Sexual dimorphism in the badlands cricket (Orthoptera, Gryllinae, Gryllus personatus )

Sexual dimorphism (SD) is a common phenomenon in sexual species and can manifest in a variety of ways. Sexual size dimorphism (SSD) is commonly investigated, but it can be confounded with sexual shape dimorphism (SShD) if multivariate measures of size are not used. Univariate studies may also overestimate the prevalence or direction of SSD when the sexes are strikingly different in shape, which may be an issue in taxa such as Orthoptera and other terrestrial arthropods where maximum body size is strongly constrained. Here we tested for the occurrence of both SSD and SShD in the badlands cricket Gryllus personatus (Orthoptera, Gryllinae). We measured four body size dimensions—maxillae span, head width, prono-tum length, and mean hind femur length—and used multivariate methods to test whether male and female adult badlands crickets were sexually dimorphic in size and/or shape. All the univariate dimensions were sexually dimorphic, with males having wider heads and maxillae than females and females having longer pronota and hind femora than males, which indicates SShD. However, multivariate methods failed to detect SSD, instead confirming that the sexes primarily differ in body shape. We show how a simple ratio of head width to pronotum length captures SShD in badlands crickets and apply it to iNaturalist, a citizen science platform, to broaden our findings. We propose that orthopterists studying SD minimally measure head width, pronotum length, and hind femur length as a standard that will allow a more repeatable and generalizable assessment of the prevalence and direction of both SSD and SShD.


Introduction
Intraspecific differences between males and females, or sexual dimorphism (SD), are common in sexually reproducing organisms (Darwin 1871, Andersson 1994, Stillwell et al. 2010 and are thought to be caused by either intersexual competition for resources (Selander 1966), sex-specific equilibria (Blanckenhorn 2005), or some combination thereof. SD can take a variety of forms, from differences in behavior (e.g., parental care, reviewed in Kokko and Jennions 2008), development (e.g., Esperk et al. 2007, reviewed in Hopkins and Kopp 2021), and immunity (e.g., Bagchi et al. 2021, reviewed in Kelly et al. 2018 to differences in overall body size (sexual size dimorphism, SSD; reviewed in Fairbairn et al. 2007) and body shape (sexual shape dimorphism [SShD], e.g., Table 1). These latter two are of special interest because they: 1) are relatively easy to measure, 2) can impact other dimorphisms (e.g., sex differences in mobility, reviewed in Herberstein et al. 2017) as well as important life history traits (e.g., fecundity, reviewed for spiders in Foellmer and Moya-Laraño 2007), and 3) unlike other dimorphisms, SSD and SShD are preserved in the fossil record making it possible to study their long-term evolution (e.g., Martins et al. 2020). In organisms such as arthropods that have an exoskeleton, maximum body size and therefore SSD may be evolutionarily constrained (reviewed in Whitman 2008 and references therein), placing greater selection pressure on the evolution of body shape and thus SShD.
The order Orthoptera (crickets, katydids, grasshoppers, and allies) display one of the highest degrees of SSD among insects (Stillwell et al. 2010), with most species displaying female-biased SSD (Hochkirch and Gröning 2008). Most of these instances of SSD are based on total body length as an index of body size, because it is a commonly reported metric of size in the taxonomic literature from which the bulk of these data were gleaned (Hochkirch and Gröning 2008). However, because total body length includes the relatively soft and flexible abdomen that can fluctuate in size, the rate of SSD should be interpreted with caution (Hochkirch and Gröning 2008). Furthermore, because these data rely on a single morphological dimension, conclusions about the extent and direction of SSD are confounded with SShD.
The badlands cricket, Gryllus personatus (Uhler 1864), is a midsized field cricket (Orthoptera, Gryllinae) inhabiting clay-type badlands in the southwest United States (Weissman and Gray 2019). As typical for most field crickets, males have specialized forewings (tegmina) that they rub together to produce song, and females have a long, thin ovipositor that they use to deposit fertilized eggs into soil (Weissman and Gray 2019). Beyond these sex-limited characteristics, there is no published account of any other sexually dimorphic morphology in the badlands cricket. Our main goal with this study is to test the hypotheses that male and female badlands crickets differ in body size and/or body shape (i.e., display SSD and/or SShD, respectively). We measured four morphological dimensions that are predicted to be sexually dimorphic and then used multivariate statistical methods to assess both SSD and SShD.

