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

Fournier, Alexandre; Aubert, Julien; Lesur, Vincent; Ropp, Guillaume

doi:10.1186/s40623-020-01309-9

Earth, Planets and Space

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]

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

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