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bioRxiv preprint doi: https://doi.org/10.1101/845701; this version posted November 18, 2019. The copyright holder for this preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under aCC-BY 4.0 International license. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 Throwing shade: Physiological responses to light explain competition and facilitation in a tree diversity experiment Shan Kothari,1* Rebecca Montgomery,2 Jeannine Cavender-Bares1,3 1 Department of Plant and Microbial Biology, University of Minnesota, 140 Gortner Laboratory, 1479 Gortner Ave., St. Paul, MN, 55108 2 Department of Forest Resources, University of Minnesota, St. Paul, MN, 55108 3 Department of Ecology, Evolution, and Behavior, University of Minnesota, St. Paul, MN, 55108 *corresponding author Email: kotha020@umn.edu Phone: (734) 502-2817 Author contributions: SK conceived the project with JCB, conducted physiological measurements, analyzed and interpreted the data with JCB and RM, and wrote the first draft of the paper. JCB and RM designed the FAB experiment, coordinated annual biomass surveys, and contributed to subsequent revisions of the paper. Summary  Interspecific facilitation is often invoked in explanations of biodiversity-ecosystem function 22 relationships in plant communities, but it is seldom clear how it occurs. Physiological 23 experiments show that excess light causes stress that may depress long-term carbon assimilation. 24 If shading by a plant’s neighbors reduces light stress, it may facilitate that plant’s growth. On the 25 other hand, when light is a limiting factor for growth, shading will often have a net negative, 26 competitive effect. 27  In a tree diversity experiment, we measured growth rates and photosynthetic physiology of 28 broadleaf tree species across a gradient of light availability imposed by their neighbors. At the 29 extremes, trees experienced nearly full sun (monoculture), or were shaded by nearby fast-growing 30 conifers (shaded biculture). 31  Although most species had lower growth with larger neighbors, implying a net competitive effect, 32 the two most shade-tolerant species (Tilia americana and Acer negundo) had positive responses 33 to neighbor size. Compared to the others, these two species were especially susceptible to 34 photoinhibition (reduced dark-acclimated Fv/Fm) in full sun. While most species had lower bioRxiv preprint doi: https://doi.org/10.1101/845701; this version posted November 18, 2019. The copyright holder for this preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under aCC-BY 4.0 International license. 35 assimilation rates in shaded bicultures, T. americana had carbon assimilation rates up to 25% 36 higher. T. americana also dropped its leaves 3-4 weeks later in the shaded biculture, extending its 37 growing season. We conclude that although large neighbors can cause light limitation in shade- 38 intolerant species, they can also increase growth through abiotic stress amelioration in shade- 39 tolerant species. 40  Both positive and negative species interactions in our experiment can be explained by the 41 photosynthetic responses of trees to the light environment created by their neighbors. We show 42 that physiological measurements can deepen our understanding of the species interactions that 43 underlie biodiversity-ecosystem function relationships. 44 45 Keywords: Photoprotection; photoinhibition; photosynthetic light-response curves; competition; 46 facilitation; tree diversity; biodiversity and ecosystem function 47 48 49 50 51 52 53 54 55 56 57 58 59 60 bioRxiv preprint doi: https://doi.org/10.1101/845701; this version posted November 18, 2019. The copyright holder for this preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under aCC-BY 4.0 International license. 61 Introduction 62 The sun’s light powers photosynthesis, the chain of reactions through which plants turn carbon 63 dioxide into the living matter they use to grow and reproduce. A dominant view in plant ecology is that 64 light is often a limiting resource, and competition for scarce light shapes the fate of plant species (Braun- 65 Blanquet 1932; Canham et al. 1994; Monsi & Saeki 2005; Dybzinski & Tilman 2007). While this is often 66 true, physiologists have also shown that, as other factors begin to limit photosynthesis, plants often absorb 67 more light than they are able to use. Beyond an initial linear rise with increasing light availability, 68 photosynthesis begins to saturate, such that additional light contributes little to the plant’s carbon gain. 69 Moreover, external factors that limit photosynthesis—including water limitation, cold temperatures, or 70 nutrient-poor conditions—can exacerbate this excess of light (Fig. 1; Long et al. 1991; Demmig-Adams 71 & Adams 1992; Demmig-Adams & Adams 2018). 72 Light is thus both an essential resource and a potential stressor. A chronic excess of light can 73 cause lasting oxidative damage to plant cells, especially Photosystem II (PSII), and this damage reduces 74 the efficiency of photosynthesis. Plants can avoid damage through mechanisms of photoprotection. These 75 include biochemical pathways that shunt off excess light safely as heat—most notably, the xanthophyll 76 cycle. They also include structural means of avoiding excess light interception, such as self-shading, 77 reflective leaves, or steep leaf angles (Lovelock et al. 1992; Pearcy et al. 2005; Kothari et al. 2018). 78 However, once induced, many forms of biochemical photoprotection are slow to reverse. Even when light 79 conditions are no longer stressful, these mechanisms may continue to suppress photosynthesis for some 80 time (Demmig-Adams and Adams 2006; Kromdijk et al. 2016). Similarly, structural mechanisms like 81 self-shading may be costly under low ambient light. In general, photoprotective ability often increases 82 with exposure to conditions that put plants at risk of damage in the habitat of origin, including high light 83 (Montgomery et al. 2008) and cold or dry conditions (Cavender-Bares 2007; Savage et al. 2009; Wujeska 84 et al. 2013; Ramírez-Valiente et al. 2013). In these environments, photoprotection may be necessary to 85 prevent even more costly damage. bioRxiv preprint doi: https://doi.org/10.1101/845701; this version posted November 18, 2019. The copyright holder for this preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under aCC-BY 4.0 International license. 86 Depending on a plant’s level of investment in photoprotection, these mechanisms may lack the 87 capacity to protect against prolonged exposure to excess light, which can reduce net carbon assimilation 88 rates (Egerton et al. 2000; Howell et al. 2002; Murchie & Niyogi 2011). Consistent with Long et al. 89 (1991), we use the term “photoinhibition” to describe a potential drop in carbon assimilation caused by 90 either photodamage or slow-reversing biochemical photoprotection. Aside from its direct effects, light can 91 also alter other microclimatic factors, like temperature, soil moisture, and vapor pressure deficit (VPD), 92 which can compound photoinhibition (Björkman & Powles 1984). For example, high VPD can lower 93 carbon assimilation by causing stomatal closure, which reduces the potential to use light for 94 photosynthesis; this effect, in turn, may increase the risk of photoinhibition, reducing photosynthetic 95 capacity further. Competition may also may increase a plant’s risk of photoinhibition if it reduces its 96 access to resources in a way that limits photosynthesis. Thus, photodamage and photoprotective 97 investments are likely to affect plants’ fitness and distribution across environmental gradients (Külheim et 98 al. 2002). 99 Given that light can cause stress, it may be possible for one plant species to facilitate another 100 through shading. Whether shading by one species has a positive or negative overall effect on another 101 depends on the balance of two effects: 102 103 104 1. Potential reduction of carbon gain through declines in light available for photosynthesis at any given instant; and, 2. Avoidance of chronic stress, which may increase photosynthetic rates at any given light level. 105 Monteith et al. (1977) defined light-use efficiency (LUE) as net photosynthesis divided by the amount of 106 photosynthetically active radiation (PAR) absorbed. In terms of this formalism, an individual plant will 107 have higher photosynthetic rates in the shade when the proportional benefit of (2) is greater than the 108 proportional loss caused by (1). Changes in instantaneous irradiance alter the position along a 109 photosynthetic light-response curve; changes in LUE alter the parameters of the curve such that plants 110 assimilate more or less carbon at a given irradiance (Fig. 1). bioRxiv preprint doi: https://doi.org/10.1101/845701; this version posted November 18, 2019. The copyright holder for this preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under aCC-BY 4.0 International license. 111 Here, we test whether the shade created by trees can facilitate the carbon assimilation and growth 112 of neighboring trees in a biodiversity experiment. Experimental and observational research alike has 113 shown that biodiversity often promotes ecosystem functions such as productivity (Tilman et al. 2014). In 114 forests, this trend has been shown through both experimental (Potvin & Gotelli 2008; Tobner et al. 2016; 115 Grossman et al. 2017; Williams et al. 2017; Huang et al. 2018; Zemp et al. 2019) and observational 116 (Gamfeldt et al. 2013; Liang et al. 2016; Oehri et al. 2017) data, across temperate (Tobner et al. 2016; 117 Grossman et al. 2017; Williams et al. 2017), subtropical (Huang et al. 2018), and tropical (Potvin & 118 Gotelli 2008; Zemp et al. 2019) forests. These positive relationships are robust to variation in climate, 119 successional stage, and other factors (reviewed in Grossman et al. 2018; Ammer 2018). 120 One of the many factors that could contribute to positive biodiversity-productivity relationships is 121 interspecific facilitation through reduction of abiotic stress (Wright et al. 2017). Some research has 122 marshaled indirect evidence that facilitative interactions promote these relationships by linking patterns of 123 productivity to species traits (Fichtner et al. 2017). Nevertheless, the physiological mechanisms that 124 underlie these effects are poorly understood, despite their potential relevance for projecting species 125 interactions under environmental change. 