Soil food web properties explain ecosystem services across European land use systems Franciska T. de Vriesa,b,1, Elisa Thébaultc,d, Mira Liirie, Klaus Birkhoferf, Maria A. Tsiafoulig, Lisa Bjørnlundh, Helene Bracht Jørgensenf, Mark Vincent Bradyi, Søren Christensenh, Peter C. de Ruiterc, Tina d’Hertefeldtf, Jan Frouzj, Katarina Hedlundf, Lia Hemerikc, W. H. Gera Holk, Stefan Hotesl,m, Simon R. Mortimern, Heikki Setäläe, Stefanos P. Sgardelisg, Karoline Utesenyo, Wim H. van der Puttenk,p, Volkmar Woltersl, and Richard D. Bardgetta,b a Soil and Ecosystem Ecology, Lancaster Environment Centre, Lancaster University, Lancaster LA1 4YQ, United Kingdom; bFaculty of Life Sciences, University of Manchester, Manchester M13 9PT, United Kingdom; cBiometris, Wageningen University and Research Centre, 6700 AC, Wageningen, The Netherlands; d Bioemco, Unité Mixte de Recherche 7618 (Centre National de la Recherche Scientifique, Université Pierre et Marie Curie, Ecole Normale Supérieure, Institut de Recherche pour le Développement, AgroParisTech), Ecole Normale Supérieure, F-75230 Paris Cedex 05, France; eDepartment of Environmental Sciences, University of Helsinki, FI-15140, Lahti, Finland; fDepartment of Biology, Lund University, S-223 62 Lund, Sweden; gDepartment of Ecology, School of Biology, Aristotle University, 54124 Thessaloniki, Greece; hBiologisk Institut, Terrestrisk Økologi, 1353 København K, Denmark; iDepartment of Economics, Swedish University of Agricultural Sciences (SLU), S-220 07 Lund, Sweden; jInstitute of Soil Biology, Biology Centre Academy of Sciences of the Czech Republic, 370 05 Ceske Budejovice, Czech Republic; kDepartment of Terrestrial Ecology, Netherlands Institute of Ecology (NIOO-KNAW), 6700 AB, Wageningen, The Netherlands; lDepartment of Animal Ecology, Justus Liebig University, D-35392 Giessen, Germany; mDepartment of Ecology, Philipps University, 35043 Marburg, Germany; nCentre for Agri-Environmental Research, University of Reading, Reading RG6 6AR, United Kingdom; oDepartment of Conservation Biology, Vegetation and Landscape Ecology, University of Vienna, 1030 Vienna, Austria; and pLaboratory of Nematology, Wageningen University, 6700 ES, Wageningen, The Netherlands soil fauna | modeling | soil microbes | nitrogen S oils are of central importance for delivering ecosystem services, such as food production and climate mitigation. These services strongly depend on carbon (C) sequestration and nutrient cycling, processes that are governed by soil biota. Increasing demand for the production of food, fiber, and biofuel has resulted in intensification of agricultural production, which reduces soil organic matter content (1) and the biomass and diversity of most soil biota (2), with consequent impacts on processes of C and nutrient cycling. Specifically, land use-induced shifts to more bacterial-dominated microbial communities have been linked to increased nitrogen (N) losses (3–5) and reduced C sequestration (6). Conversely, fungal-dominated microbial communities, which are common in less intensively managed land use systems, are linked to more conservative nutrient cycling and greater storage of C (5, 7, 8). Although soil microbes are the primary actors in C and N cycling, their biomass and activity are www.pnas.org/cgi/doi/10.1073/pnas.1305198110 greatly influenced by higher trophic levels of the soil food web. For instance, animals that consume microorganisms can stimulate rates of nutrient mineralization (9) and plant productivity (10), whereas bioturbators, such as earthworms, can further increase nutrient availability for plants (11), although they can also increase N2O emissions from soil (12). Although there is evidence from field studies that soil microbial communities are linked to ecosystem functioning (13, 14), most studies on relationships between soil fauna and ecosystem function have been done in controlled (microcosm) experiments (15). As a result, our understanding of the functional importance of different groups of soil biota and the connections between them (the soil food web) in the field is limited, and it is not known how changes in soil food web structure across contrasting locations and land use systems impact on ecosystem functioning. There is some evidence to suggest that the role of the soil food webs relative to abiotic factors in regulating ecosystem functions will vary across geographical locations and environmental gradients (16). Moreover, differences in land use have been shown to affect the resistance and the resilience of soil food webs to simulated drought, with consequences for processes of C and N cycling (17). Therefore, quantifying general relationships between soil biota and processes of C and N cycling is of pivotal importance for predicting how these processes will be affected by global change. Our aim was to quantify, across geographically contrasting locations in Europe, how changes in soil food web composition resulting from land use systems influence the ecosystem services that they deliver. We hypothesized that, across European land use systems, processes of C and N cycling are explained by soil food web properties on top of variation explained by other factors, such as land use and soil physical and chemical properties. Specifically, we hypothesized that (i) more intensive land use consistently reduces the biomass of soil fungi and their consumers Author contributions: F.T.d.V., H.B.J., S.C., P.C.d.R., T.d., J.F., K.H., S.R.M., H.S., W.H.v.d.P., V.W., and R.D.B. designed research; F.T.d.V., E.T., M.L., K.B., M.A.T., L.B., H.B.J., S.C., T.d., L.H., W.H.G.H., S.H., S.R.M., H.S., S.P.S., and K.U. performed research; F.T.d.V., E.T., M.L., and K.B. analyzed data; and F.T.d.V., P.C.d.R., K.H., W.H.v.d.P., and R.D.B. wrote the paper. The authors declare no conflict of interest. This article is a PNAS Direct Submission. 1 To whom correspondence should be addressed. E-mail: [email protected]. This article contains supporting information online at www.pnas.org/lookup/suppl/doi:10. 1073/pnas.1305198110/-/DCSupplemental. PNAS Early Edition | 1 of 6 SUSTAINABILITY SCIENCE Intensive land use reduces the diversity and abundance of many soil biota, with consequences for the processes that they govern and the ecosystem services that these processes underpin. Relationships between soil biota and ecosystem processes have mostly been found in laboratory experiments and rarely are found in the field. Here, we quantified, across four countries of contrasting climatic and soil conditions in Europe, how differences in soil food web composition resulting from land use systems (intensive wheat rotation, extensive rotation, and permanent grassland) influence the functioning of soils and the ecosystem services that they deliver. Intensive wheat rotation consistently reduced the biomass of all components of the soil food web across all countries. Soil food web properties strongly and consistently predicted processes of C and N cycling across land use systems and geographic locations, and they were a better predictor of these processes than land use. Processes of carbon loss increased with soil food web properties that correlated with soil C content, such as earthworm biomass and fungal/bacterial energy channel ratio, and were greatest in permanent grassland. In contrast, processes of N cycling were explained by soil food web properties independent of land use, such as arbuscular mycorrhizal fungi and bacterial channel biomass. Our quantification of the contribution of soil organisms to processes of C and N cycling across land use systems and geographic locations shows that soil biota need to be included in C and N cycling models and highlights the