Table S1. List of papers excluded after reading of the full text and reasons for exclusion Reference Reason for exclusion Antolic et al. 2008 - Nova Hedwigia 86: 155167 Antoniadou & Chiniroglou 2007 - Journal of the Marine Biological Association of the United Kingdom 87: 629-641 Argyrou et al. 1999 - Oceanologica Acta 22: 517-528 no replication it not possible to assess whether a site was invaded or not: this is done a posteriori sampling has been done only 1 time before and 1 time after; in addition, the 10 grab samples have been pooled (not averaged) so that there is no mean Arigoni et al. 2002 - Journal of Fish Biology 60: variations in number of green or brown 1486-1497 individuals cannot be interpreted as positive or negative effects by the non-native species Bartoli & Boudouresque 1997 - Marine data on parasite species; data on fitness variable Ecology-Progress Series 154: 253-260 different from growth or survival and without measures of variability Bellan-Santini et al. 1996 - Journal of the no replication Marine Biological Association of the United Kingdom 76: 235-237 Box et al. 2009 - Journal of Experimental fitness variables different from growth or Marine Biology and Ecology 380: 11–23 survival Box et al. 2010 - Botanica Marina 53: 367-375 no replication Boudoresque et al. 1996 - Aquatic Botany 53: Fitness variables different from growth or 245-250 survival Burfeind et al. 2009 - Environmental Biology of preferences for different habitats cannot be Fishes 84: 317-322 interpreted as positive or negative effects by the non-native species Cabanellas-Reboredo et al. 2010 - Scientia the invaded and reference sites are on different Marina 74: 101-110 islands (Mallorca vs Ibiza). The design is totally confounded Casu et al. 2009 - Aquatic Ecology 43 : 1023- variations in isotopes cannot be interpreted as 1029 positive or negative effects by the non-native species Curiel et al. 2002 - Hydrobiologia 477: 209-219 no measures of variability DeVillele & Verlaque 1995 - Botanica Marina no data on number of replicates; fitness variables 38: 79-87 different from growth or survival Dumay et al. 2004 - Phytochemistry 65: 3211- fitness variables different from growth or 3220 survival Ceccherelli & Cinelli 1997 - Journal of data were not used as they are the same reported Experimental Biology and Ecology 217: 165- in the (included) study by Ceccherelli and Sechi 177 2002 Deudero et al. 2011 - Estuarine Coastal and no measures of variability Shelf Science 93: 106-116 Engelen 2011 - Hydrobiologia 669: 157-165 response variables cannot be interpreted as positive or negative effects of non-native species on grazers Farrel & Fletcher 2004 - Journal of the effects of removing Undaria or the resident Experimental Marine Biology and Ecology 334: kelp species could not be disentangled 236-243 Gribben & Wright 2006 - Oecologia 149: 352fitness variables different from growth or 361 Gribben et al. 2009 - Aquatic biology 7: 217227 Husa et al. 2008 - Marine Biology Research 4: 414-428 Irigoyen et al. 2011 - Biological Invasions 13: 17-24 Katsanevakis and Thessalou-Legaki 2009 Aquatic Biology 8: 45-54 survival fitness variables different from growth or survival no measures of variability fitness variables different from growth or survival at some sites, only 1 transect was sampled, while at others (where P. nobilis was more abundant) more than 1 transect was sampled; depth differed among transects; length of the transects differ Klein & Verlaque 2009 - Hydrobiologia 636: the non-invaded sites is heavily colonized by 369-378 Womersleyella: basically this is a comparison between C. racemosa invaded and Womerslyella invaded sites Levi & Francour 2004 - Journal of Fish Biology no measures of variability 64: 55-64 Longepierre et al. 2005 - Biodiversity and unknown number of temporal samplings and Conservation 14: 365-376 number of replicates for sites with or without the non-native species Lorenti et al. 2011 Marine Ecology-an only one sampling time before and 2 times (very Evolutionary Perspective 32: 320-334 close) after 24 years Lyons & Schliebling 2007 - Journal of fitness variables different from growth or Experimental Marine Biology and Ecology 349: survival 194-204 Montefalcone et al. 2007 Estuarine Coastal and at each meadow (distant 10s of Km) there was Shelf Science 75: 63-71 only 1 transect at each of 3 depths; values of CI and SI are averages over the three depths for each meadow Nohrén & Odelgard 2010 - Aquatic Biology 9: no measures of variability 139-148 Oakes et al. 2011 - Limnology and variations in isotopes cannot be interpreted as Oceanography 56: 1824-1831 positive or negative effects by the non-native species Pedersen et al. 2005 Aquatic Botany 83: 31-47 no useful data (biomass/cover/growth of the non-native vs those of another alga) Pederson & Johnson 2008 - Ices Journal of no measures of variability Marine Science 65: 1-11 Peirano et al. 2005 Marine Pollution Bulletin 50: at each meadow (distant 10s of Km) there was 817-822 only 1 transect at each of 3 depths; values of CI and SI are averages over the three depths for each meadow Piazzi & Cinelli 2001 Botanica Marina 44: 509- no reference site 520 Relini et al. 1998 - Biologia Marina no replication; no measures of variability Mediterranea 5: 185-195 Relini et al. 1998 - Italian Journal of Zoology no measures of variability 65: 465-470 Sanchez & Fernandez 2006 - Marine Ecology no data on the effects of Sargassum on other Progress Series 313: 85-94 species Vazquez-Luis et al. 2010 - Hydrobiologia fitness variables different from growth or 654:147–154 survival; no measures of variability Verlaque & Fritayre 1994 - Oceanologica Acta unknown number of replicates 17: 659-672 Viejo 1999 - Aquatic Botany 64: 131-149 Sargassum is in pools, while Fucus is not. The comparison between Sargassum and Cystoseira (1 invader versus 1 native) is not useful Ulas et al. 2011 - Turkish Journal of Fisheries no measures of variability and Aquatic Sciences 11: 385-391 Zuljevic 2011 - Biological Invasions 13: 2303- no controls and no replicated sites 2308