UNr RSITY OF ILLlK^iS LIBRARY NATURAL HIST. SURVEY FIELDIANA • GEOLOGY Published by CHICAGO NATURAL HISTORY MUSEUM Volume 10 March 30, 1955 No. 21 FAUNA OF THE VALE AND CHOZA: lo Trimerorhachis: Including a Revision of Pre- Vale Species Everett Claire Olson Research Associate, Division of Paleontology Professor of Vertebrate Paleontology, University op Chicago INTRODUCTION Specimens of the rhachitomous amphibian Trimerorhachis are relatively abundant in beds of Vale and early Choza age in north central Texas. Of the tetrapods only Dimetrodon, Diplocaulus, and Lysorophus outnumber this genus in our collections. A large pro- portion of material of Trimerorhachis, however, has come from two sites, one in the middle Vale and the other in the lower Choza. The Vale specimens are all fragmentary, but those from the Choza in- clude skulls and partial skeletons in a reasonably good state of preservation. The latter provide a basis for a taxonomic evalua- tion at a level not practical for the Vale specimens. Evaluation of the taxonomic position of the new materials has required a restudy of collections from lower horizons, for, as has been apparent for many years (see Romer, 1947), the taxonomy of this genus is badly in need of revision. The collections of the Museum of Comparative Zoology, the American Museum of Natural History, the University of Michigan, and Chicago Natural History Museum were made available for this study. I am grateful to these institutions for the opportunity to study their materials and to the many staff members who facilitated the work. As yet no specimens of the genus Trimerorhachis have been found in post-Clear Fork beds. One specimen, CNHM-UR 155, from the San Angelo has been tentatively assigned to the family Trimerorhachidae (Olson and Beerbower, 1953). It consists of the posterior part of a small lower jaw. If this assignment is correct, the range of the family as now known is from the Putnam Formation of the Wichita group to the middle part of the San Angelo For- mation of the Pease River group. No. 745 225 226 FIELDIANA: GEOLOGY, VOLUME 10 STRATIGRAPHIC AND GEOGRAPHIC DISTRIBUTION The genus T rimer orhachis is now known from eight of the nine formations included in the Wichita and Clear Fork groups of Texas. The specimens considered in this report comprise individuals from all of these formations, but do not include those collected from the Arroyo and Vale in Taylor and adjacent counties of Texas under the direction of the University of Texas (Wilson, 1948). As yet the genus has not been identified in the lowest formation of the Wichita group, the Moran. The sequence of formations involved is as follows: Clear Fork Group Wichita Group Choza Clyde Vale Belle Plains Arroyo Admiral Lueders Putnam Moran The lower five formations, largely non-marine in the area under consideration, and the marine Lueders are considered to belong to the Wichita group in many reports on the Texas Permian. The Clyde and Lueders, however, are assigned to the Clear Fork by some authorities (Romer and Price, 1940, among others). For the purposes of the present report, the assignment of formations to one group or the other is not of particular importance, but it is my opinion that the sedimentological and faunal characteristics of the Clyde suggest affinities with the Wichita rather than the Clear Fork formations. Non-marine phases of the formations of the Wichita group are well exposed and fossiliferous in Archer clay, Baylor and Wilbarger counties, Texas. Fossiliferous Clear Fork beds are extensively exposed in Baylor, Wilbarger, Knox, and Foard counties. A general northeast-southwest strike is maintained over this area and there is a gentle dip that averages about fifty feet to the mile. Most of the localities that have produced fossils, except those in the Vale and Choza, are shown on the map published by Romer (1928). Vale and Choza localities are given in my earlier papers (Olson, 1948, 1951a-d). Moran Formation. — There is no definite evidence of Trimeror- hachis in this formation. Materials so identified in the field have been found to belong to an unnamed genus, which is similar to Chenoprosopus and characterized by an elongated snout and a OLSON: FAUNA OF VALE AND CHOZA 227 pattern of dermal sculpture rather different from that of Trimeror- hachis. Putnam Formation. — Both Trimerorhachis and the unnamed genus mentioned from the Moran occur in this formation. The former has been positively identified on only one slab, MCZ 1381, from Table Branch, Archer County, Texas. Associated with Tri- merorhachis at this locality is the long-snouted, undescribed amphi- bian. The material is fragmentary. On the Fall School land (section lb). Archer County, Texas, some scraps that suggest the presence of Trimerorhachis have been found. Most specimens from the Putnam previously identified as Trimerorhachis actually belong to the other genus. Admiral Formation. — Trimerorhachis occurs at a number of lo- calities in this formation and, for the first time, has assumed a place of prominence in the fauna. The finest specimens have come from Rattlesnake