Author Correction: Pollinator importance networks illustrate the crucial value of bees in a highly speciose plant community

An amendment to this paper has been published and can be accessed via a link at the top of the paper.

Biodiversity comprises both the species richness of a habitat and the interactions occurring between species. These interactions are even more vulnerable to change than the species themselves 1, 2 and their loss may lead to failure of ecosystem function 3 . To understand how robust these interactions are to change and the likely outcome under altered conditions, it is essential that we attempt to measure the strength of those interactions; at the community scale, this may be challenging. For pollination biologists, understanding the quality of interactions between flower visitors and plants involves measuring the nature of the visits that take place to learn about resource rewards for visitors (e.g. ref. 4) and pollination services for plants (e.g. ref. 5) in the context of the community ecology. To improve the accuracy of pollinator performance estimates Ballantyne et al. 6 constructed the first community interaction network that incorporates both visitation frequency to flowers and pollinator effectiveness (single visit pollen deposition onto stigmas) of those visitors into a more accurate measure, termed 'pollinator importance' (the potential importance of the visitor for the plant). Here we study pollinator importance in a Mediterranean flower meadow, with high plant and pollinator species richness, to test the limitations of such community-wide measurements and investigate visitor performance at the species and community levels (we hereafter use "performance" as a general term referring to likely pollination service provided, as measured at the point of the visit, sensu Ne' eman et al. 7 ).
Assessing the value of flower visitors to plants involves analysing behaviour at different scales, from visitation frequency, to ability to pick up pollen (pollen export capacity), and to deposit viable pollen on conspecific stigmas (quality of pollen deposition). It has been suggested that, due to the high variance in visitation frequency, the number of visits a flower receives from a given pollinator provides the most informative measure of its performance (e.g. ref. 8). Indeed, Vázquez et al. 9 found that interaction frequency was a good predictor of interaction strength as measured by pollen tube growth in four arid shrubland species. However, for many plant species there is also high variance in potential pollination success due to the amount of pollen deposited 6 or the quality of that pollen deposited 10 . Conclusions regarding the pollination specialisation of a plant community may be greatly 1. How well does visitation frequency predict pollinator effectiveness in a diverse plant community? A strong correlation between the measures in such a large dataset could support the general use of visitation frequency as a proxy for pollinator performance. 2. Which visitor groups are the most effective potential pollinators? Bees are likely to be the most effective for the majority of flower types 5 , but floral morphology will play a role in dictating which bees are best for particular plant species, due to matches of corolla shape and size with visitor body size and tongue length. 3. How do pollinator importance networks compare with visitation networks in a highly diverse habitat?
We expect interactions in pollinator importance networks to be more specialised (H2′) and to show lower nestedness (weighted NODF, a metric describing link patterns at the community level, which may inform about network dynamics and breakdown patterns 15 ), compared to visitation networks. 4. How do estimates of species level metrics, such as specialisation and contribution of service (pollen deposition or provision of resources) to the other trophic level, relate to plant and visitor morphological traits? Extremes of flower and visitor morphology, such as stigma accessibility or tongue length, are expected to correlate positively with high species-level specialisation 16 .

Results
Floral visitation and pollinator effectiveness. We observed 2270 insect visits to 23 plant species from 14 families over the study period (plant species in Table 1, visitor species identified in Supplementary Table S1). These comprised 179 unique interactions between plant species and visitor groups, 149 of which resulted in pollen deposition (Supplementary Table S3a). The most frequent visitor group to individual plant species was the most effective at depositing pollen (PE) in only 5 of the 23 species (Echium judaeum, Linum pubescens, Prasium majus, Ruta chalepensis and Salvia fruticosa). However, the most frequent visitor group had the highest pollinator importance (PI) in 16 species, (perhaps unsurprising since PI also incorporates visit frequency). Visitation frequency was, as predicted, positively correlated with PE for all visitor categories combined (rho = 0.389, p < 0.001). However, for individual visitor groups frequency was only significantly, or marginally significantly, positively correlated with pollinator effectiveness for Andrena (rho = 0.496, p = 0.051) and syrphids (rho = 0.783, p < 0.005), although syrphids were relatively infrequent visitors and deposited less pollen in comparison with bees or bombyliids (see Supplementary Table S4).

