2D Anisotropic Wavelet Entropy with an Application to Earthquakes in Chile

We propose a wavelet-based approach to measure the Shannon entropy in the context of spatial point patterns. The method uses the fully anisotropic Morlet wavelet to estimate the energy distribution at different directions and scales. The spatial heterogeneity and complexity of spatial point patterns...

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Bibliographic Details
Published inEntropy (Basel, Switzerland) Vol. 17; no. 6; pp. 4155 - 4172
Main Authors Nicolis, Orietta, Mateu, Jorge
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.06.2015
Subjects
Anisotropy
earthquake events
Earthquakes
Effectiveness
Entropy
Heterogeneity
Morlet wavelet
Simulation
spatial point patterns
Wavelet
wavelets
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Summary:We propose a wavelet-based approach to measure the Shannon entropy in the context of spatial point patterns. The method uses the fully anisotropic Morlet wavelet to estimate the energy distribution at different directions and scales. The spatial heterogeneity and complexity of spatial point patterns is then analyzed using the multiscale anisotropic wavelet entropy. The efficacy of the approach is shown through a simulation study. Finally, an application to the catalog of earthquake events in Chile is considered.
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ISSN:1099-4300
1099-4300
DOI:10.3390/e17064155