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Spatial dependence and the representation of space in empirical models

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Abstract

A well-formed spatial model should most likely not produce spatial autocorrelation at all. From this perspective spatial autocorrelation is not (pure) statistical nuisance but a sign of that a model lacks a representation of an important economic phenomenon. In a Knowledge Production Function (KPF) context, this paper shows that a representation of space reflecting the potential of physical interaction between localities by means of accessibility variables on the “right-hand-side”—a simple alternative to spatial lag and spatial error which can be estimated by OLS—captures substantive spatial dependence. Results are verified with Monte Carlo simulations based on Anselin’s (Int Reg Sci Rev 26(2):153–166, 2003) taxonomy of modelled and unmodelled effects. The analysis demonstrates that an accessibility representation of explanatory variables depict the network nature of spatial interaction, such that spatial dependence is actually modelled.

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References

  • Andersson M, Ejermo O (2004) Sectoral knowledge production in Swedish regions 1993–1999. In: Karlsson C, Flensburg P, Hörte S-Å (eds) Knowledge spillovers and knowlegde management. Edward Elgar, Cheltenham, pp 143–170

    Google Scholar 

  • Andersson M, Ejermo O (2005) How does accessibility to knowledge sources affect the innovativeness of corporations?—Evidence from Sweden. Ann Reg Sci 39: 741–765

    Article  Google Scholar 

  • Andersson M, Karlsson C (2007) Knowledge in regional economic growth—the role of knowledge accessibility. Ind Innov 14: 129–149

    Article  Google Scholar 

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

    Google Scholar 

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

    Article  Google Scholar 

  • Anselin L (2001) Spatial econometrics. In: Baltagi B (eds) A companion to theoretical econometrics. Blackwell, Oxford, pp 310–330

    Google Scholar 

  • Anselin L (2003) Spatial externalities, spatial multipliers and spatial econometrics. Int Reg Sci Rev 26(2): 153–166

    Article  Google Scholar 

  • Anselin L, Bera A (1998) Spatial dependence in linear regression models with an introduction to spatial econometrics. In: Ullah A, Giles DE (eds) Handbook of applied economic statistics. Marcel Dekker, New York, pp 237–289

    Google Scholar 

  • Anselin L, Florax R (eds) (1995) New directions in spatial econometrics. Springer, Berlin

    Google Scholar 

  • Anselin L, Rey S (1991) Properties of tests for spatial dependence in linear regression models. Geogr Anal 23: 112–131

    Article  Google Scholar 

  • Baradaran S, Ramjerdi F (2001) Performance of accessibility measures in europe. J Transp Stat 3: 31–48

    Google Scholar 

  • Beckman M et al (2000) Interurban knowledge networks. In: Batten D (eds) Learning, innovation and the urban evolution. Kluwer Academic Publishers, London

    Google Scholar 

  • Ben-Akiva M, Lerman S (1979) Disaggregate travel and mobility choice models and measures of accessibility. In: Henscher DA, Stopher PR (eds) Behavioral travel modelling. Croon Helm, London, pp 654–679

    Google Scholar 

  • Burridge P (1980) On the Cliff–Ord test for spatial autocorrelation. J R Stat Soc B 42: 107–108

    Google Scholar 

  • Cliff A, Ord JK (1972) Testing for spatial autocorrelation among regression residuals. Geogr Anal 4: 267–284

    Article  Google Scholar 

  • Dicken P, Lloyd P (1990) Location in space—theoretical perspectives in economic geography, 3rd edn. Harper Collins Publishers, New York

    Google Scholar 

  • Dubin R (1992) Spatial autocorrelation and neighborhood quality. Reg Sci Urban Econ 22: 433–452

    Article  Google Scholar 

  • Feldman M (1999) The new economics of innovation, spillovers and agglomeration: a review of empirical studies. Econ Innov New Technol 8: 5–25

    Article  Google Scholar 

  • Florax R, van der Vlist A (2003) Spatial Econometric data analysis: moving beyond traditional models. Int Reg Sci Rev 26: 223–243

