Repeated evolution of soldier sub-castes suggests parasitism drives social complexity in stingless bees
Autor: César Larcen. (engl.) | Publicado: 2017-04-05T06:20:00-07:00


Em&nbsp;http://www.nature.com/articles/s41467-016-0012-y









Christoph Grüter,&nbsp;
Francisca H. I. D. Segers,&nbsp;
Cristiano Menezes,&nbsp;
Ayrton Vollet-Neto,&nbsp;
Tiago Falcón,
Lucas von Zuben,&nbsp;
Márcia M. G. Bitondi,&nbsp;
Fabio S. Nascimento&nbsp;&amp;&nbsp;
Eduardo A. B. Almeida




Nature Communications&nbsp;8, Article&nbsp;number:&nbsp;4(2017)
doi:10.1038/s41467-016-0012-y
Download Citation

Behavioural ecology
Entomology
Evolution
Evolutionary ecology







Received:
31 August 2016
Accepted:
16 November 2016
Published online:
23 February 2017










Abstract


The differentiation of workers into morphological castes represents an important evolutionary innovation that is thought to improve division of labor in insect societies. Given the potential benefits of task-related worker differentiation, it is puzzling that physical worker castes, such as soldiers, are extremely rare in social bees and absent in wasps. Following the recent discovery of soldiers in a stingless bee, we studied the occurrence of worker differentiation in 28 stingless bee species from Brazil and found that several species have specialized soldiers for colony defence. Our results reveal that worker differentiation evolved repeatedly during the last ~ 25 million years and coincided with the emergence of parasitic robber bees, a major threat to many stingless bee species. Furthermore, our data suggest that these robbers are a driving force behind the evolution of worker differentiation as targets of robber bees are four times more likely to have nest guards of increased size than non-targets. These findings reveal unexpected diversity in the social organization of stingless bees.




Introduction


Division of labor among cells, organs, or individuals is a fundamental feature of complex biological systems1,2,3. In social insects, division of labor among workers is widespread and the most advanced forms of division of labor are found in species with morphologically distinct worker phenotypes4,5,6. In many ant and termite species, for example, colony defence is performed by a soldier caste (or sub-caste)4,5,6. Having workers with morphological adaptations for specific tasks such as foraging or defence is likely to improve colony functioning and performance because workers are more efficient at performing these tasks7,8,9. For example, more specialized ant soldiers (or majors) are more effective at nest defense10, whereas minors are better at brood care11. Given the benefits of task-related worker differentiation, it is puzzling that physical worker castes are extremely rare in social bees9&nbsp;and absent in wasps6. It has been argued that developmental constraints12,13, individual-level selection5,13, the presence of a powerful sting5&nbsp;or the fact that colonies with winged workers can more easily avoid aggressive interactions5&nbsp;might prevent the evolution of physical castes in bees and wasps.

Division of labor is mainly based on temporal castes in both groups of highly eusocial bees, the honey bees (Apini) and the stingless bees (Meliponini)5,6,14,15: workers first perform nursing duties inside the nest before moving on to general nest maintenance duties and, finally, they perform the outside tasks of guarding and foraging. However, the recent discovery of soldiers in the Neotropical stingless bee&nbsp;Tetragonisca angustula9&nbsp;suggests that more complex caste systems might exist in this relatively understudied tribe. In&nbsp;T. angustula, colonies are defended by a small16&nbsp;but dedicated group17&nbsp;of entrance guards that are both larger (~ 30%) and of different shape than their nestmates9. Having larger soldiers is beneficial for colonies because body size is directly linked to the fighting ability of&nbsp;T. angustula&nbsp;guards9.

