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Reducing the Dynamic State Index to its main information using Principal Component Analysis

2022/03/06 by Annette Müller, Müller, Annette, Nikolai Spaeth +44
Earth and Planetary Sciences · Economics, Econometrics and Finance · Environmental Science · Physics and Astronomy · #Climate variability and models #Complex Systems and Time Series Analysis #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Meteorological Phenomena and Simulations #physics.flu-dyn

paper · pdf · doi:10.48550/arxiv.2203.02984

arxiv created 2022/03/06 · openalex publication_date 2022/03/06 · arxiv updated 2022/03/08 · openalex created_date 2022/04/03 · openalex updated_date 2026/07/28

Abstract

The Dynamic State Index is a scalar quantity designed to identify atmospheric developments such as fronts, hurricanes or specific weather pattern. The DSI is defined as Jacobian-determinant of three constitutive quantities that characterize three-dimensional fluid flows: the Bernoulli stream function, the potential vorticity (PV) and the potential temperature. Here, we tackle the questions (i) if the mathematical formulation of the DSI can be reduced, while keeping the main information, and (ii) does the reduction of the DSI depend on the spatial scale? Applying principle component analysis we find that three of six DSI terms that sum up to the Jacobi-determinant are sufficient for future DSI calculations.

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