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Electronic Supplementary Material (ESM) Table S1 Results of a literature survey conducted on all peer-reviewed papers containing the terms ‘resource’ and ‘competition’ for terrestrial vegetation from 1990 to 2008 (Source: Web of Science). Only 109 relevant papers* were selected on the bases of: (i) at least one resource (nutrients, water, light) was quantified and (ii) resource depletion was characterized - at least qualitatively - by one or more species traits. The percentage of papers satisfying these conditions is given for each resource. They were empirical studies with field observation or vegetation manipulation, or modelling studies (e.g. evolutionary games, physiology-based modelling, agronomical modelling). The percentages of empirical papers in which a quantitative relationship between traits and resource depletion was proposed and in which experimental studies (vegetation manipulation: e.g. common-garden experiment, neighbour removal, manipulation of plant biomass or density) were performed, are given. Examples of traits used are given for each type of resource. 1 Table S1 Percentage of surveyed papers Percentage of empirical studies - Percentage of studies proposing Nutrients Light Water 68% 34% 27% 49% 35% 55% 33% 11% 10% 80% 46% 7% quantified relationships - Percentage of experimental studies - Examples of traits used Allocation to fine roots; biomass : Plant size; aboveground Root architectural traits; rooting N ratio; root length; rooting depth; biomass; shoot biomass; leaf depth; root growth rate; root length; root distribution; root growth rate; angle; leaf distribution; leaf root density; root biomass root density area; foliar architecture 2 *List of supplementary references used in the literature survey: Aerts R (1999) Journal of Experimental Botany 50:29-37 Arii K, Turkington R (2001) Canadian Journal of Botany 79:1486-1491 Ball DA, Shaffer MJ (1993) Weed Research 33:299-310 Bauer S et al. (2004) Plant Ecology 170:135-145 Belcher JW, Keddy PA, Twolanstrutt L (1995) Journal of Ecology 83:673-682 Berendse F (1994) Oikos 71:253-260 Berntson GM, Wayne PM (2000) Ecology 81:1072-1085 Blair B (2001) Plant Ecology 156:199-203 Cahill JF (1999) Ecology 80:466-480 Cahill JF, Casper BB (1999) Annals of Botany 83:471-478 Caldwell MM, Manwaring JH, Durham SL (1996) Oecologia 106:440-447 Campbell BD, Grime JP, Mackey JML (1991) Oecologia 87:532-538 Casper BB, Jackson RB (1997) Annual Review of Ecology and Systematics 28:545-570 Casper BB, Schenk HJ, Jackson RB (2003) Ecology 84:2313-2321 Clark B, Bullock S (2007) Journal of Theoretical Biology 244:208-217 Colasanti RL, Hunt R (1997) Functional Ecology 11:133-145 Colasanti RL, Hunt R, Askew AP (2001) Functional Ecology 15:676-687 Comeau P, Heineman J, Newsome T (2006) Forest Ecology and Management 226:80-87 Coomes DA, Grubb PJ (2000) Ecological Monographs 70:171-207 Craine JM (2006) Plant and Soil 285:171-185 Darrah PR, Jones DL, Kirk GJD, Roose T (2006) European Journal of Soil Science 57:13-25 Davies KW et al. (2007) Rangeland Ecology and Management 60:304-310 Dybzinski R, Tilman D (2007) American Naturalist 170:305-318 Dyer AR, Rice KJ (1999) Ecology 80:2697-2710 El-Shatnawi MKJ, Makhadmeh IM (2001) Journal of Agronomy and Crop Science 187:1-9 Elmendorf SC, Moore KA (2007) Ecology 88:2640-2650 Fahey TJ, Battles JJ, Wilson GF (1998) Ecological Monographs 68:183-212 Fargione J, Tilman D (2005) Oecologia 143:598-606 Fargione J, Tilman D (2006) Functional Ecology 20:533-540 Fransen B, de Kroon H, Berendse F (2001) Ecology 82:2534-2546 Fransen B