Skip to main content
Log in

Non-linear time-varying stochastic models for agroclimate risk assessment

  • Published:
Environmental and Ecological Statistics Aims and scope Submit manuscript

Abstract

This work develops a model for minimum temperature in order to assess the weather related risk in agriculture industry. Non-linear autoregressive models with time-varying coefficients and volatility with various seasonal components and lags are compared in an appropriate model-selection algorithm using AIC. The optimal model is a time-varying autoregressive model which includes non-linear and seasonally-varying autoregressive terms as well as time-varying volatility. These models are then used to simulate future weather from which the probabilities of appropriate complex hazard events are estimated.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9

Similar content being viewed by others

References

  • Akaike H (1974) A new look at the statistical model identification. IEEE Trans Autom Control AC–19:716–723

    Article  Google Scholar 

  • Anderson PL, Meerschaert MM, Veccia AV (1999) Innovations algorithm for periodically stationary time series. Stoch Process Appl 83(1):149–169

    Article  Google Scholar 

  • Benth FE, Benth JS (2007) Volatility of temperature and pricing of weather derivatives. Quant Financ 7(5):553–561

    Article  Google Scholar 

  • Brockwell PJ, Davis RA (1991) Time series: theory and methods, 2nd edn. Springer, Berlin

    Book  Google Scholar 

  • De Livera AM, Hyndman RJ, Snyder Ralph D (2011) Forecasting time series with complex seasonal patterns using exponential smoothing. J Am Stat Assoc 106(496):1513–1527

    Article  Google Scholar 

  • Finley AO, Banerjee S, Ek AR, McRoberts RE (2008) Bayesian multivariate process modeling for prediction of forest attributes. J Agric Biol Environ Stat 13:60–83

    Article  Google Scholar 

  • Gladyshev EG (1961) Periodically correlated random sequences. Sov Math 2:351–358

    Google Scholar 

  • Hastie T, Tibshirani R, Friedman JH (2009) The elements of statistical learning, 2nd edn. Springer, Berlin

    Book  Google Scholar 

  • Hosseini A, Fallahnezhad MS, Zare-Mehrjardi Y, Hosseini R (2012) Seasonal autoregressive models for estimating the probability of frost in Rafsanjan. J Nuts Relat Sci 3(2):45–52

    Google Scholar 

  • Hosseini R, Le N, Zidek J (2012) Time-varying Markov models for binary temperature series in agrorisk management. J Agric Biol Ecol Stat 17(2):283–305

    Article  Google Scholar 

  • Hosseini R, Le N, Zidek J (2011) Selecting a binary Markov model for a precipitation process. Environ Ecol Stat 18(4):795–820

    Article  Google Scholar 

  • Jones RH, Brelsford WM (1967) Time series with periodic structure. Biometrika 54(3):403–8

    Article  CAS  PubMed  Google Scholar 

  • Kedem B, Fokianos K (2002) Regression models for time series analysis. Wiley Series in Probability and Statistics

  • Richards TJ, Manfredo MR, Sanders DR (2004) Pricing weather derivatives. Am J Agric Econ 86(4):1005–1017

    Article  Google Scholar 

  • Schwartz G (1978) Estimating the dimension of a model. Ann Stat 6:461–464

    Article  Google Scholar 

  • Tesfaye YG, Meerschaert MM, Anderson PL (2006) Identification of periodic autoregressive moving average models and their application to the modeling of river flows. Water Resour Res 42(1):W01419

    Article  Google Scholar 

  • Tong H (1990) Non-linear time series, a dynamical systems approach. Oxford University Press, Oxford

    Google Scholar 

  • Troutman BM (1979) Some results in periodic autoregression. Biometrika 66(2):219–228

    Article  Google Scholar 

  • Wang X, Smith KA, Hyndman RJ (2006) Characteristic-based clustering for time series data. Data Min Knowl Discov 13(3):335–364

    Article  Google Scholar 

Download references

Acknowledgments

We are indebted to Mr. Islami from Rafsanjan Weather Office for providing the data for this study. We are also thankful to Prof. Jim Zidek and Prof. Nhu Le for some fruitful discussions on the modeling and applications.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Reza Hosseini.

Additional information

Handling Editor: Pierre Dutilleul.

The first author was supported by research grants from the Japanese Society for Promotion of Science.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Hosseini, R., Takemura, A. & Hosseini, A. Non-linear time-varying stochastic models for agroclimate risk assessment. Environ Ecol Stat 22, 227–246 (2015). https://doi.org/10.1007/s10651-014-0295-2

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10651-014-0295-2

Keywords

Navigation