Trade-offs between carbon stocks and biodiversity in European temperate forests
Abstract
Policies to mitigate climate change and biodiversity loss often assume that protecting carbon-rich forests provides co-benefits in terms of biodiversity, due to the spatial congruence of carbon stocks and biodiversity at biogeographic scales. However, it remains unclear whether this holds at the scales relevant for management, and particularly large knowledge gaps exist for temperate forests and for taxa other than trees. We built a comprehensive dataset of Central European temperate forest structure and multi-taxonomic diversity (beetles, birds, bryophytes, fungi, lichens, and plants) across 352 plots. We used Boosted Regression Trees (BRTs) to assess the relationship between above-ground live carbon stocks and (a) taxon-specific richness, (b) a unified multidiversity index. We used Threshold Indicator Taxa ANalysis to explore individual species’ responses to changing above-ground carbon stocks and to detect change-points in species composition along the carbon-stock gradient. Our results reveal an overall weak and highly variable relationship between richness and carbon stock at the stand scale, both for individual taxonomic groups and for multidiversity. Similarly, the proportion of win-win and trade-off species (i.e., species favored or disadvantaged by increasing carbon stock, respectively) varied substantially across taxa. Win-win species gradually replaced trade-off species with increasing carbon, without clear thresholds along the above-ground carbon gradient, suggesting that community-level surrogates (e.g., richness) might fail to detect critical changes in biodiversity. Collectively, our analyses highlight that leveraging co-benefits between carbon and biodiversity in temperate forest may require stand-scale management that prioritizes either biodiversity or carbon in order to maximize co-benefits at broader scales. Importantly, this contrasts with tropical forests, where climate and biodiversity objectives can be integrated at the stand scale, thus highlighting the need for context-specificity when managing for multiple objectives. Accounting for critical change-points of target taxa can help to deal with this specificity, by defining a safe operating space to manipulate carbon while avoiding biodiversity losses.
1 INTRODUCTION
Forests play a critical role in mitigating climate change, in addition to providing many ecosystem services fundamental to human society (FAO, 2015; MEA, 2005). The estimated amount of carbon stored in forests globally is almost 900 Pg (=1015 g), with a net global carbon sink of 1.1 Pg C per year (Pan et al., 2011). Forests also provide habitat for over half of all known terrestrial plant and animal species (MEA, 2005), albeit covering only 27% of the Earth's land area (FAO, 2015). Conserving forests and managing them sustainably is therefore fundamental for facing two of the most pressing societal challenges of our times: biodiversity loss and climate change (MEA, 2005).
Global and regional environmental policies, such as the 2015 Paris Agreement, the REDD+ (Reducing Emissions from Deforestation and forest Degradation) initiative (Gardner et al., 2012) or the European Forest Strategy (European Commission, 2013), all acknowledge the critical importance of forests for jointly addressing biodiversity conservation and climate change mitigation (Bustamante et al., 2016; Deere et al., 2018; Ferreira et al., 2018). The extent to which these two targets can be reached synergistically, however, is not properly understood (Di Marco, Watson, Currie, Possingham, & Venter, 2018; Mori, Lertzman, & Gustafsson, 2017; Pichancourt, Firn, Chadès, & Martin, 2014). If high biodiversity and carbon stocks coincide spatially, then protecting carbon-dense forests or managing forests for high carbon stocks would co-benefit both environmental policy goals (Di Marco et al., 2018; Reside, VanDerWal, & Moran, 2017; Strassburg et al., 2010). Otherwise, this may lead to negative biodiversity outcomes (Boysen, Lucht, & Gerten, 2017; Bustamante et al., 2016; Ferreira et al., 2018). For instance, protecting a carbon-dense forest may reallocate human pressure to unprotected areas with lower carbon density, but high biodiversity (Di Marco et al., 2018). Also, shifting from natural vegetation to tree plantations to maximize carbon stock leads to biodiversity loss (Pichancourt et al., 2014), especially where natural grasslands or savannahs are afforested (Bremer & Farley, 2010; Burrascano et al., 2016; Pellegrini, Socolar, Elsen, & Giam, 2016). Finally, it remains unclear at which spatial scales co-benefits between conservation and climate change mitigation should be sought. More than grain (i.e., spatial resolution), extent (i.e., area covered) is in this context particularly relevant. Should carbon storage and conservation goals be integrated at the extent of individual stands (i.e., individual silvicultural units where management takes place), or at broader scales (e.g., entire landscapes or ecoregions)? Should co-benefits be achieved by managing individual stands to maximize both objectives, or by segregating stands dedicated to biodiversity from those dedicated to carbon storage within a landscape? Understanding the relationship between carbon stocks and biodiversity, and how it varies across spatial scales, is crucial to answer these questions (Gardner et al., 2012; Mori et al., 2017; Reside et al., 2017).
