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- Title
A GENERATIVE MODEL OF OFFENDERS' SPATIAL BEHAVIOUR.
- Authors
BACHE, RICHARD; CRESTANI, FABIO
- Abstract
The relationship between distance travelled to an offence and frequency of offending has traditionally been expressed as a (downward-sloping) decay function and such a curve is typically used to fit empirical data. It is proposed here that a decay function should be viewed as a probability density function. It is then possible to construct generative models to assign probabilities to suspects from a set of known offenders whose past crimes are stored in a police data archive. Probabilities can then be used to prioritise suspects in an investigation and calculate the probability of being the culprit. Two functional forms of the decay function are considered: negative exponential and power. These are shown empirically to outperform a basic model which simply ranks suspects by distance from the crime. The model is then extended to include also preferred direction of travel which varies between offenders. If direction of travel is incorporated then predictions become more accurate. The generative decay model has two advantages over a basic model. Firstly it can incorporate other information such as past frequency of offending. Secondly, it provides an estimate of suspect likelihood indicating the trustworthiness of any inference by the model.
- Subjects
PREDICTION of criminal behavior; SPATIAL behavior; CRIMINOLOGY; SPACIAL distribution; CURVE fitting; PREDICTION models; PROBABILITY theory; CRIME suspects
- Publication
International Journal of Uncertainty, Fuzziness & Knowledge-Based Systems, 2011, Vol 19, Issue 5, p825
- ISSN
0218-4885
- Publication type
Article
- DOI
10.1142/S0218488511007258