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The Willmott similarity indices, over the first 4 months, for outside and inside temperatures, in sunny and shaded environments, with values close to 1, confirm that A. sexdens colonies were exposed to significantly different temperatures. The lowest values of this index for irradiance, differing between the sunny and shaded environments for internal temperature (in the initial chamber), indicates variation in this parameter between environments. Irradiance values close to 0 between environments represent differences between sunny and shaded areas, but the temperature of the initial chamber did not vary. The selection pressure from irradiance and, consequently, temperature, defines the ideal depth of the initial chamber for the founding queens16 to keep this parameter at values adequate for the fungus garden and the offspring8 in the field. The similar temperature, in the nests in the shaded environment, agrees with that reported for this leaf-cutting ant, of 24°C3, but this varies between species of these insects, being 25–28 °C for A. sexdens17, 27.5 °C for A. vollenweideri18 and 27 °C for A. heyeri19. This adaptation of an ideal depth to construct the initial chamber allows A. sexdens to adapt to different habitats in full sun and shade. The nesting process, habits and foraging strategies differ between A. bisphaerica and A. sexdens, with the former normally establishing their nests in full sun in areas with predominantly grass forages and the latter in shaded areas where it cuts dicot leaves14. Furthermore, differences in nest depth between these species may be related to soil temperature, which is lower in shaded areas7. For this reason, fungal chambers in exposed nests in pastures are deeper than in shaded areas in forests, as soil temperature is negatively correlated with depth7. Soil humidity and temperature act simultaneously due to the thermo preference of workers, resulting in the construction of shallower nests in cold soils and deeper nests in warmer ones7. Soil moisture also varies according to depth, affecting the nest-digging behavior of leaf-cutting ants7,15.The temperature in the shaded environment was higher than that reported for A. sexdens rubropilosa, from 24.82 ± 3.14 to 24.11 ± 1.30 °C at a depth of 5–25 cm underground, for optimal offspring development and, consequently, reduction in the lipid content of queens at high temperatures, without affecting their survival20. This is because the depth of the initial chamber excavated by the queen is adequate for colony success8,16.The different habitats occupied by the ant A. sexdens21, from dense forests to cerrado and caatinga may explain the greater depth and volume of the initial chamber of the nests in shaded than in sunny environments. However, the depth of the initial nests varies between Atta species with 7.5–12 cm, 6.5–13 cm, 15–25 cm, 10–30 cm, 10–15 cm, 11–34 cm, and 9–15 cm for A. colombica, A. cephalotes, A. texana, A. sexdens rubropilosa, A bisphaerica, A capiguara, and A. insulares, respectively1,13,15,22,23,24. The initial chamber volume is within the expected range for A. sexdens1,13 in both environments, with a chamber volume of 24.88 cm3 in a shaded area with eucalyptus plantation13. Different excavation efforts with the removal of small soil particles by the founding queen using her jaws in repeated biting motions25, subsequently discarded outside the nest8,16,26 may explain the greater volume of the initial chamber in the shaded area. The greater solar irradiation in sunny areas increases the temperature, with the higher soil temperature generating greater excavation effort and oxidative damage27,28, in addition to water loss, as described for seed-collecting ants29,30. Further, humid soils are easier to dig, which explains the greater volume of the initial chamber in the shaded area as found for the excavation behavior by Atta spp. in soils with different densities and moistures15,16,31.The higher mass of A. sexdens queens in the first month of the claustral phase than in the fourth, in both sunny and shaded environments, stems from a reduction in their body mass, due to the metabolism of the lipid content during the first 6 months following the flight, but with recovery in the subsequent months1. The mass loss is due to the use of body reserves by the queens to prepare and maintain the colony in the claustral phase, as stored lipids are important in the evolutionary history of the Attini tribe, from semi-claustral to claustral foundation32. The queen, with a claustral foundation, does not feed, remaining enclosed in the nest and rearing her initial offspring by metabolizing her own body reserves33, as reported for this ant species1. The selection pressure on the evolution of claustral foundation tends to minimize risk during foraging33 with a more viable adaptation being the storing of reserves in the body, as observed in our study. The greater biomass of the fungus garden in the fourth month is due to growth, but its values were lower than those reported for 4-month-old A. sexdens nests, from 2000 to 3000 mg1.The lower number of A. sexdens eggs in the first than in the third month is similar to that observed in laboratory colonies of this ant8. The irregularity in the egg production by the queen is due to hormone fluctuations regulated by the endocrine system, and is correlated with the activity cycle of the corpora allata during the 3 or 4 months of colony life34. This gland synthesizes the juvenile hormone, which acts in the oviposition of founding queens, as verified for females that underwent alatectomy34. This