Getting a head in hard soils: Convergent skull evolution and divergent allometric patterns explain shape variation in a highly diverse genus of pocket gophers (Thomomys)

Background High morphological diversity can occur in closely related animals when selection favors morphologies that are subject to intrinsic biological constraints. A good example is subterranean rodents of the genus Thomomys, one of the most taxonomically and morphologically diverse mammalian genera. Highly procumbent, tooth-digging rodent skull shapes are often geometric consequences of increased body size. Indeed, larger-bodied Thomomys species tend to inhabit harder soils. We used geometric morphometric analyses to investigate the interplay between soil hardness (the main extrinsic selection pressure on fossorial mammals) and allometry (i.e. shape change due to size change; generally considered the main intrinsic factor) on crania and humeri in this fast-evolving mammalian clade. Results Larger Thomomys species/subspecies tend to have more procumbent cranial shapes with some exceptions, including a small-bodied species inhabiting hard soils. Counter to earlier suggestions, cranial shape within Thomomys does not follow a genus-wide allometric pattern as even regional subpopulations differ in allometric slopes. In contrast, humeral shape varies less with body size and with soil hardness. Soft-soil taxa have larger humeral muscle attachment sites but retain an orthodont (non-procumbent) cranial morphology. In intermediate soils, two pairs of sister taxa diverge through differential modifications on either the humerus or the cranium. In the hardest soils, both humeral and cranial morphology are derived through large muscle attachment sites and a high degree of procumbency. Conclusions Our results show that conflict between morphological function and intrinsic allometric patterning can quickly and differentially alter the rodent skeleton, especially the skull. In addition, we found a new case of convergent evolution of incisor procumbency among large-, medium-, and small-sized species inhabiting hard soils. This occurs through different combinations of allometric and non-allometric changes, contributing to shape diversity within the genus. The strong influence of allometry on cranial shape appears to confirm suggestions that developmental change underlies mammalian cranial shape divergences, but this requires confirmation from ontogenetic studies. Our findings illustrate how a variety of intrinsic processes, resulting in species-level convergence, could sustain a genus-level range across a variety of extrinsic environments. This might represent a mechanism for observations of genus-level niche conservation despite species extinctions in mammals. Electronic supplementary material The online version of this article (doi:10.1186/s12862-016-0782-1) contains supplementary material, which is available to authorized users.