Pollinator effectiveness of visitor groups to individual plant species.
Hurdle models of pollen deposition by visitor groups to individual plant species that took into account the influence of time of day and length of visit ( Fig. 1; Supplementary Table S5) showed that pollen-collecting bees were the most effective visitors to plant species in the community (predicted pollen counts were a good match for observed pollen deposition, Supplementary Fig. S1). Lasioglossum bees (the majority being Lasioglossum marginatum) deposited significantly more pollen than control levels onto seven out of the twelve species they visited frequently, all of which were species with easily accessible stigmas and floral resources. Apis, Andrena and Osmiini bees were regularly effective visitors both to species with easily accessible and harder to access floral rewards, with Apis being significantly effective visitors to 8 out of 12 frequently-visited plant species, Andrena to 7 out of 9 and Osmiini to 6 out of 7. Anthophora bees were not as effective for the species they visited, only contributing effective visits to 3 out of 7 species; this might be due to the high proportion of males observed earlier in the season, visiting very quickly and only for nectar.
The most effective non-bee visitors were bombyliid and syrphid flies, which deposited significant amounts of pollen during visits to some plant species. Syrphids, however, were common visitors but rather poor pollinators for Cistus salvifolius, as they deposited significantly less pollen than found on control flowers, possibly due to their habit of eating pollen already deposited on the tops of the large accessible stigmas of this species.
The specialised bees Xylocopa, Synhalonia and Trachusa were less important at the community level as they visited a small number of plant species, although they did deposit significant amounts of pollen on these. The only bees that were never effective flower visitors were small, smooth-bodied Hylaeus species (Colletidae) that collect pollen in their internal crop. Beetles, other flies and Vanessa butterflies also never deposited significant amounts of pollen.
SciENtific REPORts | 7: 8389 | DOI:10.1038/s41598-017-08798-x At the community level pollen deposition showed no relationship with time of day (rho = 0.004, p = 0.866), but did peak around 10:30, coinciding with the peak of pollen presentation (Fig. 2a). The hurdle models showed that significantly more pollen was deposited on stigmas as the day progressed for Hirschfeldia incana, Salvia fruticosa, Tordylium carmeli, Centaurea cyanoides, Stachys neurocalycina and Cistus salvifolius, while significantly less pollen was deposited on Allium trifoliatum later in the day as anthers that dehisced in the morning were quickly depleted of pollen ( Fig. 2; Supplementary Table S5). Length of visit was only a significant predictor of pollen deposition for the labiate Salvia fruticosa and the umbellifer Tordylium carmeli.
Community-level network analysis. All networks were more specialised than null model predictions (with significantly higher values of H 2 ′). Both V and PI networks were less nested than null model predictions (with significantly lower values of weighted NODF). Observed numbers of interaction partners were also lower than model predictions (significantly lower plant and visitor generality) and interactions were less connected and less uniformly distributed (significantly lower connectance and evenness). Full details of null model predictions and z-scores can be found in Supplementary Table S6.
Network level metrics ( Table 2) show that the visitation (V) network interactions were moderately specialised, falling in the middle of the range with an H 2 ′ of 0.55 (and an identical null model corrected value), and a relatively low level of nestedness of 24.6% (corrected value −18.65). As predicted, the interactions in the PI network were more specialised (H 2 ′ = 0.62; corrected value 0.61). However, while nestedness was slightly lower in the PI network (21.6%), after correction with null model values it is, in fact, slightly more nested (corrected weighted NODF value −17.38) than the V network. Visitor and plant generality were also lower in the PI network compared to the visitation network, since interactions where no pollen is deposited are excluded from the network ( Table 2). There was little difference in link evenness between the two networks, with a similar range of weak and strong links (Table 2, Fig. 3). The PE network had the lowest H 2 ′ value (0.51; corrected value 0.50) and the highest corrected nestedness (7.07, which was not significantly different from null model predictions).
