1 Appendix 1. A list of studies used in the current meta-analysis to examine the importance of 2 altitudinal gradients on plant-plant interactions including both nurse-plant and neighbourhood level 3 effects. The numbers of effect size estimate calculated per study are listed (n). ID Study n 505 Badano, E.I., Villarroel, E., Bustamante, R.O., Marquet, P.A. & Cavieres, L.A. 16 (2007) Ecosystem engineering facilitates invasions by exotic plants in highAndean ecosystems. Journal of Ecology 95, 682–688. 510 Quiroz, C.L., Badano, E.I. & Cavieres, L.A. (2009) Floristic changes in alpine 122 plant communities induced by the cushion plant Azorella madreporica (Apiaceae) in the Andes of central Chile. Revista Chilena de Historia Natural 82, 171–184. 511 Cranston, B.H., Callaway, R.M., Monks, A. & Dickinson, K.J.M. (2012) Gender 8 and abiotic stress affect community-scale intensity of facilitation and its costs Journal of Ecology 100, 915–922. 512 Eranen, J.K. and Kozlov, M.V. (2008) Increasing intraspecific facilitation in 4 exposed environments: consistent results from mountain birch populations in two subarctic stress gradients. Oikos 117,1569–1577. 513 Cavieres, L., Arroyo, M.T.K., Penaloza, A., Molina-Montenegro, M.A. & Torres, 4 C. (2002) Nurse effect of Bolax gummifera cushion plants in the alpine vegetation of the Chilean Patagonian Andes. Journal of Vegetation Science 13, 547–554. 514 Yang, Y., Niu, Y., Cavieres, L.A. & Sun, H. (2010) Positive associations between 152 the cushion plant Arenaria polytrichoides (Caryophyllaceae) and other alpine plant species increase with altitude in the Sino-Himalayas. Journal of Vegetation Science 21, 1048–1057. 515 Arroyo, M.T.K., Cavieres, L.A., Penaloza, A. & Arroyo-Kalin, M.A. (2003) 4 Positive associations between the cushion plant Azorella monantha (Apiaceae) 1 and alpine plant species in the Chilean Patagonian Andes. Plant Ecology 169, 121–129. 517 Anthelme, F., Buendia, B., Mazoyer, C. & Dangles, O. (2012) Unexpected 8 mechanisms sustain the stress gradient hypothesis in a tropical alpine environment. Journal of Vegetation Science 23, 62–72. 518 Cavieres, L.A., Badano, E.I., Sierra-Almeida, A., Gomez-Gonzalez, S. & Molina- 14 Montenegro, M. (2006) Positive interactions between alpine plant species and the nurse cushion plant Laretia acaulis do not increase with elevation in the Andes of central Chile. New Phytologist 169, 59–69. 520 Schöb, C., Butterfield, B.J. & Pugnaire, F.I. (2012) Foundation species influence 16 trait-based community assembly. New Phytologist 196, 824–834. 521 Schöb, C., Armas, C., Guler, M., Prieto, I. & Pugnaire, F.I. (2013) Variability in 8 functional traits mediates plant interactions along stress gradients. Journal of Ecology: in press. 522 Michalet, R., Xiao, S., Touzard, B., Smith, D.S., Cavieres, L.A., Callaway, R.M. 8 & Whitham, T.G. (2011) Phenotypic variation in nurse traits and community feedbacks define an alpine community. Ecology Letters 14, 433–443. 523 Le Roux, P.C. & McGeoch, M.A. (2010) Interaction intensity and importance 16 along two stress gradients: adding shape to the stress-gradient hypothesis. Oecologia 162, 733–745. 525 Callaway, R.M., Brooker, R.W., Choler, P., Kikvidze, Z., Lortie, C.J. , Michalet, 518 R., Paolini, L., Pugnaire, F.I., Cook B.J., Aschehoug, E.T., Armas, C. & Newingham, B. (2002) Interdependence among alpine plants increases with stress: a global experiment. Nature (London) 417, 844–848. 526 Badano, E.I. & Cavieres, L.A. (2006) Impacts of ecosystem engineers on 24 2 community attributes: effects of cushion plants at different elevations of the Chilean Andes. Diversity and Distributions 12, 388–396. 527 Liancourt, P., Spence, L.A., Song, D.S., Lkhagva, A., Sharkhuu, A., Boldgiv, B., 8 Helliker, B.R., Petraitis, P.S. & Casper, B.B. (2013) Plant response to climate change varies with topography, interactions with neighbors and ecotype. Ecology (in press). 4 5 6 Appendix 2. A summary of the relative frequency of effect sizes estimates calculated from the 7 available literature on plant-plant interactions on altitudinal gradients. 8 Measure biomass count richness survival Total n 289 328 48 265 930 9 10 Appendix 3. A summary of the relative frequency of effect size estimates calculated from the 11 literature on plant-plant interactions on altitudinal gradients summarized by climatic region and by 12 nurse-plant effects studied or by neighbourhood-level effects. 13 Climatic region Arctic Mediterranean Temperate Tropical Type of plant effect neighbourhood nurse neighbourhood nurse Neighbourhood Nurse Neighbourhood Nurse Total 146 28 32 208 308 8 40 160 14 15 3