Background
Animal populations modify their existing anatomy in response to selection. Functional morphology is therefore a compromise between adaptive forms and possible forms [1] given the organism's evolutionary history [2]. The range of possible adaptive forms is also dictated by what morphological changes can be produced by intrinsic processes such as development or allometry) [3,4]. In particular, allometry-the disproportionate shape change of a trait due to a change in body size-plays a key role in shaping the evolution of new forms [3]. However, because of limitations imposed by the available morphospace, phylogenetic constraints, and evolutionary time [5], these intrinsic processes can reduce the range of adaptations to new selection pressures. The impact of conflicts between morphological constraints and functional selection can be observed across phylogenetic scales, ranging from at the population level (e.g. [6,7]) and as large as the three major mammalian subclasses (e.g. [8,9]).
Fossorial mammals are often used as model organisms to understand the evolutionary interaction between the extrinsic environmental pressures and the intrinsic processes that generate the variation on which natural selection acts [10][11][12][13][14][15]. Fossoriality is well known to represent an immense selection pressure on the mammalian skeleton [12,16]. Digging requires 360-3400 times more energy per-distance than walking [17,18]. The remarkably speciesrich fossorial western pocket gophers (genus Thomomys) in northern California [19] are thus a good choice to investigate diverse adaptations to digging. The clade also has a well-established species-level phylogeny ( Fig. 1) [20,21]. In a relatively small geographic area, two subgenera (T. Thomomys and T. Megascapheus) have radiated into 10 taxa (5 species containing 7 subspecies; Fig. 1) that contend with varying soil and climate conditions at the confluence of coastal, montane, and desert basin regions [20,22]. Unlike most other animal genera, whose species tend to occupy very similar environments [2], Thomomys pocket gophers provide an opportunity to investigate morphological responses of closely related taxa to great variation in external conditions.
In response to the selection pressures of fossoriality, two regions of the pocket gopher skeleton in particular appear adapted to digging: powerful forearms reflect extensive claw-digging, and-often in regions of hard soil-skull modifications allow for prolonged toothdigging [16]. However, different taxa vary along this claw-to tooth-digging spectrum [23]. Body size is also a major factor in the evolution of pocket gophers, as there appears to be intense selection to reduce burrow dimensions as much as body size allows: this minimizes the volume of soil moved and the cross-section sheared while foraging underground [18,[24][25][26]. The exact energetic cost of digging thus depends on a species' body size, specific digging adaptations, as well as the local soil type [17,18]. As Thomomys gophers are territorial dietary generalists, competition seems to distribute the different species into neighboring, mostly non-overlapping ranges [22,27]. These range boundaries correspond with changes in soil, suggesting that interspecific differences in body size and digging adaptations confer competitive dominance to one species over another through maximizing foraging efficiency in the local soil [17,22,23,25,27].
Body size and tooth-digging present a potential morphological trade-off that may underlie the apparent shifts in competitive dominance of one species over its neighbors corresponding with subtle soil changes across very short distances-as little as a few meters [22]. Sustained digging with teeth, the hardest structures in the vertebrate body, requires a derived skull morphology of procumbent incisors (incisor tips with an anterior projection greater than 90°relative to the rostral plane) [16]. Several studies show that procumbent species use less energy in harder soils and/or have higher burrowing rates than their "orthodont" counterparts (i.e. those with the ancestral condition [28] of acutely angled incisors) [17,23,[29][30][31]. Increasing body size is associated with greater muscular strength and with an increased incisor angle [23]. An increase in rostral length, resulting in a larger incisor arc radius, appears to  [20,21]). Note that T. (M.) bottae canus, despite its species name, is more closely related to T. (M.) townsendii in the T. M. Townsendii clade than to the T. M. Bottae clade taxa. Note that the T. M. Bottae clade is presented as a soft polytomy, and support for internal nodes in the subgenus Thomomys is very low [20] underlie this allometric mechanism [32,33]. This seems to explain why harder soils are generally inhabited by larger species. In contrast, a large body size may be disadvantageous in softer, sandier, lower-clay soils because larger taxa must move a greater soil volume to create larger, less stable burrows [18].
In addition to allometry, wholesale craniodental rearrangements have also been implicated in the evolution of tooth-digging, and may provide a mechanism for increasing incisor procumbency without associated increases in body size [28,33]. Here, the posterior movement of the incisor root position creates a more obtuse angle with minimal changes in the shape or length of the rostrum [28,33]. This intrinsic process represents a key innovation in pocket gophers, having evolved at least three times in subgenus T. Megascapheus alone [28].
Forelimb adaptation is also expected to play a role in the evolution of gopher morphology. All Thomomys gophers claw-dig-even procumbent species preferentially use claw-digging when soil compaction does not require tooth-digging [23]. Therefore, procumbent tooth-digging species have more than one digging mode, compared to the ancestral orthodont species which must rely on clawdigging (aside from very limited employment of teeth to remove plant roots) [16]. It is therefore expected that orthodont species would have more derived limb long bones compared to tooth-digging species. In contrast to the mandible, which exhibits plasticity in response to harder foods [34], recent research on muscle attachment sites suggests that long bone shape is mostly determined through inheritance [35][36][37].
Overall, species within the genus Thomomys tend to conform to the expectation that body size and soil type are tightly linked [22]: subgenus T. Thomomys retains the ancestral condition [28] of a small body size and tends to inhabit softer soils [22], while the larger subgenus T. Megascapheus inhabits harder soils [22,27,28]. Females of the largest species, T. (Megascapheus) townsendii (245 g) weigh about four times those of the smallest species, T. (Thomomys) talpoides (64 g) [38,39]. The larger subgenus, T. Megascapheus, also tends to have more procumbent incisors, suggesting a role for allometry in the evolution of this cranial morphology [28]. Unexpectedly, the smallest taxa (two T. (T.) talpoides subspecies) break the genus-wide trend by inhabiting hard soils [27]. This exception could be due to digging adaptations arising from a more complex evolutionary mechanism than allometry alone. This suggests that pocket gophers adapt to fossoriality through a variety of intrinsic mechanisms, which interact differentially in taxa experiencing different selection pressures exerted by different soil types.
Here, we use the fine-grained taxonomic structure and geographic distribution of northern Californian pocket gophers to assess how environment, constraint, and intrinsic shape patterning processes may produce a diverse range of morphologies among closely related mammals. First, we test for shape divergence between the 2 subgenera, 3 clades, and 10 distinct taxa (species or subspecies; see Fig. 1) in cranial and humeral shapes using principal components analyses. Second, we investigate the variation in the impact of allometry on shape using MANCOVAs, allometry plots, and pairwise tests of homogeneity of slopes. Third, we visualize the association of shape with three soil conditions-previously shown to separate gophers into their respective ranges [27]-on cranial and humeral shape. Finally, we assess the evidence for convergent evolution within the genus by comparing forelimb and skull morphologies between more distantly related taxa inhabiting similar soils (Fig. 2).

