Results for our six simulations. Upper panel: global reionisation histories, for H II and He II. The dotted horizontal line marks the reionisation midpoint z_re. Lower panel: angular kSZ power spectrum after fitting Eq. (15) to the P_ee(k, z) data points from our six simulations (thick solid line) compared to the spectra obtained when interpolating the data points for each simulation (thin solid lines). Error bars correspond to the propagation of the 68% confidence interval on the fit parameters. The data point corresponds to constraints from Reichardt et al. (2020) at ℓ = 3000.