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Historical path-dependence of the urban population density gradient

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Abstract

Recent research has emphasized path-dependence and the effect of vintage factors in urban development. Jerusalem and Tel Aviv are cities where the modern CBD is not in its historic location. Distance from the historic center is taken as a proxy of housing and infrastructure vintage. A polycentric urban population density function is used to assess the relative importance of distance from the CBD and from the historic center in explaining population density. Additionally, I examine econometrically the validity of a number of population density functions, and analyze the structure of the error variance and the design of appropriate measures of goodness of fit and hypothesis tests for regression models of population density. The results show that distance from the historical center is an important factor in explaining population density but its explanatory power has declined over time. It is more significant than distance from the CBD in explaining residential density in Tel Aviv and gross density in Jerusalem. It explains a larger proportion of the variance in gross density in the inner city than does distance from the CBD, but vice versa in the suburbs.

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References

  • Allen P, Sanglier M (1979) A dynamic model of a central place system. Geogr Anal 11:256–272

    Google Scholar 

  • Allen P, Sanglier M (1981) A dynamic model of a central place system-II. Geogr Anal 13:141–164

    Google Scholar 

  • Alonso W (1960) A theory of the urban land market. Pap Proc Reg Sci Assoc 6:149–158

    Google Scholar 

  • Alonso W (1964) Location and land use. Harvard Press, Cambridge

    Google Scholar 

  • Alperovich G (1982) Density gradients and the identification of the central business district. Urban Stud 19:313–320

    Google Scholar 

  • Alperovich G (1983) An empirical study of population density gradients and their determinants. J Reg Sci 23:529–540

    Google Scholar 

  • Amemiya T (1985) Advanced econometrics. Harvard University Press, Cambridge

    Google Scholar 

  • Anas A (1978) Dynamics of urban residential growth. J Urban Econ 5:66–87

    Google Scholar 

  • Anselin L (1988a) Spatial econometrics: methods and models. Kluwer, Dordrecht

    Google Scholar 

  • Anselin L (1988b) Lagrange multiplier test diagnostics for spatial dependence and spatial heterogeneity. Geogr Anal 20:1–17

    Google Scholar 

  • Anselin L, Can A (1986) Model comparison and model validation issues in empirical work on urban density functions. Geogr Anal 18:179–197

    Google Scholar 

  • Anselin L, Griffith D (1988) Do spatial effects really matter in regression analysis. Pap Reg Sci Assoc 65:11–34

    Google Scholar 

  • Batty M, Longley P, Fotheringham S (1989) Urban growth and form: Scaling, fractal geometry and diffusion limited aggregation. Environ Planning A 21:1447–1472

    Google Scholar 

  • Batty M (1991) Generating urban forms from diffusive growth. Environ Planning A 23:511–544

    Google Scholar 

  • Berry B, Simmons J, Tennant R (1963) Urban population densities: Structure and change. Geogr Rev 53:389–405

    Google Scholar 

  • Breusch T, Pagan A (1979) A simple test for heteroscedasticity and random coefficient variation. Econometrica 47:1287–1294

    Google Scholar 

  • Brueckner J (1981) Testing a vintage model of urban growth. J Reg Sci 21:23–35

    Google Scholar 

  • Brueckner J (1985) A switching regression analysis of urban population densities: preliminary results. Pap Reg Sci Assoc 56:71–87

    Google Scholar 

  • Brueckner J (1986) A switching regression analysis of urban population densities. J Urban Econ 19:174–189

    Google Scholar 

  • Buse A (1973) Goodness of fit in generalized least squares estimation. Am Statist 27(3):106–108

    Google Scholar 

  • Casetti E (1967) Urban population density gradients: An alternate explanation. Can Geogr 11:96–100

    Google Scholar 

  • Clark C (1951) Urban population densities. J R Statist Soc 114:490–496

    Google Scholar 

  • Clarke M (1986) Non-linear dynamical systems theory and locational analysis. Eur J Oper Res 25:50–67

    Google Scholar 

  • Couclelis H (1988) Of mice and men: What rodent populations can teach us about complex spatial dynamics. Environ Planning A 20:99–109

    Google Scholar 

  • Crampton GR (1991) Residential density patterns in London — Any role left for the exponential density gradient? Environ Planning A 23:1007–1024

    Google Scholar 

  • Edmonston B (1975) Population distribution in American cities. Lexington Books, Lexington

    Google Scholar 

  • Frankena M (1978) A bias in estimating urban population density functions. J Urban Econ 5:35–45

    Google Scholar 

  • Goldfeld S, Quandt R (1972) Nonlinear methods in econometrics. North Holland Publishing Company, Amsterdam

    Google Scholar 

  • Gordon P, Richardson H, Wong H (1986) The distribution of population and employment in a polycentric city: The case of Los Angeles. Environ Planning A 18:161–173

    Google Scholar 

  • Gould P (1987) A critique of dissipative structure in the human realm. Eur J Oper Res 30:211–221

    Google Scholar 

  • Greene D, Barnbrock J (1978) A note on problems in estimating exponential urban density models. J Urban Econ 5:285–290