Samples
We examined 452 crania and 73 humeri from adult female specimens of genus Thomomys pocket gophers housed in the Museum of Vertebrate Zoology (MVZ) at the University of California, Berkeley in the United States (for sample sizes per analysis, see Fig. 2 and for samples sizes by taxa, see Additional file 1: Table S1). Because male pocket gophers continue to grow past sexual maturity, we included only female specimens to remove ontogenyrelated allometry [40]. Female specimens were included only if they were past sexual maturity based on the degree of suture closure (after [40]). MVZ specimen catalog numbers are given in Additional file 2: Table S1.
At least 25 crania represented each of the 10 distinct taxa present ( navus, had sufficient sampling to compare the shape variation between regional subpopulations (Additional file 3: Table S3). We included at least 20 humeri from each of the 3 major clades within Thomomys in the study area (Additional file 1: Table S1). For brevity, we refer to the 10 sampled distinct species or subspecies as "taxa" throughout.

Soil data
Soil data associated with each specimen were taken from Marcy et al. (2013) [27]. Geo-referenced soil data combines genus Thomomys locality data from Arctos and soil data from the U.S. Department of Agriculture, National Resources Conservation Service (NRCS) STATSGO 2006 Digital General Soil Map of the United States [27]. The dataset for this study included values for percent clay, bulk density (oven dry at 1/3 bar water tension), and linear extensibility-each reported as a weighted average aggregation of the conditions found between the soil surface to a depth of 20 cm.

Geometric morphometrics
Cranial and humeral shape were captured from digital photographs in two views each: crania were photographed in ventral and lateral views, and humeri in anterior and lateral views. We followed the Grinnell Resurvey Project's protocol for photography [41] (see also Additional file 4: Supplementary methods). Crania were photographed according to protocols by Fernandes et al. (2009) [48]. Humeri were photographed according to protocols by Steiner-Souza et al. (2010) [42]. A ruler adjusted to be level with the photographic plane provided a standardized scale during image processing.
Cranial and humeral shapes were characterized using 2D landmarks and semilandmarks (n numbers listed in Fig. 2b; shown on specimen photos in Additional file 5: Figure S1 with definitions given in Additional file 6: Table S4), digitized in tpsDIG (v 2.17) [43]. To reduce acquisition error, only one of us (AEM) obtained photographs and landmarks. Photographs were randomly sorted prior to digitizing to eliminate systematic error. We assessed operator error using 20 photographs of one specimen taken throughout the data acquisition process for 4 individuals representing each of the clades and the range of body sizes in our sample (after [44]). The mean estimated measurement error based on centroid size variance averaged 0.05 %. Photographs of specimens with evidence of arthritis, broken incisors, or other damaged elements were removed (7.6 % of the original dataset).
For each cranial and humeral dataset, the landmark coordinates were aligned using a generalized Procrustes superimposition implemented in the R package geomorph (v. 3.0) [45,46]. Superimposition of each set of landmark coordinates removes differences in size, position, and orientation, leaving only shape variation [47]; semilandmarks were permitted to slide along their tangent directions in order to minimize Procrustes distance between specimens [48]. The resulting Procrustes tangent coordinates for each view were used as shape variables in all subsequent analyses (Fig. 2c).

Statistical analyses
All of our statistical analyses were performed in R (v3.2.3) [49] using the R package geomorph (v. 3.0) [45,46]. We performed a principal component analysis (PCA) on the shape variables of each dataset to visualize the variation among individuals (Fig. 2d). To interpret the shape variation described by each PC axis, we used thin-plate spline deformation grids [50], which illustrate the shape change from the mean shape to the minima and maxima of each PC axis (e.g. see Fig. 3).   Fig. 2 Methods and analyses summary. Soil data included three indices of conditions contributing to soil hardness: percent clay, bulk density, and linear extensibility (i.e. how much soil hardens when moisture is low); 2D photographs were taken of each specimen a. Landmarks (LMs) and semilandmarks (semi-LMs) were used to capture both homologous points and curves, respectively across the different taxa b. All of our statistical analyses were performed in the R environment using the geometric morphometric package, geomorph c-h. The last figure and table present an interpretative summary of the shape with soil type i We estimated the allometric relationships between cranial shape and size, and humeral shape and size, by running multivariate analysis of covariance (MANCOVA) models using log-transformed centroid size, taxa affiliation, and their interaction as model effects (Fig. 2e). Statistical significance of each analysis was evaluated using Goddall's (1991) [51] F-ratio and a randomized residual permutation procedure using 1000 iterations [52]. If the interaction terms were significant, this indicated that the static allometric trajectories (i.e. "slopes"-the shape change in multivariate space associated with size variation in adult centroid sizes) differed between taxa. When this was the case (in the cranial views, see Fig. 2e), we performed a pairwise test for homogeneity of slopes using the "advanced.procD.lm" function in geomorph (Fig. 2f). These tests identified which taxa significantly differed in allometric slope from each other. In these analyses, the pairwise angles between taxa-specific slopes were calculated in degrees and assessed for similarity through permutation using 1000 iterations. Taxa-specific slopes were visualized using plots of the first principal component of the predicted shape scores from the multivariate regression against log-transformed centroid size (after [53]) (Fig. 2g). Patterns of static allometry derived from each view's MANCOVA were also visualized using the regression score (after [54]).
To visualize how shape variations in the cranial and humeral views correspond to local soil conditions, specimen points in the cranial and humeral PCAs were colored according to the percent clay, bulk density, and linear extensibility they were found in (data from Marcy et al. 2013 [27]) (Fig. 2h).