Methods
Study animals and care.-Individuals used in this study were the offspring of approximately 60 late instar nymphs (30 males, 30 females) supplied by David Gray (California State University, Northridge) from his laboratory colony of badlands crickets, originally collected from Winslow, Arizona, USA. Crickets were housed in conditions like those described in Judge and Bonanno (2008) at the Department of Biological Sciences, University of Lethbridge. Briefly, hatchlings were added to a large plastic bin (48 cm long, 35 cm wide, 31 cm high) containing layers of egg cartons for shelter, glass shell vials filled with water and stoppered with cotton for moisture, and ground cat food (Iams Original with Chicken; Iams, Mason, Ohio, USA) and ground rabbit food (Martin Little Friends; Martin Mills Inc., Elmira, Ontario, Canada) to provide a variety of food choice (cat food is high in protein, whereas rabbit food is high in fiber). Environmental conditions in the lab during rearing were 25°C, 70% relative humidity, and 12 hours light:12 hours dark daily light cycle. The badlands cricket was to be included in a larger comparative study of aggressive behavior, but this colony had to be euthanized (-20°C for 24 hours) when the study was ended because the second author accepted a fulltime faculty position at MacEwan University. All individuals that were in the colony were preserved separately in 70% ethanol for later measurement.
Measurement of morphology.-We measured five morphological dimensions in all individuals: head width, maxillae span, pronotum length, and both left and right femur length using a methodology similar to that of Judge and Bonanno (2008). Briefly, each individual was removed from their container and dissected to remove the head and both hind femora (at the juncture with the hind coxae) and placed in a standardized position submerged in 70% ethanol under a stereomicroscope (M5; Wild, Heerbrugg, Switzerland) with an attached phototube (Martin Microscope Company, Easley, South Carolina, USA) and digital camera (INFINITY 1-3C; Teledyne Lumenera, Ottawa, Ontario, Canada). We used INFIN-ITY CAPTURE v5.0.2 (Teledyne Lumenera) to capture three images: 1) the ventral head perpendicular to the transverse plane, 2) the dorsal thorax perpendicular to the frontal plane, and 3) the lateral femora perpendicular to the sagittal plane. These photographs were used to place landmarks using the programs tpsUtil and tpsDig2 (SB Morphometrics, https://sbmorphometrics.org/), and the landmarks were converted to linear dimensions using basic trigonometry in Excel (Microsoft Corporation, Redmond, Washington, USA). The landmarks used for each linear dimension are described in detail in Judge and Bonanno (2008, see Fig. 1 therein), and the image capture and morphological measurement procedures are explained in more detail in Dupuis et al. (2020). All photographs and the resulting measurement data used for our analysis are freely available at Dryad (https://doi.org/10.5061/ dryad.qjq2bvqkw).
Statistical analysis.-We reduced the number of morphological variables from five to four by using the mean of the left and right femur lengths. Then we used a multivariate general linear model with sex (male or female) as the independent variable and the four morphological variables (head width, maxillae span, pronotum length, and mean femur length) as dependent variables to test for sex-related differences in morphology. Kolmogorov-Smirnov tests were used to assess the normality of the residuals of all statistical analyses. We used IBM SPSS Statistics Version 28.0 (IBM Corporation, Armonk, New York, USA) for all analyses, which were carried out at a Type 1 error rate set at 5%.

Results
The head width, maxillae span, pronotum length, and left and right femur lengths of 167 (71 males and 96 females) adult G. personatus were measured. One male was excluded Table 1. Selected published descriptions of sexual shape dimorphism in the Orthoptera. Choice of what morphological dimension is considered the focal shape variable and what is considered a reference trait reflects the original publication and is presumably chosen to reflect a functional hypothesis. Obviously, this polarity can be reversed, in which case the direction of dimorphism would be reversed (e.g., female G. pennsylvanicus have longer hind femora than males for a given head width; see also figure S2 in Judge and Bonanno 2008). Journal of orthoptera research 2023, 32 (2) were dimorphic in just body shape or in both body shape and overall body size. We investigated sexual dimorphism in overall size by conducting two separate analyses. First, we calculated the geometric mean of the four morphological measures as an index of overall size (Mosimann 1970) and compared males and females using a t-test. Adult G. personatus were not sexually dimorphic in geometric mean size (adults: t 138 = 1.318, p = 0.190). Second, we conducted a principal components analysis (PCA) to reduce the four measured variables to a limited number of uncorrelated principal components (PCs), where PC1 represents overall size and other PCs represent latent shape variables (Jolicoeur 1963, Cadima andJolliffe 1996). Although only PC1 had an eigenvalue over 1, we also extracted PC2 (Table 3) because we had an a priori hypothesis regarding shape difference between the sexes. We tested for size and shape sexual dimorphism using separate t-tests. Adult G. personatus were dimorphic in PC2 (t 138 = 16.961, p < 0.001) but not PC1 (t 138 = 0.888, p = 0.376; Fig. 1).