At the extent of an individual forest stand, carbon stock is the amount of long-term carbon stored in living biomass, dead organic matter and soil carbon pools, and is the result of the complex relationships between forest productivity, disturbance history, and species composition (FAO, 2015). Compared to other important forest carbon pools, above-ground live carbon stored in wood (hereafter above-ground live carbon) can be quantified relatively easily, and is therefore considered a sustainable forest management indicator (CBD, 2006; FOREST EUROPE, 2015). Even if living and dead wood constitute the substrate for many forest species (Hatanaka, Wright, Loyn, & Mac Nally, 2011; Lassauce, Paillet, Jactel, & Bouget, 2011; Stokland, Siitonen, & Jonsson, 2012), the carbon contained in these forest features is only indirectly related to biodiversity (Hatanaka et al., 2011). Typically based on coarse-grained data, recent evidence supports a positive correlation between above-ground live carbon and biodiversity at broader extents (Di Marco et al., 2018; Lecina-Diaz et al., 2018; Strassburg et al., 2010). The shape of the carbon-biodiversity relationship, however, remains unclear for smaller extents such as individual landscapes or stands (Ferreira et al., 2018; Pichancourt et al., 2014). Yet, these extents are the most relevant for decision-makers (Deere et al., 2018).
Large uncertainties also remain on how this relationship varies across biogeographical regions (Di Marco et al., 2018; Lecina-Diaz et al., 2018; Potter & Woodall, 2014; Xian et al., 2015). For the tropics, there is evidence for a positive relationship between biodiversity and above-ground live carbon stocks, both across stands (Cavanaugh et al., 2014; Deere et al., 2018; Magnago et al., 2015), and within stands (Sullivan et al., 2017), especially for disturbed sites (Ferreira et al., 2018). In temperate forests, research has traditionally focused on carbon sequestration and productivity (Huang et al., 2018; Ratcliffe et al., 2017). Although recent work highlighted the importance of carbon quality, or complexity, for bird biodiversity (Hatanaka et al., 2011; Lecina-Diaz et al., 2018), studies relating carbon quantity to biodiversity remain rare and mostly refer to tree diversity only (Potter & Woodall, 2014; Xian et al., 2015).
The carbon–biodiversity relationship may also vary across taxonomic groups (Di Marco et al., 2018; Ferreira et al., 2018; Lecina-Diaz et al., 2018). Even in the tropics, most research to date has focused on either vertebrates (Beaudrot et al., 2016; Deere et al., 2018; Sollmann et al., 2017), or tree species richness only (Cavanaugh et al., 2014; Magnago et al., 2015; Sullivan et al., 2017), while research comparing the fine-scale carbon–biodiversity relationship across groups of organisms remains rare (Ferreira et al., 2018). This is understandable, given the inherent costs of collecting field-based data for multiple taxonomic groups (Bustamante et al., 2016). Focusing on trees or vertebrates, however, assumes that these taxa are good surrogates for overall forest biodiversity (Lecina-Diaz et al., 2018), while recent evidence suggests that this is not generally true (Larrieu et al., 2018; Sabatini et al., 2016; Zilliox & Gosselin, 2014). Moreover, even within the same taxonomic group, different species may relate very differently to carbon stocks (Edwards et al., 2014; Lindenmayer, Fischer, & Cunningham, 2005; Villard & Jonsson, 2009). Some species may benefit from increasing carbon stocks (hereinafter called “win-win species”), while others, (hereinafter called “trade-off species”) may be hindered by the environmental conditions associated with carbon-dense forests (Ferreira et al., 2018). Splitting the community into win-win and trade-off species, and considering explicitly the behavior of species of conservation concern, could thus help to better predict the effect of changing carbon stock on specific components of biodiversity (Magnago et al., 2015; Sollmann et al., 2017).
Finally, although the carbon–biodiversity relationship is often assumed to be linear (Beaudrot et al., 2016; Deere et al., 2018; Sullivan et al., 2017), thresholds could exist along the carbon stock gradient, meaning that a slight change in forest carbon stocks could cause disproportionate biodiversity loss (Evans et al., 2017; Sasaki, Furukawa, Iwasaki, Seto, & Mori, 2015). Such thresholds have been identified for a range of anthropogenic gradients (Li, Xu, Zheng, Taube, & Bai, 2017; Magnago et al., 2015; Sasaki et al., 2015), including carbon stocks in tropical forests (Ferreira et al., 2018). For temperate forests, however, empirical evidence is lacking (Evans et al., 2017), especially at the stand scale (Sasaki et al., 2015). Identifying such thresholds, and understanding how they vary across taxa and forest types, would provide important information on how forest management, including timber harvesting, might impact biodiversity. This would help to identify “safe operating spaces” for manipulating forest carbon in managed forests without triggering undesired biodiversity loss (Villard & Jonsson, 2009).
- What is the relationship between above-ground live carbon stocks and (a) species richness of different taxa, and (b) a single, unified multidiversity index?
- How do responses to increasing above-ground live carbon of individual species, and the proportion of win-win and trade-off species, vary across taxonomic groups and forest types?
- Are there community-level thresholds in species richness or composition along carbon stock gradients?