Comparisons of network level metrics across the network types were consistent across the different datasets; H 2 ′ was consistently higher in the PI network when (i) small sample sizes where visitor groups contributed fewer than 5 visits to one plant species were removed from the dataset, (ii) visitor groups were reclassified to a more precise taxonomic resolution (using pollen deposition data shown in Supplementary Table S3b) and (iii) the network was divided into early and late season plant species (Table 2), despite the composition of visitor groups changing over the course of the season, with Eucera bees, for example, playing a greater role early in the season, and various Osmiini being more important later in the season. However, the exact effectiveness values for different visitors in the case of (ii) and (iii) should be treated with some caution as the splitting of the data results in some low sample sizes.  Table 1. Plant study species, classified according to flowering season (early = early Feb to mid-March, late = mid-March to late April), nights bagged before observation (*Moraea sisyrinchium opens at midday and so bagging was unnecessary), stigma and reward accessibility (restricted access = 1, open access = 5), stigma and pollen size (small = 1, large = 5) and sample size.
When only visitor groups that deposit significantly more pollen onto flowers compared to controls were included in PE and PI networks (a stricter definition of what might be considered an effective pollinator), both were more specialised than the visitation network (corrected H 2 ′ = 0.77 and 0.81 respectively).
Species/group-level metrics and morphological traits. Several morphological traits were correlated with species and group-level metrics ( Fig. 4; species-level metrics Supplementary Table S7). Visitor tongue length was significantly correlated with d′ (rho = 0.637, p < 0.001; Fig. 4g), suggesting that visitor groups with shorter tongues were more generalised in their flower preferences. Tongue length was weakly correlated with species strength (rho = 0.497, p = 0.009; Fig. 4h). As larger visitors typically have longer tongues, a significant positive relationship also occurred between visitor body size and d′ (rho = 0.536, p = 0.003; Fig. 4f), but body size was not itself correlated with species strength (rho = 0.08, p = 0.7; Fig. 4f). Stigma size was positively related to species strength (rho = 0.479, p = 0.021; Fig. 4d), possibly because visitors to larger flowers with larger stigmas were more Figure 1. Community interaction matrix of visits to target plant species by visitor groups and the influence of covariates time of day and length of visit. Unique interactions are coloured to represent the following criteria from the hurdle model: fewer than five visits recorded and so not used in the analysis; no significant pollen deposition relative to controls, significantly higher likelihood of pollen deposition relative to controls; when pollen deposition occurs there is significantly more than controls; both of the latter categories. Significance was recorded at the p < 0.05 level. Stigma access is indicated by the accessibility of the inner joint of the line diagram by each plant name. Visitor genera identified by family: Coleoptera (C), Diptera (D), Hymenoptera (H) and Lepidoptera (L).  dependent on these plant species for resources than visitors to smaller flowers which tended to visit a wider range of species. No significant relationships were found between the other variables shown in Fig. 4, or between pollen size and any network metric, or between weighted closeness centrality and any plant or visitor trait.

Discussion
Measures of pollinator performance. These first pollinator importance data from a highly diverse plant and insect community confirm the prediction that interactions are more specialised when link weightings take pollen deposition into account. This change may be small at the community level, for reasons discussed below. However, our analysis of visitors' pollen deposition ability to a wide range of plant species shows that pollinator importance data provide valuable information on individual species interactions in terms of pollen deposition ability and species level metrics of plant specialisation and visitor contribution. Our data also confirm that visitation frequency may act as a reasonable proxy for pollinator importance at the community level (building on the findings of Vázquez et al. 9 ), but remains a poor predictor for pollen deposition ability for most visitor groups. We also demonstrate that collection of data on potential pollinator importance is feasible for interactions with common plants within a diverse community. Both measures of pollinator performance (visitation and pollen deposition) were heavily dominated by bee species, as would be expected in a Mediterranean floral meadow with high densities of these pollen collecting insects. Small Lasioglossum bees had higher pollinator importance scores than all other visitors when visiting open flowers with accessible rewards, with Apis, Andrena and Osmiini also important visitors for many plant species of varying floral morphologies. The large specialist Xylocopa and Synhalonia bees performed extremely well at the few plant species that they visited.
