Improve the estimate of the b-value in regional catalogs by means of the the b-more positive method
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866913780482441216 |
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| author | Lippiello, Eugenio Godano, Cataldo Petrillo, Giuseppe |
| author_facet | Lippiello, Eugenio Godano, Cataldo Petrillo, Giuseppe |
| contents | The b-value, which controls the slope of the frequency-magnitude distribution of earthquakes, is a critical parameter in seismic forecasting. However, accurately measuring the true b-value is challenging due to the temporal and spatial variations in the completeness of instrumental seismic catalogs. In this study, we systematically compare traditional methods for estimating the b-value with newer approaches, specifically focusing on the b-more-positive estimator based on positive magnitude difference statistics. We conduct this comparison using both synthetic ETAS catalogs, with artificially introduced incompleteness, and instrumental catalogs from five regions: Japan, Italy, Southern California, Northern California, and New Zealand. Our results from synthetic ETAS catalogs reveal that traditional estimators tend to underestimate the b-value, while the b-more-positive estimator provides a more accurate measurement. Similar patterns are observed in instrumental catalogs, suggesting that traditional methods may also underestimate the true b-value in real datasets. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_04663 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Improve the estimate of the b-value in regional catalogs by means of the the b-more positive method Lippiello, Eugenio Godano, Cataldo Petrillo, Giuseppe Geophysics Data Analysis, Statistics and Probability The b-value, which controls the slope of the frequency-magnitude distribution of earthquakes, is a critical parameter in seismic forecasting. However, accurately measuring the true b-value is challenging due to the temporal and spatial variations in the completeness of instrumental seismic catalogs. In this study, we systematically compare traditional methods for estimating the b-value with newer approaches, specifically focusing on the b-more-positive estimator based on positive magnitude difference statistics. We conduct this comparison using both synthetic ETAS catalogs, with artificially introduced incompleteness, and instrumental catalogs from five regions: Japan, Italy, Southern California, Northern California, and New Zealand. Our results from synthetic ETAS catalogs reveal that traditional estimators tend to underestimate the b-value, while the b-more-positive estimator provides a more accurate measurement. Similar patterns are observed in instrumental catalogs, suggesting that traditional methods may also underestimate the true b-value in real datasets. |
| title | Improve the estimate of the b-value in regional catalogs by means of the the b-more positive method |
| topic | Geophysics Data Analysis, Statistics and Probability |
| url | https://arxiv.org/abs/2504.04663 |