSU Contract N66001-97-D-5028 to the University of Oklahoma.
Bartello, P., and H. L. Mitchell, 1992: A continuous three-dimensional model of short-range forecast error covariances. Tellus, 44A , 217–235.
Bergman, K. H., 1979: Multivariate analysis of temperature and winds using optimal interpolation. Mon. Wea. Rev., 107 , 1423–1444.
Berre, L., 2000: Estimation of synoptic and mesoscale forecast error covariances in a limited-area model. Mon. Wea. Rev., 128 , 644–667.
Daley, R., and E. Barker, 2000: NRL Atmospheric Variational Data Assimilation System (NAVDAS) Source Book 2000. NRL Publ. NRL/PU/7530-00-418, 153 pp.
Derber, J., and F. Bouttier, 1999: A reformulation of the background error covariance in the ECMWF global data assimilation system. Tellus, 51A , 195–221.
Gandin, L. S., 1965: Objective Analysis of Meteorological Fields (in Russian). Israel Program for Scientific Translation, 242 pp.
Hogan, T. F., and T. E. Rosmond, 1991: The description of the Navy Operational Global Atmospheric Prediction System's spectral forecast model. Mon. Wea. Rev., 119 , 1786–1815.
Hollingsworth, A., and P. Lönnberg, 1986: The statistical structure of short-range forecast errors as determined from radiosonde data. Part I: The wind field. Tellus, 38A , 111–136.
Lönnberg, P., and A. Hollingsworth, 1986: The statistical structure of short-range forecast errors as determined from radiosonde data. Part II: The covariance of height and wind errors. Tellus, 38A , 137–161.
Parrish, D. F., and J. C. Derber, 1992: The National Meteorological Center's spectral statistical-interpolation analysis system. Mon. Wea. Rev., 120 , 1747–1763.
Thiebaux, H. J., H. L. Mitchell, and D. W. Shantz, 1986: Horizontal structure of hemispheric forecast error correlations for geopotential and temperature. Mon. Wea. Rev., 114 , 1048–1066.
Xu, Q., and L. Wei, 2001: Estimation of three-dimensional error covariances. Part II: Analysis of wind innovation vectors. Mon. Wea. Rev., 129 , 2939–2954.
Xu, Q., L. Wei, A. Van Tuyl, and E. H. Barker, 2001: Estimation of three-dimensional error covariances. Part I: Analysis of height innovation vectors. Mon. Wea. Rev., 129 , 2126–2135.