Metadata ID First_Author Year Country Habitat Latitude Longitude Measurement.Type n Variable Depth_Control h Tp B hv Hs.i Hs.iErr Hs.t Hs.tErr R Source_Text Unit None Year None None Decimal Degrees Decimal Degrees None None None Yes/No metres seconds metres metres metres metres metres metres Percentage None Description First named author of paper/report from which data was obtained Published year of paper/report from which data was obtained Country of field site Habitat type (CRC: Coral Reef Crest; CRF: Coral Reef Flat; CRW: Coral Reef Whole; MG: Mangrove; SG: Seagrass/Kelp bed; SM: Salt-Marsh) Latitude of field site Longitude of field site Type of record Number of observations Wave height variable measured (Hs: Significant wave height; Hrms: Root mean square wave height; H/Ho: Ratio of final to initial wave height; 1-Hs/Hs0: 1 - ratio of final to initial wave height; E/E0: Ratio of initial to final Wave Energy) Whether the study controlled for variations in depth by measuring wave heights on multiple transects with and without vegetation average measured water depth at field site measured wave period at field site or nearest offshore wave buoy location measured across-shore width of habitat at field site average measured height of vegetation at field site Control wave height (wave height measured before/without the habitat) at field site Standard error in control wave height measurement Treatment wave height (wave height measured after/with the habitat) at field site Standard error in treatment wave height measurement Estimated wave height reduction (R=Hs.t/Hs.i); used as the effect size variable for the meta-analyses (see SI Methods) Location(s) of wave height data source(s) in paper/report (fig_num indicates a figure with its number; tab_num indicates a table and its number; sct_num indicates a paper section with its number) Data ID First_Author Year Country Habitat Latitude Longitude Measurement.Type n Variable Depth_Control h Tp B hv Hs.i Hs.iErr Hs.t Hs.tErr R Source_Text 1 LugoFernandez 1998 USA CRC 17.75686667 -64.70662778 Field_Observation 110 Hs No 7 11 60 NaN 0.3 0.05 0.17 0.03 0.433333333 figs_2_5 2 Lowe 2009 USA CRC 21.46237222 -157.810075 Field_Observation 10 Hs No 8.1 NaN NaN NaN 1.7 0.52 0.67 0.07 0.605882353 fig_7 3 Lowe 2009 USA CRC 21.46237222 -157.810075 Field_Observation 25 Hrms No 7.9 NaN NaN NaN 1.94 0.55 0.58 0.07 0.701030928 fig_4 4 Taebi 2011 Australia CRC -22.20418333 113.8409028 Field_Observation 15 H No 14 12 500 NaN 1.01 0.36 0.23 0.11 0.772277228 fig_4 5 Falter 2004 USA CRF -22.20418333 113.8409028 Field_Observation 3 Hrms No 2 10 300 NaN 0.44 0.13 0.18 0.06 0.590909091 tab_1 6 Hardy 1996 Australia CRF -18.635518 147.047543 Field_Observation 10 Hs No 3 6 145 NaN 0.56 0.18 0.38 0.1 0.321428571 fig_5 7 Kench 