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The short-term forecasting of evaporation duct height (EDH) based on ARIMA model

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Abstract

The short-term prediction of EDH time series plays an exceedingly important role in several fields such as communications, navigation and so on. In this paper, an application of autoregressive integrated moving average (ARIMA) for short-term forecasting of EDH time series is presented. In order to obtain the EDH, a body of sensors such as air temperature, relative humidity and pressure sensors were installed at different height based on the tower platform. EDH was calculated according to Debye theory and a log-squares curve fit. The comparison showed that the predicted EDH values were in good agreement with the measured values. It also indicates that ARIMA provides promising results for short-term prediction of EDH in the experiment.

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References

  1. Akaike H (1974) A new look at the statistical model identification. IEEE Trans Autom Control 6:716–723

    Article  MathSciNet  MATH  Google Scholar 

  2. Anderson KD (1989) Radar measurements at 16.5 GHz in the oceanic evaporation duct. IEEE Trans Antennas Propag 37(1):100–106

    Article  Google Scholar 

  3. Babin SM, Young GS et al (1997) A new model of the oceanic evaporation duct. J Appl Meteorol 36(3):193–204

    Article  Google Scholar 

  4. Benmouiza K, Cheknane A (2016) Small-scale solar radiation forecasting using ARMA and nonlinear autoregressive neural network models. Theor Appl Climatol 124(3–4):945–958

    Article  Google Scholar 

  5. Brockwell JB, Davis RA (2002) Introduction to time series and forecasting. Springer, New York

    Book  MATH  Google Scholar 

  6. Burk SD, Thompson WT (1997) Mesoscale modeling of summertime refractive conditions in the southern California Bight. J Appl Meteorol 36(1):22–31

    Article  Google Scholar 

  7. Cheng YH, Zhao ZW et al (2012) Statistical analysis of the lower atmospheric ducts during monsoon period over the South China Sea. Chin J Radio Sci 27(2):268–274

    Google Scholar 

  8. Hodur RM (1997) The naval research laboratory’s coupled ocean/atmosphere mesoscale prediction system (COAMPS). Mon Weather Rev 125(7):1414–1430

    Article  Google Scholar 

  9. Jiao L, Zhang YG (2009) An evaporation duct prediction model coupled with the MM5. Acta Meteorol Sin 34(5):46–50

    Google Scholar 

  10. Kuligowaki RJ, Barros AP (1998) Experiments in short-term precipitation forecasting using artificial neural networks. Mon Weather Rev 126:470–482

    Article  Google Scholar 

  11. Kumar U, Jain VK (2010) ARIMA forecasting of ambient air pollutants (O 3, NO, NO 2, and CO). Stoch Env Res Risk A 24(5):751–760

    Article  Google Scholar 

  12. Ljung L (2002) System identification toolbox––for use with MATLAB, Version 5. The Mathworks, Inc., 3 Apple Hill Drive, Natick, MA, USA

  13. Mellit A, Pavan AM, Benghanem M (2013) Least squares support vector machine for short-term prediction of meteorological time series. Theor Appl Climatol 111(1–2):297–307

    Article  Google Scholar 

  14. Paulus RA (1985) Practical application of an evaporation duct model. Radio Sci 20(4):887–896

    Article  Google Scholar 

  15. Shumway RH, Stoffer DS (2006) Time series analysis and its applications––with R examples. Springer Science Business Media, LLC

  16. YARDIM C, GERSTOFT P, HODGKISS WS (2006) Estimation of radio refractivity from radar clutter using Bayesian Monte Carlo analysis. IEEE Trans Antennas Propag 54(4):1318–1327

    Article  Google Scholar 

  17. Zhang GP (2003) Time series forecasting using a hybrid ARIMA and neural network model. Neurocomputing 50(1):159–175

    Article  MATH  Google Scholar 

  18. Zhao XF (2012) Evaporation duct height estimation and source localization from field measurements at an array of radio receivers. IEEE Trans Antennas Propag 60(60):1020–1025

    Article  MathSciNet  MATH  Google Scholar 

  19. Zhao XF, Huang SX et al (2011) Theoretical analysis and numerical experiments of variational adjoint approach for refractivity estimation. Radio Sci 46(1):1–10

    Article  Google Scholar 

  20. Zuo L, Yao C et al (2011) Two optimization algorithms for inversing atmosphere refractivity profile from radar Sea clutter. Procedia Eng 15:2180–2185

    Article  Google Scholar 

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Acknowledgments

The authors wish to thank the State Key Laboratory of Precision Measuring Technology and Instruments for their helpful comments. This paper was written by Shaobo Yang and Sihui Liu. The experiment was designed by Xingfei Li. The data were analyzed by Xin He and Ying Zhong.

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Correspondence to Xingfei Li.

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The authors declare that they have no conflict of interest.

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This work was supported by National Nature Science Foundation of China (No.41405009)

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Yang, S., Liu, S., Li, X. et al. The short-term forecasting of evaporation duct height (EDH) based on ARIMA model. Multimed Tools Appl 76, 24903–24916 (2017). https://doi.org/10.1007/s11042-016-4143-2

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  • DOI: https://doi.org/10.1007/s11042-016-4143-2

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