Variation in cranial shape
Principal component analyses (PCA) (n lateral = 452; n ventral = 420) revealed that the first two principal component (PC) axes account for over half of the shape variation in both  Fig. 3a-f ). The remaining PCs each explained less than 7 % of variation. These results, and their relation to the digging modes known for Thomomys taxa, are summarized in Fig. 3g. The lateral cranial PC1 divides the two Thomomys subgenera: the larger-bodied subgenus T. Megascapheus taxa (reds and yellows) have more procumbent incisors (Fig. 3a, c), and the smaller subgenus T. Thomomys taxa (blues and greens) have less procumbent incisors (Fig. 3a, c). The distribution of taxa along ventral cranial PC1 is similar to their distribution along the lateral cranial PC1 with larger body size corresponding to deeper, more robust skulls (Fig. 3d, f) and smaller body size corresponding to more gracile skulls (Fig. 3d, f). On the PCA graphs of lateral and ventral cranial shape, subspecies of T. (Thomomys) talpoides (blues) and T. (Megascapheus) bottae canus (light yellow; note that this taxon is an unfortunately named member of the T. M. Townsendii clade) occupy the intermediate morphospace between the two subgenera (Fig. 3c, f). In summary, the lateral and ventral PC1 axes appear to reflect allometrically increased incisor procumbency and cranial robusticity, respectively.
The lateral cranial PC2 distinguishes between the taxa of the two subgenus Megascapheus clades, T. M. Bottae (reds) versus T. M. Townsendii (yellows) (Fig. 3c, f ). This divergence is based on T. M. Bottae taxa (reds) having distally displaced infraorbital foramens relative to T. M. Townsendii taxa (yellows) in addition to increased procumbency (Fig. 3b). Furthermore, the lateral PC2 almost completely separates the two smallest T. (T.) talpoides subspecies (blues) from the rest of subgenus T. Thomomys clade (greens). Similar to the T. Megascapheus divergence, this divergence within the small-bodied subgenus T. Thomomys is associated with increased procumbency and a distally displaced infraorbital foramen (Fig. 3b, c). The distal movement of the infraorbital foramen in both large and small taxa suggests that allometry-independent cranial rearrangement may underlie increased procumbency along this axis.
The ventral cranial PC2 also distinguishes between the taxa of the two subgenus T. Megascapheus clades (reds versus yellows; Fig. 3e, f ). This divergence in the ventral view is based on the greater size of ventral muscle attachment sites in T. M. Bottae taxa (reds) versus a dorsal-shift in the orientation of the foramen magnum in T. M. Townsendii taxa (yellows) (Fig. 3e). The largest taxa in the genus, T. (M.) townsendii, has the most dorsally shifted foramen magnum (Fig. 3e). Unlike the lateral PC2 results, however, procumbent T. Thomomys taxa (blues) do not diverge from nonprocumbent sister taxa (greens) in either foramen magnum location or ventral muscle attachment sites ( Fig. 3f). In summary, the distribution of taxa along lateral cranial PC2 do not always correspond to their distribution along ventral cranial PC2.

