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August 1993 >
Estimating the Dimension of Weather and Climate Attractors: Important Issues about the Procedure and Interpretation

Estimating the Dimension of Weather and Climate Attractors: Important Issues about the Procedure and Interpretation

Authors:

A. A. Tsonis

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AffiliationsDepartment of Geosciences, University of Wisconsin-Milwaukee, Milwaukee, Wisconsin

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https://doi.org/10.1175/1520-0469(1993)050<2549:ETDOWA>2.0.CO;2

Received: 3 March 1992

Final Form: 4 November 1992

Published Online: 1 August 1993

Abstract

When the reconstruction of attractors from observables is sought, the Grassberger-Procaccia algorithm for estimating the correlation dimension is often used. An overview of recent developments concerning data requirements and algorithm performance is presented within. In view of these developments the significance of previously estimated dimensions of weather and climate attractors is discussed.