Supplementary Material for The importance of structural complexity in coral reef ecosystems N. A. J. Graham and K. L. Nash File includes: Tables S1-S4 References Table S1 Correlation coefficients of percent algal cover (turf & macroalgae) against structural complexity for individual source studies. Significant correlations are displayed in bold. Study n* Location Dulvy et al. 2002 Garpe & Ohman 2003 Howard et al. 2009 Lawson et al. 1999 McClanahan & Shafir 1990 McClanahan 1999 5 5 3 3 6 3 Fiji Tanzania Hawaii Barbados Kenya Belize Spearman Rank Correlation (rs) 0.60 -0.10 n/a n/a -0.60 n/a Footnote: *Number of sites used to calculate correlation coefficient. P NS NS n/a n/a NS n/a Table S2 Correlation coefficients of percent live coral cover and branching coral cover against structural complexity for individual source studies. Significant correlations are displayed in bold. Study Coral Cover Bergman et al. 2000 Dulvy et al. 2002 Friedlander et al. 2003 Garpe & Ohman 2003 Grigg 1994 Idjadi & Edmunds 2006 Kamukuru et al. 2004 Mangi & Roberts 2007 McClanahan & Shafir 1990 McClanahan 1999 Miller & Gerstner 2002 Mumby & Wabnitz 2002 Wolff et al. 1999 Branching Cover Bergman et al. 2000 Friedlander et al. 2003 Garpe & Ohman 2003 n* Location Spearman Rank Correlation (rs) P 11 5 4 11 8 14 3 10 5 3 1 3 2 Zanzibar Fiji Hawaii Tanzania Hawaii US Virgin Islands Tanzania Kenya Kenya Belize Navassa (USA) Belize US Virgin Islands 0.75 -0.20 n/a 0.28 0.32 0.39 n/a 0.79 0.90¥ n/a n/a n/a n/a 0.008 NS n/a NS NS NS n/a 0.007 0.037 n/a n/a n/a n/a 11 4 11 Zanzibar Hawaii Tanzania 0.69 0.40 0.16 0.019 NS NS Footnote: *Number of sites used to calculate correlation coefficient. ¥ Relationship between structural complexity and fish variables calculated using data incorporated in our analysis. Relationship between variables also presented in source publication. Correlation in McClanahan & Shafir (1990) was slightly weaker than the relationship calculated in our study and presented here. Our analysis is based on fewer sites to prevent overlap with data from Mangi & Roberts (2007), and untransformed coral cover data were used. Table S3 Correlation coefficients of urchin density (10m-2) against structural complexity for individual source studies. Significant correlations are displayed in bold. Study n* Location Dulvy et al. 2002 Mangi & Roberts 2007 McClanahan & Shafir 1990 5 10 5 Fiji Kenya Kenya Spearman Rank Correlation (rs) 0.15 0.00 -0.70¥ P NS NS NS Footnote: *Number of sites used to calculate correlation coefficient. ¥ Relationship between structural complexity and fish variables calculated using data incorporated in our analysis. Relationship between variables also presented in source publication. Correlation in McClanahan & Shafir (1990) was significant; the relationship calculated in our study and presented here, is based on fewer sites to prevent overlap with data from Mangi & Roberts (2007). Table S4 Correlation coefficients of fish density (no. m-2) and fish biomass (kg/ha) against structural complexity within individual studies. Significant correlations are displayed in bold. Study Fish Density Friedlander et al. 2003† Garpe & Ohman 2003‡ Grigg 1994†? Luckhurst & Luckhurst 1978• Mangi & Roberts 2007†? McClanahan & Shafir 1990†? Miller & Gerstner 2002†? Risk 1972• Fish Biomass Cinner et al. 2009†# Dulvy et al. 2002†§ Freidlander et al. 2007†? Grigg 1994†? Miller & Gerstner 2002†? n* Location Spearman Rank Correlation (rs) P 4 11 12 8 10 5 1 1 Hawaii Tanzania Hawaii Bonaire & Curacao Kenya Kenya Navassa (USA) US Virgin Islands n/a 0.25 0.89 0.90¥ -0.02 1 n/a n/a n/a NS <0.001 0.002 NS <0.001 n/a n/a 16 5 22 12 1 Indian Ocean Fiji Hawaii Hawaii Navassa (USA) 0.59¥ 0.3 0.71¥ 0.81¥ n/a 0.016 NS <0.001 0.001 n/a Footnote: *Number of sites used to calculate correlation coefficient. †Diurnally active, non-cryptic species. ‡Including some cryptic species. •Cryptic and non-cryptic site attached species. #Fish greater than 10cm in length. §Fish greater than 8cm in length. ¥Relationship between structural complexity and fish variables calculated using data incorporated in our analysis. Relationship between variables also presented in source publication. Data sourced from Luckhurst & Luckhurst (1978) was analysed in a different manner to our study where we averaged within depths, therefore the magnitude of the significant positive correlation between structural complexity and fish density is greater to that presented in source publication. Significant positive correlation between fish biomass and structural complexity presented in Grigg (1994) is slightly weaker than the relationship calculated in our study and presented here. Our analysis was based on fewer sites to prevent overlap with data from Friedlander et al. (2007). References Literature examining the role of structural complexity in coral reef ecosystems, categorised into the classifications used in the qualitative analysis according to the focus of the original paper. Note that the number of papers in the categories below may vary compared to the number reported in the qualitative and quantitative analyses in the main paper for two reasons: 1) Some papers assessed multiple aspects of the reef community or multiple ecosystem services, and are thus in the ‘other’ category below and 2) In some of the papers the relationship we extracted (e.g., structural complexity against algal cover) was not the focus of the original paper, however we were able to extract the data to analyse the data for this purpose. Articles in bold were used in the quantitative analyses. Algae Adey WH, Steneck RS (1985) Highly productive eastern caribbean reefs: synergystic effects of biological, chemical, physical, and geological factors. NOAA Undersea Research Program Symposium Series 3 Coral Aronson RB, Precht WF (1995) Landscape patterns of reef coral diversity: A test of the intermediate disturbance hypothesis. 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