Field sampling methods
Field studies of host abundance and parasitism were carried out in six geographical localities of the Pampas region of Argentina: Luján, Mercedes, Moreno, Pigüé, Pilar and Victoria. Sampling was done during June to August between 1997 and 2006. These localities are within the major beekeeping region of Argentina, where adult robber flies feed mainly on honeybees (Figure 1).
The study was carried out in 17 fields with apiaries where robber fly activity was registered in the previous summer. Some fields were sampled repeatedly in different years, so the combination apiary/year was defined as the scale “site” (see Table 1). In each site, three plots with different agricultural or cattle breeding management practices and vegetation (from now on “sub-site” scale) were sampled. On each sub-site a grid was placed next to the wire fence. Grids were made up of 10 lines of 5 samples parallel to the wire fence (“Line level”). Samples were taken every 2.5 m within each line. Lines were placed every 5 m covering a total of 50 m. Each sample (small scale) consisted of the extraction of a soil block of 0.35 m side by 0.30 m depth obtained with a shovel (volume: 36.8 L; surface area: 0.12 m2). In sum, samples were grouped in lines (5 samples per line) with 10 lines per sub-site obtaining 50 samples in total. The largest scale, “site”, consisted of 3 sub-sites, hence 150 samples (Figure 2).
From each block of soil, all scarab beetle larvae were collected by manually breaking the soil and identified to the species level in the laboratory with a dichotomic key (Alvarado 1980)</C>. A stereomicroscope was used to register the number of larvae of M. ruficauda attached to the host cuticle. Only C. signaticollis larvae were counted as host abundance since it is the preferred host for M. ruficauda (Crespo and Castelo 2010, Barrantes and Castelo 2014).
Scales were chosen because we believe they represent the true complexity in this system. As mentioned before, M. ruficauda adults belong to a genus of robust dipterans that feed on other flying insects like honey bees (Bromley 1930, 1946, Cole and Pritcharkd 1964, Corley and Rabinovich 1997). Asilids have an important flying capacity, near 1-2km, easily covering a site area (Kanmiya 2002, Londt 2020). Once the female places its eggs on the substrate, larvae will be wind dispersed, so the sub-site together with the line levels capture mainly the influence of wind on larval dispersal and a possible effect of distance to the oviposition site but no further influence of females. Finally, the sample scale captures host-searching performed by the larva itself after dropping and burying into the soil.
Density dependence analysis
We considered in the analysis only sites where parasitized scarab beetle larvae were found (n = 25). We carried out sampling in different years because parasitoids move freely and frequently among localities as a consequence of the host population dynamics and food availability. Cyclocephala signaticollis larvae abundance might be very variable among years due to different causes (crop management, field conditions, parasitism outcome itself) introducing variability in the presence of M. ruficauda and parasitism levels at a given site. Due to this scenario, it was necessary to redefine sampling places every year.
For each of the scales analysed, (i) site (apiaries); (ii) sub-sites (field lots); (iii) lines (transects within field lots) and (iv) samples (unitary block of soil), proportion of parasitized hosts was calculated as the ratio between the number of parasitized C. signaticollis and the total number of C. signaticollis found. To avoid overestimating the proportion of hosts bearing no parasitoids, those sites with 0% parasitism were excluded from analysis, assuming that parasitoid larvae may have not arrived to the soil in these places or adult parasitoids did not oviposit in those specific places the previous summer.
We analysed the proportion of parasitized C. signaticollis through generalized linear models. For each scale we generated a model that included different predictors informative of that scale (site, sub-site, line and sample models). All models were generated with a Binomial distribution and a logit link function. After modelling a full model, model selection was performed. For every model, the effect of dropping an interaction or a predictor variable (with drop1 function) was evaluated through the Likelihood ratio test and the AIC value. After obtaining the minimal model, significant terms were evaluated with the anova function. Finally, interaction plots of the estimated marginal means were done to explore the relation between the predictors and the response variable.
For the site model host abundance and amount of egg-clusters in place were used as predictor variables. Host abundance was included as a discrete predictor variable while amount of egg-clusters was included as a categorical predictor variable with two levels (low and high). Egg-clusters was included as a predictor variable since the abundance of M. ruficauda cannot be directly calculated.
The sub-site full model was constructed with host abundance as discrete predictor variable and vegetation height as a categorical predictor variable (low or high). Vegetation height is an indicator of oviposition substrate availability for M. ruficauda (Castelo and Corley 2004). In fields with low vegetation height, only wire fences are available for oviposition while many other oviposition substrates (e.g. tall grasses, stems, sticks) are also available in fields with high vegetation. If only wire fences are available for oviposition, egg-cluster aggregation could occur as a result of availability of oviposition substrates. However, egg-cluster aggregation could still occur in vegetation if females are attracted to odours from damaged plants, hosts or other egg-clusters favouring oviposition in specific substrates. Attraction to damaged plants has already been discarded since oviposition on dry plants and wire fences are frequent (Castelo et al. 2006). In order to discard female attraction to host odours, we studied if female M. ruficauda places more egg-clusters on plants and wire fences associated with hosts at a small scale. For this, we registered the position of between 28 and 35 plants or wire fences with egg-clusters, in six apiaries with proven presence of M. ruficauda in the previous summer. From each plant and wire fence, the total number of egg-clusters placed by M. ruficauda females was registered. Wire fences were 2m portions of longitudinal wire randomly chosen. Plants geographic positions were registered because the following step of the study was performed during autumn and many plants were gone by then. Hence, in autumn, soil samples were obtained using the same technique as previously described. Soil samples with previous plant positions were taken using the geographic position as the centre. For samples from wire fences, soil samples were obtained from the midpoint of the wire longitude. Soil samples were analysed to quantify the number of larvae of C. signaticollis present. With data from number of egg-clusters and number of hosts, a model was constructed with the former as the response variable and the latter as a discrete numerical explanatory variable. The influence of the number of C. signaticollis hosts on the number of egg-clusters was evaluated with a glm with a Gamma distribution and log link function with the ID of each site as a random factor.
Next, line model included the same predictor variables as sub-site model (host abundance and vegetation height) and distance to the wire fence as another discrete predictor variable. This variable accounted for any distance effect that could be introduced in fields with low vegetation height.
Finally, sample model included the same predictor variables as the line model (host abundance, vegetation height and distance to the wire fence). We assumed that dependency on sites and sub-sites would not introduce a notorious effect on the results since females are not able to place two egg-bouts on a single day (M. Castelo, personal observation). Given the fact that at maximum only 3 sub-sites per site could be included as random effects, they were not included as random variables because at least five replicates is suggested to estimate variance.
All the statistical analyses were performed using R version 3.6.3 “Holding the Windsock” (R Core Team 2020). Models were performed with the function glmmTMB from the glmmTMB package (Brooks et al. 2017). Interaction plots of the estimated margin means were performed with emmip function of the library emmeans (Lenth et al. 2020). Plots were done with the library ggplot2 (Wickham et al. 2020).
Data available from the Dryad Digital Repository: Castelo and Crespo 2020.