Revisiting Climate Region Definitions via Clustering

Robert Lund Department of Mathematical Sciences, Clemson University, Clemson, South Carolina

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Bo Li Department of Statistics, Purdue University, West Lafayette, Indiana

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Abstract

This paper introduces a new distance metric that enables the clustering of general climatic time series. Clustering methods have been frequently used to partition a domain of interest into distinct climatic zones. However, previous techniques have neglected the time series (autocorrelation) component and have also handled seasonal features in a suboptimal way. The distance proposed here incorporates the seasonal mean and autocorrelation structures of the series in a natural way; moreover, trends and covariate effects can be considered. As an important by-product, the methods can be used to statistically assess whether two stations can serve as reference stations for one another. The methods are illustrated by partitioning 292 weather stations within the state of Colorado into six different zones.

Corresponding author address: Robert Lund, Department of Mathematical Sciences, Clemson University, Clemson, SC 29634-0975. Email: lund@clemson.edu

Abstract

This paper introduces a new distance metric that enables the clustering of general climatic time series. Clustering methods have been frequently used to partition a domain of interest into distinct climatic zones. However, previous techniques have neglected the time series (autocorrelation) component and have also handled seasonal features in a suboptimal way. The distance proposed here incorporates the seasonal mean and autocorrelation structures of the series in a natural way; moreover, trends and covariate effects can be considered. As an important by-product, the methods can be used to statistically assess whether two stations can serve as reference stations for one another. The methods are illustrated by partitioning 292 weather stations within the state of Colorado into six different zones.

Corresponding author address: Robert Lund, Department of Mathematical Sciences, Clemson University, Clemson, SC 29634-0975. Email: lund@clemson.edu

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  • Bengtsson, T., and J. E. Cavanaugh, 2008: State-space discrimination and clustering of atmospheric time series data based on Kullback information measures. Environmetrics, 19 , 103–121.

    • Search Google Scholar
    • Export Citation
  • Boets, J., K. DeCock, M. Espnioza, and B. DeMoor, 2005: Clustering time series, subspace identification, and cepstral distances. Commun. Inf. Syst., 5 , 69–96.

    • Search Google Scholar
    • Export Citation
  • Böhm, R., I. Auer, M. Brunetti, M. Maugeri, T. Nanni, and W. Schöner, 2001: Regional temperature variability in the European Alps: 1760–1988 from homogenized instrumental records. Int. J. Climatol., 21 , 1779–1801.

    • Search Google Scholar
    • Export Citation
  • Brockwell, P. J., and R. A. Davis, 1991: Time Series: Theory and Methods. 2nd ed. Springer-Verlag, 577 pp.

  • Bunkers, M. J., J. R. Miller Jr., and A. T. DeGaetano, 1996: Definition of climate regions in the northern plains using an objective cluster modification technique. J. Climate, 9 , 130–146.

    • Search Google Scholar
    • Export Citation
  • Calinski, R. B., and J. Harabasz, 1974: A dendrite method for cluster analysis. Commun. Stat., 3 , 1–27.

  • Coates, D. S., and P. J. Diggle, 1986: Tests for comparing two estimated spectral densities. J. Time Ser. Anal., 7 , 7–20.

  • Cochrane, D., and G. H. Orcutt, 1949: Application of least squares regression to relationships containing auto-correlated error terms. J. Amer. Stat. Assoc., 44 , 32–61.

    • Search Google Scholar
    • Export Citation
  • Davis, R. E., and D. R. Walker, 1992: An upper-air synoptic climatology of the western United States. J. Climate, 5 , 1449–1467.

  • DeGaetano, A. T., 1996: Delineation of mesoscale climate zones in the northeastern United States using a novel approach to cluster analysis. J. Climate, 9 , 1765–1782.

    • Search Google Scholar
    • Export Citation
  • DeGaetano, A. T., 2001: Spatial grouping of United States climate stations using a hybrid clustering approach. Int. J. Climatol., 21 , 791–807.

    • Search Google Scholar
    • Export Citation
  • Devore, J. L., and K. N. Berk, 2007: Modern Mathematical Statistics with Applications. Thomson Higher Education, 838 pp.

  • Fovell, R. G., 1997: Consensus clustering of U.S. temperature and precipitation data. J. Climate, 10 , 1405–1427.

  • Fovell, R. G., and M. C. Fovell, 1993: Climate zones of the conterminous United States defined using cluster analysis. J. Climate, 6 , 2103–2135.

