Weed suppression greatly increased by plant diversity in intensively managed grasslands: A continental‐scale experiment

Abstract Grassland diversity can support sustainable intensification of grassland production through increased yields, reduced inputs and limited weed invasion. We report the effects of diversity on weed suppression from 3 years of a 31‐site continental‐scale field experiment. At each site, 15 grassland communities comprising four monocultures and 11 four‐species mixtures based on a wide range of species' proportions were sown at two densities and managed by cutting. Forage species were selected according to two crossed functional traits, “method of nitrogen acquisition” and “pattern of temporal development”. Across sites, years and sown densities, annual weed biomass in mixtures and monocultures was 0.5 and 2.0 t DM ha−1 (7% and 33% of total biomass respectively). Over 95% of mixtures had weed biomass lower than the average of monocultures, and in two‐thirds of cases, lower than in the most suppressive monoculture (transgressive suppression). Suppression was significantly transgressive for 58% of site‐years. Transgressive suppression by mixtures was maintained across years, independent of site productivity. Based on models, average weed biomass in mixture over the whole experiment was 52% less (95% confidence interval: 30%–75%) than in the most suppressive monoculture. Transgressive suppression of weed biomass was significant at each year across all mixtures and for each mixture. Weed biomass was consistently low across all mixtures and years and was in some cases significantly but not largely different from that in the equiproportional mixture. The average variability (standard deviation) of annual weed biomass within a site was much lower for mixtures (0.42) than for monocultures (1.77). Synthesis and applications. Weed invasion can be diminished through a combination of forage species selected for complementarity and persistence traits in systems designed to reduce reliance on fertiliser nitrogen. In this study, effects of diversity on weed suppression were consistently strong across mixtures varying widely in species' proportions and over time. The level of weed biomass did not vary greatly across mixtures varying widely in proportions of sown species. These diversity benefits in intensively managed grasslands are relevant for the sustainable intensification of agriculture and, importantly, are achievable through practical farm‐scale actions.


| INTRODUCTION
Agroecosystems are challenged to increase agricultural production to meet an increased demand for food production (Lüscher, Mueller-Harvey, Soussana, Rees, & Peyraud, 2014) while preserving environmental functions and adapting to climate change (Tubiello, Soussana, & Howden, 2007). Increased efficiency (e.g. "getting more from less") in the use of natural resources will underpin sustainable intensification of food production (Godfray et al., 2010). Plant diversity potentially provides a substitute for many costly agricultural inputs (Isbell et al., 2017). Weed growth represents a major source of inefficiency, diverting scarce resources (nutrients, water, light and labour) and results in about one-third of yield losses in major crops (Oerke & Dehne, 2004). Weed control also diverts scarce resources, and herbicides incur significant environmental and economic costs.
In pastures, weeds can impair forage quantity and quality resulting in reduced animal production, and increases the need for reseeding with its consequent costs. Here, we focus on weed control as an important objective in the design of a sustainable grassland agroecosystem.
Agroecosystems involve management practices that ultimately aim to control the utilisation of water, nutrients and light and a key question is: can management of species diversity enhance weed control? Empirically, increased species diversity in grassland communities is consistently associated with much lower weed biomass (e.g. Maron & Marler, 2008;Sanderson, Brink, Stout, & Leah, 2013). In general, increased species diversity is expected to reduce the availability of resources to weeds through a more complete use of resources by resident species (Renne, Tracy, & Colonna, 2006). Several other factors have been associated with negative effects of increased grassland diversity on weed biomass, e.g. identity effects (Crawley, Brown, Heard, & Edwards, 1999), niche pre-emption (Mwangi et al., 2007), richness and functional group composition of mixtures (Byun, Blois, & Brisson, 2013), resident root mass and soil nitrate concentrations (Fargione & Tilman, 2005), increased crowding and species richness in localised plant neighbourhoods (Kennedy et al., 2002). Exceptions also occur where diversity is not associated with decreased weed invasion, measured either as richness (Smith, Wilcox, Kelly, & Knapp, 2004) or evenness (Emery & Gross, 2007). Most of these examples are typically from manipulations of species richness in semi-natural grasslands; nevertheless, diversity CGL2013-49142-C2-1-R; Ministry of the Environment, Grant/Award Number: 209/ PC08/3-08.2; Science Foundation Ireland, Grant/Award Number: 09/RFP/EOB2546; EU FP7, Grant/Award Number: 266018.
Handling Editor: Inderjit 3. Across sites, years and sown densities, annual weed biomass in mixtures and monocultures was 0.5 and 2.0 t DM ha −1 (7% and 33% of total biomass respectively). Over 95% of mixtures had weed biomass lower than the average of monocultures, and in twothirds of cases, lower than in the most suppressive monoculture (transgressive suppression). Suppression was significantly transgressive for 58% of site-years. Transgressive suppression by mixtures was maintained across years, independent of site productivity.
4. Based on models, average weed biomass in mixture over the whole experiment was 52% less (95% confidence interval: 30%-75%) than in the most suppressive monoculture. Transgressive suppression of weed biomass was significant at each year across all mixtures and for each mixture. 5. Weed biomass was consistently low across all mixtures and years and was in some cases significantly but not largely different from that in the equiproportional mixture. The average variability (standard deviation) of annual weed biomass within a site was much lower for mixtures (0.42) than for monocultures (1.77).
6. Synthesis and applications. Weed invasion can be diminished through a combination of forage species selected for complementarity and persistence traits in systems designed to reduce reliance on fertiliser nitrogen. In this study, effects of diversity on weed suppression were consistently strong across mixtures varying widely in species' proportions and over time. The level of weed biomass did not vary greatly across mixtures varying widely in proportions of sown species. These diversity benefits in intensively managed grasslands are relevant for the sustainable intensification of agriculture and, importantly, are achievable through practical farm-scale actions.