Variation in cranial allometry
The MANCOVAs confirmed a significant association between size and shape in both cranial views (P lateral = 0.001; P ventral = 0.001). Size explained about 20 % of the shape variation while phylogenetic affiliation ("taxa"; Fig. 1) explained about 38 % (Table 1). Furthermore, the MANCOVAs confirmed significant interaction terms between size and taxa for both cranial views (P lateral = 0.001; P ventral = 0.001; Table 1; Fig. 4b, e), indicating that allometric slopes differ between taxa. Subsequent pairwise slope tests (Fig. 4b, e) showed more instances of significant taxa-specific allometric slope divergences in the ventral view than in the lateral view. These results suggest that the allometric relationship between size and incisor procumbency is less labile than that between size and skull robustness (indicated by fewer significant values in Table 2 versus Table 3, Fig. 4b versus e). In other words, the allometric patterning of ventral view muscle attachment sites and of foramen magnum location appears to have greater variation than the allometric The effect of centroid size (a proxy for body size) on cranial and humeral shapes within the 10 distinct genus Thomomys taxa as evaluated by MANCOVA (details in methods). Degrees of freedom (Df) for each sums of squares (SS) of each term, model residuals, and the total are presented, along with the coefficient of determination (R 2 ), and the F ratio and associated P value. Statistical significance of the models was evaluated by permutation using 1000 iterations. Bold indicates p-values less than 0.05 patterning of incisor procumbency. This is consistent with the results from the cranial shape PCAs. The allometric plots visualizing the variation detected in the MANCOVAs reveal substantial differences in allometric slopes and in intercepts between taxa (Fig. 4). The significant slope differences preclude tests for intercept differences; however, both lateral and ventral view plots show that many taxa separate along the y-axis such that intersections would not occur in the biologically possible morphospace (Fig. 4b, e).  (Fig. 4b, e).
Upward shifts in y-intercepts appear to identify the tooth-digging taxa compared to claw-digging relatives (Fig. 3g, Fig. 4b, e; Fig. 5 Fig. 4d, e). The lateral cranial view shows the same pattern of y-intercept upward shifts for tooth-digging in T. Megascapheus taxa but not in the subgenus T. Thomomys taxa (indicated by overlapping blues and greens in Fig. 4b).
Taxa within a clade rarely exhibit significantly different allometric slopes, however, three notable exceptions occur. First, a significant difference between the two T. Megascapheus Townsendii taxa appears to reflect the nearly flat allometric slope of T. (M.) townsendii (dark yellow) in contrast to the steeper slope of sister taxon T. (M.) b. canus (light yellow), seen in both views (Tables 2 and 3; Fig. 4b, e). In support of this, the allometric slope of T. (M.) townsendii significantly differs from all other taxa in the ventral view (Table 3, Fig. 4e). A similar effect appears to occur within T. Megascapheus Bottae taxa in the significantly different lateral cranial allometric slopes of T. (M.) b. navus (light red) and T. (M.) b. saxatilis (dark red); these are also the two most procumbent taxa in the genus (Fig. 4b).
The third instance of within-clade significant allometric slope divergence involves the two subspecies of T. (T.) talpoides (Table 3; Fig. 4e). In the lateral cranial view,    procumbency appears to have less relation to centroid size for T. (T.) talpoides quadratus (dark blue) (indicated by significant differences with larger taxa in Table 2 and a flat slope in Fig. 4b), while the ventral cranial view, this taxon shows similar allometric patterns of skull robustness to other Thomomys taxa (non-significant values in Table 3; parallel slope to other taxa in Fig. 4e). By contrast, the ventral crania of T. (T.) talpoides fisherii (light blue) appear less robust with increasing centroid size (significant values in Table 2; negative slope in Fig. 4e), while its allometric relationship with procumbency is similar to that of the other clades (non-significant values in Table 3; parallel slope in Fig. 4b).
Splitting the dataset into regional subpopulations (Fig. 4c, f) reveals substantial diversity in allometric slopes which clearly contribute to differences in taxa-specific allometric slopes. The sample sizes for these subpopulations, however, are possibly too small for a confident identification of significantly different allometric slopes (Additional file 3: Table S3).

Variation in cranial shape in relation to soil
The PCAs of cranial shape colored by soil type demonstrate that the presumed ancestral taxa, T. (T.) mazama and T. (T.) monticola (greens) occupy the softest soils in the region (Fig. 6a-f ). Their sister taxa, however, (the two subspecies of T. (T.) talpoides [blues]) appear to inhabit soils of hardness comparable to the larger subgenus T. Megascapheus gophers (reds and yellows) (Fig. 6a-f). This is particularly visible in the lateral cranial PCAs (Fig. 6a-c). The least procumbent T. Megascapheus taxon, T. (M.) b. canus (light yellow), however, appears to inhabit soils of hardness similar to its more procumbent and robust sister taxon, T. (M.) townsendii (dark yellow, Fig. 6a-f).

