Editorial Type:
Article
Article Type:
Research Article

Geophysical Applications of Partial Wavelet Coherence and Multiple Wavelet Coherence

Eric K. W. Ng Guy Carpenter Asia Pacific Climate Impact Centre, School of Energy and Environment, City University of Hong Kong, Hong Kong, China

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Johnny C. L. Chan Guy Carpenter Asia Pacific Climate Impact Centre, School of Energy and Environment, City University of Hong Kong, Hong Kong, China

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Print Publication:
01 Dec 2012
DOI:
https://doi.org/10.1175/JTECH-D-12-00056.1
Page(s):
1845–1853
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Abstract

In this paper, the application of partial wavelet coherence (PWC) and multiple wavelet coherence (MWC) to geophysics is demonstrated. PWC is a technique similar to partial correlation that helps identify the resulting wavelet coherence (WTC) between two time series after eliminating the influence of their common dependence. MWC, akin to multiple correlation, is, however, useful in seeking the resulting WTC of multiple independent variables on a dependent one. The possible El Niño–Southern Oscillation–related impact of the large-scale atmospheric factors on tropical cyclone activity over the western North Pacific is used as an example. A software package for PWC and MWC has been developed. It also includes modified software that rectified the bias in the wavelet power spectrum and wavelet cross-spectrum. The package is available online (see http://www.cityu.edu.hk/gcacic/wavelet).

Corresponding author address: Eric Ng, School of Energy and Environment, Guy Carpenter Asia-Pacific Climate Impact Centre, City University of Hong Kong, Tat Chee Ave., Kowloon, Hong Kong, China. E-mail: e.ng@student.cityu.edu.hk

Abstract

In this paper, the application of partial wavelet coherence (PWC) and multiple wavelet coherence (MWC) to geophysics is demonstrated. PWC is a technique similar to partial correlation that helps identify the resulting wavelet coherence (WTC) between two time series after eliminating the influence of their common dependence. MWC, akin to multiple correlation, is, however, useful in seeking the resulting WTC of multiple independent variables on a dependent one. The possible El Niño–Southern Oscillation–related impact of the large-scale atmospheric factors on tropical cyclone activity over the western North Pacific is used as an example. A software package for PWC and MWC has been developed. It also includes modified software that rectified the bias in the wavelet power spectrum and wavelet cross-spectrum. The package is available online (see http://www.cityu.edu.hk/gcacic/wavelet).

Corresponding author address: Eric Ng, School of Energy and Environment, Guy Carpenter Asia-Pacific Climate Impact Centre, City University of Hong Kong, Tat Chee Ave., Kowloon, Hong Kong, China. E-mail: e.ng@student.cityu.edu.hk
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  • Allen, M. R., and Smith L. A. , 1996: Monte Carlo SSA: Detecting irregular oscillation in the presence of colored noise. J. Climate, 9, 3373–3404.

    • Search Google Scholar
    • Export Citation

  • Ashok, K., Behera S. , Rao A. S. , Weng H. Y. , and Yamagata T. , 2007: El Niño Modoki and its possible teleconnection. J. Geophys. Res., 112, C11007, doi:10.1029/2006JC003798.

    • Search Google Scholar
    • Export Citation

  • Chan, J. C. L., 2009: Thermodynamic control on the climate of intense tropical cyclones. Proc. Roy. Soc. A, 465, 3011–3021.

  • Chan, J. C. L., and Liu K. S. , 2004: Global warming and western North Pacific typhoon activity from an observational perspective. J. Climate, 17, 4590–4602.

    • Search Google Scholar
    • Export Citation

  • Chen, G., and Tam C.-Y. , 2010: Different impacts of two kinds of Pacific Ocean warming on tropical cyclone frequency over the western North Pacific. Geophys. Res. Lett., 37, L01803, doi:10.1029/2009GL041708.

    • Search Google Scholar
    • Export Citation

  • Daubechies, I., 1992: Ten Lectures on Wavelets. Society for Industrial and Applied Mathematics, 357 pp.

