Appendix 1 We collected pilot data in 2012 and 2013 from 914 1-m2 understory monitoring quadrats placed within 1.2 km of the experiment. Data include all seedlings < 1.0 cm dbh, but exclude new germinants. In these data from across a range of forest types, we observed a mean of 11.4 individuals (range: 1-174) and 3.9 species (range: 1-15). Thus, fifteen individuals is on par with mean natural seedling densities, and fifteen species is the high end of observed species richness. The fifteen species employed also comprise 90% of the ~33,000 overstory stems (>1.0 cm DBH) in ~15 hectares of mapped forest located within 0.5 km of the experiment (G. Parker, unpublished data), and represent 15 of the 23 most common tree species Figure A1: Natural occurrence data for seedlings. Species are labeled with their USDA symbol: Acer rubrum (ACRU), Carpinus caroliniana (CACA18), Carya alba (CAAL27), Carya glabra (CAGL8), Cornus florida (COFL2), Fagus grandifolia (FAGR) Fraxinus pennsylvanica (FRPE), Lindera benzoin (LIBE3), Liquidambar styraciflua (LIST2), Liriodendron tulipifera (LITU), Nyssa sylvatica (NYSY), Platanus occidentalis (PLOC), Quercus alba (QUAL), Quercus falcata (QUFA), and Quercus rubra (QURU). Darker colors correspond to more frequent species pairings, and the gray boxes on the diagonal indicate the number of quadrats in which each species occurred. Given that all species co-occurred as adults in the 15-ha plot, and that uncommon species-pairings are among the least common species in the understory, we infer that less common pairings are due to species rarity rather than markedly different habitat requirements. Table A1: Species-specific replication and results The “low-density” column refers to the number of low-density monocultures in 2011, 2012, and 2013 for each species, respectively in each year. The “high density” indicates the number of high-density monocultures and polycultures in each year. For example, we had two low density plots of Liriodendron tulipifera in 2011, but none in 2012 and 2013. For high density plots, exposed plots (“deer”) are listed first, followed by caged plots (“no deer”). Diversity benefit refers to the percent change in 2013 biomass between exposed monocultures and mixtures. Biomass / individual refers to the average biomass of an individual growing in a caged plot, and species are ordered from largest to smallest mean biomass. Rank order of deer preference is shown in the last column (1 = most preferred, 12 = least preferred and ‘np’ indicates non-preferred species that did not receive damage. Ranks are based on mean proportional damage across 2012 and 2013 for uncaged monocultures. We never observed browsing on Liriodendron tulipifera due to mortality, thus we could not assess browsing preference. scientific name Fraxinus pennsylvanica Quercus alba Fagus grandifolia Cornus florida Carpinus caroliniana Quercus rubra Platanus occidentalis Liquidamber styraciflua Quercus falcata Nyssa sylvatica Lindera benzoin Carya alba Acer rubrum Carya glabra Liriodendron tulipifera 15-spp polycultures low density 2, 1, 1 2, 2, 2 2, 2, 2 2, 2, 2 1, 1, 1 2, 2, 2 2, 2, 1 1, 0, 0 2, 2, 2 2, 2, 1 2, 2, 2 0, 0, 0 2, 2, 0 1, 1, 0 2, 0, 0 n/a replication high density (deer / no deer) 3, 3, 3 / 3, 2, 2 3, 3, 3 / 3, 3, 3 3, 3, 3 / 3, 3, 3 3, 3, 3 / 3, 3, 3 3, 3, 3 / 3, 3, 3 3, 3, 3 / 3, 3, 3 3, 3, 3 / 3, 1, 2 3, 3, 3 / 3, 2, 2 3, 3, 3 / 3, 3, 3 3, 3, 3 / 3, 3, 3 3, 3, 3 / 3, 3, 3 3, 3, 3 / 3, 3, 3 3, 3, 3 / 3, 3, 3 3, 3, 3 / 3, 3, 3 2, 1, 1 / 3, 0, 0 25, 24, 24 / 25, 25, 25 diversity benefit (%) 0 135 109 1 25 118 80 -12 -14 72 45 131 245 0 n/a biomass / individual (g) 16.1 9.1 6.9 5.1 5.1 4.6 4.6 4.5 3.8 3.1 2.0 1.9 1.4 0.9 n/a deer preference 1 5 6 3 8 4 9 np 7 11 np 12 2 10 n/a Appendix 2 We used the harvested seedlings (N ~ 100 / species, ranging from 61 to 129) to construct allometric relationships between height and the natural log of biomass (g) (Fig. A2). We used these formulae (see Table A3) to estimate biomass in 2011 and 2012. In addition, we lost biomass samples for 23 individuals harvested at the end of the experiment, so we estimated their 2013 biomass from these allometric formulae as well. After we converted height to biomass, we back-transformed the estimates to remove them from the ln-scale. Note that we did not determine an allometric equation for Liriodendron tulipifera because only one individual in the entire experiment lived and thus its biomass in each plot was effectively zero. Table A2: Allometric equations by species scientific name Acer rubrum Carpinus caroliniana Carya alba Carya glabra Cornus florida Fagus grandifolia Fraxinus pennsylvanica Lindera benzoin Liquidambar styraciflua Liriodendron tulipifera Nyssa sylvatica Platanus occidentalis Quercus alba Quercus falcata Quercus rubra allometric equation 0.049x – 1.878 0.036x – 0.634 0.104x – 1.455 0.103x – 2.583 0.040x – 0.732 0.040x – 0.549 0.028x – 0.512 0.049x – 1.468 0.031x – 0.465 n/a 0.034x – 0.517 0.023x – 0.375 0.044x – 0.239 0.045x – 0.038 0.034x – 0.258 R2 0.69 0.75 0.56 0.74 0.67 0.76 0.66 0.78 0.78 n/a 0.68 0.83 0.71 0.62 0.82 Figure A2: Relationship between height (cm) and biomass (g) for each species Appendix 3 The raw data for this experiment is included as a text file (Appendix 3.txt). Please contact Dr. John Parker (parkerj@si.edu) for permission to use this data in a publication. Table A3: Metadata for the raw data column header plot tag spp dens diversity cage liveF11 liveF12 liveS13 lf12 lf13 insect11 deer11 deer12 insect12 deer13 insect13 ht11 ht12 ht13 BM13 description unique plot identifier unique identifier for seedling species designation using United States Department of Agriculture codes (plants.gov) intial planting density monoculture = single species, mixture = 15 species cage = protected from deer, no cage = exposed to deer number of individuals alive in Fall 2011 number of individuals alive in Fall 2012 number of individuals alive in Summer 2013 number of leaves present in 2012 number of leaves present in 2013 number of leaves damaged by insects in 2011 number of leaves damaged by deer in 2011 number of leaves damaged by deer in 2012 number of leaves damaged by insects in 2012 number of leaves damaged by deer in 2013 number of leaves damaged by insects in 2013 height in 2011 height in 2012 height in 2013 biomass in 2013