# American Institute of Mathematical Sciences

September  2012, 32(9): 3223-3244. doi: 10.3934/dcds.2012.32.3223

## Adaptation of an ecological territorial model to street gang spatial patterns in Los Angeles

 1 University of California Los Angeles, Department of Mathematics, 520 Portola Plaza Box 951555, Los Angeles, CA 90095-1555, United States, United States 2 University of California Los Angeles, Department of Anthropology, 375 Portola Plaza, 341 Haines Hall, Box 951553, Los Angeles, CA 90095-1553, United States 3 University of California Irvine, Department of Criminology, Law and Society, 2340 Social Ecology II, Irvine, CA 92697-7080, United States, United States

Received  December 2011 Revised  March 2012 Published  April 2012

Territorial behavior is often found in nature. Coyotes and wolves organize themselves around a den site and mark their territory to distinguish their claimed region. Moorcroft et al. model the formation of territories and spatial distributions of coyote packs and their markings in [31]. We modify this ecological approach to simulate spatial gang dynamics in the Hollenbeck policing division of eastern Los Angeles. We incorporate important geographical features from the region that would inhibit movement, such as rivers and freeways. From the gang and marking densities created by this method, we create a rivalry network from overlapping territories and compare the graph to both the observed network and those constructed through other methods. Data on the locations of where gang members have been observed is then used to analyze the densities created by the model.
Citation: Laura M. Smith, Andrea L. Bertozzi, P. Jeffrey Brantingham, George E. Tita, Matthew Valasik. Adaptation of an ecological territorial model to street gang spatial patterns in Los Angeles. Discrete & Continuous Dynamical Systems - A, 2012, 32 (9) : 3223-3244. doi: 10.3934/dcds.2012.32.3223
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