Integration and Homology of “Chignon” and “Hemibun” Morphology
Transcription
Integration and Homology of “Chignon” and “Hemibun” Morphology
Chapter 17 Integration and Homology of “Chignon” and “Hemibun” Morphology Philipp Gunz and Katerina Harvati Abstract The presence of a weak occipital bun in some Upper Paleolithic European fossils is often cited as evidence for admixture between Neanderthals and anatomically modern humans, because the “chignon” morphology is considered by many to be a derived Neanderthal trait. It is impossible, however, to split this morphology into “present” or “absent” character states (and thus “primitive” or “derived”); it rather varies in continuous degrees of expression. Furthermore the shape of the upper scale of the occipital bone is tightly integrated with the shape of the other bones forming the vault. To assess whether the “hemibun” of some Upper Paleolithic European crania should be considered evidence for possible hybridization, it is thus crucial to understand the integration of this morphology and whether this shape feature is homologous between modern humans and Neanderthals. Here we present a geometric morphometric analysis assessing the integration of the posterior midsagittal profile and the temporal bone quantitatively. We digitized 3-D coordinates of anatomical landmarks on the posterior vault and semilandmarks along a midsagittal curve from bregma to inion on 356 modern and archaic human crania. These points were converted into shape coordinates using Procrustes superimposition and then analyzed using the method of singular warps. The occurrence of an occipital bun is highly correlated with a flat parietal midline and an anteriorly positioned temporal bone. While Upper Paleolithic Homo sapiens cannot be distinguished from recent humans, archaic Homo fall outside the range of modern variation. The pattern of integration however, which accounts for ~30% of the total variation, is shared between modern humans and archaic Homo. Our results suggest that the occurrence of P. Gunz (*) Department of Human Evolution, Max Planck Institute for Evolutionary Anthropology, Deutscher Platz 6, D-04103 Leipzig, Germany e-mail: [email protected] K. Harvati Department of Early Prehistory and Quaternary Ecology, Senckenberg Center for Human Evolution and Paleoecology, Eberhard Karls Universität Tübingen, Rümelinstrasse 23, 72070 Tübingen, Germany e-mail: [email protected] “hemibuns” in UPE should not be used as evidence for admixture between modern humans and Neanderthals, as this morphology is a predictable correlate of the relative position of the temporal bone and not an independent trait. Keywords Procrustes analysis • Homo • Hybridization • Singular warps • Partial Least Squares • Homo neanderthalensis Introduction The “chignon” or “occipital bun” morphology, defined as a posterior projection or a great convexity of the upper scale of the occipital bone, is one of the features often cited as evidence for admixture between modern humans and Neanderthals. Because the “chignon” is considered by many to be a derived Neanderthal trait (Hublin 1988; Dean et al. 1998; see also Lieberman 1995) and because some Upper Palaeolithic crania from Europe exhibit a similar, yet less pronounced, morphology (sometimes called a “hemibun”) some authors have argued that this indicates interbreeding between Neanderthals and early modern Europeans (Jelinek 1969; Genet-Varcin 1970; Vlcek 1970; Smith 1982, 1984; Bräuer 1989; Gambier 1997; Churchill and Smith 2000; Wolpoff et al. 2001; Smith et al. 2005). However, since the “chignon” is a morphological continuum, it is difficult to split into “present” or “absent” character states (Trinkaus and LeMay 1982), and therefore to be considered a trait in a cladistic sense. The putative evidence for interbreeding is thus not the presence of a derived Neanderthal discrete trait in Upper Paleolithic modern Europeans; instead, it is the simple assumption that a hybrid of two morphologically distinct populations, one with a distinct “chignon”, the other one with a more globular cranium, would show an average morphology. Using a geometric morphometric analysis of points measured along the midline of the posterior profile, we recently studied the chignon quantitatively and assessed its usefulness in separating Neanderthals from modern humans (Gunz and Harvati 2007; see also Harvati 2001; Harvati et al. 2002; Reddy et al. 2005). In that study we showed that it is not S. Condemi and G.