Given this discovery in a common Neotropical species, we tested if task-related worker differentiation is more widespread in stingless bees, the largest group of eusocial bees (&gt;500 described species18). To this end, we compared the morphology of nest guards and foragers of 28 species from different areas in Brazil. We chose species that are both relatively common and ecologically varied: they show diversity in their habitat (e.g., savanna, subtropical forests, and tropical rain forest) (see Supplementary Table&nbsp;1), nesting habits (ground nesting, cavity nesting, and exposed nests)19, foraging method (e.g., pollen foraging, necrophagous, and cleptoparasitic)20&nbsp;and colony size (from a few hundred to tens of thousands of workers)21,22. We focused on nest entrance guards and foragers because worker differentiation in ants and termites (and the stingless bee&nbsp;T. angustula) mostly involves morphological adaptations for defence and foraging5,6,9,23. Furthermore, we scrutinized existing hypotheses that might explain the evolution of worker sub-castes. Our results show that worker differentiation is indeed common in Neotropical stingless bees and that the evolution of nest-entrance guards of increased body size is linked to the risk of being attacked by parasitic robber bees.




Results


Differences between guards and foragers

We found that guards were significantly larger than foragers in 10 out of 28 species (in 6 of 16 genera) (Fig.&nbsp;1a; Table&nbsp;1&nbsp;and Supplementary Table&nbsp;1). The species with larger guards had an overall greater worker size variation (phylogenetically controlled generalized least squares (GLS):&nbsp;t-value = 2.27, df = 26,&nbsp;P = 0.03). In several species, the size difference between guards and foragers was larger than one standard deviation of within colony worker size variation (i.e., differentiation index DI &gt; 1, Table&nbsp;1, Supplementary Fig.&nbsp;1). The three species with the largest degree of size differentiation,&nbsp;T. angustula&nbsp;(DI = 1.6),&nbsp;Tetragonisca fiebrigi&nbsp;(DI = 1.54) and&nbsp;Frieseomelitta longipes&nbsp;(DI = 1.35) show a bimodal size distribution (Fig.&nbsp;1b, c; Supplementary Fig.&nbsp;1). In the other seven species with worker size differentiation, guard, and forager sizes show considerable overlap (Fig.&nbsp;1d, e; Supplementary Fig.&nbsp;1).


Figure 1



Comparison of guards and foragers in 28 species of stingless bees.&nbsp;a&nbsp;Phylogenetic reconstruction based on a previously published phylogeny18. The color gradient from&nbsp;blueto&nbsp;red&nbsp;indicates the probability that a species evolved increased guard size, based on 1,000 simulations using a Bayesian framework. Numbers 1–5 indicate independent appearances of increased guard size.&nbsp;b&nbsp;Tetragonisca fiebrigi&nbsp;guards standing on the wax entrance tube (Photo: C. Grüter).&nbsp;c&nbsp;Size-frequency distribution of&nbsp;T. fiebrigi&nbsp;foragers and guards showing a bimodal distribution. Values (unit = mm) are centred for each colony (colony mean and total mean = 0) to correct for overall colony differences (N = 58 forager/65 guards/6 colonies).&nbsp;d&nbsp;Frieseomelitta flavicornis&nbsp;guard and forager (Photo: C. Grüter).&nbsp;e&nbsp;Size-frequency distribution of&nbsp;F. flavicornis&nbsp;foragers and guards, showing a unimodal distribution. Values (unit = mm) are centred for each colony (N = 37/39/6).&nbsp;f&nbsp;Head of a&nbsp;Frieseomelitta variaforager and guard (Photo: C. Grüter).&nbsp;g&nbsp;Melanization frequency distribution of&nbsp;F. variaguards and foragers. Values (unit = melanization level, see methods) are centred for each colony (N = 30/56/6)



Full size image



Table 1: Summary of morphological data
Full size table


We also discovered that in several&nbsp;Frieseomelitta&nbsp;species,&nbsp;guards are not only larger but also constitute a distinct color morph (Fig.&nbsp;1d, f, g; Supplementary Fig.&nbsp;2a). The degree of melanization differed significantly between guards and foragers (F. varia, linear mixed-effects (LMEs),&nbsp;t-value = 13.45, df = 81,&nbsp;P &lt; 0.001, DI = 1.7;&nbsp;F. flavicornis,&nbsp;t-value = 8.84, df = 71,&nbsp;P &lt; 0.001, DI = 1.5;&nbsp;F. longipes,&nbsp;t-value = 11.5, df = 23,&nbsp;P &lt; 0.001, DI = 1.85). We measured cuticle thickness (i.e., sclerotization) in the clypeal area using transmission electron microscopy but found no difference between guards and foragers (LME,&nbsp;t-value = 1.57, df = 6,&nbsp;P = 0.16).

