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Ecological Barriers and Convergence: A Note on Geometry in Spatial Growth Models

We introduce an AK spatial growth model with a general geographical structure. The dynamics of the economy is described by a partial differential equation on a Riemannian manifold. The morphology interacts with the spatial dynamics of the capital and is one determinant of the qualitative behavior of the economy. We characterize on the geographical structure the conditions that guarantee, in the long run, the convergence of the detrended capital across locations and those inducing spatial capital agglomeration

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File URL: http://epee.univ-evry.fr/RePEc/2014/14-05.pdf
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Paper provided by Centre d'Études des Politiques Économiques (EPEE), Université d'Evry Val d'Essonne in its series Documents de recherche with number 14-05.

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Length: 15 pages
Date of creation: 2014
Date of revision:
Handle: RePEc:eve:wpaper:14-05
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  1. Klaus Desmet & Esteban Rossi-Hansberg, 2010. "On Spatial Dynamics," Journal of Regional Science, Wiley Blackwell, vol. 50(1), pages 43-63.
  2. Camacho, Carmen & Zou, Benteng & Briani, Maya, 2011. "On the dynamics of capital accumulation across space," Center for Mathematical Economics Working Papers 376, Center for Mathematical Economics, Bielefeld University.
  3. BOUCEKKINE, Raouf & CAMACHO, Carmen & ZOU, Benteng, . "Bridging the gap between growth theory and the new economic geography: The spatial Ramsey model," CORE Discussion Papers RP 2090, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  4. Danny Quah, 2002. "Spatial Agglomeration Dynamics," CEP Discussion Papers dp0521, Centre for Economic Performance, LSE.
  5. Boucekkine, R. & Camacho, C. & Fabbri, G., 2013. "Spatial dynamics and convergence: The spatial AK model," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2719-2736.
  6. BOUCEKKINE, Raouf & LICANDRO, Omar & PUCH, Luis A. & DEL RIO, Fernando, . "Vintage capital and the dynamics of the AK model," CORE Discussion Papers RP 1757, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  7. BOUCEKKINE, Raouf & FABBRI, Giorgio & GOZZI, Fausto, . "Maintenance and investment: complements or substitutes? A reappraisal," CORE Discussion Papers RP 2333, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  8. Danny Quah, 2002. "Spatial Agglomeration Dynamics," American Economic Review, American Economic Association, vol. 92(2), pages 247-252, May.
  9. Brock, William & Xepapadeas, Anastasios, 2008. "Diffusion-induced instability and pattern formation in infinite horizon recursive optimal control," Journal of Economic Dynamics and Control, Elsevier, vol. 32(9), pages 2745-2787, September.
  10. W.A. Brock & A. Xepapadeas & A.N. Yannacopoulos, 2014. "Optimal Control in Space and Time and the Management of Environmental Resources," Annual Review of Resource Economics, Annual Reviews, vol. 6(1), pages 33-68, October.
  11. Mossay, Pascal, 2013. "A theory of rational spatial agglomerations," Regional Science and Urban Economics, Elsevier, vol. 43(2), pages 385-394.
  12. Brito, Paulo, 2011. "Global endogenous growth and distributional dynamics," MPRA Paper 41653, University Library of Munich, Germany.
  13. Paulo Brito, 2004. "The Dynamics of Growth and Distribution in a Spatially Heterogeneous World," Working Papers Department of Economics 2004/14, ISEG - School of Economics and Management, Department of Economics, University of Lisbon.
  14. Fabbri, Giorgio & Gozzi, Fausto, 2008. "Solving optimal growth models with vintage capital: The dynamic programming approach," Journal of Economic Theory, Elsevier, vol. 143(1), pages 331-373, November.
  15. Danny Quah, 2002. "Spatial agglomeration dynamics," LSE Research Online Documents on Economics 2042, London School of Economics and Political Science, LSE Library.
  16. Gani Aldashev & Serik Aldashev & Timoteo Carletti, 2014. "On Convergence in the Spatial AK Growth Models," Papers 1401.4887, arXiv.org.
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