Tyrannosaurus rex

Thomas D. Carr & Thomas E. Williamson, 2004, Diversity of late Maastrichtian Tyrannosauridae (Dinosauria: Theropoda) from western North America, Zoological Journal of the Linnean Society 142, pp. 479-523 : 481-519

TYRANNOSAURUS REX OSBORN, 1905

Aublysodon molnaris (Leidy, 1868) - Paul, 1988b: p. 325 .

Aublysodon cf. A. mirandus (Leidy, 1868) - Molnar & Carpenter, 1989: figs 1-4, p. 447 .

Stygivenator molnari (Paul, 1988b) - Olshevsky & Ford, 1995: fig. 36, p. 116 .

Albertosaurus cf. A. lancensis Molnar, 1980 : figs 1-7, p. 102 .

Albertosaurus megagracilis Paul, 1988b : p. 333.

Nanotyrannus lancensis Bakker, Williams, & Currie, 1988: pls. 1-4, figs 1-7, 11, 12, p. 2 .

Dinotyrannus megagracilis Olshevsky & Ford, 1995 : fig. 37, p. 117 .

Type species: Tyrannosaurus rex Osborn, 1905 .

Discussion and description

The first skeletal material referred to cf. Aublysodon was an isolated frontal ( TMP 80.16.485) from the Dinosaur Park Formation of Alberta ( Currie, 1987). Currie tentatively referred the frontal to Aublysodon because, in contrast to Albertosaurus libratus , the frontal is relatively thin and narrow for a given length. The presence of Aublysodon in the Dinosaur Park Formation was supported by the presence of isolated nondenticulate premaxillary teeth and ‘gracile’ denticulate maxillary and dentary teeth, thought to be referable to the taxon ( Currie, 1987: 55). Currie suggested that the Jordan Theropod might be referable to Aublysodon .

Lehman and Carpenter (1990: 1026; figs 1–6 ) referred a partial skeleton to Aublysodon that is likely referable to a new genus of basal tyrannosauroid. Molnar & Carpenter (1989) described aspects of the specimen, LACM 28471 , pertinent to a revision of Aublysodon . Their referral of the specimen to Aublysodon cf. A. mirandus was based on the presence of an associated nondenticulate premaxillary tooth. The specimen provided the opportunity to ascribe skeletal characters to the taxon. In their abstract, Molnar & Carpenter (1989: 445) listed one skeletal and one dental character to characterize Aublysodon : a ‘peculiar first dentary tooth’ and a V-shaped frontoparietal suture ( Fig. 2A, B, L ). Their revised diagnosis of A. mirandus included the following additional characters: slender dentaries, an emargination in the dentary caudal to the third alveolus, and an acute angle between the dorsal and rostroventral margins of the dentary ( Fig. 3D, E ). They also listed additional dental characters for A. mirandus : the mesial carina of the first dentary tooth is displaced lingually ( Fig. 3E ), all dentary teeth but the first ( Fig. 3D, E ) are laterally compressed as well as those of the maxilla ( Figs 3D, E , 4 ), denticles extend midway down the mesial carina and to the base on the distal carina and the mesial denticles are smaller than the distal ones.

Figure 1. Continued

Figure 2. Continued

Comparison of the Jordan theropod ( LACM 28471 ) with tyrannosaurid material weakens the validity of A. mirandus . All tyrannosaurids, except adult Daspletosaurus and Tyrannosaurus , have V-shaped frontoparietal sutures. Slender dentaries are typical of juvenile tyrannosaurids ( Carr, 1999). Regarding the emargination in the dentary, in tyrannosaurids the alveolar margin is convex adjacent to the rostral four or five teeth and is then concave through the midlength of the bone ( Fig. 5 ). The ‘step’ is the transition point between these margins, and in LACM 23871 this is exaggerated by the fragmentary nature of both bones ( Figs 3 D, E, 5). Molnar & Carpenter (1989: 447) cite the ‘rostroventral border of dentaries with an acute angle relative to alveolar border’ as unique. However, this condition is typical of small tyrannosaurid dentaries ( Fig. 5 ).

Molnar & Carpenter (1989) considered the extent and coarseness of denticles to be diagnostic for A. mirandus . They stated that in the dentary and maxillary teeth of LACM 28471 , the mesial denticles only extend halfway down their carinae and the entire extent of the distal carinae is denticulate. We find that this character is typical of most tyrannosaurids, except Daspletosaurus torosus in which the mesial carina reaches the crown base, and is therefore not diagnostic of A. mirandus . Also, the condition of mesial denticles being finer than the distal denticles is typical of tyrannosaurids ( Carr & Williamson, 2000) and is not a diagnostic character of any species.

The partial skull of LACM 28471 displays many characters typical of Tyrannosauridae . The frontal is diagnostic among Late Cretaceous theropods ( Currie, 1987). The bone displays most of the diagnostic tyrannosaurid features, including the following: separate joint surfaces of the lateral and medial frontal processes of the nasal; short orbital rim; expanded frontopostorbital suture with a buttress (although undeveloped in LACM 28471 ) and caudolateral suture; frontals separated on the midline by the parietals; frontals flat between the orbits; dorsotemporal fossa covering much of the dorsal surface of the frontals ( Fig. 2A- E, G ).

LACM 28471 displays additional tyrannosaurid characters, including a first maxillary tooth that is small and incisiform ( Figs 1D, E , 4 ) and a subconical first dentary tooth that is the smallest member of the tooth row ( Fig. 3 D, E). In lateral view, a large neurovascular foramen pierces the maxilla rostral to the antorbital fossa ( Fig. 1D ), the alveolar margin of the maxilla is convex ( Fig. 1D, E ) and that of the dentary is concave caudally and convex rostrally ( Fig. 3 D, E); the rostral-most neurovascular foramen that pierces the lateral surface of the dentary is the largest of its row and is situated ventral to the first alveolus ( Fig. 3 E). This foramen is also in dromaeosaurids ( Paul, 1988a). In dorsal view, the nasals are constricted at midlength between the maxillae ( Fig. 1A– C ); the parietals are wedge-shaped and bear a prominent sagittal crest ( Fig. 2I –M ). Finally, in ventral view, the parietals possess a plug-like process on the rostral midline for apposition with the frontals ( Fig. 2M ). Thus, there are no characters that contradict assignment of LACM 28471 to Tyrannosauridae .

Taxonomic identity

As in Daspletosaurus torosus and Tyrannosaurus rex , the lingual surface of each of the third left and right maxillary crowns in LACM 28471 bear a prominent apicobasal ridge that creates a crease adjacent to the mesial carina ( Fig. 4 ). In other tyrannosaurids (e.g. Albertosaurus ), this ridge and sulcus are absent. As in juvenile (e.g. CMNH 7541 ) and adult (e.g. AMNH 5027 ) T. rex , the rugose lateral surface of the maxilla stops far short of the proximal end of the ascending process of the maxilla ( Figs 1F , 6 ), indicating that the antorbital fossa reached the nasal suture. Also, the sagittal crest is present on the frontals, a state absent in tyrannosaurids other than Daspletosaurus and Tyrannosaurus .

Several characters of LACM 28471 are shared with T. rex . As in juvenile T. rex (e.g. CMNH 7541 ), the dorsal and lateral surfaces of the rostral third of the nasals are set at abrupt angles to one another, such that the bones are angular in cross-section ( Fig. 1A ). This is also found in dromaeosaurids ( Paul, 1988a). The nasals do not separate the distal ends of the nasal processes of the premaxillae by a pair of median ridges, indicating that the processes were appressed through their entire length, as in T. rex (e.g. AMNH 5027 , CMNH 7541 ; Fig. 7 ). On the basis of these shared derived characters, we consider LACM 28471 to be referable to Tyrannosaurus rex .

Ontogenetic stage

In addition to its small size (estimated skull length: ~450.0 mm), LACM 28471 shares many features that typify juvenile tyrannosaurids (sensu Carr, 1999). In general, the teeth are labiolingually narrow (‘bladelike’) and the cranial remains are lightly built, especially those of the dorsal skull roof such as the nasals, frontals, and parietals ( Figs 1–3 ). LACM 28471 represents a tyrannosaurid growth stage that precedes that of ‘small Stage 1’ described by Carr (1999) for Albertosaurus libratus .

