Supporting Material for “Assessing coral fish diversity: the need for a change in methods” Loiseau N., Gaertner J-C. Appendix 1 List of reviewed papers Ackerman, J. L., & Bellwood, D. R. (2000). Reef fish assemblages: a re-evaluation using enclosed rotenone stations. Marine ecology Progress Series, 206, 227-237. Acosta, C. A., & Robertson, D. N. (2002). Diversity in coral reef fish communities: the effects of habitat patchiness revisited. Marine ecology Progress Series, 227, 87-96. Albins, M. A. (2013). Effects of invasive Pacific red lionfish Pterois volitans versus a native predator on Bahamian coral-reef fish communities. Biological Invasions, 15(1), 29-43. Almany, G. R. (2004). Does increased habitat complexity reduce predation and competition in coral reef fish assemblages? Oikos, 106(2), 275-284. Almany, G. R., Peacock, L. F., Syms, C., McCormick, M. I., & Jones, G. P. (2007). Predators target rare prey in coral reef fish assemblages. Oecologia,152(4), 751-761. Alvarez‐Filip, L., Reyes‐Bonilla, H., & Calderon‐Aguilera, L. E. (2006). Community structure of fishes in Cabo Pulmo reef, Gulf of California. Marine ecology, 27(3), 253262. Alvarez‐Filip, L., Reyes‐Bonilla, H., & Calderon‐Aguilera, L. E. (2006). Community structure of fishes in Cabo Pulmo reef, Gulf of California. Marine ecology, 27(3), 253262. Andréfouët, S., & Wantiez, L. (2010). Characterizing the diversity of coral reef habitats and fish communities found in a UNESCO World Heritage Site: The strategy developed for Lagoons of New Caledonia. Marine Pollution Bulletin,61(7), 612-620. Araújo, F. G., & De Azevedo, M. C. (2001). Assemblages of Southeast-South Brazilian Coastal Systems based on the distribution of fishes. Estuarine, Coastal and Shelf Science, 52(6), 729-738. Arias‐González, J. E. (1998). Trophic models of protected and unprotected coral reef ecosystems in the South of the Mexican Caribbean. Journal of fish Biology, 53(sA), 236-255. Arias-González, J. E., Done, T. J., Page, C. A., Cheal, A. J., Kininmonth, S., & Garza-Pérez, J. R. (2006). Towards a reefscape ecology: relating biomass and trophic structure of fish assemblages to habitat at Davies Reef, Australia. Marine ecology Progress Series, 320, 29-41. Arias-González, J. E., Legendre, P., & Rodríguez-Zaragoza, F. A. (2008). Scaling up beta diversity on Caribbean coral reefs. Journal of Experimental Marine Biology and Ecology, 366(1), 28-36. Ashworth, J. S., Bruce, O. E., & Hellw, M. E. (2006). Fish assemblages of Red Sea backreef biotopes. Aquatic Conservation: Marine and Freshwater Ecosystems, 16(6), 593-609. Ault, T. R., & Johnson, C. R. (1998). Spatial variation in fish species richness on coral reefs: habitat fragmentation and stochastic structuring processes.Oikos, 354-364. Balasubramanian, H., Foster, R.S. (2007) Species and space: role of volume in organizing coral reef fish assemblages in SE Cuba. Marine ecology Progress Series, 345, 229-236 Barjau-González, E., Rodríguez-Romero, J., Galván-Magaña, F., & López-Martínez, J. (2012). Changes in the taxonomic diversity of the reef fish community of San José Island, Gulf of California, Mexico. Biodiversity and Conservation, 21(14), 3543-3554. Baron, R. M., Jordan, L. K., & Spieler, R. E. (2004). Characterization of the marine fish assemblage associated with the