2016
DOI: 10.1007/s10940-016-9324-7
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More Places than Crimes: Implications for Evaluating the Law of Crime Concentration at Place

Abstract: Objectives The crime and place literature lacks a standard methodology for measuring and reporting crime concentration. We suggest that crime concentration be reported with the Lorenz curve and summarized with the Gini coefficient, and we propose generalized versions of the Lorenz curve and the Gini coefficient to correct for bias when crime data are sparse (i.e., fewer crimes than places).Methods The proposed generalizations are based on the principle that the observed crime concentration should not be compar… Show more

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Cited by 103 publications
(126 citation statements)
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“…the sum of the entries of a row u of I * is often much smaller than than the number of columns n P ). In such cases, the Gini index displays a bias towards high values [7] of g * (see SI) since the denominator of Equation 4 is small and the possibility of perfect equidistribution -i.e. the same number of likes on each page -cannot be achieved.…”
Section: Attention Patterns On Pagesmentioning
confidence: 99%
“…the sum of the entries of a row u of I * is often much smaller than than the number of columns n P ). In such cases, the Gini index displays a bias towards high values [7] of g * (see SI) since the denominator of Equation 4 is small and the possibility of perfect equidistribution -i.e. the same number of likes on each page -cannot be achieved.…”
Section: Attention Patterns On Pagesmentioning
confidence: 99%
“…It is important to note that it is not the Gini coefficient computed directly from the number of crimes suffered by each member of the population [previously used to measure the concentration of crime (Tseloni and Pease 2005;Fox and Tracy 1988;Bernasco and Steenbeek 2016)], but rather it is the Gini coefficient of the rate at which individuals suffer crime. The RECC is given by…”
Section: Concentration Of Crime Metricmentioning
confidence: 99%
“…This metric, however, has some severe issues, such as the lack of agreement on the percentage that gets reported (Fox and Tracy 1988); the metric might not be comparable between different cities (Hipp and Kim 2016); it might be the result of a certain degree of randomness (Levin et al 2016) and it does not work as an adequate metric when the data is extremely sparse. Consider, for example, the number of street segments of The Hague and the number of sexual offences registered by the police between 2007 and 2009 in that city (Bernasco and Steenbeek 2016). The extremely low frequency of this type of crime (only 430 cases) distributed over the large number of street segments (14,375 segments) means that taking the top 5% of streets is not even properly defined since, at most, 3% of the segments concentrate all the crimes.…”
Section: Introductionmentioning
confidence: 99%
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