Ratio of M_dust/M_star plotted against stellar mass M_star (left panel) and against SFR/M_star sSFR (right). As in Fig. 4, the GRBHs observed by Herschel are indicated by filled (for IR detections) and open (IR non-detections) circles, and the other galaxy samples shown are also coded as in Fig. 4. The three curves in the right panel are the fits of sSFR vs. M_star at z = 0.2 − 0.4 (dotted lower), z = 1.0 − 1.2 (dashed middle), and z = 2.0 − 2.5 (dot-dashed upper) by Karim et al. (2011), as shown in Fig. 4, but here incorporating the dependence of M_dust on SFR as found at z ≈ 0 by da Cunha et al. (2010b). The vertical trend of the z ~ 2 curve is related to the fall-off of sSFR at high stellar masses (see Fig. 4).