Gang rivalry dynamics via coupled point process networks

By Martin B. Short, George O. Mohler, P. Jeffrey Brantingham, George E. Tita. 2014

62 citations recorded by the source corpus.

We introduce a point process model for inter-gang violence driven by retaliation -- a core feature of gang behavior -- and multi-party inhibition. Here, a coupled system of state-dependent jump stochastic differential equations is used to model the conditional intensities of the directed network of gang rivalries. The system admits an exact simulation strategy based upon Poisson thinning. The model produces a wide variety of transient or stationary weighted network configurations and we investigate under what conditions each type of network forms in the continuum limit. We then fit the model to gang violence data provided by the Hollenbeck district of the Los Angeles Police Department to measure the levels of excitation and inhibition present in gang violence dynamics, as well as the stability of gang rivalries in Hollenbeck.

Subfields: Applied Mathematics, Global and Planetary Change, Molecular Biology

View Paper: https://www.semanticscholar.org/paper/da9015fa9060a02f736c8e3571cdd789e0bcee09

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Le Song
2. Nan Du
3. Hanjun Dai
4. Rakshit S. Trivedi
5. Dietmar Jannach

In Global and Planetary Change

1. Le Song
2. Hanjun Dai

In Molecular Biology

1. Manuel Gomez-Rodriguez
2. Le Song
3. Seth R. Flaxman
4. Nan Du
5. Hanjun Dai

Citations in the corpus

• Is Gun Violence Contagious? A Spatiotemporal Test (2018, background): “…have been shown to diffuse readily (Tarde, 1903; Coleman et al., 1957; Christakis and Fowler, 2007) and evidence of diffusion of violence in social networks has been recently reported (Rosenfeld et al., 1999; Papachristos, 2009; Short et al., 2014; Papachristos et al., 2016; Green et al., 2017).”
• Recurrent Marked Temporal Point Processes: Embedding Event History to Vector (2016, methodology): “In sociology, temporal-spatial point processes have been used to model networks of criminals [35].”