Agric. Econ. - Czech, 2016, 62(3):113-123 | DOI: 10.17221/10/2015-AGRICECON
Dynamic modelling in loss frequency and severity estimated: Evidence from the agricultural rice loss due to typhoons in TaiwanOriginal Paper
- Department of Risk Management and Insurance, National Kaohsiung First University of Science and Technology, Kaohsiung City, Taiwan
The paper first adopt the BDS test to show that the BDS statistics of the time series of typhoons is a chaotic behaviour while the associated rice damage is random. The authors' investigations show that the time series of typhoons and rice damages are described by nonlinear. The result of the assessment shows that the model based on the AR(1)-GARCH(1,1) model is the best performing model in describing the rice loss severity due to typhoons and may have a chaotic behaviour if the variation of parameters is large enough. The best forecasting models in loss frequency with chaotic and severity predictions with random walk are superior to the best forecasting models in the current traditional or official estimated. This paper find that the fitting insurance price decision process by the loss cost charged in our method is different from the actuarial premium approaches of comparing evaluating effectiveness under the non-crop insurance program.
Keywords: BDS statistics, chaotic behaviour, logistic and exponential smooth transition autoregressive models
Published: March 31, 2016 Show citation
References
- Adams R.M., Hurd B.H., Lenhart S., Leary N. (1998): Effects of global climate change on agriculture: an interpretative review. Climate Research, 11: 19-30.
Go to original source...
- Aggarwal P.K., Kalra N., Chander S.H., Pathak H. (2006): Info crop: a dynamic simulation model for the assessment of crop yields losses due to pests, and environmental impact of agro-ecosystems in tropical environments. Agricultural Systems, 89: 1-25.
Go to original source...
- Antonio K., Beirlant J (2007): Actuarial statistics with generalized linear mixed models. Insurance: Mathematics and Economic, 40: 58-76.
Go to original source...
- Brock W., Dechert D., Scheinkman J. (1987): A test for independence based on the correlation dimension. Social Science Research WP No. 8762, University of WisconsinMadison. Economic Review, 15: 197-235.
Go to original source...
- Chang C.C. (2002): The potential impact of climate change on Taiwan's agriculture. Agricultural Economics, 27: 51-64.
Go to original source...
- Chatrath A., Adrangi B., Dhanda K.K. (2002): Are commodity prices chaotic? Agricultural Economics, 27: 123-137.
Go to original source...
- Dickey D.A., Fuller W.A. (1979): Distribution of the estimations for autoregressive time series with a unit root. Journal of the American Statistic Association, 74: 427-431.
Go to original source...
- Dickey D.A., Fuller W.A. (1981): Likelihood ratio statistics for autoregressive time series with a unit root. Journal of the American Statistic Association, 49: 1057-1072.
Go to original source...
- Food and Agriculture Organization of the United Nations (2013): Available at http://www.fao.org (accessed 2 August 2015).
- Grassberger P., Procaccia I. (1983): Measuring the strangeness of strange attractors. Physica D9: 189-208.
Go to original source...
- Hurst H.E. (1951): Long-term storage capacity of reservoirs. Transactions of the American Society of Civil Engineers, 116: 770-808.
Go to original source...
- Hurst H.E. (1957): A suggested statistical model of some time series which occur in nature. Natural, 180: 494.
Go to original source...
- Kim H.S., Kang D.S., Kim J.H. (2003): The BDS statistic and residual test. Stochastic Environmental Research and Risk Assessment, 17: 104-115.
Go to original source...
- Lai L.H. (2010): Risk estimate of rice damaged due to flood. Nonlinear Analysis: Real World Applications, 11: 1243-1248.
Go to original source...
- LeBaron B. (1996): A test for independence based on correlation dimension. Economic Review, 15: 197-235.
Go to original source...
- Luo Y., Teng P.S., Fabellar N.G., TeBeest D.O. (1998): Risk analysis of yield losses caused by rice leaf blast associated with temperature changes above and below for five Asian countries. Agricultural Ecosystems Environment, 68: 197-205.
Go to original source...
- Phillips P.C., Perron, P. (1988): Testing for a unit root in time series regression. Biometrica, 75: 335-346.
Go to original source...
- Vávrová E. (2005): The Czech agricultural insurance market and a prediction of its development in the context of the European Union. Agricultural Economics - Czech, 51: 531-538.
Go to original source...
- Yun J.I. (2003): Predicting regional rice production in South Korea using spatial data and crop-growth modeling. Agricultural Systems, 77: 23-38.
Go to original source...
This is an open access article distributed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International (CC BY NC 4.0), which permits non-comercial use, distribution, and reproduction in any medium, provided the original publication is properly cited. No use, distribution or reproduction is permitted which does not comply with these terms.