Cumulative redshift distribution of the expected detections per year, in the case of LISA (dotted line, red on the web), DECIGO (dashed line, blue on the web) and NGO (solid line). For each case, j = 1, e_LSO = 0.1, t₀ = 5 yr, T_mission = 5 yr (see Tables 1–3), p = 1.06 × 10^-2, and t_loss = 10⁷ yr. Top panel: m_SMBH − m_sph relation set according to G12a. Bottom panel: m_SMBH − m_sph relation set according to MH03.