Study design
The study was conducted in 2017, in six closed tunnels (6 × 60 m, Supplementary Figure 1). Within each tunnel, there were 8 rows of cauliflower plants grown for high-purity hybrid seed. Rows 1, 3 and 8 were plants with male fertile (hermaphrodite) flowers of one line and other rows were male sterile (female) plants of another line. Sampling was conducted in rows 4 and 5 as these bordered the walkway. There were three combinations of hermaphrodite and female lines across six tunnels (Supplementary Table 1). Plants were watered and given nutrients via a drip irrigation system. We used plants with cytoplasmatic male sterility. In our study plants, hermaphrodite flowers produced pollen from fully developed anthers, whereas female flowers typically had underdeveloped anthers that did not produce pollen (Supplementary Figure 2). The bloom cycle of each line-sex combination was asynchronous, causing the size of the plants and the total flower units for hermaphrodite and female plants to be unequal across the tunnels. This is because a portion of the flowering stems of hermaphrodite plants were trimmed to manipulate flowering times and create a succession of flowering stages so that pollen was available at all times for the female plants. However, plants of similar sizes and flowering stages were used in observational and experimental testing.
Honeybees and blowflies were used as managed pollinators. Two commercial honeybee hives were placed in each tunnel at the onset of bloom in female plants. Each double hive contained 6–8 frames of brood and approximately 40–60,000 bees. Plastic trays containing blowfly (Calliphora stygia, Calliphoridae) pupae purchased from a bait and tackle company were added to each tunnel near the peak bloom of the female plants. Eight trays of approximately 1500 (12,000 total) pupae were added to tunnels 2 and 3. An estimated 90% of the pupae (10,800) emerged as healthy adults. Eight trays of approximately 750 (6000 total) pupae were added to tunnels 1, 4, 5 and 6 and an estimated 50% of these pupae (3000) emerged as healthy adults. The reduction in emergence was presumably due to heat stress during the transition from cool storage to the tunnels. Unusually warm spring conditions caused early flowering in some tunnels, prior to the availability and pupation of fly pupae, resulting in lower abundances of flies than bees in the tunnels. Additionally, wild, unknown species of flies were caught using raw meat, then reared and released in the tunnels. We recorded four morphospecies of blowflies and one hoverfly (Eristalis sp.) across tunnels. The total species richness or abundance of wild flies in each tunnel was unknown. Thus, we consider differences in abundance and species composition of flies across tunnels as underlying, random variability that we do not test for, but account for it in the random structure of the model (see below). As experiments were conducted on commercially viable farms specifically to compare seed set and quality for growers, it was not possible to construct enclosures in order to simultaneously compare honeybee treatment with and without flies within each tunnel.
Pollination treatments
Two factors were used in a fully crossed design (all combinations, Supplementary Figure 3), resulting in four treatments per each experimental female plant: (1) hand cross-pollination (2 levels: present and absent) and (2) pollination exclusion (2 levels: open and closed). First, four unopened flower clusters were located on each plant and bagged to exclude pollinators. In the hand pollination treatments, two open male flowers were collected for pollination of each female flower. Male pollen donor flowers were randomly selected from the same tunnel. Using forceps, anthers were removed from the hermaphrodite flowers, placed into an Eppendorf tube and allowed to dehisce before application with a soft paintbrush onto stigmas of open female flowers. The flowers were re-bagged and the same process repeated every 3 days until approximately 10 flowers per cluster were hand pollinated. The treatment without open pollination was bagged until the stigma was no longer receptive (approximately 5 days), while the treatments with open pollination were left open for visits by honeybees or blowflies. Thus, only newly opened flowers were used for the experiment. The sampling was conducted between 16 Oct 2017 and 28 Nov 2017. The open pollination treatment was repeated twice: (1) with honeybees only (before 17 Nov 2017) and (2) with honeybees and blowflies (after 17 Nov 2017). This resulted in four “open” treatments in total (i.e. honeybees alone or both insects present with and without hand pollination). Tunnels 5 and 6 did not have the honeybee-only treatment. In each tunnel, 10–11 plants were sampled, except for tunnel 4 where 37 plants were sampled. The following measurements were recorded: (i) presence/absence of pods and (ii) number of seeds per pod.
