Tyrannosaurus rex Osborn 1905

Most known T. rex crania containing teeth were examined (Supplementary Data 1, available online at www.vertpaleo.org/ jvp/JVPcontents.html). Tarbosaurus Maleev, 1955, was excluded as there is no consensus on its taxonomy and it appears to be a distinct species (Holtz, 2001; Hurum and Sabath, 2003; C...

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Main Author: Smith, Joshua B.
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Published: Zenodo 2005
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Online Access:https://dx.doi.org/10.5281/zenodo.4323776
https://zenodo.org/record/4323776
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Summary:Most known T. rex crania containing teeth were examined (Supplementary Data 1, available online at www.vertpaleo.org/ jvp/JVPcontents.html). Tarbosaurus Maleev, 1955, was excluded as there is no consensus on its taxonomy and it appears to be a distinct species (Holtz, 2001; Hurum and Sabath, 2003; Carr and Williamson, 2004). Data from Dilophosaurus Welles, 1970; Liliensternus Welles, 1984; Ceratosaurus dentisulcatus Madsen and Welles, 2000 (?= Ceratosaurus nasicornis Marsh, 1884); Masiakasaurus Sampson et al. 2001; ‘ Indosuchus ’; Majungatholus Sues and Taquet, 1979; Baryonyx Charig and Milner, 1986; Suchomimus Sereno et al., 1998; Allosaurus Marsh 1877; Acrocanthosaurus Stovall and Langston, 1950; Carcharodontosaurus Stromer, 1931; Gorgosaurus Lambe, 1914; Daspletosaurus Russell, 1970; Tyrannosaurus rex Troodon Leidy, 1856; Saurornithoides junior Barsbold, 1974; Bambiraptor Burnham et al., 2000; Deinonychus Ostrom, 1969 a; Dromaeosaurus Matthew and Brown, 1922; and Velociraptor Osborn, 1924 were used to provide context for teeth of Tyrannosaurus rex within theropod dental morphospace (see Smith et al., 2005, for data). Growth-related change is important in paleobiology (e.g., Currie, 2003b). However, as ontogeny in Tyrannosaurus rex is currently poorly understood, data were excluded from problematic specimens (see Molnar and Carpenter, 1989; Carr, 1999; Brochu, 2002; Carr and Williamson, 2004), such as LACM 28741 (‘ Aublysodon ’) and CMNH 7541 (‘ Nanotyrannus ’), to be dealt with separately. These specimens are likely juveniles of T . rex (see Carr, 1999; Holtz, 2001), and have been synonymized as such (Carr and Williamson, 2004). However, a consensus is lacking (see Currie, 2003a; Currie et al., 2003), and there are new data (J. Peterson, pers. comm., 2002) that merit consideration. I am not comfortable coding teeth as pertaining to T . rex unless there is general agreement that they are such, nor is it wise to use data from a problematic specimen to support or refute a T. rex affinity for that individual. Therefore, I included only those data that are currently unquestioned as pertaining to T. rex . As tyrannosaurid taxonomy becomes clearer, the dentitions of problematic specimens should be compared against those of well-supported taxa. In the absence of this and in the absence of data for proven juvenile teeth for T. rex , discussions of ontogenetic change in its dentition are premature (e.g., Senter and Robins, 2003). Measurements and Counts Measurements were made directly with electronic calipers or on digital images using SigmaScan®. Denticles were counted with a Hensoldt-Wetzlar 8X lens possessing a mm-scale reticle. Data cases are averages of five replicate measurements (measurement repeatability was assessed by Smith, 2002). Data were included from teeth regarded as being fully erupted (teeth that are erupting, are reconstructed, or are not accessible because the specimen is on display were omitted). Orientation terminology (Fig. 1A) follows Smith and Dodson (2003). Studies of tyrannosaurid dentitions must pay particular attention to the premaxillary and first dentary teeth. The basal short axes of these crowns are mesiodistal rather than labiolingual in orientation (as in most theropods), and the long axes (sensu the basoapical axis in human incisors, see Minagi et al., 1999) are oriented labiolingually rather than mesiodistally (Fig. 