et al. (1999) Annals of Botany 84:305-311 Freckleton RP, Watkinson AR (2001) Ecology Letters 4:348-357 Gebauer RLE, Ehleringer JR (2000) Ecology 81:1415-1424 Gebauer RLE, Schwinning S, Ehleringer JR (2002) Ecology 83:2602-2616 Gersani M et al. (2001) Journal of Ecology 89:660-669 Goldberg D, Novoplansky A (1997) Journal of Ecology 85:409-418 Grist EPM (1999) Ecological Modelling 121:63-78 Haggar JP, Ewel JJ (1997) Ecology 78:1211-1221 Hamilton JG, Holzapfel C, Mahall BE (1999) Oecologia 121:518-526 Hauggaard-Nielsen H et al. (2008) Renewable Agriculture and Food Systems 23:3-12 Herron GJ, Sheley RL, Maxwell BD, Jacobsen JS (2001). Restoration Ecology 9:326-331 Hess L, De Kroon H (2007) Journal of Ecology 95:241-251 Ho MD, McCannon BC, Lynch JP (2004) Journal of Theoretical Biology 226:331-340 Ho MD, Rosas JC, Brown KM, Lynch JP (2005) Functional Plant Biology 32:737-748 Hodge A (2006) Journal of Experimental Botany 57:401-411 Huber-Sannwald E, Pyke DA, Caldwell MM, Durham S (1998) Ecology 79:2267-2280 Jackson RB, Caldwell MM (1992) Oecologia 91:457-462 Jackson RB, Caldwell MM (1996) Journal of Ecology 84:891-903 3 Jankju-Borzelabad M, Griffiths H (2006) Oecologia 148:555-563 Jumpponen A et al. (2002) Functional Ecology 16:454-461 Kizito F et al. (2006) Journal of Arid Environments 67:436-455 Kosola KR, Gross KL (1999) Oecologia 118:69-75 Kueffer C et al. (2007) Journal of Ecology 95:273-282 Lawless C, Semenov MA, Jamieson PD (2005) European Journal of Agronomy 22:19-32 Le Chevalier V et al. (2007) Journal of Computer Science and Technology 22:835-845 Le Roux X, Bariac T (1998) Oecologia 113:456-466 Leffler AJ, Caldwell MM (2005) Journal of Ecology 93:783-793 Lemaire G, Millard P (1999) Journal of Experimental Botany 50:15-28 Leroux X, Bariac T, Mariotti A (1995) Oecologia 104:147-155 Lipson D, Nasholm T (2001) Oecologia 128:305-316 Martineau Y, Saugier B (2007) Ecological Modelling 204:399-419 Matthews RB et al. (1991) Agricultural and Forest Meteorology 53:285-301 McKane RB et al. (2002) Nature 415:68-71 McLaren JR, Wilson SD, Peltzer DA (2004) Oikos 107:199-205 Michelsen A, Schmidt IK, Jonasson S, et al. (1995) Oecologia 103:407-418 Midmore DJ (1993) Field Crops Research 34:357-380 Miller AE, Bowman WD, Suding KN (2007) Ecology 88:1832-1840 Mitchell RJ, Zutter BR, Gjerstad DH, Glover GR, Wood CW (1999) Ecology 80:857-872 Morris EC, Myerscough PJ (1991) Journal of Ecology 79:903-923 Morris RA, Garrity DP (1993) Field Crops Research 34:319-334 Nippert JB, Knapp AK (2007) Oikos 116:1017-1029 Olff H (1992) Oecologia 89:412-421 Partel M, Helm A (2007) Journal of Vegetation Science 18:63-70 Peltzer DA, Kochy M (2001) Journal of Ecology 89:519-527 Perry LG, Neuhauser C, Galatowitsch SM (2003) Journal of Theoretical Biology 222:425-436 Rajaniemi TK (2007) 153:145-152 Rajaniemi TK, Reynolds HL (2004) Oecologia 141:519-525 Rastetter EB et al. (2001) Ecosystems 4:369-388 Raynaud X, Leadley PW (2004) Ecology 85:2200-2214 Raynaud X, Leadley PW (2005) Ecological Modelling 189:447-453 Rees M, Bergelson J (1997) Journal of Theoretical Biology 184:353-358 Reynolds HL, Hungate BA, Chapin FS, Dantonio CM (1997) Ecology 78:2076-2090 Reynolds HL, Pacala SW (1993) American Naturalist 141:51-70 Reynolds JF, Kemp PR, Tenhunen JD (2000) Plant Ecology 150:145-159 Robinson D et al. (1999) Proceedings of The Royal Society of London Series B 266:431-435 Rowe EC, Van Noordwijk M, Suprayogo D, Cadisch G (2005) Plant and Soil 268:61-74 Rubio G, Walk T, Ge ZY, Yan XL, Liao H, Lynch JP (2001) Annals of Botany 88:929-940 Schenk HJ (2006) Journal of Ecology 94:725-739 Sekimura T et