Canyon, in northwestern Archer County. A slab con- taining a series of skulls and skeletal parts was obtained from this locality by the University of Michigan and Harvard University (see Case, 1935). The sample from the Admiral used in the present study came in large part from this slab. Specimens from other localities are generally fragmentary. Belle Plains Formation. — Trimerorhachis is abundant in the Belle Plains. So far as is known, the time represented by this formation marked the numerical climax of the genus. The sample used in the current study was assembled from a number of sites, including deposits along the upper reaches of the North Fork of the Little Wichita, below Fulda, at Tit Mountain and along Slippery Creek (see Romer, 1928, and Romer and Price, 1940, for locations). About half of the skulls used in the analyses that follow occur on a single slab from the North Fork of the Little Wichita, AMNH 7116. At various places in the Belle Plains, fragmentary remains of Trimerorhachis are concentrated in great abundance. Clyde Formation. — Relatively few specimens of Trimerorhachis have been found in the Clyde, although fragments have been ob- tained in a number of places and one skull has been recovered. In large part, the material is not suitable for analysis of its specific affinities. Arroyo Formation. — Remains of Trimerorhachis occur throughout the Arroyo Formation, but are scattered, and, for the most part, fragmentary. Reduction from the Belle Plains, both in absolute and relative numbers of specimens, is striking. The greatest accu- 228 FIELDIANA: GEOLOGY, VOLUME 10 mulation of specimens known is in a locality near the mouth of West Coffee Creek. All of the skulls, five in number, that are suitable for study, have come, with one possible exception, from beds that are high in the Arroyo section. Fragments are present at all levels. Vale Formation. — The contact of the Arroyo and Vale formations is considered to be at the top of a series of beds of even red shales in western Baylor County (Olson, 1951a). At many exposures it is diffi- cult to separate the two formations on physical grounds alone. Where the contact is clear, it has been found that certain species are characteristic of the Vale and may be used as horizon markers with some confidence. The most important from the standpoint of fre- quency and ease of recognition are Labidosaurikos barkeri and Gnathorhiza dikeloda. Trimerorhachis occurs near the top of the Arroyo and in basal beds of the Vale. It is encountered occasionally in both stream and pond deposits throughout the latter, but the greatest concentration is in a small series of channel fills in the "fish quarry," locality KF. A number of fragmentary specimens have been found in a small pond deposit in locality KH. Both of these sites appear to be middle Vale in age. At both, specimens consist of disarticulated and broken parts of jaws, skulls, shoulder girdle plates, vertebrae and limb bones. Choza Formation. — Virtually all of the Choza specimens of Tri- merorhachis well enough preserved for detailed study have come from a single quarry at the "pipe site" in locality FA (Olson, 1951a). This site lies approximately 150 feet above the base of the formation. Scattered remains have been found as high as middle Choza. REVISION OF PRE-VALE TRIMERORHACHIS The morphology of the skull and skeleton of Trimerorhachis has become well known through the studies of Cope (1878, 1896a, 1896b), Case (1911, 1935), and others. Only a few details can be added to this knowledge in the current report. These are noted in discussion and figures of particular specimens later in the text. Seven species have been named, as follows: T. insignis Cope (1878), T. bilobatis Cope (1883), T. mesops Cope (1896), T. conangulus Cope (1896), T. leptorhynchus Case (1902), T. alleni Case (1910), T. medius Broom (1913). The characters that were used to distinguish the various named species have not been reviewed systematically since the genus was revised by Case (1911). T. leptorhynchus was discarded, properly, OLSON: FAUNA OF VALE AND CHOZA 229 as indeterminate by Case at that time. Many additions have been made to collections since 1911, so that studies based on fair-sized samples are now possible. Although there is continuity of the genus from the earliest to the latest occurrence, it has been found con- venient to divide this study into two parts, one that deals with the pre- Vale specimens and the other that considers the Vale and Choza finds, new materials heretofore unreported in detail. The final section is devoted to a synthesis of known data into a summary of the evolution of the species. REVIEW OF THE PRE-VALE SPECIES Class AMPHIBIA Subclass Apsidospondyli Order Rhachitomi Family Trimerorhachidae Genus Trimerorhachis^ Trimerorhachis insignis Cope (1878) Type. — AMNH 4565. Rather poor skull, lower jaws with front part missing, 24 vertebrae, some with ribs, humerus, and scapula. Included in the specimen listed as the type, when it was examined, were bones belonging to other genera and fragments of several individuals of Trimerorhachis. There