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

Orietta Nicolis, Jorge Mateu

Research output: Contribution to journalArticlepeer-review

7 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 languageEnglish
Pages (from-to)4155-4172
Number of pages18
JournalEntropy
Volume17
Issue number6
DOIs
Publication statusPublished - 1 Jan 2015

Keywords

  • Anisotropy
  • Earthquake events
  • Entropy
  • Spatial point patterns
  • Wavelets

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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