Molnar (1978: 74) observed that the joint surface for the maxilla on the nasal is smooth and favourably compared this with dromaeosaurids in contrast to the ‘dentate appearance’ of this region in tyrannosaurids. A serrate nasomaxillary suture is characteristic of large adult tyrannosaurids and that of subadult and juvenile specimens is a smooth tongue-in-groove contact ( Carr, 1999). Thus, the smooth state in LACM 28471 is a juvenile character ( Fig. 1D–G ).

The frontal process of the nasal is not constricted between the lacrimals in LACM 28471 ( Fig. 1B, C ). The same is also true for juvenile Daspletosaurus (e.g. TMP 94.143.1) in contrast to the constricted state in adults (e.g. CMN 8506, TMP 85.62.1). An unconstricted nasal is present in a juvenile individual of T. rex (e.g. CMNH 7541 ) where only the unmodified right lateral frontal process is preserved ( Gilmore, 1946; Bakker et al., 1988; Carr, 1999). In adult T. rex , the process is compressed to a pair of rods between the lacrimals ( Osborn, 1912; Fig. 8 ).

As in juvenile T. rex (e.g. CMNH 7541 ), the nasals of LACM 28471 are not rugose, their condition in large adult specimens ( Fig. 1A–E ). This smooth condition differs from a small juvenile A. libratus (e.g. TMP 86.144.1), in which the nasals are rugose. As in juvenile and adult tyrannosaurids, the internasal suture is open along the rostral and caudal extremities of the bone, but the remainder is closed in external view ( Fig. 1A–C ). Thus, growth of this bone was not inhibited by closure of this suture and indicates the functional importance of a stable snout for small juvenile tyrannosaurids.

The maxilla, as in juvenile tyrannosaurids ( Carr, 1999), is dorsoventrally shallow and transversely narrow ( Fig. 1A, D–G ), indicating a long, low snout of delicate construction. The triangular profile of the maxilla noted by Molnar (1978) typifies the proportions of this bone in juveniles and all small theropods and is not taxonomically diagnostic ( Currie & Dong, 2001b; Fig. 6 ). Molnar observed that the angle of the ventral and rostrodorsal margins converge at a low angle (50°) in LACM 28471 . In contrast to larger tyrannosaurids, this difference is growth related, juvenile tyrannosaurids having shallower snouts than adults ( Carr, 1999). This is also indicated by the low angle of the margins of the maxilla, which Molnar (1978: 73) also observed in A. libratus . The low angle in LACM 28471 , in contrast to the higher angle in A. libratus (70°), is undoubtedly related to the fact that LACM 28471 was the smallest specimen in Molnar’s sample.

The term ‘maxillary flange’, used herein, refers to the convex ala that extends dorsally from the dorsolateral margin of the maxilla, which overlaps the ventrolateral surface of the nasal. The flange represents the lateral half of a deep longitudinal slot in the maxilla that receives a blade-like process from the ventral surface of the nasal. As in juvenile T. rex (e.g. CMNH 7541), the maxillary flange of LACM 28471 is present but is not as prominent as that of larger specimens ( Figs 1D–G , 6 ).

Comparable to juvenile Tyrannosaurus (e.g. CMNH 7541 , PIN 552–2) and Daspletosaurus (e.g. TMP 94.143.1), the rostral margin of the maxillary fenestra in LACM 28471 does not approach the rostral margin of the external antorbital fenestra as it does in adults ( Figs 1D, E , 6 ). In adult T. rex , the maxillary fenestra extends medial to the rostral margin of the external antorbital fenestra ( Fig. 6 ), while in Daspletosaurus adults, a T. bataar juvenile (GIN 100/177), and the holotype of Shanshanosaurus huoyanshanensis ( Currie & Dong, 2001a) , the maxillary fenestra is separated from the margin of the external antorbital fenestra by a narrow rim of bone ( Fig. 6 ). Also as in juvenile tyrannosaurids, in LACM 28471 a low ridge encircles the rostroventral margin of the antorbital fossa ( Fig. 1D ), while the ventral foramen within the fossa of the subnarial foramen opens rostroventrally ( Carr, 1999; Fig. 1D ); in subadults and adults, this foramen is large and opens rostrally ( Carr, 1999).

The dorsotemporal fossa of the frontal is present in LACM 28471 and, as in juvenile tyrannosaurids ( Carr, 1999), the rostral margin of the depression is indistinct (e.g. CMNH 7541 ; Fig. 2A, B ) whereas the rostral margin of the dorsotemporal fossa is distinct in large and mature specimens ( Fig. 8 ). As in other juvenile tyrannosaurids (e.g. CMNH 7541 ), most of the rostral margin of the fossa is not delimited by a distinct ridge and sulcus, except in LACM 28471 where these features are present at the lateral extent of the fossa in both bones ( Fig. 2A, B ). Also, the sutural surface of the postorbital is not modified into a dorsoventrally deep abutting and peg-in-socket contact as in larger specimens, but is composed of deep grooves and ridges ( Fig. 2E, G, H ).

In dorsal view, the joint surface of the lacrimal is rostrocaudally elongate and transversely narrow, as in juvenile tyrannosaurids ( Carr, 1999; Fig. 2A, B ). This is unlike adults of Daspletosaurus and Tyrannosaurus in which the frontal, caudal to the lacrimal, is transversely wide ( Fig. 8 ). The same is also true for the prefrontal- frontal suture in T. rex ( Fig. 8 ). In LACM 28471 , the joint surfaces of the medial and lateral frontal process of the nasal are separate in dorsal view ( Fig. 2A, B ), as in other tyrannosaurids. In adult T. rex (e.g. AMNH 5027 , BHI 3033 , BHI 4100 , FMNH PR 2081 ), the medial frontal process of the nasal is displaced ventrally out of view and the lateral frontal process itself is compressed toward the midline beneath the lacrimal ( Fig. 8 ). Thus in adults, the joint surface of the medial frontal process is pinched out below and between the compressed nasal processes of the frontal.

As in other juvenile tyrannosaurids ( Carr, 1999), the muscle attachment area on the lateral surface of the surangular, ventral to the glenoid fossa, is a shallow groove ( Fig. 3A ). In larger and more mature individuals this is a dorsoventrally deep and rugose scar. The shallow dentary of LACM 28471 also indicates the juvenile status of the specimen ( Figs 3D, E , 5 ). In tyrannosaurid growth, dentary depth exhibits positive allometry; in the smallest juveniles, the width of the bone approaches its height.

Molnar (1978) claimed that the dentary of LACM 28471 is unique with regard to the shallow angle of the symphysis and the slope of the alveolar margin in lateral view. In our view, the low angle of the ventral margin of the symphyseal region relative to the ventral margin of the bone is typical of juvenile tyrannosaurids ( Figs 3D, E , 5 ), as noted by Molnar (1978) for A. libratus and Currie & Dong (2001a) for Shanshanosaurus . A steep rostroventral margin of the dentary typifies larger and deeper-jawed specimens. In tyrannosaurids, the alveolar margin of the dentary, in lateral view, is generally concave and becomes convex lateral to the rostral four alveoli ( Fig. 5 ). This is also the case in LACM 28471 ( Figs 3D, E , 5 ). Therefore, on the basis of these features, LACM 28471 exemplifies a juvenile T. rex .

REVISED DESCRIPTION

We differ from previous workers in our interpretation of some aspects of the osteology of LACM 28471 ( Table 1 ). However, we have discovered several details that supplement the previous descriptions ( Molnar, 1978; Paul, 1988b; Molnar & Carpenter, 1989; Olshevsky & Ford, 1995). We were able to verify that the shallow concavity reported by Molnar (1978) along the rostrodorsal margin of the left maxilla is the fossa of the subnarial foramen ( Fig. 1D ). The ventral margin of the naris would have been delimited by the maxillary processes of the premaxilla and nasal, which are missing in this specimen.

The transverse curvature of the nasals indicates that they were deep and vaulted rostrally ( Fig. 1A, D, E ). The caudal third of the bone, reported here for the first time, is a flat plate ( Fig. 1B, C ). Thus, the conjoined bones are constricted at midlength and expand rostrally toward the maxillary processes ( Fig. 1A–C ). In lateral view, the joint surface for the maxilla extends dorsolaterally behind the maxillary process ( Fig. 1E ). All of these features are present in other tyrannosaurids. Toward the midlength of the unit, the nasals are inclined dorsally toward the midline, forming a low sagittal ridge along the internasal suture ( Fig. 1A ), as in juvenile (e.g. CMNH 7541 ) and adult (e.g. AMNH 5027 ) T. rex . A raised internasal suture is present in other tyrannosaurids (e.g. A. libratus , T. bataar ), but this extends further rostrally in T. rex .

