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A topological perspective on weather regimes

Abstract:
It has long been suggested that the mid-latitude atmospheric circulation possesses what has come to be known as ‘weather regimes’, loosely categorised as regions of phase space with above-average density and/or extended persistence. Their existence and behaviour has been extensively studied in meteorology and climate science, due to their potential for drastically simplifying the complex and chaotic mid-latitude dynamics. Several well-known, simple non-linear dynamical systems have been used as toy-models of the atmosphere in order to understand and exemplify such regime behaviour. Nevertheless, no agreed-upon and clear-cut definition of a ‘regime’ exists in the literature, and unambiguously detecting their existence in the atmospheric circulation is stymied by the high dimensionality of the system. We argue here for an approach which equates the existence of regimes in a dynamical system with the existence of non-trivial topological structure of the system’s attractor. We show using persistent homology, an algorithmic tool in topological data analysis, that this approach is computationally tractable, practically informative, and identifies the relevant regime structure across a range of examples.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1007/s00382-022-06395-x

Authors


More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Atmos Ocean & Planet Physics
Oxford college:
Jesus College
Role:
Author
ORCID:
0000-0001-5411-8109
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Atmos Ocean & Planet Physics
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Oxford college:
Linacre College
Role:
Author
ORCID:
0000-0003-3802-457X


Publisher:
Springer
Journal:
Climate Dynamics More from this journal
Volume:
60
Issue:
5-6
Pages:
1415-1445
Publication date:
2022-07-06
Acceptance date:
2022-06-20
DOI:
EISSN:
1432-089
ISSN:
0930-7575


Language:
English
Keywords:
Pubs id:
1171634
Local pid:
pubs:1171634
Deposit date:
2022-07-12

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