need to map and conserve soil biodiversity across the world. ENVIRONMENTAL SCIENCES Edited by William H. Schlesinger, Cary Institute of Ecosystem Studies, Millbrook, NY, and approved July 16, 2013 (received for review March 18, 2013) and increases the dominance of bacteria and their consumers [i.e., decrease the fungal/bacterial (F/B) channel ratio] and (ii) a shift to greater dominance of bacteria and their consumers (i.e., decrease F/B channel ratio) increases rates of C and N cycling and loss. To test these hypotheses, we measured C and N fluxes at 60 sites in four European countries (Sweden, United Kingdom, Czech Republic, and Greece) distributed across five locations in each country representing intensive annual crop rotation [high intensity (H)], extensive rotation, including legumes or ley [medium intensity (M)], or permanent grassland [low intensity (L)]. Measurements included potential N mineralization, which is a measure of the release of N for plant uptake, and losses of N and C from soil both as gases and in drainage waters. Gaseous emissions from agricultural soils, as N2O, CO2, and CH4, contribute significantly to global warming and atmospheric pollution (18), and leaching of C and N in drainage waters contributes to eutrophication of ground and surface water (19). We also quantified the biomass of key functional groups in the soil food web, including fungi and bacteria, protozoa, nematodes, earthworms, Enchytraeids, mites, and collembolans. To relate the structure of the soil food web to C and N fluxes, we calculated traditional soil food web properties, such as the number of feeding groups in the food web. In addition, to test our hypothesis that land use will alter the relative importance of the fungal and bacterial energy channels, we calculated measures based on the fungal, bacterial, and root energy channels (SI Appendix, SI Methods). Soil food webs and their corresponding C and N fluxes are likely to be affected by factors, such as land use, soil properties, and spatial structure of sampling sites. To determine whether soil food web characteristics explained a unique proportion of variation in ecosystem services and deduce meaningful relationships between soil food web properties and C and N fluxes, we also accounted for variation caused by the spatial structure of the sites (which can be caused by autocorrelation between values of the response variable or underlying factors, such as climate and geology), land use, and soil properties. We accounted for spatial autocorrelation in the measured variables by calculating spatial filters using principle coordinates of neighbor matrices (20), and we used a hierarchical modeling approach that has previously been used to explain landscape-scale variation in soil microbial communities on the basis of climatic factors, soil properties, and plant traits (21) (Materials and Methods and SI Appendix). 2 of 6 | www.pnas.org/cgi/doi/10.1073/pnas.1305198110 Results and Discussion Across all four countries, soil food web structure was strongly influenced by land use (SI Appendix, Tables S1 and S2). The number of feeding groups, total biomass of the soil food web, and biomass of the fungal, bacterial, and root energy channel [which consists of arbuscular mycorrhizal fungi (AMF), root-feeding fauna, and their predators] were all lower under the M and H land use categories relative to the L category (SI Appendix, Table S1). The biomass of many individual feeding groups of soil biota was lower under these more-intensive land uses (SI Appendix, Table S2). These results indicate that, across contrasting sites in Europe, land use intensification consistently reduces the biomass of all components of the soil food web. However, in contrast to our hypothesis, land use intensification did not influence the ratio of fungal to bacterial biomass or the ratio of fungal energy channel to bacterial energy channel biomass in any of the countries sampled. Instead, land use intensification equally reduced the biomass of most feeding groups in the soil food web. However, the biomass of the groups that are part of the root energy channel was reduced more than the biomass of the organisms of the fungal and bacterial energy channel together (the detritus energy channel) (SI Appendix, Table S1). This difference can be explained by the effect of tillage, which was included in the M and H land use forms, because it disrupts root-associated organisms and their consumers (8, 22). All our models explaining processes of C and N cycling included one or more soil food web measures, indicating that relationships between soil biota and ecosystem functioning are surprisingly consistent across contrasting sites in Europe (Tables 1 and 2). In four of six models, land use was not included as an explanatory variable, which indicates that soil food web properties are better predictors of processes of C and N cycling than the three land use systems. Land use might not be included in our models because within our three broad land use categories, differences in management might have impacted on soil food web structure, which in turn, affected ecosystem processes (SI Appendix, Tables S4–S7 shows management details of all sites). The inclusion of spatial filters in all final models illustrates the importance of accounting for the spatial structure of sampling sites across this scale (Tables 1 and 2) and shows that C and N fluxes varied both among and within European regions. Still, only the model for potential N mineralization included an interaction term between a soil food web property (namely bacterial energy channel biomass) and a spatial filter (filter 3), indicating that the relationship between bacterial energy channel biomass and N mineralization was dependent on geographical location (Box 1 de Vries et al. Table 1. Selected models for potential N mineralization, total N leached, and N2O production Potential N mineralization Parameter value Intercept Spatial filters Soil physical properties Land use N and C stocks Soil food web structure Biomass of individual functional groups Model R2 Total N leached Parameter value P Parameter value P 774 −1,932*Filter2 <0.0001 0.0004 0.606 −2.445*filter5 0.0009 0.0054 −60,114*AM fungi; +16,357,441* bacnem 0.34 0.004; 0.024 −4,678*flagellates 0.0196 P −17.33 +224.7*Filter3 +65.7*moist; −752.2*Filter3*moist 0.0096 <0.0001 <0.0001; <0.0001 +3.64*pathbact; −38.2*Filter3*pathbact 0.0074; 0.0027 0.45 N 2O 0.17 of two functional groups, which together accounted for more than one-half of the variation explained by the full model (SI Appendix, Table S3). N leaching increased with greater biomass of bacterialfeeding nematodes (Fig. 1 and Table 1), which is in line with our hypothesis and the stimulating effect of bacterial grazers on N mineralization. In addition, we found that N leaching decreased with increasing biomass of AMF across all sites. Laboratory studies have shown that AMF reduce leaching of N and phosphorus (P) (28), but we are not aware of such a relationship being detected in the field, which we show here. Surprisingly, N leaching was not affected by land use across sites (SI Appendix, Fig. S1), which shows that its relationship with AMF is independent of the impact of land use on AMF. Production of N2O—a product of the denitrification process in soil—decreased across all locations with increasing biomass of flagellates, a group of protozoa that are part of the bacterial energy channel (Table 1). A mechanistic link between protozoa and N2O production has never been reported before. Because protozoa are aquatic organisms, this correlation probably reflects that denitrification predominantly occurs in anoxic zones in the soil (12). Although N2O emission is generally strongly affected by agricultural management (29), we did not find a link with land use here (SI Appendix, Fig. S1). Across all sites, we found that the three land use types were all methane sinks, and the intensive rotation and permanent grassland were stronger methane sinks than the extensive rotation. Table 2. Selected models for CO2 production, CH4 production, and DOC leached CO2 Parameter value Intercept Spatial filters Soil physical properties Land use N and C stocks Soil food web structure Biomass of individual functional groups Model R2 0.74 −5.17*Filter2 +1.0*pathFB +400*worms 0.53 CH4 P 0.033 0.0003 0.0003 <0.0001 DOC leached Parameter value P −0.27 0.044 296 −658*Filter2; −230*Filter4 −0.08*L; +0.17*M 0.0078 +326*L; −1,317*Filter4*L <0.0001; 0.0001 −0.08*F/B ratio +6.65*bacteria 0.046 0.049 +8,106,164*fungcoll; +5,798,305*bacnem 0.77 <0.0001; 0.017 0.24 Parameter value P <0.0001 0.001; 0.28 For each C cycling process, the best explaining model is shown, with intercept, parameters, their parameter value (within each category of parameters), and P value as obtained by an L-ratio deletion test (SI Appendix, SI Methods). Interpretation of the models is in Box 1. Bacnem, biomass of bacterial-feeding nematodes; fungcoll, biomass of fungal-feeding Collembola; pathFB, fungal-to-bacterial energy channel biomass ratio; worms, earthworm biomass. de Vries et al. PNAS Early Edition | 3 of 6 SUSTAINABILITY SCIENCE and Table 1). For all other models, the relationship between soil food web properties and the process of C or N cycling was independent of location. In line with our second hypothesis, across all 60 European farmland sites, the biomass of the bacterial energy channel was positively related to rates of N mineralization (Fig. 1 and Table 1). Interestingly, although the bacterial energy channel was reduced by intensive land use, N mineralization was not affected by land use (SI Appendix, Fig. S1), suggesting that the relationship between the bacterial energy channel and N mineralization was independent of land use. Field studies have shown that fungalbased soil food webs have lower N leaching losses from soil (5, 23) and lower rates of N mineralization (24). In laboratory studies, greater bacterial abundance has been linked to increased rates of N mineralization, and the presence of bacterial feeders in soil has often been shown to increase rates of N mineralization both indirectly through stimulating bacterial activity and directly through excreting N compounds (9, 25, 26). However, our study shows that N mineralization rates increase with greater biomass of the entire bacterial decomposition channel. This observation suggests that the intensification-induced reduction in bacterial channel biomass might increase the dependency on mineral fertilizer. Mineralization of N can turn into a disservice when N supply is too high for crop uptake and excess N is washed away in drainage waters or lost to the atmosphere through denitrification (27). Across all sites, leaching of N was strongly explained by the biomass ENVIRONMENTAL SCIENCES For each N cycling process, the best explaining model is shown, with intercept, parameters, their parameter value (within each category of parameters), and P value as obtained by an L-ratio deletion test (SI Appendix, SI Methods). Interpretation of the models is in Box 1. Bacnem, biomass of bacterial-feeding nematodes; moist, moisture content; pathbact, standardized biomass of the bacterial energy channel. Fig. 1. Fitted relationships between ecosystem services and soil food web properties. Variables that were included in the models but not shown in the graphs (Tables 1 and 2) were kept constant at their mean value in the dataset. (A) Potential N mineralization explained by standardized biomass of the bacterial energy channel. (B) Total N leached explained by AMF biomass and biomass of bacterivorous nematodes. (C) N2O production explained by biomass of flagellates. (D) CO2 production explained by F/B channel ratio and earthworm biomass. (E) CH4 production explained by F/B ratio and bacterial biomass (relationship shown is for intensive wheat rotation and permanent grassland) (extensive rotation CH4 production increases with 0.17 mg m−2 d−1 are shown in Table 2). (F) DOC leached from soil explained by fungivorous collembolans and bacterivorous nematodes (relationship shown is for intensive wheat rotation and extensive rotation) (permanent grassland DOC leaching increases with 1,317 mg m−2 as shown in Table 2). Legumes were included in the extensive rotation in three of four countries (SI Appendix, Fig. S1 and Tables S4–S7) and have been shown to reduce the strength of the methane sink in grasslands (30). Methane consumption also decreased with decreasing F/B biomass ratio and increasing biomass of bacteria (Table 2), which suggests that the decrease in bacterial biomass as a result of land use intensification, such as was found here, might affect the abundance of methanotrophs (for example, through an increase in nitrifiers at the expense of methanotrophs) (31). Production of CO2 measured in situ is a measure of soil heterotrophic activity and root respiration, and it forms a pathway of C loss from soil. Production of CO2 was greatest in the permanent grassland (SI Appendix, Fig. S1), which is consistent with these soils having the greatest C content (SI Appendix, Tables S4–S7). Production of CO2 was also positively related to the biomass of earthworms, which were most abundant in the permanent grassland (SI Appendix, Table S2). Several field-based experiments have shown significant impacts of earthworms on C and N cycling (12), but evidence for impacts of earthworms on respiration in the field is scarce. In addition and in contrast to our hypothesis, CO2 production increased with greater importance of the fungal energy channel (greater F/B channel ratio) (Fig. 1 and Table 2), a relationship that was independent of land use. Fungaldominated soil food webs are thought to be more efficient in their C use, although evidence is limited (6). The positive relationship found here between the fungal decomposition pathway and CO2 production might be a consequence of the fact that C-rich soils are generally fungal-dominated (5); consistent with this explanation, we found a positive relationship between biomass of the fungal energy channel and soil organic C (SI Appendix, Table S1). However, a greater CO2 production does not necessarily mean a greater loss of soil C given that soil C content is 4 of 6 | www.pnas.org/cgi/doi/10.1073/pnas.1305198110 determined by the balance between C loss by respiration and C gain by photosynthesis. Similar to CO2 production, leaching of dissolved organic carbon (DOC) was greatest from permanent grassland across all sites (Table 2). In addition, DOC leaching increased with the biomass of fungal-feeding collembolans and bacterial-feeding nematodes. This increase might be a consequence of the greater biomass of the fungal energy channel with greater soil C stocks (SI Appendix, Table S1), although the biomass of fungal-feeding collembolans itself was not related to soil organic C (SI Appendix, Table S2). The link between DOC leaching and fungal-feeding collembolans suggests that this functional group might be a sensitive indicator for changes in labile C availability. In addition, labile C constitutes an easily decomposable food source for microbes, which might stimulate microbial growth and increase the biomass of bacterial and fungal grazers through bottom-up effects (32). In sum, we found strong and consistent impacts of land use on the structure of soil food webs across land use systems