1B, C). The variables used in this article (Fig. 1D, E) were derived or discussed in detail by Smith et al. (2005); they are noted briefly here. Size was described using crown base length (CBL), crown base width (CBW), crown height (CH), and apical length (AL). CBL and CBW were measured in a horizontal plane referenced approximately to point B of Smith et al. (2005). Basal shape was described using the crown base ratio (CBR = CBW/CBL); crown “squatness” was assessed using the crown height ratio (CHR = CH/CBL). Apex displacement from the crown base center and crown curvature were described using the crown angle (CA). Crown angle values were calculated using the Law of Cosines and solving for: where a = CBL, b = AL, and c = CH. Denticle size and spacing was quantified by determining the number of denticles per 5 mm of carina length (see Farlow and Brinkman, 1987), counted as close to the base, mid point, and apex as possible (see Chandler, 1990), thus generating the basal (MB and DB), mid-crown (MC and DC), and apical densities (MA and DA). For very small teeth (e.g., Bambiraptor ), counts were taken over 2 mm and then adjusted to 5 mm after Farlow et al. (1991). Five counts of each variable were taken, the means of which yielded average densities for the mesial and distal carinae (MAVG, DAVG, after Chandler, 1990). The ratio of MAVG to DAVG generated the denticle size density index (DSDI), devised and discussed by Rauhut and Werner (1995). Analyses Statistical analyses were run with SPSS, SigmaStat®, and Stat- View and were illustrated using SigmaPlot®. Factors that might have a significant effect on the variability within the data were examined using analysis of variance (ANOVA). As biogeography (concept after Carrasco, 2000a, b; Lieberman et al., 2002) showed no significant effect on the observed variation (Smith et al., 2005) and sexing and aging of tyrannosaurs is problematic (Larson, 1994; Chapman et al., 1997; Galton, 1999), tooth position is the main factor that might account for a significant proportion of the observed variation. ANOVA was employed to test this hypothesis using variability profiles sensu Yablokov (1974) but modified after Smith (2002) to show positional variation within tooth rows (sensu Williamson, 1996). As the variables were compared with tooth position rather than with coefficients of variation (see Yablokov, 1974), raw data were analyzed instead of following Sokal and Braumann (1980). The results were examined using post-hoc tests that compared the means of the dependent variables with respect to tooth position: Fisher’s PLSD (see Sokal and Rolf, 1995) and Tukey-Kramer (Kramer, 1956). Raw data were used for AL, CA, CBL, CBR, CBW, CH, CHR, MAVG, and DAVG. CA and DAVG were also compared after removing size as a confounding variable (see Marko and Jackson, 2001). Smith et al. (2005) log-transformed the data and ran a principal-components analysis. The data for DAVG were then regressed on PC1, which explained 84.4% of the observed variation; the residuals from these regressions constitute the sizecorrected variables CA2 and DAVG2. MORPHOLOGY AND POSITIONAL VARIATION Osborn’s (1912) study remains the best prior treatment of Tyrannosaurus dentition, although other works have briefly discussed the teeth (e.g., Brochu, 2002; Hurum and Sabath, 2003). Osborn (1912) focused on CM 9380, AMNH 5027, 5117, 5866, and CM 9379. He reported a dental formula of 4 premaxillary, 12 maxillary, and 13–14 dentary teeth, for 58–60 total positions. Molnar (1991) found 4/11–12/? from these specimens and LACM 23844 and SDSM 12047. Currie et al. (2003) reported 4/11–12/ 12–14, but from which specimens these data came is not clear. Table 2 provides an updated list of tooth counts. Theropods are not usually considered to be heterodont taxa, but this view is too simple (see Currie, 1987). Tyrannosaurus rex in particular exhibits as much heterodonty (see Stromer, 1934) as do taxa acknowledged as having distinctive dentitions, such as Eoraptor Sereno et al., 1993, Troodon , and Masiakasaurus . Preliminarily, T. rex appears to be more heterodont