2 MATERIALS AND METHODS
2.1 Study sites
Our study area included a network of 352 plots in 22 temperate forest sites (ranging from 200 to 400 km2), sampled in six different projects (Burrascano et al., 2018), and covering a wide latitudinal and longitudinal range across Europe (Figure 1, Supporting Information Table S1). The sites covered deciduous forest types that are common in temperate Europe, including acidophilous oak and oak-birch forests (20 plots), mesophytic deciduous forests (84 plots), European beech (Fagus sylvatica) and montane beech forests (232 plots in total), as well as thermophilous deciduous forests (16 plots). Forest type nomenclature follows EEA (2006). Although our dataset cannot be considered representative of the overall variability of these forest types, it covers a wide range of structural types (one-, two- and multi-layered stands), ages, management histories, and management regimes, including coppice, shelterwood, group selection and unmanaged stands, comprising late-successional phases of the forest succession gradient. Stands in the Hungarian dataset represent a gradient in tree species composition, from oak- to beech-dominated forest, but all sharing similar age (mature, between 70–120 year), and mesic conditions. The datasets in the Italian and French Alps contrast pairs of managed and unmanaged stands in similar growing conditions, as well as ancient and recent forests (i.e., resulting from afforestation of previous pastures and meadows). Forest stands in the Cilento National Park were selected as a representative subset of the most common forest types in the park area, while those in the Gran Sasso National Park spanned across a range of structural types but all belonged to beech-dominated forest types prioritized for conservation. We report summary statistics of the main structural characteristics for each forest site in Supporting Information Table S2 and show the distribution of silvicultural systems across sites in Supporting Information Figure S1.

Elevation ranged from 150 to 1,700 m a.s.l. and substrates included sedimentary rocks (limestones, dolomites, marls, and flysch) in the French and Italian sites, and alluvial gravel mixed with sand and loess in the Hungarian site. All sites belonged to the temperate region: annual mean temperature varied from 5°C in the French Alps to 14°C in southern Italy. Annual precipitation varied from about 600 mm to about 1,900 mm.
2.2 Sampling and measuring biodiversity
Multi-taxonomic data were collected in six different projects (Burrascano et al., 2018) using comparable, but not identical sampling protocols (Supporting Information Table S3 for details). All vascular plant species were recorded in plots ranging from 314 to 1,256 m2. Bryophytes were sampled on different substrates (standing trees, deadwood, rocks, and ground) while only epiphytic lichens and wood-inhabiting fungi were considered. Birds were sampled using point-counts or area search techniques. Saproxylic beetles were sampled using window-flight interception traps, emerging traps, and Winkler extractors. Only presence–absence data were available for birds, bryophytes, fungi, and lichens, while abundance data were available for plants (percentage cover) and beetles (number of trapped individuals). Not all six taxonomic groups were sampled in every plot, returning a total of 1,533 (=taxonomic group × plot) combinations. We fixed nomenclature inconsistencies in the species lists based on up-to-date checklists (Supporting Information Table S3). We derived the association of species to forest or open habitat for 802 out of 1,102 (72%) species of birds, bryophytes, lichens, and plants from IUCN (2018) and Schmidt, Kriebitzsch, and Ewald (2011).
To control for varying sampling efforts across sites, we calculated for each plot the scaled richness of each taxonomic group, that is, the ratio between the richness observed in the plot (alpha diversity) and the species pool size of that taxonomic group in a given site. Species pool size was estimated as the asymptotic species richness based on sample-based rarefaction and extrapolation curves (Colwell et al., 2012) using the Chao2 estimator in the R package iNext (Hsieh, Ma, & Chao, 2016). This approach also returns a measure of sampling completeness, which we compared across sites and taxonomic groups. We then calculated the average scaled richness across taxonomic groups to obtain a single measure of the diversity of all taxa we sampled, hereafter referred to as multidiversity (Allan et al., 2014). Multidiversity ranges between 0 and 1, with multidiversity of 1 meaning that a plot hosts all species contained in the species pool of a site. Multidiversity has the advantage of being comparable across sites, whatever the sampling effort and the species pool (both at the taxa and the site levels). To assess the robustness of our results to this scaling procedure, we also ran the analyses after scaling the species richness of a taxonomic group in a plot by the total number of species observed (rather than estimated via extrapolation curves) in the corresponding site for that taxonomic group. Neither of the two approaches are perfect, but provide complementary information. While the first approach allows controlling for the varying number of sampling units across sites, the second controls for differences in sampling design not related to sampling size (e.g., plot area).
2.3 Forest above-ground live carbon

where h is the tree height, and b0 and b1 are coefficients obtained empirically for each species in each forest site. We calculated growing stock (GS, m3/ha) as the sum of the individual volumes of the trees measured in a plot, scaled to a per hectare basis. Tree volumes were estimated using regionally calibrated species-specific allometric equations, with DBH and height as explanatory variables. Specifically, we referred to Tabacchi, Di Cosmo, Gasparini, and Morelli (2011) and Castellani, Scrinzi, Tabacchi, and Tosi (1984) for the Italian datasets, Sopp and Kolozs (2000) for Hungary, and Algan (1894) for France (Supporting Information Table S3). Growing stock was then converted to above-ground live carbon (AGC, MgC/ha) as AGC =GS*BEF*WBD/2, where BEFs are biomass expansion factors and WBDs (g/m3) are the wood basic densities (see Table 2 in Federici, Vitullo, Tulipano, De Lauretis, & Seufert, 2008).
