Colored diffusion-limited aggregation for urban migration

Physica A: Statistical Mechanics and its Applications

Volumn 388, Issue 13, 2009, Pages 2689-2698

  Murcio, Roberto ^a   Rodríguez Romo, Suemi ^a  

^a UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO   (Mexico)

Author keywords

Cluster interactions; Colored diffusion limited aggregation; Migration; Stochastic processes; Urban models

Indexed keywords

ANGULAR DISTRIBUTION; DIFFUSION; NORMAL DISTRIBUTION; RANDOM PROCESSES; STOCHASTIC MODELS; STOCHASTIC SYSTEMS; URBAN GROWTH;

CLUSTER INTERACTIONS; CLUSTER MORPHOLOGY; DIFFUSION LIMITED AGGREGATION; DIFFUSION LIMITED AGGREGATION MODEL; GROWTH PROBABILITY; MIGRATION; STRONG CORRELATION; URBAN MODEL;

AGGLOMERATION;

EID: 64749101196     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2009.03.021     Document Type: Article

References (41)

1. Forrester J.F., and Forrester J.W. Urban Dynamics (1969), Pegasus Communications Inc, MA
2. Zipf G.K. Human Behavior and the Principle of Least Effort (1949), Harvard University Press, MA
3. Abler R., Adams J.S., and Gould P. Spatial Organization. The Geographer's view of the world (1971), Prentice Hall, NJ
4. Squires G.D. Urban Sprawl: Causes, Consequences, and Policy Responses (2002), Urban Institute Press, DC
5. Leitmann J. Sustaining Cities:Environmental Planning and Management in Urban Design (1999), McGraw-Hill, OH
6. Frumkin H. Urban Sprawl and Public Health. Centers for Disease Control and Prevention (2002), Jossey-Bass
7. Norman J., Heather L., MacLean L., and Kennedy C.A. J. Urban. Plann. Dev. 132 (2006) 10
8. Batty M., and Longley P. Fractal Cities (1994), Academic Press, CA
9. Makse H.A., Andrade Jr. J.S., Batty M., Havlin S., and Stanley H.E. Phys. Rev. E 58 (1998) 7054
10. Andersson C., Lindgren K., Rasmussen S., and White R. Phys. Rev. E 66 (2002) 026204
11. Witten T.A., and Sander L.M. Phys. Rev. Lett. 47 (1981) 1400
12. Meakin P. Physica D 86 (1995) 104
13. Stanley H.E., Andrade Jr. J.S., Havlinc S., Makse H.A., and Sukie B. Physica A 266 (1999)
14. Makse H.A., Havlin S., and Stanley H.E. Nature 377 (1995) 608
15. Stewart A., Batty M., and Longley P. Pap. Reg. Sci. 67 (1989) 55
16. Christaller W. Central Places in Southern Germany (1933), Prentice-Hall, NJ
17. Bourne L.S. Internal Structure of the City: Readings on Urban Form, Growth, and Policy (1982), Oxford University Press, MA
18. Kostof S. The City Shaped: Urban Patterns and Meanings through History (1993), Bulfinch, MA
19. Clark C. J. Roy. Statist. Soc. Ser. A 114 (1951) 490
20. Tchijov V., Keller J., and Rodríguez-Romo S. Rev. Mexicana Fis. 3 (1997) 348
21. Moreira A.A., Paula D.R., Costa Filho R.N., and Andrade Jr. J.S. Phys. Rev. E 73 (2006) 065101
22. Crozet M. J Econ. Geogr. 4 (2001) 439
23. Tunali I. Internat. Econom. Rev. 41 (2000) 893
24. Sjaastad L.A. J. Pol. Econ. 70 (1962) 80
25. Shin C. Ann. Reg. Sci. 28 (1994) 139
26. Ghatak S., Levine P., and Wheatley S. J. Econ. Surv. 10 (1996) 159
27. R.E. Whitmore, Graphical and mathematical investigation of the differences in traveltime factors for the gravity model, Trip Distribution Formula in Several Specific Urban Areas, Civil Engineering Department, University of Tennessee, TN, 1965
28. Shen G. J. Transp. Geog. 12 (2004) 219
29. Kaufman H., Vespignani A., Mandelbrot B.B., and Woog L. Phys. Rev. E 52 (1995) 5602
30. Fujita M., Krugman P.R., and Venables A.J. The Spatial Economy: Cities, regions and international trade' (1999), MIT press, MA
31. Meakin P. Fractals, Sacling and Growth Far from Equilibrium (1998), Cambridge University Press, MA
32. Schwarzer S., Havlin S., and Stanley H.E. Phys. Rev. E 49 (1994) 1182
33. Spivak M. Calculus. 3rd ed. (1994), Publish or Perish Press, CA
34. Workshop for estimating and interpreting probability density functions, Bank for international settlements, Monetary and Economic Department, Basel, Switzerland, 1999
35. Shapiro S.S., and Wilk M.B. Biometrika 52 (1965) 591
36. Billingsley P. Convergence of Probability Measures. 2nd ed. (1999), John Wiley & Sons, Inc, New York
37. Royston P. Ann. Statist. 44 (1995) 547
38. Clark W.A.V., and Hosking P.L. Statistical Methods for Geographers (1986), John Wiley, MA
39. Bain L., and Englehardt M. Statistical Analysis of Reliability and Life-Testing Models: Theory and Methods. 2nd ed. (1991), CRC, NY
40. Johnson N.L., Kotz S., and Balakrishnan N. Continuous Univariate Distributions Volume 1 & 2. 2nd edition (1995), John Wiley & Sons, Inc, New York
41. Fujita M., and Thisse J.-F. Economics of Agglomeration. Cities, Industrial Location, and Regional Growth (2002), Cambridge University Press, MA