    Article  Google Scholar 

  • Cheshire P, Carbonaro G (1995) Convergence–divergence in regional growth rates: an emty black-box?. In: Armstrong HW, Vickerman RW (eds) Convergence and divergence among European Regions. European research in regional science. Pion, Londres

    Google Scholar 

  • Gråsjö U (2005) The importance of accessibility to R&D on patent production in Swedish municipalities. In: Johansson I (ed) Uddevalla symposium 2004: regions in competition and co-operation. Papers presented at the 7th Uddevalla symposium 2004, 17–19 June, Fredrikstad, Norway. Research Reports 2005:01, University of Trollhättan/Uddevalla

  • Gråsjö U (2006) Human capital, R&D and regional exports. In: Johansson I (ed) Uddevalla symposium 2005: innovations and entrepreneurship in functional regions. Papers presented at the 8th Uddevalla symposium and the 8th McGill international entrepreneurship conference, 15–17 September, 2005, Uddevalla, Sweden, Research Reports 2006:01, University West

  • Hansen WG (1959) How accessibility shapes land-use. J Am Inst Plann 25: 73–76

    Article  Google Scholar 

  • Harris C (1954) The market as a factor in the localization of industry in the United States. Ann Assoc Am Geogr 64: 315–348

    Google Scholar 

  • Hordijk L (1974) Spatial correlation in the disturbances of a linear interregional model. Reg Urban Econ 4: 117–140

    Article  Google Scholar 

  • Hugosson P, Johansson B (2001) Business trips between functional regions. In: Hugosson P (eds) Interregional business travel and the economics of business interaction. Jönköping International Business School, Jönköping

    Google Scholar 

  • Johansson B, Klaesson J, Olsson M (2002) Time distances and labor market integration. Pap Reg Sci 81: 305–327

    Article  Google Scholar 

  • Johansson B, Klaesson J, Olsson M (2003) Commuters’ non-linear response to time distances. J Geogr Syst 5: 315–329

    Article  Google Scholar 

  • Jones SR (1981) Accessibility measures: a literature review. TRRL Report 967: Transport and Road Research Laboratory, Crowthorne

  • Karlsson C, Manduchi A (2001) Knowledge spillovers in a spatial context. In: Fischer M, Fröhlich J (eds) Knowledge complexity and innovation systems. Springer, Berlin

    Google Scholar 

  • Maddala GS (1983) Limited dependent and qualitative variables in econometrics. Cambridge University Press, Cambridge

    Google Scholar 

  • Maratello D, Nijkamp P, Reggiani A (1998) Measurement and measures of network accessibility: economic perspectives. In: Button K, Nijkamp P, Priemus H (eds) Transport networks in Europe; concepts, analysis and policies. Edward Elgar, UK, pp 161–180

    Google Scholar 

  • McMillen DP (2003) Spatial autocorrelation or model misspecification?. Int Reg Sci Rev 26: 208–217

    Article  Google Scholar 

  • Niebuhr A (2001) Convergence and the effects of spatial interaction. HWWA discussion papers, No 110

  • Pirie GH (1979) Measuring accessibility: a review and proposal. Environ Plan A 11: 299–312

    Article  Google Scholar 

  • Smith TE (1978) A cost-efficiency principle of spatial interaction behaviour. Reg Sci Urban Econ 8: 313–337

    Article  Google Scholar 

  • Tobler WR (1970) A computer movie simulating urban growth in the Detroit region. Econ Geogr 46: 234–240

    Article  Google Scholar 

  • Train K (1986) Qualitative choice analysis. MIT University Press, Massachusetts

    Google Scholar 

  • Weibull J (1976) An axiomatic approach to the measurement of accessibility. Reg Sci Urban Econ 6: 357–379

    Article  Google Scholar 

  • Weibull J (1980) On the numerical measurement of accessibility. Environ Plan A 12: 53–67

    Article  Google Scholar 

  • Wilson AG (2000) Complex spatial systems—the modelling foundations of urban and regional economics. Prentice Hall, London

    Google Scholar 

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Correspondence to Martin Andersson.

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Andersson, M., Gråsjö, U. Spatial dependence and the representation of space in empirical models. Ann Reg Sci 43, 159–180 (2009). https://doi.org/10.1007/s00168-008-0211-5

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