-C. Weniger (eds.), Continuity and Discontinuity in the Peopling of Europe: One Hundred Fifty Years of Neanderthal Study, 193 Vertebrate Paleobiology and Paleoanthropology, DOI 10.1007/978-94-007-0492-3_17, © Springer Science+Business Media B.V. 2011 194 p ossible to metrically separate modern humans and archaic Homo, including Neanderthals, based on the midline shape of the upper scale of the occipital bone alone. It is rather the position and orientation of the occipital bone relative to the parietal and temporal bones, or to put it differently, the overall shape of the posterior half of the neurocranium, that constitutes the unique Neanderthal morphology. Our results concurred with previous work that this condition is the result of an integrated shape change and that differences in the shape of the posterior profile are probably related to differences in the rate of brain growth and timing of suture closure (Trinkaus and LeMay 1982; Lieberman 1995; Lieberman et al. 2000). Our findings, however, differed from those of Lieberman et al. (2000), who observed a correlation between occipital bunning and narrow cranial bases in modern humans, and the inverse relationship in Neanderthals. Lieberman et al. (2000) tentatively concluded that bunning in Neanderthals and Upper Paleolithic Europeans is not homologous, and hence its presence in the latter does not indicate genetic continuity. Contrary to Lieberman et al. (2000), we (Gunz and Harvati 2007) failed to detect differences in integration between modern and archaic humans, and concluded that the “chignon” in Neanderthals and “hemibun” morphology in modern humans were homologous. In this chapter we revisit our previous analysis and elaborate on methodological details that received little attention in the original publication. Furthermore we discuss our method and results in light of the recent work on modularity and integration by Mitteroecker and Bookstein (2007). Aim of This Study Our goal was to reassess the hypothesis that Neanderthals and modern humans exhibit different patterns of cranial integration resulting in non-homologous posterior cranial projection. For this purpose we evaluated the influence of the shape of the posterior midsagittal profile and the cranial base on the expression of occipital bunning in our combined recent and fossil human sample. We quantified how tightly the bones forming the posterior vault are integrated and whether Neanderthals and modern humans follow different trajectories, or form distinct clusters along the same trajectory. We then repeated the analysis looking at the recent human and fossil samples separately. In order to quantify the shape of the posterior vault we used geometric morphometrics based on coordinate data, measured with a 3-D digitizer on both temporal bones and the midsagittal profile. Using homologous points (semilandmarks) along the midsagittal curve enabled us to quantify the continuous variation in the expression of the midsagittal aspect of the “chignon” morphology. We explored P. Gunz and K. Harvati the co-variation of the shape of the posterior vault and the cranial base (as represented by our parietal and temporal bone landmarks and semilandmarks) on the expression of occipital bunning using the method of singular warps (Bookstein et al. 2003). If modern humans and Neanderthals differed in their pattern of cranial integration, and hence did not share homologous occipital buns, as suggested by Lieberman et al. (2000), the two groups would not follow the same predictions of occipital shape based on the shape and relative positions of the parietal and temporal bones. In this chapter we specifically address two questions that were not explored in full detail in our previous study of the same data-set: (1) whether the small sample of fossils biases the results, and (2) whether partitioning the midsagittal curve into two blocks exaggerates the correlation between these two blocks. Because the number of extant modern humans is more than ten times the number of fossil specimens, one could easily imagine situations where the analysis of the pooled sample would impose the modern integrational pattern upon the fossils, even if the modern and fossil patterns were distinct. To check whether the excess of modern specimens would bias the results, we performed a separate analysis of all fossil specimens. The second concern is slightly more technical: The midsagittal profile is a single curve, not two independent curves. Partioning it into two parts at an arbitrary point to look for covariation (as we did in Gunz and Harvati 2007), will naturally yield high correlations between these two blocks. Furthermore the semilandmarks along the posterior profile were allowed to slide along the curve so as to minimize the thin-plate spline bending energy before partitioning into blocks. Because these semilandmarks slide along the same curve, this sliding step potentially exaggerates correlations among them. In the present study we have tried to avoid those potential pitfalls by treating the midsagittal profile as one curve, thereby reducing the analysis from a three-block to a two-block design. Materials and Methods Samples This study included a large comparative sample of recent humans (n = 326) and Middle and