is no certainty that all parts listed above as the type belong to the same individual. All parts that could reasonably be assumed to belong to the described speci- men have been retained under AMNH 4565. The remainder has been segregated for renumbering. Specimen referred (by Case). — AMNH 4557. Skull and lower jaws. Horizon and locality. — Belle Plains Formation, Tit Mountain, Archer County, Texas. Revised description (Case, 1911). — Posterior angle of jaw com- posed of a single tuberosity, an outer tuberosity indicated by a small protuberance. Skull somewhat expanded posteriorly. Orbits in anterior half of skull. ' Of the seven species, all but T. medius Broom were reviewed by Case in 1911. The history for each of these six species is given in his report and is not repeated here except for the details necessary to an understanding of its taxonomic position. 230 FIELDIANA: GEOLOGY, VOLUME 10 Trimerorhachis bilobatis Cope (1883) Type.— AMNE. 4562. Angle of mandible. Specimens referred (by Cope). — AMNH 4558, a jaw labeled as a paratype. Cope refers to two other specimens in his original de- scription, but the numbers are not given. Horizon and locality. — Belle Plains Formation, Tit Mountain, Archer County, Texas. Revised description (Case, 1911). — Posterior angle of the jaw formed by two subequal tuberosities separated by a deep groove. Inner side of inner tuberosity vertical, with strong, horizontal keel. Trimerorhachis mesops Cope (1896a) Type. — AMNH 4568. Imperfect skull and vertebral column. Horizon and locality. — Arroyo Formation, West Coffee Creek, Baylor County, Texas. This locality places the specimen in the upper third of the Arroyo Formation. Revised description (Case, 1911). — Inner side of inner tuberosity continued inward horizontally; no keel. Skull not expanded pos- teriorly. Orbits almost exactly in middle of skull. Comments. — The skull is in rather poor condition with the right, posterior one-fourth missing. Crushing is not extensive. It is probable that the posterior margin as preserved does not represent the original margin. The preserved part is well forward of the otic notch and the posterior end of the parasphenoid lies back of the end of the dorsal platform. The posterior margin of the platform, how- ever, is smooth, and only its abnormal relative position suggests that part may be missing. Trimerorhachis conangulus Cope (1896b) Type.— AMNH ^569. Skull. Horizon and locality. — Arroyo Formation. Two localities are given (on the label), Pony Creek and Indian Creek, both in Baylor County, Texas. It appears virtually certain from the type of preservation that the Indian Creek locality, rather than Pony Creek, is correct, and that the specimen comes from deposits of late Arroyo age. Revised description (Case, 1911). — Smallest of genus. Skull not so fiat in postorbital region. Intertemporal present. Doubtfully a Trimerorhachis. OLSON: FAUNA OF VALE AND CHOZA 231 Comments. — This is an excellent small skull. It is certainly immature, for there is poor ossification in the occipital region, except for the exoccipitals. This has made generic placement somewhat difficult. The pattern of the dermal elements of the skull appears to be comparable to that of other specimens of Trimerorhachis. There is no postero-lateral (sensory) groove on the lower jaw, but this may be an age character. This specimen clearly cannot be assigned to any known genus other than Trimerorhachis and, since its fundamental characters are definitely those of Trimerorhachis, there seems little doubt that this is the correct assignment. Trimerorhachis alleni Case (1910) Type. — AMNH 4577. Four dorsal vertebrae. Horizon and locality. — Admiral Formation. East side of Rattle- snake Canyon, Archer County, Texas. Description (Case, 1911). — Larger than in any others. Neural spines show little indication of being divided. Pleurocentra propor- tionately small. Intercentra with deep pits to either side of median keel. Posterior edges of upper ends of intercentra reflected forward, forming a concise facet. Trimerorhachis miedius Broom (1913) T^/pe.— AMNH 4895. Skull. Horizon and locality. — There is some uncertainty concerning the horizon and locality. The specimen comes from the north side of the Little Wichita River, but there is conflict in the records with respect to the exact locality. The specimen appears to be either from the early Belle Plains or the late Admiral of Archer County, Texas. Summary of Broom's description. — Differences from T. insignis, according to Broom, are as follows: frontal relatively wider, jugal approaching the orbit more closely, suprasquamosal relatively rather large, parietal smaller, squamosal relatively smaller; the eyes slightly farther back, the whole skull relatively narrow. CONSIDERATION OF THE "SPECIFIC" CHARACTERS The six species were named by three individuals over a period of 35 years. New materials were collected during this period and concepts changed. The bases for the various species were characters shown by one or two individuals in most cases (four in one instance) . 