IDEAS home Printed from https://ideas.repec.org/p/han/dpaper/dp-434.html
   My bibliography  Save this paper

Lower Partial Moments as a measure of vulnerability to poverty in Cameroon

Author

Listed:
  • Witt, Rudolf
  • Waibel, Hermann

Abstract

In this paper the class of Lower Partial Moments (LPMs) is used for measuring vulnerability as downside risk of household income in rural Cameroon. This class of established and coherent risk measures has been shown to meet a number of desirable properties. Among others, the LPMs fulfill the focus axiom, and for order greater than zero they are in harmony with expected utility theory under the weak assumption of risk aversion. Through combining the vulnerability measure with a portfolio approach it is possible to distinguish different livelihood systems for which the poverty and vulnerability measures are the explicit result of stochastic distributions of single activities in the households' portfolio and their covariance structure. In particular we consider the four major income generating activities in the study area: Sorghum, millet and rice production, and fishing. The results suggest that in the study area fishermen are less affected by adverse effects on income than other livelihood systems, while rice growers are the poorest and most vulnerable. It is also shown that rice and millet growers are suffering from chronic poverty, while transient poverty is more prevalent among the group of sorghum growers and fishermen. This implication is further confirmed by assuming a moving target equal to the mean portfolio income for the calculation of LPMs. The results of the scenario analysis suggest that policy interventions aiming at a reduction of the covariation structure between income flows from different activities are quite promising.

Suggested Citation

  • Witt, Rudolf & Waibel, Hermann, 2009. "Lower Partial Moments as a measure of vulnerability to poverty in Cameroon," Hannover Economic Papers (HEP) dp-434, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.
  • Handle: RePEc:han:dpaper:dp-434
    as