The rostral margin of the antorbital fossa of the maxilla is preserved and it shows the conventional tyrannosaurid contours of a rostrodorsally orientated ventral margin that abruptly extends caudodorsally to form the rostral margin of the fossa ( Fig. 1D ). This pattern is retained in other juveniles ( Currie & Dong, 2001b; fig. 1). A portion of the ascending process for the maxilla is preserved ( Fig. 1F, G ). The dorsolateral surface of the bone bears the joint surface for the nasal that distally transfers onto the medial surface deep to the maxillary flange. The medial surface of the process is incised by the dorsoventrally deep joint surface for the lacrimal that tapers rostrally and is situated above the ventral margin of the bone ( Fig. 1G ).

In LACM 28471 , the caudolateral margin of the right frontal is present ( Fig. 2B ) and between the left and right bones the entire joint surface for the postorbital is preserved ( Fig. 2C–E, G ). The postorbital overlaps the frontal as in other tyrannosaurids ( Fig. 2B–E, G ). The joint surface for the postorbital consists of two principal components: a rostral buttress and a caudal shelf ( Fig. 2G ). In lateral view, the rostral buttress is represented by a dorsoventrally deep and transversely shallow cleft. Low ridges that trend caudoventrally to rostrodorsally reinforce this surface. In larger specimens, this surface is dorsoventrally deep and flat, forming an abutting surface that faces caudolaterally and is floored ventrally by a narrow shelf. In LACM 28471 , this cleft faces laterally ( Fig. 2G, H ). The floor of the rostral half of the surface continues caudally, and is incised by a deep slot that is overlapped by the caudal shelf. Thus, the caudal shelf fits into a slot in the postorbital ( Fig. 2G ).

In dorsal view, the caudal half of the joint surface for the postorbital in LACM 28471 is distinct ( Fig. 2B ). A slot incises the lateral surface of the bone, whose floor extends laterally in dorsal view ( Fig. 2B–E ). The slot receives a medial process from the postorbital that extends caudally. In larger specimens, the slot is modified into a series of sockets to receive peg-like processes from the postorbital. In LACM 28471 , the slot is concealed in dorsal view by a laterally extending shelf ( Fig. 2B–E ). The dorsal surface of the shelf bears the joint surface, indicating that the structure is clasped dorsally and ventrally by the postorbital. As in other tyrannosaurids, the joint surface is inset relative to the dorsal surface of the bone to abut the medial edge of the portion of the postorbital that overlaps the frontal ( Fig. 2B–E ). Finally, unlike larger tyrannosaurid specimens (e.g. ROM 1247) in which the postorbital underlaps the caudoventral surface of the frontal, the joint surface of the parietal extends to the lateral edge of the caudal surface of the frontal ( Fig. 2C ); this is also found in CMNH 7541 .

The dorsal surface of the frontals is not perfectly flat, but concave in the region of the dorsotemporal fossa and flattened at the base of the nasal process, becoming concave again toward the joint surface for the nasal ( Fig. 2A, B ). This is also found in juvenile T. rex (e.g. CMNH 7541 ).

The frontoparietal suture is serrate laterally ( Fig. 2C, J ) and medially the suture consists of interleaving grooves and ridges that lie in the horizontal plane ( Fig. 2A, B, I–M ). Laterally, the bones are in secure contact via stout vertical grooves and ridges ( Fig. 2C, I–M ). In caudal view, the caudal edge of the frontal overlaps the parietal laterally ( Fig. 2C, I, L ). Thus, in dorsal view, the parietal overlaps the frontal medially and the frontal overlaps the parietal laterally ( Fig. 2L ). This pattern is typical of tyrannosaurids.

In lateral view, the joint surface for the prefrontal is the shallow slot that incises the lateroventral surface of the frontal ( Molnar, 1978) and is situated rostroventral to the joint surface of the lacrimal ( Fig. 2F, G ). Thus, as in other tyrannosaurids, the joint surface is not dorsolaterally directed ( Fig. 2G ). In ventral view, this surface extends rostral to the joint surface for the lacrimal and widens laterally, allowing the prefrontal to emerge onto the dorsal skull roof medial to the lacrimal and lateral to the frontal ( Fig. 2A, B, F, G ). Proximally, the joint surface for the prefrontal is shallow, reflecting the absence of a deep socket noted by Currie (1987: 54) that typifies ‘progressive’ tyrannosaurids.

In ventral view, the joint surface for the laterosphenoid on the parietal covers the ventrolateral surface of the bone ( Fig. 2I ), which in LACM 28471 consists of a series of coarse slots and grooves that trend rostrolaterally ( Fig. 2I, M ). The joint surface for the prootic begins caudal to the constricted midregion of the parietal and is represented by longitudinal grooves and ridges. The ventral surface of the parietal fragment is biconcave, with a low transverse ridge that presumably delimits the region of the cerebral hemispheres from that of the midbrain ( Fig. 2M ).

A fragment of the medial portion of the nuchal crest is present, which includes the sagittal crest ( Fig. 2N- P ). The sagittal crest is thin and bladelike and reaches the dorsal margin of the nuchal crest, as in CMNH 7541 ( Fig. 2N, O ). The caudal surface of the fragment retains the thin vertical ridge that widens ventrally to contact the supraoccipital ( Fig. 2O, P ). The sagittal crest and caudal ridge are offset by a few mm ( Fig. 2O ); i.e. they are not directly opposite each other. The dorsal surface of the nuchal crest is smooth, indicating the immature status or small size of the specimen ( Fig. 2O ). The fragment is not complete enough to obtain a contact with the rest of the parietal; it is likely the nuchal crest was transversely orientated, as in juvenile T. rex (e.g. CMNH 7541 ).

Molnar (1978) favourably compared the abrupt constriction between the cerebral and olfactory regions of an endocast of LACM 28471 with Ceratosaurus and observed that the same passage in T. bataar and T. rex are ‘less abrupt’ (1978: 77). The state of this feature in LACM 28471 may simply be attributable to immaturity, but a thorough study of a growth series of tyrannosaurid endocasts is required to falsify this inference.

As reported by Molnar (1978), the glenoid region of the right surangular is present ( Fig. 3A–C ). In dorsal view, caudal to the glenoid, the proximal portion of the joint surface for the articular is preserved and is strengthened by coarse ridges ( Fig. 3B ). The rostral half of this surface is covered by adherent cortical bone of the articular, indicating that this contact was a secure union.

The Meckelian groove of LACM 28471 divides the medial surface of the dentary into lingual and ventral bars. Although shallow, the groove is traceable and terminates rostrally at a rostrocaudally elliptical foramen at the level of the fifth alveolus. This is typical of all tyrannosaurids. The bases of three small interdental plates are preserved in the left dentary and six are present on the right bone.

We found that the tooth ‘assumed to be a premaxillary tooth’ ( Molnar,1978: 77) does not simply adhere to the maxilla, but is situated directly opposite the first alveolus, from which it is displaced lingually by several mm ( Fig. 1D ). This displacement occurs in the second tooth, but to a lesser extreme. There is no bone interposed between the incisiform tooth and the alveolus, precluding the possibility that the tooth was not originally situated in the first alveolus. These observations indicate this tooth is the first maxillary tooth. Although the tooth is incisiform, it has features that are transitional between premaxillary teeth and blade-like maxillary teeth: the distal carina is situated further distally than the lingually positioned mesial carina, and the apical region of the tooth is mesiodistally flattened, such that this region of the tooth is wider than long in cross section ( Fig. 4 ). This considered, there are six teeth situated rostral to the antorbital fossa ( Fig. 1D ).

We therefore differ in our opinion from Molnar & Carpenter (1989) of some details of the revised diagnosis and account of Aublysodon mirandus , based on LACM 28471 . The distolabially shifted carina of the ‘more lateral premaxillary teeth’ actually typifies the first maxillary tooth (1989: 447) and the ‘twist’ in the crown is standard for incisiform teeth in tyrannosaurids in which the apex of the crown deviates labially. This is a useful feature for identifying which side of the skull an isolated incisiform tooth initially came from. One character thought to set Aublysodon apart from tyrannosaurids is a low ridge on the lingual surface of incisiform teeth ( Molnar & Carpenter, 1989); this character is actually typical of tyrannosaurids, including cf. Albertosaurus sp. (e.g. ROM 1422).