2.4 Control variables
Coarse woody debris was sampled in plots ranging from 491 to 1,600 m2 using a diameter threshold of 10 cm. Volume of deadwood pieces was either calculated using the same allometric equations used for living trees (for standing or downed dead trees), or approximating deadwood volume to truncated cones or cylinders, depending on the data source (Supporting Information Table S3). Since deadwood represents an important resource for many wood-inhabiting fungi and beetles (Lassauce et al., 2011; Stokland et al., 2012), we included the ratio between deadwood volume and total live and dead wood volumes as a control variable. As additional control variables, we derived two topographic covariates (slope, aspect) from a 30-m resolution Digital Terrain Model (NASA, 2006), which we then used to calculate heat load, that is, the heat gain from incoming solar radiation. Moreover, for each plot, we extracted the value of the 19 bioclimatic variables contained in WorldClim v2.0 (Fick & Hijmans, 2017), based on a 30 arcsec raster resolution (approx. 1 km). To avoid multicollinearity, we ran a Principal Component (PC) analysis, and then considered the first four PCs, which collectively accounted for 93.5% of total variation. After passively projecting the 19 Bioclimatic variables onto the PC space (function envfit, in the R package vegan), we interpreted PC1 as a gradient of temperature, PC2 as gradient of seasonality, PC3 as a gradient of isothermality, and PC4 as a gradient of Mediterranean influence (from winter rain to summer rain; Supporting Information Table S4). We derived information on parent material from the European Digital Archive on Soil Maps to classify plots into three classes: igneous-metamorphic, sedimentary-clastic, sedimentary-limestone (Panagos, Jones, Bosco, & Kumar, 2011). Finally, we considered forest type as a categorical variable with four levels: acidophilous oak, mesophytic deciduous, beech dominated, and thermophilous deciduous. As we lacked detailed information on past forest management, we assigned each plot to one of four broad silvicultural systems: shelterwood, coppice with standards, tree/group selection, or unmanaged (at least since 20 years).
2.5 Modeling the response of biodiversity to forest above-ground C
We used BRTs to assess the relationship between above-ground live carbon and the scaled species richness of each taxonomic group as well as multidiversity. BRTs are non-parametric models based on decision trees in a boosting framework that does not require prior assumptions. BRTs are therefore relatively robust against overfitting, missing data, and collinearity (Elith, Leathwick, & Hastie, 2008). We used above-ground live carbon as explanatory variable, while controlling for the effect of forest structure, silvicultural system, climate, topography, and soil. After checking for collinearity (Pearson's r > 0.7), we retained nine control variables: coarse woody debris ratio, forest type, silvicultural system, bioclimate (four PCs), heat load, and substrate parent material. We also included forest site and data source (Supporting Information Table S1), as categorical control variables to account for remaining unobserved environmental and methodological differences across sites.
We parametrized the BRTs setting a tree complexity of 5 and a bag fraction of 0.5 (Elith et al., 2008). We tested different learning rates (0.5–0.001), and determined the optimal number of trees for each learning rate using the gbm.step routine provided in the dismo package (Hijmans, Phillips, Leathwick, & Elith, 2011). We then selected the parameter combination returning the highest cross-validated model fit. We finally calculated the relative importance of each explanatory variable (i.e., the fraction of times a variable was selected for splitting a tree in each BRT model, weighted by the squared model improvement). We evaluated model performance using tenfold cross-validation. We explored the relationship between biodiversity and the explanatory variables using partial dependency plots, which are the graphical visualizations of the marginal effect of a given explanatory variable on scaled richness (or multidiversity). These plots also allow to visually check for non-linear responses and possible thresholds. We explored the interactions between explanatory variables using the gbm.interactions function in the dismo package. Finally, we tested whether the relationship between carbon and biodiversity changes when considering forest and non-forest species separately. All analysis was performed in R 3.4.1.
2.6 Assessment of win-win and trade-offs species
We used Threshold Indicator Taxa ANalysis—TITAN (Baker & King, 2010) to identify win-win and trade-off species, that is, species that respectively increase or decrease their abundance and/or frequency with increasing levels of above-ground live carbon. TITAN uses binary partitioning by indicator value (IndVal, Dufrêne & Legendre, 1997) to identify species-specific change-points along an environmental gradient (above-ground live carbon in our case). Change-points are compared to random data permutations to assess their relevance, taking into account indices of purity (i.e., proportion of bootstrapped change-points response directions - positive or negative - that agree with the observed response) and reliability (i.e., proportion of bootstrapped change points with significant IndVal for p < 0.05). We evaluated uncertainty in change-point location based on the bootstrapped empirical distribution (Baker & King, 2010). To account for the nested (plots within sites) and unbalanced (different number of plots per site) nature of our dataset, we modified TITAN's original bootstrapping approach to randomly select (with replacement) a number of plots per site equal to the number of plots in the site having the lowest number of plots (if >3, 3 otherwise). We ran TITAN after pooling all species across taxonomic groups, but separately for forest types. We aggregated acidophilous and mesophytic oak forests (oak-dominated thereafter), and lowland and montane beech forests (beech-dominated forest thereafter) but excluded thermophilous oak forests due to the low sample size (n = 16). We also checked the conservation status of our win-win or trade-off species using the IUCN red lists (IUCN, 2018) and the r package rredlist (version 4.0, Chamberlain, 2017).