Flower visitation
Visitation by honeybees was recorded on 6 male and 9 female transects (15 plants per transect) of similar flowering stages in the centre of one tunnel. Observations were made three times per day, at 10:30, 12:30 and 14:30 on different plants, for 1 week ending on 30 Oct 2017. Each plant was observed for 20 s and was approximately 30–45 cm in width and height. In November 2017, when female plants were roughly 60–72 cm in height, visitation of flowers by both honeybees and blowflies was observed in all tunnels. The observations were made using a point-transect method where each observation unit consisted of 30 × 30-cm quadrats and lasted for 1 min. The change in observation protocol was due to the plants growing into one another and creating a hedgerow effect. The quadrats were set every four metres from zero to 60 m, totaling 15 quadrats per row. Rows with both males and female plants were observed. Behaviour of the honeybees on the flower (legitimate nectar visits or theft) and presence/absence of pollen in the pollen baskets was recorded. Nectar theft was defined as an observation when a flower visitor foraged for nectar but did not contact the floral reproductive organs and did not cause any damage to flowers (Inouye 1980). If the visitor touched floral reproductive parts, it was considered a legitimate visitor. The observations were again repeated three times per day, at 10:30, 12:30 and 14:30, for four non-consecutive days. This was because nectar and pollen foraging by some bees is asynchronous and pollen foraging may be more frequent early in the morning (Verma and Partap 1994).
Transitions between plants and sexes
To investigate how often honeybees and blowflies transitioned between plants within the same row (same sex) and between rows (same or different sexes), we observed legitimate visits of individual insects for a maximum of 10 min. We recorded the insect species, presence/absence of pollen in the pollen baskets for honeybees, duration of the foraging trip, the number of transitions between plants within rows (same sex), the number of transitions from hermaphrodite to female flowers and total number of transitions. Observations were conducted during 2 weeks from 13 Nov 2017 to 28 Nov 2017.
Controlled number of visits: impact on fruit and seed set
We tested the relationship between the number of honeybee visits (one vs. more visits) and seed/pod set of a female line (pod presence/absence and seed number) in one tunnel (tunnel 4). Unopened flower clusters throughout the tunnel were bagged to exclude pollinators. After at least two flowers had opened within a cluster, the bag was removed and the cluster of flowers was observed until one flower was visited by a honeybee. Following visitation, the flower was tagged and the cluster bagged again. For multiple visitations, the same steps were repeated, but the flowers were watched until two, three or four visitations. A visit was recorded only when a visitor touched the floral reproductive parts. The presence of pods and the number of seeds were recorded. The experiment lasted for 1 month starting on 23 Oct 2017 and the seeds were collected 8 to 11 Jan 2018.
Statistical analyses
We used Generalized Linear Mixed-Effects Models to analyse yield parameters (pod presence/absence and seed number), flower visitation and transitions between plants and rows. For the analysis of seed number and pollinator transitions, we used the Poisson distribution, for the pod presence/absence data, a Bernoulli distribution and for flower visitation rate, a zero-inflated negative binomial distribution (“nbinom1” function). For the analyses of seed/pod set from pollination trials, the random structure included flower cluster ID (1:6) nested in plant ID (1:11) and nested in a tunnel ID (1:6). The explanatory variable in these models was a factor with 6 levels: (i) hand pollination closed (HC), (ii) hand pollination open to honeybees (HH), (iii) hand pollination open to honeybees and blowflies (HHB), (iv) no hand pollination closed (C), (v) no hand pollination open to honeybees (H) and (vi) no hand pollination open to honeybees and blowflies (HB). We used general linear hypotheses and Tukey’s all-pairs comparisons for post hoc pairwise comparisons between treatments. To link the number of visits per flower (one vs. more) to the seed and pod set from the experimental treatments where the number of visits per flower was controlled, we used a model with plant ID in the random structure.
The first model for the visitation rate when only honeybees were present included temporal period (1:3) in the random structure and plant sex as an explanatory variable. Next, we constructed two models to test visitation rates when both insects were present in the tunnels later in the season. The first model included both insects and the explanatory variables were the visitor species (i.e. blowflies or honeybees) in the interaction with plant sex (hermaphrodite or female). The second model included only honeybees and the explanatory variables were plant sex, the presence of pollen in the pollen basket (present or absent), behaviour (legitimate nectar foraging or theft) and their 2-way interactions. The random structure included a temporal period (1:3) crossed with a sampling quadrat ID (1:15) nested in the tunnel ID (1:6). Finally, models estimating the transition of insects between plants within rows and from hermaphrodite to female flowers included insect species as an explanatory variable, tunnel ID in the random structure and log-transformed duration of observation as an offset. Additionally, we tested how transitions of honeybees varied due to the presence or absence of pollen in the pollen baskets using the same model structure.
All models were inspected for over-/underdispersion, zero inflation and distribution of the residuals. Scaled residuals were simulated from the fitted model. Visual inspection of the residuals was then conducted by detecting deviation from uniformity (QQ plot) and by plotting the residuals against predicted values. For testing over-/underdispersion, a non-parametric dispersion test was performed. Finally, to test for zero inflation observed, the number of zeros was compared with the zeros expected from simulations. All analyses were conducted in R (version 3.5.1 2018), using packages “DHARMa” (Hartig 2018), “effects” (Fox 2003), “emmeans” (Lenth 2018), “lme4” (Bates et al. 2015) and “glmmTMB” (Brooks et al. 2017).