We agree with Molnar (1978) that the small first dentary tooth of LACM 28471 is similar to the symphyseal premaxillary teeth and first dentary tooth of dromaeosaurids. In addition, like dromaeosaurids, the first dentary tooth of tyrannosaurids is the smallest of the tooth row and is conical in form with a linguomesially positioned mesial carina, as in LACM 28471 ( Molnar & Carpenter, 1989; Fig. 3D, E ) and the succeeding dentary teeth have the typical laterally compressed form. Also, with few exceptions, mesial denticles in tyrannosaurids tend to extend to the midheight of the crown whereas the denticles of the distal carina always reach the crown base. Smaller mesial than distal denticles is typical of small tyrannosaurid teeth ( Carr & Williamson, 2000). Thus, the ‘diagnostic’ characters of Aublysodon mirandus (sensu Molnar & Carpenter, 1989) are either typical of tyrannosaurids in general or of juveniles in particular.

OTHER PREVIOUS TAXONOMIC WORK ON LACM 28471

Paul (1988b) designated LACM 28471 as the type specimen of the species Aublysodon molnaris . He referred the specimen to Aublysodon based on the low nasals and triangular profile of the maxilla and nondenticulate front teeth. As noted above, the nasals are actually dorsoventrally crushed. The nondenticulate condition of the front teeth is not distinctive and appears to reflect immaturity, as in other theropods such as Velociraptor (e.g. IGM 100/972; Norell et al., 1994). Paul (1988b: 324) created a new species for the specimen based on its larger size, larger teeth, and ‘more robust snout’ in contrast to Shanshanosaurus huoyanshanensis Dong, 1977 (which he referred to Aublysodon ) and A. mirandus . However, these features are vague and hence are not diagnostic. Based on the diagnostic characters given above, we consider A. molnaris to be a junior subjective synonym of T. rex .

Olshevsky & Ford (1995) referred LACM 28471 to a new genus, Stygivenator molnari . They considered the specimen unique on the basis of its long maxillary teeth and mesiodistally narrow and smaller ‘premaxillary’ tooth, in contrast to the type tooth of A. mirandus . The authors considered the convex rostral end of the alveolar margin of the dentary to be unique; as shown above, this typifies juvenile and small tyrannosaurids ( Fig. 5 ). Also, they considered the procumbent nature of the rostral three dentary teeth to be diagnostic. However, this can be observed in juvenile and subadult specimens of other tyrannosaurids such as Albertosaurus libratus (e.g. ROM 1247). In our opinion, S. molnari is a junior subjective synonym of T. rex .

LACM 23845 : DISCUSSION

Taxonomic identity

Molnar (1980) described the partial skull and skeleton ( LACM 23845 ) of a medium-sized tyrannosaurid recovered from a quarry adjacent to one containing an adult T. rex ( LACM 23844 ) on the L. D. Engdahl Ranch in Garfield County, Montana. He referred the specimen to Albertosaurus cf. A. (= Nanotyrannus ) lancensis . This specimen was later made the holotype of a new species, Albertosaurus megagracilis by Paul (1988b). Olshevsky & Ford (1995) placed this species in a new genus, Dinotyrannus . We suggest that LACM 23845 represents a subadult T. rex .

LACM 23845 displays several characters that are shared by Daspletosaurus and Tyrannosaurus . In dorsal view, the external surface of the frontal process of the nasals is constricted between the lacrimals ( Figs 8 , 9B, D ). Also, between the constriction and the rostral extent of the joint surface for the lacrimal, the dorsolateral margin of the nasal is notched to receive a stout process from the dorsomedial edge of the lacrimal ( Figs 8 , 9B ). In dorsal view, the frontals are transversely wide such that the frontolacrimal and frontoprefrontal sutures are also widened ( Fig. 8 ). As in subadult and adult specimens of Tyrannosaurus and Daspletosaurus , the sagittal crest is divided on the frontals such that a deep midline cleft separates the paired crests ( Fig. 8 ). In other tyrannosaurids and in juvenile T. rex (e.g. CMNH 7541 , LACM 28471 ), a large foramen pierces the sagittal crest on the midline, and the crest diminishes rostrolateral or rostroventral to the opening. The dorsotemporal fossa is deep, and the dorsal surface rostral to the fossa is rostrocaudally short, only 2 cm longer than in the juvenile LACM 28471 ( Fig. 8 ). Also, the frontoparietal suture is transversely orientated ( Figs 8 , 15C, H ), except on the midline, as in Daspletosaurus and Tyrannosaurus ( Fig. 8 ). Finally, the lingual ridge and groove are present in an associated crown that is probably a mesial maxillary tooth.

LACM 23845 displays several Tyrannosaurus characters. As in most specimens of T. rex (except on the left side in LACM 23844 ), the caudolateral process of the nasal is long ( Figs 9 , 10 ). This process is short or absent in Daspletosaurus (e.g. CMN 8506, TMP 85.65.1) and T. bataar (e.g. PIN 553–1), and long in Albertosaurus ( Fig. 10 ). The lacrimal of LACM 23845 does not have a cornual process; instead, the dorsal surface is wide and flat, and the accessory pneumatic fossa is located distal to the lacrimal recess ( Figs 10 , 11C ). In Daspletosaurus the cornual process is a low mound; in Albertosaurus it is sharply defined, with the dorsal surface of the bone sloping dorsolaterally to the cornual process and the accessory pneumatic fossa proximal in position ( Fig. 10 ). As in subadult and adult specimens of Tyrannosaurus , the sagittal crest extends rostrally on the frontals such that a midline cleft separates the paired crests ( Fig. 8 ). In other tyrannosaurids and in juvenile T. rex (e.g. CMNH 7541 , LACM 28471 ), a large foramen pierces the sagittal crest on the midline and the crest diminishes rostrolateral or rostroventral to the opening.

As in Tyrannosaurus and Albertosaurus , the antorbital fossa depresses the lateral surface of the rostral ramus ahead of the lacrimal pneumatic recess ( Fig. 10 ). In Daspletosaurus the fossa faces ventrally in large specimens ( Fig. 10 ). The gentle twist in the rostrolateral margin of the squamosal process of the quadratojugal ( Figs 11G, I , 12 ) is less well developed than the notch in the same region of large adult specimens (e.g. AMNH 5027 , BHI 3033 , FMNH PR 2081 , SDSM 12047 ). This character is diagnostic for T. rex .

In dorsal view, the joint surfaces of the nasal processes of the premaxillae are not separated proximally ( Fig. 9B ). Although the midline struts that separate the premaxillae on the midline are present, they are set below the external surface of the bone, indicating that the processes were probably appressed throughout their entire length, as in juvenile (e.g. CMNH 7541 ) and adult (e.g. AMNH 5027 , FMNH PR 2081 ) T. rex ( Fig. 7 ). As in other specimens of T. rex (e.g. FMNH PR 2081 , LACM 23844 ), the caudal surangular foramen is smaller than it is in other tyrannosaurids ( Fig. 13 ). This is also present in some Albertosaurus libratus (e.g. ROM 1247; Fig. 13 ).

Figure 9. Continued

Finally, two postcranial characters are consistent with other T. rex specimens. In the scapula in ventral view, the caudal margin of the joint surface of the humerus is narrower than the cranial margin (see e.g. FMNH PR 2081 ; Fig. 14C ), while in lateral view, the acromion is elongate (e.g. FMNH PR 2081 ; Fig. 14A, B ), characters first noted by Carpenter & Smith (2001). Thus, we consider LACM 23845 to be referable to T. rex .

Ontogenetic stage

Molnar (1980) provided four reasons why LACM 23845 is not an immature T. rex , each of which is contestable: presence of a tall nuchal crest, smooth prefrontofrontal and quadratojugoquadrate sutures, and the form of the proximal fibula. The height of the nuchal crest is thought to be ontogenetically variable in tyrannosaurids ( Russell, 1970). This idea is based on the subadult A. libratus specimen AMNH 5664 in which the nuchal crest is ‘only about one-fourth as large as in adults’ ( Russell, 1970: 7). However, the nuchal crest in AMNH 5664 is completely broken off and missing. Prominent nuchal crests are present in much smaller juvenile tyrannosaurid specimens, including T. rex (e.g. CMNH 7541 ; Carr, 1999) and so were presumably originally tall in AMNH 5664. Therefore, the presence of a tall nuchal crest in LACM 23845 does not indicate adulthood.