232 FIELDIANA: GEOLOGY, VOLUME 10 Comparisons were made for the most part with only one or two other species. Adequate samples for studies of distributions of characters did not become available until the last decade of the period. Little attempt was made to coordinate the various observations. Even in Case's revision (1911) no comprehensive comparison was made, but it must be realized that he was undertaking the almost impossible task of bringing together and unscrambling a series of studies that had accumulated since about 1875. Inevitably a rather lengthy list of more or less unrelated "dif- ferences" was assembled during the 35-year period. Confusion was increased by the fact that structures that showed supposed specific differences were not present in the types of specimens of all the species. The characters that were used may be summarized as follows: Skull Characters: 1. Size. 2. Proportions, especially width compared to length, either in an all-over sense or involving posterior width only. 3. Curvature of the dorsal surface. 4. Position of the orbits with relation to the anterior and posterior ends of the skull. 5. Proportions of various skull elements. 6. Elements present in the dermal roof of the skull. Lower Jaw Characters: 1. Posterior angle of the jaw, whether it carries one or two tuberosities. 2. Presence or absence of a groove on the posterior and ventral surface of the jaw. This associated with the presence or absence respectively of the second tuberosity. 3. The existence and orientation of a keel on the postero- ventral surface of the jaw, also associated with the condition of tuberosities. Vertebral Characters: 1. Size. 2. Neural spine divided or single. 3. Relative size of pleurocentra. OLSON: FAUNA OF VALE AND CHOZA 233 4. Presence or absence of lateral pits and keel on intercentra. 5. Distinctness of anterior facet on inflected dorsal parts of intercentra. All available material has been restudied, in an effort to de- termine the significance of the various characters in this array. A total sample of 47 skulls from the Admiral, Belle Plains, and Arroyo formations was assembled. In addition, fairly large samples of lower jaws, vertebrae, and limb bones from various localities were used. Analysis of this material and its bearing on the taxonomy of Trimerorhachis from pre- Vale deposits are considered in the following paragraphs. ANALYSIS OF TAXONOMY OF FRE-VALE TRIMERORHACHIS Skull Characters T. conangulus, T. mesops, T. insignis, and T. medius have been separated, in part, on the basis of characters of the skull. T. bilobatis was based on characters of the lower jaw and T. alleni on vertebral characters, and cannot be considered in this section. Size, propor- tions of major skull dimensions, position of orbits, and proportions of skull elements are all suitable for quantitative analyses based on linear measures. Frequency distributions, bivariate scatter dia- grams, and regression lines have been used in the present study for this purpose. If distinctions of specific importance exist, they should be revealed, as the various dimensions are studied by these means. To effect such a study all of the Admiral, Belle Plains, and Arroyo skulls have been treated together, including the type skulls of T. mesops, T. conangulus, and T. medius and the paratype of T. insignis, for which the type skull is not well enough preserved to provide suitable measurements. Fourteen measurements were taken on the skulls. These include the dimensions that were used earlier to dif- ferentiate species, so far as this was possible, as well as others. The measurements used are shown graphically in figure 91. Values for most of the Admiral and Belle Plains specimens were published earlier (Olson, 1953). The previously unpublished values for speci- mens from these formations and those for Arroyo specimens are given in Table 1. Studies were carried out in two general ways, one based on frequency distributions of linear dimensions that provide information on the factor of size, the other, on scatter diagrams and regression lines for analyses of proportions. These studies cover items 1, 2, 4, and 5 in the list of skull characters (p. 232) but do not have a bearing CO lo • 00 •^ Oi IX> O^ (M CO •S CO . • U5 rH • iO y-l • 1— ( U3 t~ CO ko • • c o CO o CO t>«00 «CI»0-(>q oi n ■ y-t -^ 7-t • n (MOO-O Tj— I U3i-H-C^ OOCXD-C^ CO(J5-<3i (M CO • ■>* • r-l CO o C3 ^_i 05 S ■ T-H •(<» -« ►-I Q *-^ -si CO ■^ • CO T-H 1 6 CO • C^J H g ►J ^^ s • o . ?D • M E^ o • .— 1 <3 ««-i H o "5 o • T-H ^ m "o ►5 «o c^ ■ O U5 ^-^ "-I • '-' • ^ Tj< ,-H CO iSJSiSJSiSJS s. s. s. s. §. §. tr" T^ T"" T^ 'T* Z"^ P^ 1^ lO rO »0 (^ PhAhPhP^PhAh OOOOOO %~t %-t %^ %^ %-t %^ == 1=::=:^ s:=5 * ;d ILi ■^ "^ "^ "^ t^ "^ 0) O O O O 1-H O J2 ^ --I --- r-H ^ — I 3 UOOOOU 'Z ti t:) ;:2 & 1:2 ID M ffi .