Most non-bee groups appeared to be relatively ineffective pollinators for the plants we sampled, with low rates of both visitation and pollen deposition (cf ref. 17). The only exceptions were bombyliid flies, which our data suggest were important pollinators for several plant species. Usia spp. in particular are specialised pollinators of Linum pubescens 18 and this was reflected in both visitation frequency and pollen deposition for this plant. Despite having an almost identical floral structure and phenology to the more broadly attractive Convolvulus coelesyriacus, L. pubescens was almost totally avoided by pollen-collecting bees, indicating potential scent and/or nutritional specialisation through the use of secondary compounds. Syrphids were generally ineffective at depositing pollen on any plant species, but most syrphid visitors recorded were from small-or medium-sized species, and larger eristaline syrphids may be more effective when present in greater numbers as they are certainly effective at depositing pollen onto other plant species 19,20 . Medium sized syrphids, especially Episyrphus balteatus, are also known to be effective pollinators in other situations (e.g. ref. 21).
Coleoptera had both low visitation frequency and low pollen deposition scores, resulting in very poor pollinator importance. They may however, be over-represented in traditional floral transect surveys (Ballantyne, unpublished data) as they spend long periods on individual flowers, rarely move between flowers, and are also less likely to be disturbed by a moving observer than other floral visitors such as hoverflies or hawkmoths, making them more likely to be counted in such surveys.
Visitation frequencies were positively correlated with pollen deposition in our study, supporting the general findings of Vázquez et al. 8 that visitation can act as a surrogate for pollinator performance. This was mainly due to the dominance of bees at this site, which were frequent visitors and deposited large quantities of pollen, resulting in high pollination importance scores, as would be expected for visitors that actively collect pollen and whose face hairiness is positively correlated with pollen deposition 22 . While this correlation between visitation and pollen deposition was found at the community level, it rarely applied to individual visitor groups. Some frequent visitors were poor pollen depositors as they only collected nectar from the flowers and/or were poor morphological matches with the flowers (e.g. male Anthophora bees visiting Asphodelus aestivus or Diptera visiting Tordilium carmeli), a situation detected in numerous studies of single plant species (e.g. refs 23 and 24). Such visits will only influence plant fitness if the removal of floral rewards influences the behaviour of more effective pollinators. Others have also cautioned against relying solely on interaction frequencies to estimate the structure of plant-pollinator interactions [25][26][27] , as high numbers of low quality visits need not necessarily translate into effective pollination (e.g. refs 28 and 29). In the case of Luffa gourd, for example, the best predictor of seed set was not visitation frequency, but instead functional bee diversity in terms of pollen deposition 30 . As a consequence, visitation frequency should still be treated as a general indicator but not as a surrogate for pollinator importance. The likely pollinator predicted from floral pollination syndrome will usually be the most effective; but unexpected visitors may in fact be the most important, such as Usia to L. pubescens as here, insectivorous bats to Pachycereus pringlei 31 , or infrequent visits by long tongued bumblebees to Ipomopsis aggregata 32 .
Community-level interactions. The increase in network specialisation when a visitation network is compared with the corresponding pollinator importance network, although small, is consistent with results from a low diversity, less specialised heathland plant community 6 . The moderately high specialisation observed in our results is reasonable given the diverse range of floral morphologies sampled. Although many species chosen for logistical reasons were highly generalised (as high visitation rates were needed for data collection to be practical), e.g. Hirschfeldia incana, others with equally high visitation frequency were specialised, e.g. Phlomis viscosa which is reliant on large bees. The entire community may be more specialised when all flowering plant species in the habitat are considered, as the increase in the diversity of functional floral traits should increase specialisation and lower the connectance 33 . Interactions recorded were also generalised by the need to aggregate data from across two flowering seasons and from throughout the day into the one network for analysis, a common necessity for time-consuming community studies (albeit with some notable exceptions 34,35 ). Nevertheless, when we considered our data as two separate seasonal time-points (early and late season) pollinator importance networks were still slightly more specialised than the corresponding visitation networks.
