Advertisement

Journal of Statistical Physics

, Volume 151, Issue 3–4, pp 475–493 | Cite as

Sustainable Development and Spatial Inhomogeneities

  • Gérard WeisbuchEmail author
Article

Abstract

Historical data, theory and computer simulations support a connection between growth and economic inequality. Our present world with large regional differences in economic activity is a result of fast economic growth during the last two centuries. Because of limits to growth we might expect a future world to develop differently with far less growth. The question that we here address is: “Would a world with a sustainable economy be less unequal?” We then develop integrated spatial economic models based on limited resources consumption and technical knowledge accumulation and study them by the way of computer simulations. When the only coupling between world regions is diffusion we do not observe any spatial unequality. By contrast, highly localized economic activities are maintained by global market mechanisms. Structures sizes are determined by transportation costs. Wide distributions of capital and production are also predicted in this regime.

Keywords

Patterns Environment Economics Distributions Integrated assessment Energy 

Notes

Acknowledgements

We thank Markus Brede, Adrian Carro, Bernard Derrida, Roger Guesnerie, Alan Kirman, Yoram Louzoun, Hubertus de Vries and Bin Xu for helpful discussions and suggestions. We thank referees for raising interesting and important issues.

References

  1. 1.
    Anderson, P.W.: Suggested model for prebiotic evolution: the use of chaos. Proc. Natl. Acad. Sci. USA 80(11), 3386 (1983) ADSCrossRefGoogle Scholar
  2. 2.
    Anderson, S.P., De Palma, A., Thisse, J.-F.: Discrete Choice Theory of Product Differentiation. MIT Press, Cambridge (1992) zbMATHGoogle Scholar
  3. 3.
    Bairoch, P.: Victoires et déboires: histoire économique et sociale du monde du XVIe siècle à nos jours, vol. 3. Gallimard, Paris (1997) Google Scholar
  4. 4.
    Barro, R.J., Sala-i Martin, X.: Economic Growth. McGraw-Hill, New York (1995) Google Scholar
  5. 5.
    Bénard, H.: Les tourbillons cellulaires dans une nappe liquide. Rev. Gén. Sci. Pures Appl. 11, 1261–1271 (1900) 1309–1328 Google Scholar
  6. 6.
    Challet, D., Solomon, S., Yaari, G.: The universal shape of economic recession and recovery after a shock. Economics 3, 200936 (2009) Google Scholar
  7. 7.
    Clark, C.W.: Mathematical Bioeconomics: The Optimal Management of Renewable Resources. Wiley, New York (1990) zbMATHGoogle Scholar
  8. 8.
    Cobb, C.W., Douglas, P.H.: A theory of production. Am. Econ. Rev. 18, 139–165 (1928) Google Scholar
  9. 9.
    Combes, P.-P., Mayer, T., Thisse, J.-F.: Economic Geography: The Integration of Regions and Nations. Princeton University Press, Princeton (2008) Google Scholar
  10. 10.
    Dover, Y., Moulet, S., Solomon, S., Yaari, G.: Do all economies grow equally fast? Risk Decis. Anal. 1(3), 505–513 (2009) Google Scholar
  11. 11.
    Ermentrout, G.B., Cowan, J.D.: A mathematical theory of visual hallucination patterns. Biol. Cybern. 34(3), 137–150 (1979) MathSciNetzbMATHCrossRefGoogle Scholar
  12. 12.
    Gell-Mann, M.: Transformations of the twenty-first century: transitions to greater sustainability. In: Global Sustainability: A Nobel Cause, p. 1 (2010) Google Scholar
  13. 13.
    Glansdorff, P., Prigogine, I.: Thermodynamic Theory of Structure Stability and Fluctuations. Wiley, London (1971) zbMATHGoogle Scholar
  14. 14.