-I t~ 00 OS tt; C ^, CO ixi 00 Z Z CSI CO CO CO c^ c4 C3 c^ c4 N N N N H o o o o o ^ j3 -C -C J3 ooooo 00 t> oi CO -^ CO CO 00 CO t- t- i-H T-H t- 05 tf P5 tf CtJ Oh ID |D|D|D|Dt2 234 OLSON: FAUNA OF VALE AND CHOZA 286 on dorsal curvature or differences in elements present. Crushing tends to alter curvature materially in most skulls of Trimerorhachis and renders it an unreliable character for recognition of small differences such as those that may have existed between members ,(-INA^-»| Fig. 9L Diagram of skull of Trimerorhachis in dorsal aspect with key to position and abbreviations of all measures used except Skd, the depth of the skull at the level of the anterior termination of the otic notch. of the sample. Examination of the sutures of T. conangulus, which has been thought to have a pattern somewhat different from that of others, indicates that the usual suite of bones is, in fact, present, and that the relationships are normal. 1. The Factor of Size: The use of such terms as large and small, or their comparatives and superlatives, in taxonomic descrip- tions without specification of what is meant is always a source of confusion. Presumably all-over size is implied, but even this in itself is not a clear concept. In the use of linear dimensions as a basis for a concept of size it must be assumed (unless there is a state- ment to the contrary) that equal weight is given to each dimension. For example, it is possible to think of the dimensions of a complex object, such as a skull, in many ways, in linear, areal, or volumetric terms. It would appear that most unqualified references to size 236 FIELDIANA: GEOLOGY, VOLUME 10 imply linear dimensions. There seems, as well, to be a subconscious tendency to group measurements into a series of more or less loose orders, one involving the maximum of such dimensions as skull length, width, or depth, a second involving lesser dimensions of major visible divisions of the skulls, and a third involving highly varied arrays of small measures such as dimensions of individual bones, apertures, etc. Impressions of size, as implied in the use of comparative terms, generally seem to involve some combination of the first order mentioned, influenced to some degree by measures of the second order. If this is the case, it seems reasonable to use some linear measure of the first order that is highly correlated with other gross measures of this order, to test the distribution of size. It is probably true, in many cases, that various dimensions that contribute to a concept of size do not contribute with equal weight to the impressions reported, but it is impossible to evaluate the nature of any such bias in many descriptions. Fortunately, when one or more dimensions have dominated the thinking of the describer, this tends to be indicated by such statements as "proportionately broader," "not so wide," or "long and narrow." The statements about skull size of Trimerorhachis seem to have been made in general accord with the assumptions and reasoning of the last paragraph. If this is true, the factor of size may be studied by the use of frequency distributions of skull length, since this is a dimension of the first order that may be shown to be rather highly correlated with other gross dimensions (see Olson, 1953). This measure has been used in the following determinations. The series of skulls of Trimerorhachis includes an array of growth stages. A low value for skull length may express immaturity of a specimen or it may indicate a small adult. Unless there is evidence on the state of maturity, usually in the degree of ossification, a decision may be difficult. The fact that frequency distributions of a linear dimension on members of a growth series may be bimodal or trimodal (see Olson and Miller, 1951, for examples) renders such diagrams invalid as the sole evidence for a decision. It is unsafe practice to erect a new species of amphibian on the basis of some expression of gross size alone and any such determinations must be viewed with skepticism in the absence of other information. Figure 92 presents a single frequency distribution based on skull length, as defined in this paper, for the skulls of Trimerorhachis from the Admiral, Belle Plains, and Arroyo formations, and distri- butions for samples from each of these formations separately. Throughout this study, the hypothesis that there exists a strati- oM m Wm m 'M 35 45 55 65 75 85 95 105 115 125 135 145 155 165 175 A SK ARROYO W/. ^ W/ ^ y/A % 1 m 35 45 55 65 ^5 85 95 105 IIS 125 125 145 155 I6S 175 SK, ADMIRAL 35 45 35 65 75 85 95 105 115 125 135 145 155 185 175 Q SK, ADMIRAL + BELLE PLAINS + ARROYO Fig. 92. Histograms showing frequency distribution of skull lengths of Trimerorhachis from pre- Vale deposits; 1 = 10 mm. A, Arroyo skulls; B, Belle Plains skulls; C, Admiral skulls; D, composite distribution of skulls from Admiral, Belle Plains, and Arroyo formations. 