In rostral and lateral views, we observed that the central region of the joint surface of the prefrontal in the frontal of LACM 23845 is coarsened by low papillae and rostrodorsally trending ridges, indicating that the prefrontal- frontal union is not smooth. Thus in T. rex a socket for the prefrontal in the frontal is present late in maturity (cf. Currie, 1987). The shallow and smooth joint surfaces of the quadrate on the quadratojugal ( Molnar, 1980; Fig. 11H, L ) are interpreted here as size-dependent features in LACM 23845 . In large adult T. rex the joint surfaces are coarse and deeply excavated (e.g. LACM 23844 ).

Molnar suggested that the form of the proximal fibula was different from that of Tyrannosaurus . In LACM 23845 , in lateral view, the proximal end of the fibula is more symmetrical than in Tyrannosaurus , the bone is more slender, and the dorsal margin is flatter ( Molnar, 1980). Although described as symmetrical, the proximal portion of the fibula in lateral view has a nearly vertical rostral margin and the caudal margin dilates proximally. This condition is present in adult T. rex specimens (e.g. FMNH PR 2081 ) and in subadult Albertosaurus (e.g. AMNH 5664, ROM 1247) and so does not appear to reflect relative maturity or size. The slenderness of the bone probably reflects the smaller size of the animal. Molnar (1980: 107) also stated that the ‘projection of the proximal face of metatarsal III’ indicated the specimen’s maturity (Fig. 20H, I, K), but the meaning of this character is unclear.

In our view, LACM 23845 is probably a subadult T. rex . In addition to a low estimated skull length (~ 80 cm), several features indicate that it was a subadult or small adult at death. Molnar observed that the nasals are not as rugose as in T. rex . However, his comparative material for the latter taxon (e.g. AMNH 5027 , LACM 23844 ) consists of larger and more mature specimens; thus the more rugose condition might reflect greater maturity.

As noted by Molnar (1980), the nasal contact of the frontal is W-shaped, but this is due to the subadult status of the specimen. The condition in LACM 23845 is therefore transitional between the unconstricted condition in juveniles (e.g. CMNH 7541 , LACM 28471 ) and the constricted condition of adults (e.g. AMNH 5027 , BHI 3033 , FMNH PR 2081 ; Fig. 8 ).

The dorsal surface of the lacrimal is situated relatively close to the dorsal margin of the lacrimal recess, indicating that the bone is not as inflated as in large adult specimens (e.g. AMNH 5027 , BHI 3033 , FMNH PR 2081 , SDSM 12047 ; Carr, 1999; Figs 10 , 11C ). The medial joint surface for the nasal on the frontal is visible in dorsal view ( Fig. 15C, D ). In large adult specimens (e.g. AMNH 5027 , BHI 3033 , FMNH PR 2081 ), the joint surface for the medial frontal process of the nasal is displaced ventrally out of view between the compressed rods of the frontal process.

Unlike large adult specimens of T. rex , the parasagittal crest of the frontal in LACM 23845 does not extend far rostrally, but diminishes after a short distance ( Figs 8 , 15C, D ). This state is also present in Albertosaurus of any size. In dorsal view, the suture for the prefrontal on the frontal is angular on the left and arcuate on the right in LACM 23845 ( Fig. 15C, D ). The asymmetrically developed dorsal surface of the nuchal crest is not developed into a rugose platform as in large adult T. rex (e.g. AMNH 5027 ), and so might indicate immaturity ( Fig. 15J- M ). In LACM 23845 , only the right half of the crest is thickened, but with a smooth dorsal surface ( Fig. 15J- M ).

The tubercle for attachment of the tendon of M. depressor mandibulae of the otoccipital ( Fig. 16A, B ) is low, and not prominent as in large adults (e.g. AMNH 5027 , FMNH PR 2081 ). The margin of the external mandibular foramen of the angular is developed into a rugose ridge ( Fig. 17C ). A low irregular scar is present in juvenile tyrannosaurids ( Carr, 1999). The prearticular of LACM 23845 is typical of subadult tyrannosaurids: the caudal ramus is dorsoventrally deep, the dorsal and ventral margins converge toward each other rostrally, and the bone is dorsoventrally flattened and transversely wide at midshaft ( Fig. 17D–G ). Unlike adult specimen LACM 23844 , the medial surface of the bone is not excavated by the joint surface for the splenial, the bone is shallower, the rostroventral surface of the joint surface for the angular is flat and not concave, and the bone is narrower at midshaft. As in mature tyrannosaurids, the dentary is much deeper than wide ( Fig. 18A, B ). Thus, LACM 23845 displays features that are intermediate in development between juveniles (e.g. CMNH 7541 ) and adults and therefore may be a subadult or small adult T. rex .

Figure 11. Continued

Figure 14. Continued

Figure 15. Continued

Revised description

Our opinion of some details of the osteology of LACM 23845 differs from that of Molnar (1980). We summarize the differences in interpretation in Table 2 , but several of his observations require comment here.

We found that the dorsal ramus of the lacrimal is identical to that of T. rex and does not, as reported by Molnar (1980) resemble that of Albertosaurus ( Fig. 10 ). We did not find the supraoccipital, but the median portion of the nuchal crest of the parietal is preserved ( Fig. 15J- M ). We regard the asymmetry in thickness between each ala of the nuchal crest as individual variation, in contrast to Molnar (1980) who regarded this as a shared similarity with Albertosaurus libratus . Likewise, we regard the absence of a medial shelf along the ventral margin of the surangular process of the dentary as individual variation.

We found that the olecranon process of the ulna is completely broken off and missing ( Fig. 14E, F ), accounting for there being ‘no sign of a pronounced olecranal process as in Albertosaurus and Daspletosaurus ’ ( Molnar, 1980: 105).

Molnar listed similarities between LACM 23845 and Albertosaurus . Molnar stated that in LACM 23845 , ‘ A. lancensis ’, and A. libratus , the sagittal crest reaches the dorsal margin of the nuchal crest, but in Tyrannosaurus the crest does not reach the dorsal margin of the nuchal crest. However, among most tyrannosaurids ( Table 3 ), the extent of the sagittal crest is variable in most taxa and in LACM 23845 the sagittal crest actually stops short of the dorsal margin of the crest ( Fig. 15M ). Therefore, this character is individually variable and does not have diagnostic value except for A. libratus , in which the crest reaches the dorsal margin of the nuchal crest ( Table 3 ).

The form of the distal end of the fibula does not differ in any significant way from that of other tyrannosaurids. Molnar’s comparison of the metatarsals with Albertosaurus – in contrast to the stout bones in Tyrannosaurus – may simply reflect the smaller size of LACM 23845 . The supposed manual ungual is actually from digit I of the pes, based on the robust nature of the ungual and the low flexor tubercle. The angular form of the joint surface of the ungual is, in part, an artefact of breakage (cf. Molnar, 1980).

PREVIOUS TAXONOMIC WORK ON LACM 23845

Paul (1988b: 324). referred LACM 23845 to the new species Albertosaurus megagracilis on the basis of its ‘extremely atrophied forelimbs, down-bent nasals, very long snout... long hind limbs’ and its ‘overall large size and gracile build’. With regard to the long snout, this is based on Molnar’s inference of a longer snout than in CMNH 7541 based on the greater (25%) length of the nasals in contrast to the slightly greater (10%) length of the frontals and parietals in LACM 23845 . Without an independent estimate of body size, it is difficult to determine what allometric trends these differences describe, and Paul’s (1988b) use of them as evidence of a taxonomic difference is undermined. Because LACM 23845 was shown above to be a subadult T. rex , A. megagracilis is a junior subjective synonym of T. rex .

Olshevsky & Ford (1995) state that LACM 23845 is not complete enough to be diagnosable but proceed to refer the specimen to a new taxon that they diagnose. Their diagnosis repeats characters from Molnar (1980) and they add the wide caudal region of the frontals, which indicates the orbits faced rostrally, but not as much in Tyrannosaurus . However, the caudal region of the frontal lies within the dorsotemporal fossa and is independent of orbit orientation ( Figs 8 , 15C, D ). Olshevsky and Ford claim that there is a wide gap between the lacrimal and postorbital joint surfaces. However, the joint surface of the postorbital is missing on both sides, while a wide gap does not occur in subadult and adult tyrannosaurids (e.g. AMNH 5336, AMNH 5664, CMN 2120, ROM 1247). Unlike Olshevsky & Ford (1995), we suggest that LACM 23845 is diagnosable and can be referred to T. rex . Thus, D. megagracilis is a junior subjective synonym of T. rex .