We found negative allometry between body weight and head width in 9 of 24 tested species (Table&nbsp;1). In other words, larger workers have relatively smaller heads. There was no association between negative allometry and having larger guards (Pagel's method24&nbsp;for correlated evolution: likelihood ratio = 0.06,&nbsp;P = 0.97) (Table&nbsp;1), indicating that negative allometry in stingless bees is not linked to the morphological differentiation between defence workers and foragers.

Testing hypotheses explaining worker differentiation

Our data allowed us to examine hypotheses that might explain inter-specific variation in the degree of worker differentiation in stingless bees. The developmental constraints hypothesis predicts a positive correlation between the variance in worker size and queen-worker dimorphism13, because an early queen-worker caste determination (and, therefore, greater Q-W dimorphism) provides more time for worker larvae to develop along different developmental pathways13,25. We performed a phylogenetically controlled analysis and found strong support for this prediction (GLS;&nbsp;t-value = 4.47, df = 10,&nbsp;P = 0.0012; Fig.&nbsp;2a). Queen-worker dimorphism (i.e.,&nbsp;relative size difference) explained more than 60% of the variation in worker diversity between species.


Figure 2



Factors explaining differences between species in worker diversity.&nbsp;a&nbsp;Relationship between queen-worker dimorphism (log-transformed) and worker diversity (log-transformed standard deviation of head width) (N = 12 species). The phylogeny is based on ref.&nbsp;18&nbsp;and a generalized least squares model (GLS) assuming Brownian motion was applied. The best fit line is based on a linear regression through the origin based on phylogenetically independent contrasts (PICs). Queen-worker dimorphism explained 63% of the variation in worker size variation between species.&nbsp;b&nbsp;Relationship between colony size (log-transformed) and worker diversity (log-transformed standard deviation of head width) (N = 27 species). A GLS model revealed no relationship between colony size and worker diversity



Full size image


The size-complexity hypothesis predicts that species with larger colony sizes have a more specialized division of labor and a more diverse workforce3,26,27,28. However, we found no relationship between colony size and worker size variation in our 28 species of stingless bees (GLS:&nbsp;t-value = −0.25, df = 26,&nbsp;P = 0.80) (Fig.&nbsp;2b). We then tested if species with a significant difference in forager and guard size have larger colonies than species without, but we found no difference in colony size (GLS:&nbsp;t-value = 0.11, df = 26,&nbsp;P = 0.92).

Phylogenetic analysis

A reconstruction of the evolutionary history of worker differentiation suggests that the common ancestor of the species included in our study had similarly sized guards and foragers (Fig.&nbsp;1a). The analysis further suggests that increased guard size evolved five times independently among the 28 study species (Fig.&nbsp;1a). All transitions towards increased guard size have occurred relatively recently, during the last 20–25 million years (Fig.&nbsp;1a). This period coincides with the period of diversification of the cleptoparasitic genus&nbsp;Lestrimelitta&nbsp;from non-parasitic ancestors (Fig.&nbsp;1a). According to a recent survey, 10 of the 28 studied species are known targets of&nbsp;Lestrimelitta,&nbsp;whose attacks frequently destroy colonies29. Targets of robber bees are about four times more likely to have larger guards (70% or 7 of 10 species) than non-target species (16.7% or 3 of 18). We again used Pagel's method24&nbsp;to test for a correlated evolution of binary characters and found that species are significantly more likely to have guards of increased size if they are victims of&nbsp;Lestrimelitta&nbsp;robber bees (likelihood ratio = 8.17,&nbsp;P = 0.017).