Late Pleistocene fossil specimens (Table 17.1). Recent humans were represented by ten regional groups from a wide geographical range, including an Iberomaurusian series from Afalou and Taforalt (North Africa), dated to 14–8.5 ka (Chamla 1978). Only adult crania with fully erupted permanent dentition were measured. Most 17 Integration of the Neanderthal “Chignon” 195 Table 17.1 Sample of recent humans and fossil specimens used in this analysis Fossil humans (n = 29) Middle-Late Pleistocene African and near Eastern fossil humans (MLA) Kabwe Ndutu Ngaloba Omo 2 Qafzeh 9 Skhul 5 Singa (n = 7) Middle Pleistocene European Pre-Neanderthals (MPE) Reilingen Sima de los Huesos 5* (n = 2) ‘Classic’ and Early Neanderthals (NE) Amud 1 Guattari 1 La Chapelle-aux-Saints La Ferrassie 1 La Quina 5 Saccopastore 1 Shanidar 1* Spy 1 and Spy 10 Tabun (n = 10) Eurasian Upper Paleolithic specimens (UP) Abri Pataud Chancelade* Cioclovina Cro Magnon 1,2 Ein Gev Mladeč 1 and 5 Předmostí 3* and 4* (n = 10) Recent humans (n = 326) 1. African (n = 36) (Mali, Kenya) 2. Andaman (n = 30) (Andaman Islands) 3. Asian (n = 38) (North China, Thailand) 4. Australian (n = 32) (South Australia) 5. Inuit (n = 42) (Alaska, Greenland) 6. European (n = 45) (Austria, Greece, Italy, Germany, Yugoslavia) (n = 28) 7. Khoi-San (South Africa) (n = 30) 8. Melanesian (New Britain) (n = 19) 9. Middle Eastern (Syria) (n = 26) 10.Iberomaurusian (Afalou, Taforalt) * Asterisks indicate specimens for which casts or stereolithographs were used Table 17.2 Landmarks collected on the temporal, parietal and occipital bones Temporal block (L + R) Number of landmarks: 18 Porion Auriculare Mastoidiale Stylomastoid Foramen Most postero-lateral point of the jugular fossa Lateral origin of the petro-tympanic crest Most medial point of the petro-tympanic crest at the level of the carotid canal Most inferior point on the juxtamastoid crest (following Hublin 1978) Deepest point of the lateral margin of the articular eminence (root of the articular eminence) Midsagittal Block Number of landmarks and semilandmarks: 37 Bregma 20 semilandmarks between Bregma and Lambda Lambda 14 semilandmarks between Lambda and Inion Inion See also Fig. 17.1 crania were only sexed based on anthropological criteria, so the sexes were pooled in the analysis. The fossil sample comprised ten Neanderthal specimens from Europe and the Near East; two European Middle Pleistocene specimens; seven Middle-Late Pleistocene fossils from Africa and the Near East; and ten Upper Paleolithic anatomically modern humans from Europe and the Near East (Table 17.2). In the few cases where the original specimens were not available, high quality casts or stereolithographs from the Anthropology Depart ments of the American Museum of Natural History and of New York University were measured. Data 3-D coordinates of anatomical landmarks on the temporal, parietal and occipital bones as well as semilandmarks along the midsagittal from bregma to inion were collected by KH using a Microscribe 3DX digitizer. Each cranium was measured in a ‘top’ and ‘bottom’ orientation, which were later superimposed using four fiducial points, which were not used in the analysis. The midsagittal profile was digitized as closely spaced points along the curve. These points were then automatically resampled to yield equal point count on every specimen: we computed a cubic spline through the points measured 196 P. Gunz and K. Harvati Fig. 17.1 Landmarks and semilandmarks used in this analysis. For the singular warps analysis the set of landmarks and semilandmarks was partitioned into two blocks: (1) the midsagittal profile from bregma to lambda to inion, (2) the landmarks on the temporal bones (both sides) on the midsagittal curve and then placed 20 equidistantly spaced points between bregma and lambda, and 14 between lambda and inion. Since morphometric analyses do not accommodate missing data, some data reconstruction was necessary for the incomplete fossils. During data collection, and only for specimens with minimal damage, landmarks were reconstructed using anatomical information from the preserved surrounding areas. In cases where bilateral landmarks were missing on one side only, they were estimated by reflected relabeling (Mardia and Bookstein 2000; see Gunz 2005; Gunz et al. 2009 regarding application to missing data). Incomplete specimens were least-squares superimposed with their reflected configurations in Procrustes space and missing data were reconstructed from their homologous counterparts on the other side. Landmarks on those specimens that had only one side of temporal bone preserved, or were one side was affected by distortion were reflected by mirroring across the empirical midplane (Reilingen, Předmostí 4, Kabwe, Omo2, LH18, Cro Magnon2, Spy10, Singa). In limited instances (specimens Cro Magnon2, Ndutu, Omo2, Mladeč1, Saccopastore1), points