To further explore adult sexual dimorphism, we conducted a discriminant function analysis (DFA) to find out whether there was a linear combination of our measured variables that could accurately predict the sex of individual adult G. personatus. The DFA resulted in a significant linear combination of measurements (χ 2 4 = 167.489, p < 0.001) that successfully identified the sex of adult G. personatus 94.3% (66/70) of the time for females and 91.4% (64/70) of the time for males. The resulting canonical dis-  Table 3 for factor loadings. Table 2. Means ± standard deviations (range in parentheses) of five measures of size in the badlands cricket (Gryllus personatus). Mean femur length is the average of left and right femora, and geometric mean size is the fourth root of the product of head width, maxillae span, pronotum length, and mean femur length. N = 70 for both males and females.  from further analysis because he had deformed forewings, and 26 females were excluded using a random number generator to even the sample sizes for males and females at 70 apiece (Table  2). Kolmogorov-Smirnov tests for normality revealed that the residuals from the following statistical tests were normally distributed (all p > 0.083). A multivariate GLM with sex as the fixed factor and maxillae span, head width, pronotum length, and mean femur length as dependent variables revealed overall sexual dimorphism (F 4,135 = 81.894, p < 0.001), although post-hoc tests showed that the direction of dimorphism depended on the trait measured. Adult males had wider maxillae spans (F 1,138 = 54.506, p < 0.001) and wider heads (F 1,138 = 10.492, p = 0.002), whereas adult females had longer pronota (F 1,138 = 13.587, p < 0.001) and longer femora (F 1,138 = 7.217, p = 0.008) ( Table 2). Given that the direction of sexual dimorphism varied across linear dimensions, it was not clear whether males and females criminant function was positively correlated with head width and maxillae span and negatively correlated with pronotum length and mean femur length (Table 4).
Finally, we wanted to test whether the SShD we detected in labreared badlands crickets was generalizable to the species. First, we calculated the ratio of head width to pronotum length. This ratio variable was sexually dimorphic in adults (t 138 = 11.520, p < 0.001) and was highly positively correlated with both PC2 (r = 0.917, p < 0.001) and the discriminant function (r = 0.821, p < 0.001). To assess the generalizability of this ratio, we used the online natural history website iNaturalist to collect images of wild adult G. per-sonatus and measured the ratio of head width to pronotum length using the same procedure as above. We chose only observations that had 1) at least one photo taken from above and perpendicular to the frontal plane and 2) attained the status of "Research Grade", which meant that at least two people had agreed on the species-level identification with no dissenting opinions. This selection procedure resulted in 10 useable observations (9 females and 1 male). Because of the small sample size, we did not perform a statistical analysis comparing the head width:pronotum length ratios of wild crickets to lab-reared crickets. In wild crickets, as in lab-reared crickets, the male had a bigger ratio than females, and the ratios of wild crickets were less than the ratios of lab-reared crickets, although this difference was less than 5% (Fig. 2).

Discussion
In this study, we tested whether the badlands cricket, Gryllus personatus, displayed SSD, SShD, or both. Of the four morphological dimensions that we measured, all were highly positively correlated, and all were sexually dimorphic in adults but in contrasting directions. Adult females had longer hind femora and longer pronota but narrower heads and smaller maxillae spans than adult males (Table 2, Fig. 3), clearly indicating SShD. Because the direction of sexual dimorphism varied by morphological dimension, it was unclear whether badlands crickets were sexually dimorphic in overall body size. We addressed this question in two ways: 1) we compared adult males and females on the geometric mean of all measured variables (GMS), and 2) we used principal components analysis (PCA) to extract a multivariate measure of size (principal component 1, PC1) and an uncorrelated PC2, which can be interpreted as a measure of shape (Jolicoeur 1963). Adult males and females differed on PC2 but not PC1 or GMS, indicating that adult badlands crickets are sexually dimorphic for shape but not size. To further explore SD in the badlands cricket, we conducted a DFA that extracted a linear combination of the measured variables that accurately identified the sex of adult crickets at least 91% of the time. The resulting discriminant function had factor loadings that closely mirrored those of PC2, namely that head width and maxillae span loaded in the opposite direction as pronotum length and mean femur length. These patterns are consistent with the divergent univariate patterns of sexual dimorphism (Table 2) and describe a pattern of SShD whereby adult males have larger heads and mouthparts and adult females have larger thoraxes and hind legs.