Discussion


Our results show that task-related worker differentiation is relatively common in stingless bees, with 10 of the 28 tested species having entrance guards that are significantly larger than the foragers of the same colonies. The three species with the most pronounced size differentiation,&nbsp;T. angustula,&nbsp;T. fiebrigi,&nbsp;and&nbsp;F. longipes&nbsp;show a bimodal size distribution (Fig.&nbsp;1b, c; Supplementary Fig.&nbsp;1), which indicates that guards and foragers represent distinct minor and major (soldier) sub-castes6,12. In the other seven species with worker size differentiation, guard and forager sizes, although significantly different, show considerable overlap. This size overlap among worker groups performing different tasks is similar to some bumble bee species, where body size is linked to task performance, but workers performing different tasks come from the same size distribution30. These findings show that the extent of worker differentiation in stingless bees varies among species, from guards of slightly increased size to distinct soldiers.

We discovered that in several&nbsp;Frieseomelitta&nbsp;species,&nbsp;guards are not only larger but also constitute a distinct color morph (Fig.&nbsp;1d, f, g; Supplementary Fig.&nbsp;2a). Guards are significantly darker than foragers, indicating stronger sclerotization, but measurements of cuticle thickness in the clypeal area did not show differences between guards and foragers. It is possible that camouflage explains color differences as the darker color makes entrance guards less conspicuous when they defend the nest entrance (Supplementary Fig.&nbsp;2b). Increased melanization can also increase resistance to pathogens and physical damage31, which might be particularly beneficial for individuals that are more likely to encounter these risks. In some stingless bees and the honey bee (Apis mellifera), guarding tasks precede foraging activities14,15,17&nbsp;and it is possible that&nbsp;Frieseomelitta&nbsp;guards change melanization after some days to become yellow foragers. However, behavioral observations in&nbsp;F. varia&nbsp;showed that workers performing defensive tasks (guarding and fighting) were of similar age (40.0 ± 5.1 days) to foragers (37.2 ± 9.2 days)32. This mirrors the situation found in&nbsp;T. angustula,&nbsp;where soldiers and foragers are of the same age17&nbsp;and suggests that guarding and foraging are not sequential tasks inFrieseomelitta, but that the larger, dark guards represent a distinct soldier caste.

Allometry between body parts means that workers of different sizes differ in shape6,25. We found negative allometry between body weight and head width in 9 of 24 tested species. In other words, larger workers have relatively smaller heads, which is the opposite of what is found in many ant species6. Importantly, there was no association between negative allometry and having larger guards, which suggests that negative allometry does not seem to be linked to the size differentiation between defence workers and foragers in stingless bees. Guards in stingless bees might not need large heads accommodating strong head muscles as, in contrast to ants, they mainly use their mandibles for clamping, rather than cutting, and their legs for grappling9,33. Why some stingless bees show negative allometry and whether developmental constraints or ecological pressures play a role is unknown.

Compared to the impressive size differences between soldiers and minors in some ant genera (e.g.,&nbsp;Atta),&nbsp;size differences between guards and foragers in stingless bees are moderate where they exist. This raises the question why more extreme worker differences have not evolved in eusocial bees. Several non-mutually exclusive hypotheses have been proposed to explain differences among social insect species in the degree of worker differentiation5,13. The developmental constraints hypothesis predicts that worker phenotypic diversity is more likely to evolve in species with an early queen-worker caste determination as this provides more time for worker larvae to develop along different developmental pathways13,25. As a result, we expect a positive correlation between the variance in worker size and queen-worker dimorphism13. Indeed, we found that queen-worker dimorphism explained more than 60% of the variation in worker diversity between species. This positive correlation between queen-worker dimorphism and worker phenotypic diversity could also be caused by a third factor, namely the reproductive potential of workers. A decreasing ability of workers to reproduce could favor both the evolution of worker differentiation13&nbsp;and queen-worker dimorphism34. However, Tóth et al.21found no link between worker reproduction and queen-worker dimorphism in stingless bees. Thus, we deem it unlikely that worker reproductive potential explains the strong relationship between queen-worker size difference and worker diversity.

The size-complexity hypothesis predicts that species with larger colony sizes have a more specialized division of labor and a phenotypically more diverse workforce3,26,27,28. There is good evidence for a size-complexity relationship within ant species6, but evidence among ant species is mixed13,27. We found no relationship between colony size and worker size variation among our 28 species of stingless bees (Fig.&nbsp;2b), which suggests that colony size does not explain the presence or absence of worker differentiation in stingless bees.