DISCUSSION

We emphasize that our referral of LACM 28471 and LACM 23845 to T. rex is based on the presence of diagnostic characters of that species in both specimens. The stratigraphic position and geographical location of the specimens are consistent with the identifications; it is also most parsimonious to assume that small tyrannosaurids from late Maastrichtian beds are likely to be juvenile T. rex . The juvenile characters we document in both specimens are taxonomically neutral and they must be removed from the diagnoses of Aublysodon , Stygivenator and Dinotyrannus . If it were not for the presence of diagnostic characters in LACM 28471 and LACM 23845 , these specimens would be considered indeterminate small tyrannosaurids because several of the juvenile characters also typify most adult small theropods (e.g. dorsoventrally shallow dentaries; Table 4 ) and so do not support our argument because they are not diagnostic in and of themselves.

CRANIOFACIAL ONTOGENY IN

TYRANNOSAURUS REX

The hypothesis that LACM 28471 and LACM 23845 are juvenile and subadult specimens, respectively, of T. rex adds to our knowledge of growth in this taxon (cf. Carr, 1999).

Figure 17. Continued

QUANTITATIVE ONTOGENETIC ANALYSIS A quantitative analysis of 84 morphological characters (see Appendix 1) among five individuals of T. rex and a hypothetical embryo was performed using PAUP v. 3.1 ( Swofford, 1993). The data matrix ( Appendix 2) was compiled using MacClade v. 3.0 ( Maddison & Maddison, 1992) and then run in PAUP under ACCTRAN and DELTRAN optimizations. One hundred replicates were run under a heuristic search using a random addition sequence, tree-bisection-reconnection branch swapping, with the MULPARS option in effect. Finally, the trees were unrooted and multistate individuals were treated as polymorphisms. The characters were polarized by constructing a hypothetical embryo in which all states were coded as nascent and coded in a fashion analogous to the primitive state of a phylogenetic character (i.e. as ‘0’). The embryo was specified as the outgroup. The oldest specimen was specified using an artificial adult of the most mature characters. The specimen placed in a ‘sister species’ position with the artificial adult was considered to be the oldest adult.

Analysis of the ontogenetic characters resulted in a single branching diagram that arrayed the five specimens along an ontogenetic gradient or growth series ( Fig. 19 ). The tree is 89 steps long and, excluding uninformative characters, has a consistency index (CI) of 0.97, a homoplasy index (HI) of 0.03, and retention index (RI) of 0.97. Five growth stages can be described in terms of unambiguous character transformations (see Appendix 3).

In the first stage (small juvenile, e.g. LACM 238471 ), the rostroventral margin of the antorbital fossa grades into the lateral surface of the maxilla ( Figs 1D , 19 ). In small juvenile specimens of Albertosaurus libratus , this margin is distinct and is presumably the juvenile condition. Also, in small juveniles of T. rex the first maxillary tooth is nondenticulate and, in ventral view, the joint surface for the internasal septum is wide, indicating that the septum was disproportionately wide in juveniles ( Fig. 1C ). In contrast to larger specimens (e.g. CMNH 7541 ), the sagittal ridge that overlies the closed internasal suture is relatively wide, occupying almost one-third the width of the paired bones ( Fig. 1A, B ). In dorsal and ventral views, the interparietal suture is closed, although it is traceable rostrally in ventral view ( Fig. 2L, M ). The nuchal crest of small juveniles is only moderately indented on the midline in caudal view ( Fig. 2P ). In larger specimens ( CMNH 7541 ), this indentation is deep and the sagittal crest projects above the dorsal margin as a triangular projection in caudal view ( Carr, 1999). LACM 28471 appears to indicate the polarity of the frontoparietal suture in derived tyrannosaurid evolution: the suture is V-shaped in dorsal view, indicating that the transverse condition of Daspletosaurus and Tyrannosaurus may be derived, while the wedgelike suture of Albertosaurus might be primitive.

In the second growth stage (large juvenile, e.g. CMNH 7541 ), the sagittal crest is present and deep on the frontal, the frontoparietal suture is transverse, and the dentary is deep ( Fig. 19 ). The greatest morphological development occurs between stages two and three (subadult, e.g. LACM 23845 ). This is due in part to the lack of specimens to fill the gap between the juvenile and subadult specimens included in the analysis ( Fig. 19 ). Cranial ornamentation is elaborated in subadults, such as the appearance of gnarled nasals ( Fig. 19 ). Changes necessary for a mechanically optimal large skull are implied by evidence of intracranial buttressing, such as columnar and thick nasals and a deep frontal and parietal ( Figs 9 , 15A, B, F, G , 19 ). Inflation of bones by the antorbital air sac is reflected by the constricted frontal process of the nasals between the lacrimals, and the short and wide frontal ( Figs 8 , 9B , 15C, D ). Increase in the mass of the temporal musculature is indicated by the deep dorsotemporal fossa on the frontal ( Figs 8 , 15A, C, D ), low and wide sagittal crest of the parietal ( Fig. 15G, H ), lateroventral orientation of the surangular shelf ( Fig. 17A ), deep surangular and prearticular ( Fig. 17A, B, D, F ), rostral position of the dorsal margin of the prearticular ( Fig. 17D, F ), and caniniform teeth. Also, the thick nuchal crest reflects hypertrophied cervical musculature ( Fig. 15J- M ). Other changes are less easily accounted for, such as the enlarged marginal alveolar foramina of the maxilla ( Fig. 11A ), elongate and laterally concave premaxillary process of the nasal ( Fig. 9B, D ), and deep and rugose scar lateroventral to the glenoid fossa of the surangular ( Fig. 17A ).

In the fourth stage (young adult, e.g. AMNH 5027 ), the ridge that encircles the rostroventral margin of the antorbital fossa is obliterated by the thickened nature of the maxilla, the rostral ramus of the lacrimal is grossly inflated such that the ramus is deeper than the pneumatic recess, and the surangular shelf is orientated horizontally ( Fig. 19 ). Although the analysis including the artificial adult was equivocal between the two adult specimens, the fifth stage (old adult) is logically represented by LACM 23844 because it exhibits additional pneumatic destruction of bone in the antorbital fossa, principally in the interfenestral strut ( Fig. 19 ).

DENTICLE SIZE DIFFERENCE INDEX (DSDI)

Rauhut & Werner (1995) proposed DSDI as a sizeindependent means of comparing denticle densities (number of denticles per given unit length) among theropods. A purview of the DSDIs obtained for various growth stages of T. rex ( Table 5 ) indicates that DSDIs decrease in progressively larger specimens, that is, there are fewer mesial denticles per given unit length than distal denticles in large specimens and there are as many or more mesial than distal denticles in small specimens. Also, the DSDI among dentary teeth is higher than that in the maxilla (e.g. LACM 28471 ; Table 5 ), indicating that mesial denticles are smaller in the dentary (1.20) than in the maxillary (1.04) dentition.

DISCUSSION

PREMAXILLARY TOOTH VARIATION IN

TYRANNOSAURIDS

Lehman & Carpenter (1990) consider smooth carinae that converge at midheight of the crown and a bilobed median ridge on the lingual surface to diagnose the premaxillary teeth of Aublysodon . The authors consider denticulate and parallel carinae to be characteristic of other tyrannosaurids. It appears this observation is limited to Leidy’s (1860) figures of Deinodon where it is clear that the large denticulate crowns are missing the basal region where the carinae converge (1860, pl. 9, figs 35–40). Also, the premaxillary teeth of a new basal tyrannosauroid (NMMNH P-25049) and cf. Albertosaurus sp. (ROM 1422) display basally converging, denticulate carinae. Although they do not list it as a diagnostic character, Lehman & Carpenter (1990) also note a bilobed median ridge on the lingual surface of the tooth; this ridge is typical among tyrannosaurids, including cf. Albertosaurus sp. (ROM 1422) and a new genus of tyrannosauroid (NMMNH P-25049).

CONCLUSIONS

Based on the evidence presented herein, it is most parsimonious to identify LACM 28471 as a small juvenile T. rex and LACM 23845 as a subadult T. rex instead as different genera. Aublysodon is an invalid taxon; the skeletal characters ascribed to it are either plesiomorphic among Tyrannosauridae or growth-related. Likewise, Stygivenator molnari and Dinotyrannus megagracilis are invalid. Although Carpenter has suggested the Tornillo Formation of Texas has a large theropod that is not T. rex , it is referable to T. rex ( Carr & Williamson, 2000).

