2014
DOI: 10.1371/journal.pone.0088923
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Modeling the Underlying Dynamics of the Spread of Crime

Abstract: The spread of crime is a complex, dynamic process that calls for a systems level approach. Here, we build and analyze a series of dynamical systems models of the spread of crime, imprisonment and recidivism, using only abstract transition parameters. To find the general patterns among these parameters—patterns that are independent of the underlying particulars—we compute analytic expressions for the equilibria and for the tipping points between high-crime and low-crime equilibria in these models. We use these … Show more

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Cited by 62 publications
(33 citation statements)
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“…Further research on this model include the introduction of spatial disorder, methods for police suppression to dynamically adapt to evolving crime patterns or to choose from different deployment strategies and more rigorous analysis [28,[59][60][61][62]. Other mathematical work on the spread of crime in society include dynamical systems that include competition between citizens, criminals and guards [63], the effects of socio-economic classes, changes in police efficiency and/or resources assigned to them [64], the effects of imprisonment and recidivism [65] and the possibility of communities defending themselves from criminals [66]. Viewed as a whole, this body of work may prove useful in developing better and more cost-effective crime mitigation methods and to allow for the optimization of containment and suppression resources.…”
Section: Crime Hotspotsmentioning
confidence: 99%
“…Further research on this model include the introduction of spatial disorder, methods for police suppression to dynamically adapt to evolving crime patterns or to choose from different deployment strategies and more rigorous analysis [28,[59][60][61][62]. Other mathematical work on the spread of crime in society include dynamical systems that include competition between citizens, criminals and guards [63], the effects of socio-economic classes, changes in police efficiency and/or resources assigned to them [64], the effects of imprisonment and recidivism [65] and the possibility of communities defending themselves from criminals [66]. Viewed as a whole, this body of work may prove useful in developing better and more cost-effective crime mitigation methods and to allow for the optimization of containment and suppression resources.…”
Section: Crime Hotspotsmentioning
confidence: 99%
“…David and his coauthors (D. McMillon, Simon, & Morenoff, ) derived a tipping point that separates a community's convergence to a low‐crime equilibrium from a high‐crime equilibrium in terms of several policy levers, including incarceration rates of first‐time versus repeat offenders, the rate of prisoner reentry/rehabilitation, and the rate at which people turn to criminal behavior in the first place. The systems analysis indicates that reducing deviant behavior and increasing achievement for at‐risk students in schools is the most powerful point of intervention to combat the school‐to‐prison pipeline from a holistic, systems perspective.…”
Section: A Community‐based Initiative: the Proctor Institutementioning
confidence: 99%
“…Similar to previous models (McMillon et al, 2014), we assume that crimes are generated by the interaction of criminals and noncriminals, on which criminals perform a criminal action, with rate constant α. Crimes are prevented by law enforcement at a rate proportional to the density of crimes and law enforcement with ARTICLE PALGRAVE COMMUNICATIONS | DOI: 10.1057DOI: 10.…”
Section: Modelmentioning
confidence: 99%
“…Crime has been modelled using mathematical models like ordinary differential equation models (McMillon et al, 2014), partial differential equation models (Baudains et al, 2013c;D'Orsogna and Perc, 2014) and spatial and agent-based models (Short et al, 2010;Baudains et al, 2013c;Davies et al, 2013;Perc et al, 2013). Our approach is to use differential equation models that capture the competitive dynamics between law enforcement and criminals and apply them to large-scale data on crime in cities worldwide.…”
Section: Introductionmentioning
confidence: 99%