in four climatically different regions in Europe; land use intensification reduced the abundance of most functional groups of soil organisms. In turn, soil food web properties strongly influenced processes of C and N cycling, and these relationships were consistent across land use types and sampling locations. The predictive power of soil food web structure or functional groups varied between the processes measured but was of equal importance as abiotic factors (SI Appendix, Table S3). Although relationships between soil food web properties and processes of C cycling were mostly related to land use intensity, relationships with N cycling processes were not. In all cases, soil food web properties were better predictors of processes of C and N cycling than the tree land use systems. Although ultimately correlative, the relationships that we found between bacterial-feeding animals, AMF, and earthworms and C and N cycling are in line with results from mechanistic de Vries et al. Materials and Methods Field Sites and Sampling. We selected four countries across Europe: Sweden, United Kingdom, Czech Republic, and Greece. In each country, sampling was done at five locations, and each location had three managements: intensive rotation (H), extensive rotation (M), and permanent grassland (L). This nested design resulted in 60 sampling sites (4 countries × 5 farms × 3 managements). Between May and July of 2009, in each site, two 1-m2 plots were randomly selected, and for each soil nutrient, microbial and faunal analyses of separate replicate soil cores (5-cm diameter and 10-cm depth) were taken from each plot and kept cool (4 °C) until analysis (see below). Gas samples were taken in situ: in each plot, a 10-cm inner diameter collar consisting of a PVC cylinder was pushed 5 cm into the soil. Then, a 5-cm-high PVC lid was fitted into a butyl rubber-lined groove in each collar. An 8-mL gas sample was taken immediately and 30 min after attaching the lids. SI Appendix, Tables S4–S7 has climate data of sampling regions and details on soil properties and management. determined by placing saturated undisturbed soil cores on a suction pressure plate, and after drying at 105 °C, bulk density was calculated. All soil, food web, and nutrient flux measures were expressed per meter squared, except potential N mineralization. Food Web Analyses. Phospholipid fatty acids (PLFAs) were extracted from 3 g soil according to the work by Frostegård and Bååth (40). The PLFAs 15:0, i15:0, a15:0, i16:0, 16:0ω9, i17:0, a17:0, cy17:0, 18:1ω7, and cy19:0 were used as markers of bacterial biomass (40). The amount of PLFA 18:2ω6 was used as a marker of nonmycorrhizal fungal biomass, and the neutral lipid fatty acid 16:1ω5 was used as a marker for AMF (41). Fatty acids were converted into biomass C using the following factors: bacterial biomass, 363.6 nmol PLFA = 1 mg carbon (40); fungal biomass, 11.8 nmol PLFA = 1 mg carbon (42); and AMF biomass, 1.047 nmol neutral lipid fatty acid = 1 μg carbon (41). Protozoa numbers were estimated using a modified most probable number method, and enchytraeid worms were extracted from intact soil core samples using wet funnels. Nematodes were extracted from a 150-mL sample with the modified Cobb sieving and decanting method (43), and soil mesofauna were extracted from undisturbed samples using Tullgren funnels. Nematodes were identified to the genus level and allocated to trophic groups; Collembola, Acari, and Oribatida were determined to species level. More information on food web analyses and biomass calculations is in SI Appendix. Statistical Analysis. We generated statistical models for each ecosystem service using spatial filters, soil properties, land use, and soil food web characteristics. We used linear mixed effects models with a farm-level random effect term to account for the clustering of fields in sampling locations. Analysis was conducted using the lme function of R version 2.11.1 (R Development Core Team 2009). Model selection followed the hierarchical procedure used in the work by de Vries et al. (21). In short, the order in which variables were added to linear mixed effects models followed a hypothesized sequence of controls, being such that variables added later in the modeling process are unlikely to affect those variables added earlier. The first terms added to the models were spatial filters, after which we sequentially added soil properties, land use, soil C and N contents, and finally, soil food web properties. Models were selected based on Akaike Information Criterion, and true significance of retained terms was assessed by a χ2 likelihood ratio deletion test. Detailed information on the modeling procedure is in SI Appendix. Soil Analyses. Total soil C and N were analyzed on air-dried soil with a Leco CNS-2000 analyzer, and total organic C was measured in a PrimacsSLC TOC Analyzer on dried (100 °C) soil. Soil pH and gravimetric moisture content were determined using standard methods. Water-holding capacity was ACKNOWLEDGMENTS. We thank all landowners for kindly letting us use their fields, and George Boutsis, Maria Karmezi, Sofia Nikolaou, Evangelia Boulaki, Charisis Argiropoulos, Annette Spangenberg, and Helen Quirk for help in the field and laboratory. We also thank two anonymous referees for their helpful comments on the manuscript. This project was part of the European Union Seventh Framework funded SOILSERVICE Project. 1. Stoate C, et al. (2001) Ecological impacts of arable intensification in Europe. J Environ Manage 63(4):337–365. 2. Postma-Blaauw MB, de Goede RGM, Bloem J, Faber JH, Brussaard L (2010) Soil biota community structure and abundance under agricultural intensification and extensification. Ecology 91(2):460–473. 3. de Vries FT, Van Groenigen JW, Hoffland E, Bloem J (2011) Nitrogen losses from two grassland soils with different fungal biomass. Soil Biol Biochem 43(5):997–1005. 4. Hunt HW, et al. (1987) The detrital food web in a shortgrass prairie. 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SUSTAINABILITY SCIENCE experiments (9, 12, 28). Therefore, our results strongly suggest that including soil food web parameters will enhance the predictive capacity of C and N cycling models. Process-based C and N cycling models require detailed input information that is often not available on regional scales (33), and general relationships between soil food web properties and processes of C and N cycling have the potential to simplify these models. Although more validation is needed (for example, within the countries and soil types sampled), the simple relationships between earthworms and CO2 production or between AMF abundance and N leaching might help parameterize C cycling (34) and ecosystem service models (35). Moreover, explicitly incorporating soil food web properties and their response to land use and climate change (17) in dynamic global vegetation models might improve predictions of climate change impacts on terrestrial ecosystem functions and their feedbacks to climate change (36). Finally, there is an urgent need to identify and evaluate indicators for soil-based ecosystem services (37). The quantitative relationships between relatively simple soil food web measures and ecosystem services shown in our analysis could be used to assess soil-based ecosystem services and disservices, such as N leaching from soil. Although the relationships revealed by our analysis require additional validation, they are an important first step to quantifying general relationships between soil food web properties and ecosystem processes in the field. 