than Daspletosaurus or Albertosaurus it possesses tooth morphologies that we can regard as classes at the element level (see Peyer, 1968; Zhao et al., 2000) and as sets sensu Hungerbühler (2000) at the intraelement level. These sets differ in concept from the ontogenetic tooth families of Edmund (1969) and Osborn (1973). Broadly, T . rex follows the ‘typical’ theropod pattern (see Holtz and Osmólska, 2004) of ‘recurved’ crowns possessing longer base lengths than widths (Molnar and Carpenter, 1989). However, T. rex teeth are less curved than those of many theropods (an obvious exception to this are the dentitions of certain spinosaurids; see Sereno et al., 1998; Sues et al., 2002). The Premaxillary Dentition There are four teeth in all known premaxillae of T. rex , a feature that is robust for the Tyrannosauridae (see Osborn, 1905, 1906, 1912; Carpenter, 1990, 1992; Molnar, 1991; Brochu, 2002; Currie, 2003a; Hurum and Sabath, 2003). Premaxillary tooth count is constant for most theropods (see Lamanna, 1998). Currie (pers. comm., 1998; see also Ji and Ji, 1997) noted a discrepancy in tooth count in a specimen of Sinosauropteryx Ji and Ji, 1996 (NIGP 127586), but the lack of variation in other theropods suggests that this might be a specimen-specific or taxon-specific anomaly (assuming the individuals all represent one species). Currie and Chen (2001) reported that preparation issues confound tooth counts in Sinosauropteryx . Baryonyx might possess six left and seven right premaxillary teeth in BMNH R9951 (see Charig and Milner, 1997). However, Rpm6 and 7 appear to be crowded into one alveolus, suggesting that BMNH R9951 could also be anomalous. Such anomalies are common in mammals (P. Dodson, pers. comm., 2004) and should not affect the stability of theropod counts. It is also possible that tooth-count variation increases with decreasing crown size (J. D. Harris, pers. comm., 2004). Crown Size —The premaxillary class is significantly smaller than the maxillary class in CBL, CBW, CH, and AL (Table 1, Fig. 2), as in other tyrannosaurids (Russell, 1970; Holtz, 2001; Currie, 2003a; Hurum and Sabath, 2003) and some ceratosaurs (Rauhut, 2004). There are trends of increasing size along the tooth row for CBL, CBW, CH, and AL (Fig. 2). The first tooth (mean pm1 CBL = 28.61 mm) is significantly smaller than that for pm3 (pm3 CBL = 33.96; ANOVA with pm1: F = 2.92, p .0346), but the remaining teeth are not significantly different from each other in size. The fourth tooth is slightly smaller than pm3 in all size variables, but the differences are not significant. A similar decrease in size toward the premaxillary-maxillary suture (premaxilla-maxilla joint sensu Molnar, 1991) occurs in Coelophysis Cope, 1889, Dilophosaurus , and Eoraptor (Welles, 1984; Colbert, 1989; Sereno and Novas, 1993). Crown Shape and Carina Morphologies —Theropod crown basal cross sections are often ovals that taper to points corresponding to the locations of the carinae (Fig. 1B). The basal long axis (generally oriented mesiodistally) can be twice the length of the short axis (usually oriented labiolingually). In the premaxilla of T. rex however, although the crown bases are narrow ovals, the long axes are oriented labiolingually (Fig. 1C). The labial faces are ovals that are convex toward the rostral end of the snout (Fig. 3A). The lingual faces form very weakly convex curves (e.g., AMNH 5027), which are more pronounced basally, creating a shallow wide ridge (contra Molnar and Carpenter, 1989); apically the faces are almost flat (Fig. 3B). The curves of the lingual faces flatten out proximal to the carinae, which are located at the mesiolingual and distolingual corners of the crowns. The flattening is more pronounced distal to pm1 where the very slightly convex mesial and distal faces curve into the lingual face. A number of theropods exhibit positional variation with respect to carina placement. Tyrannosaurus rex exhibits dramatic changes in this feature along the maxillary and dentary tooth rows, but virtually none within the premaxilla: the carinae are all located at