TITAN also allows exploring if species-level change points aggregate to a community-level threshold, that is, congruent change-points across all individual species, which we did separately for trade-off and win-win species. To explore the variability across taxonomic groups in community-level change-points, we ran TITAN both when considering the whole species assemblage, and for each taxonomic group. We considered narrow confidence limits across bootstrapped replicates as an evidence for a community threshold.
3 RESULTS
3.1 Relationships between above-ground live carbon and species richness
We inventoried a total of 2,415 species: 79 species of birds, 178 lichens, 230 bryophytes, 615 plants, 620 fungi, and 693 saproxylic beetles. The average number of species per plot was 94.9 ± 30.8 (standard deviation) species, and ranged between 11.3 ± 4.16 for birds and 34 ± 13.4 for plants. The estimated number of species per site ranged from 34.8 ± 14 for birds to 148 ± 47.7 for plants. Sample-based rarefaction and extrapolation curves showed that our sampling was on average very complete (Supporting Information Figure S2): the median sampling completeness was 92% (Supporting Information Table S5).
The relationship between scaled richness and above-ground live carbon was overall consistently weak (relative importance between 2.7%–8.1%, Supporting Information Figures S3 and S4), and varied in direction across taxa (Figure 2). The scaled richness of birds, bryophytes, and fungi increased slightly, but non-linearly, across the above-ground live carbon gradient (~5% absolute increase along the whole gradient). Most of the increase for birds and bryophytes occurred between 180–200 MgC/ha and 120–150 MgC/ha, respectively. The richness fraction of fungi increased non-monotonically along the above-ground live carbon gradient, with a first peak at 70 MgC/ha, and a secondary peak at 175 MgC/ha. The richness fraction of plants, instead, showed a ~5% absolute decline (see also Supporting Information Figures ).

Above-ground live carbon had a very little relative importance on multidiversity (1.9%), compared to other control variables especially site (relative importance 78.2%; Supporting Information Figure S11). Multidiversity increased by <1% over the whole above-ground live carbon gradient (Figure 3). BRT models were effective at modeling multidiversity and scaled richness (cross-validated correlation 0.54–0.84, Supporting Information Table S6), although most of the variation derived from site-to-site differences. Indeed, site was always the variable having the highest relative importance, across all taxonomic groups (49.6%–79.4%, Figure S4). Coarse woody debris ratio ranked as second best variable for beetles, bryophytes, fungi, and multidiversity (relative importance of 5.9%, 9.4%, 8.5%, and 5.3%, respectively). Bioclimate was a good predictor of lichen diversity, especially PC4—Mediterranean influence (relative importance 10.1%) and PC1—temperature (8%) (Supporting Information Figure S4). For all taxa but beetles and lichens, the interaction between site and above-ground live carbon ranked among the top three most important interactions.

These results were relatively robust to the scaling criteria used. When scaling richness by the number of species observed (rather than estimated) in the respective site, the results were qualitatively similar, although the cross-validated correlation was consistently lower, especially for lichens (Supporting Information Figures S12–S14, Table S7). Also when considering forest and non-forest species separately, the predictive ability of above-ground carbon remained limited, and ranged between 2.4% (birds) and 6.6% (plants) for forest species, and between 3.8% (birds) and 10.9% (plants) for non-forest species (Supporting Information Figure S15, Tables S8 and S9). Still, we observed a much stronger increase in forest species richness of lichens for increasing carbon, while the response of birds, bryophytes, plants, and multidiversity remained qualitatively similar to what observed for the full data (Supporting Information Figures ).
3.2 Response of individual species to changes in above-ground carbon
The TITAN analyses identified 27 and 75 species as pure and reliable indicators of above-ground live carbon (i.e., having a consistent response in both direction and magnitude across bootstrap replicates), in oak- and beech-dominated forests, respectively, corresponding to 5.3% and 9.0% of the total number of species (Figure 4). Most of the species-specific change-points occurred between 80–120 MgC/ha, in both forest types (Supporting Information Figures S20 and S21). Eleven species (10 plants and one bryophyte) were pure and reliable indicators in both forest types. All pure and reliable trade-off indicator species for oak-dominated forests were plants (Supporting Information Figure S20), either tree species with good dispersal ability (e.g., Sorbus aria, S. domestica, Acer campestre) or herbs and shrubs associated with forest margins (e.g., Vicia sepium, Lonicera xylosteum, Rosa arvensis). Win-win species were mostly bryophytes, typically found in shaded conditions and, secondarily, beetles (Tomicus piniperda, Cryptolestes duplicatus). Trade-off species in beech forests were principally plants (22 species), beetles (16 species) and secondarily birds (three species) and fungi (one species, Supporting Information Figure S21). Win-win species were mostly plants (14 species) and beetles (11 species). Those associated with the right end of the above-ground C gradient were mostly fungi (Fuscoporia ferruginosa, Stereum rugosum and Heterobasidion annosum) and beetles (e.g., Pediacus dermestoides, and Xylechinus pilosus).