126 In this paper, we examined the interactions among tree species in the Forests and Biodiversity 127 (FAB) experiment at Cedar Creek Ecosystem Science Reserve (East Bethel, MN). We ask: Do certain 128 species aid the growth of others by shielding them from stresses caused by high irradiance? In particular, 129 given that conifer species had higher initial growth rates (Table 1), we focused on whether they could 130 facilitate the growth of broadleaf species through shading. 131 We addressed this question by measuring the physiology of carbon gain among broadleaf species 132 across neighborhood environments. We examined whether photosynthetic physiology might explain 133 patterns in aboveground woody growth. If shading by neighbors does have a net positive effect for some 134 species, we would expect larger neighbors to cause focal individuals to have higher growth and carbon 135 assimilation rates. We also posed the hypothesis that trees exposed to high light would use structural and 136 biochemical photoprotective mechanisms more than those in lower light environments. If true, this bioRxiv preprint doi: https://doi.org/10.1101/845701; this version posted November 18, 2019. The copyright holder for this preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under aCC-BY 4.0 International license. 137 finding would imply that trees growing in high light must invest in photoprotection to avoid damage, 138 reinforcing our proposition that light stress influences the interactions within these communities. 139 140 Methods 141 Experimental design 142 The Forests and Biodiversity (FAB) experiment began in 2013 and comprises 142 4 × 4 m plots, 143 each planted with 64 trees in a 0.5 × 0.5 m grid. These plots form three blocks, each with 49 plots 144 arranged in a 7 × 7 square. Neighboring plots within blocks are immediately adjacent to one another. 145 Each plot is planted with 1, 2, 5, or 12 species from a pool of 12 total species (Table 1). These species 146 include four evergreen conifers with needle-like leaves (two distinct families) and eight deciduous, 147 broadleaf angiosperms (four distinct families). Except for five-species plots, each distinct species 148 composition has a replicate in each block. All species in a plot have approximately equal frequency, and 149 the placement of species within a plot is random. Further details about the experimental design can be 150 found in Grossman et al. (2017). 151 The mean relative growth rate in monoculture during the first three years varied dramatically 152 among species, being highest in conifers and B. papyrifera (Table 1). During these first three years, 153 Grossman et al. (2017) found that diverse plots overyield in productivity—their growth is greater than a 154 weighted average of the constituent species’ growth in monoculture. Using the partition of Loreau & 155 Hector (2001), most of this overyielding was due to complementarity effects, which are often interpreted 156 as a result of synergistic interactions among species, rather than selection effects. 157 158 159 Tree growth We surveyed tree growth in late fall of each year. For all living trees, we measured diameter and 160 height to the tallest leader. We measured basal diameter (5 cm from the ground) for trees less than 137 cm 161 tall; and diameter at breast height for trees more than 137 cm tall. For a subset of individuals, we 162 measured both diameters. To predict basal diameter when it was not measured, we used linear bioRxiv preprint doi: https://doi.org/10.1101/845701; this version posted November 18, 2019. The copyright holder for this preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under aCC-BY 4.0 International license. 163 relationships predicting basal diameter from the height of the same individual in the same year and the 164 basal diameter in the previous year. 165 We estimated woody stem volume as 𝑉 = 𝜋𝑟 2 ℎ, where h is height and r is the basal radius (half 166 the basal diameter). This assumes each tree stem is a cylinder, an assumption that has been used and 167 justified in other tree diversity studies (Tobner et al. 2016; Williams et al. 2017), in the absence of 168 system-specific allometric equations. We then calculated the yearly relative growth rate (RGR) between 169 2016 and 2018 as 𝑅𝐺𝑅 = (ln 𝑉2018 − ln 𝑉2016 )/2 (Hoffman & Poorter 2002). We chose 2016 as a 170 171 starting point because no replanting of dead trees occurred after that point. For each tree, we also calculated the average stem volume of its eight neighbors (in cardinal and 172 intercardinal directions) in 2018 as a proxy for the intensity of aboveground interactions. We assessed 173 neighbor effects on focal individual growth using ordinary least-squares (OLS) regression. When a 174 neighbor was missing, either due to mortality or because the focal individual was on the edge of the 175 experiment, we assigned that neighbor a volume of zero. 176 177 178 Photosynthetic physiology We measured dark- and light-acclimated chlorophyll fluorescence parameters and reflectance 179 spectra across all eight broadleaf species. We also measured photosynthetic light-response curves across 180 four focal species (A. rubrum, B. papyrifera, Q. ellipsoidalis, and T. americana). 181 For measurements of physiology, we focused on three kinds of plots: (1) monocultures of 182 broadleaf species (“monoculture”); (2) bicultures comprising one broadleaf and one conifer species 183 (“shaded biculture”); and (3) twelve-species plots (“twelve-species”) (see Fig. S1 for sample images). For 184 each species in each treatment, we measured physiological parameters on six individuals—two in each of 185 three plots. Neither A. negundo nor Q. macrocarpa was planted with a conifer in any biculture plots. We 186 used B. papyrifera as a shaded biculture partner for Q. macrocarpa because it is a fast-growing species 187 that draws down light availability. We omitted the shaded biculture treatment for A. negundo. 188 bioRxiv preprint doi: https://doi.org/10.1101/845701; this version posted November 18, 2019. The copyright holder for this preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under aCC-BY 4.0 International license. 189 190 Photosynthetic light-response curves We measured photosynthetic-light response curves from the four focal species during July 2018 191 using an LI-6400 gas exchange system (LI-COR BioSciences, Lincoln, NE) with a 6400-40 Leaf 192 Chamber Fluorometer head. From each tree (n = 72 total), we selected a fully expanded upper leaf with 193 no visible sign of disease or herbivory. We noted the angle of each leaf relative to horizontal to the 194 nearest 15˚ before beginning measurements. Each curve had nine steps in descending order of brightness: 195 2000, 1500, 1000, 500, 200, 100, 50, 20, and 0 µmol m-2 s -1. We also measured relative electron transport 196 rate (ETR) using chlorophyll fluorescence at each light level. We maintained favorable conditions inside 197 the chamber during each measurement. Following each curve, we removed the leaf to measure leaf mass 198 per area (LMA). Further details about light-response curve procedures and ETR calculations can be found 199 in the Supplemental Methods. Finally, we fitted a non-rectangular hyperbolic model (Lobo et al. 2013) to 200 each light-response curve using R code written by Nick Tomeo, available at: 201 https://github.com/Tomeopaste/AQ_curves. 202 We aimed to determine how carbon assimilation rates vary with the ambient light level, which we 203 define as the photosynthetic photon flux density (PPFD) one might measure in an open field adjacent to 204 the experiment. For most leaves we measured, in situ light availability is lower than the ambient light 205 level, mainly because each tree is shaded by its neighbors. To estimate each tree’s carbon assimilation as 206 a function of ambient light, we have to transform its measured photosynthetic light-response curve along 207 the x-axis according to its light availability. 208 For example, if the topmost leaves of a particular tree only receive 50% of ambient light, we 209 would stretch its light-response curve two-fold along the x-axis. For this tree, the realized assimilation 210 rate we estimate at an ambient (or open-field) PPFD of 2000 µmol photons m-2 s -1 would be the 211 assimilation rate at an leaf-level PPFD of 1000 µmol m-2 s -1. The exact scaling factor is estimated for 212 each individual as RLA × cos(θ), where RLA is relative light availability (see Light availability) and θ is 213 the leaf angle. (Taking the cosine of θ approximately corrects for the reduction in horizontally projected 214 leaf area in steeply inclined leaves when the sun is directly overhead, as simplified from Ehleringer & bioRxiv preprint doi: https://doi.org/10.1101/845701; this version posted November 18, 2019. The copyright holder for this preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under aCC-BY 4.0 International license. 215 Werk [1986].) We used this procedure on each fitted curve in order to compare across treatments in a way 216 that accounts for the variable light intensity each individual receives. We refer to photosynthetic light- 217 response curves that describe a function of the leaf chamber PPFD as chamber light-response curves, and 218 the rescaled light-response curves as a function of ambient PPFD as ambient light-response curves. 219 Finally, we used ambient light-response curves to estimate carbon assimilation by top leaves 220 throughout July. We used an hourly averaged time series of ambient solar radiation from Carlos Avery 221 Wildlife Management Area in Columbus, MN, 13.6 km away from the study site. Following Carruthers et 222 al. (2001), we assumed a conversion of 0.217 μmol photons m-2 s-1 of PAR per Watt m-2 of solar radiation. 223 By using these data as inputs to the ambient light-response curves, we could estimate integrated carbon 224 assimilation across the month of July. This procedure assumes that the photosynthetic response to light 225 remains constant, and is not affected by factors like leaf temperature and stomatal closure. This 226 assumption is unrealistic, but we nevertheless consider it a useful way of estimating the consequences of 227 realistic fluctuations in the light environment. We compared treatments within species using ANOVA. 228 Throughout the paper, we express assimilation per unit of leaf dry mass because we aim to 229 determine the plants’ return on investment in biomass. As expected, leaves growing in low light 230 environments tended to have lower LMA in most species (Poorter et al. 2019), and expressing data on a 231 mass basis accounts for these large differences in construction cost. We also express stomatal 232 conductance (gs) and electron transport rate (ETR) on a mass basis for comparison with assimilation rates, 233 with the caveat that both of these processes typically occur near the leaf surface. 