Keywords
Earthquakes magnitudes
Errors in Physics
Seismicity
Statistics
How to Cite
Abstract
Earthquake catalogs typically report multiple magnitude types, which makes it difficult to perform comprehensive statistical analysis. Internationally, moment magnitude is the preferred reference scale for unification. This study establishes empirical relationships between MW and two magnitudes used in Cuba: (1) amplitude-based ML and (2) coda-duration-based MC, as computed by the National Seismological Service of Cuba for earthquakes recorded from 1998–2022. We evaluated linear and nonlinear regression models, including those accounting for uncertainties in the independent variable (ML or MC). Model parameters were estimated via standard least squares, orthogonal distance least squares, and higher-order moments regression. Using the Akaike (AIC) and Schwarz (BIC) information criteria, we identified the segmented model using orthogonal distance regression (ODR) as most recommended for both MW–ML and MW–MC relationships. These results provide a robust basis for magnitude conversions in Cuban catalog homogenization and seismicity analysis.
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