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Aggregation in Area-Yield Crop Insurance: The Linear Additive Model

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  • Bharat Ramaswami
  • Terry L. Roe

Abstract

Previous analyses of area yield crop insurance have used a linear additive model (LAM) to express the relationship between individual and area yield. However, the theoretical foundations of the LAM are unknown. This shortcoming is addressed by establishing two conditions linking microvariables and LAM parameters. The conditions relate to the interaction of risks in individual technologies and the extent of aggregation. If systemic and individual risks are additive in individual yields, and if the law of large numbers hold, then the LAM obtains. This article also shows how departures from these conditions affect the results derived from a LAM analysis. Copyright 2004, Oxford University Press.

Suggested Citation

  • Bharat Ramaswami & Terry L. Roe, 2004. "Aggregation in Area-Yield Crop Insurance: The Linear Additive Model," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 86(2), pages 420-431.
    • Handle: RePEc:oup:ajagec:v:86:y:2004:i:2:p:420-431
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    File URL: http://hdl.handle.net/10.1111/j.0092-5853.2004.00588.x
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    Citations

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    Cited by:

    1. Phelippe-Guinvarc'h, Martial V. & Cordier, Jean E., 2006. "A private management strategy for the crop yield insurer: A theoretical approach and tests," Insurance: Mathematics and Economics, Elsevier, vol. 39(1), pages 35-46, August.
    2. Arias, Diego & Covarrubias, Katia, 2006. "Agricultural Insurance in Mesoamerica: An Opportunity to Deepen Rural Financial Markets," IDB Publications (Working Papers) 3042, Inter-American Development Bank.
    3. Diego Arias & Katia Covarrubias, 2006. "Agricultural Insurance in Mesoamerica: An Opportunity to Deepen Rural Financial Markets," IDB Publications (Working Papers) 36538, Inter-American Development Bank.
    4. Geoffroy Enjolras & Robert Kast & Patrick Sentis, 2009. "Diversification in Area-Yield Crop Insurance : The Multi Linear Additive Model," Working Papers 09-15, LAMETA, Universtiy of Montpellier, revised Nov 2009.
    5. Mitchell, Paul D. & Knight, Thomas O., 2008. "Economic Analysis of Supplemental Deductible Coverage as Recommended in the USDA's 2007 Farm Bill Proposal," Agricultural and Resource Economics Review, Cambridge University Press, vol. 37(1), pages 117-131, April.
    6. Mitchell, Paul D. & Knight, Thomas O., 2007. "Economic Analysis of Supplemental Deductible Coverage as Recommended in the USDA’s 2007 Farm Bill Proposal," Staff Papers 92125, University of Wisconsin-Madison, Department of Agricultural and Applied Economics.
    7. Carriquiry, Miguel A. & Babcock, Bruce A. & Hart, Chad E., 2008. "Using a Farmer's Beta for Improved Estimation of Expected Yields," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 33(1), pages 1-17, April.
    8. Negi, Digvijay S., 2018. "Tail-dependent Rainfall Risk and Demand for Index based Crop Insurance," 2018 Annual Meeting, August 5-7, Washington, D.C. 274481, Agricultural and Applied Economics Association.
    9. Robert Kast, 2011. "Managing financial risks due to natural catastrophes," Working Papers hal-00610241, HAL.
    10. Xuche Gong & David A. Hennessy & Hongli Feng, 2023. "Systemic risk, relative subsidy rates, and area yield insurance choice," American Journal of Agricultural Economics, John Wiley & Sons, vol. 105(3), pages 888-913, May.
    11. Geoffroy Enjolras & Robert Kast, 2012. "Combining participating insurance and financial policies," Agricultural Finance Review, Emerald Group Publishing Limited, vol. 72(1), pages 156-178, May.

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