Implications of an inverse branching aftershock sequence model

Area of Science:

• Geophysics and seismology
• Statistical modeling
• Complex systems

Background:

• Earthquake aftershocks follow complex temporal and magnitude patterns.
• The branching aftershock sequence (BASS) model offers a statistical framework for understanding these sequences.
• The model's behavior is governed by key parameters, notably the magnitude difference between parent and daughter events.

Purpose of the Study:

• To investigate the behavior of the BASS model across a range of the magnitude difference parameter (Deltam*).
• To explore scenarios where aftershock sequences exhibit exponential growth, deviating from typical decay.
• To discuss the broader applicability of self-similar branching processes beyond seismology.

Main Methods:

• Analysis of the BASS model's statistical properties.
• Simulation and theoretical exploration of the model's dynamics.
• Examination of the impact of varying the Deltam* parameter, including negative values.

Main Results:

• The BASS model can exhibit exponential growth in event numbers with time when Deltam* is negative.
• The model's behavior is sensitive to the magnitude difference parameter, influencing sequence decay or growth.
• Self-similar branching processes show potential for modeling phenomena in diverse fields.

Conclusions:

• The BASS model provides a flexible framework for understanding earthquake aftershock sequences.
• Variations in the parent-daughter magnitude difference can lead to distinct aftershock behaviors.
• The principles of self-similar branching have wide-ranging implications for scientific modeling.