2009 Maldives CRF 4.178458 73.507028 Field_Observation 5 Hs No 0.93 8 35 NaN 0.18 0.02 0.15 0.08 0.166666667 fig_5 8 Kench 2009 Maldives CRF 4.178458 73.507028 Field_Observation 5 Hs No 0.8 8 34 NaN 0.24 0.06 0.24 0.07 0 fig_5 9 Kench 2009 Maldives CRF 4.178458 73.507028 Field_Observation 5 Hs No 0.73 8 48 NaN 0.07 0.01 0.06 0.02 0.142857143 fig_5 10 Kench 2009 Maldives CRF 4.178458 73.507028 Field_Observation 5 Hs No 1.2 8 42 NaN 0.07 0.01 0.08 0.01 -0.142857143 fig_5 11 Jago 2007 Australia CRF -24.112885 152.714014 Field_Observation 3 Hs No 1 7 40 NaN 0.3 0.09 0.24 0.14 0.2 fig_5 12 Brander 2004 Australia CRF -10.208695 142.822829 Field_Observation 3 Hs No 3.5 4 2095 NaN 0.41 0.1 0.15 0.07 0.634146341 fig_7a 13 Samosorn 2008 Australia CRF -10.208695 142.822829 Field_Observation 39 Hmo No 1 5 3200 NaN 0.72 0.36 0.28 0.11 0.611111111 figs_4_8_11_13_15 14 Zhu 2004 China CRF 9.321459 112.423494 Field_Observation 18 H/Ho No 1.15 NaN 210 NaN 1 0 0.7078 0.071 0.2922 tab_1 15 Zhu 2004 China CRF 9.321459 112.423494 Field_Observation 85 H/Ho No 1.12 NaN 184 NaN 1 0.1 0.6538 0.1194 0.3462 tab_1 16 Ford 2013 Marshall_Islands CRF 7.118544 171.185847 Field_Observation 20 Hs No 1.08 13 55 NaN 0.46 0.12 0.44 0.13 0.043478261 fig_8 17 Mandlier 2013 Maldives CRF 4.868422 72.997745 Field_Observation 5 Hs No 1.4 10 173 NaN 0.34 0.1 0.28 0.09 0.176470588 fig_4c 18 Mandlier 2013 Maldives CRF 0.350269 73.538188 Field_Observation 5 Hs No 1.8 10 146 NaN 0.18 0.04 0.19 0.03 -0.055555556 fig_4d 19 Ogawa 2013 New_Zealand CRF -36.603441 174.70932 Field_Observation 6 Hmo No 1.6 7 35 NaN 0.75 0.19 0.22 0.04 0.706666667 figs_4_6 20 Lugo-Fernandez 1998 USA CRW 17.75686667 -64.70662778 Field_Observation 8 Hs No 1.2 10 225 NaN 0.57 0.07 0.18 0.04 0.684210526 fig_7 21 Lowe 2005 USA CRW 21.46237222 -157.810075 Field_Observation 5 Hrms No 1.6 8 700 NaN 1.51 0.13 0.21 0.07 0.860927152 fig_5 22 Storlazzi 2004 USA CRW 21.06532 -157.001772 Field_Observation 15 Hs No 1.2 8.66 750 NaN 0.32 0.09 0.06 0.03 0.8125 fig_4 23 Kench 2006 Australia CRW -12.178498 96.8159 Field_Observation 8 H No 0.5 NaN 100 NaN 1 0.1 0.047 0.0047 0.953 tab_3 24 Kench 2006 Australia CRW -12.178498 96.8159 Field_Observation 9 H No 0.3 NaN 1100 NaN 1 0.1 0.003 0.0003 0.997 tab_3 25 Kench 2006 Australia CRW -12.178498 96.8159 Field_Observation 5 H No 0.05 NaN 2700 NaN 1 0.1 0.1035 0.01 0.8965 tab_3 26 Kench 2006 Australia CRW -12.178498 96.8159 Field_Observation 5 H No 0.85 NaN 392 NaN 1 0.1 0.1735 0.017 0.8265 tab_3 27 Kench 2006 Australia CRW -12.178498 96.8159 Field_Observation 5 H No 0.75 NaN 58 NaN 1 0.1 0.53 0.053 0.47 tab_3 28 Pequignet 2011 Guam CRW 13.43736944 144.7925778 Field_Observation 50 Hs No 0.6 6.82 530 NaN 1.26 0.69 0.04 0.02 0.968253968 fig_5 29 Pomeroy 2010 Australia CRW -22.20418333 