234 235 236 Instantaneous chlorophyll fluorescence, pigments, and spectral reflectance Across all eight broadleaf species, we measured chlorophyll fluorescence parameters using an 237 FMS2 pulse-modulated fluorometer (Hansatech Instruments Ltd., Norfolk, UK) over two days in late July 238 (n = 138 total). We measured both dark- and light-acclimated parameters at the same spot on the same 239 leaves. For dark-acclimation, we placed opaque leaf clips on the leaf the evening before measurement. bioRxiv preprint doi: https://doi.org/10.1101/845701; this version posted November 18, 2019. The copyright holder for this preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under aCC-BY 4.0 International license. 240 We then measured Fv/Fm within two hours after sunrise; this parameter is a general index of 241 photoinhibition (including sustained photoprotection). 242 We took light-acclimated measurements between 12:00 and 14:00 each day. The protocol 243 involved the following steps: actinic light at 1000 µmol m-2 s-1 for 15 seconds, a saturating pulse, and two 244 seconds of far-red light. We exposed all leaves to the same actinic light because we aimed to assess 245 photoprotective capacity under comparable light conditions, even though individual trees had different 246 light environments. 247 From these data, we estimated qN, a parameter that indicates the extent of non-photochemical 248 quenching under the imposed actinic light; this parameter is correlated with de-epoxidation of 249 xanthophyll cycle pigments (Watling et al. 1997; Cavender-Bares and Bazzaz 2004). Following Kramer 250 et al. (2004), we also calculated the quantum yields ϕPSII, ϕNPQ, and ϕNO, which sum to 1. These three 251 parameters are the proportions of light energy dissipated through photochemistry, non-photochemical 252 quenching, and non-regulated energy dissipation, respectively. The last is a crucial parameter because it 253 represents the inability of a plant to dissipate light in a safe way; this portion of the absorbed light may 254 contribute to photodamage. The Supplemental Methods contain formulas for all parameters and 255 justifications for our choices in data analysis. 256 On separate top leaves of the same trees, we measured reflectance spectra (350-2500 nm) using a 257 PSR+ 3500 field spectroradiometer (Spectral Evolution, Lawrence, MA). We used these spectra to 258 calculate the photochemical reflectance index (PRI), a two-band index that most strongly indicates 259 carotenoid : chlorophyll ratios (Gamon et al. 1992; Wong & Gamon 2015; Gitelson et al. 2017). This 260 index is calculated as PRI = (R531 - R570) / (R531 + R570), where Rn is reflectance at a wavelength of n nm. 261 Low PRI tends to indicate high carotenoid : chlorophyll ratios. We estimated species-specific OLS 262 regression slopes of PRI and of each chlorophyll fluorescence parameter against relative light availability 263 (see Light availability). bioRxiv preprint doi: https://doi.org/10.1101/845701; this version posted November 18, 2019. The copyright holder for this preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under aCC-BY 4.0 International license. 264 To understand how photoprotective allocation varies with adaptations to shade, we used shade 265 tolerance values compiled by Niinemets & Valladares (2006) on a five-point scale based on prior 266 literature. Higher values along this scale indicate that plants are able to grow in lower light conditions. 267 268 269 Phenology We also monitored the timing of leaf abscission in monoculture and shaded biculture plots for T. 270 americana to assess whether shade could delay senescence and abscission, extending the period for 271 carbon gain (Cavender-Bares et al. 2000). In early August, we surveyed 120 T. americana trees (60 in 272 monoculture, 60 in shaded biculture) to determine the proportion of leaves that had fallen based on how 273 many of the top five axillary buds lacked a leaf. From each of these trees, we marked a single leaf and 274 returned every 1-2 weeks to monitor its senescence. We assessed each leaf on a binary basis (senesced or 275 not) based on whether it had at least 50% remaining green leaf area. We chose this criterion as a simple 276 proxy for the continuous scale used by Cavender-Bares et al. (2000). Based on the initial survey and the 277 repeated surveys of marked leaves, we tracked the proportion of leaves that had senesced over time. To 278 ensure that leaves were photosynthetically active until near the point of senescence, we collected a one- 279 time measurement of dark-acclimated Fv/Fm in mid-September among remaining leaves. 280 We also performed a one-time measurement of 60 (30 per treatment) A. rubrum plants on October 281 1, using the same protocol we used to do our initial early August survey of T. americana. We aimed for 282 this survey to help test the validity of our results across species. 283 284 Water potential 285 Water deficits—even moderate ones—can reduce carbon gain by causing stomata to close 286 (Brodribb et al. 2003). To assess how our treatments affected water status, we measured leaf water 287 potential using a Scholander pressure bomb. We measured pre-dawn water potential (ΨPD) in all eight 288 broadleaf species (n = 96) and midday water potential (ΨMD; between 12:00 and 14:00) in only the four 289 focal species (n = 48). In these measurements, we included monoculture and shaded biculture treatments, bioRxiv preprint doi: https://doi.org/10.1101/845701; this version posted November 18, 2019. The copyright holder for this preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under aCC-BY 4.0 International license. 290 except in A. negundo, where we used the twelve-species treatment in place of the absent shaded biculture 291 treatment. For all water potential measurements, we removed leaves and immediately placed them in 292 impermeable plastic bags with wet paper towels, which we stored in a cooler. We then transported leaves 293 indoors to be measured within 90 minutes. 294 Because we only intended to test whether there was a general tendency, across species, for water 295 potential to vary with treatment, we included species identity as a random effect and treatment as a fixed 296 effect in both models. 297 298 299 Leaf angles Leaf angle is a key control on light exposure because more vertical leaves intercept less light 300 when the sun is directly overhead, and allow light to percolate deeper into the canopy. As a result, steep 301 leaf angles can be a key structural strategy for avoiding light, temperature, and water stress (Valladares & 302 Pugnaire 1999; Werner et al. 1999; Pastenes et al. 2004; Valiente-Banuet et al. 2010). We predicted that 303 trees in monoculture would have steeper leaf angles than those in other treatments because they need to 304 avoid excess light. From each of three species (A. rubrum, Q. ellipsoidalis, and T. americana), we 305 randomly selected five individuals from each of six plots—three from monoculture treatments, three from 306 shaded bicultures (n = 15 per species × treatment). On these individuals, we measured the leaf angle from 307 horizontal, to the nearest 15˚, of the top five leaves in the crown. 308 Because angles of leaves within individuals may be non-independent, we tested differences 309 among treatments using a mixed-effects model with treatment as a fixed effect and individual tree nested 310 within plot as a random effect. Because deviations from horizontal in either direction can reduce light 311 interception, we used the absolute value of leaf angle as the dependent variable in statistical analyses. We 312 calculated p-values using Satterthwaite’s degrees of freedom method in the lmerTest package 313 (Kuznetsova et al. 2017), with the caveat that such values should be interpreted conservatively. 314 315 bioRxiv preprint doi: https://doi.org/10.1101/845701; this version posted November 18, 2019. The copyright holder for this preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under aCC-BY 4.0 International license. 316 Environmental data 317 Light availability 318 319 On a cloudy day, under diffuse light conditions, we measured light interception above each tree 320 selected for this study (n = 138) using an AccuPAR LP-80 ceptometer (METER Group, Pullman, WA). 321 We took the mean of two to four PAR measurements in the open and the mean of two measurements 322 directly above the topmost leaf of each tree. By calculating a ratio of these values, we could calculate the 323 percent of light transmitted to the top of each tree. We called this value relative light availability. This 324 value is typically well-correlated with the percentage of ambient light available over much longer time- 325 scales (Parent & Messier 1996). 326 327 328 Soil water content We collected a one-time measurement of soil volumetric water content in mid-August using a 329 FieldScout Time-Domain Reflectometer 350 (Spectrum Technologies, Inc., Aurora, IL). This single 330 measurement followed six days from the last major rain. At midday, we collected and averaged three 331 measurements in each of 32 plots, spanning monocultures of the four core broadleaf species, shaded 332 bicultures, and twelve-species plots. 333 334 335 Air temperature For nine days during early September, we set out four Thermochron iButtons (model DS1921G; 336 Maxim Integrated Products, Sunnyvale, CA, USA) in shaded plots and two in twelve-species plots, 337 setting them to log air temperature hourly. Each iButton was suspended on mesh inside a 1 m-tall PVC 338 pipe that was capped with an elbow to shield against solar irradiance. We compared these data to air 339 temperature measured hourly under open, sunny conditions at the Cedar Creek LTER weather station 340 about 0.77 km away. We assumed that data from this station would be representative of air temperature in bioRxiv preprint doi: https://doi.org/10.1101/845701; this version posted November 18, 2019. The copyright holder for this preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under aCC-BY 4.0 International license. 341 non-shaded areas. We ignored nighttime and early morning (20:00-08:00 h) readings because iButtons 342 may have been influenced by evaporative cooling of condensed water droplets. 