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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. R. Boucekkine & F. del Rio & O. Licandro & Luis A. Puch, 2000. "Vintage Capital and the Dynamics of the AK Model," Econometric Society World Congress 2000 Contributed Papers 0436, Econometric Society.
  2. Klaus Desmet & Esteban Rossi-Hansberg, 2009. "On Spatial dynamics," Working Papers 2009-16, Instituto Madrileño de Estudios Avanzados (IMDEA) Ciencias Sociales.
  3. 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.
  4. 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.
  5. Danny Quah, 2002. "Spatial agglomeration dynamics," LSE Research Online Documents on Economics 2042, London School of Economics and Political Science, LSE Library.
  6. Quah, Danny, 2002. "Spatial Agglomeration Dynamics," CEPR Discussion Papers 3208, C.E.P.R. Discussion Papers.
  7. BOUCEKKINE, Raouf & CAMACHO, Carmen & ZOU, Benteng, 2006. "Bridging the gap between growth theory and the new economic geography: the spatial Ramsey model," CORE Discussion Papers 2006072, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  8. Danny Quah, 2002. "Spatial Agglomeration Dynamics," CEP Discussion Papers dp0521, Centre for Economic Performance, LSE.
  9. 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.
  10. 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.
  11. Camacho, Carmen & Zou, Benteng & Briani, Maya, 2008. "On the dynamics of capital accumulation across space," European Journal of Operational Research, Elsevier, vol. 186(2), pages 451-465, April.
  12. Gani Aldashev & Serik Aldashev & Timoteo Carletti, 2014. "On Convergence in the Spatial AK Growth Models," Papers 1401.4887, arXiv.org.
  13. Raouf Boucekkine & Giorgio Fabbri & Fausto Gozzi, 2009. "Maintenance and investment: complements or substitutes? A reappraisal," Working Papers 2009_21, Business School - Economics, University of Glasgow.
  14. William Brock & Anastasios Xepapadeas & Athanasios Yannacopoulos, 2014. "Optimal Control in Space and Time and the Management of Environmental Resources," DEOS Working Papers 1402, Athens University of Economics and Business.
  15. Brito, Paulo, 2011. "Global endogenous growth and distributional dynamics," MPRA Paper 41653, University Library of Munich, Germany.
  16. Mossay, Pascal, 2013. "A theory of rational spatial agglomerations," Regional Science and Urban Economics, Elsevier, vol. 43(2), pages 385-394.
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