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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MDPI AG
2015-06-01
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| Series: | Entropy |
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| Online Access: | http://www.mdpi.com/1099-4300/17/6/4155 |
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doaj-332bc4c844194362920755b4740455682020-11-24T23:37:55ZengMDPI AGEntropy1099-43002015-06-011764155417210.3390/e17064155e170641552D Anisotropic Wavelet Entropy with an Application to Earthquakes in ChileOrietta Nicolis0Jorge Mateu1Institute of Statistics, University of Valparaiso, Av. Gran Bretaña 1111 , Valparaiso, ChileInstitute of Mathematics, University Jaume I of Castellón, Campus Riu Sec, Castellon 12071, SpainWe 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.http://www.mdpi.com/1099-4300/17/6/4155anisotropyearthquake eventsentropyspatial point patternswavelets |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Orietta Nicolis Jorge Mateu |
| spellingShingle |
Orietta Nicolis Jorge Mateu 2D Anisotropic Wavelet Entropy with an Application to Earthquakes in Chile Entropy anisotropy earthquake events entropy spatial point patterns wavelets |
| author_facet |
Orietta Nicolis Jorge Mateu |
| author_sort |
Orietta Nicolis |
| title |
2D Anisotropic Wavelet Entropy with an Application to Earthquakes in Chile |
| title_short |
2D Anisotropic Wavelet Entropy with an Application to Earthquakes in Chile |
| title_full |
2D Anisotropic Wavelet Entropy with an Application to Earthquakes in Chile |
| title_fullStr |
2D Anisotropic Wavelet Entropy with an Application to Earthquakes in Chile |
| title_full_unstemmed |
2D Anisotropic Wavelet Entropy with an Application to Earthquakes in Chile |
| title_sort |
2d anisotropic wavelet entropy with an application to earthquakes in chile |
| publisher |
MDPI AG |
| series |
Entropy |
| issn |
1099-4300 |
| publishDate |
2015-06-01 |
| description |
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. |
| topic |
anisotropy earthquake events entropy spatial point patterns wavelets |
| url |
http://www.mdpi.com/1099-4300/17/6/4155 |
| work_keys_str_mv |
AT oriettanicolis 2danisotropicwaveletentropywithanapplicationtoearthquakesinchile AT jorgemateu 2danisotropicwaveletentropywithanapplicationtoearthquakesinchile |
| _version_ |
1725518340782292992 |