nearshore hardbottom of Broward County, Florida, USA. Estuarine, Coastal and Shelf Science, 60(3), 431-443. Bauman, A. G., Burt, J. A., Feary, D. A., Marquis, E., & Usseglio, P. (2010). Tropical harmful algal blooms: An emerging threat to coral reef communities? Marine Pollution Bulletin, 60(11), 2117-2122. Bejarano, S., Golbuu, Y., Sapolu, T., & Mumby, P. J. (2013). Ecological risk and the exploitation of herbivorous reef fish across Micronesia. Marine ecology Progress Series, 482, 197-215. Bellwood, D. R., Baird, A. H., Depczynski, M., González-Cabello, A., Hoey, A. S., Lefèvre, C. D., & Tanner, J. K. (2012). Coral recovery may not herald the return of fishes on damaged coral reefs. Oecologia, 170(2), 567-573. Bellwood, D. R., Hoey, A. S., Ackerman, J. L., & Depczynski, M. (2006). Coral bleaching, reef fish community phase shifts and the resilience of coral reefs. Global Change Biology, 12(9), 1587-1594. Bellwood, D. R., Wainwright, P. C., Fulton, C. J., & Hoey, A. (2002). Assembly rules and functional groups at global biogeographical scales. Functional Ecology, 16(5), 557-562. Belmaker, J., Shashar, N., & Ziv, Y. (2005). Effects of small-scale isolation and predation on fish diversity on experimental reefs. Marine ecology Progress Series, 289, 273-283. Belmaker, J., Ziv, Y., & Shashar, N. (2011). The influence of connectivity on richness and temporal variation of reef fishes. Landscape ecology, 26(4), 587-597. Bergman, K. C., Svensson, S., & Öhman, M. C. (2001). Influence of algal farming on fish assemblages. Marine Pollution Bulletin, 42(12), 1379-1389. Beukers-Stewart, B. D., Beukers-Stewart, J. S., & Jones, G. P. (2011). Behavioural and developmental responses of predatory coral reef fish to variation in the abundance of prey. Coral reefs, 30(3), 855-864. Booth, D. J., & Beretta, G. A. (2002). Changes in a fish assemblage after a coral bleaching event. Marine ecology Progress Series, 245, 205-212. Bouchon-Navaro, Y., Bouchon, C., Louis, M., & Legendre, P. (2005). Biogeographic patterns of coastal fish assemblages in the West Indies. Journal of Experimental Marine Biology and Ecology, 315(1), 31-47. Brewer, T. D., Cinner, J. E., Fisher, R., Green, A., & Wilson, S. K. (2012). Market access, population density, and socioeconomic development explain diversity and functional group biomass of coral reef fish assemblages. Global Environmental Change, 22(2), 399-406. Bridge, T., Scott, A., & Steinberg, D. (2012). Abundance and diversity of anemonefishes and their host sea anemones at two mesophotic sites on the Great Barrier Reef, Australia. Coral reefs, 31(4), 1057-1062. Brokovich, E., Ayalon, I., Einbinder, S., Segev, N., Shaked, Y., Genin, A., ... & Kiflawi, M. (2009). Grazing pressure on coral reefs decreases across a wide depth gradient in the Gulf of Aqaba, Red Sea. Marine ecology Progress Series,399, 69. Burgess, S. C., Osborne, K., & Caley, M. J. (2010). Similar regional effects among local habitats on the structure of tropical reef fish and coral communities. Global Ecology and Biogeography, 19(3), 363-375. Burt, J., Bartholomew, A., Usseglio, P., Bauman, A., & Sale, P. F. (2009). Are artificial reefs surrogates of natural habitats for corals and fish in Dubai, United Arab Emirates? Coral reefs, 28(3), 663-675. Caley, M. J. (1995). Reef-fish