missing on both sides of the cranium or on the midsagittal plane were estimated by minimizing the bending energy of the thin-plate spline between the incomplete specimen and the sample Procrustes average, following (Gunz 2005; Gunz et al. 2009). The semilandmarks were iteratively allowed to slide along the midsagittal curve to minimize the bending energy of the thin-plate spline interpolation function computed between each specimen and the sample Procrustes average. We used the algorithm of Bookstein (1997; see also Gunz et al. 2005, 2009), which allows points to slide along tangents to the curve. These tangents were approximated for each semilandmark by converting the vector between the two neighboring points to unit length. Missing points were allowed to slide without constraining them to a curve (“full relaxation”). Splinerelaxation removes the effects of “digitizing error” in the tangent direction that results from the practical necessity of having to place the semilandmarks somewhere along the curve. After relaxation these semilandmarks can be treated in multivariate analyses as if they had been homologous points in the first place (Bookstein 1997; Bookstein et al. 1999; Gunz et al. 2005). Landmarks and slid semilandmarks were converted to shape coordinates by Procrustes superimposition (GPA: Gower 1975; Rohlf and Slice 1990). This procedure removes information about location and orientation from the raw coordinates and standardizes each specimen to unit centroid size, a size-measure computed as the square root of the summed squared Euclidean distances from each landmark to the specimen’s centroid (Dryden and Mardia 1998). Unlike in Gunz and Harvati (2007) the landmark and semilandmark data were partitioned into two blocks rather than three: temporal and midsagittal (Table 17.2, Fig. 17.1). The “midsagittal-block” included the landmarks and semilandmarks defining the posterior midline cranial profile from bregma to lambda to inion. The “temporal bone block” included landmarks on the basicranial portion of both right and left temporal bones (see Table 17.2). The temporal landmarks were measured on both sides in order to include information about the width of the cranial base. Analyses We studied the morphological integration of the cranial base and the posterior midline profile using the method of “singular warps” introduced by Bookstein et al. (2003) that 197 17 Integration of the Neanderthal “Chignon” quantifies and visualizes the covariation of anatomical regions. Blocks of landmarks were defined a priori; then the linear combinations of the original shape variables that provide the best mutual cross-prediction between these landmark-blocks were calculated. Usually a singular warps analysis with two blocks is calculated via a singular value decomposition of the cross-block covariance matrix (Bookstein et al. 2003). Here we used a more flexible algorithm suggested by Mitteroecker and Bookstein (2007), based on a “Wright-style” factor analysis (Wright 1932). The results are identical to the SVD approach, when the singular vectors are scaled appropriately. We will return to this numerical identity between these two approaches in the discussion section. Mitteroecker and Bookstein (2007) demonstrate that the singular vectors have to be scaled before joint visualisation. This scaling was performed in the analysis of Gunz and Harvati (2007) but not described in the paper. Higher singular warps were calculated using the same algorithm after projecting out the lower singular vectors for each block separately. Singular warps are linear combinations of the original shape variables and can be visualized either as scores, or as deformations. We scaled the singular vectors following Mitteroecker and Bookstein (2007) and visualized the deformations of the temporal and midsagittal block together. To create the surface-morphs the landmarks and semilandmarks of one modern human specimen were used to warp the triangulated surface from the mean configuration in Procrustes space to this mean shape with different multiples of the singular vectors added. Note that the surface areas where there is no (semi)landmark information are just smoothly warped according to the thin-plate spline interpolation. For data processing and analyses we used software routines written in Mathematica (© Wolfram Research) and “R” by PG together with Philipp Mitteroecker (University of Vienna). Results Singular Warps: Pooled Sample The scores of the first singular warp (which explains ~30% of the total variation) are plotted in Fig. 17.2 (scores for midsagittal and temporal blocks together as well as separately for each group); the associated shape changes are visualized in Fig. 17.3. The integration of the midsagittal profile and the position and shape of the temporal bones is very tight (the correlation coefficient of the midsagittal