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I derived a zonal index by subtracting the December–February mean sea-level pressure northwards of 45° N from the mean sea-level pressure between the Equator and 45° N using two data sets: the NCEP reanalysis4 and a newly completed data set of gridded observations known as HadSLP2r (R. J. Allan and T. J. Ansell, manuscript submitted). The trend in this zonal index over the period 1955–2005 is shown in Fig. 1 for both data sets. I compared the observed trend with output from nine coupled climate models from the Intergovernmental Panel on Climate Change data archive (UKMO-HadCM3, CCSM3, PCM, GFDL-CM2.0, GFDL-CM2.1, MIROC3.2(medres), MIROC3.2(hires), GISS-EH and GISS-ER).

Figure 1: Simulated and observed zonal index trends.
figure 1

The green line represents the 1955–2005 trend in the mean sea-level pressure in the Northern Hemisphere over December–February southwards of 457 N minus the mean sea-level pressure northwards of 457 N taken from the NCEP reanalysis4 and the blue line represents the same from the HadSLP2r data set (R. J. Allan and T. J. Ansell, manuscript submitted). The black line is a normalized histogram of 50-year zonal index trends in 3,903 overlapping segments of control simulations from nine coupled climate models obtained from the Intergovernmental Panel on Climate Change data archive of the Program for Climate Model Diagnosis and Intercomparison, Lawrence Livermore National Laboratory. The red line is a normalized histogram of 1955–2005 zonal index trends from 40 historical simulations of the nine models with anthropogenic and natural forcings. In cases where the historical simulations ended before February 2005, output from twenty-first century scenario integrations with only anthropogenic forcings was used for the missing years.

To assess whether the observed trend could result from internal climate variability, I calculated equivalent zonal index trends in 3,903 overlapping 50-year segments of the models' control integrations (Fig. 1, black histogram). The NCEP zonal index trend exceeds all 50-year zonal index trends from the control simulations, and the HadSLP2r zonal index trend exceeds all but one, indicating that the observed trend is inconsistent with simulated internal variability at the 5% significance level.

I assessed the possible role of external forcing by calculating zonal indices for the period 1955–2005 in historical simulations from the same climate models, which include greenhouse-gas, sulphate-aerosol, stratospheric-ozone, volcanic-aerosol and solar-irradiance changes. The resulting zonal index trends in each of the 40 ensemble members are shown by the red histogram in Fig. 1. Although the mean trend in these simulations is significantly positive (0.40 hectopascal per 50 yr), all the simulated trends are less than the observed trend, indicating that the simulated and observed trends are inconsistent at the 5% level, in contrast to previous findings based on the North Atlantic Oscillation index5.

Overall, I find that the observed Northern Hemisphere circulation trend is inconsistent both with simulated internal variability and with the simulated response to human and natural climate influences, although the mean simulated zonal index trend is consistent in sign with that observed. This is therefore an important aspect of large-scale climate change that these state-of-the-art climate models are unable to simulate; if we could understand and correct this bias, predictions of future regional climate change would be improved.