Integer and fractional-order entropy analysis of earthquake data series

• Type: Article in International Scientific Journal
• Date: 2016

Authors

António Mendes Lopes (Author) FEUP; Tenreiro Machado, JAT (Author) Other

Journal

Title: Nonlinear Dynamics

Vol. 84

Pages: 79-90

ISSN: 0924-090X

Publisher: Springer Nature

Indexing

ISI Web of Knowledge - 39 Citations

Scopus - 38 Citations

Other information

Authenticus ID: P-00G-CMJ

DOI: 10.1007/s11071-015-2231-x

Abstract (EN): This paper studies the statistical distributions of worldwide earthquakes from year 1963 up to year 2012. A Cartesian grid, dividing Earth into geographic regions, is considered. Entropy and the Jensen-Shannon divergence are used to analyze and compare real-world data. Hierarchical clustering and multi-dimensional scaling techniques are adopted for data visualization. Entropy-based indices have the advantage of leading to a single parameter expressing the relationships between the seismic data. Classical and generalized (fractional) entropy and Jensen-Shannon divergence are tested. The generalized measures lead to a clear identification of patterns embedded in the data and contribute to better understand earthquake distributions.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 12