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Modeling Dependence Dynamics of Air Pollution: Time Series Analysis Using a Copula Based GARCH Type Model

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Uncertainty Analysis in Econometrics with Applications

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 200))

Abstract

This paper investigates the dependence structure between the Air Pollution Index (API) of Shenzhen and corresponding regional, national levels based on copula based GARCH models. In particular, time varying normal copula and time varying SJC copula are compared and employed to model the dependence structure. Comparison with the results of DCC-GARCH model is made. We find that there exists significant asymmetric upper and lower tail dependence between Shenzhen and regional, national levels; tail dependence captures the change in dependence better; dependence structure change across time. Our findings have implications for environmental management.

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References

  1. Bollerslev, T., Engle, R.F., Wooldridge, J.M.: A capital asset pricing model with time varying Covariances. Journal of Political Economy 96, 116–131 (1988)

    Article  Google Scholar 

  2. Bollerslev, T.: Modeling the coherence in Short-run Nominal Exchange Rates: A Multivariate Generalized ARCH model. Review of Economics and Statistics 72, 498–505 (1990)

    Article  Google Scholar 

  3. Liu, C.-M., Young, C.-Y., Lee, Y.-C.: Influence of Asian dust storms on air quality in Taiwan. Science of the Total Environment 368, 884–897 (2006)

    Article  Google Scholar 

  4. Nelson, D.B.: Conditional Heteroskedasticity in Asset Returns: A New Approach. Econometrica 59(2), 347–370 (1991)

    Article  MathSciNet  MATH  Google Scholar 

  5. Engle, R., Kroner, F.: Multivariate simultaneous generalized ARCH. Econometric Theory 11, 122–150 (1995)

    Article  MathSciNet  Google Scholar 

  6. Engle, R.F.: Theoretical and Empirical Properties of Dynamic Conditional Correlation Multivariate GARCH, http://weber.ucsd.edu/~ksheppar/research

  7. Engle: Dynamic conditional correlation: asimple class of multivariate generalized autoregressive conditional heteroskedasticity models. J. Business Econ. Stat. 20, 339–350 (2002)

    Article  MathSciNet  Google Scholar 

  8. Cousin, F., Tulet, P., Rosset, R.: Interaction between local and regional pollution during Escompte 2001: impact on surface ozone concentrations (IOP2a and 2b). Atmospheric Research 74, 117–137 (2005)

    Article  Google Scholar 

  9. Xiao, F., Brajer, V., Mead, R.W.: Blowing in the wind: The impact of China’s Pearl River Delta on Hong Kong’s air quality. Science of the Total Environment 367, 96–111 (2006)

    Article  Google Scholar 

  10. Glosten, Lawrence, R., Jagannathan, et al.: On the Relation between the Expected Value and the Volatility of the Nominal Excess Return on Stocks. Journal of Finance, American Finance Association 48(5), 1779–1801 (1993)

    Google Scholar 

  11. Fang, G.-C., Chang, S.-C.: Atmospheric particulate (PM10 and PM2.5) mass concentration and seasonal variation study in the Taiwan area during 2000–2008. Atmospheric Research 98, 368–377 (2010)

    Article  Google Scholar 

  12. Jondeau, E., Rockinger, M.: The copula GARCH model of conditional dependencies: an international stock market application. Journal of International Money and Finance 25, 827–853 (2006)

    Article  Google Scholar 

  13. Longmore, R., Robinson, W.: Modelling and Forecasting Exchange Rate Dynamics: An Application of Asymmetric Volatility Models. Bank of Jamaica. Working Paper WP 2004/03 (2004)

    Google Scholar 

  14. Nelsen, R.B.: An Introduction to Copulas, 2nd edn. Springer, New York (2006)

    MATH  Google Scholar 

  15. Patton, A.J.: Modelling Asymmetric Exchange Rate Dependence. International Economic Review 47, 527–556 (2006a)

    Article  MathSciNet  Google Scholar 

  16. Miller, P.J., Grumet, J.: Bi-national and regional issues in air quality science and policy. Environmental Science & Policy 1, 223–230 (1998)

    Article  Google Scholar 

  17. Hoti, S., McAleer, M., Chan, F.: Modelling the spillover effects in the volatility of atmospheric carbon dioxide concentrations. Mathematics and Computers in Simulation 69, 46–56 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  18. Holloway, T., Sakurai, T., Han, Z., et al.: MICS-Asia II: Impact of global emissions on regional air quality in Asia. Atmospheric Environment 42, 3543–3561 (2008)

    Article  Google Scholar 

  19. Lee, Y.C., Yang, X., Wenig, M.: Transport of dusts from East Asian and non-East Asian sources to Hong Kong during dust storm related events 1996-2007. Atmospheric Environment 44, 3728–3738 (2010)

    Article  Google Scholar 

  20. Zhang, Y., Olsen, S.C., Dubey, M.K.: WRF/Chem simulated springtime impact of rising Asian emissions on air quality over the U.S. Atmospheric Environment 44, 2799–2812 (2010)

    Article  Google Scholar 

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Correspondence to He Zhanqiong .

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Zhanqiong, H., Sriboonchitta, S., Jing, D. (2013). Modeling Dependence Dynamics of Air Pollution: Time Series Analysis Using a Copula Based GARCH Type Model. In: Huynh, VN., Kreinovich, V., Sriboonchitta, S., Suriya, K. (eds) Uncertainty Analysis in Econometrics with Applications. Advances in Intelligent Systems and Computing, vol 200. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35443-4_15

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  • DOI: https://doi.org/10.1007/978-3-642-35443-4_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-35442-7

  • Online ISBN: 978-3-642-35443-4

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