K E Y W O R D S
agro-ecology, evenness, forage swards, functional diversity, generalised diversity-interactions, legume-grass, nitrogen acquisition, sustainable agriculture, temporal development, transgressive weed suppression effects (DEs) on weeds have been reported in more intensively managed grasslands Frankow-Lindberg, 2012;Sanderson, Brink, Ruth, & Stout, 2012). However, given the widespread distribution of intensively managed grasslands, the topic of weed invasion in these systems needs wider investigation of the impact of diversity (species identity, sown richness and sown species' relative abundance) and how outcomes generalise across environments and over time.
Some species or combinations of species can be particularly effective at suppressing weed biomass .
Membership of a particular plant functional group (Fargione, Brown, & Tilman, 2003;Prieur-Richard, Lavorel, Dos Santos, & Grigulis, 2002) or the presence of specific plant functional traits (Goslee, Veith, Skinner, & Comas, 2013) may improve the capacity of a community to resist invasion by weed species. This strongly suggests that to enhance ecosystem function in a multi-species community, the targeted selection of species to include specific traits or to maximise trait diversity may be as, if not more, important than species richness per se . Specific traits that are expected to be important (in both yield production and weed suppression) include: (1) high yield potential, (2) capacity to achieve complementarity in nitrogen acquisition and utilisation (Nyfeler, Huguenin-Elie, Suter, Frossard, & Lüscher, 2011) and (3) temporal differences in the development of species to improve early establishment (Tracy & Sanderson, 2004) and maintain interspecific interactions over time (Husse, Huguenin-Elie, Buchmann, & Lüscher, 2016).
Legume-based grasslands offer numerous agronomic and environmental advantages (Lüscher et al., 2014). In multi-species mixtures that include legumes, nitrogen (N) resources are more efficiently used  and yield can be increased Nyfeler et al., 2009). This is due to complementary acquisition of N sources (access to atmospheric N 2 through biological fixation as well as available soil N) and to a lesser extent facilitation through N transfer from legumes to non-legume species (Nyfeler et al., 2011). Ideally, a designed agro-ecological system should also provide persistent and consistent weed suppression over temporal and spatial scales, over diversity gradients, and should be easily implemented at farm scale.
Weed suppression would ideally be transgressive, i.e. weed biomass in mixture should be lower than in the most suppressive monoculture.
Previously, Finn et al. (2013) reported the results from 3 years of a 31-site field experiment (Kirwan et al., 2014) that used four grassland species varying in two main traits, N acquisition and pattern of temporal development. They showed that total and sown species above-ground biomass for four-species mixtures were greater than in monocultures and summarised the value of mixtures in suppressing weeds compared with the average and best monoculture. Here, we analyse weed biomass from the same experiment in detail; we compare the effectiveness of sown species with different functional traits in weed biomass suppression in mixture compared to in monoculture; we explore the variation in weed suppression in mixtures across a range of sown evenness and along varying levels of functional traits in the mixtures. We note that exotic species were not a problem in monoculture or mixture at any of the sites. Using data from the 31-site Agrodiversity field experiment (Kirwan et al., 2014), we address the following main questions, generalising across years and sites where possible: 1. Do grassland species in monoculture differ in their suppression of weed biomass?

