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arXiv 1306.3174physics.soc-phphysics.data-an
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与比例律的距离:揭示犯罪与城市指标之间关系的有用方法

Distance to the scaling law: a useful approach for unveiling relationships between crime and urban metrics

Luiz G. A. Alves, Haroldo V. Ribeiro, Ervin K. Lenzi, Renio S. Mendes

摘要:

我们报告的数量之间的关系的定量分析的凶杀案,人口规模和其他十个城市指标。通过使用来自巴西城市的数据,我们表明,定义良好的平均比例律与人口规模出现时,调查人口和凶杀案数量以及人口和城市指标之间的关系。我们还表明,周围的标度律的波动是对数正态分布,这使我们能够模拟这些标度律的随机方程驱动的乘法和对数正态分布的噪声。由于标度律,我们认为,它是更好地采用muslims,以描述的城市指标的功能,通过回归分析的凶杀案的数量。除了回归分析,我们提出了一种方法来关联犯罪和城市指标之间的距离的实际值的凶杀案的数量(以及城市指标的值)和预期的值与人口规模的比例法则的评估。这种方法已被证明是稳健的,并且对于揭示回归分析未正确执行的关系/行为是有用的,例如i)当凶杀案数量远高于或远低于比例律时,老年人口的非解释性潜力,ii)只有当凶杀案数量远大于幂律预期时,失业才具有解释潜力,(三)凶杀案数量的性别差异,在女性人口低于比例律的城市,凶杀案数量高于幂律。

英文摘要:

We report on a quantitative analysis of relationships between the number of homicides, population size and other ten urban metrics. By using data from Brazilian cities, we show that well defined average scaling laws with the population size emerge when investigating the relations between population and number of homicides as well as population and urban metrics. We also show that the fluctuations around the scaling laws are log-normally distributed, which enabled us to model these scaling laws by a stochastic-like equation driven by a multiplicative and log-normally distributed noise. Because of the scaling laws, we argue that it is better to employ logarithms in order to describe the number of homicides in function of the urban metrics via regression analysis. In addition to the regression analysis, we propose an approach to correlate crime and urban metrics via the evaluation of the distance between the actual value of the number of homicides (as well as the value of the urban metrics) and the value that is expected by the scaling law with the population size. This approach have proved to be robust and useful for unveiling relationships/behaviors that were not properly carried out by the regression analysis, such as i) the non-explanatory potential of the elderly population when the number of homicides is much above or much below the scaling law, ii) the fact that unemployment has explanatory potential only when the number of homicides is considerably larger than the expected by the power law, and iii) a gender difference in number of homicides, where cities with female population below the scaling law are characterized by a number of homicides above the power law.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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