113.8409028 Field_Observation 10 Hrms No 1.5 14.65 1141 NaN 1.23 0.55 0.12 0.07 0.902439024 figs_3_8 30 Huang 2012 Australia CRW -24.112885 152.714014 Field_Observation 15 Hs No 0.7 7.38 300 NaN 1.54 0.53 0.22 0.08 0.857142857 fig_4 31 Jeanson 2013 Mayotte CRW -12.996665 45.16286 Field_Observation 5 Hs No 0.71 5.01 310 NaN 0.79 0.33 0.21 0.09 0.734177215 figs_4_6c_7b 32 Jeanson 2013 Mayotte CRW -12.724435 45.196878 Field_Observation 5 Hs No 0.55 NaN 310 NaN 0.75 0.56 0.14 0.13 0.813333333 figs_4_6c_7b 33 Filipot 2012 USA CRW 21.583283 -158.208478 Field_Observation 192 Hs No 5 13 1000 NaN 1.67 0.59 0.37 0.08 0.778443114 fig_8 61 Christianen 2013 Indonesia CRW 2.312071 118.100214 Field_Observation 650 Hs No 1.26 5.5 617 0.05 0.4 0.12 0.23 0.19 0.425 tab_1 36 Brinkman 2006 Australia MG -19.27861111 146.8461111 Field_Observation 19 Hs No 1.2 4.7 260 1.1 0.04 0.01 0.02 0.002 0.5 figs_5_8_p23_p34 37 Brinkman 2006 Australia MG -19.27916667 146.985 Field_Observation 21 Hs No 1 4.7 80 1.1 0.15 0.05 0.05 0.02 0.666666667 figs_5_8_tab_5pt2_p34 38 Brinkman 2006 Japan MG 24.39583333 123.8138889 Field_Observation 14 Hs No 0.8 6 50 1.1 0.06 0.02 0.05 0.01 0.166666667 figs_5_8_tab_5-3_p34 39 Narra 2012 Thailand_Kantang MG 7.367777778 99.47222222 Field_Observation 8 Hs No 1.6 6.25 242 1 0.039541 0.0242 0.0283 0.0182 0.284920139 fig_26_tabs_7_16 40 Narra 2012 Thailand_Palian MG 7.056388889 99.68944444 Field_Observation 10 Hs No 2.2 8.5 106 1 0.068234 0.0104 0.0352 0.0116 0.484784135 fig_20_tabs_7_16 41 Quartel 2007 Vietnam MG 20.69 106.7919444 Field_Observation 8 Hrms Yes 1.65 5 31.8 NaN 0.187038 0.0493 0.1801 0.0491 0.037003176 figs_3_5_6 42 VoLuong 2006 Vietnam MG 10.38444444 106.8688889 Field_Observation 3 Hs No 1.9 0.66 88 NaN 0.379937 0.0438 0.1493 0.0474 0.607068607 figs_3_5_p29 43 VoLuong 2006 Vietnam MG 10.38444444 106.8688889 Field_Observation 3 Hs No 2.1 0.66 88 NaN 0.381935 0.0323 0.1742 0.0718 0.544004289 figs_3_5_p29 44 VoLuong 2006 Vietnam MG 10.38444444 106.8688889 Field_Observation 3 Hs No 2.5 0.66 88 NaN 0.38731 0.0214 0.2198 0.0567 0.432422441 figs_3_5_p29 45 Mazda 1997 Vietnam MG 20.57 106.5908333 Field_Observation 45 1-Hs/Hs0 No 1.1 5 100 0.1 1 0.0518 0.9455 0.0184 0.054462 fig_6b 46 Mazda 1997 Vietnam MG 20.57 106.5908333 Field_Observation 41 1-Hs/Hs0 No 1.1 5 100 0.4 1 0.0518 0.8819 0.0214 0.11813 fig_6b 47 Mazda 1997 Vietnam MG 20.57 106.5908333 Field_Observation 68 1-Hs/Hs0 No 1.1 5 100 1 1 0.0518 0.8186 0.0174 0.18144 fig_6b 48 Mazda 2006 Vietnam MG 20.65611111 106.6858333 Field_Observation 31 Hs Yes 1.2 10 100 0.8 0.103283 0.0445 0.0903 0.0622 0.125820279 fig_7 49 Bao 2011 Vietnam MG 20.97333333 107.2044444 Field_Observation 4 Hs No NaN NaN 100 1.6 0.30747 0.1744 0.1059 0.0317 0.655457434 fig_3 58 Paul 2011 UK SG 50.73444444 -1.151388889 