Out of the 65 indicator species for which we had information on habitat preference, 37 were forest species (12 win-win and 25 trade-off), and 28 were non-forest species (8 win-win and 20 trade-off; Supporting Information Table S10). Only 200 out of the 2,384 species we considered were included in the IUCN database, with conservation status of win-win and trade-off species only available for 18 species, none of which was threatened.
We found a slightly higher number of trade-off than win-win species, both in oak (3.4% vs. 2%) and in beech (4.7% vs. 4.3%, respectively – Figure 4c). When also considering species not having a reliable response (i.e., responding consistently across bootstraps, but being significant indicators at the p < 0.05 level in <95% of bootstraps) this balanced picture did not change (8.7% trade-off vs. 7.9% win-win species in oak-dominated forests; 11.3% vs. 10.8% in beech-dominated forests).
The contribution of individual taxonomic groups varied substantially across forest types. In oak-dominated forests (Figure 4a), fungi, lichens, and bryophytes returned a higher proportion of win-win than trade-off species, while for plants, we observed the opposite. In beech forests, most taxonomic groups had a higher proportion of trade-off than win-win species, with the exception of bryophytes and beetles (Figure 4b).
3.3 Community-level change-points along above-ground live carbon gradients
Aggregating individual species’ responses to infer community-level change-points did not reveal a clear community-threshold in above-ground live carbon across all the taxa (Figure 5). In oak-dominated forests, the wide confidence intervals around the community-level change-points suggest that rather than abruptly, trade-off species were gradually replaced by win-win species with increasing above-ground live carbon. In beech forests, instead, we observed relatively sharp community-level change-points for trade-off species across all taxa (except lichens), which ranged between 81.3 MgC/ha (fungi) and 122.4 MgC/ha (lichens). In both forest types, community-level change-points of win-win species were more variable than those of trade-off species and, at least in beech forests, returned wider confidence intervals (e.g., for plants, fungi, and beetles). Community-level change-points for trade-off species of different taxa were very similar across the two forest types, while for win-win species these were on average higher in beech compared to oak forests.

4 DISCUSSION
Can managing forest for carbon storage jointly achieve biodiversity conservation and climate change mitigation goals? Answering this question critically depends on better understanding the relationship between forest carbon stocks and biodiversity for the scales at which management takes place (Ferreira et al., 2018; Gardner et al., 2012; Mori et al., 2017). We assembled a large dataset of plot-level forest carbon stock and multi-taxonomical diversity for temperate forest, where knowledge gaps are largest. We found little evidence that above-ground live carbon and species richness in temperate forests are congruent at the extent of individual forest stands, which contrasts with most of the evidence from the tropics (Sullivan et al., 2017). For all taxa we investigated, we found that win-win species gradually replaced trade-off species with increasing above-ground live carbon levels, changes that biodiversity surrogates (e.g., richness) would fail to detect. In general, species and community-level change-points were neither congruent, nor equally abrupt across taxa, suggesting that leveraging co-benefits across taxonomic groups might be difficult. Overall, our results highlight that in temperate forests it may not be best to jointly pursue conservation and climate change mitigation goals at the extent of forest stands. Rather, forest planners should establish local priorities to leverage potentially higher co-benefits at broader extents. Stand-specific priorities can be established by taking into account the taxon-specific carbon–biodiversity relationship and the share of win-win versus trade-off species to establish a safe operating space to manipulate above-ground live carbon levels while avoiding undesired biodiversity loss.