287 238 FIELDIANA: GEOLOGY, VOLUME 10 graphic arrangement of species has been considered, and tests have been made where appropriate. The composite frequency distribution in figure 92, D, is of the type frequently encountered in growth series of amphibians and reptiles where some gross linear dimension is plotted. All specimens in this distribution could belong to the same species. Most questionable, perhaps, is the inclusion of the skull in the 170-179 class, but the large size is not prohibitive, particularly in view of the fact that specimens of this general dimen- sion and somewhat smaller are known from jaws, suggesting that the sample based on skulls has a somewhat misleading bias. One of the principal characters of T. conangulus, cited by Case, is size. Although the type skull is the least in length of any in the sample, there is no assurance that it might not be merely an immature individual, for certainly juveniles could be expected to have skulls less than 35 mm. in length at an early stage of ontogeny. The fact that the skull is poorly ossified and obviously immature gives support to its inclusion with the others. 2. Proportions: Skull proportions raise problems that are more complex than those involving size alone, for two or more variables are necessarily involved. A reasonably satisfactory method of pre- liminary treatment of proportion is possible through the use of bivariate scatter diagrams. These, plus a more refined treatment of regression lines for pairs of characters that show some promise for discrimination, have been used for the study of proportion in this paper. Because growth series are involved, ratios cannot be directly used with any hope of satisfactory results. Relative posterior width and positions of the orbits relative to the midpoint of the median longitudinal line of the skull roof appear in the description of T. mesops. Frontal width, position of the jugals relative to the orbit, size of the suprasquamosal (supra- temporal of this paper), size of the squamosal, size of the parietal, position of the orbits, and relative width of skulls are mentioned by Broom as definitive of T. medius. All of the measurements and rela- tionships, except those of the jugal and squamosal, are covered by measures used in this paper as shown in the tabulation below. After initial attempts to measure the jugal and squamosal had been made, efforts to obtain quantitative data from them were abandoned, since distortion and breakage were too great in most instances to allow confidence in the measurements. These elements are thus not covered, but the fact that no reliable information could be obtained, suggests that their use as a basis for diagnosis is highly questionable. The characters covered by the measures are as follows : OLSON: FAUNA OF VALE AND CHOZA 239 Position of orbits: relationships of 0-Sl (orbito-snout length) to Ski (skull length). Posterior width of skull: Skw (posterior skull width). Size of suprasquamosal= supra temporal: Stl (supra temporal length). Size of parietal: Pal (parietal length), and Paw (parietal width). The above measures and others, as shown in figure 91, have been studied by use of bivariate scatter diagrams of all possible pairs of measures. Skulls from each formation were entered in the original diagrams in different colors. These diagrams then were analyzed visually to separate them into four groups, as follows: 1. Highly correlated (r, sample correlation coefficient, estimated to be >0.9). 2. Less well correlated (r estimated to be <0.9). 3. Showing some evidence of separation of groups from different formations. 4. One or a few specimens appearing to fall out of the main cloud of points. The diagrams in this category fall into one of the other three if the rejected specimens are eliminated. An example of each type is shown in figure 93. Relationships that fell into groups 1 and 2 (above) were considered to be common to the genus in the pre- Vale deposits. Those in group 1 show a higher level of association of pairs in relative size than the pairs of measures grouped under 2. Separation into groups in type 3 occurred only in comparisons of Admiral and Belle Plains specimens, but detection of differences between the Arroyo specimens and the earlier ones would be possible, in view of the small size of the Arroyo sample, only in the event that there was a very strong and uniform divergence. The scatter diagrams that fell into group 4 did so in all cases by virtue of the inclusion of certain Arroyo specimens. With these specimens removed, all diagrams placed in group 4 could be included in one of the other three groups. The 14 measurements provided a total of 91 pairs for study. Sixty-eight fell in groups 1 and 2. Sixteen showed one or more specimens well outside of the main cloud of points and were referred to group 4. The scatter diagrams of eighteen pairs of measures seemed to show some evidence of separation into two groups of points. These were placed in group 3. Certain of these eighteen were originally in group 4, because of the inclusion of Arroyo speci- mens, and were allocated to group 3 upon the deletion of these specimens. The relationships of the regression lines fitted to the apparently separate groups of points, Admiral and Belle Plains 40 33 30 2S PO, 20 • c » ••< ) o • » B A 3 15 20 25 CLASS I • PRE-ARROYO (3 ARROYO O CHOZA 30 25 20 0, 15 10 5 Q ( © > • • ©• • • • • • B 10 15 20 25 30 CLASS 3 40 35 30 25 PO, 20 15 10 5 • • • e • ^ ' © • o» (. • n c 45 40 35 30 0-S|25 20 IS 10 5 D 15 20 25 30 35 40 45 0-5, CLASS 2 (j I ( >• © © o . • • ► 20 25 30 35 40 45 FR, CLASS4 Fig. 93. Sample bivariate scatter diagrams of four classes used in specific determination of pre- Vale skulls. A, Class 1 : high correlation. B, Class 3: showing some evidence of separation between regressions of specimens from Admiral and Belle Plains formations. C, Class 2: moderate to low correlation. D, Class 4: with one or more points appearing to fall out of the main cloud (s) of points. 