LATE MAASTRICHTIAN TYRANNOSAURID DIVERSITY

Currently, there is evidence for only one tyrannosaurid species, T. rex , in late Maastrichtian strata of western North America. This contrasts with the diversity in the late Campanian, where the occurrence of two genera in the same unit is not uncommon (e.g. Albertosaurus and Daspletosaurus in the Dinosaur Park Formation; Russell, 1970). Also during the late Campanian, different tyrannosauroid species were present in different regions of the west at approximately the same time.

DSDI

The variation in DSDI in T. rex indicates that individual and ontogenetic variation in this index must be defined before it is used to supplement taxonomic referrals (e.g. Rauhut & Werner, 1995). For example, the DSDI in the juvenile T. rex LACM 28471 matches that of a tooth (1.33) referred to Dromaeosauridae ( Rauhut & Werner, 1995) . The total range of DSDIs for the growth series is 0.62–1.33, which virtually encompasses that obtained by Rauhut & Werner for Theropoda, 0.60–2.33 (1995); when theropods with apomorphically fine mesial denticles are excluded (Velociraptorinae, Richardoestesia ) the range is 0.60– 1.20, which is encompassed by the variation in T. rex .

SIGNIFICANCE

LACM is currently the only museum that holds a growth series of T. rex . LACM 23845 helps to fill in the gaps in the growth series between the meter-long skulls of adults and the 60-cm skull of CMNH 7541 . LACM 28471 extends our knowledge of the morphology of small T. rex juveniles.

Figures

Figure 1. Facial bones of LACM 28471. Snout in dorsal view (A); frontal process of nasals in dorsal (B) and ventral (C) views; snout in left lateral (D) and right lateral (E) views, and the nasal process of the right maxilla in lateral (F) and medial (G) views.

Figure 2. Dorsal skull roof of LACM 28471. Left frontal (A) and right frontal (B) in dorsal view; joint surface of the parietal in caudal view (C); joint surface of the postorbital in lateral view (D) and cross section of this contact (E); left frontal in ventral (F) and lateral (G) views and cross section through the orbit (H); parietals in left lateral (I), rostral (J), right lateral (K), dorsal (L), and ventral (M) views; nuchal crest fragment in rostral (N), dorsal (O), and caudal (P) views.

Figure 3. Mandibular bones of LACM 28471. Right surangular in lateral (A), dorsal (B), and ventral (C) views; left (D) and right (E) dentaries in lateral view with diagrammatic cross sections of teeth. Cross sections are not to scale.

Figure 4. Diagrammatic sketches of cross sections of the dentition of LACM 28471 in comparison with that of another juvenile Tyrannosaurus rex (CMNH 7541). Numbers indicate alveolus position from mesial to distal.

Figure 5. Comparison of the right dentary (reversed) of LACM 28471 with those of other tyrannosaurid juveniles.

Figure 6. Comparison of the snouts of tyrannosaurids in left lateral view showing the contact of the antorbital fossa and nasal suture among tyrannosaurids. AMNH 5027 modified after Osborn (1912), CMN 8506 modified after Russell (1970).

Figure 7. Comparison of tyrannosaurid snouts in dorsal view, showing the appressed state of the nasal processes of the premaxilla in Tyrannosaurus rex. AMNH 5027 modified after Osborn (1912), CMN 8506 modified after Russell (1970).

Figure 8. Comparison of the dorsal skull roof of LACM 28345 with other tyrannosaurids. AMNH 5027 modified after Osborn (1912) and CMN 8506 modified after Russell (1970).

Figure 9. Nasals of LACM 23845 in right lateral (A), dorsal (B), left lateral (C), and ventral (D) views.

Figure 11. Facial bones of LACM 23845. Left maxilla in lateral view (A); right lacrimal in dorsal (B), lateral (C), and ventral (D) views; left quadratojugal in lateral (E) and medial (F) views; squamosal process of right quadratojugal in lateral (G) and medial (H) views, and the jugal

Figure 13. Comparison of the surangular of LACM 23845 with other tyrannosaurids in left lateral view. AMNH 5027 modified after Osborn (1912) and CMN 8506 after Russell (1970).

Figure 14. Pectoral girdle of LACM 23845. Left scapula in medial (A), lateral (B), and caudal (C) views; right ulna in distal (D), medial (E), and lateral (F) views.

Figure 16. Right otoccipital of LACM 23845 in

Figure 17. Mandibular bones of LACM 23845. Right surangular in lateral (A) and medial (B) views; left angular in medial (C) view; right prearticular in lateral (D), dorsal (E), medial (F), and ventral (G) views.

Figure 18. Right dentary of LACM 23845 in lateral (A) and medial (B) views.

Figure 19. Diagram of the results of a quantitative reconstruction of a growth series of five Tyrannosaurus rex specimens.

Lehman and Carpenter 1990: Figure 1—Preserved skull fragments ofNew Mexico Aublysodon cf. A. mirandus (OMNH 10131). 7, parts of the frontal-parietal mass; 2, 3, left postorbital; 4, left dentary. General skull outline adapted from Russell (1970). Scale bar 10 cm

Lehman and Carpenter 1990: Figure 2—Aublysodon cf. A. mirandus (OMNH 10131). Frontal-parietal mass in 1, dorsal view, and 2, right lateral view; left postorbital in 3, medial view, and 4, lateral view; left dentary in 5, medial view, and 6, lateral view. Abbreviations: cl, cleft in frontal; fr, frontal and suture for frontal; j, suture for jugal; lsp, suture for laterosphenoid; p, parietal; po, suture for postorbital; sq, broken squamosal process. Scale bar 10 cm.

Lehman and Carpenter 1990: Figure 3—Comparison of tyrannosaurid frontal bones in dorsal view. 1, Aublysodon mirandus (LACM 28471). 2, cf. Aublysodon sp. (TMP 80.16.485). 3, Aublysodon cf. A. mirandus (OMNH 10131). 4, Nanotyrannus lancensis (CMNH 5741). 5, Albertosaurus libratus (AMNH 5664). 6, Albertosaurus libratus (USNM 12814). 7, Daspletosaurus torosus (NMC 8506). Sutures for adjacent bones are shown: f, frontal; fn, notch in frontal (also indicated by arrow); 1, lacrimal; n, nasal; p, parietal; pf, prefrontal; po, postorbital; stf, border of supratemporal fenestra. Scale bar 10 cm. 1 and 5 are adapted from Molnar (1978), 2 from Currie (1987), 4 from Bakker et al. (1988), 6 and 7 from Russell (1970).

Lehman and Carpenter 1990: Figure 4—Aublysodon cf. A. mirandus (OMNH 10131). Premaxillary tooth in 1, lateral view, and 2, posterior view; 3, cross sections at indicated levels with anterior end to the right. Scale bar 10 mm

Lehman and Carpenter 1990: Figure 5—Aublysodon cf. A. mirandus (OMNH 10131). Left femur in 1, anterior view, and 2, posterior view; 3, right tibia in anterior view; 4, left metatarsal IV in lateral view; 5, left metatarsal III in lateral view; 6, left metatarsals III and IV articulated in anterior view; 7, pubic foot in right lateral view. Scale bar 10 cm

Lehman and Carpenter 1990: Figure 6—Comparison of distal end of right tibia and astragalus. 1, 2, Aublysodon cf. A. mirandus (OMNH 10131). 3, A. libratus (AMNH 5432). 4, A. sarcophagus (NMC 5601). An interpretive outline of the astragalus is shown by the dotted line in 2, as is the extent ofthe tibia behind the astragalus in 4. Abbreviations: a, astragalar facet; 1, lateral malleolus; m, medial malleolus. Scale bar 10 cm.

Figure 15. Dorsal skull roof of LACM 23845. Left frontal in lateral (A), medial (B), dorsal (C), and ventral (E) views; right frontal in dorsal (D) view; parietals in rostral (F), left lateral (G), dorsal (H), and ventral (I) views; nuchal crest in right lateral (J), left lateral (K), caudal (L), and rostrodorsal (M) views.

Figure 10. Comparison of the lacrimonasal articulation of LACM 23845 with other tyrannosaurids in left lateral view. AMNH 5027 modified after Osborn (

Figure 12. Comparison of the quadratojugal of LACM 23845 with other tyrannosaurids in left lateral view. AMNH 5027 modified after Osborn (1912) and PIN 551–2 after Maleev (1974).