Our work provides new insights into the shape, variability, and context-specificity of the carbon-biodiversity relationship, especially for taxonomic groups that are rarely considered (e.g., fungi, lichens, saproxylic beetles, and bryophytes). The correlation between carbon and biodiversity was overall relatively weak and highly variable across taxonomic groups, and this result was robust when comparing different standardization techniques accounting for data heterogeneity and the unequal sample intensity across sites. While previous research mostly reported that carbon stocks and biodiversity may both benefit from the prioritization of the same set of forest stands (Deere et al., 2018; Magnago et al., 2015; Reside et al., 2017; Sullivan et al., 2017), for temperate forests the evidence is still inconclusive and mainly based on tree species only (Lecina-Diaz et al., 2018; Potter & Woodall, 2014; Xian et al., 2015). The contrasting patterns observed across different taxonomic groups, with larger differences than between forest and non-forest species, may explain the weak relationship between multidiversity and above-ground live carbon. On the one hand, carbon-dense, late-successional forests represent better habitat than open forests for many organisms. Birds, for instance, may benefit from high above-ground live carbon, especially in the presence of ecologically complex carbon, such as wide-branching canopies, large standing trees, and stem cavities (Hatanaka et al., 2011; Lecina-Diaz et al., 2018; Paillet et al., 2018). High above-ground live carbon also often correlates with high deadwood levels, which represents fundamental resources for wood-inhabiting fungi or beetles (Lassauce et al., 2011; Stokland et al., 2012). On the other hand, plant species richness decreased with increasing above-ground live carbon stocks, especially when non-forest species were taken into account (Supporting Information Figure S17), likely as a consequence of the strong, asymmetrical competition for light exerted by few tree species on the herb-layer, which comprises the majority of plant species in temperate forests (Sabatini, Jiménez-Alfaro, Burrascano, & Blasi, 2014). Furthermore, in our assessment, most variation occurred across forest sites, rather than along the above-ground live carbon gradient. This is in agreement with previous research, which highlighted the importance of broad-scale drivers, including macroclimate and the regional species pool, as determinants of forest fine-scale biodiversity (Jiménez-Alfaro et al., 2018; Sullivan et al., 2017).
Forest assemblage composition did change along the above-ground live carbon gradient, although species richness and multidiversity did not. With increasing above-ground live carbon, win-win species gradually replaced trade-off species, confirming that what constitutes suitable habitat conditions differs among species (Lindenmayer et al., 2005). Both in oak- and beech-dominated forests, the overall proportion of win-win species was similar to the proportion of trade-off species. This might concur at explaining why both multidiversity and scaled richness per taxa were relatively insensitive to increasing above-ground live carbon, since neither can discriminate between colonization and local extinction of species when these occur simultaneously and gradually in response to shifts in ecological conditions (Lindenmayer et al., 2005). As observed in tropical forests, the effect of carbon removal on species richness may be confounded by the increase in generalist species, so that a special focus on sensitive species, or species of conservation concern is recommended (Deere et al., 2018; Magnago et al., 2015). With the exception of plants, we did not find marked increases in non-forest species for the low end of the carbon gradient, possibly because we excluded the earliest successional stages in our analyses. Furthermore, the conservation status of the vast majority (92%) of species was not available, especially for understudied taxa (i.e., lichens, fungi and bryophytes; IUCN, 2018). In the absence of species-level assessments, identifying win-win and trade-off species provides a proxy for identifying sensitive taxa, and for calibrating biodiversity goals when managing temperate forests for climate change mitigation.
Community-level change-points differed between win-win and trade-off species, as well as across taxa and forest types, suggesting that a clear ecological threshold along the carbon-stock gradient may not exist in temperate forests. When considering trade-off species, however, we found a relatively marked decrease between ~80–120 MgC/ha, and the change-points of different taxonomic groups were surprisingly similar across the two forest types. We interpret this result as the effect of canopy closure (i.e., the phase of forest succession when the canopies of individual trees overlap), which reduces light availability, buffers temperature variation, increases relative humidity, and nearly excludes wind at the forest floor (Franklin et al., 2002). These ecological changes may determine a shift in the species composition of the herb-layer and facilitate forest succession toward the dominance of shade tolerant species, while triggering bottom-up cascading effects on the whole trophic network (Kagata & Ohgushi, 2006). Furthermore, canopy closure kicks off self-thinning processes, which provide a first pulse of deadwood in early successional stands, thus favouring the colonization by saproxylic species (Lassauce et al., 2011; Stokland et al., 2012). This result suggests that a general pattern may exist in temperate forests and advises against assuming a linear positive carbon–biodiversity relationship in conservation actions (Di Marco et al., 2018).
We used a large, multi-taxonomic dataset collected across a broad geographical area and environmental gradient, which gives us confidence on the generality of our results. Still, our analyses do not come without uncertainty. First, although comprehensive, our dataset suffers from a lack of detailed information on management and disturbance history, both of which influence biodiversity and carbon stock, and possibly their relationship (Paillet et al., 2010). We accounted for differences in silvicultural systems across plots, but our reconstruction was coarse, and we cannot exclude that legacies of past forest management (e.g., coppicing) may still be playing a role. Second, our results provide indication on the carbon–biodiversity relationship for natural or semi-natural forests only, that is, self-regenerated forests of native species. These forests are particularly relevant for biodiversity conservation, but in many European countries they are often replaced with forest plantations composed of very productive carbon-sinking species (e.g., Picea abies, Pseudotsuga menziesii, Eucalyptus spp.) that may show different carbon-biodiversity relationships (Pichancourt et al., 2014). Finally, our dataset is heterogeneous and spatially nested in nature. Failing to treat data nestedness can lead to problems of pseudoreplication and higher probabilities of type I error. We accounted for nestedness by stratifying the bootstrapping procedure when exploring change-points through TITAN. This, however, comes at the cost of reducing the power of the analysis, which means that our analysis might not detect all the win-win and trade-off species. Still, our results were robust to different standardization techniques (see Supporting Information Tables S6 and S7, and Figures ), which suggests that data heterogeneity did not confound the overall signal we found.