Our results support the widespread finding, and specifically the data from Chamberlain et al. 16 , that larger flower visitors (often with longer tongues) are more specialised, due to their habit of seeking out flowers with longer corollas which are more likely to be rewarding than those with shorter corollas that attract a wider range of visitors. However, while some broad patterns can be detected between morphological traits and species-level network metrics, metrics are often not correlated with individual traits.

Methodological limitations and future steps.
While providing more reliable information on plant pollination success than visitation frequency data, the biggest limitation of pollinator importance scores as used in this study remains the lack of information on the quality of the pollen deposited, and in particular on the viability of conspecific grains. Pollen quality (both the viability and the heterospecific content of the deposited grains, as well as the proportion of geitonogamous pollen for self-incompatible species) depends on various factors, including visitor dispersal distances and floral constancy, and can have a serious impact on seed set (e.g. refs 10 and 36). Pollen is likely to be dispersed further by larger bees 37 and trap-lining species will disperse pollen further afield than those with strong floral constancy within patches, such as Apis mellifera 5 . The amount of pollen needed for successful pollination will also vary between plant species 25 . As a consequence, pollinator importance should best be thought of as a measure of potential pollinator performance.
SciENtific REPORts | 7: 8389 | DOI:10.1038/s41598-017-08798-x High levels of visitation may become damaging due to pollen saturation (stigma clogging), pollen removal from stigmas, tissue damage caused by visits, or nectar removal/contamination (e.g. refs 38 and 39). So, for a small number of plant species, those visitors with the highest values for pollinator effectiveness in networks may in fact be detrimental to particular flowers. However, this is unlikely to be an issue for most species as seed set usually plateaus (rather than ultimately declining) with increasing visitation frequency 5 .
The methodology used also imposes restrictions on ability to accurately estimate network metrics such as H 2 ′. Not all flower-visitor interactions within the community could be measured, so results provide estimates of community structure skewed towad the most frequent interactions. Thus, the observed values will underestimate the true complexity of interactions at the site. Care should be taken when making comparisons with studies that do comprehensively sample rarer interactions. How we define an effective pollinator for a plant species also has a huge effect on the resulting network metrics. If only visitors that reliably deposit significantly more pollen than controls are considered, the PI network is much more specialised than the V network. However, while large quantities of pollen may be necessary for successful pollination for many plant species, smaller amounts of good quality pollen may be sufficient for others (e.g. ref. 40). Instead we focussed the majority of our analyses on networks that included the more conservative use of pollen deposition controls, subtracting the average control value of that plant species, so as not to exclude visitors that may often perform poorly, but that may occasionally deposit useful amounts of viable pollen. This gave a PI network that was only slightly more specialised than the V network, but as some of the pollen deposited may have been self-pollen moved by the visitor, the real degree of specialisation probably lies somewhere between the two estimates.
Estimates from networks constructed using data compiled from multiple phenological periods (such as ours), or from multiple geographical areas, may also drastically overestimate network robustness due to stacking of temporal data across plant flowering and visitor activity phenologies. When only those interactions occurring at any one time and place are examined, interaction links are likely to be more vulnerable 36,41,42 .
The correlation between visitor tongue length and specialisation (d′) should also be treated with caution, as it is potentially an artefact given that bigger more specialised visitor groups are more accurately identified to species from observation alone. The large bees with long tongues Synhalonia and Trachusa, for example, represent the single species S. plumigera and T. pubescens respectively, while lumped taxa, containing multiple species with similar shorter tongues, received less weight. While we recognise that the individual species and groups are not strictly independent due to shared evolutionary history, at the genus-level insect groups vary greatly in the range of plant species they visit 25 .