3.
To what extent is weed suppression in mixtures affected by differences in species' relative abundance?

Is weed biomass less variable in mixtures than in monocultures?
We show that four-species grass-legume communities using species selected on the basis of functional traits "method of nitrogen acquisition" and "pattern of temporal development" can control weed biomass better than monocultures. Across 31 sites, weed biomass in mixtures was generally much lower than in monoculture communities for each of 3 years.
On average, weed biomass in mixture was reduced by 52% relative to weed biomass in the most suppressive monoculture. On average, weed biomass in mixtures was maintained at relatively low levels across a range of mixtures varying considerably in sown evenness and across time.

| Experimental design
At each of 31 sites (30 European and 1 Canadian), 15 grassland communities comprising 4 monocultures and 11 four-species mixtures of four forage species were sown at two seed densities (Table S1.1 in Appendix S1; Kirwan et al. (2014) for full details of species used, sowing and management). There were 30 experimental plots per site, and data from 930 plots were analysed.
The four species selected at each site represent four distinct functional types based on combining two functional traits, "method of nitrogen acquisition" (Nyfeler et al., 2011) and "pattern of temporal development" . Functional types were: fastestablishing, N 2 -fixing legume (L F ); fast-establishing, non-N 2 -fixing grass (G F ); temporally persistent, N 2 -fixing legume (L P ); and temporally persistent, non-N 2 -fixing grass (G P ). A total of 11 locally adapted species represented the functional types across all 31 sites (Table   S1.2 in Appendix S1). At a site, the four monocultures consisted of one of each of G F , G P , L F or L P , and 11 mixtures were established by systematically varying sown species' proportions of these four species (Table S1.2 in Appendix S1). This resulted in four mixed communities dominated in turn by each species (sown 70% of one species and 10% of each of the other three species), six communities dominated in turn by pairs of species (40% of each species in the pair and 10% of each of the other two species), and an equiproportional community with 25% of each species. All 15 communities were sown at two densities; the high level was determined by local practice at the site and the low level was 60% of the high level. During the years of the experiments, plots were not weeded. The first year of data analysed was based on the first whole production year after the year of sowing. The biomass (t DM ha −1 ) of each sown species and weeds was calculated annually for each plot. In monocultures, biomass from species in the sown species pool other than the sown monoculture was included in weed biomass. Plots were surrounded by guard rows to inhibit invasion from adjacent plots (Kirwan et al., 2014). In some of our systems, we can find both exotic and non-exotic invaders. However, the identification and quantification of individual invading species was not part of our study and therefore no precise reference to "exotic" can be made.

| Analysis
We first summarised information on the proportion and biomass of weeds in mixtures and monocultures for each of 3 years and on average across years, and the extent of weed suppression in mixture compared with monocultures. At each site, we tested for transgressive suppression (Question 2) using a permutation test (Kirwan et al., 2007). To address Questions 1-4, we used the models below.

| Modelling weed suppression
For Questions 1-3, we used the generalised diversity-interactions (GDI) modelling approach . A model of weed biomass (y) in a community for a particular site and year is (Appendix S2.1): F I G U R E 1 Annual weed biomass and sown species biomass (t DM ha −1 ) for each mixture (1-11 ordered according to Table S1.2 in Appendix S1) and for each monoculture (G F , G P , L F and L P ) for each of 3 years; (a) raw weed biomass averaged over sown densities and sites, (b) weed biomass values predicted from model M1 and (c) raw sown biomass averaged over sown densities and sites Community Sown species biomass (t DM ha -1 ) G F G P L F L P Here P i is the sown proportion of the ith species in the community (where P i = 0 if the species is not included) and A is density (A = 0 for low and 1 for high density). β i is the expected weed biomass of the monoculture of the ith species (P i = 1) at the low level of sown density and α is the effect of density. In mixtures, gives the expected weed biomass in mixture ( (Pawitan, 2001) and all other fixed and random coefficients in M1 were estimated using a random coefficients (random across sites) mixed models maximum likelihood procedure with repeated measures analysis across years (Verbeke & Molenberghs, 2000). Various hypotheses were tested using predictions from the model and t, Wald and chi-squared tests.

