Figure 2

The distributions of three obligate coral feeding butterflyfishes (aligned in rows) in relation the combined and isolated effects of water depth (0–50 m), total coral cover (0–80%) and pigmented coral cover (0–60%). The left column (a,e,i) shows butterflyfish densities along the depth gradient, without conditioning for the effects of coral cover and pigmented corals. The second column (b,f,j) shows butterflyfish density along the same depth gradient, after conditioning for the effects of coral cover gradients. In this column, (f) shows a significant interaction between depth and total coral cover (i.e., regardless of bleaching condition), with the later held constant at 5% (red), 30% (pink), and 60% (blue). The third column (c,g,k) shows the effects of total coral cover isolated from depth and pigmented coral cover. In this column, (g) shows an interaction with depth held constant at shallow (3 m — green), intermediate (15 m — blue) and upper mesophotic (30 m — orange) depths. The final column (d,h,l) shows the effects of pigmented coral cover after conditioning on coral cover and depth effects. NS signifies non-supported hypotheses, which are further highlighted with dashed mean-effect lines and greyed-out confidence intervals. See Supplemental Fig. S7 for more information about conditioning on covariates to isolate main effects.