    Google Scholar 

  • Griffith D (1981) Modelling urban population density in a multicentered city. J Urban Econ 9:298–310

    Google Scholar 

  • Haessel W (1978) Measuring goodness of fit in linear and nonlinear models. Southern Econ J 44:648–652

    Google Scholar 

  • Harrison D, Kain JF (1974) Cumulative urban growth and urban density functions. J Urban Econ 1:61–98

    Google Scholar 

  • Jerusalem Institute for Israel Research (1984) Jerusalem Statistical Yearbook No. 3, 1984. Jerusalem Institute for Israel Research, Jerusalem

    Google Scholar 

  • MacDonald J (1989) Econometric studies of urban population density: A survey. J Urban Econ 26:361–385

    Google Scholar 

  • Maddala G (1977) Econometrics. McGraw Hill, Singapore

    Google Scholar 

  • Muth R (1961) The spatial structure of the housing market. Pap Proc Reg Sci Assoc 7:207–220

    Google Scholar 

  • Muth R (1969) Cities and housing. University of Chicago Press, Chicago

    Google Scholar 

  • Nairn AGM, O'Neill GJ (1988) Population density functions: a differential equation approach. J Reg Sci 28:89–102

    Google Scholar 

  • Newling B (1969) Spatial variation of urban population densities. Geogr Rev 59:242–252

    Google Scholar 

  • Nutt B, Sears A (1972) Functional obsolescence in the planned environment. Environ Planning 4:13–29

    Google Scholar 

  • Odland J (1978) The conditions for multi-centered cities. Econ Geogr 54:234–244

    Google Scholar 

  • Palumbo G, Sacks S, Wasylenko M (1990) Population decentralization within metropolitan areas: 1970–1980. J Urban Econ 27:151–167

    Google Scholar 

  • Parr JB, O'Neill GJ, Nairn AGM (1988) Metropolitan density functions: A further exploration. Reg Sci Urban Econ 18:463–478

    Google Scholar 

  • Parr JB, O'Neill, GJ (1989) Aspects of the lognormal function in the analysis of regional population distribution. Environ Planning A 21:961–973

    Google Scholar 

  • Phipps M (1989) Dynamical behaviour of cellular automata under the constraint of neighbourhood coherence. Geogr Anal 21:197–215

    Google Scholar 

  • Pumain D, Saint Julien T, Sanders L (1986) Urban dynamics of some French cities. Eur J Oper Res 25:3–10

    Google Scholar 

  • Sacks S (1989) European cities: is population decline urban decline? Seminar presented in the Department of Geography, London School of Economics, London

    Google Scholar 

  • State of Israel, Central Bureau of Statistics (1973) Census of Population and Housing 1972. Jerusalem

  • State of Israel, Central Bureau of Statistics (1984) Census of Population and Housing 1983. Jerusalem

  • Stern DI (1990) Ethno-ideological segregation and metropolitan development. Geoforum 21:397–409

    Google Scholar 

  • Stern DI (1992) Population distribution in an ethno-ideologically divided city: The case of Jerusalem. Urban Geogr 13:164–186

    Google Scholar 

  • Straussfogel D (1991) Modeling suburbanization as an evolutionary system dynamic. Geogr Anal 23:1–24

    Google Scholar 

  • Thrall GI (1988) Statistical and theoretical issues in verifying the population density function. Urban Geogr 9:518–537

    Google Scholar 

  • White H (1980) A heteroskedasticity-consistent covariance matrix estimator and a direct test for heteroskedasticity. Econometrica 48:817–838

    Google Scholar 

  • Wilson A (1981) Catastrophe theory and bifurcation. Croom Helm, London

    Google Scholar 

  • Winsborough H (1961) A comparative study of urban populations densities. Ph D Thesis, Department of Sociology. University of Chicago, Chicago

    Google Scholar 

  • Yone H, Shechter M (1990) Physical and environmental determinants of urban deterioration and rehabilitation: A conceptual framework and a case study. Environ Planning A 22:763–777

    Google Scholar 

  • Zhang W-B (1988a) The pattern formation of an urban system. Geogr Anal 20:75–84

    Google Scholar 

  • Zhang W-B (1988b) Urbanizing processes with moving boundaries. Geogr Anal 20:328–339

    Google Scholar 

  • Zhang W-B (1989) Urban structural change in continuous time and space. Umea University Studies No 191, University of Umea, Umea, Sweden

    Google Scholar 

  • Zhang W-B (1991) Synergetic economics. Springer, Berlin Heidelberg New York

    Google Scholar 

Download references

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  1. David I. Stern

    Present address: Department of Geography, Boston University, 675 Commonwealth Avenue, 02215, Boston, MA, USA

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  1. Department of Environmental Economics and Environmental Management, University of York, Y01 1HH, Heslington, York, UK

    David I. Stern

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Stern, D.I. Historical path-dependence of the urban population density gradient. Ann Reg Sci 28, 197–222 (1994). https://doi.org/10.1007/BF01581769

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