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SUMMARY:The spectra of a general class of stochastic climate models - Klee
 man\, R (Courant Institute)
DTSTART:20100824T143000Z
DTEND:20100824T153000Z
UID:TALK25897@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:The simplest class of stochastic models relevant to geophysica
 l applications consist of a linearization of the dynamical system and the 
 addition of constant multivariate stochastic forcing. Such stochastic syst
 ems are known as finite dimensional Ornstein Uhlenbeck systems and have wi
 de application. In this talk we describe a general decomposition of the eq
 uilibrium spectrum of such processes. This is of interest in applications 
 since spectra of long time series are commonly robustly defined from obser
 vations. \n\nWe apply this formalism to the case of ENSO where it is often
  argued that there is a dominant normal mode. Here we argue that the decad
 al part of the ENSO spectrum can be simply explained by the stimulation of
  the cross spectrum of the dominant normal mode. The cross spectrum is dep
 endent on the ENSO cycle phase meaning that this mechanism implies that th
 e different ENSO phases have different spectral strengths at decadal frequ
 encies.
LOCATION:Seminar Room 1\, Newton Institute
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