IDEAS home Printed from https://ideas.repec.org/p/cor/louvrp/2062.html
   My bibliography  Save this paper

Easter Island's collapse: a tale of a population race

Author

Listed:
  • DE LA CROIX, David
  • DOTTORI, Davide

Abstract

We study different extended formulations for the set (formule) in order to tackle the feasibility problem for the set (formule). Here the goal is not to find an improved polyhedral relaxation of conv(X+), but rather to reformulate in such a way that the new variables introduced provide good branching directions, and in certain circumstances permit one to deduce rapidly that the instance is infeasible. For the case that A has one row a we analyze the reformulations in more detail. In particular, we determine the integer width of the extended formulations in the direction of the last coordinate, and derive a lower bound on the Frobenius number of a. We also suggest how a decomposition of the vector a can be obtained that will provide a useful extended formulation. Our theoretical results are accompanied by a small computational study.
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • DE LA CROIX, David & DOTTORI, Davide, 2009. "Easter Island's collapse: a tale of a population race," LIDAM Reprints CORE 2062, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvrp:2062
    DOI: 10.1007/s10887-007-9025-z
    Note: In : Journal of Economic Growth, 13, 27-55, 2008
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Brander, James A & Taylor, M Scott, 1998. "The Simple Economics of Easter Island: A Ricardo-Malthus Model of Renewable Resource Use," American Economic Review, American Economic Association, vol. 88(1), pages 119-138, March.
    2. Dalton, Thomas R. & Coats, R. Morris & Asrabadi, Badiollah R., 2005. "Renewable resources, property-rights regimes and endogenous growth," Ecological Economics, Elsevier, vol. 52(1), pages 31-41, January.
    3. Nils-Petter Lagerlöf, 2006. "The Galor-Weil Model Revisited: A Quantitative Exercise," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 9(1), pages 116-142, January.
    4. Rafael Reuveny & John W. Maxwell, 2001. "Conflict and Renewable Resources," Journal of Conflict Resolution, Peace Science Society (International), vol. 45(6), pages 719-742, December.
    5. Barro, Robert J, 1974. "Are Government Bonds Net Wealth?," Journal of Political Economy, University of Chicago Press, vol. 82(6), pages 1095-1117, Nov.-Dec..
    6. Ken Binmore & Ariel Rubinstein & Asher Wolinsky, 1986. "The Nash Bargaining Solution in Economic Modelling," RAND Journal of Economics, The RAND Corporation, vol. 17(2), pages 176-188, Summer.
    7. Harford, Jon D., 2000. "Methods of pricing common property use and some implications for optimal child-bearing and the social discount rate," Resource and Energy Economics, Elsevier, vol. 22(2), pages 103-124, May.
    8. Hirshleifer, Jack, 1991. "The Technology of Conflict as an Economic Activity," American Economic Review, American Economic Association, vol. 81(2), pages 130-134, May.
    9. Anderies, John M., 2000. "On modeling human behavior and institutions in simple ecological economic systems," Ecological Economics, Elsevier, vol. 35(3), pages 393-412, December.
    10. Lasserre, Pierre & Soubeyran, Antoine, 2003. "A Ricardian model of the tragedy of the commons," Journal of Economic Behavior & Organization, Elsevier, vol. 50(1), pages 29-45, January.
    11. R. Morris Coats & Thomas R. Dalton, 2000. "Could institutional reform have saved Easter Island?," Journal of Evolutionary Economics, Springer, vol. 10(5), pages 489-505.
    12. Ehrlich, Isaac & Lui, Francis T, 1991. "Intergenerational Trade, Longevity, and Economic Growth," Journal of Political Economy, University of Chicago Press, vol. 99(5), pages 1029-1059, October.
    13. D'Alessandro, Simone, 2007. "Non-linear dynamics of population and natural resources: The emergence of different patterns of development," Ecological Economics, Elsevier, vol. 62(3-4), pages 473-481, May.
    14. Pezzey, John C. V. & Anderies, John M., 2003. "The effect of subsistence on collapse and institutional adaptation in population-resource societies," Journal of Development Economics, Elsevier, vol. 72(1), pages 299-320, October.
    15. F. H. Hahn, 1962. "The Stability of the Cournot Oligopoly Solution," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 29(4), pages 329-331.
    16. Grossman, Herschel I & Kim, Minseong, 1995. "Swords or Plowshares? A Theory of the Security of Claims to Property," Journal of Political Economy, University of Chicago Press, vol. 103(6), pages 1275-1288, December.
    17. Hirshleifer, Jack, 1995. "Anarchy and Its Breakdown," Journal of Political Economy, University of Chicago Press, vol. 103(1), pages 26-52, February.
    18. Jon D. Erickson & John M. Gowdy, 2000. "Resource Use, Institutions, and Sustainability: A Tale of Two Pacific Island Cultures," Land Economics, University of Wisconsin Press, vol. 76(3), pages 345-354.
    19. Stergios Skaperdas, 1996. "Contest success functions (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(2), pages 283-290.
    20. Münster, Johannes & Staal, Klaas, 2005. "War with Outsiders Makes Peace Inside," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 75, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
    21. Maxwell, John W. & Reuveny, Rafael, 2005. "Continuing conflict," Journal of Economic Behavior & Organization, Elsevier, vol. 58(1), pages 30-52, September.
