IDEAS home Printed from
   My bibliography  Save this article

Food Security, Fertility Differentials and Land Degradation in Sub-Saharan Africa: A Dynamic Framework


  • Maria Winkler-Dworak


We study the impact of differential fertility levels for the food-insecure and food-secure population on the long-run values of the population distribution and resources in a descriptive model where the food security states are determined by a historically given food distribution and the endogenous food production with resources and labour as inputs. Furthermore, we assume that the resource stock is reduced by poverty-driven environmental degradation. Moreover, we incorporate nutritional effects on labour productivity and mortality. By applying local bifurcation theory, we show that the model may exhibit multiple equilibria. Furthermore, the orbits of resources and the population distribution may be characterised by quasi-periodic behaviour. Sustainable development in terms of approaching a steady state with positive values of resources and food-secure population is only promoted by low fertility levels of the food-insecure and food-secure population.

Suggested Citation

  • Maria Winkler-Dworak, 2004. "Food Security, Fertility Differentials and Land Degradation in Sub-Saharan Africa: A Dynamic Framework," Vienna Yearbook of Population Research, Vienna Institute of Demography (VID) of the Austrian Academy of Sciences in Vienna, vol. 2(1), pages 227-252.
  • Handle: RePEc:vid:yearbk:v:2:y:2004:i:1:p:227-252

    Download full text from publisher

    File URL:
    Download Restriction: no

    References listed on IDEAS

    1. Lam, David, 1988. "Lorenz curves, inequality, and social welfare under changing population composition," Journal of Policy Modeling, Elsevier, vol. 10(1), pages 141-162, April.
    2. 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.
    3. Rothschild, Michael & Stiglitz, Joseph E., 1973. "Some further results on the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 6(2), pages 188-204, April.
    4. Strauss, John, 1986. "Does Better Nutrition Raise Farm Productivity?," Journal of Political Economy, University of Chicago Press, vol. 94(2), pages 297-320, April.
    5. Beaumont, Paul M. & Walker, Robert T., 1996. "Land degradation and property regimes," Ecological Economics, Elsevier, vol. 18(1), pages 55-66, July.
    6. Ogwang, Tomson & Gouranga Rao, U. L., 1996. "A new functional form for approximating the Lorenz curve," Economics Letters, Elsevier, vol. 52(1), pages 21-29, July.
    7. A. Prskawetz & G. Steinmann & G. Feichtinger, 2000. "Human capital, technological progress and the demographic transition," Mathematical Population Studies, Taylor & Francis Journals, vol. 7(4), pages 343-363.
    8. Oded Galor & Joseph Zeira, 1993. "Income Distribution and Macroeconomics," Review of Economic Studies, Oxford University Press, vol. 60(1), pages 35-52.
    9. Prskawetz, Alexia & Winkler-Dworak, Maria & Feichtinger, Gustav, 2003. "Production, distribution and insecurity of food: a dynamic framework," Structural Change and Economic Dynamics, Elsevier, vol. 14(3), pages 317-337, September.
    10. Daniel Chen & Michael Kremer, 1999. "Income-Distribution Dynamics with Endogenous Fertility," American Economic Review, American Economic Association, vol. 89(2), pages 155-160, May.
    11. Rothschild, Michael & Stiglitz, Joseph E., 1970. "Increasing risk: I. A definition," Journal of Economic Theory, Elsevier, vol. 2(3), pages 225-243, September.
    12. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
    13. Chotikapanich, Duangkamon, 1993. "A comparison of alternative functional forms for the Lorenz curve," Economics Letters, Elsevier, vol. 41(2), pages 129-138.
    14. Anderies, John M., 2003. "Economic development, demographics, and renewable resources: a dynamical systems approach," Environment and Development Economics, Cambridge University Press, vol. 8(02), pages 219-246, May.
    Full references (including those not matched with items on IDEAS)

    More about this item


    Access and download statistics


    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:vid:yearbk:v:2:y:2004:i:1:p:227-252. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Frank Kolesnik). General contact details of provider: .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.