| Modelling weed biomass variation within a site
To address Question 4, we conducted a separate repeated measures analysis with community and site fixed to provide an estimate of the within-site standard deviation of response for each community (see Table S2.4 in Appendix S2.2).
Analyses were mainly carried out using sas/stat software (9.3; SAS Institute Inc., Cary, NC, USA) and r (R Core Team, 2014).

| Weed suppression varied among monocultures
There were marked differences between monocultures in weed suppression which changed across time (Question 1). In the first year after sowing (Year 1), annual weed biomass in monocultures (predicted from model) of the fast-establishing grass G F at average density (0.78 t DM ha −1 ) was less than that of the temporally persistent grass G P (1.19 t DM ha −1 ; p = .005) but greater in the third year (p = .007; Table 1, Figure 2). While annual weed biomass for the temporally persistent grass (G P ) monoculture did not vary significantly over years, the G F monoculture had greater annual weed biomass in later years

| Transgressive weed suppression strong in mixtures
Across 31 sites and 3 years, predicted average weed biomass across all grass-legume mixtures (based on estimates of model M1 in Table 1) was 52% less than in G P , the most suppressive monoculture across years and sites (95% confidence interval: 30%-75% less). All mixtures showed transgressive suppression of weed biomass (p < .05) for each year of the experiment (Figure 1b (Table 2). Average weed proportion of total biomass was about 0.07 for mixtures and 0.33 for monocultures (Table 2). Across all years, weed biomass in mixture at a site was 25% of that in the average β i P i +αA +δE θ +δ L L a E θ +δ P P a E θ +ε monoculture and 75% of that in the most suppressive monoculture for the site. Across years and sites virtually every mixture had a lower average weed biomass than the average of all sown monocultures (Table 3), and also when averaged over sites and years ( Figure 1a).
The reduction of weed biomass in mixtures was significantly transgressive in most sites and persisted across years (Table 3, Figure 3 and Figures S1.2 and S1.3 in Appendix S1). This result was independent of site productivity (Figure 3), which differed considerably between sites, with average annual total biomass ranging from about 3 to 18 t DM ha −1 year −1 .
Transgressive suppression occurred along the G-L and F-P axes and the low level of weed biomass along these axes did not differ across years (Question 2). Weed biomass was predicted for four

| Level of weed biomass consistently low across mixtures
The model showed that there were significant differences in weed biomass among the 11 mixtures, and several mixtures differed significantly from the equiproportional mixture in each year and overall.
Yet the differences were not so great as to change the results relative to any monoculture. Relative to the equiproportional mixture as 100, the highest and lowest levels of weed biomass across all 11 mixtures were (highest, lowest), for years 1-3, (117, 91), (127, 75) and (141,72) and overall (122, 81). Some patterns were evident in the differences among mixtures. Weed biomass was lower for communities dominated by grasses as opposed to legumes for each year, significantly so in year 1 (Figure 3a). Weed biomass was the same (year 1) or lower (p < .01, years 2 and 3) for communities dominated by persistent as opposed to fast-establishing species (Figure 3b). In no case was there a significant difference between years for predictions along the G-L or the F-P axes (Figure 2).

| Plot level variability of weed biomass lower in mixtures
Not only was weed biomass much lower in mixtures but it was also much less variable. The estimated standard deviation (SD in t DM ha −1 ) of weed biomass for a plot within a site was, on average, lower (p < .0001) in mixtures (0.416) than in monocultures (1.770) ( Figure 4, Table S2.4 in Appendix S2.2).

| Generalised diversity-interactions model
Model M1 fit the data very well (Figure 1b, Figure S2.2 in Appendix S2.1) and, in particular, showed the surprisingly flat patterns of weed biomass in mixtures apparent in the raw data ( Figure 1a). Across all sites there were 11 species representing the four functional types (G F , G P , L F and L P ); however, model M1 with identity effects for four functional types fitted as well as a model with separate identity effects of the 11 species (see Table 2.3 in Appendix S2.1).
Several other additional fixed terms examined did not add significantly to model M1 (Table S2.3 in Appendix S2.1). Thus, the GDI modelling approach  provided an appropriate framework within which weed biomass could be predicted for specified proportions of constituent functional types and hypotheses could be tested.