Field_Observation 4 Hs No NaN 3.815 300 0.1225 0.0625 0.001 0.0481 0.0084 0.2304 figs_7_9_tab1_tab2 59 Infantes 2012 Spain SG 39.591918 3.38635 Field_Observation 12 Hrms Yes NaN 7 942 0.8 0.970965 0.0144 0.4935 0.0579 0.491695375 figs_4_5 60 Infantes 2012 Spain SG 39.591918 3.38635 Field_Observation 9 Hrms Yes NaN 7 942 0.8 0.954165 0.0059 0.6362 0.0736 0.333232722 figs_4_5 62 Mork 1996 Norway SG 63.020885 7.227415 Field_Observation 2 E/E0 No NaN 12 258 1.6 1 0.1 0.4745 0.0004 0.5255 fig_2a_fig_2b 63 Elwany 1995 USA SG 33.157295 -117.362035 Field_Observation 67 Hs/Hs0 Yes 10 12 350 NaN 0.15 0.015 0.1425 0.14 0.05 fig_6 69 Bradley 2009 USA SG 30.354261 -87.030182 Field_Observation 46 Hs No 0.94 0.8 43.3 0.275 0.093 0.005 0.063 0.0124 0.324034335 fig_2_tab_1 34 Lovstedt 2010 Sweden SM 55.7 13.46666667 Field_Observation 7 Hrms No 0.41 1 4.5 2 0.05 0.005 0.0389 0.0608 0.22222 figs_5_6_tab_1_p_226 35 Lovstedt 2010 Sweden SM 55.7 13.46666667 Field_Observation 8 Hrms No 1.3 0.8 9 2 0.03 0.003 0.0208 0.0597 0.307833333 figs_5_6_tab_1_p_226 50 Cooper 2005 UK SM 53.01611111 0.208888889 Field_Observation 77 H/Ho Yes 3.65 16 425 0.08 0.116942 0.038 0.0163 0.0805 0.860426536 figs_5_6_tabs_5_6_7_p36 51 Moller 2002 UK SM 51.68222222 0.9425 Field_Observation 19 Hs/Hs0 Yes 0.68 2.64 163 NaN 0.168726 0.003 0.0216 0.0105 0.872179258 fig_6_p_512 52 Moller 2002 UK SM 51.68222222 0.9425 Field_Observation 23 Hs/Hs0 Yes 0.65 2.82 10 NaN 0.261214 0.574 0.0697 0.006 0.733333333 fig_6_p_512 53 Moller 1999 UK SM 52.96777778 0.903611111 Field_Observation 73 Hs Yes 1.39 3.86 378 NaN 0.245659 0.0988 0.1132 0.1641 0.539133514 tab_2 54 Knutson 1982 USA SM 37.2800167 -76.0278639 Field_Observation 14 Hs/Hs0 No NaN NaN 30 NaN 0.18 0.0122 0.01 0.0055 0.944444444 tab_2 55 Chung 2006 China SM 38.725 117.5480556 Field_Observation 2 Hs/Hs0 No NaN NaN 20 3.5 1 0.1 0.3465 0.019 0.6535 sct_3113 56 BCDC 2013 USA SM 37.72027778 -122.3197222 Field_Observation 5 Hs No 0.82 2.5 152 NaN 0.303 0.0303 0.03 0.003 0.900990099 fig_4_1_sct411 57 Morgan 2009 USA SM 43.40666667 -70.54138889 Field_Observation 3 Hs Yes 0.85 NaN 7 2.75 0.077114 0.0332 0.0471 0.1027 0.38877506 fig_9_p486 64 Ysebaert 2013 China SM 31.5336 121.9667 Field_Observation 15 Hs No 1.4 NaN 30 0.84 0.5 0.05 0.3 0.02 0.6 tab_1_tab_2_fig_3a 65 Yang 2009 China SM 31.5 122 Field_Observation 39 Hs No 1.22 NaN 27.5 0.97 0.162 0.071 0.1 0.062 0.6173 fig_3a 66 Vuik 2015 Netherlands_Hellegat SM 51.45 4.2 Field_Observation 30 Hs No 1.28 NaN 50 0.26 0.63 0.063 0.2457 0.025 0.39 tab_1 67 Vuik 2015 Netherlands_Bath SM 51.4 4.21 Field_Observation 29 Hs No 1.02 NaN 50 0.22 0.49 0.049 0.1568 0.016 0.32 tab_1 68 Vuik 2015 Netherlands_Groningen SM 51.4 4.21 Field_Observation 4 Hs No 1.33 NaN 300 NaN 0.68 0.068 0.265 0.026 0.610294118 tab_1