Tables

Table 1. Differences in opinion of the osteology of LACM 28471 between previous authors and the interpretations presented in this paper

Molnar (1978)	Molnar & Carpenter (1989)	Olshevsky & Ford (1995)	This paper
–	Emarginated dentary	–	Damaged transition region
Dorsotemporal fossa absent	–	–	Dorsotemporal fossa present
Tract of subnarial foramen may be preserved	–	–	Fossa of subnarial foramen is preserved
Nasals shallow	–	–	Nasal deep, but crushed
Frontoparietal suture serrate	–	–	Frontoparietal suture serrate laterally
Joint surface of laterosphenoid on the frontal	–	–	Joint surface of the postorbital on the frontal
Joint surface of the prefrontal on the frontal	–	–	Joint surface of the lacrimal on the frontal
Absence of ossification of the crista cranii of the frontals with other bones	–	–	Disarticulation and loss of the prefrontal from the frontal
Joint surface of the prootic on the parietal	–	–	Joint surface of the laterosphenoid on the parietal
Lateral buttress of the surangular	–	–	Surangular shelf
Meckelian groove absent	–	–	Meckelian groove present
Interdental plates absent	–	–	Interdental plates present
Premaxillary tooth present	Premaxillary tooth present	Premaxillary tooth present	First maxillary tooth
D-shaped first dentary tooth	–	–	Conical first dentary tooth
–	Caudolateral margin of frontal absent	–	Caudolateral margin of frontal present
	Joint surface of the postorbital on the frontal is absent	–	Joint surface of the postorbital on the frontal is present
–	Joint surface of the prefrontal on the frontal	–	Joint surface of the lacrimal on the frontal
–	Region of dorsotemporal fossa flat	–	Dorsotemporal fossa concave
–	V-shaped rostral margin of antorbital fossa	–	Rostral margin of antorbital fossa extends caudodorsally

Table 2. Differences in opinion regarding the osteology of LACM 23845 between Molnar (1980) and this paper

	Molnar (1980)	This paper
Nasals	flexedrostroventrally	damaged
Frontal process of nasal	not strongly constricted	incomplete but constricted
Dorsal ramus of lacrimal	shallow	only upper half present
Joint surface of the postorbital on the frontals	present	absent
Joint surface of the prefrontal on the frontal	smoothly concave	rugose
Frontoparietal suture	V-shaped	transverse
Supraoccipital	present	notpreserved
Olecranon process of ulna	apomorphically absent	broken off and missing
Ungual	manual ungual present	Pedal D I ungual
Joint facet of ungual	angular	damaged

Table 3. Variation of the position and width of the end of the sagittal crest on the nuchal crest among tyrannosaurids. The number of specimens exhibiting a given state is in parentheses

Specimen/ Taxon	Position	Width	Variation
Albertosaurus libratus
AMNH 5336	reaches dorsal margin	narrow	reaches dorsal margin; narrow (3) or
ROM 1247	reaches dorsal margin	wide	wide (1)
TMP 86.144.1	–	narrow
TMP 91.36.500	reaches dorsal margin	narrow
A. sarcophagus
AMNH 5222	stops short	narrow	stops short (2) or reaches (1)
TMP 81.10.1	stops short	narrow	dorsal margin; narrow (2) or wide (2)
TMP 85.98.1	reaches dorsal margin	wide
TMP 86.64.1	–	wide
Daspletosaurus
CMN 8506	reaches dorsal margin	narrow	stops short (2) or reaches (4) dorsal
CMN 11594	stops short	wide	margin; narrow (4) or wide (1)
FMNH PR308	reaches dorsal margin	narrow
TMP 85.62.1	reaches dorsal margin	narrow
TMP 94.143.1	–	narrow
New genus
NMMNH P-25049	reaches dorsal margin	wide
NMMNH P-27469	stops short	narrow	stops short of dorsal margin or reaches; narrow or wide
Tyrannosaurus rex
AMNH 5027	stops short	wide	stops short (4) or reaches (5) dorsal
AMNH 5029	reaches dorsal margin	narrow	margin; narrow (8) or wide (1)
AMNH 5117	reaches dorsal margin	narrow
BHI 3033	reaches dorsal margin	narrow
CMNH 7541	reaches dorsal margin	narrow
FMNH PR2081	stops short	narrow
LACM 23845	stops short	narrow
LACM 28471	reaches dorsal margin	narrow
TMP 81.6.1	stops short	narrow

Table 4. Comparison of the juvenile characters of LACM 28471 and LACM 23845 with adults of selected clades of small late Cretaceous theropods from various sources: Troodontidae (Barsbold, 1974; Currie, 1985, 1987, 1995; Currie & Dong, 2001b; Xu et al., 2002); Dromaeosauridae (Ostrom, 1969; Sues, 1978; Currie, 1987; Xu & Wu, 2001; AMNH 6515 (cast); PIN 3143/8 (cast); MOR 747); Ornithomimidae (Currie, 1987; ROM 840; TMP 90.26.1; Parks, 1928; Osmolska et al., 1972; Barsbold, 1983)

	LACM 28471	Troodontidae	Dromaeosauridae	Ornithomimidae
Teeth	nondenticulate	nondenticulate and denticulate	nondenticulate and denticulate	nondenticulate
	narrow lateral	narrow lateral	narrow lateral	narrow lateral
Skull bones	lightly built	lightly built skull	lightly built	lightly built
Nasomaxillary suture	smooth	smooth	smooth	smooth
Lateral margins of frontal process of nasal	parallel	parallel	parallel	parallel
Maxilla	shallow and narrow	shallow and narrow	shallow and narrow	shallow and narrow
Maxillary fenestra	caudal to rostral margin of antorbital fossa	caudal	caudal	caudal and at the rostral margin
Rostral margin of dorsotemporal fossa	indistinct	distinct	distinct	indistinct
Joint surface of postorbital of frontal	series of grooves and ridges	pair of facets	pedunculate	-
Joint surface of the lacrimal on the frontal	long and narrow	long and narrow	short and narrow and short and wide	–
Joint surface of the prefrontal on the frontal	long and narrow	prefrontal absent?	long and narrow	long and narrow
Frontal processes of the nasal	exposed dorsally	exposed dorsally	exposed dorsally	exposed dorsally
Scar lateroventral to glenoid fossa of the
surangular	shallow groove	–	absent	–
Dentary	dorsoventrally shallow	dorsoventrally shallow	dorsoventrally shallow	dorsoventrally shallow
Dorsal and rostroventral margins of the dentary	meet at a low angle	meet at high and low angles	meet at high and low angles	meet at high and low angles
	LACM 23845	Troodontidae	Dromaeosauridae	Ornithomimidae
Nasals	rugose	smooth and rugose	smooth	rugose
Frontonasal suture	W-shaped	V-shaped	W-shaped and V-shaped	V-shaped
Dorsal ramus of lacrimal	shallow	shallow	shallow	shallow
Nuchal crest	smooth	smooth	smooth	smooth
Tubercle for M. depressor mandibulae
of the otoccipital	low	absent	absent	–

Table 5. Comparison of DSDIs (Denticle Size Difference Indices) in a growth series of Tyrannosaurus rex showing sizeindependent variation. Denticles were counted per 5 mm at the base, midheight and apex of the carinae. Abbreviations: a, apical; b, basal; D, dentary; L, left; M, maxilla; m, midheight; R, dentary; U, unknown source bone; numerals indicate alveolus position

Specimen	DSDIs	DSDI range and average
LACM 238471	LM4m: 1.00m, 1.08a; LM6: 1.00a; RM4: 1.08b; RM5: 1.08m; LD3: 1.21m; RD3: 1.33a; RD4: 1.14a; RD5: 1.20a; RD7: 1.07m	Range: 1.00–1.33 Average: 1.12
CMNH 7541	LM3: 1.08m; RM7: 0.92a	Range: 0.91–1.08 Average: 1.00
LACM 23845	U: 0.92b, 1.11m, 0.90a; U: 0.93b, 0.83m; U: 1.00b, 0.94m	Range: 0.83–1.11 Average: 0.95
NMMNH P-3698	U: 0.75a, 0.80m, 0.86b; U: 0.86m; U: 0.86a, 0.88m, 0.62b; U: 1.00a	Range: 0.62–1.00 Average: 0.83
		Total range: 0.62–1.33 Total average: 0.95