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Earth, Planets and Space
Fig. 1 | Earth, Planets and Space

Fig. 1

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

Fig. 1

a Subset of the normalized model covariance \({\mathbf {P}}^f_0\), corresponding to correlations of the poloidal magnetic field potential at the core surface \({\mathcal {P}}_\ell ^m(r_o)\) calculated from the ensemble of dynamo simulations. Note that for illustration purposes the matrix is a composite of two correlation matrices based on ensembles of different sizes: the upper half is calculated using \(N_e=512\) and the lower half with \(N_e=64\). b The associated localization matrix \({\mathbf {C}}_{\ell m}\). The matrices are organized by the stacking of the spherical harmonic degrees \(\ell\) within the corresponding order m, truncated at \(\ell =14\), and the upper insets magnify the region where \(m=m'=3\)

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