      • John W. Maxwell & Rafael Reuveny, 2004. "Continuing Conflict," Working Papers 2004-27, Indiana University, Kelley School of Business, Department of Business Economics and Public Policy.
    22. Reuveny, Rafael & Decker, Christopher S., 2000. "Easter Island: historical anecdote or warning for the future?," Ecological Economics, Elsevier, vol. 35(2), pages 271-287, November.
    23. Barry Rolett & Jared Diamond, 2004. "Environmental predictors of pre-European deforestation on Pacific islands," Nature, Nature, vol. 431(7007), pages 443-446, September.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Kuil, Linda & Carr, Gemma & Prskawetz, Alexia & Salinas, José Luis & Viglione, Alberto & Blöschl, Günter, 2019. "Learning from the Ancient Maya: Exploring the Impact of Drought on Population Dynamics," Ecological Economics, Elsevier, vol. 157(C), pages 1-16.
    2. Roman, Sabin & Bullock, Seth & Brede, Markus, 2017. "Coupled Societies are More Robust Against Collapse: A Hypothetical Look at Easter Island," Ecological Economics, Elsevier, vol. 132(C), pages 264-278.
    3. Zachary Dockstader & Chris T. Bauch & Madhur Anand, 2019. "Interconnections Accelerate Collapse in a Socio-Ecological Metapopulation," Sustainability, MDPI, vol. 11(7), pages 1-13, March.
    4. Nagase, Yoko & Uehara, Takuro, 2011. "Evolution of population-resource dynamics models," Ecological Economics, Elsevier, vol. 72(C), pages 9-17.
    5. Rafael Reuveny & John W. Maxwell & Jefferson Davis, 2011. "Dynamic Winner-Take-All Conflict," Defence and Peace Economics, Taylor & Francis Journals, vol. 22(5), pages 471-492, August.
    6. Late Lawson & Lawson Late, 2020. "A simple Ricardo-Malthusian model of population, deforestation and biodiversity loss," Working Papers 2020.08, FAERE - French Association of Environmental and Resource Economists.
    7. Rafael Reuveny & John W. Maxwell, 2001. "Conflict and Renewable Resources," Journal of Conflict Resolution, Peace Science Society (International), vol. 45(6), pages 719-742, December.
    8. Pietro Peretto & Simone Valente, 2015. "Growth on a finite planet: resources, technology and population in the long run," Journal of Economic Growth, Springer, vol. 20(3), pages 305-331, September.
    9. Maxwell, John W. & Reuveny, Rafael, 2005. "Continuing conflict," Journal of Economic Behavior & Organization, Elsevier, vol. 58(1), pages 30-52, September.
      • John W. Maxwell & Rafael Reuveny, 2004. "Continuing Conflict," Working Papers 2004-27, Indiana University, Kelley School of Business, Department of Business Economics and Public Policy.
    10. Cyrus Chu, C.Y. & Lai, Ching-Chong & Liao, Chih-Hsing, 2014. "How could the non-sustainable Easter Island have been sustained?," International Review of Economics & Finance, Elsevier, vol. 34(C), pages 161-174.
    11. D'Alessandro, Simone, 2007. "Non-linear dynamics of population and natural resources: The emergence of different patterns of development," Ecological Economics, Elsevier, vol. 62(3-4), pages 473-481, May.
    12. James A. Brander, 2007. "Viewpoint: Sustainability: Malthus revisited?," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 40(1), pages 1-38, February.
    13. Anderton, Charles H. & Carter, John R., 2008. "Vulnerable trade: The dark side of an Edgeworth box," Journal of Economic Behavior & Organization, Elsevier, vol. 68(2), pages 422-432, November.
    14. Garfinkel, Michelle R. & Skaperdas, Stergios, 2007. "Economics of Conflict: An Overview," Handbook of Defense Economics, in: Keith Hartley & Todd Sandler (ed.), Handbook of Defense Economics, edition 1, volume 2, chapter 22, pages 649-709, Elsevier.
    15. Eggert, Wolfgang & Itaya, Jun-ichi & Mino, Kazuo, 2011. "A dynamic model of conflict and appropriation," Journal of Economic Behavior & Organization, Elsevier, vol. 78(1), pages 167-182.
    16. Pezzey, John C. V. & Anderies, John M., 2003. "The effect of subsistence on collapse and institutional adaptation in population-resource societies," Journal of Development Economics, Elsevier, vol. 72(1), pages 299-320, October.
    17. Hausken, Kjell, 2008. "Whether to attack a terrorist's resource stock today or tomorrow," Games and Economic Behavior, Elsevier, vol. 64(2), pages 548-564, November.
    18. Reuveny, Rafael & Maxwell, John W. & Davis, Jefferson, 2011. "On conflict over natural resources," Ecological Economics, Elsevier, vol. 70(4), pages 698-712, February.
    19. Martin Wittenberg, 2008. "To Prey Or Not To Prey? Welfare And Individual Losses In A Conflict Model1," South African Journal of Economics, Economic Society of South Africa, vol. 76(2), pages 239-265, June.
    20. Pakandam, Barzin, 2009. "Why Easter Island collapsed: an answer for an enduring question," Economic History Working Papers 27864, London School of Economics and Political Science, Department of Economic History.

    More about this item

    JEL classification:

    • J13 - Labor and Demographic Economics - - Demographic Economics - - - Fertility; Family Planning; Child Care; Children; Youth
    • O13 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Agriculture; Natural Resources; Environment; Other Primary Products
    • J52 - Labor and Demographic Economics - - Labor-Management Relations, Trade Unions, and Collective Bargaining - - - Dispute Resolution: Strikes, Arbitration, and Mediation

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:cor:louvrp:2062. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Alain GILLIS (email available below). General contact details of provider: https://edirc.repec.org/data/coreebe.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.