  • Emanuel, K. A., 2005: Increasing destructiveness of tropical cyclones over the past 30 years. Nature, 436, 686–688.

  • Gilman, D. L., Fuglister F. J. , and Mitchell J. M. , 1963: On the power spectrum of “red noise.” J. Atmos. Sci., 20, 182–184.

  • Gray, W. M., 1979: Hurricanes: Their formation, structure, and likely role in the tropical circulation. Meteorology over the Tropical Oceans, D. B. Shaw, Ed., Royal Meteorological Society, 155–218.

  • Grinsted, A., Moore J. C. , and Jevrejeva S. , 2004: Application of the cross wavelet transform and wavelet coherence to geophysical time series. Nonlinear Processes Geophys., 11, 561–566.

    • Search Google Scholar
    • Export Citation

  • Gurley, K., and Kareem A. , 1999: Applications of wavelet transforms in earthquake, wind and ocean engineering. Eng. Struct., 21, 149–167.

    • Search Google Scholar
    • Export Citation

  • Gurley, K., Kijewski T. , and Kareem A. , 2003: First- and higher-order correlation detection using wavelet transforms. J. Eng. Mech., 129, 188–201.

    • Search Google Scholar
    • Export Citation

  • Kalnay, E., and Coauthors, 1996: The NCEP/NCAR 40-Year Reanalysis Project. Bull. Amer. Meteor. Soc., 77, 437–471.

  • Knapp, K. R., Kruk M. C. , Levinson D. H. , Diamond H. J. , and Neumann C. J. , 2010: The International Best Track Archive for Climate Stewardship (IBTRACS). Bull. Amer. Meteor. Soc., 91, 363–376.

    • Search Google Scholar
    • Export Citation

  • Knutson, T. R., and Tuleya R. E. , 1999: Increased hurricane intensities with CO2-induced warming as simulated using the GFDL hurricane prediction system. Climate Dyn., 15, 503–519.

    • Search Google Scholar
    • Export Citation

  • Kruk, M. C., Knapp K. R. , and Levinson D. H. , 2010: A technique for combining global tropical cyclone best track data. J. Atmos. Oceanic Technol., 27, 680–692.

    • Search Google Scholar
    • Export Citation

  • Liu, Y., Liang X. S. , and Weisberg R. H. , 2007: Rectification of the bias in the wavelet power spectrum. J. Atmos. Oceanic Technol., 24, 2093–2102.

    • Search Google Scholar
    • Export Citation

  • Maraun, D., and Kurths J. , 2004: Cross wavelet analysis: Significance testing and pitfalls. Nonlinear Processes Geophys., 11, 505–514.

    • Search Google Scholar
    • Export Citation

  • Mihanović, H., Orlić M. , and Pasrić Z. , 2009: Diurnal thermocline oscillations driven by tidal flow around an island in the Middle Adriatic. J. Mar. Syst., 78, S157–S168.

    • Search Google Scholar
    • Export Citation

  • Ng, E. K. W., and Chan J. C. L. , 2012: Interannual variations of tropical cyclone activity over the north Indian Ocean. Int. J. Climatol., 32, 819–830, doi:10.1002/joc.2304.

    • Search Google Scholar
    • Export Citation

  • Torrence, C., and Compo G. P. , 1998: A practical guide to wavelet analysis. Bull. Amer. Meteor. Soc., 79, 61–78.

  • Veleda, D., Montagne R. , and Araújo M. , 2012: Cross-wavelet bias corrected by normalizing scales. J. Atmos. Oceanic Technol., 29, 1401–1408.

    • Search Google Scholar
    • Export Citation

  • Webster, P. J., Holland G. J. , Curry J. A. , and Chang H.-R. , 2005: Changes in tropical cyclone number, duration, and intensity in a warming environment. Science, 309, 1844–1846.

    • Search Google Scholar
    • Export Citation

  • Xue, Z., and Neumann C. J. , 1984: Frequency and motion of western North Pacific tropical cyclones. NOAA Tech. Memo. NWS NHC 23, 89 pp.

  • Zar, J. H., 1999: Biostatistical Analysis. Prentice Hall, 601 pp.

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