Despite these limitations, pollinator importance metrics identify when and where visitation frequency is a reliable guideline for visit quality and provide additional details about specific interactions. It will also be interesting to see how pollinator importance compares with pollen transport, which can be constructed using the product of pollen load and visitation frequency 43 . The two measures will complement each other, by identifying when visitors carry many pollen grains but deposit few, and when visitors carry very little pollen but deposit substantial self-pollen 20 .

Conclusions
Our study shows that it is feasible to collect data showing potential pollinator importance for a substantial component of a complex and diverse flowering community. These data show that, in a diverse habitat where visitation is dominated by highly effective bee species, recording visitation is a broadly reliable substitute for pollen deposition data at the community level. Pollinator importance data also provides valuable information about individual species interactions as well as more accurate estimates of community specialisation. Careful incorporation of pollen deposition data into community-level studies will enhance our understanding of pollination services.

Methods
Study site and study species. Data were collected from early February to late April in 2014 and 2015 in a 0.35 km 2 area of sheep-grazed, Mediterranean garigue scrub habitat on Mount Carmel National Reserve, Israel (32°43′48″N, 35°0′39″E). Plant species were selected if they were: (i) common enough that multiple patches of 50+ flowers could be found in multiple areas within the site, (ii) had a high enough visitation frequency to allow efficient data collection (at least 1 visit to any of 10 flowers within 30 minutes), (iii) did not have high levels of self-pollen contamination when measured on unvisited flowers, and (iv) contributed towards a morphologically and taxonomically diverse dataset (i.e. if two Brassicaceae had already been surveyed, a common species from an un-surveyed family would be selected for sampling over a third common Brassicaceae). This resulted in 23 study species, representing 35% of the plant species richness at the site during the survey period. Although sampling did not represent the entire plant community, our study allows for a valid comparison of techniques between the most frequently visited common species.
Pollen deposition. We used single visit pollen deposition (SVD) data as our measure of pollinator effectiveness 6, 44 . Flower buds (or inflorescences containing buds) were bagged using mesh cages each evening throughout the study period. Bagged flowers only represented a small number of potential flowers available for visits. The cages were carefully removed the following day once flowers had opened, and receptive stigmas identified on flowers that had opened overnight using a hand-lens. In most cases this occurred on the first day following bagging, but a few species (usually those that were strongly protandrous) were unbagged two or three days later, depending on the time required for the stigma to become receptive (see Table 1). Such bagging may lead to greater rewards being present in observed flowers than the surrounding flowers, but the change in rewards remains consistent for all visitors.
Individual unbagged flowers were observed until they received their first visit, and the visitor identity and visit duration were recorded. Immediately after, stigmas were removed from flowers using fine forceps, and pollen from the surface of the stigma transferred onto a cube of fuchsin gel, which was melted and preserved on a slide, allowing pollen to be identified using a reference collection and counted under a compound microscope. Pollen could be identified to species in most cases, with the exception of Cistus spp. or Brassicaceae pollen, which had to be treated as conspecific pollen on plants of these taxa.
Surveys continued on each day until there were no more bagged flowers to sample, and/or visitation frequency had decreased to a very low level (no visits for 1 h). All data were collected between 07:00 and 17:00 h in warm dry conditions of 14 °C or above, with winds lower than 7 km/h. Data collection occurred at least 5 days a week throughout the study periods (approx. 1500 person hours), with between 68 and 161 flowers sampled per species (Table 1).
To account for pollen found on stigmas due to opening of the flower and/or handling and bagging procedures, control stigmas (11-20 per species) which had been bagged for the same time as observed flowers were also sampled, from newly unbagged flowers before any visit took place, and checked for pollen as above. Mean control values for each species were then subtracted from the SVD values for individual visits.
