Scaling laws in the dynamics of crime growth rate

Abstract

The increasing number of crimes in areas with large concentrations of people have made cities one of the main sources of violence. Understanding characteristics of how crime rate expands and its relations with the cities size goes beyond an academic question, being a central issue for contemporary society. Here, we characterize and analyze quantitative aspects of murders in the period from 1980 to 2009 in Brazilian cities. We find that the distribution of the annual, biannual and triannual logarithmic homicide growth rates exhibit the same functional form for distinct scales, that is, a scale invariant behavior. We also identify asymptotic power-law decay relations between the standard deviations of these three growth rates and the initial size. Further, we discuss similarities with complex organizations.

arXiv commentAccepted for publication in Physica A

References in corpus (6)

• Statistical physics of social dynamics
• Power Law Scaling for a System of Interacting Units with Complex Internal Structure
• The Growth of Business Firms: Theoretical Framework and Empirical Evidence
• Statistical Dynamics of Religions and Adherents
• Scaling Behaviour in the Number of Criminal Acts Committed by Individuals
• Universal patterns in sound amplitudes of songs and music genres

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