343 344 Results 345 Tree size and growth 346 Neighborhood-scale relationships between focal individual RGR and total neighbor stem volume 347 were noisy but highly significant in most species (Fig. 2). The sign and strength of the relationships 348 varied among species. In most species, individuals with larger neighbors had lower RGR, including in A. 349 rubrum (R2 = 0.033, p <10-5), Q. alba (R2 = 0.038, p <10-6), Q. ellipsoidalis (R2 = 0.030, p <10-5), Q. 350 macrocarpa (R2 = 0.027, p <10-5), and Q. rubra (R2 = 0.056, p <10-9). On the other hand, some species 351 grew faster with larger neighbors, including A. negundo (R2 = 0.018, p < 0.005) and T. americana (R2 = 352 0.019, p <10-4). B. papyrifera showed no significant relationship with neighbor size. These results are 353 qualitatively unchanged by eliminating trees on the edge of the experiment or incorporating plot as a 354 random effect. 355 Although these individual-level effects are noisy, they show strong tendencies in average stem 356 growth across the full range of potential neighbor size. Imagine two T. americana trees that begin at the 357 same size in 2016: One in monoculture, where the average neighbor in 2018 is 573 cm3, and one growing 358 in a shaded biculture with Pinus strobus, where the average neighbor is 2175 cm3. The neighborhood- 359 level regression predicts that after two years, the average T. americana in the shaded biculture would be 360 39.7% larger due to the difference in RGR. Or, consider Q. rubra, which had the strongest negative 361 response to neighbor size: We predict that an average tree in the shaded biculture would be 39.1% smaller 362 than in monoculture. Because these figures assume that treatments show no average size differences by 363 2016, they may underrepresent the true differences in size that have accumulated and may continue to 364 accumulate with time. 365 366 We can also aggregate these observations to the plot scale—for example, by considering the RGR of summed stem volume of each species in each plot (Fig. 2). (This approach is distinct from an average bioRxiv preprint doi: https://doi.org/10.1101/845701; this version posted November 18, 2019. The copyright holder for this preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under aCC-BY 4.0 International license. 367 of individual RGRs, which assigns equal weight to small and large individuals.) Although aggregation 368 leaves less power to detect significant relationships, the relationships we find here explain much more of 369 the variation in growth across plots, including negative RGR responses to average neighbor biomass in Q. 370 alba (R2 = 0.311, p < 0.001) and Q. macrocarpa (R2 = 0.174, p < 0.01) and a positive response in T. 371 americana (R2 = 0.282, p < 0.001). 372 Trees that died between 2016 and 2018 dropped out of our individual-level analyses of RGR 373 because their stem volume was 0 in 2018, making it impossible to calculate RGR. To see whether 374 mortality could alter our conclusions, we also performed statistical analyses on untransformed growth in 375 stem volume from 2017 to 2018, in which we alternately (1) treated mortality as a decline in volume to 0, 376 or (2) removed trees that died from analyses. The rate of mortality was low between 2016 and 2018 377 (~7.5%), and accounting for mortality makes no qualitative difference when considering absolute growth 378 as the response variable (Fig. S2). 379 380 Photosynthetic physiology 381 Photosynthetic light-response curves 382 In three out of the four focal species (Q. ellipsoidalis, A. rubrum, and T. americana), 383 photosynthetic rates (per unit dry mass) were higher in shaded biculture and twelve-species treatments 384 than in monoculture at any given chamber light level (Fig. 3, left). In the lone pioneer species, B. 385 papyrifera, photosynthetic rates in shaded biculture were lower than in the other two treatments. 386 The rate of photosynthesis is often limited by either ETR or by RuBP carboxylation rate, which in 387 turn is often limited by stomatal diffusion of CO2 (Farquhar et al. 1980). In our data, both ETR and 388 stomatal conductance (gs) increase with light availability (Fig. S3). (ETR tends to decline at very high 389 light levels, especially in shaded treatments, perhaps due to acute photoinhibition.) Within each species, 390 the rank-order of treatments in photosynthetic rates, ETR, and gs tend to be broadly congruent. One 391 exception is that T. americana in shaded biculture has much higher gs than in twelve-species or 392 monoculture plots, despite having slightly lower photosynthetic rates than in twelve-species plots. bioRxiv preprint doi: https://doi.org/10.1101/845701; this version posted November 18, 2019. The copyright holder for this preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under aCC-BY 4.0 International license. 393 Compared to chamber light-response curves, the picture that emerges from ambient light- 394 response curves is more complex (Fig. 3, right). In B. papyrifera, the shaded biculture treatment still had 395 the lowest assimilation rate across light levels. In late-successional T. americana, the shaded biculture and 396 twelve-species treatments had higher assimilation rates across most light levels, by up to 25%. In the 397 other two species, assimilation rates were highest in monoculture at low light availability; as top-of- 398 canopy light increases, assimilation rates for twelve-species and (in Q. ellipsoidalis) shaded biculture 399 plots eventually intersect and surpass monoculture rates. 400 Using a time series of solar radiation, we estimated total assimilation rates in July 2018 based on 401 each ambient light-response curve (Fig. S4). We found that trees would have lower total assimilation in 402 shaded biculture than in monoculture in A. rubrum (ANOVA; p = 0.012) and B. papyrifera (p = 0.003); in 403 both species, trees in twelve-species plots did not differ from those in monoculture. In the other two focal 404 species, there were no significant differences among treatments. In these integrated estimates, the costs of 405 shade seem larger than one might suppose from looking only at instantaneous assimilation rates under 406 high ambient light. We attribute these high costs to the fact that light levels were frequently low; PPFD 407 was under 500 µmol m-2 s-1 more than 60% of the time. It is under these low-light conditions that trees in 408 monoculture most outperform those in shaded biculture. 409 410 411 Instantaneous chlorophyll fluorescence, pigments, and spectral reflectance Among all eight species except the early-successional B. papyrifera, dark-acclimated Fv/Fm 412 declined as relative light availability increased (Fig. 4), showing that high light exposure causes 413 photoinhibition. Across all trees of the four focal species, dark-acclimated Fv/Fm is positively correlated 414 with light-saturated photosynthetic rates (Asat), as estimated from the non-rectangular hyperbolic model 415 (OLS regression; R2 = 0.44; p < 10-9; Fig. 5). Slopes are not significantly different among species. This 416 effect suggests that photoinhibitory declines in PSII efficiency may contribute to variation in light- 417 response curves. bioRxiv preprint doi: https://doi.org/10.1101/845701; this version posted November 18, 2019. The copyright holder for this preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under aCC-BY 4.0 International license. 418 In most species, qN rose with in situ light availability, indicating that trees that grow in high light 419 have a higher capacity to dissipate excess light with non-photochemical quenching (Fig. 4). However, two 420 species were clear exceptions: In T. americana and A. negundo, qN was nearly invariant across the range 421 of light availability they experienced, which suggests that these species are unable to upregulate 422 photoprotection in full sun. 423 Extracting the species-specific slopes of the change in dark-acclimated Fv/Fm with relative light 424 availability, we find that that the species with the greatest decline in Fv/Fm are the most shade-tolerant 425 (Fig. 5; R2 = 0.601; p = 0.025). Similarly, more shade-tolerant species have less (or no) increase in qN at 426 high light availability (R2 = 0.619; p = 0.022). These results suggest that shade-tolerant species may fail to 427 protect themselves from excess light when growing in light-saturated environments, making them 428 susceptible to photoinhibition. This suggestion is borne out in patterns of ϕNO across light environments, 429 which show that T. americana and A. negundo exposed to 1000 μmol photons m-2 s-1 are just as 430 susceptible to non-regulated dissipation of light when growing in full sun as in the shade (Fig. 4). 431 On a ternary plot, we plotted ϕPSII, ϕNPQ, and ϕNO—the quantum yields of PSII photochemistry, 432 non-photochemical quenching, and non-regulated dissipation, respectively—to illustrate how light energy 433 is dissipated differently across treatments (Fig. S5). Our results broadly show that across species, when 434 exposed to an equivalent, high level of light per unit area, trees that develop in the sun vary in ϕPSII and 435 ϕNPQ but have lower ϕNO. However, because they regularly experience higher light levels, they may still be 436 at high risk of damage. 437 PRI declined with increasing light availability in all species, which supports the idea that trees in 438 monoculture allocate more to carotenoids (Fig. 4). Although this relationship had remarkably consistent 439 slopes and intercepts across nearly all species, B. papyrifera had higher PRI at all light levels within its 440 narrow domain. 441 442 443 bioRxiv preprint doi: https://doi.org/10.1101/845701; this version posted November 18, 2019. The copyright holder for this preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under aCC-BY 4.0 International license. 444 Phenology 445 In T. americana, leaf abscission in monoculture began in early August, and more than half of all 446 leaves had senesced by September 3 (Fig. 6). In shaded bicultures, more than 90% of leaves remained by 447 September 3, and no survey found greater than 50% senescence until October 1. We assigned the 448 senescence date of each leaf as the date of the first survey by which it had senesced; using this response 449 variable, leaves in monoculture senesced much earlier than those in shaded cultures (t-test; p < 10-11). 450 These results suggest that leaves in shaded bicultures had, on average, one additional month for carbon 451 gain. Here, we assume that leaves in shaded biculture did not downregulate photosynthesis long before 452 abscission, which was supported by mid-September measurements of dark-acclimated Fv/Fm. In shaded 453 biculture, dark-acclimated Fv/Fm averaged 0.745 at this point, which was higher than the mean among 454 remaining monoculture leaves, 0.642 (t-test; p = 0.061). 