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Selected models explaining soil food web parameters. Intercept Spatial filters Parameter value Parameter Land use P Parameter value 2.20 2.27 Soil properties Parameter P IntensityL IntensityM 0.04 S 16.00 DivS 2.06 TLm 3.30 TLM 3.92 -0.33 Filter3 0.032 Log10(PathRD) Log10(PathFB) -1.70 -0.14 -1.80 -1.23 0.20 Filter1 Filter1 Filter3 0.0024 <0.0001 0.60 Pathfungi 0.46 -1.92 Filter3 0.0002 0.05 Filter1 <0.0001 0.01 IntensityL <0.0001 Pathbact 0.39 IntensityL Parameter P moist moist*IntL moist*IntM Ntot moist 0.042 0.034 0.0005 -0.24 0.01 pH pH2 0.034 0.044 0.009 -0.15 TOC Filter3*TOC 0.42 0.009 0.08 TOC 0.0001 0.05 0.03 0.04 0.10 0.008 -0.063 moist bulkdens Ntot bulkdens TOC Filter5*TOC 0.0011 0.0007 0.01 0.0001 0.009 0.014 -0.79 0.24 moist bulkdens 0.0016 0.016 <0.0001 Total biomass -0.08 0.08 Filter5 0.21 0.049 IntensityL <0.0001 Log10(Pathroot) Log10(FB) -1.67 -0.79 Filter1 Filter1 0.0045 <0.0001 0.57 IntensityL <0.0001 0.08 1 Parameter value 9.32 -5.71 -8.43 -2.02 1.73 Abbreviations: S = number of functional groups, DivS = diversity of functional groups, TLm = mean trophic level, TLM = maximum trophic level, PathRD = ratio of standardized biomass of root and detritus energy channel, PathFB = ratio of standardized biomass of fungal and bacterial energy channel, Pathfungi = standardized biomass of fungal energy channel, Pathbact = standardized biomass of bacterial energy channel, Total biomass = total biomass of the soil food web, Pathroot = standardized biomass of the root energy channel, FB = fungal/bacterial biomass ratio, moist = moisture content, bulkdens = bulkdensity, IntL = permanent grassland, IntM = medium intensity rotation, Ntot = total soil N content, TOC = total soil organic C content, WHC = water holding capacity. 2 Table S2. Selected models for explaining the biomass of individual functional groups of the soil food web. Intercept Fungi Bacteria 0.06 -0.02 Log10(F/B ratio) Log10(AM fungi) -2.93 Spatial filters Land use Parameter value -0.06 0.05 Parameter P Filter5 Filter1 0.008 <0.0001 -0.79 Filter1 <0.0001 -1.70 Filter1 0.0046 Soil properties Parameter value 0.03 0.01 Parameter P IntensityL IntensityL <0.0001 <0.0001 0.58 IntensityL <0.0001 -6 Fungivorous 1.88*10 nematodes Log10(Bacterivor -5.25 ous nematodes) Omnivorous and 2.8*10-6 predatory nematodes Plant parasitic -5.8*10-6 nematodes Log10(Plant-6.25 associated nematodes) Fungivorous mites 8.1*10-7 Fungivorous Collembola Log10(Predatory mites Earthworms 7.29*10-5 -5.9 -0.0012 Parameter value -0.07 0.08 0.017 -0.79 0.24 Parameter P WHC moist bulkdens moist bulkdens 0.0001 <0.0001 0.001 0.0016 0.016 -3.8*10-6 moist 0.039 1.06 Filter1 0.01 -1.9*10-6 Filter2 0.0055 -2.2*10-7 -6.2*10-8 pH TOC 0.018 0.035 1.44*10-5 -9.9*10-6 -1.04 Filter1 Filter2 Filter4 0.0017 0.011 0.03 1.30*10-6 pH 0.044 0.25 IntensityL 0.047 1.49*10-5 Filter3 0.033 2.35*10-6 IntensityL 0.01 -3.05*10-6 5.17*10-7 -1.07*10-4 WHC LOI Filter3*WHC 0.57 0.029 <0.0001 -7.3*10-5 3.09*10-5 4.00*10-5 -2.80 Filter3 Filter4 Filter6 Filter3 <0.0001 0.0031 0.0002 0.0004 0.29 IntensityL 0.04 0.0012 0.0015 IntensityM IntensityL 0.0024 -0.03 0.10 0.0029 moist (moist)2 bulkdens 0.0082 <0.0001 0.01 3 Intercept Spatial filters Parameter value Enchytraeids Log10(Flagellates ) Log10(Amoebae) Parameter Land use P 0.00008 -5.93 -6.27 1.67 -0.98 1.28 Filter1 Filter3 Filter2 Parameter value 0.001 <0.0001 0.0064 0.0004 Abbreviations: LOI = loss-on-ignition, Ctot = total soil C, rest as in table S1. 4 Soil properties Parameter P IntensityL <0.0001 Parameter value -0.00001 -0.0001 0.0004 2.02 0.86 2.19 1.37 0.05 Parameter P pH IntL*pH moist moist bulkdens moist bulkdens Ctot <0.0001 0.025 0.0004 0.0007 0.0003 <0.0001 0.0039 Table S3. Effect of removal of variable classes from selected models (Tables 1) explaining ecosystem processes on model R-squared values and AIC. Full model Filters removed Soil properties removed Land use removed N and C stocks removed Soil food web structure removed Ind. group biomass removed Pot N min Explained variance 0.45 0.14 392.3 412.5 0.14 429.9 0.32 AIC N leached Explained variance 0.34 0.17 AIC 893.9 904.4 N2O Explained variance 0.17 0.06 AIC 156.7 162.5 400.5 0.12 906.1 0.10 160.2 CO2 Explained variance 0.53 0.41 AIC 211.8 223.1 CH4 Explained variance 0.24 AIC 9.63 0.11 15.36 0.42 222.9 0.19 11.57 0.33 230.7 0.19 11.64 5 DOC leached Explained AIC variance 0.77 759.3 0.56 785.1 0.46 804.8 0.57 788.7 Table S4. Management and soil properties for the three land use forms in Sweden (Scania, 7.8/6.6/9.6 °C mean/min/max annual temperature, 666 mm mean annual precipitation). [SE] Description of crop/vegetation during sampling (2008/2009) L Pasture M Rotation H Intensive Rotation permanent grassland ley in rotation winter wheat lay for hay or grass seed production or catch crop before winter wheat: carrot or permanent grassland during winter/ winter winter wheat or spring barley/ Management regime – history (not tilled for at least 10 wheat or spring barley or sugar beets or spring barley or years) lay for hay/ potato or winter wheat spring barley or winter wheat cutting/harvesting, no harvesting, tillage (annually), Most important management grazing by cows or tillage during the year of weed and pest management practices horses lay when necessary once/year in spring; once/year in spring; once/year in spring; Fertilizer input * granules granules granules N (kg ha-1 y-1) 10 (0) 169 (112) 166 (134) P (kg ha-1 y-1) 1 (0) 18 (16) 16 (21) K (kg ha-1 y-1) 1 (0) 35 (33) 41 (36) FAO soil type ** Calcaric Cambisol Calcaric Cambisol Calcaric Cambisol Total Organic Carbon (%) 5.21 2.61 2.54 Total Carbon (%) 6.34 2.70 2.86 Total N (%) 0.41 0.21 0.17 C/N 13.84 13.15 16.55 pH 7.60 7.53 7.65 Moisture (g g-1) 0.31 0.20 0.19 Bulk Density (g cm-3) 0.95 1.31 1.19 Ca (g kg-1) 10.93 5.80 7.10 P (mg kg-1) 56.20 17.60 38.60 K (mg kg-1) 229.20 89.50 123.50 Mg (mg kg-1) 314.70 101.40 101.60 S (mg kg-1) 27.50 9.60 20.90 *average values for the years of sampling and for the previous three years before sampling (in parenthesis) **European soil database (http://eusoils.jrc.ec.europa.eu) 6 Table S5. Management and soil properties for the three land use forms in United Kingdom (Chilterns, 9.5/5.5/13.5 °C mean/min/max annual temperature, 625 mm mean annual precipitation). L Pasture M Rotation H Intensive Rotation Description of crop/vegetation during sampling (2008/2009) permanent grassland field beans winter wheat Management regime – history permanent grassland (not tilled for at least 10 years) continuous 6 or 7 year rotation with wheat/barley and two different break crops (oil seed rape and field beans) grazing by sheep harvesting tillage (annually) fungicides/herbicides/insecticides (biannually) continuous 3 or 4 year rotation with wheat/barley and oil seed rape as the only break crop harvesting tillage (annually), fungicides/herbicides (3 times per year), insecticides (annually), growth regulator (biannually) sewage sludge or municipal compost (at 20% of sampling sites) [UK] Most important management practices Fertilizer input * N (kg ha-1 y-1) P (kg ha-1 y-1) K (kg ha-1 y-1) FAO soil type** once/year; March; only for one site; granules 9 (9) 5 (5) 5 (5) Chromic Luvisol/Leptosol once/year; after soil analyses; granules 2 times/year; late March and late April; granules 0 (169) 99 (93) 60 (111) 173 (171) 35 (25) 25 (74) Chromic Luvisol/Leptosol Chromic Luvisol/Leptosol Total Organic Carbon (%) 3.71 2.12 3.00 Total Carbon (%) 6.46 4.11 6.49 Total N (%) 0.39 0.24 0.27 C/N 9.36 8.94 11.04 pH 7.22 7.41 7.64 Moisture (g g-1) 0.18 0.16 0.16 Bulk Density (g cm-3) 0.82 1.30 1.15 Ca (g kg-1) 15.90 11.20 12.80 P (mg kg-1) 38.06 21.88 22.16 K (mg kg-1) 316.79 179.76 182.52 Mg (mg kg-1) 190.03 129.15 134.35 S (mg kg-1) 28.15 16.78 17.90 *average values for the years of sampling and for the previous three years before sampling (in parenthesis) **European soil database (http://eusoils.jrc.ec.europa.eu) 7 Table S6. Management and soil properties for the three land use forms in Czech Republic (Ceske Budejovice, 7.9/3/13 °C mean/min/max annual temperature, 700 mm mean annual precipitation) L Pasture M Rotation H Intensive Rotation Description of crop/vegetation during sampling (2008/2009) permanent grassland clover wheat Management regime – history permanent meadow (not tilled for at least 10 years) continuous rotation with clover - barley or oats - wheat or oil seed rape or potato maize or winter barley. before wheat: oil seed rape/wheat/barley/potato [CZ] harvesting, tillage (annually), weed and pest cutting for forage management when necessary 3 times/year (3:2:1) in 3 times/year (3:2:1) in early spring, early spring, during Fertilizer input * once/year; granules during intensive growth, and after spike intensive growth, and appearance; granules after spike appearance; granules N (kg ha-1 y-1) 3 (3) 26 (138) 138 (138) P (kg ha-1 y-1) 0 (5) 5 (5) K (kg ha-1 y-1) 0 (5) 5 (5) Stagnic Stagnic Luvisol/Stagnic FAO soil type** Luvisol/Dystric Stagnic Luvisol/Dystric Cambisol Cambiso/Dystric Cambisol Cambisoil Total Organic Carbon (%) 5.54 1.91 1.98 Total Carbon (%) 5.54 1.91 1.98 Total N (%) 0.37 0.15 0.15 C/N 13.63 13.11 13.69 pH 6.41 6.74 6.74 Moisture (g g-1) 0.27 0.23 0.23 Bulk Density (g cm-3) 0.69 1.26 1.29 Ca (g kg-1) 3.20 1.30 1.60 P (mg kg-1) 8.00 8.60 17.40 K (mg kg-1) 488.10 235.20 272.30 Mg (mg kg-1) 309.20 174.70 151.80 S (mg kg-1) 91.20 7.80 15.40 *average values for the years of sampling and for the previous three years before sampling (in parenthesis) Most important management practices cutting/harvesting, no tillage in the year of clover **European soil database (http://eusoils.jrc.ec.europa.eu) 8 Table S7. Management and soil properties for the three land use forms in Greece (Kria Brisi, 14/4/31 °C mean/min/max annual temperature, 485 mm mean annual precipitation) L Pasture M Rotation H Intensive Rotation Description of crop/vegetation during sampling (2008/2009) permanent grassland clover barley Management regime – history permanent natural grassland (not tilled for at least 20 years) perennial rotation with clover (Medicago for at least 4 years) -tobacco or maize or vetch or barley. Most important management practices grazing by sheep or horses cutting (biannually), no tillage during the years of clover before barley: maize/various legumes/barley/set aside. harvesting, tillage (annually), weed and pest management when necessary once/year; granules 80 (53) - (3) - (3) Fluvisol [GR] Fertilizer input * once/year; granules N (kg ha-1 y-1) - (65) P (kg ha-1 y-1) - (17) K (kg ha-1 y-1) - (17) FAO soil type** Fluvisol Fluvisol Total Organic Carbon (%) 2.61 2.41 1.79 Total Carbon (%) 3.76 2.63 2.42 Total N (%) 0.21 0.21 0.15 C/N 12.27 12.01 12.33 pH 8.63 8.48 8.60 Moisture (g g-1) 0.19 0.26 0.20 Bulk Density (g cm-3) 1.26 1.37 1.37 Ca (g kg-1) 15.9 12.2 13.9 P (mg kg-1) 9.0 16.4 40.3 K (mg kg-1) 245.3 140.2 138.2 Mg (mg kg-1) 1260.6 607.6 559.8 S (mg kg-1) 29.4 21.1 115.9 *average values for the years of sampling and for the previous three years before sampling (in parenthesis) **European soil database (http://eusoils.jrc.ec.europa.eu) 9 Table S8. ANOVA table of country and land use effects on soil properties (with farm as a random factor). Underlined values are significant. Moisture pH Total N Total C Organic C C/N Ca P K Mg S F3,16 3.46 12.7 1.49 1.12 0.62 9.53 4.70 2.99 5.84 58.2 2.12 Country P 0.05 0.00017 0.25 0.37 0.62 0.0008 0.015 0.06 0.007 <0.0001 0.14 Land use F2,32 0.91 1.29 6.51 5.04 4.41 2.42 4.70 0.93 5.40 2.06 8.65 10 P 0.41 0.29 0.0043 0.013 0.02 0.10 0.16 0.41 0.009 0.14 0.001 F6,32 1.43 0.62 0.63 0.63 0.64 0.57 0.29 0.76 0.31 0.415 0.44 Country*Land use P 0.24 0.72 0.70 0.71 0.70 0.75 0.94 0.61 0.93 0.87 0.85 Table S9: Values for the physiological parameters of the different trophic groups in the food web. For each parameter for each trophic group, we averaged the estimations reported in the literature after review of recent literature on the subject (see references listed below). Trophic groups assimilation efficiency production efficiency death rate (yr-1) plant parasitic nematodes 0.42 0.31 2.3 phytophagous collembolan 0.34 0.37 1.96 plant associated nematodes 0.42 0.31 6 AM fungi 1 0.44 3.7 saprophytic fungi 1 0.44 3.7 bacteria 1 0.51 9 fungivorous mites 0.5 0.4 1.42 fungivorous nematodes 0.42 0.31 6 fungivorous collembolan 0.34 0.37 1.96 omnivorous collembolan 0.34 0.37 1.96 bacterivorous collembolan 0.34 0.37 1.96 amoeba 0.55 0.58 7.3 flagellates 0.52 0.6 7.3 enchytraeids 0.28 0.29 1.95 earthworms 0.22 0.32 0.14 bacterivorous nematodes 0.54 0.49 14.1 omnivorous and predaceous nematodes 0.55 0.28 5.8 predaceous collembolan 0.34 0.37 1.96 predaceous mites 0.75 0.3 3.44 References used for estimating trophic group physiological parameters: Barcenas-Moreno G, Gomez-Brandom M, Rousk J, Baath E (2009) Adaptation of soil microbial communities to temperature: comparison of fungi and bacteria in a laboratory experiment. Global Change Biology 15:2950–2957. 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Verhoef H, Prast J, Verweij R (1988) Relative importance of fungi and algae in the diet and nitrogen nutrition of Orchesella cincta (L.) and Tomocerus minor (Lubbock)(Collembola). Functional Ecology 2:195–201. Whalen JK, Parmelee RW (2000) Earthworm secondary production and N flux in agroecosystems: a comparison of two approaches. Oecologia 124:561–573. Wiegert RG, Petersen CE (1983) Energy Transfer in Insects. Annual Review of Entomology 28:455–486. Wolters V (1985) Resource allocation in Tomocerus flavescens (Insecta, Collembola): a study with C-14labelled food. Oecologia 2:229–235. Wood F (1974) Biology of Seinura demani (Nematoda: Aphelenchoididae). Nematologica 20:347–353. Ydergaard S, Enkegaard A, Brødsgaard H (1997) The predatory mite Hypoaspis miles: temperature dependent life table characteristics on a diet of sciarid larvae, Bradysia paupera and B. tritici. Entomologia experimentalis et applicata 85:177–187. 14 Table S10: Values for the coefficients of feeding preferences used to calculate the diet fraction each prey represents for each predator trophic group (these coefficients were further weighted by corresponding prey biomasses measured in the field). These values were based on estimations reported in the literature (see references listed below). Predator trophic group Prey trophic groups Feeding preference plant parasitic nematodes phytophagous collembolan plant associated nematodes AM fungi saprophytic fungi bacteria fungivorous mites fungivorous mites fungivorous nematodes fungivorous nematodes fungivorous collembolan fungivorous collembolan fungivorous collembolan omnivorous collembolan omnivorous collembolan omnivorous collembolan omnivorous collembolan bacterivorous collembolan amoeba amoeba amoeba amoeba flagellates flagellates flagellates enchytraeids enchytraeids enchytraeids earthworms earthworms earthworms bacterivorous nematodes bacterivorous nematodes omnivorous and predaceous nematodes omnivorous and predaceous nematodes omnivorous and predaceous nematodes omnivorous and predaceous nematodes omnivorous and predaceous nematodes omnivorous and predaceous nematodes omnivorous and predaceous nematodes omnivorous and predaceous nematodes predaceous collembolan predaceous collembolan root aboveground plant root root detritus detritus AM fungi saprophytic fungi AM fungi saprophytic fungi AM fungi saprophytic fungi bacteria detritus AM fungi saprophytic fungi bacteria bacteria