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\begin{document}


\begin{figure}[H]
\begin{center}
      \includegraphics[width=0.8\linewidth]{./figure1.eps}
\caption{Stationary state energy spectra at the Earth's surface of the different magnetic sources given in table 1.
Black and red circles are the energy spectra of respectively the  CHAOS-6.9 core field model of \cite{Finlay2016}
in $2015.0$ and the LCS-1 lithopsheric field model of \cite{Olsen2017}.
}
\label{priorSpectra}
\end{center}
\end{figure}

\begin{figure}[H]
\begin{center}
      \includegraphics[width=0.95\linewidth]{./figure2.eps}
\caption{Energy spectra at the Earth's surface in $2015.0$ of the mean (continuous lines) standard deviation (dashed lines)
and initial prior standard deviation (circles) associated with the core field (thin black lines and symbols), the lithopsheric field
(gray lines and symbols) and the sum of the core and lithopsheric fields (thick black lines).
}\label{internalSpectra}
\end{center}
\end{figure}

\begin{figure}[H]
\begin{center}
      \includegraphics[width=0.95\linewidth]{./figure3.eps}
\caption{ Energy spectra at the Earth's surface in $2015.0$ associated with the main field (left) and the secular variation (right). Thin gray lines and symbols and thick black lines and symbols, correspond to the solutions of the Kalman filter and the smoothing algorithms respectively. The thin black lines and symbols are associated with the outcomes of a $2010.0-2015.0$ forecast simulation.  Continuous and dashed lines are assigned to the energy spectra of respectively the different mean solutions and their associated standard deviation. Triangles and circles represent the spectra of the difference between the Kalmag mean models and the DGRF model in $2015.0$ for the main field and the CHAOS-6.9 model for the secular variation respectively. }\label{spectraComparison}
\end{center}
\end{figure}

\begin{figure}[H]
\begin{center}
      \includegraphics[width=0.95\linewidth]{./figure4.eps}
\caption{Time series between $2000.0$ and $2025.0$ of the radial (left) azimuthal (middle) and longitudinal (right) secular variation evaluated at the level of the following ground based observatories: Qaanaaq (THL), Niemegk (NGK), M'Bour (MBO), Tuntungan (TUN), Hermanus (HER) and Mawson (MAW).}\label{SVobs}
\end{center}
\end{figure}

\begin{figure}[H]
\begin{center}
      \includegraphics[width=0.95\linewidth]{./figure5.eps}
\caption{Energy spectra at the Earth's surface of the difference between every IGRF-13 candidate model, and the latest version of the Kalmag model (continuous lines) as well as the CHAOS-7.2 model of \cite{Finlay2020} (dashed lines) in $2020.0$. The spectra associated with the Kalmag candidate are highlighted by thick black lines.}\label{IGRFcomparisons}
\end{center}
\end{figure}

\newpage


\begin{thebibliography}{32}
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\bibitem[{\textit{{Finlay} et~al.}(2016)\textit{{Finlay}, {Olsen}, {Kotsiaros},
  {Gillet}, and {T{\o}ffner-Clausen}}}]{Finlay2016}
{Finlay}, C.~C., N.~{Olsen}, S.~{Kotsiaros}, N.~{Gillet}, and
  L.~{T{\o}ffner-Clausen} (2016), {Recent geomagnetic secular variation from
  Swarm and ground observatories as estimated in the CHAOS-6 geomagnetic field
  model}, \textit{Earth, Planets, and Space}, \textit{68}, 112,
  \doi{10.1186/s40623-016-0486-1}.
  
\bibitem[{\textit{{Finlay} et~al.}(2020)\textit{{Finlay}, {Kloss}, {Olsen},
  {Hammer}, and {T{\o}ffner-Clausen}}}]{Finlay2020}
{Finlay}, C.~C., C.~{Kloss}, N.~{Olsen}, M.~{Hammer}, and
  L.~{T{\o}ffner-Clausen} (2020), {DTU candidate models for IGRF-13},
  \textit{Earth, Planets, and Space}.
  
  \bibitem[{\textit{{Olsen} et~al.}(2017)\textit{{Olsen}, {Ravat}, {Finlay}, and
  {Kother}}}]{Olsen2017}
{Olsen}, N., D.~{Ravat}, C.~C. {Finlay}, and L.~K. {Kother} (2017), {LCS-1: a
  high-resolution global model of the lithospheric magnetic field derived from
  CHAMP and Swarm satellite observations}, \textit{Geophysical Journal
  International}, \textit{211}(3), 1461--1477, \doi{10.1093/gji/ggx381}.

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