hormone acts in the fat body, initiating the synthesis of vitellogenin (glycolipophosphoproteins, with lipids and carbohydrates in its composition) to be deposited in the oocyte35. Thus, the production of offspring depends on body reserves (fatty body lipids and muscle mass protein), as the queen does not feed during the foundation period (claustral foundation). The lower production of small and medium workers in the first month than in the second, third or fourth months, agrees with that reported in A. sexdens nests1. The similar number of larvae over the 4 months is due to the duration of the larval period of A. sexdens, of around 25 days8, with new immature individuals produced monthly with overlapping generations, common in social insects. This overlap begins with larvae in the first month of nests and pupae, usually in the second month of ant nests in the laboratory8.The lower values of fungus biomass and number of eggs, larvae, pupae and small and medium workers of A. sexdens in nests in the sunny environment may be due to a higher incidence of solar irradiance increasing the variation in the internal temperature of the initial chamber. This agrees with reports that a lower incidence of solar irradiance improved the stability of the internal temperature of the initial chamber, favoring A. sexdens with narrow thermal tolerance range as it is a thermally protected underground species11. However, frequent heat peaks, with habitat-specific physiological consequences for subterranean ectothermic animals, are common in sunny areas11. The queen’s body mass, similar between environments, indicates a similar reduction of this parameter between them and their tolerance to temperature variations in this type of foundation. A reduction in the mass of A. sexdens queens is expected from the nuptial flight to the end of the claustral phase. The energy expenditure of A. sexdens queens, in carbohydrates and body lipids for the nuptial flight and nest excavation, was estimated at 0.58 J36 and during the claustral phase, they metabolize body lipids and proteins to survive and form the initial colony26,37.The higher mortality of A. sexdens nests in the sunny environment, during the claustral foundation, is due to a higher incidence of solar irradiance, increasing the variation in the internal temperature of the initial chamber and, consequently, the excavation effort and oxidative damage to the founding queens27,28, in addition to water losses as reported for seed-collecting ants29,30. This mortality may also be related to entomopathogens, unsuccessful symbiotic fungus regurgitation, excavation effort, density and soil moisture1,9,38,39.Atta sexdens founder queens were exposed to sunny and shaded environments with greater solar irradiance and, consequently, a greater variation range in the internal temperature of the initial chamber in the first environment. The shaded environment, with lower incidence of solar irradiance and greater stability of the internal temperature of the initial chamber, was more favorable for colony development, as confirmed by the biological parameters and greater survival of A. sexdens queens.
Atta sexdens female collection methods- after the nuptial flightAtta sexdens queens were collected at the Experimental Farm Lageado in Botucatu, Brazil in 2019 (22°50′37.3″S 48°25′38.3″W) on sunny days after heavy rains from late October to early November. Two hundred queens were collected using tweezers. They were stored separately in 250 ml pots with 1 cm wet plaster for 60 min prior to use. We had permission to collect Atta sexdens queen specimens.Experimental areasThe A. sexdens queens were individualized in two experimental areas: sunny—an open area exposed to Global Horizontal Irradiation with exclusive coverage of Paspalum notatum Flügge grass (N = 100) and shaded – an area exposed to Diffuse Horizontal Irradiation (50% shade screen—1.50 × 50 MT), in a plowed environment (N = 100). The soil is a superficial horizon of oxisols.The founding A. sexdens queens were individualized in the center of a square of land (50 × 50 cm) covered with a transparent bottle measuring 20 cm in diameter by 12 cm in height, delimiting the space to be drilled in the soil by the ant queens per experimental area of 25 m2 (Fig. S1).Development of early nests during the claustral phaseAtta sexdens queens were evaluated over 4 months following nest foundation, to monitor its development. A total of 25% of the successfully established nests were excavated per month by removing the colony with a gardening shovel. The number of eggs, larvae, pupae and adults was counted and the mass of the queen and the biomass of the fungus garden determined. The depth, width, length, and height of each nest were measured with the aid of a caliper. The estimated volume of each fungus chamber was based on a cylinder. A correction factor was used to calculate the volume of the chamber because they are rounded: V = πr2 (ch + r0.67), in which ‘r’ is the chamber base radius and ‘ch’ the cylinder height, measured by subtracting the maximum height of the chamber from its radius, ch = h − r40. Queen mortality was evaluated during the excavation of their nests.Temperature and radiation measurementThe temperatures of the external and internal environments (15 cm deep), in each area, were measured for 4 months, with Data loggers (Testo), after the foundation of the nest by the leaf-cutting ant. Global Horizontal Irradiation (GHI) was measured using an Eppley PSP Pyranometer and Diffuse Horizontal Irradiation by a Kipp & Zonen CM3 Pyranometer (Table 3). Solar measurements were obtained over