1 Supplemental Material 2 3 Table S1. Table of PERMANOVA results comparing environmental variables 4 5 Summary of permutational multivariate analyses of variance (PERMANOVA) 6 examining differences in potential macroalgal productivity factors. Values in bold 7 indicate significant effects. df, degrees of freedom. 8 9 10 Source df MS Pseudo-F P Location 2 35.52 13.25 <0.01 Site (Location) 11 2.67 0.33 1 Residual 42 1.43 11 Table S2. Summary of GAM best fit models 12 13 Best fit models (and those within 2 AICc units) for total macroalgae and five 14 important algal species. Weighting indicates the number this model contributes to 15 summed weightings for factor influences. 16 df AICc Weighting R2 7 - 0.526 0.516 Nitrogen + Phosphorus + Turbidity 7 - 0.164 0.434 Nitrogen + Phosphorus + Temperature + Turbidity 8 0.61 0.12 0.447 Nitrogen + Phosphorous + Salinity + Turbidity 9 0.77 0.111 0.478 Phosphorous + Salinity + Turbidity 9 0.83 0.108 0.466 MPA Status + Nitrogen + Phosphorous + Turbidity 8 1.39 0.082 0.441 Phosphorous + Nitrogen + Secchi + Turbidity 8 1.66 0.071 0.45 Nitrogen + Phosphorous + Secchi + Turbidity 8 1.83 0.066 0.43 Water Movement + Nitrogen + Salinity + Secchi 10 - 0.032 0.312 Secchi 4 0.37 0.026 0.09 Null Model (No Factors) 2 0.66 0.026 0.0001 Salinity 3 0.71 0.023 0.034 Water Movement + Salinity + Secchi 4 1.06 0.022 0.274 Model Total Macroalgae Phosphorus + Salinity + Secchi + Temperature Sargassum Lobophora Salinity + Secchi 5 1.09 0.019 0.125 Phosphorous 3 1.33 0.018 0.026 Phosphorous + Secchi 5 1.4 0.016 0.155 Water Movement + Phosphorous + Salinity + Secchi 10 1.56 0.016 0.3 Nitrogen 3 1.59 0,014 0.186 Grazing + Secchi 6 1.63 0.014 0.144 Grazing 5 1.75 0.014 0.04 Water Movement + Salinity 3 1.91 0.013 0.07 Water Movement + Grazing + Salinity + Turbidity 8 - 0.087 0.322 MPA Status + Water Movement + Salinity + Turbidity 7 0.45 0.069 0.273 MPA Status + Grazing 6 1.32 0.045 0.227 MPA Status + Grazing + Salinity + Turbidity 8 1.71 0.037 0.297 Temperature 3 - 0.054 0.09 Water Movement + Temperature 4 0.99 0.053 0.114 Secchi 4 1.81 0.022 0.076 Secchi + Turbidity 5 1.96 0.02 0.131 Water Movement 3 - 0.032 0.05 Salinity 3 0.63 0.023 0.03 Null Model (No Factors) 2 0.68 0.023 0.0001 Salinity + Temperature 4 0.74 0.022 0.072 Dictyota Padina Asparagopsis Water Movement + Salinity 4 1.01 0.019 0.031 Temperature 3 1.13 0.018 0.07 MPA Status + Water Movement 4 1.16 0.018 0.062 Water Movement + Temperature 4 1.64 0.014 0.062 Phosphorous + Temperature 4 1.65 0.014 0.061 Nitrogen 4 1.7 0.014 0.058 Salinity + Turbidity 4 1.84 0.013 0.057 Water Movement + Phosphorous 4 1.91 0.012 0.057 Water Movement + Turbidity3 4 1.93 0.012 0.016 17 18 19 Table S3. Table of PERMANOVA results comparing relative grazing rates 20 21 Summary of permutational multivariate analyses of variance (PERMANOVA) 22 examining grazing rates between Sampling period, Location and MPA Status. Values 23 in bold indicate significant effects. df, degrees of freedom. 24 Source df MS Pseudo-F P Location 2 0.005 1.81 0.18 Sampling 3 0.001 0.49 0.66 MPA Status 1 0.004 1.59 0.23 Location x Sampling 6 0.005 1.97 0.1 Location x MPA Status 2 0.001 0.39 0.67 Sampling x MPA Status 3 0.001 0.37 0.78 6 0.0001 0.007 0.99 Sampling x MPA x Location Residual 25 26 32 27 28 29 Figure S1- Map of EHMP water quality sampling sites for GIS interpolations 30 Figure S2. Values for grazing rates and water movement 31 32 Values (±1 SE) for (A) grazing rates from Catenella algal deployments and (B) relative 33 water movement from clod card deployments for each site at each sampling event. 34 35 36 Figure S3- Water Quality Values 37 38 Values for (A) turbidity in nephelometric turbidity units (NTU), (B) temperature in 39 degrees Celsius, (C) salinity in parts per thousand, (D) secchi disc depth in meters, (E) 40 total nitrogen concentration in micromoles and, (F) total phosphorus concentration 41 in micromoles. 42 43 44 Figure S4- GAM Correlation plots 45 Correlation plots from GAM outputs for (A) Total Macroalgae, (B) Sargassum, (C) 46 Lobophora, (D) Dictyota, (E) Padina and (F) Asparagopsis. ‘s’ on the y axis indicates 47 the application of a smoother in the GAM function and numbers indicate the 48 estimated degrees of freedom of the smooth function. Shaded grey regions indicate 49 95% confidence intervals. 50 51 52 53 54 55 56 57 58 59 Figure S5. Grazing data grouped by MPA status 60 61 Values (±1 SE) for (A) grazing rates from Catenella algal deployments grouped by no- 62 take MPA/fished status for each location at each sampling event. Figure corresponds 63 to analysis in Table S3. 64 65 66