community structure and dynamics: an interaction between local and larger-scale processes? Marine ecology Progress Series, 129(1), 19-29. Cappo, M., De'ath, G., & Speare, P. (2007). Inter-reef vertebrate communities of the Great Barrier Reef Marine Park determined by baited remote underwater video stations. Marine ecology Progress Series, 350, 209-221. Cappo, M., Speare, P., & De'ath, G. (2004). Comparison of baited remote underwater video stations (BRUVS) and prawn (shrimp) trawls for assessments of fish biodiversity in inter-reefal areas of the Great Barrier Reef Marine Park. Journal of Experimental Marine Biology and Ecology, 302(2), 123-152. Carassou, L., & Ponton, D. (2007). Spatio-temporal structure of pelagic larval and juvenile fish assemblages in coastal areas of New Caledonia, southwest Pacific. Marine Biology, 150(4), 697-711. Carassou, L., Léopold, M., Guillemot, N., Wantiez, L., & Kulbicki, M. (2013). Does herbivorous fish protection really improve coral reef resilience? A case study from New Caledonia (South Pacific). PloS one, 8(4), e60564. Chabanet, P., Ralambondrainy, H., Amanieu, M., Faure, G., & Galzin, R. (1997). Relationships between coral reef substrata and fish. Coral reefs, 16(2), 93-102. Chaves, L. D. C. T., Ormond, C. G. A., McGinty, E. S., & Ferreira, B. P. (2012). Space partitioning among damselfishes in the Caribbean coast of Panama: the role of habitat preferences. Neotropical Ichthyology, 10(3), 633-642. Cheal, A. J., Emslie, M., MacNeil, M. A., Miller, I., & Sweatman, H. (2013). Spatial variation in the functional characteristics of herbivorous fish communities and the resilience of coral reefs. Ecological Applications, 23(1), 174-188. Cheal, A. J., MacNeil, M. A., Cripps, E., Emslie, M. J., Jonker, M., Schaffelke, B., & Sweatman, H. (2010). Coral–macroalgal phase shifts or reef resilience: links with diversity and functional roles of herbivorous fishes on the Great Barrier Reef. Coral reefs, 29(4), 1005-1015. Cheal, A. J., Wilson, S. K., Emslie, M. J., Dolman, A. M., & Sweatman, H. (2008). Responses of reef fish communities to coral declines on the Great Barrier Reef. Marine ecology Progress Series, 372, 211-223. Cheal, A., Emslie, M., Miller, I., & Sweatman, H. (2012). The distribution of herbivorous fishes on the Great Barrier Reef. Marine Biology, 159(5), 1143-1154. Chittaro, P. M. (2002). Species-area relationships for coral reef fish assemblages of St. Croix, US Virgin Islands. Marine ecology Progress series,233, 253-261. Chittaro, P. M., & Sale, P. F. (2003). Structure of patch-reef fish assemblages at St. Croix, US Virgin Islands, and One Tree Reef, Australia. Marine ecology Progress series, 249, 277-287. Chong-Seng, K. M., Mannering, T. D., Pratchett, M. S., Bellwood, D. R., & Graham, N. A. (2012). The influence of coral reef benthic condition on associated fish assemblages. PloS one, 7(8), e42167. Cinner, J. E., McClanahan, T. R., Graham, N. A., Pratchett, M. S., Wilson, S. K., & Raina, J. B. (2009). Gear‐based fisheries management as a potential adaptive response to climate change and coral mortality. Journal of Applied Ecology, 46(3), 724-732. Clark, S., & Edwards, A. J. (1994). Use of artificial reef structures to rehabilitate reef flats degraded by coral mining in the Maldives. Bulletin of