Articles | Volume 15, issue 5
https://doi.org/10.5194/acp-15-2571-2015
https://doi.org/10.5194/acp-15-2571-2015
Research article
 | 
09 Mar 2015
Research article |  | 09 Mar 2015

Theory of the norm-induced metric in atmospheric dynamics

T.-Y. Koh and F. Wan

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AR: Author's response | RR: Referee report | ED: Editor decision
AR by Tieh-Yong Koh on behalf of the Authors (30 Oct 2014)  Author's response    Manuscript
ED: Referee Nomination & Report Request started (16 Nov 2014) by Peter Haynes
RR by Roberto Buizza (16 Dec 2014)
RR by Anonymous Referee #1 (07 Jan 2015)
ED: Reconsider after minor revisions (Editor review) (26 Jan 2015) by Peter Haynes
AR by Tieh-Yong Koh on behalf of the Authors (03 Feb 2015)  Author's response    Manuscript
ED: Publish as is (21 Feb 2015) by Peter Haynes
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Short summary
A metric measures the difference between two system states. So far, there is arbitrariness in its definition in terms of wind, temperature and surface pressure of the atmosphere. The choice of definition affects many applications: e.g. predictability studies, error growth analyses and ensemble forecasts. We construct a new metric based on vector space theory and energy conservation, and apply it to analytic models and atmospheric data. We discuss its advantages over a widely used older metric.
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