to how the latter may determine solar cycle strength and periodicity.

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   ![Results of solar dynamo simulations (with shallow meridional flow) utilizing an alternate and more complex turbulent pumping profile based on Warnecke et al. (2016). First two plots show the radial and latitudinal variation of turbulent pumping generated by analytic approximations to the Warnecke et al. (2016) results. The butterfly diagram (bottom plot) taken at the base of the convection zone ($0.71 R_\odot$) in our dynamo simulations indicate that solar-like solutions are reproduced with this alternative profile.](fig8a.eps "fig:")  
   ![Results of solar dynamo simulations (with shallow meridional flow) utilizing an alternate and more complex turbulent pumping profile based on Warnecke et al. (2016). First two plots show the radial and latitudinal variation of turbulent pumping generated by analytic approximations to the Warnecke et al. (2016) results. The butterfly diagram (bottom plot) taken at the base of the convection zone ($0.71 R_\odot$) in our dynamo simulations indicate that solar-like solutions are reproduced with this alternative profile.](fig8b.eps "fig:")  
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As there is some uncertainty regarding the exact details of turbulent pumping profiles, we have tested an alternative turbulent pumping profile based on Warnecke *et al.* (2016). Recent magnetoconvection simulations performed 