455 Our one-time measurement of A. rubrum leaves in early October suggested that this pattern is not 456 limited to T. americana. A. rubrum trees in shaded biculture plots retained about 56% of their leaves, 457 while those in monoculture retained only 10% (t-test; p < 10-4). 458 459 460 Water potential For ΨPD, we removed two data points—one in shaded biculture, one in monoculture—with values 461 more negative than -0.8 MPa on the grounds that they may have been caused by measurement error. 462 Across treatments, the mean ΨPD and ΨMD were -0.15 and -1.29 MPa, respectively. ΨPD in shaded 463 bicultures was more negative than in monocultures by about 0.07 MPa (p = 0.004). This result holds even 464 when including the outliers (p = 0.049), with a mean difference of 0.08 MPa between treatments (Fig. 465 S6). By midday, this pattern reversed; ΨMD was more negative in monocultures than shaded bicultures, 466 with a mean difference of 0.33 MPa (p = 0.004). 467 468 469 bioRxiv preprint doi: https://doi.org/10.1101/845701; this version posted November 18, 2019. The copyright holder for this preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under aCC-BY 4.0 International license. 470 471 Leaf angles Among each of the three species in which we measured leaf angles, leaves were more horizontal 472 in the shaded biculture treatment (Fig. 7). The size of this effect varied among species: 9.0˚ in Q. 473 ellipsoidalis (p = 0.037), 22.0˚ in A. rubrum (p = 0.022), and 25.0˚ in T. americana (p = 0.002). The 474 direction of this shift varied among species. Because T. americana leaves usually drooped downward in 475 monoculture, leaf angles became less negative in shade. In contrast, Q. ellipsoidalis, whose leaves were 476 often inclined upwards in monoculture, had less positive leaf angles in the shade. In A. rubrum, leaf 477 angles in monoculture were inclined both up and down, while in shade, leaves had a tendency to become 478 more horizontal. 479 480 481 Environmental factors In our survey, soil moisture varied among treatments (ANOVA; p < 0.01); it was lowest (5.7%) 482 in shaded biculture plots and highest (7.2%) in broadleaf monoculture plots. We found that daytime air 483 temperature in the open was higher than in shaded bicultures or twelve-species plots at 62.5% of hourly 484 log-points during the nine-day logging period. The air temperature in monocultures averaged 1.03˚ C 485 higher over this period. 486 487 Discussion 488 We investigated how species interactions in a tree diversity experiment might emerge from the 489 physiological responses of trees to the light environment created by their neighbors. We found that two 490 species (A. negundo, T. americana) grew faster on average with larger neighbors, while five (A. rubrum, 491 Q. alba, Q. ellipsoidalis, Q. macrocarpa, and Q. rubra) grew slower. The two species with positive 492 responses to neighbor size were shade-tolerant and faced a high risk of photoinhibition in high light, 493 which could cause carbon assimilation to be lower in monoculture. In contrast, the five species with 494 negative responses increased non-photochemical quenching in high light and tended to have lower carbon 495 gain in shaded bicultures. These results suggest that the divergent responses of these two groups of bioRxiv preprint doi: https://doi.org/10.1101/845701; this version posted November 18, 2019. The copyright holder for this preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under aCC-BY 4.0 International license. 496 species were driven, at least in part, by their tolerance to excess light. Here, we interpret these patterns in 497 further detail. 498 499 Physiology of carbon gain 500 We chose our four focal species along a gradient from early-successional, shade-intolerant B. 501 papyrifera, to mid-successional A. rubrum and Q. ellipsoidalis, to late-successional, shade-tolerant T. 502 americana (Braun 1954). This successional gradient aligns with the varied consequences of shade for 503 carbon gain across species. Growing in a shaded biculture can either: (1) decrease assimilation rates 504 (compared to monoculture) at all ambient light levels, as in B. papyrifera; (2) decrease assimilation under 505 low ambient light, but increase it under high light, as in A. rubrum and Q. ellipsoidalis; or (3) increase 506 assimilation rates at nearly all ambient light levels, as in T. americana. Our finding that carbon gain in T. 507 americana increases under shade is reinforced by Carter and Cavaleri (2018), who find that its 508 photosynthetic rates may increase down vertical gradients from the upper canopy to the sub-canopy. 509 The untransformed light-response curves can help us identify the causes of these patterns. As a 510 function of leaf chamber PPFD—without penalizing for lowered light availability—three of our four 511 species (A. rubrum, Q. ellipsoidalis, and T. americana) had higher photosynthetic rates in the shaded 512 biculture and twelve-species treatments than in monoculture (Fig. 3, left). In all species except early- 513 successional B. papyrifera, dark-acclimated Fv/Fm declines with light availability. Because dark- 514 acclimated Fv/Fm correlates with Asat, this result suggests a role for photoinhibition in determining 515 photosynthetic rates. Because photoinhibition most often occurs through damage or regulation of PSII, it 516 is usually thought to depress photosynthesis by lowering ETR. However, both ETR and stomatal 517 conductance seem to reflect the patterns in photosynthesis across treatments in chamber light-response 518 curves (Fig. S3), suggesting that both have some role in explaining why most species showed lower 519 photosynthesis in monoculture. 520 521 Given that light availability fluctuates—diurnally, seasonally, and with cloud cover—the treatment that performs best may also vary from moment to moment. We produced a more integrated bioRxiv preprint doi: https://doi.org/10.1101/845701; this version posted November 18, 2019. The copyright holder for this preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under aCC-BY 4.0 International license. 522 picture by estimating total assimilation during the month of July, assuming that each tree’s photosynthetic 523 light-response curve remains constant (Fig. S4). While trees in shaded bicultures had lower estimated 524 assimilation than in monoculture in two of our focal species (B. papyrifera and A. rubrum), those in 525 twelve-species plots had similar assimilation compared to those in monoculture in all four species. It 526 seems plausible that the intermediate light environment in these twelve-species plots allowed trees to 527 avoid photoinhibition without becoming frequently light-limited. We caution that these measurements are 528 only based on top leaves, such that we cannot directly evaluate whole-plant carbon gain. 529 These estimates of assimilation during July cannot explain certain features in our stem biomass 530 data—including, for instance, the clearly positive effect of neighbor size on growth in T. americana. We 531 next discuss two kinds of phenomena that could contribute to variation in growth rates, but which 532 analyses based on light-response curves do not account for: Delayed senescence and microclimatic 533 effects. Both may contribute to potential positive effects of shading by neighbors. 534 T. americana in shade dropped their leaves nearly a month later into the fall compared to in 535 monoculture (Fig. 6). We also found accelerated senescence in full sun in A. rubrum. Given that most 536 leaves remained photosynthetically active until shortly before abscission (as in Mattila et al. 2018), shade 537 can allow plants a longer period of carbon gain. The pattern that the light environment affects senescence 538 timing admits at least two explanations: (1) that plants in the sun accumulate phenological cues for 539 senescence related to temperature, or (2) that excess light and other stresses cause damage that accelerates 540 senescence (Cavender-Bares et al. 2000), especially as the temperature declines, rendering leaves more 541 susceptible to photodamage (Juvany et al. 2013; Renner & Zohner 2019). Contrary to the first 542 explanation, air temperatures in full sun remained higher than in shaded plots. 543 Although we emphasize the role of light stress, other microclimatic factors could contribute to 544 variation in photosynthetic rates among treatments. Because we aimed to control the chamber 545 microclimate during light-response curves, we may have excluded some effects of the ambient 546 microclimate from our photosynthesis estimates. For example, midday leaf water potential tended to be 547 somewhat more negative in monoculture—perhaps due to greater VPD—which could make stomata close bioRxiv preprint doi: https://doi.org/10.1101/845701; this version posted November 18, 2019. The copyright holder for this preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under aCC-BY 4.0 International license. 548 more often (Fig. S6). On the other hand, pre-dawn leaf water potential was slightly more negative in 549 shaded bicultures, which may owe to lower soil moisture. Our water potential measurements show that 550 water stress was not very severe in any treatment, but even modest differences could affect stomatal 551 behavior (Brodribb et al. 2003). In addition, it seems plausible that greater light exposure may make leaf 552 temperature higher in monoculture (Schymanski et al. 2013), which could push leaves above thermal 553 optima for photosynthesis. In summary, we contend that shade has both costs and benefits. Being shaded reduces the light 554 555 available for photosynthesis, but it may also prevent chronic stress due to excess light, allowing the plant 556 to use the light it absorbs more efficiently. Both factors must be jointly considered to determine whether 557 shade benefits or harms a plant. 558 559 Interpreting patterns of stem growth The stem growth data are consistent with the hypothesis that larger neighbors can facilitate 560 561 growth in T. americana and A. negundo, the most shade-tolerant species. In light of the physiological 562 data, we interpret this pattern as a result of abiotic stress amelioration. Because we lacked measures of 563 root allocation, we cannot rule out the hypothesis that this trend is caused by a shade avoidance response 564 that increases allocation to shoots compared to roots (Schall et al. 2012). Nevertheless, the idea that much 565 of this effect is facilitative is supported both by the physiological data and by other studies that have 566 found that shade can increase total (root and shoot) biomass (e.g. Ryser & Eek 2000; Semchenko et al. 567 2012). 