| Diversity enhanced weed suppression in grassland swards
Across 31 sites and 3 years, average weed biomass across all grass-legume mixtures was 52% less than in the most suppressive monoculture (95% confidence interval: 30%-75% less). Significant transgressive suppression of weeds was found in all mixtures. Weed T A B L E 1 The analysis of annual weed biomass for the first 3 years after sowing using model M1. Shown are estimates of coefficients (t DM ha −1 ), their standard errors (SE) and significance. The estimate of θ was 0.03 (p < .0001 compared with 1,

| Enhanced resource acquisition by mixtures largely explains weed suppression in mixtures vs. monocultures
In general, more diverse grasslands produce greater total and sown biomass as a consequence of diversity-dependent processes that promote resource acquisition by the sward. A key question is whether increased acquisition of resources by grassland mixtures leads to reduced resource availability for weed growth. The extent of weed suppression can increase or decrease depending on whether dominant resident species either create a more competitive environment or alleviate stressful conditions for invaders (Smith et al., 2004). Our mixtures produced considerably more biomass than monocultures , and higher biomass production could be attributed to complementarity in functional traits leading to increased acquisition of resources (Hoekstra, Suter, Finn, Husse, & Lüscher, 2015;Suter et al., 2015). Taking biomass as a proxy for resource acquisition (in the absence of uptake studies), reduced weed biomass in mixtures implies that less resources were acquired by weeds in mixture than in monoculture, suggesting that this was a direct consequence of higher resource acquisition by sown species in mixtures. Despite the caveat that positive effects of diversity on total biomass can make it difficult to disentangle mechanisms leading to weed suppression (Tracy & Sanderson, 2004), we feel that it is useful to explore some mechanisms.
Given that N is often the most limiting resource in mesic grasslands, N acquisition may have an especially important influence on yields in most of our sites. Differences in N acquisition between monocultures and mixtures can affect soil N availability (as well as other resources; Hoekstra et al., 2015), with corresponding effects on weed biomass. For example, legume monocultures are prone to being invaded (Mwangi et al., 2007;Prieur-Richard et al., 2002), partly by increasing N availability to invaders; in contrast, grass monocultures are generally more resistant to weed invasion (Mwangi et al., 2007), most probably related to their much bigger root mass (Hofer, Suter, Buchmann, & Lüscher, 2017) and stronger depletion of plant-available soil N (Fargione et al., 2003;Hofer et al., 2017;Nyfeler et al., 2011). This is consistent with our results showing a greater weed biomass in the legume monocultures than in the grass monocultures. In contrast to grass monocultures, grass-legume mixtures have access to atmospheric N, which leads to greater sown biomass (Figure 1c; Lüscher et al., 2014;Suter et al., 2015). However, at levels of N fertiliser comparable to those used in our study, many grass-legume mixtures depleted the soil N as much or more than the grass monocultures (Nyfeler et al., 2011) and thus no facilitation of weed growth through the presence of N 2 -fixing legumes in grass-legume mixtures must be inferred, in contrast to legume monocultures. In addition to this strong role of N, more effective capture of light in mixtures than monocultures has been suggested as an important mechanism for weed suppression (Frankow-Lindberg, 2012;Renne et al., 2006;Sanderson et al., 2012). Husse et al. (2016) showed that intensively managed monoculture or mixed grassland communities with >1.5 t DM ha −1 of yield per harvest captured >95% of incident light, leaving negligible light available at ground level for weed development. Yet, in less productive swards with less developed canopies, increased penetration of light could promote weed development at ground level. In our experiment, productivity varied considerably across sites  but on average the sown biomass per harvest of most mixtures and many monocultures exceeded 1.5 t ha −1 .
Therefore, in our productive swards, it is unlikely that light plays the key role in explaining transgressive suppression by mixtures; nitrogen acquisition and utilisation in swards are likely to be more dominant factors.
Although we explore the potential roles of N and light in understanding the suppressive effects of diversity on weeds, this does not necessarily exclude other mechanisms, e.g. weed species identity (Roscher, Temperton, Buchmann, & Schulze, 2009).

