2D anisotropic wavelet entropy with an application to earthquakes in Chile

Orietta Nicolis; Jorge Mateu

doi:10.3390/e17064155

2D anisotropic wavelet entropy with an application to earthquakes in Chile

Orietta Nicolis, Jorge Mateu

Engineering School

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	4155-4172
Number of pages	18
Journal	Entropy
Volume	17
Issue number	6
DOIs	https://doi.org/10.3390/e17064155
Publication status	Published - 1 Jan 2015

Keywords

Anisotropy
Earthquake events
Entropy
Spatial point patterns
Wavelets

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.3390/e17064155

Cite this

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abstract = "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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AB - 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.

KW - Anisotropy

KW - Earthquake events

KW - Entropy

KW - Spatial point patterns

KW - Wavelets

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2D anisotropic wavelet entropy with an application to earthquakes in Chile

Abstract

Keywords

ASJC Scopus subject areas

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