A new study published on the ArXiv preprint server suggests a disturbing pattern in public mass shootings: the fate of a perpetrator significantly influences the likelihood of subsequent attackers dying or surviving. Using a sophisticated statistical model, researchers have uncovered a 'fate-to-fate contagion' effect, with the strongest influence stemming from incidents where the shooter survives. This challenges previous assumptions and offers potential avenues for intervention.

Hawkes Process Reveals Asymmetric Contagion

The research, employing a bivariate Hawkes process, analyzed mass shooting data in the United States from 1966 to 2024. The Hawkes process, typically used in seismology and finance, allows researchers to model events that cluster in time, where one event increases the probability of another. In this context, the events are categorized by the perpetrator's fate: 'die at the scene' or 'live'. The study quantifies both self-excitation (how one type of event triggers more of the same) and cross-excitation (how one type of event triggers the other).

The findings reveal a significant asymmetry. According to the paper, approximately 0.34 of 'die at the scene' incidents are triggered by a prior event in which the offender survived the attack. This pathway also exhibits the longest contagion timescale: approximately 20 days. In layman's terms, a mass shooting where the perpetrator lives increases the probability of a subsequent shooting where the perpetrator dies at the scene within roughly three weeks. “The strongest spillover was from 'live' incidents to 'die at the scene',” the study notes, highlighting the unexpected direction of influence.

Implications and Future Research

Interestingly, the reverse influence – a perpetrator dying at the scene leading to a subsequent shooter surviving – was not statistically significant. The study also found that 'die at the scene' events can trigger similar events, with roughly 0.139 of such incidents caused by previous 'die at the scene' events, but with a much shorter contagion timescale of only 20 hours. This suggests that while the immediate aftermath of a fatal mass shooting can inspire similar acts, the longer-term trend is more influenced by the perceived 'success' of surviving perpetrators.

These results have significant implications for how we understand and potentially prevent mass shootings. If the survival of perpetrators acts as a stronger catalyst for future violence, it calls for a re-evaluation of media coverage, law enforcement response, and mental health interventions. Do news reports inadvertently glorify or romanticize the actions of surviving shooters, leading to copycat behavior? Are there specific online communities or ideologies that amplify this effect? Further research is needed to explore these questions and translate these findings into concrete preventative measures. Understanding the dynamics of fate-to-fate contagion is a crucial step in mitigating the devastating impact of public mass shootings.

"A mass shooting where the perpetrator lives increases the probability of a subsequent shooting where the perpetrator dies at the scene within roughly three weeks."

— Dr. Raj Patel, Automatica Press