Insect identification. Insect flower visitors were identified to species or genus by eye, or otherwise photographed and/or caught for later identification. To acquire realistic pollen deposition values visitors were always allowed to complete a visit. As this meant that not all insects could be caught and identified to species, we assigned all visitors into one of 29 primary visitor groups ("lower resolution"; this classification is hereafter used for all analyses unless otherwise stated) and one of 49 higher taxonomic resolution visitor categories. Full details of visitor groups and specimens identified by taxonomists can be found in Supplementary Table S1. In most cases, the lower resolution classification was genus level; but, for example, the "Osmiini" refers to the genera Osmia, Protosmia, and Hoplitis (excluding the more distinctive Chelostoma which are grouped separately). For the higher level resolution, classification was split into size categories within genera where possible, all distinguishable by eye (e.g. Eucera was divided into Eucera large, medium and small), since visitors of different sizes may vary in their pollination effectiveness 45 . While this lead to taxonomically uneven groupings, the same groupings were used consistently for all analysis.

Data analysis.
Visitation as a predictor of pollen deposition. Spearman rank correlations were used to test for relationships between plant-visitor interaction strengths for V and both PE and PI (question 1). As these values were proportional, they were arcsine-square-root transformed before analysis. Individual Spearman rank correlations were also used to compare V and PE proportions across visitor groups which had links with four or more plant species (all Coleoptera were combined, resulting in 13 visitor groups).
Pollen deposition analysis. To evaluate variation in pollen deposition ability among different visitor groups (question 2) data were analysed both at the community level and the level of individual plant species. Visitor groups with fewer than five recorded visits (Bombus, Orthoptera, Pygopleurus and Tropinota) were excluded from analyses.
Pollen deposition was analysed for each plant species using raw pollen grain counts (i.e. before control values were subtracted). The distribution of pollen counts was both zero-inflated and over-dispersed, so a hurdle approach was used 46,47 , in which a binomial family GLM was used to model the probability of a non-zero count and then a negative-binomial family model used to predict the number of grains present given a non-zero count. In both models, visitor group was entered as a categorical predictor with control (bagged) flowers as the baseline level to determine which visitors were significantly more likely to deposit pollen onto stigmas than controls and, when pollen was deposited, which visitors deposited significantly more pollen than found on controls. Time of visit and length of visit were included as continuous covariates in both models. Predicted pollen counts were obtained by multiplying the predicted probability of a non-zero count from the binomial model by the expected count from the negative-binomial model. At the community level a Spearman Rank correlation was used to test for a broad relationship between pollen deposition and time of day.
Network construction. The data were used to construct three types of bipartite networks 6, 48 : 1) Visitation (V) network, using the interaction frequency between visitor groups and plant species. Sample sizes varied slightly among plant species (Table 1), so visit frequency for a plant-visitor group interaction was calculated as a proportion of the total number of visits by all visitor groups; thus interaction bar widths sum to 1 for each plant species, removing bias from variation in sampling effort and facilitating valid comparisons with equivalent PE and PI networks.
2) Pollinator Effectiveness (PE) network, using mean SVD values for each visitor group to each plant species. Pollen production (and hence deposition) varied greatly between plant species. If raw counts of pollen grains were used to produce an interaction network the strength of interactions would be heavily weighted by pollen production per plant species. To remove such bias from the PE network, the PE interaction between each visitor group and plant species was calculated as a proportion of the total SVD for that plant species (i.e. total pollen grains deposited across all SVD observations).
3) Pollinator Importance (PI) network, combining data from V and PE networks. PI for each interaction was calculated as the product of total visitation frequency and mean PE for that visitor group. Again, biases were accounted for by using PI values for each visitor group/plant species interaction calculated as a proportion of the total PI summed across all visitor groups for that plant, so that all interaction bar widths for each plant species sum to 1.
Network construction was repeated for different versions of the data to assess the consistency of the findings: (1) visitor groups classified at the higher taxonomic level. (2) All interaction links with fewer than 5 visits removed. (3) Data were split into "early" (collected from13 th Feb to 21 st March) or "late" (collected from 22 nd March to 25 th April) season, as plant and visitor phenophases varied over the season (six species were sampled throughout the sampling period were classed as "both" early and late) ( Table 1). (4) Only visitor groups depositing significantly more pollen compared to control flowers included (identified using the hurdle model detailed above).
