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1850–2006 CE. A version of the “error in variables” method (EIV or “total least squares”; Hegerl et al. 2007a ) based on the regularized expectation–maximization algorithm (RegEM; Schneider 2001 ) was used to regress the proxies against the instrumental target. Hemispheric-mean surface air temperature was reconstructed for the Northern Hemisphere for the period 300–2006 CE and for the Southern Hemisphere for the period 400–2006 CE. A decadal filter was applied to the final reconstructions, to
1850–2006 CE. A version of the “error in variables” method (EIV or “total least squares”; Hegerl et al. 2007a ) based on the regularized expectation–maximization algorithm (RegEM; Schneider 2001 ) was used to regress the proxies against the instrumental target. Hemispheric-mean surface air temperature was reconstructed for the Northern Hemisphere for the period 300–2006 CE and for the Southern Hemisphere for the period 400–2006 CE. A decadal filter was applied to the final reconstructions, to