Emergent intensity in the Ca ii K line: temporal evolution of the line core intensity (top row) and time-averaged spectrum (bottom row) at the solar limb (μ = 0.05, left column) and at disk-centre (μ = 1.0, right column). Each panel contains the results from the non-equilibrium simulation (I_K,TD, solid) and from the statistical equilibrium solution (I_K,SE, red thick dashed) together with the corresponding difference (I_K,TD − I_K,SE) / I_K,SE) between both (solid grey line at the top of each panel). The grey areas in the bottom panels represent the full data ranges of all intensity profiles during the simulation sequence between t = 600 s and t = 2350 s.