    Download full text from publisher

    File URL: http://diskussionspapiere.wiwi.uni-hannover.de/pdf_bib/dp-434.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. P. B. R. Hazell, 1971. "A Linear Alternative to Quadratic and Semivariance Programming for Farm Planning under Uncertainty," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 53(1), pages 53-62.
    2. Kurukulasuriya, Pradeep & Mendelsohn, Robert, 2008. "A Ricardian analysis of the impact of climate change on African cropland," African Journal of Agricultural and Resource Economics, African Association of Agricultural Economists, vol. 2(1), pages 1-23, March.
    3. Fishburn, Peter C, 1977. "Mean-Risk Analysis with Risk Associated with Below-Target Returns," American Economic Review, American Economic Association, vol. 67(2), pages 116-126, March.
    4. P. B. R. Hazell, 1971. "A Linear Alternative to Quadratic and Semivariance Programming for Farm Planning under Uncertainty: Reply," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 53(4), pages 664-665.
    5. Ethan Ligon & Laura Schechter, 2003. "Measuring Vulnerability," Economic Journal, Royal Economic Society, vol. 113(486), pages 95-102, March.
    6. Foster, James & Greer, Joel & Thorbecke, Erik, 1984. "A Class of Decomposable Poverty Measures," Econometrica, Econometric Society, vol. 52(3), pages 761-766, May.
    7. Günther, Isabel & Harttgen, Kenneth, 2009. "Estimating Households Vulnerability to Idiosyncratic and Covariate Shocks: A Novel Method Applied in Madagascar," World Development, Elsevier, vol. 37(7), pages 1222-1234, July.
    8. Carlo Acerbi & Dirk Tasche, 2001. "Expected Shortfall: a natural coherent alternative to Value at Risk," Papers cond-mat/0105191, arXiv.org.
    9. Carlo Acerbi & Dirk Tasche, 2002. "Expected Shortfall: A Natural Coherent Alternative to Value at Risk," Economic Notes, Banca Monte dei Paschi di Siena SpA, vol. 31(2), pages 379-388, July.
    10. World Bank & International Finance Corporation & Multilateral Investment Guarantee Agency, 2008. "Development and Climate Change," World Bank Publications - Reports 28200, The World Bank Group.
    11. Carsky, R. J. & Ndikawa, R. & Singh, L. & Rao, M. R., 1995. "Response of dry season sorghum to supplemental irrigation and fertilizer N and P on Vertisols in northern Cameroon," Agricultural Water Management, Elsevier, vol. 28(1), pages 1-8, August.
    12. Joyce T. Chen & C. B. Baker, 1974. "Marginal Risk Constraint Linear Program for Activity Analysis," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 56(3), pages 622-627.
    13. Carlo Acerbi & Claudio Nordio & Carlo Sirtori, 2001. "Expected Shortfall as a Tool for Financial Risk Management," Papers cond-mat/0102304, arXiv.org.
    14. Bruce A. McCarl & Xavier Villavicencio & Ximing Wu, 2008. "Climate Change and Future Analysis: Is Stationarity Dying?," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 90(5), pages 1241-1247.
    15. Robert Jarrow & Feng Zhao, 2006. "Downside Loss Aversion and Portfolio Management," Management Science, INFORMS, vol. 52(4), pages 558-566, April.
    16. World Bank & International Finance Corporation & Multilateral Investment Guarantee Agency, 2008. "Development and Climate Change," World Bank Publications - Reports 28201, The World Bank Group.
    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. Witt, Rudolf & Waibel, Hermann, 2011. "Constraints to diversification of poor fishery-dependent households in Cameroon," African Journal of Agricultural and Resource Economics, African Association of Agricultural Economists, vol. 6(2), pages 1-21, September.
    2. Chiwaula, Levison & Waibel, Hermann, 2011. "Does seasonal vulnerability to poverty matter? A case study from the Hadejia-Nguru Wetlands in Nigeria," Proceedings of the German Development Economics Conference, Berlin 2011 19, Verein für Socialpolitik, Research Committee Development Economics.
    3. Shijiang Chen & Mingyue Liang & Wen Yang, 2022. "Does Digital Financial Inclusion Reduce China’s Rural Household Vulnerability to Poverty: An Empirical Analysis From the Perspective of Household Entrepreneurship," SAGE Open, , vol. 12(2), pages 21582440221, June.
    4. Cotter, John & Dowd, Kevin, 2006. "Extreme spectral risk measures: An application to futures clearinghouse margin requirements," Journal of Banking & Finance, Elsevier, vol. 30(12), pages 3469-3485, December.
    5. Satya R. Chakravarty & Nachiketa Chattopadhyay & Jacques Silber & Guanghua Wan, 2016. "Measuring the impact of vulnerability on the number of poor: a new methodology with empirical illustrations," Chapters, in: Jacques Silber & Guanghua Wan (ed.), The Asian ‘Poverty Miracle’, chapter 4, pages 84-117, Edward Elgar Publishing.
    6. Acerbi, Carlo, 2002. "Spectral measures of risk: A coherent representation of subjective risk aversion," Journal of Banking & Finance, Elsevier, vol. 26(7), pages 1505-1518, July.
    7. Montalbano, Pierluigi, 2011. "Trade Openness and Developing Countries' Vulnerability: Concepts, Misconceptions, and Directions for Research," World Development, Elsevier, vol. 39(9), pages 1489-1502, September.
    8. Emiliano Magrini & Pierluigi Montalbano, 2012. "Trade openness and vulnerability to poverty: Vietnam in the long-run (1992-2008)," Working Paper Series 3512, Department of Economics, University of Sussex Business School.
    9. Azeem, Muhammad Masood & Mugera, Amin W. & Schilizzi, Steven, 2016. "Poverty and vulnerability in the Punjab, Pakistan: A multilevel analysis," Journal of Asian Economics, Elsevier, vol. 44(C), pages 57-72.
    10. Casper G. de Vries & Gennady Samorodnitsky & Bjørn N. Jorgensen & Sarma Mandira & Jon Danielsson, 2005. "Subadditivity Re–Examined: the Case for Value-at-Risk," FMG Discussion Papers dp549, Financial Markets Group.
    11. Anderson, Jock R., 1975. "Programming For Efficient Planning Against Non-Normal Risk," Australian Journal of Agricultural Economics, Australian Agricultural and Resource Economics Society, vol. 19(2), pages 1-14, August.
    12. Ward, Patrick S., 2016. "Transient Poverty, Poverty Dynamics, and Vulnerability to Poverty: An Empirical Analysis Using a Balanced Panel from Rural China," World Development, Elsevier, vol. 78(C), pages 541-553.
    13. Flores, Gabriela & O’Donnell, Owen, 2016. "Catastrophic medical expenditure risk," Journal of Health Economics, Elsevier, vol. 46(C), pages 1-15.
    14. Pannell, David J., 1988. "Modelling Risk in Linear Programming Using Direct Solution of Linearly Segmented Approximations of the Utility Function," Discussion Papers 315423, University of Western Australia, School of Agricultural and Resource Economics.
    15. Kaaria, Susan Kawira, 1990. "Economic potential of high oil oats," ISU General Staff Papers 1990010108000017620, Iowa State University, Department of Economics.
    16. Alexis Bonnet & Isabelle Nagot, 2005. "Methodology of measuring performance in alternative investment," Cahiers de la Maison des Sciences Economiques b05078, Université Panthéon-Sorbonne (Paris 1).
    17. Bravo-Ureta, Boris E. & Cocchi, Horacio & Solís, Daniel, 2006. "Output Diversification among Small-Scale Hillside Farmers in El Salvador," IDB Publications (Working Papers) 3012, Inter-American Development Bank.
    18. Libbin, James D. & Johnson, Donald A. & Boehlje, Michael D. & Trede, Larry D., 1977. "A Risk-Return Analysis For The Midwest Farmer-Feeder," ISU General Staff Papers 197712010800001065, Iowa State University, Department of Economics.
    19. Musshoff, Oliver & Hirschauer, Norbert, 2007. "What benefits are to be derived from improved farm program planning approaches? - The role of time series models and stochastic optimization," Agricultural Systems, Elsevier, vol. 95(1-3), pages 11-27, December.
    20. Tomoki Fujii, 2016. "Concepts and measurement of vulnerability to poverty and other issues: a review of literature," Chapters, in: Jacques Silber & Guanghua Wan (ed.), The Asian ‘Poverty Miracle’, chapter 3, pages 53-83, Edward Elgar Publishing.

    More about this item

    Keywords

    Vulnerability as expected poverty; Lower Partial Moments; portfolio theory; diversification; Sub Saharan Africa;
    All these keywords.

    JEL classification:

    • I32 - Health, Education, and Welfare - - Welfare, Well-Being, and Poverty - - - Measurement and Analysis of Poverty
    • O13 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Agriculture; Natural Resources; Environment; Other Primary Products
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G32 - Financial Economics - - Corporate Finance and Governance - - - Financing Policy; Financial Risk and Risk Management; Capital and Ownership Structure; Value of Firms; Goodwill

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:han:dpaper:dp-434. 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: Heidrich, Christian (email available below). General contact details of provider: https://edirc.repec.org/data/fwhande.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.