Various integrated quantities as a function of time, for the non-axisymmetric simulations (periods A and B). Panel a) shows the total photospheric magnetic flux ∫_{r = r0} | B_r | dΩ, panel b) shows the total open flux ∫_{r = r1} | B_r | dΩ, panel c) shows ∫_D | j | dV, panel d) shows H_N (asterisks) and H_S (circles), and panel e) shows the root-mean-square field line helicity . The vertical grey lines indicate times of strong flux rope ejections, as explained in the text.