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

@inproceedings{Muller2022ReducingTD, title={Reducing the Dynamic State Index to its main information using Principal Component Analysis}, author={Annette Muller and Nikolai Spaeth and Johanna Bollow and Iris Eder and Alina Fischer and Jana Frenzel and Annika Gornt and Kunyan Hao and Johanne Ilchmann and Isabel Kasner and Corinna Langwald and Steffen Laube and Flavio Maggioni and Beatrice Neiszt-Pllana and Daniel A. Redant and Lisa Rogge and Susan Sama and David Scheer and Inga Spreen and Patrick W. Varchmin and Vanessa R. Zabel and Wei Zhang and Anika Zibell}, year={2022} }

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…

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