the corners of the teeth, as in other tyrannosaurids (Russell, 1970; Currie, 2003a). In labial view, the denticles are often just visible along the mesial and distal edges of the labial faces. The carinae start from lingual points on the apices and extend basally along the mesial and distal faces to the bases, exhibiting slight labial convexity. They cross the apices with a surface expression of one carina wrapping over the tip rather than two distinct carinae, although each is discussed separately here. The mesial carinae are ̴2–5 mm shorter than the distal and often do not extend to the bases. Both carinae in pm3 of BHI 3033 terminate before reaching the base. Often premaxillary mesial carinae of T. rex are slightly shorter than the distal carinae, so it might be possible to discriminate left and right crowns by identifying the distal carina. Similar morphologies occur in the premaxillae of other tyrannosaurids (Russell, 1970; Carr, 1999; Currie, 2003a), leading to the premaxillary crowns being referred to as ‘incisiform,’ ‘U-shaped,’ or ‘D-shaped in cross section’ (see Russell, 1970; Currie et al., 1990; Carpenter, 1992; Holtz, 1994, 1998; Carr, 1999; Ford and Chure, 2001; Brochu, 2002; Currie, 2003a; Carr and Williamson, 2004). Given the convexity of the lingual face and the oval shapes of the crown bases, these descriptors are somewhat inaccurate, but do get the general meaning across (at least colloquially; better descriptions might be desired when using this feature as a systematic character). Although theropod teeth in general tend to be more circular mesially and more bladelike distally (see Smith et al., 2005), T. rex exhibits a reverse trend. The premaxillary teeth are significantly more blade-like than those in the maxilla or dentary (Table 1, Fig. 4A). This might be initially surprising, but T. rex premaxillary crown bases are very elongate. The first two teeth are significantly less circular than are than are pm3 and 4 (pm2 CBR = 0.57; pm3 = 0.64, F = 14.06, p .0128). The premaxillary teeth are more ‘squat’ than in the maxilla or dentary (Table 1, Fig. 4B). Along the tooth row, the crowns become increasingly, but not significantly, more elongated (CHR values of 1.52, 1.52, 1.64, and 1.74, from p1–pm4, respectively). The rostral end of the snout in T. rex is more squared off than in many theropods (Fig. 5A), so that the tooth row curves away from the midline. This, along with the derived crown shapes, produces the distinctive tyrannosaurid premaxillary dentition. Carina placement and lingual face morphology in T. rex are similar to those of pm1 of Allosaurus (e.g., YPM 1333 and 4933, MOR 693, and UMNH 1251) and pm1–3 in Majungatholus (e.g., FMNH PR2100). In all three taxa the carinae form the mesial and distal edges of the lingual faces in lingual view (Figs. 5 B–D). However, this resemblance of Allosaurus and Majungatholus premaxillary teeth with those of T. rex is only valid mesially. By the distal ends of the tooth rows in both of these taxa, the crowns are distinctly different from the premaxillary condition in T. rex . By pm4 in Allosaurus (YPM 1333), the mesial carina, in mesial view, begins at the apex and curves lingually such that it forms the lingual edge of the mesial face at about the mid-crown point. In pm5 the distal carina essentially defines the distal keel of the crown, showing only a very slight labial convexity along its length. Crown Curvature —That crown curvature is taxonomically variable in theropods has been suggested (Gilmore, 1920; Russell, 1970; Madsen, 1976). Within-taxon variation takes the form of increasingly curved crowns along the length of the tooth row (see Smith 2002), often accompanied by a decrease in size (Chandler, 1990). However, some taxa, such as Spinosaurus Stromer, 1915, and Irritator Martill et al., 1996, exhibit very little mesial curvature (see Sues et al., 2002). This curvature can be seen indirectly in the CA data generated by equation (1). In general, CA values closer to 90° indicate more centrally positioned apices, a condition that usually correlates with less curved