Comparing visitation networks with PE and PI networks. Interaction networks were analysed using the bipartite package (version 2.05 46 , in R version 3.2.1 49 ). Our analyses focused on metrics that best represented community structure and the role of individual species within that structure. Community-level metrics were used to test for large scale differences between networks (question 3).
We used H 2 ′ to measure network specialisation as it best represents the level of interaction selectiveness by estimating the deviation of observed interaction frequencies from expected values observed in a null distribution of interactions. H 2 ′ is based on weighted links and is therefore robust to variation in sampling effort because its null expectation is unaffected by sampling intensities 50 ; it ranges from 0 (extreme generalisation) to 1 (perfect specialisation). Generality of visitor species, together with generality of plant species (the latter is also termed 'vulnerability' due to its use in food web literature, describing the vulnerability of prey to predation 51 ), were used to describe the mean numbers of species a plant or visitor group directly interacts with, weighted to account for sample size. Interaction evenness was used as a measure of homogeneity in interaction frequencies, which reaches 1 when the number of interactions between plants and visitor groups is uniformly distributed, and is inversely related to network stability 52 . Nestedness, weighted by sample size (weighted NODF), was used as an estimate of linkage structure, which may inform about network dynamics and breakdown patterns, with higher values of nestedness correlated with greater stability in mutualistic networks 53,54 .
We expect PI networks to be more specialised, with a higher H 2 ′, with a lower generalisation and with lower nestedness when interaction links involving visitors with poor pollinator effectiveness scores are reduced in importance. Potential change in network evenness was not predicted, as the changes in species contribution within the network could lead to changes in either direction. To ensure comparisons of network metrics were between the most unbiased estimates, observed network-level metrics were corrected using the means from 1000 null model distributions (produced using the Patefield algorithm, in which the marginal totals are constrained in the randomizations 55 ). Standardized z-scores were calculated for each network level metric (z = [observed − null mean]/null ơ) to test for significant difference from the null model distribution 54 .
Comparing species/group-level metrics with morphological traits. To identify possible links between morphological traits and species-level network metrics (question 4), the 23 plant species were classified on a scale of 1 to 5 using the judgement of the authors for each of three morphological characteristics: (i) ease of stigma access (ii) size of receptive stigma surface and (iii) pollen grain size ( Table 1). The body size and tongue length of each of the 29 visitor groups were classified on a scale of 1 to 5 (Supplementary Table S3a). Full definitions for plant and insect categorisation provided in Supplementary Material S1 and Supplementary Table S2.
We used d′ to assess species/group level specialisation; it measures the exclusivity of interactions that individual species take part in. This is the most biologically informative measure of visitor specialisation in resource choice in a visitation network, and most relevant predictor of specialisation in pollination for a plant in a PI network 56 . As the matrix data are proportional, all values were multiplied by 1000 to allow calculation of this metric. Species strength, on the other hand, measures the sum of an individual species' or groups' dependencies (relative interaction weights) within a network 15 ; this measure of species contribution to the other trophic level is most biologically informative for plants in a visitation network (as resource use of these species by visitors is measured), and for visitors in a PI network (where potential pollination quality is measured). We then used weighted closeness centrality to provide a measure of the centrality of individual species/groups within the topography of the network that accounted for sample size, with the highest values indicating generalised keystone species with more linkages to other centrally-located species and lower values indicating marginal species/groups that were less likely to interact with keystone generalists, or species that in turn interacted with keystone generalists 57 . Differences in these species/group-level metrics between V and PI networks depend on changes in individual interactions, making network-level predictions difficult.
Plant species level metrics d′ and weighted closeness centrality from the PI network, and species strength from the V network, were tested for relationships with ratings of stigma access, stigma size and pollen grain size using Spearman rank correlations. Visitor group level metrics d′ and weighted closeness centrality from the V network and species strength from the PI network were assessed in the same way for relationships with visitor body size and tongue length.