IDEAS home Printed from https://ideas.repec.org/p/vid/wpaper/0301.html
   My bibliography  Save this paper

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

Author

Listed:
  • Maria Winkler-Dworak

Abstract

We study the impact of differential fertility levels for the food-insecure and foodsecure 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 by the endogenous food production with resources and labor as inputs. Furthermore, we assume that the resource stock is reduced by povertydriven environmental degradation. Moreover, we incorporate nutritional effects on labor 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 characterized by quasi-periodic behavior. 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, 2003. "Food Security, Fertility Differentials and Land Degradation in Sub-Saharan Africa: A Dynamic Framework," VID Working Papers 0301, Vienna Institute of Demography (VID) of the Austrian Academy of Sciences in Vienna.
    • Handle: RePEc:vid:wpaper:0301
    as

    Download full text from publisher

    File URL: https://www.oeaw.ac.at/fileadmin/subsites/Institute/VID/PDF/Publications/Working_Papers/WP2003_1.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    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. 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.
    3. Dasgupta, Partha & Ray, Debraj, 1987. "Inequality as a Determinant of Malnutrition and Unemployment: Policy," Economic Journal, Royal Economic Society, vol. 97(385), pages 177-188, March.
    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. Kremer, Michael & Chen, Daniel L, 2002. "Income Distribution Dynamics with Endogenous Fertility," Journal of Economic Growth, Springer, vol. 7(3), pages 227-258, September.
    7. 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.
    8. 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.
    9. Oded Galor & Joseph Zeira, 1993. "Income Distribution and Macroeconomics," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 60(1), pages 35-52.
    10. 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.
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Tomas Sobotka & Maria Winkler-Dworak & Maria Rita Testa & Wolfgang Lutz & Dimiter Philipov & Henriette Engelhardt & Richard Gisser, 2005. "Monthly Estimates of the Quantum of Fertility: Towards a Fertility Monitoring System in Austria," VID Working Papers 0501, Vienna Institute of Demography (VID) of the Austrian Academy of Sciences in Vienna.
    2. Warren Sanderson & Sergei Scherbov & Brian O'Neill & Wolfgang Lutz, 2003. "Conditional Probabilistic Population Forecasting," VID Working Papers 0303, Vienna Institute of Demography (VID) of the Austrian Academy of Sciences in Vienna.
    3. Henriette Engelhardt & Alexia Prskawetz, 2005. "Socioeconomic patterns and determinants of adult mortality due to external-causes in India: Analysis of nationally-representative, population-based survey data," VID Working Papers 0502, Vienna Institute of Demography (VID) of the Austrian Academy of Sciences in Vienna.
    4. Bahre Gebru & Sosina Bezu, 2012. "Environmental Resource Collection versus Children’s Schooling: Evidence from Tigray, Northern Ethiopia," Working Papers 007, Policy Studies Institute.
    5. Franz Schwarz, 2004. "Analysis of Inequalities in Waiting Time at the Visit to the Physician using Regression Modeling for Duration Data," VID Working Papers 0404, Vienna Institute of Demography (VID) of the Austrian Academy of Sciences in Vienna.

    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. 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.
    2. 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.
    3. Miguel Sordo & Jorge Navarro & José Sarabia, 2014. "Distorted Lorenz curves: models and comparisons," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 42(4), pages 761-780, April.
    4. Theodore Koutmeridis, 2013. "The Market for "Rough Diamonds": Information, Finance and Wage Inequality," CDMA Working Paper Series 201307, Centre for Dynamic Macroeconomic Analysis, revised 14 Oct 2013.
    5. Satya Paul & Sriram Shankar, 2020. "An alternative single parameter functional form for Lorenz curve," Empirical Economics, Springer, vol. 59(3), pages 1393-1402, September.
    6. WANG, Zuxiang & SMYTH, Russell & NG, Yew-Kwang, 2009. "A new ordered family of Lorenz curves with an application to measuring income inequality and poverty in rural China," China Economic Review, Elsevier, vol. 20(2), pages 218-235, June.
    7. Francesco Andreoli & Claudio Zoli, 2020. "From unidimensional to multidimensional inequality: a review," METRON, Springer;Sapienza Università di Roma, vol. 78(1), pages 5-42, April.
    8. Yoram Amiel & Frank Cowell & Liema Davidovitz & Avraham Polovin, 2008. "Preference reversals and the analysis of income distributions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 30(2), pages 305-330, February.
    9. Gilles Saint-Paul, 2001. "The Dynamics of Exclusion and Fiscal Conservatism," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 4(2), pages 275-302, April.
    10. Camacho-Cuena, Eva & Seidl, Christian & Morone, Andrea, 2005. "Comparing preference reversal for general lotteries and income distributions," Journal of Economic Psychology, Elsevier, vol. 26(5), pages 682-710, October.
    11. Sarabia Alegría, J.M & Pascual Sáez, Marta, 2001. "Rankings de distribuciones de renta basados en curvas de Lorenz ordenadas: un estudio empírico1," Estudios de Economia Aplicada, Estudios de Economia Aplicada, vol. 19, pages 151-169, Diciembre.
    12. Marrero, Gustavo A. & Rodríguez, Juan G., 2013. "Inequality of opportunity and growth," Journal of Development Economics, Elsevier, vol. 104(C), pages 107-122.
    13. Rolf Aaberge, 2003. "Mean-Spread-Preserving Transformations," Discussion Papers 360, Statistics Norway, Research Department.
    14. Fischer, Ronald D, 1992. "Income Distribution in the Dynamic Two-Factor Trade Model," Economica, London School of Economics and Political Science, vol. 59(234), pages 221-233, May.
    15. Breitmeyer, Carsten & Hakenes, Hendrik & Pfingsten, Andreas, 2004. "From poverty measurement to the measurement of downside risk," Mathematical Social Sciences, Elsevier, vol. 47(3), pages 327-348, May.
    16. Alessandro Spiganti, 2020. "Inequality of opportunity, inequality of effort, and innovation," Economics Working Papers MWP 2020/02, European University Institute.
    17. Brice Magdalou & Dimitri Dubois & Phu Nguyen-Van, 2009. "Risk and Inequality Aversion in Social Dilemmas," Working Papers 09-02, LAMETA, Universtiy of Montpellier, revised Mar 2009.
    18. Fabio Maccheroni & Pietro Muliere & Claudio Zoli, 2005. "Inverse stochastic orders and generalized Gini functionals," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3), pages 529-559.
    19. Satya R. Chakravarty & Claudio Zoli, 2019. "Stochastic Dominance Relations for Integer Variables," Themes in Economics, in: Satya R. Chakravarty (ed.), Poverty, Social Exclusion and Stochastic Dominance, pages 211-222, Springer.
    20. Seidl, Christian & Camacho Cuena, Eva & Morone, Andrea, 2003. "Income Distributions versus Lotteries Happiness, Response-Mode Effects, and Preference," Economics Working Papers 2003-01, Christian-Albrechts-University of Kiel, Department of Economics.

    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:vid:wpaper:0301. 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: Bernhard Rengs (email available below). General contact details of provider: https://www.oeaw.ac.at/vid/ .

    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.