Variation in humeral shape and its relation to soil
From the humeral views (n anterior = 73), only the first two anterior PC axes explained a meaningful amount of shape variation (PC1 anterior = 31.8 %, PC2 anterior = 15.0 %; Fig. 5a Fig. 6 The relationship between cranial and humeral shape with soil type. For all cranial and humeral PCs, positive scores correspond with shapes derived for digging in harder soils; convex hulls are colored according to taxonomy (Fig. 1) a-i. Points are colored according to soft, medium, and hard for each soil condition: percent clay a, d, g, bulk density b, e, h and linear extensibility c, f, i with bin categories after Marcy et al. 2013 [27] humeral view (Additional file 7: Supplementary results: lateral humeral view). PC1 of anterior humeral shape captured deltoid process size, an important muscle attachment site, relative to the lateral epicondyle (Fig. 5a). The anterior humeral PC2 captured the distance of the deltoid process from the humeral head, the size of the medial epicondyle relative to the articular surface, and the orientation of greater tuberosity (Fig. 5b). All of these shape changes associated with more positive values of PC2 increase the mechanical advantage for digging. Along PC1, the larger subgenus T. Megascapheus taxa (reds and yellows) tend to have more robust humeri with larger deltoid processes as compared to the smaller subgenus T. Thomomys (blues and greens) (Fig. 5a, c). The claw-digging T. Megascapheus Townsendii taxa, T. (M.) b. canus scores highly along both axes, meaning all of the claw-digging muscle attachment sites highlighted above have increased in relative size.
In comparison to cranial shape, the MANCOVA for humeral shape and size showed that a smaller proportion of shape (less than 8 %, compared to over 20 % in both cranial views) is explained by size (Table 1). Tests for differences in static allometry between taxa were all non-significant (Table 1). Interestingly, while the toothdigging T. M. Bottae taxa have slightly larger skulls than subgenus Thomomys taxa (Fig. 4), these two clades have humeri of overlapping centroid sizes (Additional file 8: Figure S2).
The first quadrants of the PCAs of humeral shape colored by soil type show that the most derived humeral shape belongs to the non-procumbent taxon T. (M.) b. canus (light yellow), which nonetheless inhabits hard soils (Fig. 6h, i) . The second quadrant captures a humeral shape associated with non-procumbent taxa inhabiting soft soils (Fig. 6g-i). The two bottom quadrants appear to capture a humeral shape of taxa with the ability to dig with their teeth (Fig. 6g-i). The smallest species in the genus, T. (T.) talpoides and the largest species in the genus, T. (M.) townsendii are intermediate between the humeral shape of species known to specialize in claw-digging and those that have adaptations for tooth-digging ( Fig. 6; Table 4).

Discussion
Our results reveal that different combinations of intrinsic shape-change processes appear to resolve conflicts of form and function presented by the rodent skeleton in the context of fossorial selection pressures. In genus Thomomys, body size change seems to mediate allometric shape changes which are likely adaptive in harder soils, with several exceptions. At the species and subspecies level, cranial and humeral shapes appear to exhibit finely distinguished adaptations to local soil conditions (Table 4). Furthermore, we identify several taxa pairs that inhabit soils presenting similar digging challenges yet exhibit diverging morphologies. This suggests a trade-off between procumbent tooth-digging shapes and body size that each of the three main clades balances differently. Together, these processes seem to generate the remarkable morphological diversity of this genus in which each even sister subspecies can diverge substantially, and distant relatives may converge on similar morphologies.

