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Modelling spatiotemporal variability of temperature

Author

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  • Cao, Xiaofeng
  • Okhrin, Ostap
  • Odening, Martin
  • Ritter, Matthias

Abstract

Forecasting temperature in time and space is an important precondition for both the design of weather derivatives and the assessment of the hedging effectiveness of index based weather insur-ance. In this article, we show how this task can be accomplished by means of Kriging techniques. Moreover, we compare Kriging with a dynamic semiparametric factor model (DSFM) that has been recently developed for the analysis of high dimensional financial data. We apply both methods to comprehensive temperature data covering a large area of China and assess their performance in terms of predicting a temperature index at an unobserved location. The results show that the DSFM performs worse than standard Kriging techniques. Moreover, we show how geographic basis risk inherent to weather derivatives can be mitigated by regional diversification.

Suggested Citation

  • Cao, Xiaofeng & Okhrin, Ostap & Odening, Martin & Ritter, Matthias, 2014. "Modelling spatiotemporal variability of temperature," SFB 649 Discussion Papers 2014-020, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
  • Handle: RePEc:zbw:sfb649:sfb649dp2014-020
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    References listed on IDEAS

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    1. Ostap Okhrin & Martin Odening & Wei Xu, 2013. "Systemic Weather Risk and Crop Insurance: The Case of China," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 80(2), pages 351-372, June.
    2. Matthias R. Fengler & Wolfgang K. Härdle & Enno Mammen, 0. "A semiparametric factor model for implied volatility surface dynamics," Journal of Financial Econometrics, Oxford University Press, vol. 5(2), pages 189-218.
    3. Nicholas D. Paulson & Chad E. Hart & Dermot J. Hayes, 2010. "A spatial Bayesian approach to weather derivatives," Agricultural Finance Review, Emerald Group Publishing Limited, vol. 70(1), pages 79-96, May.
    4. Paulson, Nicholas D. & Hart, Chad E., 2006. "A Spatial Approach to Addressing Weather Derivative Basis Risk: A Drought Insurance Example," 2006 Annual meeting, July 23-26, Long Beach, CA 21249, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    5. M. Ritter & O. Mußhoff & M. Odening, 2014. "Minimizing Geographical Basis Risk of Weather Derivatives Using A Multi-Site Rainfall Model," Computational Economics, Springer;Society for Computational Economics, vol. 44(1), pages 67-86, June.
    6. Sean D. Campbell & Francis X. Diebold, 2005. "Weather Forecasting for Weather Derivatives," Journal of the American Statistical Association, American Statistical Association, vol. 100, pages 6-16, March.
    7. Joshua D. Woodard & Philip Garcia, 2008. "Basis risk and weather hedging effectiveness," Agricultural Finance Review, Emerald Group Publishing Limited, vol. 68(1), pages 99-117, May.
    8. Härdle, Wolfgang Karl & López Cabrera, Brenda & Okhrin, Ostap & Wang, Weining, 2010. "Localising temperature risk," SFB 649 Discussion Papers 2011-001, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    9. Jonathan R. Stroud & Peter Müller & Bruno Sansó, 2001. "Dynamic models for spatiotemporal data," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 63(4), pages 673-689.
    10. Unknown, 2008. "Institute of Agricultural Economics," Economics of Agriculture, Institute of Agricultural Economics, vol. 55(3).
    11. Zhiwei Shen & Martin Odening, 2013. "Coping with systemic risk in index-based crop insurance," Agricultural Economics, International Association of Agricultural Economists, vol. 44(1), pages 1-13, January.
    12. Jerry R. Skees & Barry J. Barnett & Anne G. Murphy, 2008. "Creating insurance markets for natural disaster risk in lower income countries: the potential role for securitization," Agricultural Finance Review, Emerald Group Publishing Limited, vol. 68(1), pages 151-167, May.
    13. Choros-Tomczyk, Barbara & Härdle, Wolfgang Karl & Okhrin, Ostap, 2013. "CDO surfaces dynamics," SFB 649 Discussion Papers 2013-032, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    14. Šaltytė Benth, Jūratė & Benth, Fred Espen, 2012. "A critical view on temperature modelling for application in weather derivatives markets," Energy Economics, Elsevier, vol. 34(2), pages 592-602.
    15. Wolfgang Karl Härdle & Brenda López Cabrera & Ostap Okhrin & Weining Wang, 2016. "Localizing Temperature Risk," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 111(516), pages 1491-1508, October.
    16. World Bank, 2005. "Managing Agricultural Production Risk : Innovations in Developing Countries," World Bank Publications - Reports 14434, The World Bank Group.
    17. Fred Espen Benth & Jurate Saltyte-Benth, 2005. "Stochastic Modelling of Temperature Variations with a View Towards Weather Derivatives," Applied Mathematical Finance, Taylor & Francis Journals, vol. 12(1), pages 53-85.
    18. Enzo Giacomini & Wolfgang Härdle & Volker Krätschmer, 2009. "Dynamic semiparametric factor models in risk neutral density estimation," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 93(4), pages 387-402, December.
    19. World Bank, 2005. "Managing Agricultural Production Risk : Innovations in Developing Countries," World Bank Publications - Reports 8797, The World Bank Group.
    20. Xiaohui Deng & Barry J. Barnett & Dmitry V. Vedenov & Joe W. West, 2007. "Hedging dairy production losses using weather‐based index insurance," Agricultural Economics, International Association of Agricultural Economists, vol. 36(2), pages 271-280, March.
    21. Barry J. Barnett & Olivier Mahul, 2007. "Weather Index Insurance for Agriculture and Rural Areas in Lower-Income Countries," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 89(5), pages 1241-1247.
    22. Mario Miranda & Dmitry V. Vedenov, 2001. "Innovations in Agricultural and Natural Disaster Insurance," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 83(3), pages 650-655.
    23. Song, Song & Härdle, Wolfgang Karl & Ritov, Ya'acov, 2010. "High dimensional nonstationary time series modelling with generalized dynamic semiparametric factor model," SFB 649 Discussion Papers 2010-039, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    24. Borak, Szymon & Härdle, Wolfgang Karl & Mammen, Enno & Park, Byeong U., 2007. "Time series modelling with semiparametric factor dynamics," SFB 649 Discussion Papers 2007-023, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    25. Park, Byeong U. & Mammen, Enno & Härdle, Wolfgang & Borak, Szymon, 2009. "Time Series Modelling With Semiparametric Factor Dynamics," Journal of the American Statistical Association, American Statistical Association, vol. 104(485), pages 284-298.
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    Cited by:

    1. Monbet, Valérie & Ailliot, Pierre, 2017. "Sparse vector Markov switching autoregressive models. Application to multivariate time series of temperature," Computational Statistics & Data Analysis, Elsevier, vol. 108(C), pages 40-51.
    2. Ostap Okhrin & Stefan Trück, 2015. "Editorial to the special issue on Applicable semiparametrics of computational statistics," Computational Statistics, Springer, vol. 30(3), pages 641-646, September.

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    More about this item

    Keywords

    weather insurance; semiparametric model; factor model; Kriging; geographic basis risk;
    All these keywords.

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C53 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Forecasting and Prediction Models; Simulation Methods
    • G32 - Financial Economics - - Corporate Finance and Governance - - - Financing Policy; Financial Risk and Risk Management; Capital and Ownership Structure; Value of Firms; Goodwill

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