Our work provides new understanding of how co-benefits between biodiversity and carbon storage might be leveraged in temperate forests. Three major implications for management derive from our results. First, biodiversity and above-ground live carbon cannot easily be simultaneously maximized in temperate forests at the extent of individual stands. Instead of seeking to maximize both goals at this extent, co-benefits might be larger for strategies that seek to maximize them across broader extents, for example by segregating areas dedicated to biodiversity from those dedicated to carbon storage (Edwards et al., 2014; Kraus & Krumm, 2013). Forest planners and managers should carefully evaluate whether to give priority to biodiversity conservation or other carbon-related goals, since maximizing forest carbon stock at the stand scale (e.g., by altering the number and arrangement of trees via thinning or planting) may only benefit some elements of biodiversity, while being detrimental to others. Importantly, the scaling of trade-offs in temperate forests when increasing the observational extent thus appears to differ fundamentally from tropical forests, at least those under management, where climate and biodiversity objectives may be effectively integrated at the level of individual stands (Deere et al., 2018; Ferreira et al, 2018; Magnago et al., 2015).
Second, reconciling biodiversity and carbon objectives requires planning across multiple scales. This includes assessments of which arrangement of management types delivers lowest trade-off or highest co-benefits (Law et al., 2017; Reside et al., 2017), while integrating stand-level constraints (Pichancourt et al., 2014). Likewise, planning at the extent of landscapes is needed to ensure heterogeneity in forest developmental stage and structure across stands (Schall et al., 2018), which should include set-asides (Bouget et al., 2014; Ferreira et al., 2018; Hatanaka et al., 2011), to ensure that trade-off assessments are robust over time. Encouraging the retention of blocks of undisturbed forest as a conservation priority within managed forests may represent an effective option for reconciling carbon-storage and conservation goals, while incorporating multiple environmental goals in forest management (Edwards et al., 2014). This would allow for the persistence of the full range of both win-win and trade-off species, and therefore maximizing multi-taxonomic diversity while optimizing carbon-stock allocation (Trentanovi, Campagnaro, Rizzi, & Sitzia, 2018).
Third and finally, our study highlights that rather than relying on biodiversity surrogates, only an explicit consideration of all taxa of conservation concern will provide the full picture of how these taxa respond to the manipulation of forest structure and above-ground live carbon stocks in temperate forests (Villard & Jonsson, 2009).
ACKNOWLEDGEMENTS
F.M.S. was funded by the European Union's Horizon 2020 Research and Innovation Program under the Marie Skłodowska-Curie, grant agreement No. 658876. Sapienza University of Rome provided the funding for the networking activities that allowed this joint research (Ricerche Universitarie 2015 - prot. C26A15KE2T). Data collected in central and southern Italy derive from the LIFE+ project FAGUS (11/NAT/IT/00135), those relative to Hungary from Hungarian Research Fund (OTKA K79158), Őrség National Park Directorate; for the French Alps funding came from IRSTEA and from the Conseil Général de l'Isère and Bauges Natural Regional Park; data for the rest of France were collected by funding of the French Ministry in charge of Ecology (Convention Cemagref-DEB (MEEDDAT), Action GNB and the program “Biodiversité, Gestion Forestière et Politiques Publiques” (BGF), convention GNB 10-MBGD-BGF-1-CVS-092, no CHORUS 2100 214 651) and the Office National des Forêts (Convention ONF-Cemagref, Action 5, 2008); data for northern Italy were collected with funding provided by the Italian Ministry of Agricultural, Food and Forestry Policies, State Forestry Corps (Project Managers: A. Andrighetti and D. Campedel), research agreement No. 767/ 2008 (TS, Principal Investigator). Above all we wish to thank all the people that collaborated in the fieldwork and in the species identification and that solved nomenclature issues: G. Antonini, M.M. Azzella, H. Brustel, M. Cassol, O. Courtin, M. Dal Cortivo, J. Delnatte, L. Facioni, G. Favier, E. Gatti, G. Gobbo, J. Haran, I. Király, G. Kutszegi, S. Labonne, F. Lakatos, E. Lattanzi, F. Lebagousse, D. Lunghini, Z. Mag, O. Maggi, S. Márialigeti, C. Moliard, B. Németh, T. Noblecourt, B. Nusillard, F. Padovan, F. Parisi, S. Ravera, O. Rose, I. Siller, M. Sommacal, P. Tardif, A. Tilia, F. Tinya, M.Varaschin. We thank the anonymous editor, two anonymous reviewers and Moreno di Marco for very valuable comments on a prior manuscript version.
AUTHOR CONTRIBUTIONS
S.B., T.K., and F.M.S. developed the idea for this research. S.B., C.B., T.C., F.G., P.J., W.M, J.N., P.O., Y.P., and T.S. contributed the species and structural data. S.B., R.B.A., and F.M.S. gathered environmental data and processed the data. F.M.S. conducted the analyses and drafted the manuscript. All the co-authors contributed to writing the manuscript.