Temporal evolution of the contributions to the mass and energy balances. Panel (a) shows the balance for the mass flux as detailed in Eq. E.1. The three curves show the mass flux at the bottom at 5 Mm, ℳ₀ (orange), near the top at 27 Mm, ℳ₁ (green), and the mass flux through interchange reconnection from closed to open regions, ℳ_R (blue). Positive values indicate net upward propagating flux (ℳ₀, ℳ₁) and flux transport from closed to open regions (ℳ_R). In a similar way panel (b) shows the contribution to the magnetic energy flux balance as detailed in Eq. E.2 with 𝒮₀ (orange), 𝒮₁ (green), and 𝒮_R (blue) indicating the fluxes at the top, bottom and through interchange reconnection, respectively. Also work done by the Lorenz force and dissipation change the magnetic energy. Hence, we add the respective term 𝒮_D (red) from Eq. E.2 to this plot, with negative values indicating a loss of magnetic energy. The purple dotted lines in both panels indicate zero flux. The grey-shaded region indicates the period shown in Fig. E.2.