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Table 1 SV coefficients and their uncertainties from our candidate model, based on the instantaneous SV in 2020 issued from the assimilation of COV-OBS and Kalmag in nT/year

From: Predictions of the geomagnetic secular variation based on the ensemble sequential assimilation of geomagnetic field models by dynamo simulations

\(\ell\)

m

\({\dot{g}}_\ell ^m\)

\({\dot{h}}_\ell ^m\)

\(\sigma [{\dot{g}}_\ell ^m]\)

\(\sigma [{\dot{h}}_\ell ^m]\)

1

0

6.78

0.00

0.86

0.00

1

1

6.55

− 24.29

1.02

1.10

2

0

− 10.87

0.00

0.93

0.00

2

1

− 6.67

− 29.61

0.75

0.72

2

2

− 2.97

− 22.56

0.65

0.62

3

0

1.91

0.00

0.67

0.00

3

1

− 5.79

6.52

0.54

0.59

3

2

2.62

− 0.76

0.47

0.45

3

3

− 12.16

0.55

0.50

0.45

4

0

− 1.39

0.00

0.40

0.00

4

1

− 1.62

− 0.78

0.45

0.45

4

2

− 5.87

6.47

0.41

0.37

4

3

5.30

3.69

0.36

0.32

4

4

− 5.35

− 5.22

0.33

0.35

5

0

− 0.42

0.00

0.31

0.00

5

1

0.41

− 0.18

0.32

0.37

5

2

− 0.33

2.42

0.29

0.30

5

3

0.11

− 0.51

0.29

0.28

5

4

1.52

3.25

0.22

0.22

5

5

1.71

0.40

0.24

0.28

6

0

− 0.61

0.00

0.20

0.00

6

1

− 0.41

− 0.29

0.22

0.22

6

2

0.31

− 1.66

0.23

0.22

6

3

1.45

− 1.09

0.19

0.18

6

4

− 1.28

0.47

0.20

0.20

6

5

− 0.04

0.17

0.16

0.17

6

6

1.17

1.25

0.18

0.19

7

0

− 0.19

0.00

0.12

0.00

7

1

− 0.15

0.49

0.14

0.16

7

2

− 0.04

0.47

0.15

0.14

7

3

0.74

− 0.57

0.15

0.13

7

4

0.17

− 0.19

0.14

0.13

7

5

− 0.66

− 1.09

0.13

0.12

7

6

− 0.80

0.14

0.12

0.11

7

7

0.71

0.19

0.13

0.13

8

0

0.07

0.00

0.09

0.00

8

1

0.32

− 0.43

0.10

0.10

8

2

− 0.13

0.29

0.11

0.10

8

3

0.43

0.00

0.10

0.09

8

4

− 0.23

0.40

0.10

0.10

8

5

0.26

− 0.47

0.08

0.08

8

6

0.17

− 0.30

0.08

0.09

8

7

− 0.09

0.42

0.07

0.07

8

8

0.39

− 0.03

0.08

0.09