Fluctuation scaling, Taylor's law, and crime

PLoS ONE

Volumn 9, Issue 10, 2014, Pages

  Hanley, Quentin S ^a   Khatun, Suniya ^a   Yosef, Amal ^a   Dyer, Rachel May ^a  

^a NOTTINGHAM TRENT UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYSIS OF VARIANCE; ANALYTIC METHOD; ANTISOCIAL BEHAVIOR; ARSON; ARTICLE; BURGLARY; CRIME; ECONOMIC ASPECT; FLUCTUATION SCALING; GEOGRAPHIC DISTRIBUTION; HUMAN; LAW; MORTALITY; NEIGHBORHOOD; POISSON DISTRIBUTION; POLICE; POLICY; REGRESSION ANALYSIS; STATISTICAL ANALYSIS; TAYLOR LAW; UNITED KINGDOM; VIOLENCE; THEORETICAL MODEL;

CRIME; HUMANS; MODELS, THEORETICAL;

EID: 84907482212     PISSN: None     EISSN: 19326203     Source Type: Journal    
DOI: 10.1371/journal.pone.0109004     Document Type: Article

References (37)

1. Maltz MD (1996) From Poisson to the present: Applying operations research to problems of crime and justice. Journal of Quantitative Criminology 12: 3-61.
2. Gomez-Lievano A., Youn H, Bettencourt L.M. (2012) The statistics of urban scaling and their connection to Zipf's law. PLoS ONE 7: e40393.
3. Alves LG, Ribeiro HV, Lenzi E.K., Mendes R.S. (2013) Distance to the scaling law: a useful approach for unveiling relationships between crime and urban metrics. PLoS ONE 8: e69580.
4. Alves LGA, Ribeiro HV, Mendes R.S. (2013) Scaling laws in the dynamics of crime growth rate. Physica A 392: 2672-2679.
5. Bettencourt LM, Lobo J, Helbing D., Kühnert C, West G.B. (2007) Growth, innovation, scaling, and the pace of life in cities. Proceedings of the National Academy of Sciences 104: 7301-7306.
6. Barnett A (1981) The deterrent effect of capital punishment: a test of some recent studies. Operations Research 29: 346-370.
7. Smith HF (1938) An empirical law describing heterogeneity in the yields of agricultural crops. The Journal of Agricultural Science 28: 1-23.
8. Taylor L (1961) Aggregation, variance and the mean. Nature 189: 732-735.
9. Perry JN (1981) Taylor's Power Law for Dependence of Variance on Mean in Animal Populations. Journal of the Royal Statistical Society Series C (Applied Statistics) 30: 254-263.
10. Cohen JE, Xu M, Brunborg H. (2013) Taylor's law applies to spatial variation in a human population. Genus 69.
11. Taylor L, Woiwod I, Perry J. (1978) The density-dependence of spatial behaviour and the rarity of randomness. The Journal of Animal Ecology: 383-406.
12. Cattadori IM, Haydon DT, Thirgood S.J., Hudson P.J. (2003) Are indirect measures of abundance a useful index of population density? The case of red grouse harvesting. Oikos 100: 439-446.
13. Keeling M, Grenfell B. (1999) Stochastic dynamics and a power law for measles variability. Philosophical Transactions of the Royal Society of London Series B: Biological Sciences 354: 769-776.
14. Rybski D, Buldyrev SV, Havlin S, Liljeros F., Makse H.A. (2009) Scaling laws of human interaction activity. Proceedings of the National Academy of Sciences 106: 12640-12645.
15. Gaffeo E, Di Guilmi C, Gallegati M, Russo A. (2012) On the mean/variance relationship of the firm size distribution: Evidence and some theory. Ecological Complexity 11: 109-117.
16. Eisler Z, Bartos I, Kertész J (2008) Fluctuation scaling in complex systems: Taylor's law and beyond 1. Advances in Physics 57: 89-142.
17. Petri G, Expert P, Jensen H.J., Polak J.W. (2013) Entangled communities and spatial synchronization lead to criticality in urban traffic. Scientific reports 3: 1-8.
18. De Menezes M.A., Barabási A-L (2004) Fluctuations in network dynamics. Physical Review Letters 92: 028701.
19. Cohen JE, Xu M, Schuster W.S. (2013) Stochastic multiplicative population growth predicts and interprets Taylor's power law of fluctuation scaling. Proceedings of the Royal Society B: Biological Sciences 280: 20122955.
20. Kendal WS, Jørgensen B (2011) Taylor's power law and fluctuation scaling explained by a central-limit-like convergence. Physical Review E 83: 066115.
21. Perry J, Taylor L. (1985) Ades: new ecological families of species-specific frequency distributions that describe repeated spatial samples with an intrinsic power-law variance-mean property. Journal of Animal Ecology 54: 931-953.
22. Kilpatrick A, Ives A. (2003) Species interactions can explain Taylor's power law for ecological time series. Nature 422: 65-68.
23. Mortara L, Fowler A. (1981) Evaluations of charge-coupled device (CCD) performance for astronomical use. Proceedings SPIE 0290, Solid State Imagers for Astronomy: 28-33.
24. Sperline RP, Knight AK, Gresham C.A., Koppenaal DW, Hieftje GM, et al. (2005) Read-noise characterization of focal plane array detectors via mean-variance analysis. Applied spectroscopy 59: 1315-1323.
25. Sawyer AJ (1989) Inconstancy of Taylor's b: Simulated sampling with different quadrat sizes and spatial distributions. Researches on Population Ecology 31: 11-24.
26. Yamamura K (1990) Sampling scale dependence of Taylor's power law. Oikos: 121-125.
27. Taylor L (1984) Assessing and interpreting the spatial distributions of insect populations. Annual review of entomology 29: 321-357.
28. Anonymous (2013) Region and Country Profiles, Population and Migration, December 2013. Office of National Statistics.
29. Anonymous (2014) Police Force Area Data Tables - Crime in England and Wales, Year Ending September 2013. Office of National Statistics.
30. Anonymous (2013/14) Derbyshire Constabulary, Neighborhoods in the Force Area Available: http://www.police.uk/derbyshire/#neighborhoods. (UK Home Office).
31. Anonymous (2013/14) Nottinghamshire Police, Neighborhoods in This Force Area Available: http://www.police.uk/nottinghamshire/#neighbourhoods. (UK Home Office).
32. Anonymous (2014) UK Crime Stats All Police Forces. Available: https://www.ukcrimestats.com/Police-Forces/. (Economic Policy Centre).
33. Anonymous (2014) Monthly Figures on Deaths Registered by Area of Usual Residence, England and Wales, December 2013. Office of National Statistics.
34. Anonymous (2014) Assessment of compliance with the Code of Practice for Official Statistics. Statistics on crime in England and Wales. Office of National Statistics Assessment Report 268.
35. Bettencourt LM, Lobo J, Strumsky D., West G.B. (2010) Urban scaling and its deviations: Revealing the structure of wealth, innovation and crime across cities. PLoS ONE 5: e13541.
36. Johnson SD, Bowers K.J. (2004) The stability of space-time clusters of burglary. British Journal of Criminology 44: 55-65.
37. Chen P, Yuan H, Li D. (2013) Space-time analysis of burglary in Beijing. Security Journal 26: 1-15.