A reconstruction of the evolutionary history of worker differentiation suggests that the common ancestor of our 28 species had similarly sized guards and foragers and that, therefore, increased guard size is a derived trait (Fig.&nbsp;1a). The analysis further suggests that increased guard size evolved five times independently among the 28 study species (Fig.&nbsp;1a). Stingless bees began their diversification around 80 million years ago18, but all transitions towards increased guard size have occurred relatively recently, during the last 20–25 million years (Fig.&nbsp;1a). This period coincides with the period of diversification of the cleptoparasitic genusLestrimelitta&nbsp;from non-parasitic ancestors (Fig.&nbsp;1a).&nbsp;Lestrimelitta&nbsp;bees pose a threat to many Neotropical species as robbers of resources29&nbsp;and are suspected to be the driving force behind the evolution of soldiers inT. angustula9,16. For example,&nbsp;T. angustula&nbsp;soldiers aggressively attack objects that chemically or visually resemble robber bees35&nbsp;and colonies have more soldiers in areas where&nbsp;Lestrimelitta&nbsp;attacks are more common16. Ten of the 28 studied species are known victims ofLestrimelitta,&nbsp;whose attacks frequently destroy colonies29. We found that victims of robber bees are significantly more likely to have larger guards than non-target species (70% vs.&nbsp;16.7%). Having larger guards could benefit colonies as body size is likely to affect the ability to fight off intruders9.

Four of five transitions towards increased guard size occurred during the last 10 million years, a time period of global cooling36&nbsp;and an increase in seasonality37. It is possible that these climatic changes further amplified the need to store and defend energy sources, such as honey and pollen. Michener38, for example, observed that stingless bees store more honey in cooler climates. In honey bees, the need for colony defence dramatically increases as foraging conditions worsen towards winter and colonies start to rob honey from other colonies39. However, honey bees and eusocial wasps might not need specialist soldiers because all workers are equipped with a powerful sting5. In stingless bees, the emergence of dangerous robbers and an environment that favored the storage of valuable resources might represent two important incentives for having larger and, therefore, stronger entrance guards. Previous studies have shown that a more dangerous environment can lead to increased investment in colony defence in species that already have soldiers16,40. Our study extends this theme and identifies a specific threat (Lestrimelitta&nbsp;robber bees) as a possible selective force for the evolution of new sub-castes and increased social complexity in Neotropical stingless bees.




Methods


Study species

Colonies originated from five different regions in Brazil (Supplementary Table&nbsp;1). We used both wild colonies and colonies kept in wooden hive boxes. All colonies foraged on natural food sources. We estimated relative colony size by measuring colony traffic at the entrance16. We counted bees entering a colony for 1–2 min on a day with good foraging conditions, once in the morning and once in the afternoon (between 10 a.m.–12 noon and 1 p.m.–3 p.m.). For analysis, we averaged the measurements per colony and the colony measurements per species to obtain a species specific estimate of relative colony size (Supplementary Table&nbsp;1) (no traffic data was available for both time periods for&nbsp;Scaura latitarsis&nbsp;due to the remoteness of the sampling location). Our values correlate well with published colony size estimates (correlation-coefficient&nbsp;r = 0.88,&nbsp;N = 11 species; estimates taken from21).

Capture of workers

We studied 3.8 ± 1.8 colonies (mean ± s.d., range: 2–8) and 70.5 ± 22.6 workers (range: 28–123) per species (Supplementary Table&nbsp;1; collection licenses: Ibama#26649-5 and SISBIO 27254-1). For forager collection, we caught returning pollen foragers at the colony entrance in 26 species. In the cleptoparasitic&nbsp;Lestrimelitta limao&nbsp;and the necrophagous&nbsp;Trigona hypogea, two species that do not visit flowers, we collected bees that were leaving the nest. Nests of stingless bees are defended by entrance guards19,22. Guards were identified by their typical defensive posture at the entrance and then captured. We used forceps, plastic bags, or Eppendorf tubes to capture bees, depending on the species and worker type. Other methods, such as netting of several bees at the entrance have been used in other studies41, but they do not allow for a distinction between guards and foragers.