240 OLSON: FAUNA OF VALE AND CHOZA 241 respectively, were studied by analysis of variance, following the method outlined by Olson and Miller (1951). The following four pairs of measurements of the total eighteen were found to have differences considered to be significant on the basis of the probability levels shown below: 1. OZ on low (test of hypothesis that regression lines were the same): F=9.3 (nl = 2, n2=18), P <0.01 test of hypothesis that hyx (slope) is the same: F=0.5 (nl = l, n2=18), P >0.1 The difference lies in the position of the lines, ayx. 2. 01 on Pol (test of hypothesis that regression lines were the same) : F=6.85 (nl=2, n2=17), P <0.01 test of hypothesis that hyx is the same: F=6.63 (nl = l, n2=17), 0.05 > P >0.01 The difference probably lies in the slope of the lines. 3. Ow on 0-Sl (test of hypothesis that hyx is the same) : F=8.25 (wl = l, n2=22), P <0.01 The difference is in the slope of the lines. 4. Ow on Frl (test of hypothesis that the lines are the same) : F=5.75 (nl = 2, n2=13), 0.05 > P >0.01 test of hypothesis that hyx is the same: F=2.86 (nl = l, n2=13), P< 0.05 If lines are considered different on basis of probability in first test, then the difference lies in position of lines. All of the other relationships tested showed F ratios with proba- bilities (that the lines were the same) >0.05. The type of T. medius was included in the 18 scatter diagrams tested. This species was separated from T. insignis on the basis of several skull proportions by Broom (see p. 231). Five of these differences were tested by the study of pairs of measures. In no case did the type of T. medius fall either out of the main cloud of points or out of one of the main clouds where there was a suggestion of two. Unless the four dif- ferences that have been noted are considered of specific significance, it must be concluded that T. medius is synonymous with T. insignis. All of the differences involved either orbital width or orbital length. 242 FIELDIANA: GEOLOGY, VOLUME 10 That the sample from the Admiral and that from the Belle Plains differ in proportional features of the orbit is evident. But differences of this magnitude are common, almost to the point of being charac- teristic, between local populations of species of amphibians at the present time; witness, for example, the differences between the samples of Rana pipiens from the northern and southern parts of its geographic range. It seems to be entirely unwarranted to suggest a separation into two species, even though there is a stratigraphic difference, on the basis of the minor differences that have been found to exist. The series of relationships that fall into class 4 of the scatter diagrams pose problems of analysis for which there appears to be no simple statistical solution. Each specimen that departs from the cloud of points must be considered a sample of one, since the rela- tionships between them are not known. In the larger sample, that of T. insignis, with which comparisons are made, there is a change of proportion between the pairs of measures, as x, considered the independent variable, increases in size. At any given value of x, the independent variable y has a variance. This might be used to estimate the probability that the value of y of the single specimen belongs in the distribution. Even this test, which involves somewhat dubious assumptions concerning the independent variable, is not possible, for the larger sample does not have sufficient values of y at any given value or sufficiently small range of x to provide a meaning- ful estimate of population variance. In view of this difficulty, a solution by estimation based on inspection, without estimation of probabilities, has been made. A chart including all measures that could be obtained on specimens in question was compiled as follows: By inspection of the bivariate scatter diagrams, points for the individuals were accepted as belong- ing to or rejected from the cloud of points. If the point lay well outside the cloud, it was rejected. A was entered into the chart for accepted points and R for those rejected. For rejections in which the point lay "above" the cloud of points (i.e., the value of y was disproportionately high for the value of a:) a + was entered, and for those where the point lay "below" the cloud, a — was entered. From these charts, the diagram shown in figure 94 was compiled, including all rejections encountered. Nineteen of 55 pairs studied showed one or more rejections. The rejections occurred for three Arroyo specimens, as follows: AMNH 4568, type of T. mesops; AMNH 4569, type of T. conangulus; and CNHM-UC 688. Vd IS M 01 Ol 'Od - '^OJ 'V < o O (0 1 < (Q n m in z z o o ; «0 «n z z H »- -> D (O CO cc oc - \- (- in <0 — h- Q o Z z tf) < o . oc ■ ll. UJ 2 u UJ f- H < UJ 2 Q. o U UJ - a O < a: z S m .So o P +-> s -i CO rt O 0) T3 o S ^ ago S S S J3 2 o SO 0> • !