568 In the majority of species, including all four Quercus species and A. rubrum, larger neighbor size 569 caused focal individual size to be smaller, which we interpret as the result of net competitive interactions, 570 potentially both aboveground and belowground. The occurrence of belowground competition is suggested 571 by the fact that soil moisture was lowest in our dense-growing shaded biculture plots. B. papyrifera, a 572 shade-intolerant early-successional species whose leaves had lower photosynthetic rates in the shaded 573 biculture, had a neutral response to neighbor size, perhaps because its rapid height growth allowed it to bioRxiv preprint doi: https://doi.org/10.1101/845701; this version posted November 18, 2019. The copyright holder for this preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under aCC-BY 4.0 International license. 574 overtop neighbors rather than be overtopped. In contrast to all the other broadleaf species, its top leaves 575 suffered no reduction of light availability in shaded biculture, compared to monoculture. 576 577 578 Mechanisms of photoprotection Plants use multiple means to avoid damage from excess light, which can be classified broadly 579 into biochemical and structural strategies. Our results show that trees in full sun allocate more to pigment- 580 based methods of photoprotection, as shown by lower PRI, and higher qN in most species. The two most 581 shade-tolerant species—A. negundo and T. americana—do not show a greater capacity for non- 582 photochemical quenching when grown in full sun. Across a gradient of shade to sun, these species may 583 experience large increases in ϕNO, and may suffer from greater photodamage as a result, as supported by 584 patterns of dark-acclimated Fv/Fm. This result is consistent with other research that finds that shade- 585 adapted species often fail to develop strong photoprotective abilities in the sun (Montgomery et al. 2008). 586 Our survey of leaf angles is also consistent with the idea that plants may steeply incline their 587 leaves to avoid intercepting excess light—a form of structural photoprotection. Leaves that are steeply 588 inclined tend to intercept less light per unit area, particularly during midday, when solar radiation is 589 otherwise most intense. The dramatic trend we observe in leaf angles suggests that these species are able 590 to use gross structural characteristics to partially regulate their light absorption. 591 Plants—especially those that grow in the shade—may lack perfect photoprotective mechanisms 592 in part because they are costly. Building pigments and proteins for photoprotection uses nutrients that 593 could otherwise be allocated to chlorophyll, RuBisCO, or structural tissue components. Furthermore, 594 slow relaxation of NPQ may hinder photosynthesis even when periodic declines in light availability 595 remove the immediate threat of damage (Zhu et al. 2004; Murchie & Niyogi 2011; Kromdijk et al. 2016). 596 Steep leaf angles may also reduce carbon assimilation by reducing light interception even under low light. 597 However, plants in full sun may need these mechanisms to avoid even greater long-term costs caused by 598 photodamage. Our measurements of the mechanisms of photoprotection suggest that these species may bioRxiv preprint doi: https://doi.org/10.1101/845701; this version posted November 18, 2019. The copyright holder for this preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under aCC-BY 4.0 International license. 599 incur some risk of damage under high light, reinforcing our conclusions about the role of light stress in 600 shaping species interactions. 601 602 603 The case for facilitation An important result of our study is that shade from large neighbors increases both net 604 photosynthetic rates and stem growth rates in shade-tolerant species. This finding has precedents: Ball et 605 al. (1991) and Egerton et al. (2000) found that shade enhanced photosynthesis and growth of evergreen 606 Eucalyptus seedlings during the winter, when cold temperatures impose a risk of photoinhibition. Howell 607 et al. (2002) also found that the leafless outer branches of New Zealand’s divaricating shrubs reduce 608 photoinhibition by shading inner leaves. 609 Much of the work on facilitation in plant communities is guided by the stress-gradient hypothesis 610 (SGH), which proposes that facilitative interactions are more common in stressful environments (Bertness 611 & Callaway 1994; Maestre et al. 2009). We can understand photoinhibition in light of the SGH as 612 follows: Stressful conditions limit the use of light for photochemistry, causing high light exposure to 613 become a potential stressor. Under these conditions, shade from neighbors can ameliorate stress, causing 614 facilitation. Under benign conditions, where plants can use more of the available light for photochemistry, 615 high light exposure may not cause damage. Here, shading by neighbors can cause light limitation, 616 resulting in an adverse, competitive effect on growth. As we show here, species’ physiological traits also 617 influence whether they are stressed by their environment. 618 Ever since the SGH was first described, the role of facilitative interactions in structuring plant 619 communities has received more attention. For example, Bimler et al. (2018) suggest that models of 620 species occurrence will be more accurate when they incorporate positive interactions. Nevertheless, the 621 role of facilitation in structuring plant communities is still often overlooked (Wright et al. 2017), and its 622 mechanisms are seldom assessed by measuring physiological rates (but see, for example, Barron-Gafford 623 et al. 2017). 624 bioRxiv preprint doi: https://doi.org/10.1101/845701; this version posted November 18, 2019. The copyright holder for this preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under aCC-BY 4.0 International license. 625 Competition and facilitation in biodiversity-ecosystem function relationships 626 Overyielding—or biodiversity-enhanced growth—is a hallmark of positive biodiversity- 627 ecosystem function relationships. A whole community can only overyield if at least one of its constituent 628 species overyields. Although we show how species growth changes with neighbor size, not neighbor 629 diversity, our results show that shading allows some species to achieve greater biomass in shaded 630 bicultures or twelve-species plots. In the same experiment, Grossman et al. (2017) found that T. 631 americana has the greatest overyielding in multi-species plots of any broadleaf species, especially when 632 growing with conifers or B. papyrifera. Grossman et al. (2017) further showed that conifer partners in 633 these species combinations also grow faster than in monoculture, resulting in community overyielding. 634 In general, the species that faced the strongest negative effects from shade had physiological 635 tolerance to high light and experienced shading as a form of competition. On the other hand, species that 636 were facilitated by shade had low tolerance to excess light and likely benefited from the milder 637 microclimate their neighbors created. We can place these findings in the context of the three classes of 638 facilitative mechanisms distinguished by Wright et al. (2017): 639 640 641 642 643 644 1. Biotic facilitation, which is mediated by the activity of higher-order trophic interactions, such as promotion of shared mutualists or dilution of natural enemy loads; 2. Abiotic facilitation through resource enrichment, in which some species increase resource availability for others; and, 3. Abiotic facilitation through stress amelioration, in which some species create a favorable microclimate for others. 645 In the FAB experiment, enemy-mediated biotic facilitation is likely to have a limited role; Grossman et al. 646 (2018) found that diversity had a mild influence on damage by herbivores and pathogens, and the 647 direction of the relationship varied among tree species and herbivore guilds. Nutrient enrichment is 648 unlikely to be a major mechanism for facilitation here because, although nitrogen is the main limiting 649 mineral nutrient at Cedar Creek (Tilman 1987), none of the planted tree species associates with nitrogen- 650 fixing microbes. As a result, stress amelioration is likely to be the main class of facilitation in this bioRxiv preprint doi: https://doi.org/10.1101/845701; this version posted November 18, 2019. The copyright holder for this preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under aCC-BY 4.0 International license. 651 experiment, perhaps acting in concert with niche partitioning and (to a limited extent) selection effects to 652 drive overyielding. 653 In much of the literature on biodiversity and ecosystem function, the attempt to parse out 654 explanations—such as niche partitioning and facilitation—often depends on ever-finer statistical 655 partitions of biomass data (Loreau & Hector 2001; Fox & Kerr 2012), whose interpretation is often 656 contested (Carroll et al. 2011; Pillai et al. 2019). Because the processes that drive biomass accumulation 657 are ultimately physiological, physiological measurements can guide a mechanistic interpretation of 658 biomass patterns. These techniques can help us determine what specific kinds of plant-plant and plant- 659 environment interactions produce biodiversity-productivity relationships, and how these interactions 660 emerge from basic aspects of plant function. 661 In this study, the survey-based biomass data and the physiological measurements generally 662 converge in showing that certain species respond positively to the size of their neighbors, while others 663 respond negatively. However, the physiological measurements allow us to reach a deeper level of 664 explanation, showing how these interactions emerge in part from the photosynthetic responses of trees to 665 the light environment created by their neighbors. Thus, we demonstrate that community ecology can 666 benefit by incorporating mechanistic approaches from physiology. 667 668 669 670 671 672 673 674 675 676 bioRxiv preprint doi: https://doi.org/10.1101/845701; this version posted November 18, 2019. The copyright holder for this preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under aCC-BY 4.0 International license. 