Departures from Gibrat's law, discontinuities and city size distributions

Urban Studies

Volumn 44, Issue 10, 2007, Pages 1997-2007

  Garmestani, Ahjond S ^a   Allen, Craig R ^a   Gallagher, Colin M ^a   Mittelstaedt, John D ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

GROWTH RATE; HYPOTHESIS TESTING; SIZE DISTRIBUTION; STATISTICAL ANALYSIS; URBAN GROWTH;

NORTH AMERICA; UNITED STATES;

EID: 34548791212     PISSN: 00420980     EISSN: 1360063X     Source Type: Journal    
DOI: 10.1080/00420980701471935     Document Type: Article

References (53)

1. Ades, A. F. and Glaeser, E. L. (1995) Trade and circuses: Explaining urban giants. Quarterly Journal of Economics, 110, pp. 195-227.
2. Allen, C. R. and Holling, C. S. (2002) Cross-scale structure and scale breaks in ecosystems and other complex systems. Ecosystems, 5, pp. 315-318.
3. Allen, C. R., Forys, E. A. and Holling, C. S. (1999) Body mass patterns predict invasions and extinctions in transforming landscapes. Ecosystems, 2, pp. 114-121.
4. Anas, A., Arnott, R. and Small, K. A. (1998) Urban spatial structure. Journal of Economic Literature, 36, pp. 1426-1464.
5. Arthur, W. B. (1988) Urban systems and historical path dependence. Cities and Their Vital Systems, Infrastructure: Past, Present and Future, pp. 85-97. National Academy Press, Washington, DC
6. Batty, M. (2001) Polynucleated urban landscapes. Urban Studies, 38, pp. 635-655.
7. Berling-Wolff, S. and Wu, J. (2004) Modeling urban landscape dynamics: A review. Ecological Research, 19, pp. 119-129.
8. Bertuglia, C. S., Leonardi, G. and Occelli, S. (1987) Historical review of approaches to urban modelling. Urban Systems: Contemporary Approaches to Modelling, pp. 8-76. Croom-Helm, London
9. Bessey, K. M. (2000) Scale, structure and dynamics in the U.S. urban systems, 1850-1990: City size in the lens of region, Harvard University, Cambridge, MA
10. Bessey, K. M. (2002) Structure and dynamics in an urban landscape: toward a multiscale view. Ecosystems, 5, pp. 360-375.
11. Chen, H. (1996) The simulation of a proposed nonlinear dynamic urban growth model. Annals of Regional Science, 30, pp. 305-319.
12. Christaller, W. (1933) Central Places in Southern Germany, Prentice Hall, Englewood Cliffs, NJ
13. Cordoba, J. (2001) Zipf's law: A case against scale economies?, Department of Economics, University of Rochester
14. Dendrinos, D. S. (1992) The Dynamics of Cities: Ecological Determinism, Dualism and Chaos, Routledge, London
15. Dendrinos, D. S. and Rosser, J. B. (1992) Fundamental issues in nonlinear urban population dynamic models: Theory and a synthesis. Annals of Regional Science, 26, pp. 135-145.
16. Dendrinos, D. S. and Sonis, M. (1990) Chaos and Socio-spatial Dynamics, Springer-Verlag, New York
17. Dobkins, L. H. and Ioannides, Y. M. (2001) Spatial interactions among U.S. cities: 1900-1990. Regional Science and Urban Economics, 31, pp. 701-731.
18. Duranton, G. and Puga, D. L. (2000) Diversity and specialization in cities: Why, where and when does it matter?. Urban Studies, 37, pp. 533-555.
19. Eeckhout, J. (2004) Gibrat's law for (all) cities. American Economic Review, 94, pp. 1429-1451.
20. Ellis, L. and Andrews, D. (2001) City sizes, housing costs, and wealth, Economic Research Department, Reserve Bank of Australia
21. Fujita, M. and Mori, T. (1997) Structural stability and evolution of urban systems. Regional Science and Urban Economics, 27, pp. 399-442.
22. Gabaix, X. (1999) Zipf's law for cities: An explanation. Quantitative Journal of Economics, 3, pp. 739-767.
23. Gabaix, X. and Ioannides, Y. M. (2004) The evolution of city size distributions. Handbook of Urban and Regional Economics, pp. 2341-2378. Elsevier, Amsterdam
24. Gao, S. and Chen, L. (2005) Dynamic complexities in a single-species discrete population model with stage structure and birth pulses. Chaos, Solitons and Fractals, 23, pp. 519-527.
25. Garmestani, A. S., Allen, C. R. and Bessey, K. M. (2005) Time-series analysis of clusters in city size distributions. Urban Studies, 42, pp. 1507-1515.