mesial profiles. Lower CA values usually correlate with more strongly curved mesial profiles. In T. rex , curvature decreases from pm1–4 (Fig. 4C), but the differences are not significant (mean CA values of 84.7°, 85.1°, 85.9°, and 85.9° from pm1–4). The CA values in the premaxillary dentition versus those in the maxilla and dentary are also not significant (Table 1, Fig. 4C). Denticles —The mesial premaxillary denticles range in size from ̴9–̴11/5 mm (Table 1), with a weak trend of increasing size along the tooth row (Fig. 6A), although differences between adjacent teeth are mostly not significant. Premaxillary MAVG values are not significantly larger than those of the maxillary or dentary teeth (Table 1). In examining the components from which MAVG is generated, the MA data range from 8.4–10.9/5 mm, the MC data from 7–9.5/5 mm, and the MB data from 9–12.5/5 mm. There is no significant size trend along the tooth row in the apical denticles, but the mid-crown denticles show a very weak increasing trend. The MB data show no clear trends. The apical mesial denticles (10.3/5 mm) are significantly smaller than those of the maxilla (7.9/5 mm, p <.0001) and dentary (8.5/5 mm, p .0245), but the mid-crown and basal denticles are not. Overall, the components of MAVG and DAVG mimic the trends illustrated in Figure 6. As Smith (2002) provided variability plots of these variables and they are not substantially more informative for understanding the dentition of T. rex , MA, MC, MB, DA, DC, and DB plots have been omitted here. The distal denticles display similar patterns of variation to that seen in MAVG data (Fig. 6B); premaxillary DAVG values are not significantly different in size from those of the maxilla or dentary (Table 1). The apical distal denticles (10.3/5 mm) are significantly smaller than those of the maxilla (8.3/5 mm, p .0003), but not those of the dentary (9.4/5 mm, p .0890). There are no significant differences in size between the dentigerous bones of T. rex for the mid-crown or basal distal denticles. When premaxillary DSDI data are examined for T. rex , posi- tional variation in the denticles largely disappears (Fig. 6C). The range of premaxillary DSDI variation is well within the range of DSDI variability for the mouth as a whole. Indeed, while there is some noise within the data, there is little positional influence for this feature in any of three tooth classes. Thus, DSDI does not appear to be particularly useful in examining T . rex teeth. However, the lack of positional variation suggests that DSDI data might have some systematic utility. The Maxillary Dentition The maxillary class of T. rex contains an average of 12 teeth, including the largest in the dental arcade and some of the smallest (Fig. 2). It is significantly larger than the premaxillary and dentary classes in CBL, CH, and AL and significantly larger than the premaxillary class in CBW (Table 1). Indeed, mx3 and mx4 are large enough that it might be possible to distinguish them from dentary crowns using CH (mx3: 111.30 mm; mx4: 105.34 mm versus d4: 90.14 mm). The teeth in the maxillary dentition are different from those in the premaxillary class in : Published as part of Joshua B. Smith, 2005, Heterodonty in Tyrannosaurus rex: Implications for the taxonomic and systematic utility of theropod dentitions, pp. 865-887 in Journal of Vertebrate Paleontology 25 (4) on pages 866-884, DOI: 10.1671/0272-4634(2005)025[0865:HITRIF]2.0.CO;2, http://zenodo.org/record/3942994 : {"references": ["Maleev, E. A. 1955. [Carnivorous dinosaurs of Mongolia]. Priroda 1955 (6): 112 - 115. [Russian]", "Holtz, T. R., Jr. 2001. The phylogeny and taxonomy of the Tyrannosauridae; pp. 64 - 75 in D. H. Tanke and K. Carpenter (eds.), Mesozoic Vertebrate Life. Indiana University Press, Bloomington, Indiana.", "Hurum, J. H., and K. Sabath. 2003. Giant theropod dinosaurs from Asia and North America: Skulls of Tarbosaurus bataar and Tyrannosaurus rex compared. Acta Palaeontologica Polonica 48: 161 - 190.", "Carr, T. D., and T. E. Williamson. 2004. 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