al. (2000) Ecological Modelling 128:51-62 Semchenko M, Hutchings MJ, John EA (2007) Journal of Ecology 95:252-260 Sorrensencothern KA, Ford ED, Sprugel DG (1993) Ecological Monographs 63:277-304 Suding KN, Larson JR, Thorsos E, Steltzer H, Bowman WD (2004) Plant Ecology 175:47-58 Theodose TA, Bowman WD (1997) Oikos 79:101-114 Theodose TA, Jaeger CH, Bowman WD, Schardt JC (1996) Oikos 75:59-66 Tilman D, Wedin D (1991) Ecology 72:1038-1049 Tilman D, Wedin D (1991) Ecology 72:685-700 Tremmel DC, Bazzaz FA (1993) Ecology 74:2114-2124 Tschirhart J (2002) Ecological Modelling 148:191-212 4 van Wijk MT (2007) Ecological Modelling 203:453-463 Wardle DA, Barker GM, Bonner KI, Nicholson KS (1998) Journal of Ecology 86:405-420 Wedin D, Tilman D (1993) Ecological Monographs 63:199-229 Wilson SD, Kleb HR (1996) American Midland Naturalist 136:222-231 Wilson SD, Tilman D (1991) Ecology 72:1050-1065 Wilson SD, Tilman D (1991) Oecologia 88:61-71 Wilson SD, Tilman D (1993) Ecology 74:599-611 Xiao S, Chen SY, Wang G (2006) Bulletin of Mathematical Biology 68:957-967 Xiao S, Chen SY, Zhao LQ, Wang G (2006) Journal of Integrative Plant Biology 48:513-519 Xie YH et al. (2006) Environmental and Experimental Botany 57:195-200 Yachi S, Loreau M (2007) Ecology Letters 10:54-62 5 Supplementary Method S1: Time-dynamics of resource depletion: modelling protocols Time-dynamics of resource depletion were modelled with a daily time-step over the lifespan of phytometers, from 22nd November 2004 to 30th June 2005. Light availability. The daily fraction of transmitted light per plot was estimated by non-linear adjustments (sigmoid curves) based on eleven records (R² > 0.96). The daily amount of transmitted light was calculated using daily data of total radiation (data from the meteorological station of Météo-France, Fréjorgues, Montpellier, France) and summed over the study period to get the cumulated amount of transmitted light per plot, Lc (J/cm²). Water availability. A water-balance model (Sarr et al. 2004) was used to estimate the canopy evapotranspiration, as the daily fraction of transpirable soil water (FTSW) of each plot, taking into account daily climatic data (precipitations, solar radiation and potential reference evapotranspiration; provided by the meteorological station of Météo-France, Fréjorgues, Montpellier, France), canopy and root development, and soil water status. The model (Sarr et al. 2004) considers the soil as a reservoir with two compartments the sizes of which vary with time according to root growth and soil depth. The upper compartment, explored by the roots and supplied by rainfall, contains the soil water reserve available for the plants. Percolation occurs when the amount of water received in that compartment exceeds the maximum holding capacity, which corresponds to field capacity. The second compartment is supplied by percolation from the first compartment; water loss is due to deep percolation (Sarr et al. 2004). For this study, we calculated the daily FTSW for the 20 upper centimetres of soil, corresponding to the soil layer in which more than 80% of root biomass of phytometers was present (C. Roumet, unpublished data). The amount of soil water available was then calculated by summing the daily FTSW for the 20 upper centimetres of soil of soil during the studied period. This cumulated indicator, Wc, is unitless. 6 References Sarr B, Lecoeur J, Clouvel P (2004) Scheduling irrigation using water balance model: application to irrigation methods researches for confectionery groundnut (Arachis hypogeaea L.) quality in Senegal. Agri Wat Manage 67:201-220. 7