Spatial externalities and growth in a Mankiw-Romer-Weil world: Theory and evidence

Fischer, Manfred M. (2016): Spatial externalities and growth in a Mankiw-Romer-Weil world: Theory and evidence. Published in: International Regional Science Review (February 2016)

Abstract

This paper presents a theoretical growth model that accounts for technological interdependence among regions in a Mankiw-Romer-Weil world. The reasoning behind the theoretical work is that technological ideas cannot be fully appropriated by investors and these ideas may diffuse and increase the productivity of other firms. We link the diffusion of ideas to spatial proximity and allow for ideas to flow to nearby regional economies. Through the magic of solving for the reduced form of the theoretical model and the magic of spatial autoregressive processes, the simple dependence on a small number of neighbouring regions leads to a reduced form theoretical model and an associated empirical model where changes in a single region can potentially impact all other regions. This implies that conventional regression interpretations of the parameter estimates would be wrong. The proper way to interpret the model has to rely on matrices of partial derivatives of the dependent variable with respect to changes in the Mankiw-Romer-Weil variables, using scalar summary measures for reporting the estimates of the marginal impacts from the model. The summary impact measure estimates indicate that technological interdependence among European regions works through physical rather than human capital externalities.

• Item Type: MPRA Paper
• Language: English
• Keywords: Spatial economics, spatial econometrics, growth empirics, human capital externalities, physical capital externalities, technological interdependence, European regions
• Subjects: C - Mathematical and Quantitative Methods > C3 - Multiple or Simultaneous Equation Models ; Multiple Variables > C31 - Cross-Sectional Models ; Spatial Models ; Treatment Effect Models ; Quantile Regressions ; Social Interaction Models; O - Economic Development, Innovation, Technological Change, and Growth > O1 - Economic Development > O18 - Urban, Rural, Regional, and Transportation Analysis ; Housing ; Infrastructure; O - Economic Development, Innovation, Technological Change, and Growth > O4 - Economic Growth and Aggregate Productivity > O47 - Empirical Studies of Economic Growth ; Aggregate Productivity ; Cross-Country Output Convergence; R - Urban, Rural, Regional, Real Estate, and Transportation Economics > R1 - General Regional Economics > R11 - Regional Economic Activity: Growth, Development, Environmental Issues, and Changes; R - Urban, Rural, Regional, Real Estate, and Transportation Economics > R1 - General Regional Economics > R15 - Econometric and Input-Output Models ; Other Models

References

Abreu, M. 2014. “Neoclassical Regional Growth Models.” In Handbook of Regional Science [=Major Reference Work in Regional Science], edited by M.M. Fischer and P. Nijkamp, pp. 169-91. Heidelberg, New York, Dordrecht and London: Springer.

Arrow, K. 1962. “The Economic Implications of Learning by Doing.” Review of Economic Studies 29:155–73.

Bond, S.R., Hoeffler, A., and J. Temple. 2001. “GMM Estimation of Empirical Growth Models.” Centre for Economic Policy Research (CEPRS), Discussion Paper no. 3048.

Borts, G.H., and J.L. Stein. 1968, “Economic Growth in a Free Market”. New York: Columbia University Press.

Cheshire, P.C., and G. Carbonaro. 1995. “Convergence-Divergence in Regional Growth Rates: An Empty Black Box?” In Convergence and Divergence among European Regions, edited by H.W. Armstrong and R.W. Vickerman, pp. 89–111. London: Pion.

Ertur, C., and W. Koch. 2007. “Growth, Technological Interdependence and Spatial Externalities: Theory and Evidence.” Journal of Applied Econometrics 22:1033–62.

Fingleton, B. 2001. “Equilibrium and Economic Growth: Spatial Econometric Models and Simulations.” Journal of Regional Science 41:117–47.

Fingleton, B., and M.M. Fischer. 2010. “Neoclassical Theory versus New Economic Geography: Competing Explanations of Cross-Regional Variation in Economic Development.” Annals of Regional Science 44:467–91.

Fingleton, B., and E. López-Bazo. 2006. “Empirical Growth Models with Spatial Effects.” Papers in Regional Science 85:177–98.

Fischer, M.M. 2011. “A Spatial Mankiw-Romer-Weil Model: Theory and Evidence.” Annals of Regional Science 47:419–36.

Fischer, M.M., and C. Stirböck. 2006. “Pan-European Regional Income Growth and Club-Convergence.” Annals of Regional Science 40:693–721.

LeSage, J.P. 1999. “The Theory and Practice of Spatial Econometrics, a Manual to Accompany the Spatial Econometrics Toolbox”, freely available at: www.spatialeconometrics.com

LeSage, J.P., and M.M. Fischer. 2008. “Spatial Growth Regressions: Model Specification, Estimation and Interpretation.” Spatial Economic Analysis 3:275–304.

LeSage, J.P., and R.K. Pace. 2009. Introduction to Spatial Econometrics. Boca Raton: CRC Press.

LeSage, J.P., and R.K. Pace, 2014. “Interpreting Spatial Econometric Models.” In Handbook of Regional Science [=Major Reference Work in Regional Science], edited by M.M. Fischer and P. Nijkamp, pp. 1535-52. Heidelberg, New York, Dordrecht and London: Springer.

Lucas, R.E. 1988. “On the Mechanics of Economic Development.” Journal of Monetary Economics 22:3–42.

Lutzker, A. 2003. “International Productivity Convergence in the New Economy: More or Less Likely.” In New Economy Handbook, edited by D.C. Jones, pp. 753–766. Amsterdam: Academic Press.

Mankiw, N.E., Romer, D., and D.N. Weil. 1992. “A Contribution to the Empirics of Economic Growth.” Quarterly Journal of Economics 107:407–37.

Manley, D. 2014. “Scale, Zonations and the Modifiable Areal Unit Problem.” In Handbook of Regional Science [=Major Reference Work in Regional Science], edited by M.M. Fischer and P. Nijkamp, pp. 1157-71. Heidelberg, New York, Dordrecht and London: Springer.

Manski, C.F. 1993. “Identification of Endogenous Social Effects: The Reflection Problem.” Review of Economic Studies 60:531–42.

Roberts, M., and Setterfield, M. 2010. “Endogenous Regional Growth: A Critical Survey.” In Handbook of Alternative Theories of Economic Growth, edited by M. Setterfield, pp. 431–50. Cheltenham: Edward Elgar.

Romer, P.M. 1986. “Increasing Returns and Long-Run Growth.” Journal of Political Economy 94:1002–37.

Solow, R.M. 1956. “A Contribution to the Theory of Economic Growth.” Quarterly Journal of Economics 70:56–94.

UNESCO. 2006. ISCED 1997. International Standard Classification of Education. Paris: United Nations Educational, Scientific and Cultural Organization.