* .f-1.2. 246 .5 1.5 2.5 35 45 55 6.5 MEASURE NO. 2 i5 4.3 3.5 6.5 7.5 8.5 9.5 10.5 11.5 MEASURE NO. i B 16 14 12 10 F 8 6 4 ^ ^ v// i y// fl ^A M vyy/ i ^ 'M § i 1 ^ 'M ^ ^ .5 1.5 25 35 4.5 3.5 6.5 75 85 RATIO MEASURES N OS. \- 2 Fig. 96. Histogram showing frequency distributions of measures 1 and 2 and ratio of 1:2 for jaw sample from Rendham. 247 248 FIELDIANA: GEOLOGY, VOLUME 10 by development of the processes. The frequency distribution (fig. 96, C) for the ratio of the lateral to the medial process is strongly skewed, with about 65 per cent of the values showing ratios between 1:1 and 1:3. Almost complete absence of the lateral tuberosity occurs in two specimens, producing a ratio of about 1:10. For specimens with a ratio approaching 1:3.5, the lateral tuberosity is not well defined. It is believed that the ratios most clearly depict the difference noted by Cope for the two species. The type of T. bilobatis falls in the modal class of the frequency distribution of ratios, whereas the type of T. insignis is in the 3.00-3.95 class. Neither "species" represents the extreme condition that exists. Clearly, in this frequency distribution of ratios there is no indication of a separation of the specimens studied into two groups. It must be concluded that the variability of the processes, while considerable, is continuous, and that, in spite of strong departures from the norm in the frequency distribution of ratios, there is no basis for recognition of the distinct groups. TABLE 2 Measurements (in mm.) of Posterior Region of Jaws of T rimer orhachis T. insignis, type; T. bilobatis, type and paratype; and sample from Rendham 1, length of internal tuberosity; 2, length of external tuberosity; 5, width of articular facet. Types and Paratypes 12 3 T. insignis, AMNH 4565 (type) 7.0 2.0 T. bilobatis, AMNH 4562 (type) 7.0 3.0 T. bilobatis, AMNH 4558 (paratype) 7.5 5.0 Sample from Rendham 12 3 9.0 2.0 13.0 8.0 1.5 15.0 8.0 5.0 12.0 5.5 6.0 15.0 7.5 5.0 17.0 6.0 3.0 12.0 4.5 2.0 11.0 10.0 0.0 17.0 6.0 3.0 12.0 6.5 1.0 21.0 7.0 3.5 13.0 7.0 1.0 14.0 6.0 4.0 9.5 7.0 3.0 15.0 9.0 6.0 18.0 9.0 2.0 18.0 8.0 3.0 12.0 3.0 0.1 25.0 7.0 1.0 15.0 8.0 4.0 12.0 7.0 4.0 18.0 5.0 0.5 13.0 8.0 5.0 15.0 7.0 4.0 22.0 7.0 1.0 17.5 6.0 1.0 13.0 5.0 0.5 17.0 5.0 3.0 13.0 11.0 5.5 12.0 9.0 3.0 13.0 5.0 3.0 17.0 7.5 5.0 17.0 6.0 6.0 19.0 9.0 5.0 20.0 6.0 1.0 11.0 7.0 2.0 16.0 9.0 4.5 14.0 8.0 3.0 15.0 9.0 5.0 14.0 8.0 4.0 11.0 5.0 4.0 12.0 6.5 3.0 16.0 7.5 3.6 15.0 OLSON: FAUNA OF VALE AND CHOZA 249 The development of keels and the ventral grooves on the jaws is positively associated with the degree of development of the lateral process. Thus the same arguments used in the study apply in the consideration of these characters as a basis for specific differentiation. It appeared possible, during the examination of the specimens, that part of the apparent difference might relate to differences in sizes of the jaws. To test this, it was necessary to select some measure to express the gross size of the jaw. The width of the articular facet correlates rather highly (r=0.8 to 0.9 in samples of N=10 to 20) with jaw length, so this measure was used as an ex- pression of size. Correlations carried out for the measures of each of the processes and width of the articular surface proved not to be significantly different from zero at P=0.1 (see Table 3). The degree of development thus is not dependent upon size. In this table, as well, the correlation of the development of the two processes is shown to be 0.4, low but significantly >0, where P=0.01. From the study of the jaws the following conclusions may be drawn: 1. Each tuberosity on the angle of the lower jaw has a frequency distribution that is unimodal and approaches normality. There is no evidence of a separation into two or more groups. 2. The ratios of the lateral to the medial process are highly varied but form a continuous, skewed distribution. 3. T. insignis and T. hilohatis cannot be distinguished on the basis of the characters used to separate them in the definition of T. hilohatis and, therefore, T. hilohatis, in the absence of any other basis for separation, must be considered synony- mous with T. insignis. Vertebral Characters T. alleni was based on four dorsal vertebrae. It is not possible to be certain precisely what part of the column these four occupied, so that exact comparisons are difficult. Size, undivided neural spines, proportionately smaller pleurocentra, pitted and keeled inter- centra, and anteriorly reflected upper ends of the intercentra, with the presence of concise facets, are the characters noted by Case (1911) as distinguishing these vertebrae from those of all other species. No comprehensive study of the vertebrae of Trimerorhachis has been possible, because of the paucity of complete or even partially o o V A CO CO rH © o o -H -H -H (M (M T}< (M C^ CO a> CO «o 1—1 g. W t- 00 t- »— 1 i— 1 1-H a o o o JS H b -H ■n -H X! OJ "•J" (M S CD CO CO 0) « "H rH i-t .g eg as OS CO •^ ■*