bacteria flagellates saprophytic fungi AM fungi AM fungi saprophytic fungi bacteria detritus saprophytic fungi bacteria detritus saprophytic fungi bacteria bacteria flagellates bacteria amoeba flagellates plant parasitic nematodes plant associated nematodes fungivorous nematodes bacterivorous nematodes enchytraeids fungivorous nematodes fungivorous collembolan 1 1 1 1 1 1 0.5 0.5 0.1 0.9 0.475 0.475 0.05 0.25 0.25 0.25 0.25 1 0.08 0.9 0.01 0.01 0.05 0.05 0.9 0.2 0.4 0.4 0.2 0.4 0.4 0.05 0.95 0.0001 0.001 0.001 0.2 0.2 0.2 0.2 0.2 0.05 0.05 15 predaceous collembolan predaceous collembolan predaceous collembolan predaceous collembolan predaceous mites predaceous mites predaceous mites predaceous mites predaceous mites predaceous mites predaceous mites predaceous mites omnivorous collembolan bacterivorous collembolan bacterivorous nematodes omnivorous and predaceous nematodes predaceous collembolan omnivorous and predaceous nematodes enchytraeids fungivorous mites fungivorous collembolan omnivorous collembolan bacterivorous collembolan phytophagous collembolan 0.05 0.05 0.05 0.8 0.2 0.001 0.001 0.2 0.2 0.2 0.2 0.2 References used for estimating coefficients of predator feeding preferences: Berg M et al. (2001) Community food web, decomposition and nitrogen mineralisation in a stratified Scots pine forest soil. Oikos 94:130–142. Bjørnlund L, Rønn R, Péchy-Tarr M, Maurhofer M, Keel C, Nybroe O (2009) Functional GacS in Pseudomonas DSS73 prevents digestion by Caenorhabditis elegans and protects the nematode from killer flagellates. The ISME Journal 3: 770-779. Ekelund F (1998) Enumeration and abundance of mycophagous protozoa in soil, with special emphasis on heterotrophic flagellates. Soil Biology and Biochemistry 30: 1343-1347. Hunt H, Coleman D, Ingham E (1987) The detrital food web in a shortgrass prairie. Biology and Fertility of Soils 3:57–68. Schmidt O, Curry JP, Dyckmans J, Rota E, Scrimgeour CM (2004) Dual stable isotope analysis (δ13C and δ15N) of soil invertebrates and their food sources. Pedobiologia 48: 171-180. 16 Table S11. Parameter combinations fitted in the statistical modelling procedure. Variable class 1. Spatial autocorrelation Parameter combinations tested a) Filters 1-6 2. a) pH, moisture, WHC b) pH+pH2, moisture+moisture2, WHC+WHC2 c) All combinations of terms from a and b that were found to improve AIC in phases a and b. (retain quadratic term of any of these two term combinations if found to improve AIC in phase b). d) Interaction terms between parameters that were found to be significant in a and b with parameters from class 1 a) H, M, L b) H+M, L c) Interaction terms between parameters that were found to be significant in a and b with parameters from class 1. a) Total C, total N, total organic C, C/N, LOI b) Total C+Total C2, Total N+Total N2, TOC+TOC2, LOI+LOI2 c) All combinations of terms from a and b that were found to improve AIC in phases a and b. (retain quadratic term of any of these two term combinations if found to improve AIC in phase b). d) Interaction terms between parameters that were found to be significant in a and b with parameters from class 1 and 3 a) Number of functional groups, diversity of functional groups, mean trophic level, maximum trophic level, fungal channel biomass, bacterial channel biomass, root channel biomass, total biomass, F/B channel ratio, R/D channel ratio, F/B ratio b) All combinations of terms from a that were found to improve AIC in phase a. c) Interaction terms between parameters that were found to be significant in a and b with parameters from class 1 and 3 a) fungi, bacteria, AM fungi, nematodes (fungivorous, bacterivorous, omnivorous, predatory, plant-feeding, plantassociated), Collembola (fungal-feeding) , mites (fungalfeeding, predators), earthworms, enchytraeids, protozoa (amoebae, flagellates) b) All combinations of terms from a that were found to improve 3. 4. 5. 6. Soil physical and chemical properties Land use C and nutrient stocks Soil food structure web Biomass of individual functional groups 17 AIC in phase a. c) Interaction terms between parameters that were found to be significant in a and b with parameters from class 1 and 3 18 Supplementary Figures Figure S1. Differences in, and ranges of, ecosystem services and disservices as affected by land use across the four European countries. Boxes represent median and 25th and 75th percentiles, whiskers show maximum and minimum value unless extreme values are present (circles). Intensity effects were significant for CO2 production (F2,32 = 6.94, P = 0.003), CH4 production (F2,32 = 3.35, P = 0.047), and DOC leaching (F2,30 = 19.6, P < 0.000). 19 Figure S2: Soil food web diagrams. A. General food web diagram used to estimate the flow-based soil food webs at the different sites. B. Flow-based soil food web in a Swedish farm in a high land use intensity field. Circles represent trophic groups of soil organisms and arrows represent the feeding links between these groups. For panel B, the size of the circles is proportional to the biomass of the trophic groups and the width of the arrows is proportional to the carbon flows between the groups. 20 Supplementary Methods Food web analyses and calculations Biomass calculations First, the biomass of all measured and counted groups of the soil food web was calculated in terms of kg C m-2. Fatty acids were converted into biomass C using the following factors: bacterial biomass 363.6 nmol PLFA = 1 mg carbon (1). Fungal biomass: 11.8 nmol PLFA = 1 mg carbon (2), AMF biomass: 1.047 nmol NLFA = 1 µg carbon (3). After counting total numbers, nematodes were fixed in 4% formaldehyde and 150 randomly selected nematodes were identified to the genus level (4) and allocated to trophic group (5), and nematode biomass was individually estimated by analysing digital microscope images with a specially developed software tool (6). Collembola were determined to species using keys of Gisin (7), Babenko et al. (8), and Zimbars and Dunger (9). Acari were sorted to suborders using Krantz and Walter (10), and Oribatida were determined to species using keys of Balogh and Mahunka (11) and Weigman (12). Biomass of microarthropods was estimated from body dimensions following (13). Biomasses for all groups were then expressed per square meter using bulk density values. Estimation of the “flow-based” soil food webs Carbon flows, expressed as kg C m-2 yr-1, between trophic groups in soil food webs were estimated as in Hunt et al. (14) from the biomasses of the different trophic groups at a given site (see above), , and from feeding preferences and physiological parameters of the different trophic groups (Table S9 and S10). Feeding rate (kg C m-2 yr-1) of trophic group 21 j on trophic group i is expressed as ∑ = where Bj is the biomass of group j, dj, aj and pj are respectively group j death rate, assimilation and production efficiencies, and gij corresponds to the fraction each prey i represents in diet of trophic group j depending on predator relative feeding preference biomasses ( =∑ weighted by prey ). The basic assumption underlying this way of calculating feeding rates is that this feeding rate, on an annual basis, balances losses through natural death ( ) and losses through predation (∑ ) (14). Parameters used were taken from Hunt et al. (14) and further updated by a review of recent literature on the subject (see Table S9 and S10). Measures of soil food web structure We use three types of soil food web measures: diversity indices (number of trophic groups in the food web and Shannon diversity of trophic groups), measures based on trophic position (mean trophic level and maximum trophic level in the food web), and measures based on energy