TABLE 2.

Results of linear mixed effects models (LMER) and generalized linear mixed effect models (GLMER) testing the effect of coral cover categories (low, medium, high) on the 10 metrics; and results of chi‐squared tests examining whether sites in the 90th or 75th percentile for each metric are distributed in coral cover categories proportional to the number of sites in each category. Shading corresponds to significance level (blue) and effect size (green)

Response	LMER a		GLMER b		LMER (1° grid cell effect) c		Chi‐squared (90th percentile)	Chi‐squared (75th percentile)
	p‐value	Effect size	p‐value	Effect size	p‐value	Effect size	p‐value	p‐value
Vertical relief	<.001	0.794 (medium‐large)	<.001	0.671 (medium)	<.001	0.711 (medium‐large)	.048	<.001
Calcareous macroalgae cover	.067	0.171 (small)	.106	0.172 (small)	.366	0.169 (small)	.120	.074
Coral recruit density	<.001	0.500 (medium)	<.001	0.714 (medium‐large)	<.001	0.540 (medium)	<.001	<.001
Coral calcification rate	<.001	2.384 (large)	<.001	2.562 (large)	<.001	3.052 (large)	<.001	<.001
Coral species richness	<.001	2.774 (large)	<.001	2.784 (large)	<.001	2.487 (large)	<.001	<.001
Herbivore biomass	.307	0.031 (small)	.071	0.148 (small)	.408	0.029 (small)	.015	.074
Potential fishery value d	.266	0.124 (small)	.594	0.016 (small)	.260	0.043 (small)	.382	.521
Density of large fish	.118	0.206 (small)	.061	0.059 (small)	.273	0.087 (small)	.040	.593
Parrotfish bioerosion rate d	<.001	0.114 (small)	.001	0.082 (small)	.001	0.101 (small)	.016	.039
Fish species richness	.216	0.251 (small)	.211	0.251 (small)	.002	0.698 (medium‐large)	.900	.298

^aLMER with ecoregion and year as random effects and depth and coral cover category as fixed effects.

^bSee Table S2 in the Supporting Information for model details.

^cLMER with 1° grid cells and year as random effects and depth and coral cover category as fixed effects, except for vertical relief model where year was also a fixed effect to avoid a boundary error.

^dData violate normality assumptions of LMER.