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Linear and segmented trends in sea surface temperature data

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  • Luis A. Gil-Alana

Abstract

This paper deals with the analysis of the MET Office Hadley Centre's sea surface temperature data set (HadSST3) by using long-range dependence techniques. We incorporate linear and segmented trends using fractional integration, and thus permitting long memory behavior in the detrended series. The results indicate the existence of warming trends in the three series examined (Northern and Southern Hemispheres along with global temperatures), with orders of integration which are in the range (0.5, 1) and thus implying nonstationary long memory and mean reverting behavior. This is innovative compared with other works that assume short memory behavior in the detrended series. Allowing for segmented trends two features are observed: increasing values in the degree of dependence of the series across time and significant warming trends from 1940 onwards.

Suggested Citation

  • Luis A. Gil-Alana, 2015. "Linear and segmented trends in sea surface temperature data," Journal of Applied Statistics, Taylor & Francis Journals, vol. 42(7), pages 1531-1546, July.
  • Handle: RePEc:taf:japsta:v:42:y:2015:i:7:p:1531-1546
    DOI: 10.1080/02664763.2014.1001328
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    References listed on IDEAS

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    4. Luis A. Gil-Alana, 2008. "Time trend estimation with breaks in temperature time series," Faculty Working Papers 09/08, School of Economics and Business Administration, University of Navarra.
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    6. N. H. Saji & B. N. Goswami & P. N. Vinayachandran & T. Yamagata, 1999. "A dipole mode in the tropical Indian Ocean," Nature, Nature, vol. 401(6751), pages 360-363, September.
    7. Craig Loehle, 2009. "Trend Analysis of Satellite Global Temperature Data," Energy & Environment, , vol. 20(7), pages 1087-1098, November.
    8. Terence C. Mills, 2007. "Time series modelling of two millennia of northern hemisphere temperatures: long memory or shifting trends?," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 170(1), pages 83-94, January.
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    Cited by:

    1. M. Azimmohseni & M. Khalafi & M. Kordkatuli, 2019. "Time series analysis of covariance based on linear transfer function models," Statistical Inference for Stochastic Processes, Springer, vol. 22(1), pages 1-16, April.
    2. Guglielmo Maria Caporale & Luis A. Gil-Alana & Laura Sauci, 2020. "US Sea Level Data: Time Trends and Persistence," CESifo Working Paper Series 8274, CESifo.

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