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Missing data in aftershock sequences: explaining the deviations from scaling laws.

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Summary
This summary is machine-generated.

This study enhances the branching aftershock model to account for missing seismic data. The improved model accurately describes aftershock frequency-magnitude scaling and temporal decay, even with data gaps.

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Area of Science:

  • Seismology
  • Earthquake Science
  • Statistical Physics

Background:

  • Aftershock sequences exhibit complex temporal and magnitude-dependent behaviors.
  • Missing data at short times and small amplitudes can complicate the analysis of seismic events.
  • Existing models may not fully capture these complexities.

Purpose of the Study:

  • To extend the branching aftershock sequence model to incorporate the effects of missing data.
  • To quantitatively assess the model's ability to describe frequency-magnitude scaling and temporal decay in aftershock sequences.
  • To investigate the impact of missing data on the statistical properties of earthquake aftershocks.

Main Methods:

  • Developed an extended branching aftershock sequence model with three parameters for missing data.
  • Applied the model to analyze four aftershock sequences in California.
  • Compared model predictions with observed magnitude and temporal statistics of aftershocks.

Main Results:

  • The extended model quantitatively describes time-dependent deviations in frequency-magnitude scaling from the Gutenberg-Richter law.
  • The model also quantitatively explains magnitude-dependent deviations in the temporal decay of aftershocks from Omori's law.
  • The model successfully reproduces various functional forms of return time probability density functions and scaling violations.

Conclusions:

  • The extended branching aftershock model effectively accounts for missing data in seismic event analysis.
  • The model provides a robust framework for understanding earthquake aftershock statistics.
  • This research offers improved insights into seismic hazard assessment by addressing data limitations.