Geostrophic coupling

• Geopotential F is related to the stream function Y:

  F = 2W sin j Y = f Y
  

• Variance of geopotential:

• Error vanishes at the equator, where the geostrophic coupling ceases

• Decomposition of geopotential in a geostrophic component fY and an ageostrophic component F’: Ftotal = fY + F’

  • Error on F’ is assumed to be uncorrelated to that of Y:
  • Error variance:

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