Multivariate analysis

Author:        Pierre Gauthier

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  • Multivariate analysis
  • Geostrophic coupling
  • Wind analysis with a purely rotational wind increment
  • Diapositive PPT
  • Remarks
  • Relationship between covariances of the stream function and those of u and v
  • Diapositive PPT
  • Diapositive PPT
  • Generalization to include the velocity potential c
  • Characteristic length of a correlation function
  • Wind error variances
  • Partitioning the variance in its rotationnal and divergent components
  • Mass (geopotential) and wind wind error covariances
  • A multivariate covariance model
  • Analysis increments and background-error covariances
  • Analysis increment obtained in response to a single observation of the zonal wind component
  • Estimation and definition of background-error statistics
  • Geopotential and wind increments obtained in response to a single observation of zonal wind located at the surface in the Northern extratropics (60N-30W) (Gauthier et al., 1998)
  • Analysis component of the Kalman filter
  • Operations involved in one iteration of 4D-Var
  • 4D-Var

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