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Spatio-Temporal Modeling Of Agricultural Yield Data With An Application To Pricing Crop Insurance Contracts

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  • Ozaki, Vitor Augusto
  • Ghosh, Sujit K.
  • Goodwin, Barry K.
  • Shirota, Ricardo

Abstract

This article focuses on the modeling of agricultural yield data using hierarchical Bayesian models. In recovering the generating process of these data, we consider the temporal, spatial and spatio-temporal relationships pertinent to the prediction and pricing of insurance contracts based on regional crop yields. A county-average yield data set was analyzed for the State of Paraná, Brazil for the period of 1990 through 2002. The choice of the best model from among the several non-nested models considered was based on the posterior predictive criterion. The methodology used in this article proposes improvements in the statistical and actuarial methods often applied to the calculation of insurance premium rates. These improvements are especially relevant to situations of limited data. These conditions are frequently encountered, especially at the individual level.

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  • Ozaki, Vitor Augusto & Ghosh, Sujit K. & Goodwin, Barry K. & Shirota, Ricardo, 2005. "Spatio-Temporal Modeling Of Agricultural Yield Data With An Application To Pricing Crop Insurance Contracts," 2005 Annual meeting, July 24-27, Providence, RI 19142, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    • Handle: RePEc:ags:aaea05:19142
    DOI: 10.22004/ag.econ.19142
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    1. Awondo, Sebastain Nde & Datta, Gauri S. & Ramirez, Octavio A. & Fonsah, Esendugue Greg, 2012. "Estimation of crop yield distribution and Insurance Premium using Shrinkage Estimator: A Hierarchical Bayes and Small Area Estimation Approach," 2012 Annual Meeting, August 12-14, 2012, Seattle, Washington 126778, Agricultural and Applied Economics Association.
    2. Chen, Shu-Ling & Miranda, Mario J., 2008. "Modeling Texas Dryland Cotton Yields, With Application to Crop Insurance Actuarial Rating," Journal of Agricultural and Applied Economics, Southern Agricultural Economics Association, vol. 40(1), pages 1-14, April.
    3. Yingmei Tang & Huifang Cai & Rongmao Liu, 2022. "Will marketing strategies affect farmers’ preferences and willingness to pay for catastrophe insurance? Evidence from a choice experiment in China," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 24(1), pages 1376-1389, January.
    4. Hennessy, David A., 2009. "Crop Yield Skewness and the Normal Distribution," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 34(1), pages 1-19, April.
    5. Ozaki, Vitor & Campos, Rogério, 2017. "Reduzindo a Incerteza no Mercado de Seguros: Uma Abordagem via Informações de Sensoriamento Remoto e Atuária," Revista Brasileira de Economia - RBE, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil), vol. 71(4), December.
    6. Girante, Maria Joana & Goodwin, Barry K., 2009. "The Acreage and Borrowing Effects of Direct Payments Under Uncertainty: A Simulation Approach," 2009 Annual Meeting, July 26-28, 2009, Milwaukee, Wisconsin 49349, Agricultural and Applied Economics Association.
    7. Hainaut, Donatien, 2018. "Hedging of crop harvest with derivatives on temperature," LIDAM Discussion Papers ISBA 2018012, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
    8. Jean-Sauveur Ay, 2015. "Information sur l’hétérogénéité de la terre et délégation de la régulation foncière," Revue d'économie politique, Dalloz, vol. 125(3), pages 453-474.
    9. Park, Eunchun & Harri, Ardian & Coble, Keith H., 2022. "Estimating Crop Yield Densities for Counties with Missing Data," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 47(3), September.
    10. Niyibizi, Bart & Brorsen, Wade & Park, Eunchun, 2018. "Using Bayesian Kriging for Spatial Smoothing of Trends in the Means and Variances of Crop Yield Densities," 2018 Annual Meeting, August 5-7, Washington, D.C. 274403, Agricultural and Applied Economics Association.
    11. Bokusheva, Raushan & Breustedt, Gunnar, 2012. "The Effectiveness of Weather-Based Index Insurance and Area-Yield Crop Insurance: How Reliable are ex post Predictions for Yield Risk Reduction?," Quarterly Journal of International Agriculture, Humboldt-Universitaat zu Berlin, vol. 51(2), pages 1-22, May.
    12. Ramsey, A., 2018. "Conditional Distributions of Crop Yields: A Bayesian Approach for Characterizing Technological Change," 2018 Conference, July 28-August 2, 2018, Vancouver, British Columbia 277253, International Association of Agricultural Economists.
    13. Wang, Xin & Lim, Michael K. & Ouyang, Yanfeng, 2015. "Infrastructure deployment under uncertainties and competition: The biofuel industry case," Transportation Research Part B: Methodological, Elsevier, vol. 78(C), pages 1-15.
    14. A Ford Ramsey, 2020. "Probability Distributions of Crop Yields: A Bayesian Spatial Quantile Regression Approach," American Journal of Agricultural Economics, John Wiley & Sons, vol. 102(1), pages 220-239, January.
    15. Shen, Zhiwei, 2016. "Adaptive local parametric estimation of crop yields: implication for crop insurance ratemaking," 156th Seminar, October 4, 2016, Wageningen, The Netherlands 249984, European Association of Agricultural Economists.
    16. Qing Sun & Zaiqiang Yang & Xianghong Che & Wei Han & Fangmin Zhang & Fang Xiao, 2018. "Pricing weather index insurance based on artificial controlled experiment: a case study of cold temperature for early rice in Jiangxi, China," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 91(1), pages 69-88, March.
    17. Hainaut, Donatien, 2019. "Hedging of crop harvest with derivatives on temperature," Insurance: Mathematics and Economics, Elsevier, vol. 84(C), pages 98-114.
    18. Chen, Shu-Ling & Miranda, Mario J., 2006. "Modeling Yield Distribution In High Risk Counties: Application To Texas Upland Cotton," 2006 Annual meeting, July 23-26, Long Beach, CA 21392, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    19. Diao Panpan & Zhang Zhonggen, 2015. "Premium Rate Design and Risk Regionalization for the Policy-Based Wheat Insurance of Henan Province in China," Asia-Pacific Journal of Risk and Insurance, De Gruyter, vol. 9(2), pages 203-229, July.
    20. Maria Joana Girante & Barry K. Goodwin, 2009. "The Acreage and Borrowing Effects ok Direct Payments Under Uncertainty: A Simulation," NIPE Working Papers 14/2009, NIPE - Universidade do Minho.
    21. Ghahremanzadeh, Mohammad & Mohammadrezaei, Rassul & Dashti, Ghader & Ainollahi, Moharram, 2018. "Designing a whole-farm revenue insurance for agricultural crops in Zanjan province of Iran," Economia Agraria y Recursos Naturales, Spanish Association of Agricultural Economists, vol. 17(02), January.

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