Procumbency evolves through changes in allometry and can interact with wholesale cranial re-arrangements
The genus Thomomys contains three clades, each appearing to evolve the procumbent condition required for prolonged tooth-digging in hard soils through different variations on two intrinsic processes: body size allometry resulting in a larger incisor arc and cranial rearrangements resulting in a more posterior incisor position (Fig. 7). Illustrating the first variant, procumbency in the largest member of genus Thomomys, T. (M.) townsendii, appears to have evolved through marked body size increase with minimal or no cranial rearrangement (Figs. 5 and 7). Interestingly, static allometric slopes vary widely across taxa; in particular, T. (M.) townsendii has the shallowest slope for its subgenus (Fig. 4). This might be explained if this species is at the limit of what allometry-related procumbency can produce alone.
Illustrating the second proposed variant of procumbency evolution, taxa in the sister clade to T. M. Townsendii, T. M. Bottae, appear to derive their extreme incisor procumbency through body size increase as well as incisor root posterior positioning. The combination of both static allometry and cranial rearrangements results in the greatest degree of procumbency within the genus and in fact the entire family of Geomyidae [23,55]. It is possible that having a more procumbent yet smaller body size than T. (M.) townsendii may allow T. M. Bottae taxa to dig in the hardest soils of the genus (Figs. 3, 6 and 7; Table 4). The phylogeny suggests that cranial rearrangements evolved quickly, in less than 1.93 Ma, which is the divergence date known for the split preceding the split between the T. M. Bottae and the T. M. Townsendii clades [20]. Similar to the pattern seen in T. (M.) townsendii, the most procumbent T. M. Bottae clade taxa, T. (M.) b. saxatilis also has a significantly more shallow allometric slope (Fig. 5), which suggests their shared morphology imposes an upper limit on size-related procumbency.
The third proposed variant of procumbency evolution, solely produced through cranial rearrangement, appears to underlie a previously unreported case of convergent evolution between subgenera, T. Thomomys and T. Megascapheus. Our results suggest that the smallest species in the genus, T. (T.) talpoides tooth-digs in soils of similar hardness as most T. M. Bottae clade taxa (Table 4; Figs. 6 and 7). Unlike T. M. Bottae clade taxa and T. (M.) townsendii, however, T. (T.) talpoides only displays a posteriorly shifted incisor root, while their strikingly shallow allometric slopes do not support an allometric process underlying their procumbency (Figs. 3, 5 and 7). As a result, T. (T.) talpoides's cranial shape more closely resembles that of taxa from the much larger, hard-soil-digging T. M. Bottae clade than their closest relative, T. (T.) monticola ( Fig. 7; Table 4). Again, the phylogeny suggests this change evolved relatively quickly: in less than 2.67 Ma, the divergence date for the split preceding the T. (T.) monticola and T. (T.) talpoides split (Fig. 1) [20]. Indeed, PC2 shows that the incisor position of T. (T.) talpoides is far more posterior and thus more derived than the T. M. Bottae clade (Fig. 3), possibly explaining its divergence from allometric slopes seen in most other genus Thomomys taxa, particularly in the ventral view (Fig. 4).

Allometric trajectories vary substantially among finely distinguished taxonomic levels
As the divergent allometric patterning within T. (T.) talpoides illustrates, a generalization from this study is that static allometric slopes of cranial shape can vary widely within one genus and even between subspecies. We found that the allometric slopes of regional subpopulations even within a single subspecies, like T. (M.) bottae navus, can vary dramatically. Indeed, as Fig. 4c  show, populations of this one subspecies display all three kinds of allometric slopes seen across the genus (general pattern, steeper slopes, and shallower slopes, including "negative" slopes). It is unclear whether these allometric slope variations represent rapid adaptation events of shape due to different soil conditions in situ, to soils they no longer occupy or that may not exist presently, or whether they are due to founder effects and genetic drift. The striking variation within this single subspecies, however, reveals the considerable diversity of shape provided through allometric processes readily available to natural selection.
The variation among intraspecific allometric slopes emphasizes the divergence between high-resolution patterns such as found here and larger-scale patterns of phylogenetically more-inclusive comparative studies. For example, an averaged subgenus T. Megascapheus slope would mask the T. M. Bottae clade's increased y-intercept reflecting cranial rearrangement as well as the shallower slopes that appear to correspond with limits on absolute procumbency in T. Post-cranial adaptation for claw-digging may reduce selection on the skull and represent an additional mechanism of fossorial adaptation Our analyses of humeral shape suggest that claw-digging adaptations present less of a trade-off between body size and digging ability compared to cranial adaptations of procumbency [56]. Indeed, while the tooth-digging T. M. Bottae taxa have slightly larger skulls than subgenus Thomomys taxa, these two clades have humeri of overlapping centroid sizes. Perhaps the bulky muscles associated with claw-digging and the larger heads associated with tooth-digging both contribute to burrow diameter [26] but limb size may be less coupled to burrow diameter than is skull size. Values for soil conditions that impact digging. Percent clay is the part of soil texture that confers plasticity, and in high amounts, makes soil difficult to manipulate. Percent sand is the heaviest part of soil texture, and in high amounts makes soil heavy but easy to break apart. Bulk density is an indicator of soil compaction calculated by the dry weight of soil divided by its volume-it can have high values due to compacted clay, or to a high percent of sand, the heaviest component of soil texture. Linear extensibility, a property of certain kinds of clay, quantifies the shrink-swell capacity of soil. This property causes soils to harden when dry, warm climatic conditions reduce the effective moisture in the soil Some humeral shape variations correspond with soil type, suggesting that the humerus is also under differential soilrelated natural selection. Indeed, in soils of intermediate hardness, more derived humeral shapes appear to reduce selection for more derived skull shapes. For example, the two sister taxa within the T. M. Townsendii clade, T. (M.) b. canus and T. (M.) townsendii, occupy similarly hard soils but show opposing shape trends in the humeri and in the crania: the former, smaller taxon scores highly on humeral PC axes but low on cranial PC axes, while these trends are reversed in the latter, larger taxon. The derived humeral shape also appears to explain how non-procumbent T. (M.) b. canus can inhabit soils of hardness similar to the more procumbent and robust taxa in subgenus T. Megascapheus (e.g. compare Fig. 6b and h). Similarly, the least procumbent T. M. Bottae clade taxon, T. (M.) bottae laticeps also scores highly on anterior humeral PC1 (meaning it has a larger deltoid process). Thus T. (M.) b. laticeps and T. (M.) b. canus appear to demonstrate an instance of convergence in deltoid process shape between the two clades of subgenus T. Megascapheus. On the other hand, T. (M.) bottae leucodon-which occupies the hardest soils in the region-has both a highly procumbent cranial shpae and the highest average humeral PC1 shape (i.e. the largest deltoid process relative to centroid size) within the genus. These results suggest that both cranial and humeral adaptation can concurrently evolve.
The evolution of humeral shape appears to occur in diverse ways across the genus Thomomys, with little evidence for any particular sequence of adaptation to fossoriality. This contradicts a previous suggestion of a two-step adaptive pathway for claw-digging in rodents based on humeral shape in the fossorial rodent genus Ctenomys (see [42]). According to this scenario, an enlarged deltoid and epicondylar crests would first co-occur with fossorial habits and then an increased articular surface would co-occur with harder soils [42]. However, our findings suggest that the size of the deltoid is more indicative of claw-digging in hard soils ( Fig. 5a; Fig. 7m-r; Table 4), while the largest articular surface belongs to T. (T.) mazama which digs in softest soils ( Fig. 5g; Fig. 7q). In Ctenomys, the ancestral positioning of the incisor root is lateral to the cheek teeth, which could possibly decrease the constraints on evolutionary rearrangements of the incisor root. It is plausible that this could result in a lower selection pressure on humeral fossorial adaptation in Ctenomys, resulting in different evolutionary patterning in this genus compared to Thomomys. A larger sample of T. (T.) talpoides humeri (n = 2) in our analysis could provide an intriguing comparison patterns of humeral versus cranial evolution in hard soil. Regardless, our results suggest that chance and phylogenetic history have greater roles in fossorial adaptation than any intrinsic rodent pathway to claw-digging.

