\begin{table}%t1 \par \caption{\label{table_A}Summary of the different cases studied and the values of $R_{\rm e}$ and $C_\Omega$ used in the 2D Babcock-Leighton models.} \small%\centerline { \begin{tabular}{cccccc} \hline \hline Case & $\Omega_{0}/\Omega_{\rm S}$ & MCKE/$10^4$ & $v_\theta^{\rm scale}$ & $\vec{R}_{\rm e}/10^2$ & $\vec{C}_{\Omega}/10^5$ \\ \hline G0.25 & 0.25 & 23.4 & 28.7 & 20.1 & 0.351 \\ G0.5 & 0.5 & 16.2 & 23.9 & 16.7 & 0.702 \\ G0.6 & 0.6 & 12.3 & 20.9 & 14.6 & 0.842 \\ G0.75 & 0.75 & 4.75 & 12.9 & 9.06 & 1.05 \\ G0.9 & 0.9 & 3.09 & 10.4 & 7.29 & 1.26 \\ G1 & 1 & 2.84 & 10.0 & 7.00 & 1.40 \\ G1.25 & 1.25 & 2.18 & 8.76 & 6.13 & 1.75 \\ G1.5 & 1.5 & 1.98 & 8.36 & 5.85 & 2.11 \\ G1.75 & 1.75 & 1.68 & 7.70 & 5.39 & 2.46 \\ G2 & 2 & 1.52 & 7.33 & 5.13 & 2.81 \\ G3 & 3 & 1.11 & 6.25 & 4.38 & 4.21 \\ G4 & 4 & 0.767 & 5.20 & 3.64 & 5.62 \\ G5 & 5 & 0.711 & 5.01 & 3.51 & 7.02 \\ G6 & 6 & 0.626 & 4.70 & 3.29 & 8.42 \\ G7 & 7 & 0.497 & 4.18 & 2.93 & 9.83 \\ G10 & 10 & 0.359 & 3.56 & 2.49 & 14.0 \\ \hline \end{tabular} } \smallskip The value of $\eta_{\rm t}$ is fixed to $10^{11} ~~ \rm cm^2~s^{-1}$ and the value of $s_0$ is fixed to $50 ~~ \rm cm~s^{-1}$. The stellar rotation rate $\Omega_{0}$ is given in terms of the solar rotation rate $\Omega_{\rm S}$. $v_\theta^{\rm scale}$ represents the amplitude of $v_\theta$ at the surface at $45^{\circ}$ and is imposed equal to $10 ~~ \rm m~s^{-1}$ for case G1, representing the reference solar mean field dynamo model.\vspace{-2mm} \end{table}