Marine Science, 55(2-3), 724744. Coker, D. J., Graham, N. A. J., & Pratchett, M. S. (2012). Interactive effects of live coral and structural complexity on the recruitment of reef fishes. Coral reefs, 31(4), 919-927. Côté, I. M., Mosqueira, I., & Reynolds, J. D. (2001). Effects of marine reserve characteristics on the protection of fish populations: a meta‐analysis. Journal of fish Biology, 59(sA), 178-189. Depczynski, M., & Bellwood, D. R. (2005). Wave energy and spatial variability in community structure of small cryptic coral reef fishes. Marine ecology Progress Series, 303, 283-293. Dickens, L. C., Goatley, C. H., Tanner, J. K., & Bellwood, D. R. (2011). Quantifying relative diver effects in underwater visual censuses. PloS one,6(4), e18965. Dominici-Arosemena, A., & Wolff, M. (2006). Reef fish community structure in the Tropical Eastern Pacific (Panamá): living on a relatively stable rocky reef environment. Helgoland Marine Research, 60(4), 287-305. Dorenbosch, M., Grol, M. G. G., Christianen, M. J. A., Nagelkerken, I., & Van Der Velde, G. (2005). Indo-Pacific seagrass beds and mangroves contribute to fish density and diversity on adjacent coral reefs. Marine ecology Progress Series, 302, 63-76. Dorenbosch, M., Grol, M. G. G., Nagelkerken, I., & Van der Velde, G. (2006). Different surrounding landscapes may result in different fish assemblages in East African seagrass beds. Hydrobiologia, 563(1), 45-60. Dorenbosch, M., Verberk, W. C. E. P., Nagelkerken, I., & Van der Velde, G. (2007). Influence of habitat configuration on connectivity between fish assemblages of Caribbean seagrass beds, mangroves and coral reefs. 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Recovery of fish assemblages from ship groundings on coral reefs in the Florida Keys National Marine Sanctuary. Bulletin of Marine Science, 69(2), 655671. Edwards, H. J., Elliott, I. A., Pressey, R. L., & Mumby, P. J. (2010). Incorporating ontogenetic dispersal, ecological processes and conservation zoning into reserve design. Biological Conservation, 143(2), 457-470. Emslie, M., Cheal, A., Sweatman, H., & Delean, J. (2008). Recovery from disturbance of coral and reef fish communities on the Great Barrier Reef, Australia. Marine ecology Progress Series, 371, 177-190. Fabricius, K., De’ath, G., McCook, L., Turak, E., & Williams, D. M. (2005). Changes in algal, coral and fish assemblages along water quality gradients on the inshore Great Barrier Reef. Marine Pollution Bulletin, 51(1), 384-398. Ferreira, C. E. L., & Gonçalves, J. E. A. (2006). Community structure and diet of roving herbivorous reef fishes in the Abrolhos Archipelago, south‐western Atlantic. Journal of fish Biology, 69(5), 1533-1551. Fitzpatrick, B. M., Harvey, E. S., Heyward, A. J., Twiggs, E. J., & Colquhoun, J. (2012). Habitat specialization in tropical continental shelf demersal fish assemblages. PloS one, 7(6), e39634. Floeter, S. R., Behrens, M. D., Ferreira, C. E. L., Paddack, M. J., & Horn, M. H. (2005). Geographical gradients of marine herbivorous fishes: patterns and processes. Marine Biology, 147(6), 1435-1447. Floeter, S. R., Guimaraes, R. Z., Rocha, L. A., Ferreira, C. E. L., Rangel, C. A., & Gasparini, J. L. (2001). Geographic variation in reef‐fish assemblages along the Brazilian coast. Global Ecology and Biogeography, 10(4), 423-431. Fowler, A. M., & Booth, D. J. (2012). How well do sunken vessels approximate fish assemblages on coral reefs? Conservation implications of vessel-reef deployments. Marine Biology, 159(12), 2787-2796. Francisco-Ramos, V., & Arias-González, J. E. (2013). 