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 |
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Pages (from-to) | 4155-4172 |
Number of pages | 18 |
Journal | Entropy |
Volume | 17 |
Issue number | 6 |
DOIs | |
Publication status | Published - 1 Jan 2015 |
Keywords
- Anisotropy
- Earthquake events
- Entropy
- Spatial point patterns
- Wavelets
ASJC Scopus subject areas
- Physics and Astronomy(all)