    Krugman, P.R.: The Self-Organizing Economy. Blackwell Publishers, Cambridge/Oxford (1996) Google Scholar
  15. 15.
    Kuemmel, R., Henn, J., Lindenberger, D.: Capital, labor, energy and creativity: modeling innovation diffusion. Struct. Chang. Econ. Dyn. 13, 415–433 (2002) CrossRefGoogle Scholar
  16. 16.
    Louzoun, Y., Shnerb, N.M., Solomon, S.: Microscopic noise, adaptation and survival in hostile environments. Eur. Phys. J. B 56(2), 141–148 (2007) ADSCrossRefGoogle Scholar
  17. 17.
    Louzoun, Y., Solomon, S., Atlan, H., Cohen, I.R.: Proliferation and competition in discrete biological systems. Bull. Math. Biol. 65(3), 375–396 (2003) CrossRefGoogle Scholar
  18. 18.
    Louzoun, Y., Solomon, S., Goldenberg, J., Mazursky, D.: World-size global markets lead to economic instability. Artif. Life 9(4), 357–370 (2003) CrossRefGoogle Scholar
  19. 19.
    McKay, D.J.C.: Sustainable Energy—Without the Hot Air. UIT Cambridge, England (2009) Google Scholar
  20. 20.
    Moulet, S.: Impact de l’organisation du marché : Comparaison de la négociation de gré à gré et des enchères descendantes. Technical report, GREQAM, Marseille (2008) Google Scholar
  21. 21.
    Nelson, R.R., Winter, S.G.: An Evolutionary Theory of Economic Change. Belknap Press, Cambridge (1982) Google Scholar
  22. 22.
    Nordhaus, W.D.: A review of the stern review on the economics of climate. J. Econ. Lit. 45(3), 686–702 (2007) CrossRefGoogle Scholar
  23. 23.
    Rogers, E.M.: Diffusion of Innovations. Free Press, New York (1995) Google Scholar
  24. 24.
    Shnerb, N.M., Bettelheim, E., Louzoun, Y., Agam, O., Solomon, S.: Adaptation of autocatalytic fluctuations to diffusive noise. Phys. Rev. E 63(2), 21103 (2001) ADSCrossRefGoogle Scholar
  25. 25.
    Shnerb, N.M., Louzoun, Y., Bettelheim, E., Solomon, S.: The importance of being discrete: life always wins on the surface. Proc. Natl. Acad. Sci. USA 97(19), 10322 (2000) ADSzbMATHCrossRefGoogle Scholar
  26. 26.
    Simon, H.: Bounded rationality and organizational learning. Organization Science (1991) Google Scholar
  27. 27.
    Stern, N.H.: The Economics of Climate Change: The Stern Review. Cambridge University Press, Cambridge (2007) Google Scholar
  28. 28.
    Turing, A.M.: The chemical basis of morphogenesis. Philos. Trans. R. Soc. Lond. B, Biol. Sci. 237(641), 37–72 (1952) ADSCrossRefGoogle Scholar
  29. 29.
    Weisbuch, G.: Complex Systems Dynamics, Santa-Fe Institute Studies in the Sciences of Complexity. Addison-Wesley, Redwood (1990) Google Scholar
  30. 30.
    Weisbuch, G., Kirman, A., Herreiner, D.: Market organisation and trading relationships. Econ. J. (Lond.) 110(463), 411–436 (2000) CrossRefGoogle Scholar
  31. 31.
    Weitzman, M.L.: Risk-adjusted gamma discounting. J. Environ. Econ. Manag. 60(1), 1–13 (2010) MathSciNetzbMATHCrossRefGoogle Scholar
  32. 32.
    Yaari, G., Solomon, S., Rokocy, K., Nowak, A.: Microscopic study reveals the singular origins of growth. Eur. Phys. J. B 62(4), 505–513 (2008) ADSCrossRefGoogle Scholar
  33. 33.
    Yaari, G., Stauffer, D., Solomon, S.: Intermitency and localization. In: Meyers, R. (ed.) Encyclopedia of Complexity and Systems Science, vol. 3, pp. 4920–4930. Springer, Berlin (2009) Google Scholar

Copyright information

© Springer Science+Business Media New York 2012

Authors and Affiliations

  1. 1.Laboratoire de Physique Statistique de l’Ecole Normale SupérieureEnvironmental Research and Teaching InstituteParis Cedex 5France

Personalised recommendations