Distance-weighted city growth

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 87, Issue 4, 2013, Pages

  Rybski, Diego ^a   García Cantú Ros, Anselmo ^a   Kropp, Jürgen P ^a,b  

^a POTSDAM INSTITUTE FOR CLIMATE IMPACT RESEARCH   (Germany)

^b UNIVERSITY OF POTSDAM   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

FRACTALITY; LAND COVER; POWER LAW DISTRIBUTION; POWER-LAW; URBAN AGGLOMERATIONS; ZIPF'S LAW;

COMPUTATIONAL LINGUISTICS; SIZE DISTRIBUTION;

FRACTALS;

EID: 84876895309     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.87.042114     Document Type: Article

References (43)

1. F. Auerbach, Petermanns Geogr. Mitteilungen 59, 73 (1913).
2. G. K. Zipf, Human Behavior and the Principle of Least Effort: An Introduction to Human Ecology (Reprint of 1949 ed.) (Martino, Manfield Centre, CT, 2012).
3. A. Saichev, Y. Malevergne, and D. Sornette, Theory of Zipf's Law and Beyond (Springer, Berlin, 2010).
4. H. D. Rozenfeld, D. Rybski, X. Gabaix, and H. A. Makse, Am. Econ. Rev. 0002-8282 10.1257/aer.101.5.2205 101, 560 (2011).
5. B. J. L. Berry and A. Okulicz-Kozaryn, Cities 0264-2751 10.1016/j.cities.2011.11.007 29, S17 (2012).
6. M. Batty and P. Longley, Fractal Cities: A Geometry of Form and Function (Academic, San Diego/London, 1994).
7. M. Batty and P. A. Longley, Area 19, 215 (1987).
8. L. Bettencourt and G. West, Nature (London) NATUAS 0028-0836 10.1038/467912a 467, 912 (2010).
9. M. Levy and S. Solomon, Int. J. Mod. Phys. C IJMPEO 0129-1831 10.1142/S0129183196000491 7, 595 (1996).
10. X. Gabaix, Q. J. Econ. QJECAT 0033-5533 10.1162/003355399556133 114, 739 (1999).
11. O. Malcai, O. Biham, and S. Solomon, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.60.1299 60, 1299 (1999).
12. X. Gabaix, Annu. Rev. Econ. 1941-1383 10.1146/annurev.economics.050708. 142940 1, 255 (2009).
13. R. White and G. Engelen, Environ. Plan. A 0308-518X 10.1068/a251175 25, 1175 (1993).
14. H. A. Makse, H. S., and H. E. Stanley, Nature (London) NATUAS 0028-0836 10.1038/377608a0 377, 608 (1995).
15. H. A. Makse, J. S. Andrade, M. Batty, S. Havlin, and H. E. Stanley, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.58.7054 58, 7054 (1998).
16. D. H. Zanette and S. C. Manrubia, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.523 79, 523 (1997).
17. M. Marsili, S. Maslov, and Y. C. Zhang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.4830 80, 4830 (1998).
18. D. H. Zanette and S. C. Manrubia, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.4831 80, 4831 (1998).
19. F. Schweitzer and J. Steinbrink, Appl. Geogr. 0143-6228 10.1016/S0143-6228(97)00047-7 18, 69 (1998).
20. F. Schweitzer, Brownian Agents and Active Particles (Springer, Berlin, 2003), p. 295.
21. S. K. Baek, S. Bernhardsson, and P. Minnhagen, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/13/4/043004 13, 043004 (2011).
22. J. Q. Stewart, Sociometry 0038-0431 10.2307/2785468 11, 31 (1948).
23. G. A. P. Carrothers, J. Am. I. Planners 10.1080/01944365608979229 22, 94 (1956).
24. W. J. Reilly, The Law of Retail Gravitation (Reilly, New York, 1931).
25. D. L. Huff, Land Econ. LAECAD 0023-7639 10.2307/3144521 39, 81 (1963).
26. P. Pöyhönen, Weltwirtschaftliches Archiv Bd. 90, 93 (1963).
27. F. Simini, M. C. Gonzalez, A. Maritan, and A.-L. Barabási, Nature (London) NATUAS 0028-0836 10.1038/nature10856 484, 96 (2012).
28. W. R. Tobler, Econ. Geogr. ECGEAY 0013-0095 10.2307/143141 46, 234 (1970).
29. A. Bunde and S. Havlin, Fractals in Science (Springer, Berlin, 1994), p. 1.
30. H. D. Rozenfeld, D. Rybski, J. S. Andrade, Jr., M. Batty, H. E. Stanley, and H. A. Makse, Proc. Natl. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.0807435105 105, 18702 (2008).
31. V. F. Pisarenko and D. Sornette, Eur. Phys. J.-Spec. Top. 10.1140/epjst/e2012-01564-8 205, 95 (2012).
32. T. Grossman and A. Aharony, J. Phys. A JPHAC5 1361-6447 10.1088/0305-4470/20/17/011 20, L1193 (1987).
33. R. F. Voss, J. Phys. A JPHAC5 1361-6447 10.1088/0305-4470/17/7/001 17, L373 (1984).
34. G. Shen, Int. J. Geograph. Inf. Sci. IGISFR 1365-8816 10.1080/13658810210137013 16, 419 (2002).
35. B. H. Kaye and G. G. Clark, Part. Part. Syst. Charact. PPCHEZ 0934-0866 10.1002/ppsc.19850020126 2, 143 (1985).
36. A. Bunde and S. Havlin, Fractal and Disordered Systems (Springer, Berlin, 1991), p. 51.
37. M. Bossard, J. Feranec, and J. Otahel, European Environment Agency, Technical Report No. 40, 2000 (unpublished).
38. H. A. Simon, Biometrika 10.2307/2333389 42, 425 (1955).
39. A.-L. Barabási and R. Albert, Science SCIEAS 0036-8075 10.1126/science.286.5439.509 286, 509 (1999).
40. D. Rybski, S. V. Buldyrev, S. Havlin, F. Liljeros, and H. A. Makse, Proc. Natl. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.0902667106 106, 12640 (2009).
41. C. Andersson, K. Lindgren, S. Rasmussen, and R. White, Phys. Rev. E PRESCM 1539-3755 10.1103/PhysRevE.66.026204 66, 026204 (2002).
42. Y. P. Jeon and B. J. McCoy, Phys. Rev. E PRESCM 1539-3755 10.1103/PhysRevE.72.037104 72, 037104 (2005).
43. S. Ree, Phys. Rev. E PRESCM 1539-3755 10.1103/PhysRevE.73.026115 73, 026115 (2006).