A stochastic model for the spatial structure of annular patterns of variability and the North Atlantic Oscillation

Edwin Gerber, Geoffrey K. Vallis

Research output: Contribution to journalArticle

Abstract

Meridional dipoles of zonal wind and geopotential height are found extensively in empirical orthogonal function (EOF) analysis and single-point correlation maps of observations and models. Notable examples are the North Atlantic Oscillation and the so-called annular modes (or the Arctic Oscillation). Minimal stochastic models are developed to explain the origin of such structure. In particular, highly idealized, analytic, purely stochastic models of the barotropic, zonally averaged zonal wind and of the zonally averaged surface pressure are constructed, and it is found that the meridional dipole pattern is a natural consequence of the conservation of zonal momentum and mass by fluid motions. Extension of the one-dimensional zonal wind model to two-dimensional flow illustrates the manner in which a local meridional dipole structure may become zonally elongated in EOF analysis, producing a zonally uniform EOF even when the dynamics is not particularly zonally coherent on hemispheric length scales. The analytic system then provides a context for understanding the existence of zonally uniform patterns in models where there are no zonally coherent motions. It is also shown how zonally asymmetric dynamics can give rise to structures resembling the North Atlantic Oscillation. Both the one- and two-dimensional results are manifestations of the same principle: given a stochastic system with a simple red spectrum in which correlations between points in space (or time) decay as the separation between them increases, EOF analysis will typically produce the gravest mode allowed by the system's constraints. Thus, grave dipole patterns can be robustly expected to arise in the statistical analysis of a model or observations, regardless of the presence or otherwise of a dynamical mode.

Original languageEnglish (US)
Pages (from-to)2102-2118
Number of pages17
JournalJournal of Climate
Volume18
Issue number12
DOIs
StatePublished - Jun 15 2005

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North Atlantic Oscillation
zonal wind
Arctic Oscillation
two-dimensional flow
surface pressure
geopotential
momentum
statistical analysis
fluid
empirical orthogonal function analysis

ASJC Scopus subject areas

  • Atmospheric Science

Cite this

A stochastic model for the spatial structure of annular patterns of variability and the North Atlantic Oscillation. / Gerber, Edwin; Vallis, Geoffrey K.

In: Journal of Climate, Vol. 18, No. 12, 15.06.2005, p. 2102-2118.

Research output: Contribution to journalArticle

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