Static allometry suggest ontogenetic allometry studies could reveal different heterochronic mechanisms underlying convergent shapes in genus thomomys
Our study is limited to adult specimens, thus the static allometry we discuss here cannot adequately test for ontogenetic mechanisms underlying the evolution of diverse cranial shapes in Thomomys. Past literature on this genus [33] and other rodents [40,41] have concluded from the study of static allometry that peramorphosis-i.e. exaggeration of adult shapes through sustained growth-underlies the increased incisor procumbency via body size increase. These scenarios have assumed that procumbency evolves through a single peramorphic developmental mechanism, which would result in a single allometric slope for all taxa. Our results show, however, that taxa have different static allometric trajectories-even among closely related subspecies-and therefore suggest a more complex scenario. In particular, the allometric slopes of the two subspecies of T. (T.) talpoides diverge noticeably from the presumed "peramorphic" pattern seen in the rest of the genus. It is possible that the shallower slopes we detect via static allometry might reflect a paedomorphic process-i.e. the retention of juvenile shapes as adults. This potential contrast to the peramorphic process most likely underlying allometric procumbency in the other pocket gophers presents a promising investigation into the evolutionary mechanisms underlying convergent and parallel evolution (e.g. [57,58]).

Conclusions
We conducted geometric morphometric analyses on a diverse pocket gopher genus from a small geographic region with fine-grained taxonomic distinctions. Our results revealed that both allometry and differential evolution of functional cranial versus humeral shapes appear to have generated substantial differences in the digging apparatus essential for life underground. Because the fossorial niche exerts a high-energy-cost selection pressure [18], functional trade-offs, such as between toothdigging and tunnel size, as well as biological constraints, particularly of body size, appear to channel the skull into a limited morphospace. The resulting relationship between shape and body size, however, appears more complex than the previously suggested uniform allometric mechanisms proposed earlier [28]. The results also reveal substantial adaptive flexibility within the genus, for example in our newly reported instance of convergent evolution in the smallest-bodied gopher T. (T.) talpoides. In this species, allometric constraints appear to be circumvented through evolution of the most derived cranial rearrangement for tooth-digging seen in the genus.
In a recent meta-analysis of convergent evolution, Ord & Summers (2015) [2] report that repeated evolution of similar morphological traits is much more common in