Predicting hourly ozone concentrations using wavelets and ARIMA models

Ledys Salazar, Orietta Nicolis, Fabrizio Ruggeri, Jozef Kisel’ák, Milan Stehlík

Research output: Contribution to journalArticlepeer-review

19 Citations (Scopus)


In recent years, air pollution has been a major concern for its implications on human health. Specifically, ozone ((Formula presented.)) pollution is causing common respiratory diseases. In this paper, we illustrate the process of modeling and prediction hourly (Formula presented.) pollution measurements using wavelet transforms. We split the time series of (Formula presented.) in daily intervals and estimate scale and wavelet coefficients for each interval by the discrete wavelet transform (DWT) with Haar filter. Subsequently we apply cumulated autoregressive integrated moving average (ARIMA) to estimate the coefficients and forecast their evolution in future intervals. Then the inverse discrete wavelet transform is implemented for the reconstruction of the time series and the forecast in the near future. In order to assess the performance of the proposed methodology, we compare the predictions obtained by the DWT–ARIMA with those obtained by the ARIMA model. Several theoretical results are shown through a simulation study.

Original languageEnglish
Pages (from-to)1-10
Number of pages10
JournalNeural Computing and Applications
Issue number8
Publication statusAccepted/In press - 19 Jan 2018


  • Autoregressive integrated moving average (ARIMA)
  • Discrete wavelet transform (DWT)
  • Haar wavelet
  • Ozone ($$\mathrm{O}_{3}$$O3)

ASJC Scopus subject areas

  • Software
  • Artificial Intelligence


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