SUPPLEMENTARY MATERIAL Table S1. Overlap of area forecast to be suitable for occupation or dominance by more than one species, as a percent of the total forested area for Sonneratia alba (Sa), Rhizophora stylosa (Rs) and Ceriops tagal (Ct), for Darwin Harbour, northern Australia. Bold font and * indicates values where more than 10% overlap. s.l.r.: sea level rise. Current sea level % 0.5 m s.l.r. % 1 m s.l.r. % Sa + Rs 3.09 4.02 4.43 Sa + Ct 2.51 2.63 2.36 Rs + Ct 9.88 12.35* 11.31* Sa + Rs + Ct 0.48 0.59 0.59 Sa + Rs 2.79 3.25 3.28 Sa + Ct 0.77 0.84 0.85 Rs + Ct 7.31 7.67 5.79 Sa + Rs + Ct 0.14 0.16 0.16 Species Dominant Figure S1. Map of the study area showing the extent of the mangrove forest in Darwin Harbor, northern Australia, and location of sites surveyed. Inset map of Australia indicates the location of Darwin Harbor. Dominant contrib. - 6.2 % 1.0 1.0 Species contrib. - 4.3 % fitted response 0.6 0.4 0.2 0.2 0.4 0.0 0.0 contrib. - 6.2 % 1 20 30 5 wet (c) 10 contrib. - 12.9 % 15 fitted response 0.6 0.4 0.6 30 R.I. 12.9% 0.2 0.2 0.4 25 wet 0.8 0.8 20 (d) R.I. 6.2% 0.8 0.0 0.0 0.2 contrib. - 12.8 % 15 1 20 25 wet (e) contrib. - 18.8 % 15 fitted response 0.6 0.4 30 0.2 0.2 0.4 25 R.I. 18.8% 0.8 0.8 20 wet Ceriops tagal 0.6 0.0 0.0 0.2 5 10 (f) R.I. 12.8% 0.8 0 5 30 1.0 10 0.6 5 1.0 0 0.4 fitted response 25 1.0 15 0.6 10 0.4 5 1.0 0 Rhizophora stylosa Probability of species occurrence or dominance Sonneratia alba 0.6 0.2 fitted response R.I. 6.2% 0.8 0.8 0.8 fitted response (b) R.I. 4.3% 0.6 (a) 0.4 1 5 10 10 15 15 20 wet 20 25 25 Water salinity (ppt) 30 30 5 5 10 10 15 15 20 wet 20 25 25 30 30 Water salinity (ppt) Figure S2. Partial plots showing the probability of species occurrence (left column) or dominance (right column) of Sonneratia alba (a, b), Rhizophora stylosa (c, d) and Ceriops tagal (e, f) across a gradient in water salinity, for Darwin Harbor, northern Australia. Mean (black line) and 95% confidence (grey lines) for 1000 bootstrapped samples. R.I. relative variable importance shown in top right corner of each panel. Species Dominant contrib. - 13.9 % 1.0 1.0 contrib. - 6.4 % 1 (a) 0.8 0.4 0.2 0.2 0.4 0.0 0.0 0.2 8 6 0 slope (c) 4 6 8 slope R.I. 7.1% 0.8 0.8 contrib. - 7.1 % (d) R.I. 14.6% 0.6 fitted response 0.8 0.4 0.6 0.2 0.4 0.2 fitted response 2 1.0 4 0.6 1.0 1 contrib. - 14.6 % 0.4 2 0 Rhizophora stylosa Probability of species occurrence or dominance 0.6 0.6 fitted response R.I. 13.9% 0.6 0 R.I. 6.4% Sonneratia alba fitted response 0.8 0.4 0.8 (b) 0.0 0.0 0.2 4 6 0 8 slope (e) contrib. - 6.4 % 4 R.I. 6.4% 0.8 0.8 fitted response 0.6 0.4 0.2 0.2 0.4 8 Ceriops tagal 0.6 6 slope (f) R.I. 16.8% 0.8 fitted response 2 1.0 1 contrib. - 16.8 % 0.6 2 0.4 0 1.0 0 0.0 0.0 0.2 0 0 2 4 0 2 4slope 6 8 6 8 Slope (degrees) 0 0 2 2 4 4slope 6 8 6 8 Slope (degrees) Figure S3. Partial plots showing the probability of species occurrence (left column) or dominance (right column) of Sonneratia alba (a, b), Rhizophora stylosa (c, d) and Ceriops tagal (e, f) across a gradient in slope, for Darwin Harbor, northern Australia. Mean (black line) and 95% confidence (grey lines) for 1000 bootstrapped samples. R.I. relative variable importance shown in top right corner of each panel. Pro ba bili ty of S. alb a1 m s.l.r . Pr ob abi lity of S. alb a1 m s.l. r. Pr ob ab ilit y of R. sty los a 1 Pr m ob s.l. abi r. lity of R. sty los a1 m s.l. r. Figure S4. Heat map (or two-dimensional histogram) showing invasion and competition, in left panels (a and c), for Sonnerati alba invading Rhizophora stylosa ; and in right panels (b and d), for R. stylosa invading Ceriops tagal after a sea level rise (s.l.r.) of 1 m, for species occupancy and dominance, in Darwin Harbor, northern Australia. The probability of occurrence of the invaded organism at current sea levels on the x-axis is plotted against the probability of the invading organism after a 1 m sea level rise on the y-axis, with axes divided into 50 equal bins. Point colors indicate the frequency of combinations of predicted occupancy in each bin. In the lower panel, Eoverlap is a maximum of 1 in the top right of the graph and decreases toward the lower and left portions. Region (i) indicates invasion with low competition, as there is a high probability of the invading species and low probability of the invaded species, hence intermediate Eoverlap; (ii) indicates invasion with high competition, as there is a high probability of both the invaded and invading species, hence maximum Eoverlap; regions (ii) and (iv) indicate no invasion, as there is a low probability of the invading species, yet Eoverlap is greater in region (iv).