Males of many animals have relatively bigger heads and mouthparts than females, including lizards and snakes (e.g., Becker and Paulissen 2012, King et al. 1999, Kratochvíl and Frynta 2002, amphibians (e.g., Katsikaros andShine 1997, Zhang et al. 2020), fish (e.g., Laporte et al. 2018), mammalian carnivores (e.g., Gittleman and Van Valkenburgh 1997), beetles (e.g., Marlowe et al. 2015). and orthopterans (e.g., Kelly 2006, Walker et al. 2008, Judge and Bonanno 2008) (see Shine 1989 for a review of sexually dimorphic trophic structures). Amongst orthopterans, larger head size in males is thought to be the result of sexual selection because males compete for access to female mates by grappling with their mouthparts (Kelly 2006, Judge andBonanno 2008). In the fall field cricket, G. pennsylvanicus, males with proportionately larger heads were more likely to win aggressive contests, but only if those contests escalated to grappling with mouthparts (Judge and Bonanno 2008). Like most Gryllus species (Jang et al. 2008, Bertram et al. 2011, adult male badlands crickets compete aggressively with each other for females using their heads and mouthparts  to facilitate comparison of scaling relationships. Note that the axis labels are all contained along the diagonal so that each is both an x-axis label for any plots above and below and a y-axis label for any plots to the left and right. Thus, every pairwise combination of variables is plotted twice, with each variable appearing on the x-axis on one side of the diagonal and on the y-axis on the other. Journal of orthoptera research 2023, 32 (2) all 5 found evidence supporting sex differences in body shape (Adis et al. 2008, Bidau and Martí 2008b, DeBano 2008, Vincent and Lailvaux 2008, Weissman et al. 2008. Furthermore, of the 9 studies that evaluated SSD, all but one concluded that females were larger than males; none used a multivariate measure of size but instead evaluated SSD separately for one or more individual measurements (Table 5). It is unclear whether a multivariate measure of body size would have changed the conclusions of these studies, but until more studies assess both SSD and SShD, we will not know how often these two sexual dimorphisms confound or complement each other.
Although we failed to detect SSD using multivariate methods, the conclusion that adult badlands crickets are not sexually dimorphic for body size should be viewed with some caution as it may depend on the choice of measured dimensions. Choosing an appropriate index of body size is no simple task (Fairbairn 2007), and this is precisely because of shape variation within species, including 1) SShD, 2) polymorphisms (e.g., alternative male morphs in isopods, Shuster 1987), 3) age-related changes in body shape, and 4) condition-dependent effects on body shape (e.g., parasite effects). Many researchers use a single morphological dimension as an index of size (Fairbairn 2007). This practice has the advantage of convenience, standardization, and comparability, whereas multivariate measures of size may not be convenient and can be sample-dependent and therefore not comparable between studies (e.g., principal components). In insects, head width is often used as an index of size (Fairbairn 2007). Because of mounting evidence of relative head size difference between males and females in Orthoptera (e.g., Kelly 2006, Walker et al. 2008, Judge and Bonanno 2008 it is becoming increasingly obvious that, for studies of orthopterans where sex is a factor of interest, using head width as an index of body size is no longer appropriate. Failing any consensus on a single measure of size, we recommend a geometric mean of head width, pronotum length, and hind femur length. This measure is 1) multivariate, 2) representative (i.e., the three dimensions represent two body regions Table 5. Studies from a special issue on body size in Orthoptera that measured multiple homologous morphological dimensions in both males and females, where, in principle, it would have been possible to evaluate both SSD and SShD. Columns indicate the taxa studied, the number of morphological dimensions measured, whether SSD was evaluated (and if so whether a univariate or multivariate measure of body size was used), conclusions regarding the direction of SSD, and whether SShD was evaluated.  (D. Gray, pers. comm.), suggesting that the sexual dimorphism in head size relative to pronotum length may also be influenced by sexual selection through male-male competition. Conversely, the observed SShD may also reflect differences between the sexes in mobility, with females evolving longer legs and larger thoraxes (i.e., increase stride length and leg muscle mass, respectively) because sexually active female field crickets search for sedentary singing males (Alexander 1961) all the while attempting to avoid predation, which may be strongly influenced by jumping ability (e.g., Ercit et al. 2014). There are several mechanisms which may result in sex-specific optima for morphological (or other) traits (Shine 1989, Blanckenhorn 2005, and future research should investigate sex-specific mobility patterns, diet, burrow digging, and aggression and the adaptiveness of variation in head and mouthpart size versus thorax and leg size. Even though every morphological trait we measured in adult badlands crickets was sexually dimorphic in univariate analyses, our multivariate analysis failed to detect any evidence of SSD. This contrasts with the almost universal female-biased SSD in over 1500 species of Orthoptera reported in a recent review (Hochkirch and Gröning 2008). This difference is not surprising given that we used a multivariate approach to measuring body size, whereas, by necessity, Hochkirch and Gröning were constrained to use total body length, a univariate measure of body size that is widely reported in the taxonomic literature that formed the basis of their dataset (Hochkirch and Gröning 2008). We did not measure total body length because of the inherent variability in this measurement due to the effects on abdomen size of nutritional status, oocyte growth, and preservation artefacts (Hochkirch and Gröning 2008), and so our results are not directly comparable. However, our study raises questions as to the true extent of SSD and how often SSD is conflated with SShD. In a recent special issue on body size in Orthoptera (Whitman and Vincent 2008), of 13 studies that measured multiple homologous morphological variables in both males and females (representing 27 species), only 5 evaluated SShD, and and three morphological axes), 3) convenient (i.e., only three dimensions per individual that can be measured on both live and preserved specimens), 4) universal (i.e., all Orthoptera have these three structures, which is not the case for wings), 5) comparable (i.e., not sample dependent like PC-based size measures), and 6) insensitive to variation in individual condition and damage/preservation artifacts (i.e., does not include weight or dimensions of the abdomen, and component dimensions are rigid and shrink little with drying). Even if individual studies chose to base their analyses on a different index of size, widespread measurement of head width, pronotum length, and hind femur length would greatly facilitate comparative analyses of both SSD and SShD.
SShD variation can be measured in a variety of ways, including intersexual comparisons of 1) regression slopes, 2) second and higher order principal components, 3) values on a discriminant function separating males and females, and 4) ratios of different dimensions to an index of body size (e.g., shape ratios; Mosimann 1970). Ideally SShD studies should incorporate more than one of these methods, and to the extent that different methods result in similar conclusions, shape ratios offer a useful comparative function that is absent from the other multivariate, sample-dependent methods. Ratios are scale-independent and so can be calculated from any image regardless of magnification. In the badlands cricket, results from PCA, DFA, and a simple comparison of the ratio of head width to pronotum length all suggested the same conclusion: that males have relatively wider heads than females. We then used the simple ratio method to measure SShD in a sample of images of badlands crickets posted by citizen scientists to iNaturalist. The head width/pronotum length ratios of these wild crickets were within 5% of the averages of our lab-reared individuals, and the degree of SShD was similar in wild and lab-reared badlands crickets. It is worth noting that machine learning methods for image recognition, such as the one used by iNaturalist to suggest species identification, rely on scale-independent characteristics such as ratios of different dimensions.
In conclusion, we found evidence of SShD in adult badlands crickets: females had relatively longer hind legs and pronota than males, who had relatively wider heads and maxillae spans than females. A variety of multivariate methods failed to detect SSD, and although we cannot (nor wish to) claim that male and female adult badlands crickets are the same size, we do suggest that our results are cause to revise how body size is typically measured in arthropods in general and Orthoptera in particular. The geometric mean of three body dimensions-head capsule width, pronotum length, and hind femur length-has both the properties of universality, sample independence, comparability, and is multivariate. The widespread adoption of this body size measurement by orthopterists would open up enormous possibilities for comparative assessments of the prevalence and direction of both SSD and SShD.