Skip to main content

Subsampling Methodology for the Analysis of Nonlinear Atmospheric Time Series

  • Chapter
Nonlinear Time Series Analysis in the Geosciences

Part of the book series: Lecture Notes in Earth Sciences ((LNEARTH,volume 112))

Abstract

This contribution addresses the problem of obtaining reliable statistical inference from meteorological and climatological records. The common practice is to choose a linear model for the time series, then compute confidence intervals (CIs) for its parameters based on the estimated model. It is demonstrated that such CIs may become misleading when the underlying data generating mechanism is nonlinear, while the computer intensive subsampling method provides an attractive alternative (including situations when linear models are entirely out of place, e.g., when constructing CIs for the skewness).

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. M. Ghil, M.R. Allen, M.D. Dettinger, et al., Advanced spectral methods for climate time series. Rev. Geophys., 40, Art. No. 1003 (2002)

    Google Scholar 

  2. M. Lesieur, Turbulence in Fluids, 3rd ed., Kluwer, Dordrecht (1997)

    Google Scholar 

  3. A. Maurizi, On the dependence of third- and fourth moments on stability in the turbulent boundary layer. Nonlin. Processes Geophys., 13, 119–123 (2006)

    Google Scholar 

  4. R.W. Katz, Techniques for estimating uncertainty in climate change scenarious and impact studies. Clim. Res., 20, 167–185 (2002)

    Article  Google Scholar 

  5. R.W. Katz, M.B. Parlange, P. Naveau, Statistics of extremes in hydrology. Adv. Water Resour., 25, 1287–1304 (2002)

    Article  Google Scholar 

  6. B. Efron, R. Tibshirani, An Introduction to the Bootstrap, Chapman and Hall, London (1993)

    Google Scholar 

  7. A.C. Davison, D.V. Hinkley, Bootstrap methods and their application, Cambridge University Press, Cambridge (1997)

    Google Scholar 

  8. D.N. Politis, J.P. Romano, M. Wolf, Subsampling, Springer, New York (1999)

    Google Scholar 

  9. S.N. Lahiri, Resampling Methods for Dependent Data, Springer, New York (2003)

    Google Scholar 

  10. R.R. Wilcox, Applying Contemporary Statistical Techniques, Academic Press, San Diego (2003)

    Google Scholar 

  11. A. Gluhovsky, E. Agee, On the analysis of atmospheric and climatic time series. J. Appl. Meteorol. Climatol., 46, 1125–1129 (2007)

    Article  Google Scholar 

  12. E.M. Agee, S.R. Gilbert, An aircraft investigation of mesoscale convection over Lake Michigan during the 10 January 1984 cold air outbreak. J. Atmos. Sci., 46, 1877–1897 (1989)

    Article  Google Scholar 

  13. A. Gluhovsky, E. Agee, A definitive approach to turbulence statistical studies in planetary boundary layers. J. Atmos. Sci., 51, 1682–1690 (1994)

    Article  Google Scholar 

  14. A. Gluhovsky, M. Zihlbauer, D.N. Politis, Subsampling confidence intervals for parameters of atmospheric time series: block size choice and calibration. J. Stat. Comput. Simul., 75, 381–389 (2005)

    Article  Google Scholar 

  15. J. Fan, Q. Yao, Nonlinear Time Series, Springer, New York (2003)

    Google Scholar 

  16. D.H. Lenschow, J. Mann, L. Kristensen, How long is long enough when measuring fluxes and other turbulence statistics. J. Atmos. Oceanic Tech., 11, 661–673 (1994)

    Article  Google Scholar 

  17. H. von Storch, F.W. Zwiers, Statistical Analysis in Climate Research, Cambridge University Press, Cambridge (1999)

    Google Scholar 

  18. D.B. Percival, J.E. Overland, H.O. Mofjeld, Modeling North Pacific climate time series. In: D.R. Brillinger, E.A. Robinson, F.P. Schoenberg (eds.), Time Series Analysis and Applications to Geophysical Systems, Springer, New York, 151–167 (2004)

    Google Scholar 

  19. M.B. Priestley, Spectral Analysis and Time Series, Academic Press, San Diego (1981)

    Google Scholar 

  20. J. Theiler, S. Eubank, Don’t bleach chaotic data. Chaos, 3, 771–782 (1993)

    Article  Google Scholar 

  21. D.N. Politis, J.P. Romano, A circular block-resampling procedure for stationary data. In: R. LePage, L. Billard (eds.), Exploring the Limits of Bootstrap, Wiley, New York, 263–270 (1992)

    Google Scholar 

  22. R.H. Shumway, D.S. Stoffer, Time Series Analysis and Its Applications, Springer, New York (2000)

    Google Scholar 

  23. P. Bloomfield, Trends in global temperature. Climatic Change, 21, 1–16 (1992)

    Article  Google Scholar 

  24. P.F. Craigmile, P.Guttorp, D.B, Percival, Trend assessment in a long memory dependence model using the discrete wavelet transform. Environmetrics, 15, 313–335 (2004)

    Google Scholar 

  25. S.I. Resnick, Heavy-Tail Phenomena: Probabilistic and Statistical Modeling, Springer, New York (2007)

    Google Scholar 

  26. M. Kallache, H.W. Rust, J. Kropp, Trend assessment: applications for hydrology and climate research. Nonlin. Processes Geophys., 12, 201–210 (2005)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Gluhovsky, A. (2008). Subsampling Methodology for the Analysis of Nonlinear Atmospheric Time Series. In: Donner, R.V., Barbosa, S.M. (eds) Nonlinear Time Series Analysis in the Geosciences. Lecture Notes in Earth Sciences, vol 112. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-78938-3_1

Download citation

Publish with us

Policies and ethics