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Table 5 The submitted candidate model with our estimate of its uncertainties

From: A candidate secular variation model for IGRF-12 based on Swarm data and inverse geodynamo modelling

n m \(\dot {g}_{n}^{m}\) \(\dot {h}_{n}^{m}\) \( \Delta \dot {g}_{n}^{m}\) \( \Delta \dot {h}_{n}^{m}\)
1 0 9.14 0.00 [ −1.71 …0.51] [ 0.00 …0.00]
1 1 17.58 −27.88 [ −1.30 …0.27] [ 0.00 …4.07]
2 0 −9.07 0.00 [ −1.23 …0.53] [ 0.00 …0.00]
2 1 −4.48 −27.26 [ −4.41 …1.27] [ −0.04 …2.73]
2 2 1.83 −13.52 [ −2.09 …0.12] [ −0.74 …0.55]
3 0 3.31 0.00 [ −2.52 …0.74] [ 0.00 …0.00]
3 1 −4.94 7.70 [ −1.15 …0.13] [ −0.77 …2.81]
3 2 −0.76 −0.52 [ −1.04 …0.06] [ −1.29 …0.06]
3 3 −9.63 2.50 [ −0.40 …1.97] [ −2.96 …0.08]
4 0 0.37 0.00 [ −0.72 …0.74] [ 0.00 …0.00]
4 1 −0.40 −2.54 [ −2.95 …1.71] [ −0.96 …0.44]
4 2 −9.36 5.82 [ −0.90 …2.73] [ −1.46 …0.06]
4 3 4.18 2.62 [ −0.63 …0.46] [ −0.39 …0.10]
4 4 −4.22 −4.96 [ 0.00 …1.09] [ −0.22 …1.36]
5 0 −0.12 0.00 [ −0.92 …0.95] [ 0.00 …0.00]
5 1 0.71 0.65 [ −0.37 …0.22] [ −0.45 …1.41]
5 2 −1.39 1.91 [ −0.46 …0.47] [ −1.15 …0.23]
5 3 −0.23 −1.18 [ −0.39 …0.00] [ −0.12 …1.03]
5 4 1.65 3.24 [ −0.28 …0.09] [ −0.72 …0.25]
5 5 3.98 −0.23 [ −1.09 …0.23] [ −0.48 …0.10]
6 0 0.22 0.00 [ −0.28 …0.78] [ 0.00 …0.00]
6 1 −0.26 −0.34 [ −1.52 …0.95] [ −0.68 …1.11]
6 2 −1.01 −1.34 [ −0.59 …1.14] [ −0.60 …1.47]
6 3 1.84 −0.64 [ −0.50 …0.52] [ −0.16 …0.42]
6 4 −1.13 0.39 [ −0.20 …0.05] [ −0.02 …0.81]
6 5 0.44 1.05 [ −0.18 …0.04] [ −0.27 …0.10]
6 6 1.95 0.75 [ −0.22 …0.11] [ −0.33 …0.10]
7 0 0.24 0.00 [ −0.59 …0.84] [ 0.00 …0.00]
7 1 −0.28 0.90 [ −0.14 …0.38] [ −0.37 …0.72]
7 2 −0.62 0.56 [ −0.18 …0.09] [ −0.50 …0.22]
7 3 1.15 −0.30 [ −0.44 …0.16] [ −0.28 …0.16]
7 4 0.02 −0.35 [ −0.02 …0.10] [ 0.00 …0.24]
7 5 −0.45 −0.57 [ −0.39 …0.42] [ −0.27 …0.27]
7 6 −0.55 0.07 [ −0.24 …0.05] [ −0.05 …0.07]
7 7 0.15 0.02 [ −0.19 …0.10] [ −0.32 …0.24]
8 0 0.26 0.00 [ −0.03 …0.43] [ 0.00 …0.00]
8 1 −0.13 −0.18 [ −0.52 …0.27] [ −0.70 …0.28]
8 2 −0.66 0.32 [ −0.51 …0.33] [ −0.12 …0.20]
8 3 0.16 −0.05 [ −0.07 …0.41] [ −0.23 …0.13]
8 4 −0.26 0.38 [ −0.02 …0.07] [ −0.07 …0.16]
8 5 0.65 −0.31 [ −0.20 …0.02] [ −0.09 …0.03]
8 6 0.03 −0.47 [ −0.05 …0.19] [ 0.00 …0.08]
8 7 −0.48 0.49 [ −0.05 …0.19] [ −0.07 …0.00]
8 8 0.38 −0.33 [ −0.12 …0.11] [ −0.13 …0.32]
  1. Coefficients \((\dot {g}_{n}^{m},\dot {h}_{n}^{m})\) and their uncertainty range \((\Delta \dot {g}_{n}^{m},\Delta \dot {h}_{n}^{m})\) are given in nT/year