26. Gibrat, R. (1957) On economic inequalities. International Economic Papers, 7, pp. 53-70.
27. Guerin-Pace, F. (1995) Rank-size distribution and the process of urban growth. Urban Studies, 32, pp. 551-562.
28. Hadar, Y. and Pines, D. (2004) Population growth and its distribution between cities: Positive and normative aspects. Regional Science and Urban Economics, 34, pp. 125-154.
29. Haken, H. (1996) Slaving principle revisited. Physica D, 97, pp. 95-103.
30. Hall, P. and York, M. (2001) On the calibration of Silverman's test for multimodality. Statistica Sinica, 11, pp. 515-536.
31. Holling, C. S. and Allen, C. R. (2002) Adaptive inference for distinguishing credible from incredible patterns in nature. Ecosystems, 5, pp. 319-328.
32. Holmes, T. J. (1999) Scale of local production and city size. American Economic Review, 89, pp. 317-320.
33. Huang, S. (1998) Ecological energetics, hierarchy, and urban form: A system modeling approach to the evolution of urban zonation. Environment and Planning B, 25, pp. 391-410.
34. Ioannides, Y. M. (2003) Empirical nonlinearities and neighborhood effects in the intergenerational transmission of human capital. Applied Economics Letters, 10, pp. 535-539.
35. Ioannides, Y. M. and Overman, H. G. (2003) Zipf's law for cities: An empirical examination. Regional Science and Urban Economics, 33, pp. 127-137.
36. Ioannides, Y. M. and Overman, H. G. (2004) Spatial evolution of the U.S. urban system. Journal of Economic Geography, 4, pp. 1-26.
37. Lipsey, M. W. (1990) Design Sensitivity: Statistical Power for Experimental Research, Sage Publications, London
38. Malecki, E. J. (1980) Growth and change in the analysis of rank-size distributions: Empirical findings. Environment and Planning A, 12, pp. 41-52.
39. Marshall, J. U. (1989) The Structure of Urban Systems, University of Toronto Press, Toronto
40. Marshall, J. U. (1997) Beyond the rank-size rule: A new descriptive model of city sizes. Urban Geography, 18, pp. 36-55.
41. Mun, S. (1997) Transport network and system of cities. Journal of Urban Economics, 42, pp. 205-221.
42. Overman, H. G. and Ioannides, Y. M. (2001) Cross-sectional evolution of the U.S. city size distribution. Journal of Urban Economics, 49, pp. 543-566.
43. Pumain, D. and Moriconi-Ebrard, F. (1997) City size distributions and metropolisation. GeoJournal, 43, pp. 307-314.
44. Restrepo, C., Renjifo, L. M. and Marples, P. (1997) Frugivorous birds in fragmented neotropical montane forests: Landscape pattern and body mass distribution. Tropical Forest Remnants: Ecology, Management and Conservation of Fragmented Communities, pp. 171-189. University of Chicago Press, Chicago, IL
45. Rigby, D. L. and Essletzbichler, J. (2002) Agglomeration economies and productivity differences in U.S. cities. Journal of Economic Geography, 2, pp. 407-432.
46. Rosser, J. B. (1994) Dynamics of emergent urban hierarchy. Chaos, Solitons and Fractals, 4, pp. 553-561.
47. Rosser, J. B., Folke, C. and Gunther, F. (1994) Discontinuous change in multilevel hierarchical systems. Systems Research, 11, pp. 77-94.
48. Rossi-Hansberg, E. and Wright, M. L. J. (2004) Urban structure and growth, Stanford University
49. Skinner, G. W. and Henderson, M. (1999) Paper presented at the International Symposium on Geoinformatics and Socioinformatics, and Geoinformatics '99 Analyzing the urban hierarchy
50. Soo, K. T. (2002) Zipf's Law for cities: A cross country investigation, London School of Economics
51. Wheeler, C. H. (2003) Evidence on agglomeration economies, diseconomies, and growth. Journal of Applied Econometrics, 18, pp. 79-104.
52. White, R. and Engelen, G. (1993) Cellular automata and fractal urban form: A cellular modeling approach to the evolution of urban land-use patterns. Environment and Planning A, 25, pp. 175-199.
53. Zipf, G. K. (1949) Human Behaviour and the Principle of Least Effort: An Introduction to Human Ecology, Addison-Wesley, Cambridge, MA