Identification of Experimental and Control Areas for CCTV Effectiveness Assessment—The Issue of Spatially Aggregated Data
Abstract
1. Introduction
2. Methodological Challenges in Evaluating Effectiveness of CCTV Using the Quasi-Experimental Method
3. Description of the Method Developed
- The experimental area must have at least two cameras per 1 km of street length. This criterion is intended to exclude streets barely affected by the intervention.
- The number of crime incidents preceding the intervention (installation of a camera) should be no less than 20.
- The total number of crime incidents should not be less than 100 in the ten-year period included in the analysis.
- Crime incidents data were acquired for the period ranging from 2005 to 2014; we needed at least one year before and two years after the intervention in order to assess its impact. A two-year period was needed because the exact date of the CCTV camera installation was not known. If a camera is installed in December, the impact of this action will appear in the second year. In our study, only streets on which the first camera was installed no earlier than 2006 and no later than 2013 were taken into account.
- First, the aggregation to quarterly crime data has been chosen due to rare occurring crimes. We aggregated quarterly crime incident data for each street and subsequently standardized them by dividing them by the length of the street. Aggregating crime incidents to shorter time frames would have resulted in many streets with few crime incidents or without any, while aggregating to larger time frames would have reduced time series to such short ones that comparing experimental and control areas would have been impossible.
- Second, to find control areas with a similar crime density, i.e., similar number of crimes per 1 km of street length, we calculated the Euclidean distance for each experimental area. The Euclidean distance is a good measure for changes of proportions of land-cover types between two time series. It is calculated as:where , . Values of vectors and represent the number of crime incidents per kilometer in each consecutive quarter (i) prior to the intervention. For each pair of values , small differences are suppressed towards zero and large ones are penalized. The formula is calculated for the experimental area and every street that could become its control area. For example, having a street Q (an experimental area on which a camera has been installed in 2014) and a street P (a possible control area), we have a time series consisting of four quarters before intervention. Supposing the crime density in the experimental area (Q) equals to 10, 9, 8, 7, and the corresponding values for control areas (P) are 8, 5, 3, and 11, the Euclidean distance between the two areas equals to 7.8. The higher the Euclidean distance, the more dissimilar the crime densities are between experimental and control areas, and vice versa.Since the distribution of Euclidean distances was strongly right-skewed, we decided to declare a mean distance of seven crimes per 1 km of street length per a quarter of a year as the maximum distance of similarity. In other words, any control area that exceeds this distance is treated as completely dissimilar to its compared experimental area. The remaining distances with values ≤7 were subsequently standardized and inversed. This resulted in a similarity measure where 0 meant that two areas were fully dissimilar (the Euclidean distance was equal to 7 or more), and 1 that their time series were identical (the Euclidean distance was equal to 0). Using this procedure, the distance of 3.5 had a similarity measure of 0.5 and the distance of 6 resulted in a similarity measure of 0.14. This allowed us to select the 10 most similar control areas in terms of crime densities prior to the intervention. The streets, however, could have had similar time series due to sheer coincidence, which could have happened especially for short time series, such as one year. Therefore, experimental and control areas had to be evaluated in terms of their similarity of landscape as well.
- We evaluated the similarity of the landscape between the experimental area and its pre-selected control areas. We calculated the Euclidean distance regarding the landscape metrics, i.e.,where , . Values of vectors and represent percentages of each landscape type (i) in the experimental (r) and the corresponding control area (s). As in the case of , for each pair of values , small differences are suppressed towards zero and large ones are penalized.
4. Testing the Method in a Case Study
5. Discussion
Author Contributions
Funding
Acknowledgments
Conflicts of Interest
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Dąbrowski, A.; Matczak, P.; Wójtowicz, A.; Leitner, M. Identification of Experimental and Control Areas for CCTV Effectiveness Assessment—The Issue of Spatially Aggregated Data. ISPRS Int. J. Geo-Inf. 2018, 7, 471. https://doi.org/10.3390/ijgi7120471
Dąbrowski A, Matczak P, Wójtowicz A, Leitner M. Identification of Experimental and Control Areas for CCTV Effectiveness Assessment—The Issue of Spatially Aggregated Data. ISPRS International Journal of Geo-Information. 2018; 7(12):471. https://doi.org/10.3390/ijgi7120471
Chicago/Turabian StyleDąbrowski, Adam, Piotr Matczak, Andrzej Wójtowicz, and Michael Leitner. 2018. "Identification of Experimental and Control Areas for CCTV Effectiveness Assessment—The Issue of Spatially Aggregated Data" ISPRS International Journal of Geo-Information 7, no. 12: 471. https://doi.org/10.3390/ijgi7120471
APA StyleDąbrowski, A., Matczak, P., Wójtowicz, A., & Leitner, M. (2018). Identification of Experimental and Control Areas for CCTV Effectiveness Assessment—The Issue of Spatially Aggregated Data. ISPRS International Journal of Geo-Information, 7(12), 471. https://doi.org/10.3390/ijgi7120471

