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Table 3 The submitted candidate model with our estimate of its uncertainties (90% confidence interval)

From: A secular variation candidate model for IGRF-13 based on Swarm data and ensemble inverse geodynamo modelling

\(\ell\) m \({\dot{g}}_{\ell }^{m}\) \({\dot{h}}_{\ell }^{m}\) \(\Delta {\dot{g}}_{\ell }^{m}\) \(\Delta {\dot{h}}_{\ell }^{m}\)
1 0 7.06 0.00 [ 5.95, 8.44] [ 0.00, 0.00]
1 1 6.90 − 28.00 [ 5.65, 8.69] [− 29.49,− 26.72]
2 0 − 11.79 0.00 [− 13.51,− 10.58] [ 0.00, 0.00]
2 1 − 9.10 − 30.78 [− 10.33, − 7.74] [− 31.79,− 29.79]
2 2 − 2.67 − 22.60 [ − 3.74, − 1.58] [− 23.60,− 21.47]
3 0 1.82 0.00 [ 1.01, 2.65] [ 0.00, 0.00]
3 1 − 6.33 5.44 [ − 7.18, − 5.54] [ 4.66, 6.64]
3 2 3.05 − 1.11 [ 2.42, 3.79] [ − 1.74, − 0.43]
3 3 − 12.46 0.97 [− 13.10,− 11.73] [ 0.31, 1.71]
4 0 − 1.85 0.00 [ − 2.34, − 1.31] [ 0.00, 0.00]
4 1 − 2.09 − 0.41 [ − 2.71, − 1.59] [ − 0.88, 0.28]
4 2 − 5.98 6.88 [ − 6.49, − 5.45] [ 6.45, 7.41]
4 3 5.46 3.47 [ 5.07, 5.78] [ 3.17, 3.82]
4 4 − 5.09 − 4.29 [ − 5.51, − 4.50] [ − 4.77, − 3.92]
5 0 − 0.15 0.00 [ − 0.56, 0.25] [ 0.00, 0.00]
5 1 0.21 − 0.09 [ − 0.15, 0.55] [ − 0.41, 0.31]
5 2 − 0.60 2.55 [ − 0.86, − 0.30] [ 2.19, 2.79]
5 3 0.06 − 0.58 [ − 0.23, 0.34] [ − 0.82, − 0.36]
5 4 1.46 2.81 [ 1.27, 1.71] [ 2.60, 3.05]
5 5 1.03 0.42 [ 0.74, 1.25] [ 0.10, 0.72]
6 0 − 0.57 0.00 [ − 0.76, − 0.33] [ 0.00, 0.00]
6 1 − 0.26 0.10 [ − 0.47, − 0.08] [ − 0.09, 0.38]
6 2 0.44 − 1.61 [ 0.23, 0.64] [ − 1.79, − 1.39]
6 3 1.37 − 1.35 [ 1.22, 1.54] [ − 1.51, − 1.18]
6 4 − 1.33 0.88 [ − 1.48, − 1.18] [ 0.74, 1.04]
6 5 0.13 − 0.11 [ 0.02, 0.25] [ − 0.26, 0.01]
6 6 1.05 0.75 [ 0.90, 1.27] [ 0.59, 0.92]
7 0 − 0.09 0.00 [ − 0.20, 0.07] [ 0.00, 0.00]
7 1 − 0.26 0.60 [ − 0.36, − 0.12] [ 0.48, 0.74]
7 2 0.02 0.71 [ − 0.08, 0.17] [ 0.60, 0.83]
7 3 0.58 − 0.78 [ 0.50, 0.69] [ − 0.88, − 0.68]
7 4 0.12 − 0.16 [ 0.02, 0.21] [ − 0.25, − 0.09]
7 5 − 0.58 − 1.07 [ − 0.65, − 0.50] [ − 1.13, − 0.99]
7 6 − 0.61 0.16 [ − 0.68, − 0.52] [ 0.08, 0.22]
7 7 0.88 0.26 [ 0.78, 1.01] [ 0.13, 0.36]
8 0 0.09 0.00 [ 0.02, 0.17] [ 0.00, 0.00]
8 1 0.30 − 0.27 [ 0.22, 0.38] [ − 0.34, − 0.17]
8 2 0.16 0.62 [ 0.08, 0.24] [ 0.52, 0.72]
8 3 0.39 − 0.21 [ 0.31, 0.47] [ − 0.33, − 0.14]
8 4 − 0.03 0.56 [ − 0.09, 0.05] [ 0.49, 0.63]
8 5 0.55 − 0.41 [ 0.48, 0.60] [ − 0.48, − 0.35]
8 6 0.31 − 0.45 [ 0.24, 0.37] [ − 0.52, − 0.39]
8 7 − 0.13 0.51 [ − 0.18, − 0.05] [ 0.46, 0.59]
8 8 0.40 0.05 [ 0.32, 0.48] [ 0.00, 0.11]
  1. Coefficients \(({\dot{g}}_{\ell }^{m},{\dot{h}}_{\ell }^{m})\) and their uncertainty range \((\Delta {\dot{g}}_{\ell }^{m},\Delta {\dot{h}}_{\ell }^{m})\) are in given nT/year