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Sinusoidal Modeling Applied to Spatially Variant Tropospheric Ozone Air Pollution

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Abstract

This paper demonstrates how parsimonious models of sinusoidal functions can be used to fit spatially variant time series in which there is considerable variation of a periodic type. A typical shortcoming of such tools relates to the difficulty in capturing idiosyncratic variation in periodic models. The strategy developed here addresses this deficiency. While previous work has sought to overcome the shortcoming by augmenting sinusoids with other techniques, the present approach employs station-specific sinusoids to supplement a common regional component, which succeeds in capturing local idiosyncratic behavior in a parsimonious manner. The experiments conducted herein reveal that a semi-parametric approach enables such models to fit spatially varying time series with periodic behavior in a remarkably tight fashion. The methods are applied to a panel data set consisting of hourly air pollution measurements. The augmented sinusoidal models produce an excellent fit to these data at three different levels of spatial detail.

Suggested Citation

  • Nicholas Z. Muller & Peter C. B. Phillips, 2006. "Sinusoidal Modeling Applied to Spatially Variant Tropospheric Ozone Air Pollution," Cowles Foundation Discussion Papers 1548, Cowles Foundation for Research in Economics, Yale University.
  • Handle: RePEc:cwl:cwldpp:1548
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    File URL: http://cowles.yale.edu/sites/default/files/files/pub/d15/d1548.pdf
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    References listed on IDEAS

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    1. Hardle, Wolfgang & Linton, Oliver, 1986. "Applied nonparametric methods," Handbook of Econometrics,in: R. F. Engle & D. McFadden (ed.), Handbook of Econometrics, edition 1, volume 4, chapter 38, pages 2295-2339 Elsevier.
    2. Mark J. Dixon & Jonathan A. Tawn, 1999. "The Effect of Non-Stationarity on Extreme Sea-Level Estimation," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 48(2), pages 135-151.
    3. Hardle, Wolfgang & Linton, Oliver, 1986. "Applied nonparametric methods," Handbook of Econometrics,in: R. F. Engle & D. McFadden (ed.), Handbook of Econometrics, edition 1, volume 4, chapter 38, pages 2295-2339 Elsevier.
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    More about this item

    Keywords

    Air Pollution; Idiosyncratic component; Regional variation; Semiparametric model; Sinusoidal function; Spatial-temporal data; Tropospheric Ozone;

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models

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