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Randomness, Symmetry, and Scaling of Mesoscale Eddy Life Cycles

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Title Randomness, Symmetry, and Scaling of Mesoscale Eddy Life Cycles
Names Samelson, R. M. (creator)
Schlax, M. G. (creator)
Chelton, D. B. (creator)
Date Issued 2014-03 (iso8601)
Note This is the publisher’s final pdf. The published article is copyrighted by the American Meteorological Society and can be found at: http://journals.ametsoc.org/loi/phoc.
Abstract It is shown that the life cycles of nonlinear mesoscale eddies, a major component of low-frequency ocean
physical variability, have a characteristic structure that differs fundamentally from that which would be expected
on the basis of classical interpretations of ocean eddy evolution in terms of mean flow instability and equilibration
followed by frictional, radiative, or barotropic decay, or of vortex merger dynamics in quasigeostrophic turbulent
cascades. Further, it is found that these life cycles can be accurately modeled in terms of the large-amplitude
excursions of a stochastic process. These conclusions, which apply in the corresponding global-mean context,
follow from the examination of ensemble-mean and standard deviation time series of normalized eddy amplitude
from an automated eddy identification and tracking analysis of a nearly two decade–merged satellite altimeter
record of global sea surface height (SSH). The resulting series are found to have several striking and unexpected
characteristics, including time-reversal symmetry and approximate self-similarity. Consistent results are obtained
from a similar analysis of a 7-yr record of global SSH from a numerical ocean circulation model. The basic
qualitative and quantitative statistical properties of these series can be remarkably well reproduced with an
extremely simple stochastic model, in which the SSH increments between successive time points are random
numbers, and the eddy life cycles are represented by excursions exceeding a given threshold. The stochastic
model is found also to predict accurately the empirical autocorrelation structure of the underlying observed SSH
field itself, when the autocorrelations are computed along long planetary (Rossby) wave characteristics.
Genre Article
Topic Circulation/Dynamics
Identifier Samelson, R. M., M. G. Schlax, D. B. Chelton, 2014: Randomness, Symmetry, and Scaling of Mesoscale Eddy Life Cycles. Journal of Physical Oceanography, 44, 1012–1029. doi:10.1175/JPO-D-13-0161.1

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