Changes in Internal Variability due to Anthropogenic Forcing: A New Field Significance Test

Emerson LaJoie Department of Atmospheric, Oceanic, and Earth Sciences, and the Center for Ocean–Land–Atmosphere Studies, George Mason University, Fairfax, Virginia

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Timothy DelSole Department of Atmospheric, Oceanic, and Earth Sciences, and the Center for Ocean–Land–Atmosphere Studies, George Mason University, Fairfax, Virginia

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Abstract

Changes in internal variability of seasonal and annual mean 2-m temperature in response to anthropogenic forcing are quantified for a global domain using climate models driven by a twenty-first-century high-emissions scenario. While changes in variance have been quantified previously in a univariate sense, the field significance of such changes has remained unclear. This paper proposes a new field significance test for changes in variance that accounts for spatial and temporal relationships within the domain. The test proposed here uses an optimization technique based on discriminant analysis, yielding results that are invariant to linear transformations of the data and therefore independent of normalization procedures. Multiple significance tests are employed because spatial fields can differ in many ways in a multivariate space. All climate models investigated here predict significant changes in internal variability of temperature in response to anthropogenic forcing. The models consistently predict decreases to temperature variance in regions of seasonal sea ice formation and across the Southern Ocean by the end of the twenty-first century. While more than half the models also predict significant changes in variance over ENSO regions and the North Atlantic Ocean, the direction of this change is model dependent. Seasonal mean changes are remarkably similar to annual mean changes, but there are model-dependent exceptions. Some models predict future variability that is more than double their preindustrial control variability, raising questions about the adequacy of doubling uncertainty estimates to test robustness in detection and attribution studies.

Corresponding author address: Emerson LaJoie, AOES/COLA, George Mason University, 112 Research Hall, MSN 2B3, Fairfax, VA 22030. E-mail: elajoie@masonlive.gmu.edu

Abstract

Changes in internal variability of seasonal and annual mean 2-m temperature in response to anthropogenic forcing are quantified for a global domain using climate models driven by a twenty-first-century high-emissions scenario. While changes in variance have been quantified previously in a univariate sense, the field significance of such changes has remained unclear. This paper proposes a new field significance test for changes in variance that accounts for spatial and temporal relationships within the domain. The test proposed here uses an optimization technique based on discriminant analysis, yielding results that are invariant to linear transformations of the data and therefore independent of normalization procedures. Multiple significance tests are employed because spatial fields can differ in many ways in a multivariate space. All climate models investigated here predict significant changes in internal variability of temperature in response to anthropogenic forcing. The models consistently predict decreases to temperature variance in regions of seasonal sea ice formation and across the Southern Ocean by the end of the twenty-first century. While more than half the models also predict significant changes in variance over ENSO regions and the North Atlantic Ocean, the direction of this change is model dependent. Seasonal mean changes are remarkably similar to annual mean changes, but there are model-dependent exceptions. Some models predict future variability that is more than double their preindustrial control variability, raising questions about the adequacy of doubling uncertainty estimates to test robustness in detection and attribution studies.

Corresponding author address: Emerson LaJoie, AOES/COLA, George Mason University, 112 Research Hall, MSN 2B3, Fairfax, VA 22030. E-mail: elajoie@masonlive.gmu.edu
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  • Allen, M. R., and S. F. B. Tett, 1999: Checking for model consistency in optimal fingerprinting. Climate Dyn., 15, 419–434, doi:10.1007/s003820050291.

    • Search Google Scholar
    • Export Citation
  • Barnes, E. A., 2013: Revisiting the evidence linking arctic amplification to extreme weather in midlatitudes. Geophys. Res. Lett., 40, 4734–4739, doi:10.1002/grl.50880.

    • Search Google Scholar
    • Export Citation
  • Boer, G., 2009: Changes in interannual variability and decadal potential predictability under global warming. J. Climate, 22, 3098–3109, doi:10.1175/2008JCLI2835.1.

    • Search Google Scholar
    • Export Citation
  • Collins, M., and Coauthors, 2010: The impact of global warming on the tropical Pacific Ocean and El Niño. Nat. Geosci., 3, 391–397, doi:10.1038/ngeo868.

    • Search Google Scholar
    • Export Citation
  • Collins, M., and Coauthors, 2013: Long-term climate change: Projections, commitments and irreversibility. Climate Change 2013: The Physical Science Basis, T. F. Stocker et al., Eds., Cambridge University Press, 1029–1136.

  • Coumou, D., and A. Robinson, 2013: Historic and future increase in the global land area affected by monthly heat extremes. Environ. Res. Lett., 8, 034018, doi:10.1088/1748-9326/8/3/034018.

    • Search Google Scholar
    • Export Citation
  • Cover, T. M., and J. A. Thomas, 1991: Elements of Information Theory. Wiley-Interscience, 576 pp.