Guard and forager size measurements

Bees were freeze-killed and their head width and wet weight (without pollen) measured. The head was removed from the body and laid onto a 1 mm graph paper. We photographed the heads with a Nikon D7000 digital camera with a macro lens (Nikon AF-S VR 105 mm), positioned at a standardized distance from the graph paper. Subsequently, head width was measured using ImageJ 1.46 (measurement error: ± 0.01 mm,&nbsp;N = 46 measurements). Weight was measured to the nearest 0.1 mg using a Sartorius TE64 high precision balance. In two species, wet weight was not measured because the remote sampling locations made this impossible. Additionally, workers of&nbsp;Frieseomelitta varia&nbsp;were not weighed because body parts are naturally covered in resin. Head width, but not wet weight was used to compare the size of guards and foragers because wet weight might be confounded, e.g., by foragers returning with nectar in their crops.

Worker size variation for all species was measured using the coefficient of variation (CV) for head width corrected for sample size42. Worker size variation is routinely used as an overall measurement of worker polymorphism and caste diversity13,27. We calculated the CV for each colony and averaged the values to obtain the species specific CV. To estimate queen-worker dimorphism, we used published values where they existed21&nbsp;and measured queen-worker dimorphism where we had access to queens (this was only possible in colonies kept in wooden hives), using the method used by ref.&nbsp;21: we averaged the length from the tip of the head to the tip of the abdomen of three physogastric queens and three workers per species (1 queen and worker per colony; in&nbsp;S. bipunctata&nbsp;only two queens were available).

To obtain a relative and continuous measure of worker differentiation, we expressed the size difference between guards and foragers in relation to overall worker size variation. This DI of a particular species is the ratio between the relative difference in head width between guards and foragers and the overall standard deviation of head width in a colony:&nbsp;∣HWGuard−HWForager∣HWStDevofcolony∣HWGuard-HWForager∣HWStDevofcolony. We calculated the DI for head width and head melanization (in&nbsp;Frieseomelitta) for each colony and averaged the values to obtain a species specific DI. Thus, a DI = 1 means that the size difference between guards and foragers corresponds to 1 standard deviation of the overall worker sample. The DI provides a straightforward way of comparing the relative degree of differentiation in different species and different morphological traits.

Quantifying melanization differences in Frieseomelitta varia

We discovered that guards and foragers of three&nbsp;Frieseomelitta&nbsp;species were of different color (we also found this in&nbsp;Frieseomelitta doederleini; however, we only had individuals of one colony) (Fig.&nbsp;1f; and Supplementary Fig.&nbsp;1a). Color differences were most obvious in the head area, the abdomen and the legs. We quantified the differences by measuring the darkness ("melanization"). We photographed each individual in standardized light and magnification conditions and transformed the images to 32-bit grayscale with ImageJ 1.46. We then measured the average gray level in the clypeus. The melanization level&nbsp;mwas calculated as&nbsp;m = 1−grgr, where&nbsp;g&nbsp;is the average gray level, and&nbsp;r&nbsp;is the reference gray level measured on the white background43.

Quantifying cuticle thickness in&nbsp;Frieseomelitta varia

To test whether the darker&nbsp;Frieseomelitta varia&nbsp;guards had a thicker cuticle, we caught one guard and one forager from nine different colonies (nine guards, nine foragers) and sectioned the cuticle in three different parts of the clypeal area of the head to measure the thickness of the cuticle using transmission electron microscopy (Jeol-Jem-100cx-II Electron Microscope). Thinly cut head slices were fixed in glutaraldehyde 5% and washed three times in sodium cacodylate 0.1 M. Subsequently, the thickness of the cuticle was measured using ImageJ 1.46.

Statistical analysis

All tests were done in R 3.044. We used LME models to compare guard and forager head widths in each species. We used a Gaussian error distribution and included colony as a random effect to control for non-independence of data from the same colony45. Since we tested 28 species, we corrected&nbsp;P-values table-wide (Table&nbsp;1) to avoid false positives (false discovery rate) using the Benjamini and Hochberg correction46. We used an LME and included bee nested within colony as random effects to test if guards in&nbsp;Frieseomelitta varia&nbsp;have thicker cuticles than foragers.