677 Acknowledgements 678 We acknowledge that University of Minnesota, including Cedar Creek ESR, lies on the ancestral, 679 traditional, and contemporary Land of the Dakota. This research was inspired in large part by 680 conversations with Jake Grossman and Laura Williams. Beth Fallon, German Vargas G., Artur Stefanski, 681 Daniel Stanton, and Danielle Way all gave valuable advice about measuring photosynthesis. Cathleen 682 Nguyen and Chris Buyarski provided tremendous logistical support for data collection in FAB; Troy 683 Mielke, Kally Worm, Jim Krueger, Pam Barnes, Mark Saxhaug, Dan Bahauddin, and others supported 684 other crucial aspects of Cedar Creek infrastructure. Many Cedar Creek interns helped in the stem volume 685 survey. Sarah Hobbie and Peter Reich contributed to the design of the FAB experiment. The Cavender- 686 Bares lab (especially Gerard Sapès), Daniel Stanton, German Vargas G., Artur Stefanski, Jamie Mosel, 687 José Lopez, and David Kramer all provided feedback on the results or manuscript. The FAB experiment 688 is maintained with support from National Science Foundation under DEB #1234162 to Cedar Creek 689 LTER. Spectral measurements were conducted as part of NSF/NASA DEB #1342778 to J.C.B. and R.M.. 690 S.K. has been supported by an NSF Graduate Research Fellowship (Grant No. 00039202) and a UMN 691 Doctoral Dissertation Fellowship. R.M. is also supported by Minnesota Agricultural Experiment Station 692 project MIN-42-060. 693 694 695 696 697 698 699 700 701 702 bioRxiv preprint doi: https://doi.org/10.1101/845701; this version posted November 18, 2019. 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The copyright holder for this preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under aCC-BY 4.0 International license. 957 Tables 958 Table 1: Characteristics of species in FAB. Except for B. papyrifera, broadleaf species tended to grow 959 slower than needleleaf conifers. Shade tolerance is drawn from Niinemets and Valladares (2006), who 960 evaluated it along a 1-5 scale where higher values indicate an ability to grow under lower light. 961 962 963 964 965 966 967 968 Scientific name Species code Common name Family Leaf form Acer negundo Acer rubrum Betula papyrifera Juniperus virginiana Pinus banksiana Pinus resinosa Pinus strobus Quercus alba Quercus ellipsoidalis Quercus macrocarpa Quercus rubra Tilia americana ACNE Box elder Sapindaceae ACRU PIBA Red maple Paper birch Eastern redcedar Jack pine PIRE PIST BEPA JUVI QUAL QUEL QUMA QURU TIAM Broadleaf Mean RGR in monoculture, 2013-6 (/year) 0.039 Shade tolerance Partner in shaded biculture 3.47 None Sapindaceae Broadleaf 0.379 3.44 Betulaceae Broadleaf 1.272 1.54 Cupressaceae Needleleaf 0.975 1.28 Pinus banksiana Pinus banksiana NA Pinaceae Needleleaf 2.288 1.36 NA Red pine Pinaceae Needleleaf 1.619 1.89 NA White pine White oak Pinaceae Needleleaf 1.722 3.21 NA Fagaceae Broadleaf 0.735 2.85 Northern pin oak Bur oak Fagaceae Broadleaf 0.722 NA Fagaceae Broadleaf 0.547 2.71 Northern red oak American basswood Fagaceae Broadleaf 0.505 2.75 Tiliaceae Broadleaf 0.724 3.98 Pinus strobus Pinus strobus Betula papyrifera Pinus strobus Pinus strobus bioRxiv preprint doi: https://doi.org/10.1101/845701; this version posted November 18, 2019. The copyright holder for this preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under aCC-BY 4.0 International license. 969 Figure captions 970 Fig. 1: (A) Consider two hypothetical photosynthetic light-response curves of unstressed (blue) and 971 photoinhibited (red) plants, where the unstressed plant’s neighbors reduce the amount of light it absorbs. 972 Given a light-response curve, an instantaneous reduction in light tends to reduce photosynthetic rates 973 (represented by the small black arrow along the red curve). However, if a long-term reduction in light 974 spares the plant from chronic photoinhibition, it can alter the parameters of the curve such that carbon 975 assimilation at any given instantaneous light level is greater (represented by the small black vertical 976 arrow). The balance (represented by the large dashed arrow) may either increase or reduce net carbon 977 assimilation. 978 (B) To allow us to compare photosynthetic rates visually, we can put the two light-response curves on a 979 common x-axis that represents light arriving at the top of the canopy. To do this, we need to scale the blue 980 light response curve horizontally to account for the fact that when the stressed plant receives the amount 981 of light corresponding to the red dashed line in (A), the unstressed plant receives a proportionally lower 982 amount, here represented by the blue dashed line. By stretching the blue curve proportionally such that 983 these two lines coincide, we can compare the true estimated photosynthetic rates at a given light 984 availability. 985 986 Fig. 2: Relative growth rate (RGR) of woody stem volume in individuals of each species between fall 987 2016 and 2018 as a function of the total stem volume of all neighbors. Gray dots represent individuals, 988 and the regression line is fit through the individual-level data. Large colored dots are aggregated to the 989 plot scale, as described in the main text, and color-coded by treatment. A shaded biculture is a plot in 990 which the focal broadleaf species grows with either a conifer or B. papyrifera (unless B. papyrifera is the 991 focal broadleaf species). An open biculture is a plot in which the focal broadleaf grows with another 992 broadleaf species (other than B. papyrifera). 993 bioRxiv preprint doi: https://doi.org/10.1101/845701; this version posted November 18, 2019. The copyright holder for this preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under aCC-BY 4.0 International license. 994 Fig. 3: Mass-based photosynthetic light-response curves for four broadleaf species. The left panels 995 display photosynthetic rates as a function of chamber light intensity; the right panels represent an estimate 996 of realized photosynthetic rates as a function of light intensity at the top of the canopy, after accounting 997 for light interception by neighbors (as in Fig. 1B). Species are arranged from the least shade-tolerant (B. 998 papyrifera) to the most (T. americana). Error bars in left panels are ± 1 SE. 999 1000 Fig. 4: Dark-acclimated Fv/Fm, qN, ϕNO, and PRI as a function of relative light availability across species 1001 and treatments. 1002 1003 Fig. 5: Compared to shade-intolerant species, shade-tolerant species show greater declines in dark- 1004 acclimated Fv/Fm and smaller increases in qN as light availability increases. Asat derived from light- 1005 response curves correlates positively and strongly with dark-acclimated Fv/Fm; slopes are statistically 1006 indistinguishable among species. 1007 1008 Fig. 6: Timing of fall leaf abscission in monoculture and shaded biculture treatments of T. americana. 1009 1010 Fig. 7: Top leaf angles of A. rubrum (left), Q. ellipsoidalis (middle), and T. americana (right) across 1011 treatments. 1012 1013 Fig. S1: Example images of Tilia americana in shaded biculture (top) and monoculture (bottom). Red 1014 scale bars represent about 1 m in the foreground. 1015 1016 Fig. S2: Growth of woody stem volume in individuals of each species between fall 2017 and 2018 as a 1017 function of the total stem volume of all neighbors. Gray dots represent individuals, while colored dots are 1018 aggregated to the plot scale and color-coded by treatment. Two regression lines are fit: One (blue) to all 1019 data, and one (red) excluding trees that died between 2017 and 2018. bioRxiv preprint doi: https://doi.org/10.1101/845701; this version posted November 18, 2019. The copyright holder for this preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under aCC-BY 4.0 International license. 1020 1021 Fig. S3: Responses of ETR and stomatal conductance to light availability for the four focal broadleaf 1022 species. Error bars are ± 1 SE. 1023 1024 Fig. S4: An estimate of total carbon assimilation across species and treatments throughout the month of 1025 July, calculated by applying a time series of solar radiation from a nearby weather station as inputs to our 1026 ambient light-response curves. 1027 1028 Fig. S5: A ternary plot depicting variation among species and treatments in ϕPSII, ϕNPQ, and ϕNO, as 1029 calculated using the lake model derivations of Kramer et al. (2004). These three quantities describe light 1030 energy dissipation through photochemistry, through non-photochemical quenching, and through non- 1031 regulated dissipation, respectively. A thick dashed line represents 0.83 the theoretical maximum 1032 efficiency of PSII posited in Tietz et al. (2017). Deviations from this line represent increasingly high ϕNO, 1033 which can result in photodamage. 1034 1035 1036 1037 1038 1039 1040 1041 1042 1043 1044 1045 Fig. S6: Water potential before dawn (top) and at midday (bottom) among species and treatments. bioRxiv preprint doi: https://doi.org/10.1101/845701; this version posted November 18, 2019. The copyright holder for this preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under aCC-BY 4.0 International license. 1046 1047 1048 1049 1050 1051 1052 1053 1054 1055 1056 1057 1058 1059 1060 1061 1062 1063 1064 1065 1066 1067 1068 1069 1070 1071 1072 1073 1074 1075 1076 1077 1078 1079 1080 1081 1082 1083 1084 Figures Fig. 1 bioRxiv preprint doi: https://doi.org/10.1101/845701; this version posted November 18, 2019. The copyright holder for this preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under aCC-BY 4.0 International license. 1085 1086 Fig. 2 bioRxiv preprint doi: https://doi.org/10.1101/845701; this version posted November 18, 2019. The copyright holder for this preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under aCC-BY 4.0 International license. 1087 1088 Fig. 3 bioRxiv preprint doi: https://doi.org/10.1101/845701; this version posted November 18, 2019. The copyright holder for this preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under aCC-BY 4.0 International license. 1089 1090 1091 1092 1093 1094 1095 1096 1097 1098 1099 1100 1101 1102 1103 1104 1105 1106 1107 1108 Fig. 4 bioRxiv preprint doi: https://doi.org/10.1101/845701; this version posted November 18, 2019. The copyright holder for this preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under aCC-BY 4.0 International license. 1109 1110 1111 1112 1113 1114 1115 1116 1117 1118 1119 Fig. 5 bioRxiv preprint doi: https://doi.org/10.1101/845701; this version posted November 18, 2019. The copyright holder for this preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under aCC-BY 4.0 International license. 1120 Fig. 6 1121 1122 1123 Fig. 7 1124 1125 1126 1127 1128 1129 bioRxiv preprint doi: https://doi.org/10.1101/845701; this version posted November 18, 2019. The copyright holder for this preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under aCC-BY 4.0 International license. 