R port of morie.tps_statphysics. Implements the four canonical
methods reviewed by D'Orsogna & Perc (2015), Statistical
physics of crime: A review, Physics of Life Reviews 12: 1-21
(arXiv:1411.1743), together with two illustrative companions
(canonical Turing-pattern demo and Helbing-Szolnoki inspection-game
phase diagram) and a premise x neighbourhood co-occurrence network.
Details
Each callable consumes one TPS category and returns a multi-section
morie_rich_result. Cosine-corrected projection and DBSCAN
delegation are deferred to companion modules (tps_render,
tps_spatial_advanced); when those collaborators are not
available the routines fall back to a stop-stub explaining the gap.
Functions
morie_tps_sdb_reaction_diffusion— Short, D'Orsogna and Brantingham (2008) hot-spot PDE, data-seeded.morie_tps_levy_flight_alpha— Hill-MLE Levy-flight tail exponent following Brockmann, Hufnagel and Geisel (2006).morie_tps_urban_scaling_beta— Bettencourt et al. (2007) urban-scaling beta across the 158 Toronto wards.morie_tps_lotka_volterra_police_crime— Lotka- Volterra predator-prey on yearly counts.morie_tps_sdb_turing_demo— canonical Turing- instability demo on a periodic lattice.morie_tps_inspection_game_phase— three- strategy replicator phase diagram (Helbing, Szolnoki & Perc 2010).morie_tps_criminal_network_graph— premise x neighbourhood co-occurrence network (Diviak et al. 2019-style projection from public TPS data).
References
D'Orsogna MR, Perc M (2015). Statistical physics of crime: A review. Physics of Life Reviews 12: 1-21.
Short MB, D'Orsogna MR, Pasour VB, Tita GE, Brantingham PJ, Bertozzi AL, Chayes LB (2008). A statistical model of criminal behavior. Mathematical Models and Methods in Applied Sciences 18(supp01): 1249-1267.
Brockmann D, Hufnagel L, Geisel T (2006). The scaling laws of human travel. Nature 439: 462-465.
Bettencourt LMA, Lobo J, Helbing D, Kuhnert C, West GB (2007). Growth, innovation, scaling, and the pace of life in cities. Proceedings of the National Academy of Sciences 104: 7301-7306.
Helbing D, Szolnoki A, Perc M, Szabo G (2010). Punish, but not too hard: how costly punishment spreads in the spatial public goods game. New Journal of Physics 12: 083005.
Diviak T, Dijkstra JK, Snijders TAB (2019). Structure, multiplexity, and centrality in a corruption network. Trends in Organized Crime 22: 274-297.