a five-minute time scale (mean of 60 readings with scanning time every five seconds) in W/m2 by a CR300041 model data logger and stored in an ASCII file.Table 3 Instruments used to measure solar irradiance in nests of Atta sexdens (Hymenoptera: Formicidae) in sunny and shaded environments.Full size tableThe measurements were submitted to a quality control procedure to verify if their values were in accordance with pre-defined solar irradiance thresholds. This procedure consists of a series of checks on physically possible limits per component measured (Table 4). These checks were carried out according to the process created by the International Commission on Illumination (CIE) discarding erroneous measures to avoid compromising the processes of numerical integration or data processing.Table 4 Physically possible minimum and maximum values for each measurement of solar irradiance.Full size tableMeasures accepted as possible were those above 0 W/m2 and lower than the maximum stipulated limit, per component, according to the extraterrestrial solar irradiance (IE) (Eq. 1). This represents the maximum value reaching the top of the atmosphere, without attenuation by atmospheric elements (clouds, particles, among others). Values measured at the earth’s surface are lower than those at the top of the atmosphere. However, the phenomenon of multireflection when scattered clouds near the apparent location of the sun reflect part of the solar irradiance onto the sensor, increase the value measured even higher than the extraterrestrial irradiance over short periods45. For this reason, the global irradiance value can be up to 20% higher than that of the extraterrestrial one.The 1361 of Eq. (1), to calculate the extraterrestrial irradiance, represents the solar constant in W/m246, R the relation of the average dimensionless distance between the Earth and the Sun (Eq. 2) and Z the zenithal angle of the Sun (Eq. 3) in degrees47.$${text{I}}_{{text{E}}} = {1361}left( {text{1/R}} right) ,{{cos}}, left( {text{Z}} right)$$
(1)
$$begin{aligned} {text{R}} & = {1} – 0.000{9467};{text{sen}} left( {text{F}} right) – 0.0{1671};{text{cos}},left( {text{F}} right) – 0.000{1489}left( {{text{2F}}} right) \ & quad – 0.0000{2917};{text{sen}}left( {{text{3F}}} right) – 0.000{3438};{text{cos}},left( {{text{4F}}} right) \ end{aligned}$$
(2)
$${text{Z}} = {text{sen}} ,left(updelta right);{text{sen}}left(upphi right) + cos left(updelta right);cos left(upphi right);cos left(upomega right)$$
(3)
F, in Eq. (4), is the angular fraction of the date of interest in degrees, δ, at 5, the solar declination in degrees, Φ, at 6, the geographic latitude of the location in degrees (22.85) and ω, at 6, the clockwise angle in degrees.$${mathbf{F}} = {36}0^circ ;{text{D/365}}$$
(4)
$$begin{aligned} {{varvec{updelta}}} & = 0.{3964} + {3}.{631};{text{sen}}left( {text{F}} right) – {22}.{97};{text{cos}}left( {text{F}} right) + 0.0{3838};{text{sen}}left( {{text{2F}}} right) – 0.{3885};{text{cos}};left( {{text{2F}}} right) \ & quad + 0.0{7659};{text{sen}};left( {{text{3F}}} right) – 0.{1587};{text{cos}}left( {{text{3F}}} right) – 0.0{1}0{21};{text{cos}}left( {{text{4F}}} right) \ end{aligned}$$
(5)
$${{varvec{upomega}}} = left( {{12} – {text{Hd}}} right){15}$$
(6)
The d, in the previous expression, represents the day of the year, from 1 to 365 and the Hd, the hour and the tenth of an hour in degrees of the moment of interest.The values were numerically integrated, after applying the measurement quality control procedure, obtaining a solar irradiation value for the day in MJ/m2 representing the total energy received daily, on a horizontal surface of 1 m2.Statistical analysisThe null hypothesis that the mortality proportions (probabilities of success) of the founding queens of both groups are the same was submitted to the test of equal proportions.The null hypothesis that a data sample came from a normally distributed population was submitted to the Shapiro–Wilk test.Data structure fitting the ANOVA (completely randomized factorial scheme) assumptions were submitted to this analysis and to Tukey’s test for multiple comparisons of means. The Scheirer Ray Hare test is a nonparametric test used for a two-way completely randomized factorial design49. This procedure is an extension of the Kruskal–Wallis rank test allowing for calculation of the interaction effects and linear contrasts and were used for data structure that did not fit the ANOVA assumptions. Dunn’s test50 of multiple median comparisons was performed with a correction (the false discovery rate method) to control the experiment-wise error rate.The Willmott’s Index of Similarity (d) is a standardized measure of the degree of similarity between two data series ranging from 0.0 to 1.0 with the value 1.0 indicating a perfect match (two identical data sets), and 0 no agreement at all51. As an example, in the sunny environment, the indoor and outdoor temperature data were identical, which results in 1.0. The more identical, close, and concordant two data sets are, the closer to 1.0 they will be. The calculation of the index is presented with A and B representing two data sets whose agreement is to be evaluated.$$begin{aligned} A^{prime}_{i} & = A_{i} – overline{B} \ B^{prime}_{i} & = B_{i} – overline{B} \ d & = 1 – frac{{sumnolimits_{i = 1}^{N} {left( {A_{i} – B_{i} } right)^{2} } }}{{sumnolimits_{i = 1}^{N} {left[ {left| {A_{i} } right| – left| {B_{i} } right|} right]^{2} } }} \ end{aligned}$$The R companion package, ggplot252, FSA53, tidyverse54, and hydroGOF55 used is a free software environment for statistical computing and graphics R version 4.0.456. More