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Oksanen et al. 2013 𝑓1 (𝑓1 −1) 2(𝑓2 +1) 𝑚−1 𝑞1 (𝑞1 −1) 𝑆𝐶ℎ𝑎𝑜2 = 𝑆 + ( 𝑚 ) 2(𝑞2 +1) Number of rare species Evenness Ehulbert = 𝐻 ′ 𝑚𝑎𝑥−𝐻′𝑚𝑖𝑛 Eheip: Heip 1974 Eheip = E1/D: Smith and Wilson 1996 EBG: Berger and Parker 1970 Vegan for H’. Oksanen et al. 2013 𝐻 ′ −𝐻′𝑚𝑖𝑛 Ehulbert: Hulbert 1971 E1/D = EBG= Vegan for H’. Oksanen et al. 2013 𝑒 𝐻′ −1 𝑆−1 1/𝐷 Vegan for D. Oksanen et al. 2013 𝑆 𝑁𝑚𝑎𝑥 𝑁 Functional diversity Functional richness FRic: Villéger et al. 2008 FD. Laliberté et al. 2014 Convex hull algorithm Functional evenness 𝑑𝑖𝑗 ⁄𝑝𝑖 +𝑝𝑗 1 FD. Laliberté et al. 2014 𝑝𝑗 ∑𝑁 𝑗≠𝑖1−𝑝𝑖 𝑑𝑖𝑗 1 𝑁 ∑𝑖 𝑚𝑖𝑛{𝑝𝑖 ∗ , }−1/𝑁 𝑝𝑗 𝑁 𝑁 ∑𝑁 ∑ 𝑖 𝑝𝑖 𝑗≠𝑖1−𝑝𝑖 𝑑𝑖𝑗 Ricotta et al. 2014 provided the script FEve: Villéger et al. 2008 𝐹𝐸𝑣𝑒 = Ru: Ricotta et al. 2014 𝑅𝑢 = Functional divergence 1 ∑𝑆−1 𝑖=1 min(∑𝑠−1𝑑 ⁄𝑝 +𝑝 ,𝑆−1)−𝑆−1 𝑖=1 𝑖𝑗 𝑖 𝑗 1− 1 𝑆−1 1−1/𝑁 Q: Rao 1982 𝑄 = ∑𝑆𝑖=1 ∑𝑆𝑗=1 𝑝𝑖 𝑝𝑗 𝑑𝑖,𝑗 FD. Laliberté et al. 2014 FDiv: Villéger et al. 2008 FDiv = Δ|d|+dG ̅̅̅̅ Δd+dG FD. Laliberté et al. 2014 FDis: Laliberté and Legendre. 2010 FDis = ∑ pi zi ∑ pi FD. Laliberté et al. 2014 S : number of species in the community, N : total abundance, 𝐻′ = − ∑𝑆𝑖 𝑝𝑖 𝑙𝑛𝑝𝑖 , D= Simpson index with 1 − 𝐷 = 1 − ∑𝑆𝑖 𝑝𝑖 ², f1 is the number of singleton species, f2 is the number of doubleton species, , q1 is the number of unique species, q2 is the number of duplicate species, z : barycenter of the community, dij : distance between species i and j, pi et pj : abundance between species i and j, dG: distance to gravity center. Δd: sum of abundance-weighted deviances, Δ|d|: absolute abundance-weighted deviances. Reference Berger, W. H. and Parker, F. L (1970) Diversity of planctonic Foraminifera in deep sea sediments. Science. 168 (1970), pp. 1345–1347 Chao, A. (1984). Nonparametric estimation of the number of classes in a population. Scan. J. Stat. 265-270. Heip, C. (1974). A new index measuring evenness. J. Mar. Biol. Assoc. 54, 555-557. Hulbert, S. H. (1971) The nonconcept of species diversity: a critique and alternative parameters. Ecology. 52: 577-585. Laliberté, E., Legendre, P., Shipley, B., & Laliberté, M. E. (2014). Package ‘FD’. Version, 1, 12. Laliberté, E., and Legendre, P. (2010). A distance-based framework for measuring functional diversity from multiple traits. Ecology. 91(1), 299-305. Margalef, D. R. (1958). Information theory in ecology. Society for General Systems Research. Oksanen, J., Blanchet, F. G., Kindt, R., Legendre, P., Minchin, P. R., O’Hara, R. B., ... & Wagner, H. (2013). Package ‘vegan’. R Packag ver, 254, 20-8. Rao, C. R. (1982). Diversity and dissimilarity coefficients: a unified approach. Theor. Popul. Biol. 21(1), 24-43. Ricotta, C., Bacaro, G., and Moretti, M. (2014). A New Measure of Functional Evenness and Some of Its Properties. PLoS. One. e104060. Smith, B., and Wilson, J. B. (1996). A consumer's guide to evenness indices. Oikos. 70-82. Villéger, S., Mason, N. W., and Mouillot, D. (2008). 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