channels (Fungi/Bacteria biomass ratio, fungal channel biomass, bacterial channel biomass, root channel biomass, Fungal/Bacterial channel ratio, Root/Detritus channel ratio). The trophic position of a species is defined here by the average of the trophic position of the species it consumes weighted by the diet fraction these species represents: = 1 + ∑! " , where TLj is the trophic level of species j and gij the fraction of the consumer j’s diet derived from the prey i. These “flow-based” trophic levels are computed following the method of Williams and Martinez (15). Average trophic level for 22 each consumer is the sum of all entries in each column of A = [I –G]-1 with I the identity matrix and G = (gij). Fungal, bacterial and root energy channels are measured by the biomass of all the groups belonging to that channel weighted by their contribution to this channel. The contribution of a group to a channel is defined by # = ∑! " # and thus the contribution of each group is equal to the product of A by a vector V, with Vi=1 for the source of the energy channel (either fungi, bacteria or root) and 0 otherwise. We measured two different indices to quantify the fungal and bacterial energy channel. First we summed the biomass of all groups belonging to a given channel weighted by their contribution # to this channel. Second, because the order of magnitude of biomasses differs strongly between the trophic groups, we also calculated the energy channels with standardized biomasses of each group by dividing the biomass of one group by the overall mean of that group over all considered food webs (16). 23 Spatial filters Two different types of mechanisms can cause spatial structure in a measured variable, (i) known or unknown explanatory variables or (ii) autocorrelation between values of the measured variable. To explicitly incorporate spatial structure into our statistical models we calculated spatial filters using principal coordinates of neighbor matrices (PCNM) (17, 18). This method accounts for the fact that measured variables are structured at different spatial scales; not just at a country scale (which could have been modeled as a random factor), but also within countries and within farms. The following steps were used to create the spatial filters: 1. A distance matrix was calculated from the geographic coordinates of all sites based on Euclidean distances. 2. This distance matrix was truncated at distances above 29.5 km as the minimum spanning tree in the region with the largest spread of field sites (Czech Republic) and all distances larger than 29.5 km were replaced by four times that value prior to PCO as recommended (19) 3. The principal coordinates were computed from this distance matrix. 4. All principal coordinates that corresponded to positive eigenvalues were retained as spatial filters for further analyses as they represent a spectral decomposition of the spatial relationships between sampling sites. 24 Statistical modeling Model selection followed a modified version of the procedure described in De Vries et al et al. (20). In this method, we added groups of terms according to a fixed sequential order, compared their influence on model likelihood, selected the variables that gave the greatest improvement to model likelihood, assessed by selecting the model with the lowest Akaike’s Information Criterion (AIC), and then retained these terms in the model if they were found to be significant in a chi-squared likelihood ratio deletion test (LRTs) (21). After these tests, another set of variables representing different controls over function were then added and the process was repeated. The order of addition followed a hypothetical hierarchy of controls over function, starting with spatial filters that either account for autocorrelation between values of the response variable, or for underlying, measured or unmeasured factors such as climate and geology, and ending with soil food web properties. While interrelationships and correlations between predictor variables are unavoidable, we kept the order of the hierarchy such that variables added later in the modelling process were unlikely to influence those that had previously been added. Therefore, if soil food web properties shared explained variance with parameters previously added, but were retained in the model, they explained a unique proportion of variance. In contrast, if they accounted for all the variation explained by a parameter that was added earlier in the modeling process, this parameter then became non-significant. Addition of variables according to this hierarchy of controls does not allow for the disentangling of causative relationships, but if variation accounted for by the more proximate factors was entirely shared by the ultimate causes then these variables would not improve model likelihood when added. For 25 variables for which an optimum of biological activity was expected, quadratic terms were added alongside main terms (e.g. pH, moisture). First, spatial filters and first order interactions between them were added. For a full list of terms added see Table S11. In the second stage, terms representing hydrology and soil physical properties were added: soil pH, moisture content, and water holding capacity. These variables are largely driven by underlying geology and local hydrology. Once the effects of spatial structure and soil abiotic properties were estimated, we added first order interactions between the retained spatial filters and soil variables, and removed these sequentially by using LRTs, starting with the least significant until only significant interactions remained. The third set of terms consisted of the three land use forms of intensive wheat rotation, extensive rotation, and permanent grassland. The fourth stage of the process was including total N and C stocks, variables that will be affected by management, soils, and climate, but which might explain more or additional variation. Fifth, we estimated soil food web structure effects on processes of C and N cycling, and finally, we tested for effects of individual functional groups of the soil food web on processes of C and N cycling. At the end of each of these steps, interaction terms between retained variables were added to the model and removed by LRTs, until only significant interaction terms remained. Once this final model was reached we assessed the significance of each term by removing it from the model and performing a LRT. When it was found that terms that were significant earlier in the modelling process were no longer significant in the presence of new variables, the non-significant terms were removed from the model. A measure of model fit of the final model was calculated as the R-squared when fitting a 26 linear regression to the actual data, with the predicted values of the model as the explanatory variable. We also explored how much influence each category of variable had upon overall fit by removing each class of variable from the fitted models and observing the change in AIC and model fit, as calculated above. References for Supplementary Methods 1. Frostegård Å & Bååth E (1996) The use of phospholipid fatty acid analysis to estimate bacterial and fungal biomass in soil. Biol Fertil Soils 22(1-2):59-65. 2. Klamer M & Bååth E (2004) Estimation of conversion factors for fungal biomass determination in compost using ergosterol and PLFA 18 : 2 omega 6,9. Soil Biol Biochem 36(1):57-65. 3. Olsson PA, Bååth E, Jakobsen I, & Söderström B (1995) The use of phospholipid and neutral lipid fatty-acids to estimate biomass of arbuscular mycorrhizal fungi in soil. Mycol Res 99:623-629. 4. 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