1 ESM: Water flow 2 We obtained rough estimates of the water flow at each sampling location to identify whether there 3 were any obvious differences in water flow among coral categories. Water flow was estimated by 4 measuring the number of seconds that it took a 20 ml volume of red dye to traverse 1 m, and is 5 reported in m s-1. Five measurements were taken at each of the 12 locations at the time of sampling for 6 ecological data. The effect of coral category location on flow was examined using a linear mixed 7 effects model with site (1–4) as a random factor. Categories were locations with corals absent in 8 satellite imagery both before and after subsidence (Absent), corals absent before and present after 9 subsidence (Change) and corals present both before and after subsidence (Present). From this analysis 10 we inferred whether there were any substantial differences in water flow among the Absent, Present, 11 and Change locations. 12 There was no significant effect of coral category on flow (Table 1; Fig.1), suggesting that variations 13 in water flow did not affect whether coral colonized some locations and not others following 14 subsidence. However, data should be interpreted with caution, as water flow varies substantially over 15 coral reef flats depending on wind and tidal conditions, which were not controlled for in this study. 16 Furthermore, to provide conclusive evidence of the effect of water flow on colonization of the reef 17 flat, water flow measurements before and after subsidence would have been required, which were not 18 possible given the circumstances. 19 Table 1 Results of generalized linear mixed-effects models (fixed effects only) for water flow (m s-1) 20 observed in three location categories [corals absent in satellite imagery both before and after 21 subsidence (Absent), corals absent before and present after subsidence (Change) and corals present 22 both before and after subsidence (Present)] on the coral reef flat in Roviana Lagoon, Western 23 Province, Solomon Islands, in May 2013. Estimates are model coefficients, reported with standard 24 errors (SE) and t values. Estimate Fixed Effects SE t value Flow Intercept (Absent) Change Present Pairwise comparisons 0.1202 -0.0074 -0.0076 0.035000 0.013352 0.013352 3.434 -0.555 -0.570 Absent = Change = Present 25 26 2 27 28 29 Fig. 1 Variability in water velocity (m s-1) among location categories on the reef flat at Kundu Kundu, 30 Roviana Lagoon, Solomon Islands, where 0.6 m subsidence occurred in 2007. Absent: corals absent 31 in satellite imagery both before and after subsidence, Change: corals absent before and present after 32 subsidence, Present: corals present both before and after subsidence 33 34 3