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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