  • DelSole, T., X. Yan, P. A. Dirmeyer, M. Fennessy, and E. Altshuler, 2014: Changes in seasonal predictability due to global warming. J. Climate, 27, 300–311, doi:10.1175/JCLI-D-13-00026.1.

    • Search Google Scholar
    • Export Citation
  • Flury, B. N., 1985: Analysis of linear combinations with extreme ratios of variance. J. Amer. Stat. Assoc., 80, 915–922, doi:10.1080/01621459.1985.10478203.

    • Search Google Scholar
    • Export Citation
  • Francis, J. A., and S. J. Vavrus, 2012: Evidence linking Arctic amplification to extreme weather in mid-latitudes. Geophys. Res. Lett., 39, L06801, doi:10.1029/2012GL051000.

    • Search Google Scholar
    • Export Citation
  • Hansen, J., M. Sato, and R. Ruedy, 2012: Perception of climate change. Proc. Natl. Acad. Sci. USA, 109, E2415–E2423, doi:10.1073/pnas.1205276109.

    • Search Google Scholar
    • Export Citation
  • Hegerl, G. C., and Coauthors, 2007: Understanding and attributing climate change. Climate Change 2007: The Physical Science Basis, S. Solomon et al., Eds., Cambridge University Press, 663–745.

  • Huntingford, C., P. D. Jones, V. N. Livina, T. M. Lenton, and P. M. Cox, 2013: No increase in global temperature variability despite changing regional patterns. Nature, 500, 327–330, doi:10.1038/nature12310.

    • Search Google Scholar
    • Export Citation
  • Imbers, J., A. Lopez, C. Huntingford, and M. Allen, 2014: Sensitivity of climate change detection and attribution to the characterization of internal climate variability. J. Climate, 27, 3477–3491, doi:10.1175/JCLI-D-12-00622.1.

    • Search Google Scholar
    • Export Citation
  • IPCC, 2012: Managing the Risks of Extreme Events and Disasters to Advance Climate Change Adaptation. C. Field et al., Eds., Cambridge University Press, 582.

  • Jaeger, G., 2007: Quantum Information. Springer, 284 pp.

  • Jones, G. S., P. A. Stott, and N. Christidis, 2013: Attribution of observed historical near-surface temperature variations to anthropogenic and natural causes using CMIP5 simulations. J. Geophys. Res., 118, 4001–4024, doi:10.1002/jgrd.50239.

    • Search Google Scholar
    • Export Citation
  • Kullback, S., 1968: Information Theory and Statistics. Dover, 399 pp.

  • Livezey, R. E., and W. Chen, 1983: Statistical field significance and its determination by Monte Carlo techniques. Mon. Wea. Rev., 111, 46–59, doi:10.1175/1520-0493(1983)111<0046:SFSAID>2.0.CO;2.

    • Search Google Scholar
    • Export Citation
  • Rhines, A., and P. Huybers, 2013: Frequent summer temperature extremes reflect changes in the mean, not the variance. Proc. Natl. Acad. Sci. USA, 110, E546–E546, doi:10.1073/pnas.1218748110.

    • Search Google Scholar
    • Export Citation
  • Screen, J. A., 2014: Arctic amplification decreases temperature variance in northern mid- to high-latitudes. Nat. Climate Change, 4, 577–582, doi:10.1038/nclimate2268.

    • Search Google Scholar
    • Export Citation
  • Screen, J. A., and I. Simmonds, 2013: Exploring links between Arctic amplification and mid-latitude weather. Geophys. Res. Lett., 40, 959–964, doi:10.1002/grl.50174.

    • Search Google Scholar
    • Export Citation
  • Screen, J. A., C. Deser, and L. Sun, 2014: Reduced risk of North American cold extremes due to continued Arctic sea ice loss. Bull. Amer. Meteor. Soc., 96, 1489–1503, doi:10.1175/BAMS-D-14-00185.1.

    • Search Google Scholar
    • Export Citation
  • Sippel, S., J. Zscheischler, M. Heimann, F. E. Otto, J. Peters, and M. D. Mahecha, 2015: Quantifying changes in climate variability and extremes: Pitfalls and their overcoming. Geophys. Res. Lett., 42, 9990–9998, doi:10.1002/2015GL066307.

    • Search Google Scholar
    • Export Citation
  • Tingley, M. P., 2012: A Bayesian ANOVA scheme for calculating climate anomalies, with applications to the instrumental temperature record. J. Climate, 25, 777–791, doi:10.1175/JCLI-D-11-00008.1.

    • Search Google Scholar
    • Export Citation
  • Vecchi, G. A., and A. T. Wittenberg, 2010: El Niño and our future climate: Where do we stand? Wiley Interdiscip. Rev.: Climate Change, 1, 260–270, doi:10.1002/wcc.33.

    • Search Google Scholar
    • Export Citation
  • Wittenberg, A. T., 2009: Are historical records sufficient to constrain ENSO simulations? Geophys. Res. Lett., 36, L12702, doi:10.1029/2009GL038710.

    • Search Google Scholar
    • Export Citation
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