Table 2 Verification of OEnKF with PAGES2k, OEnKF with PAGES2k + M08, OEnKF with the comprehensive database, HGAOEnKF with PAGES2k, HGAOEnKF with PAGES2k + M08, HGAOEnKF with the comprehensive database against the 25% independent proxy records, i.e., the mean of correlation coefficient (Cor), coefficient of efficiency difference (posterior CE minus prior CE, ∆CE), and RMSE between the standardized proxy value and the standardized predicted value, across all the proxy records
OEnKF with PAGES2k | HGAOEnKF with PAGES2k | |||||
|---|---|---|---|---|---|---|
Cor | ΔCE | RMSE | Cor | ΔCE | RMSE | |
Tree (99) | 0.21 | −1.01 | 0.23 | 0.22 | −1.03 | 0.23 |
Coral (7) | 0.01 | −0.97 | 0.28 | 0.10 | −0.92 | 0.28 |
Ice (9) | 0.01 | −1.35 | 0.24 | 0.04 | −1.20 | 0.23 |
Other (13) | 0.02 | −3.54 | 0.29 | 0.06 | −2.49 | 0.28 |
mean | 0.17 | −1.29 | 0.24 | 0.18 | −1.18 | 0.24 |
OEnKF with PAGES2k + M08 | HGAOEnKF with PAGES2k + M08 | |||||
Cor | ΔCE | RMSE | Cor | ΔCE | RMSE | |
Tree (170) | 0.21 | 0.69 | 0.24 | 0.23 | 0.72 | 0.24 |
Coral (8) | 0.07 | 0.01 | 0.31 | 0.09 | 0.31 | 0.30 |
Ice (10) | 0.09 | 0.08 | 0.22 | 0.10 | −0.25 | 0.24 |
mean | 0.20 | 0.63 | 0.24 | 0.22 | 0.66 | 0.24 |
OEnKF with the comprehensive database | HGAOEnKF with the comprehensive database | |||||
Cor | ΔCE | RMSE | Cor | ΔCE | RMSE | |
Tree (210) | 0.25 | 0.64 | 0.24 | 0.28 | 0.71 | 0.23 |
Coral (9) | 0.47 | 1.28 | 0.23 | 0.51 | 1.41 | 0.22 |
Ice (9) | 0.21 | 0.44 | 0.24 | 0.24 | 0.42 | 0.24 |
mean | 0.26 | 0.65 | 0.24 | 0.28 | 0.72 | 0.23 |