1130 Supplement to: “Throwing shade: Physiological responses to light mediate competition and 1131 facilitation in a tree diversity experiment” 1132 1133 Materials and Methods 1134 Photosynthetic light-response curve methods 1135 We measured photosynthetic-light response curves from the four focal species (Acer negundo, 1136 Betula papyrifera, Quercus ellipsoidalis, and Tilia americana) during July 2018 using an LI-6400 gas 1137 exchange system (LI-COR BioSciences, Lincoln, NE) with a 6400-40 Leaf Chamber Fluorometer head. 1138 From each tree (n = 72 total), we selected a fully expanded, sun-exposed leaf with no visible sign of 1139 disease or herbivory. We noted the angle of each leaf relative to horizontal to the nearest 15˚ before 1140 beginning measurements. Each curve had nine steps in descending order of brightness: 2000, 1500, 1000, 1141 500, 200, 100, 50, 20, and 0 µmol m-2 s -1. 1142 During each curve, we controlled environmental conditions to reduce the immediate effects of 1143 environmental conditions, other than light, on stomatal conductance. We maintained relative humidity at a 1144 favorable level, typically between 65 and 75%, and kept block temperature as close as possible to 25 ˚C. 1145 The reference CO2 concentration remained at 400±10 ppm. We kept each leaf in the chamber for at least 1146 five minutes before beginning each curve. We checked that outputs were stable and matched IRGAs 1147 before each measurement. 1148 While we sought to control environmental conditions in the chamber, any remaining differences 1149 among treatments could, in theory, contribute to the differences we observe in photosynthetic function. 1150 During light-response curves, we found no difference among treatments in leaf-to-air VPD within the 1151 chamber. There were significant but slight differences in leaf temperature inside the chamber; leaves in 1152 monoculture, shaded biculture, and twelve-species plots had average temperatures of 27.7 ˚C, 26.5 ˚C, 1153 and 27.0 ˚C, respectively. Previous studies on some of the same species in Minnesota have typically 1154 found thermal optima below 26 ˚C (Sendall et al. 2015). However, while cooler leaves may be closer to bioRxiv preprint doi: https://doi.org/10.1101/845701; this version posted November 18, 2019. The copyright holder for this preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under aCC-BY 4.0 International license. 1155 thermal optima, the small differences in temperature we observed seem unlikely to explain much of the 1156 observed variation in photosynthetic rates within the leaf chamber. 1157 In all but five light-response curves, we also used a saturating pulse to measure light-acclimated 1158 chlorophyll fluorescence at each light level. These data allowed us to calculate ϕPSII, a measure of the 1159 efficiency of Photosystem II (PSII) at each actinic light level, as: 𝜙𝑃𝑆𝐼𝐼 = 1160 𝐹𝑚′ − 𝐹𝑠 𝐹𝑚′ 1161 where Fs is the steady-state fluorescence yield under actinic light, and Fm’ is the maximum fluorescence 1162 yield of the actinic light-acclimated sample following a saturating light pulse, which temporarily closes 1163 all PSII reaction centers. From this parameter, we could calculate electron transport rate as: 1164 𝐸𝑇𝑅 = 𝜙𝑃𝑆𝐼𝐼 × 𝑃𝑃𝐹𝐷 × 0.42 × 0.5 1165 where PPFD is photosynthetic photon flux density (the light level inside the chamber, in µmol m-2 s -1), 1166 0.42 is an estimate of leaf absorptance, and 0.5 is an estimate of the fraction of photons that are captured 1167 by PSII rather than PSI. Electron transport rate is a key parameter because electron transport is one of the 1168 main steps that is capable of limiting photosynthesis (Farquhar et al. 1980), especially when light 1169 availability or PSII efficiency are low. 1170 1171 1172 Chlorophyll fluorescence procedure As described in the main text, we used dark- and light-acclimated measurements of chlorophyll 1173 fluorescence to calculate several derived parameters, from which we make inferences about 1174 photosynthetic and photoprotective function. Most importantly, we wanted to assess: (1) capacity for non- 1175 photochemical quenching, as measured through the parameters qN or NPQ; and (2) the partitioning of 1176 light energy among different processes, as assessed using the quantum yields ϕPSII, ϕNPQ, and ϕNO. 1177 These derived chlorophyll fluorescence parameters are calculated from a few basic measurements 1178 taken during the dark- and light-acclimated measurements, including: Fo, the minimum fluorescence yield 1179 of a dark-acclimated sample with all PSII reaction centers open; Fo’, the minimum fluorescence yield of a bioRxiv preprint doi: https://doi.org/10.1101/845701; this version posted November 18, 2019. The copyright holder for this preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under aCC-BY 4.0 International license. 1180 light-acclimated sample with all PSII reaction centers open (following far-red light exposure); and Fm, the 1181 maximum fluorescence yield of a dark-acclimated sample following a saturating pulse. Fv, the variable 1182 fluorescence yield of a dark-acclimated sample, is calculated as Fm – Fo. 1183 The parameters qN and NPQ are meant to indicate the rate constant of the thermal dissipation of 1184 energy from PSII (Bilger and Schreiber 1986; Bilger and Björkman 1990). These parameters increase 1185 with the use of NPQ to dissipate light—in this case, under exposure to 1000 µmol m-2 s -1. They are 1186 calculated, respectively, as: 𝑞𝑁 = 1 − 1187 𝐹𝑚′ − 𝐹𝑜′ 𝐹𝑚 − 𝐹𝑚′ ; 𝑁𝑃𝑄 = 𝐹𝑚 − 𝐹𝑜 𝐹𝑚′ 1188 In our dataset, qN is highly correlated (R2 = 0.96) with the natural logarithm of NPQ; we chose to report 1189 qN to easily visualize variation among leaves with low NPQ and to help satisfy the error term normality 1190 assumption of OLS regression. 1191 The quantum yields ϕPSII, ϕNPQ, and ϕNO represent the proportions of absorbed light energy that are 1192 dissipated through photochemical processes, non-photochemical quenching, and non-regulated 1193 dissipation, respectively. As proportions, these quantum yields sum to 1. We calculated these parameters 1194 following the “lake model” derivation of Kramer et al. (2004), which treats photosynthetic reaction 1195 centers as connected by shared antennae. We achieve qualitatively similar results using the simpler 1196 analogues found in Hendricksen et al. (2005). 1197 The parameter ϕPSII is as calculated above (Supplemental Methods, Photosynthetic light-response 1198 curve procedure). In the derivation from Kramer et al. (2004), ϕNPQ and ϕNO are calculated using the 1199 parameter qL, an estimate of the fraction of open PSII reaction centers. qL is calculated as: 𝑞𝐿 = 1200 1201 1202 Given this parameter, we can calculate ϕNO as: 𝜙𝑁𝑂 = 𝐹𝑚′ − 𝐹𝑠 𝐹𝑜′ 𝐹𝑚′ − 𝐹𝑜′ 𝐹𝑠 1 𝐹 𝑁𝑃𝑄 + 1 + 𝑞𝐿 ( 𝐹𝑚 − 1) 𝑜 bioRxiv preprint doi: https://doi.org/10.1101/845701; this version posted November 18, 2019. The copyright holder for this preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under aCC-BY 4.0 International license. 1203 and given the other two quantum yields, we can calculate ϕNPQ as: 1204 𝜙𝑁𝑃𝑄 = 1 − 𝜙𝑃𝑆𝐼𝐼 − 𝜙𝑁𝑂 1205 Many researchers, including Murchie and Lawson (2013) and Tietz et al. (2017) treat ~0.83 as a 1206 theoretical maximum of ϕPSII or dark-acclimated Fv/Fm after a period of dark-acclimation long enough to 1207 reduce non-photochemical quenching to zero. Similarly, one may treat ~0.83 as a theoretical maximum of 1208 ϕPSII + ϕNPQ, deviations from which indicate high ϕNO, and thus, a declining ability to dissipate light 1209 energy in a regulated way. We indicate this putative maximum in our ternary plot of the quantum yields 1210 (Fig. S5). 1211 1212 1213 1214 1215 1216 1217 1218 1219 1220 1221 1222 1223 1224 1225 1226 1227 1228 1229 1230 1231 1232 1233 1234 1235 1236 1237 1238 1239 1240 1241 1242 1243 1244 References Bilger W, Björkman O. Role of the xanthophyll cycle in photoprotection elucidated by measurements of light-induced absorbance changes, fluorescence and photosynthesis in leaves of Hedera canariensis. Photosynthesis Research 25, 173–185 (1990). Bilger W, Schreiber U. Energy-dependent quenching of dark-level chlorophyll fluorescence in intact leaves. Photosynthesis Research 10, 303–308 (1986). Farquhar GD, von Caemmerer S, Berry JA. A biochemical model of photosynthetic CO2 assimilation in leaves of C 3 species. Planta 149, 78–90 (1980). Hendrickson L, Förster B, Pogson BJ, Chow WS. A simple chlorophyll fluorescence parameter that correlates with the rate coefficient of photoinactivation of Photosystem II. Photosynthesis Research 84, 43–49 (2005). Kramer DM, Johnson G, Kiirats O, Edwards GE. New Fluorescence Parameters for the Determination of QA Redox State and Excitation Energy Fluxes. Photosynthesis Research 79, 209–218 (2004). Murchie EH, Lawson T. Chlorophyll fluorescence analysis: a guide to good practice and understanding some new applications. Journal of Experimental Botany 64, 3983–3998 (2013). Sendall, KM, Reich PB, Zhao C, Jihua H, Wei X, Stefanski A, Rice K, Rich RL, Montgomery RA. Acclimation of photosynthetic temperature optima of temperate and boreal tree species in response to experimental forest warming. Global Change Biology 21, 1342–1357 (2015). Tietz S, Hall CC, Cruz, JA, Kramer DM. NPQ(T): a chlorophyll fluorescence parameter for rapid estimation and imaging of non-photochemical quenching of excitons in photosystem-II-associated antenna complexes. Plant, Cell & Environment 40, 1243–1255 (2017). bioRxiv preprint doi: https://doi.org/10.1101/845701; this version posted November 18, 2019. The copyright holder for this preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under aCC-BY 4.0 International license. 1245 1246 1247 1248 1249 1250 1251 1252 1253 1254 1255 1256 1257 1258 Fig. S1 bioRxiv preprint doi: https://doi.org/10.1101/845701; this version posted November 18, 2019. The copyright holder for this preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under aCC-BY 4.0 International license. 1259 1260 Fig. S2 bioRxiv preprint doi: https://doi.org/10.1101/845701; this version posted November 18, 2019. The copyright holder for this preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under aCC-BY 4.0 International license. 1261 1262 Fig. S3 bioRxiv preprint doi: https://doi.org/10.1101/845701; this version posted November 18, 2019. The copyright holder for this preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under aCC-BY 4.0 International license. 1263 Fig. S4 1264 1265 Fig. S5 1266 1267 bioRxiv preprint doi: https://doi.org/10.1101/845701; this version posted November 18, 2019. The copyright holder for this preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under aCC-BY 4.0 International license. 1268 1269 Fig. S6