To test for allometry within species, we log10-transformed all head width measurements and plotted them against the log10-transformed cube root of the wet weight. This allowed us to determine whether the relationship between the two traits is isometric or allometric. This is because the slope&nbsp;b&nbsp;of the regression log (y) = log (a) + b&nbsp;log (x) equals the power term of the geometric relationship&nbsp;y = axb, with&nbsp;b ≠ 1 indicating allometry and&nbsp;b = 1 indicating isometry4,6. We used reduced major axis regression (model II) to estimate the slopes and to test if they differed significantly from isometry47.

When exploring relationships between traits across species, we used GLS models while correcting for phylogenetic dependence and assumed that traits evolve under a Brownian motion model48. Continuous variables were logarithmically transformed before analyses48. The phylogenetic framework for the comparative analysis of our species (Fig.&nbsp;1a) relied on the phylogenetic results of Rasmussen and Cameron18, complemented with information provided by G.A.R. Melo (pers. communication). The chronogram from Rasmussen and Cameron18&nbsp;was pruned to only include the taxa relevant for this study. Time-proportional estimates for most branch lengths are available18, except for the relationships among species of&nbsp;Frieseomelitta&nbsp;and&nbsp;Scaptotrigona. We used two trees with different sets of branch lengths for species of these genera (divergence time between species = 2 million years vs.divergence time between species close to 0) to evaluate the robustness of the results in face of the phylogenetic uncertainty. The two different trees yielded nearly identical results; hence, we present the results of only one of the two trees (divergence time = 2 my).

To study when and how often worker differentiation evolved (i.e., species with larger guards), a Bayesian framework was used for the stochastic reconstructions of character states (with vs.&nbsp;without larger guards)49,50,51. We ran 1,000 simulations of a stochastic process of these binary character state changes across the tree branches. A prior probability of equal character state changes was assumed, and the posterior density of stochastically mapped character history was plotted on the phylogeny (Fig.&nbsp;1). The visualization of the aggregate result of the 1,000 stochastic maps was done using the function densityMap of the R phylogenetics package phytools52. Maximum likelihood and parsimony reconstructions were also run, mainly to evaluate the influence of branch lengths on the interpretation of character evolution. Both analyses were run in Mesquite53&nbsp;choosing the option "trace character over trees": the ML criterion54&nbsp;employed the Mk1 model (all changes equally probable); the parsimony criterion applied Fitch optimization55. We used Pagel's model of the correlated evolution of two binary traits24, implemented in the fitPagel function of the phytools package to (1) test if species with negative allometry are more likely to have larger guards and (2) test if known target species ofLestrimelitta&nbsp;robber bees are more likely to have guards of increased size. This method controls for the non-independence of closely related species (e.g., among&nbsp;Tetragonisca&nbsp;and&nbsp;Frieseomelitta). Having larger guards (y/n) was used as the dependent variable, being a target species (y/n) was used as the predictor.

Data availability

The data supporting the findings of this study will be made available by the authors upon... ( continua em&nbsp;http://www.nature.com/articles/s41467-016-0012-y )
















&nbsp;&nbsp;

Livro 2016. As musas do terceiro milênio. Volume II.

LARCEN, César Gonçalves.&nbsp;Mais uma lacônica viagem no tempo e no espaço: explorando o ciberespaço e liquefazendo fronteiras entre o moderno e o pós-moderno atravessando o campo dos Estudos Culturais&nbsp;[ebook]. / César Gonçalves Larcen - 2. Ed. - Canoas: César Gonçalves Larcen Editor, 2014. 102 p. ebook.: il.COMPRE AQUI:https://www.amazon.com.br/As-musas-terceiro-mil%C3%AAnio-desterro-ebook


&nbsp;&nbsp;

Livro 2016. As musas do terceiro milênio. Volume I.