    • Search Google Scholar
    • Export Citation
  • Gerstengarbe, F-W., P. C. Werner, and K. Fraedrich, 1999: Applying non-hierarchical cluster analysis algorithms to climate classification: Some problems and their solution. Theor. Appl. Climatol., 64 , 143–150.

    • Search Google Scholar
    • Export Citation
  • Gong, X., and M. B. Richman, 1995: On the application of cluster analysis to growing season precipitation data in North America east of the Rockies. J. Climate, 8 , 897–931.

    • Search Google Scholar
    • Export Citation
  • Hartigan, J. A., 1975: Clustering Algorithms. John Wiley & Sons, 351 pp.

  • Kakizawa, Y., R. H. Shumway, and M. Taniguchi, 1998: Discrimination and clustering for multivariate time series. J. Amer. Stat. Assoc., 93 , 328–340.

    • Search Google Scholar
    • Export Citation
  • Kalkstein, L., G. Tan, and J. A. Skindlov, 1987: An evaluation of three clustering procedures for use in synoptic climatological classification. J. Climate Appl. Meteor., 26 , 717–730.

    • Search Google Scholar
    • Export Citation
  • Kidson, J. W., 2000: An analysis of New Zealand synoptic types and their use in defining weather regimes. Int. J. Climatol., 20 , 299–316.

    • Search Google Scholar
    • Export Citation
  • Lund, R. B., and I. V. Basawa, 2000: Recursive prediction and likelihood evaluation for periodic ARMA models. J. Time Ser. Anal., 21 , 75–93.

    • Search Google Scholar
    • Export Citation
  • Lund, R. B., and J. Reeves, 2002: Detection of undocumented changepoints: A revision of the two-phase regression model. J. Climate, 15 , 2547–2554.

    • Search Google Scholar
    • Export Citation
  • Lund, R. B., H. Hurd, P. Bloomfield, and R. L. Smith, 1995: Climatological time series with periodic correlation. J. Climate, 8 , 2787–2809.

    • Search Google Scholar
    • Export Citation
  • Lund, R. B., H. Bassily, and B. Vidakovic, 2009: Testing equality of autocovariance functions. J. Time Ser. Anal., in press.

  • Maharaj, E. A., 2000: Clusters of time series. J. Classif., 17 , 297–314.

  • Mardia, K. V., J. T. Kent, and J. M. Bibby, 1979: Multivariate Analysis. Academic Press, 521 pp.

  • Michelangeli, P-A., R. Vautard, and B. Legras, 1995: Weather regimes: Recurrence and quasi stationarity. J. Atmos. Sci., 52 , 1237–1256.

    • Search Google Scholar
    • Export Citation
  • Moeckel, R., and B. Murray, 1997: Measuring the distance between time series. Physica D, 102 , 187–194.

  • Steinbach, M., P-N. Tan, V. Kumar, S. Klooster, and C. Potter, 2003: Discovery of climate indices using clustering. Proc. Ninth ACM SIGKDD Int. Conf. on Knowledge Discovery and Data Mining, New York, NY, ACM, 446–455.

    • Search Google Scholar
    • Export Citation
  • Stephenson, D. B., A. Hannachi, and A. O’Neill, 2004: On the existence of multiple climate regimes. Quart. J. Roy. Meteor. Soc., 130 , 583–605.

    • Search Google Scholar
    • Export Citation
  • Stooksbury, D. E., and P. J. Michaels, 1990: Cluster analysis of southeastern U.S. climate stations. Theor. Appl. Climatol., 44 , 143–150.

    • Search Google Scholar
    • Export Citation
  • Straus, D. M., S. Corti, and F. Molteni, 2007: Circulation regimes: Chaotic variability versus SST-forced predictability. J. Climate, 20 , 2251–2272.

    • Search Google Scholar
    • Export Citation
  • Thornthwaite, C. W., 1931: The climates of North America, according to a new classification. Geogr. Rev., 38 , 55–94.

  • Unal, Y., T. Kindap, and M. Karaca, 2003: Redefining the climate zones of Turkey using cluster analysis. Int. J. Climatol., 23 , 1045–1055.

    • Search Google Scholar
    • Export Citation
  • Vrac, M., and P. Naveau, 2007: Stochastic downscaling of precipitation: From dry events to heavy rainfalls. Water Resour. Res., 43 , W07402. doi:10.1029/2006WR005308.

    • Search Google Scholar
    • Export Citation
  • Wilks, D., 2006: Statistical Methods in the Atmospheric Sciences. 2nd ed. Academic Press, 648 pp.

  • Yao, C. S., 1997: A new method of cluster analysis for numerical classification of climate. Theor. Appl. Climatol., 57 , 111–118.

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