Data assimilation method. The reconstructions are generated using the ensemble Kalman filter to spatially spread information from global paleoclimate proxy data using teleconnection patterns captured by covariance structures in climate models, following the Last Millennium Reanalysis framework25,26. The ensemble approach generates a distribution of climate states, allowing us to estimate the most probable state as well as quantify associated errors. Additionally, this approach can generate multiple climate fields at once, including those not typically derived from proxy data. We use an offline data assimilation method in which we randomly draw annually-averaged anomaly states from climate model output to form a prior ensemble with 100 members, which we use for every year reconstructed. This approach ensures that the temporal variance and trends in the final reconstruction, or “posterior” ensemble, are generated from the proxies rather than variability in the model. This approach also leaves us with a posterior ensemble of 100 members, which we use to calculate uncertainty. Additionally, the offline approach allows us to test the sensitivity of the reconstruction to the choice of climate model used for the prior.
Our ensemble data assimilation method follows these equations:
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The forward model used to map the prior estimate to proxy space is a seasonal linear regression between instrumental temperature anomalies and each proxy record for the period of overlap. For tree-ring records, we use a seasonal bilinear forward model calibrated to both instrumental temperature and precipitation data with proxy-specific seasonality26. Our calibration data for temperature and precipitation are GISTEMP60 and Global Precipitation Climatology Centre61 (GPCC), respectively. For ice core records from Antarctica, we calibrate the data to temperatures from Nicolas and Bromwich, 2014 rather than GISTEMP. Nicolas and Bromwich, 2014 is the most up to date and accurate spatial temperature reconstruction for Antarctica, though we note that the reconstructions show only very minor differences if we calibrate the ice cores to GISTEMP. The ice core records we use comprise both water-isotope (δ18O) records and annual-accumulation records; both are calibrated to temperature, following a study39 that found that using both accumulation and δ18O yields better performance for temperature than reconstructions using δ18O alone. GPCC is not reliable over Antarctica, and while other precipitation data sets are available, climate models generally show significant bias in accumulation; we therefore do not use an accumulation prior.
The anomaly reference period in the reconstructions is 1961-1990 unless otherwise noted (e.g., in comparisons to satellite-based reanalysis products that start in 1979, in which we shift the anomaly reference period in the reconstructions by moving them by the difference in reconstruction mean from 1961-1990 and 1979-2005). The reconstructions are regridded to 1° resolution.
Correlation and coefficient of efficiency calculations. To assess reconstruction skill, we calculate correlation to measure signal timing (after accounting for autocorrelation) and coefficient of efficiency to quantify errors in signal amplitude or bias. We use the Pearson correlation coefficient to calculate correlation on the ensemble mean time series. Correlation significance is calculated with the 2-tailed student t-test with 95% confidence, using the number of independent samples (N) that accounts for autocorrelation62:
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Calculations of trend magnitude and uncertainty. Trends are calculated as the slope of a linear regression for the ensemble mean of the reconstruction. To calculate uncertainty on the magnitude of the trend, we randomly draw from the 100 ensemble members for each year to generate a random ensemble of time series (i.e., the ensemble indices are randomly labeled in time). We perform this step 100 times and calculate the uncertainty as twice the standard deviation of the 100 linear fits associated with these random draws. We note that 100 is sufficient for the statistics to converge. We use 2σ as the uncertainty bounds on the magnitude of the trend, as the data these are performed on are approximately normal (by failing to reject a Kolmogorov-Smirnov test for normality with 95% confidence). Thus, 2 standard deviations from the mean is equivalent to the middle 95% of the 100-member ensemble trends.
Trend significance. Trends are considered statistically significant if two criteria are met: (1) the trend magnitudes and their uncertainties for both reconstructions overlap with each other and do not overlap with 0 (i.e. they are consistent in sign and magnitude), and (2) if the 95% confidence intervals of the ensemble mean trend do not overlap with 0, after accounting for autocorrelation, in both reconstructions (i.e. how meaningful the linear trend is for how noisy the data are). The 95% confidence interval of the linear fit (for the second criteria) is calculated as follows:
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Southern hemisphere surface westerly position and strength calculations. We calculate the circumpolar Southern Hemisphere (SH) westerly wind position as the center of mass latitude for zonally averaged westerly winds between the latitudes of 20°S and 70°S. The SH surface wind strength is the wind speed at the center of mass latitude. To perform these calculations, we add the mean of the prior back into the respective reconstruction so that we are working with the full climate field. Trends are calculated with 100 randomly generated time series drawn from ensemble members following the steps outlined above. We perform this calculation on the zonal average (full circumpolar) and by regions64: the Pacific (150–290°E), Atlantic (290–20°E), and Indian (20–150°E) Ocean regions (Table S3).
Model bias in the reconstructions. The trends in the reconstructions are generated by information from the proxies, but the mean wind speeds and wind positions are largely inherited from the models that the priors are drawn from (Fig. S7, Table S4). As a result, the CESM reconstruction shows a positive bias in wind strength (1.19 m/s) relative to ERA5, while the HadCM3 reconstruction shows a negative bias relative to NCEP2 (-1.19 m/s). The reconstructions show minor position biases relative to both ERA5 and NCEP2 (-0.43° to 0.86°). These biases are small compared to biases seen across CMIP5 and CMIP6 models50. Wind position biases in models have been shown to affect trends in the circumpolar westerly wind position64,65,66, so trends subject to biases must be treated with caution. However, even with contrasting biases in strength and small biases in position, both reconstructions show insignificant trends in position and weak strengthening of the SH westerlies during the 20th century, with a large strengthening component from the Pacific region.
Pseudoproxy experiments. We use the same data assimilation method as the real-proxy reconstructions to generate pseudoproxy reconstructions, with a few changes. We use a prior from a historical model so that we can generate pseudoproxies from the 20th century. We use a PACE prior composed of ensemble members 2-20, concatenated together to form a sufficiently long list of climate states to draw from. We generate the pseudoproxies by drawing temperature from the proxy locations in ensemble member 1 of PACE. Since the pseudoproxies are taken directly from the temperature fields, no forward model is needed. We use an observational error of 0.01°C. The ability of the pseudoproxy reconstructions to reproduce the historical climate models allows us to understand the upper bound of how well our method can reproduce the truth, given the proxy locations that we have and the covariance structures in the models.