1 2 Supplementary Information for 3 Remote influence of Atlantic multidecadal variability on Siberian 4 warm season precipitation 5 Cheng Sun, Jianping Li and Sen Zhao 6 7 8 *To whom correspondence should be addressed. E-mail: ljp@bnu.edu.cn 9 10 This file includes: 11 12 Supplementary Figs. 1–10 13 1 1 AMV leads 2 3 Supplementary Figure 1 Lead–lag correlation between the SWP and AMV indices for different 4 smoothing time scales. The blue, red, and green lines are for unsmoothed, 5-yr, and 9-yr running 5 mean time series, respectively. The definitions of the SWP and AMV indices are given in the text. 6 The dashed lines are the 95% confidence levels based on the effective numbers of degrees of 7 freedom. This figure was plotted using NCL. 8 2 1 (a) GPCC Kaplan HadISST3 StdDev CRU StdDev (b) 2 3 Supplementary Figure 2 SWP and AMV indices from different SST and precipitation data sets. (a) 4 Normalized time series of the SWP indices from the CRU and GPCC precipitation data sets (thin 5 lines) and the 11-yr running averages (thick lines). (b) Normalized time series of the AMV 6 indices from the Kaplan and HadISST3 SST data sets for the period 1901–2013 (thin lines) and 7 the 11-yr running averages (thick lines). In (a) and (b) the long-term linear trends in SST and 8 precipitation data have been removed to highlight the fluctuations. This figure was plotted using 9 NCL. 10 3 1 2 Supplementary Figure 3 Regression of the warm season land precipitation anomalies over 3 northern Asia (mm month−1) with respect to the normalized AMV index at decadal time scales. 4 Dots indicate regressions significant at the 95% confidence level. This figure was plotted using 5 NCL. 6 4 1 2 Supplementary Figure 4 Regression of the warm season NH 900-hPa geopotential height (m) 3 with respect to the normalized AMV index at decadal time scales. Dots indicate regressions 4 significant at the 95% confidence level. This figure was plotted using NCL. 5 5 1 2 Supplementary Figure 5 The AMV-type SST anomalies (K) used to force the sensitivity 3 experiments in the SPEEDY model. This figure was plotted using NCL. 4 6 1 2 3 Supplementary Figure 6 Warm season precipitation (shading; mm month−1) and vertically 4 integrated moisture flux (vectors; kg m−1 s−1) simulated by the SPEEDY model over the eastern 5 NH in response to North Atlantic SST warming. Dots and arrows indicate the regions where the 6 results from the sensitivity simulations are significantly different from the control at the 95% 7 confidence level (Student’s t-test). This figure was plotted using NCL. 8 7 (a) (b) 1 2 Supplementary Figure 7 SPEEDY model simulated fields from a longer 30-yr sensitivity 3 experiment forced by the AMV-type warm SST anomalies. (a) 300-hPa geopotential height 4 (shading; m), (b) precipitation (shading; mm month−1), and vertically integrated moisture flux 5 (vectors; kg m−1 s−1) anomalies over the NH during the warm season. Dots in (a) and (b), and 6 arrows in (b) indicate the regions where the results from the sensitivity simulations are 7 significantly different from the control at the 95% confidence level (Student’s t-test). This figure 8 was plotted using NCL. 9 8 1 (a) (b) 2 3 Supplementary Figure 8 Simulated fields from the SPEEDY model of the warm season in 4 response to North Atlantic SST cooling. (a) 300-hPa geopotential height (shading; m), (b) 5 precipitation (shading; mm month−1), and vertically integrated moisture flux (vectors; kg m−1 s−1) 6 anomalies over the NH. Dots in (a) and (b), and arrows in (b) indicate the regions where the 7 results from the sensitivity simulations are significantly different from the control at the 95% 8 confidence level (Student’s t-test). This figure was plotted using NCL. 9 10 11 9 1 2 3 Supplementary Figure 9 Stationary Rossby wave trajectories (blue curves) with zonal wave 4 number (a) k = 3 and (b) k = 4. The Rossby waves start from the mid-latitude North Atlantic 5 according to the RWS analyses shown in Fig. 4c, and are forced by the background state of the 6 warm season climatology. The climatological mean 300-hPa zonal wind for the warm season 7 (color shading; m s–1) serves as the background field for the Rossby wave trains. The trajectories 8 are computed by Rossby wave ray tracing analysis, following ref. 46. This figure was plotted 9 using NCL. 10 1 2 Supplementary Figure 10 Climatological Rossby stationary wavenumber ( ( U yy ) / U , where 3 U and are mean zonal wind and meridional gradient of planetary vorticity, respectively, and 4 U yy is the approximated meridional gradient of relative vorticity). The stationary Rossby 5 wavenumber calculation is based on the long-term climatological zonal wind at 300 hPa for the 6 warm season. This figure was plotted using NCL. 11