LARCEN, César Gonçalves.&nbsp;Mais uma lacônica viagem no tempo e no espaço: explorando o ciberespaço e liquefazendo fronteiras entre o moderno e o pós-moderno atravessando o campo dos Estudos Culturais&nbsp;[ebook]. / César Gonçalves Larcen - 2. Ed. - Canoas: César Gonçalves Larcen Editor, 2014. 102 p. ebook.: il.COMPRE AQUI:https://www.amazon.com.br/musas-acham-terceiro-mil%C3%AAnio-Livro-ebook


&nbsp;&nbsp;

Livro 2014. Mais uma lacônica viagem tempo e no espaço. Segunda Edição (Ampliada).

LARCEN, César Gonçalves.&nbsp;Mais uma lacônica viagem no tempo e no espaço: explorando o ciberespaço e liquefazendo fronteiras entre o moderno e o pós-moderno atravessando o campo dos Estudos Culturais&nbsp;[ebook]. / César Gonçalves Larcen - 2. Ed. - Canoas: César Gonçalves Larcen Editor, 2014. 102 p. ebook.: il.COMPRE AQUI:http://www.amazon.com/dp/B01AGVB3D0?ref_=pe_2427780_160035660




Livro 2013. Pedagogias Culturais.

DOWNLOAD GRATUÍTO. FREEDOWNLOAD.LARCEN, César Gonçalves.&nbsp;Pedagogias Culturais: dos estudos de mídia tradicionais ao estudo do ciberespaço em investigações no âmbito dos Estudos Culturais e da Educação.&nbsp;Porto Alegre: César Gonçalves Larcen Editor, 2013. 120 p.




Livro 2011. Mais uma lacônica viagem tempo e no espaço. Primeira Edição.

DOWNLOAD PARCIAL.LARCEN, César Gonçalves.&nbsp;Mais uma lacônica viagem no tempo e no espaço: explorando o ciberespaço e liquefazendo fronteiras entre o moderno e o pós-moderno atravessando o campo dos Estudos Culturais.&nbsp;Porto Alegre: César Gonçalves Larcen Editor, 2011. 144 p. il.


Artigo 2015. Considerações sobre o ensino de Filosofia.

CALLONI, Humberto. LARCEN, César G.&nbsp;Considerações sobre o ensino de Filosofia, sua relação com a educação e a noção de meio ambiente.&nbsp;In:&nbsp;I-Sophia: revista eletrônica de investigações filosófica, científica e tecnológica. Ano I, Volume 1, número 2 (2015) - Assis Chateaubriand: JPJ Editor, 2015. Trimestral. ISSN - 2358-7482. Pg.144-158.


Artigo 2014. From modern chess to liquid games.

CALLONI, Humberto. LARCEN, César G.&nbsp;From modern chess to liquid games: an approach based on the cultural studies field to study the modern and the post-modern education on punctual elements. In:&nbsp;CRIAR EDUCAÇÃO Revista do Programa de Pós-Graduação em Educação.&nbsp;UNESC, v. 3, p. 1-19, 2014.


&nbsp;

Livro 2015. Tecnologia da informação e educação contemporânea.

DOWNLOAD GRATUÍTO. FREEDOWNLOAD.FIALHO, Arivelto Bustamante. QUADROS, Augusto Wagner Farias de. CARVALHO, Nilton Cezar.&nbsp;Tecnologia da informação e educação contemporânea. Porto Alegre: César Gonçalves Larcen Editor, 2015. 65p. il.




Livro 2013. Clusterização.

DOWNLOAD GRATUÍTO. FREEDOWNLOAD.LINCK, Ricardo Ramos. LORENZI, Fabiana.&nbsp;Clusterização: utilizando Inteligência Artificial para agrupar pessoas.&nbsp;Porto Alegre: César Gonçalves Larcen Editor, 2013. 120p. il.




Livro 2012. As regras do Truco Cego.

DOWNLOAD GRATUÍTO. FREEDOWNLOAD.AGUIAR, Vitor Hugo Berenhauser de.&nbsp;As regras do Truco Cego. Porto Alegre: César Gonçalves Larcen Editor, 2012. 58 p. il.