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Which quantity does a singular vector calculation identify?

  • A.The normal mode of the flow with the greatest exponential growth rate over an indefinitely long period
  • B.The mean forecast error
  • C.The pattern of initial error that the observing network is least able to detect at the analysis time
  • D.The perturbation with the largest growth over a chosen interval

Answer: D

Singular vectors are the initial perturbations that amplify most over a finite time, which differs from the fastest growing normal mode because the atmosphere is not in a steady state. Transient non-modal growth can substantially exceed modal growth over a few days. This distinction between finite time and asymptotic growth is central to modern predictability theory. A single measurement chosen to respond to the one asymmetry beats several that respond to shared behaviour.

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