| Weed biomass did not vary greatly across mixtures
The relatively small change in weed biomass across 11 mixtures, or when compared with the equiproportional mixture, is remarkable (Question 3, Figure 1b). Despite significant patterns in weed biomass among the mixtures, e.g. increasing suppression with increasing relative abundance in sown proportions of persistent species or grasses, the overall impression of these analyses is that weed biomass in mixture is reasonably robust to changes in species' relative proportions.
F I G U R E 3 Levels of weed suppression and transgressive suppression by mixtures. Shown for each mixture and site is the natural log of the ratio of weed proportion in each mixture to weed proportion in the most suppressive monoculture on average across all years at the site ( ). Each point represents one of the 11 mixtures and points below zero represent mixtures with lower weed proportion than the most suppressive monoculture (transgressive suppression). Sites are ordered by increasing average site productivity (see right-hand axis). Significance of transgressive suppression at the 5% level (permutation test Kirwan et al., 2007) within a site is indicated by an asterisk. For each site log(average monoculture weed biomass relative to the weed biomass in the most suppressive monoculture) is also shown ( ) and each mixture ( ) below ( ) indicates weed suppression. (See Figure S1 in Appendix for a similar figure for each year). Values are averaged over two sown densities [Colour figure can be viewed at wileyonlinelibrary.com] T A B L E 2 Total annual biomass, annual weed biomass (both in t DM ha −1 ) and average weed proportion a for mixtures and monocultures. Values are based on raw data averaged over the two sown densities and then averaged over sites for each year in the experiment This is important for theoretical and practical reasons. Any expectation that decreasing evenness might lead to a notable decline in weed biomass, and thence to a reduced suppressive effect relative to monocultures, was not realised here. The endpoints of the G-L and F-P gradients in Figure 2a,b, along which predictions of weed biomass were made, represent four mixtures used in the design, each of which contains 80% at sowing of grass, legume, fast-establishing or persistent species, respectively. Each of these four mixtures were strongly suppressive relative to the closest monoculture species in the design.
The suppressive effect of all mixtures relative to monoculture G P (the measure of transgressive suppression here) remains roughly constant across time (Fig. 1b) but increases relative to all other monoculture species with time, mainly due to increased weed biomass in those monoculture species (see also Roscher et al., 2009). This shows that changing evenness is not a hugely influential force in these systems, either in respect of weed biomass relative to the equiproportional mixture or in respect of monocultures.
From an agronomic viewpoint, this relative unimportance of evenness in affecting weed biomass across mixtures means that there is no need to be over-concerned with maintaining close limits on the relative abundance of species in the mixture; the desired outcome appears to be guaranteed irrespective of sown species' relative proportions. Indeed there is evidence that mixtures appear to be robust over time to some extreme changes in species' relative abundances; elsewhere we found apparent legacy effects of legumes in this experiment (Brophy et al., 2017).
We suggest that the mechanisms behind the relatively flat sown biomass response across mixtures and time are, as in the previous section on transgressive suppression, largely based on the process of N acquisition in grass-legume mixtures (Nyfeler et al., 2011). Differential light use by communities is even less likely to be a factor affecting weed biomass when we consider only mixtures. Our use of combinations of fast-establishing and temporally persistent species was intended to maximise the interception of light in mixtures through quick gap-filling during establishment of the grassland canopy and maintaining a largely closed canopy through its subsequent development. This light interception at all stages of growth ensured that for our productive mixtures, light was unlikely to contribute to variation in weed biomass across mixtures.

| Agronomic relevance
We show that under a cutting management, weed invasion in grassland swards can be diminished through combining agronomic species selected for complementary traits regarding N acquisition and yield persistence in systems designed to reduce reliance on fertiliser N. Mixtures had consistently lower and less variable levels of weed biomass compared with monocultures across time, irrespective of species' proportions in the mixtures. Thus, grassland mixtures can sustain increased productivity  and persistently reduce weed biomass without being over-concerned T A B L E 3 Weed suppression in mixtures and sites. (a) Percentage of all mixtures across sites in which the weed biomass was lower than in the average monoculture (suppression) and than in the monoculture with lowest weed biomass at the site (transgressive suppression) for each of 3 years after sowing and averaged across years. (b) The number of sites showing suppression and significant transgressive suppression of weeds by mixtures (as measured by weed biomass) is shown for each year and across all years (using the nonparametric test in Kirwan et al. 2007). Results are based on raw data averaged over two sown densities at each site. See also Figure 3 and Figure S1.3 in Appendix S1 Year of harvest (number of sites) F I G U R E 4 Standard deviation (SD) of annual weed biomass for a plot of each sown community for each of 3 years (estimate of within-site replicate variation aggregated over sites). Community 5 is the equiproportional community and G F , G P , L F and L P are the monocultures Year 1 Year 2 Year 3 G F G P L F L P to manage the evenness of the species in the mixture. Furthermore, these results broadly apply across the continental span of our sites, which vary widely in agronomic conditions: annual rainfall (409-1,500 mm), annual mean air temperature (1.6-16.2°C) and annual applied N (0-150 kg/ha). These benefits provide further evidence for the multifunctional advantages of agronomic systems based on planned diversity (Dooley et al., 2015;Gaba et al., 2015;Lüscher et al., 2014).