and temporal scores r > 0.89); the points lie along a single trajectory. The fossil specimens do not diverge from this common pattern of integration. Looking at the scores for each block and “population” separately shows that the variation along these axes within each group is considerable. Neanderthals and the other fossil human groups have on average higher scores than the modern mean, but almost all modern groups have specimens that fall well within the Neanderthal range of variation. Figure 17.3 visualizes the shape change associated with the first singular warp as a surface-morph. The singular vectors are scaled following Mitteroecker and Bookstein (2007) so that they can be visualized jointly. An anteriorly and superiorly placed cranial base predicts (and is predicted by) a flat parietal and a posterior projection of the occipital. Along the first singular warp, there are only subtle shape changes of the temporal bone; it is the relative position of the cranial base that changes. The higher singular warps were calculated after projecting out the lower singular vectors for every block separately. The plots are not shown here, as the associated shape changes do not involve occipital bunning. Because the sample comprises so many more modern humans than fossil specimens, we checked carefully whether this shared trajectory could be an artifact due to the unequal sample sizes. There exists another potential pitfall with pooled samples: if populations had different means, then even if there were different patterns of integration among populations, looking at integration based on the uncentered pooled covariance matrix would create the impression of a common trajectory. To avoid this, we subtracted the respective group mean from each specimen before computing the covariance matrix for the singular warps. Singular Warps: Fossil Sample Figure 17.4 shows the scores of the first and second singular warp of the fossil sample. In essence the results stay the same as those for the pooled analysis; in the fossil sample the shape-changes described above for the pooled analysis are captured by the first two singular warps: the first singular warp is driven by the correlation of a flat parietal midline with a relatively wide cranial base (r ~ 0.82); the second singular warp entails posterior projection of the occipital midline, an anteriorly and superiorly positioned temporal bone and a relatively anterior placement of bregma (correlation r > 0.62). The scores of the first singular warp (upper left panel) show two clusters along the midsagittal scores. Only the second singular warp is associated with occipital bunning, and the corresponding scores (upper right panel) show no differences between anatomically modern humans and archaic Homo in these dimensions. 198 P. Gunz and K. Harvati Fig. 17.2 Pooled sample; scores of the first singular warp of midsagittal and temporal block plotted against each other. These plots show how well one can predict the shape of one block from the other block. NE and MPE crania have higher scores than most modern humans for all blocks, but the integrational pattern is the same between groups. The scores are plotted for each group separately to demonstrate the considerable variability within geographic groups. The numbers correspond to the order of modern human populations in Table 17.1 Shape Regression width of the cranial base as the length of the vector between left and right porion of the original coordinates before superimposition, then calculated the multivariate regression of all Procrustes shape coordinates on this width. When visualized by adding the regression slopes to a mean shape (Fig. 17.5), an absolute increase in cranial base width in recent humans predicts a projection of the occipital bone and a slightly flatter parietal. In the same way we predicted all shape variables Because Lieberman et al. (2000) found occipital bunning in recent humans to be correlated with narrow cranial bases, we also looked at shape predictions for modern humans with absolutely narrower cranial bases (in contrast to the relative shape differences in Procrustes space discussed above). For all extant Homo sapiens crania we computed the absolute 17 Integration of the Neanderthal “Chignon” 199 Fig. 17.3 Pooled sample; first singular warp. The shape dimensions associated with the scores shown in Fig. 17.2 can be visualized together. Here a modern human cranium’s surface is deformed by subtracting (left) and adding (right) a multiple of the singular vectors to the mean shape (middle). The first singular warp contrasts a globular cranium with a more elliptical shape. Note that as occipital bunning increases, the cranial width does not change at all; the temporal bones get more superiorly and anteriorly placed and the mastoid decreases in size by the logarithm of centroid size, as a crude proxy for endocranial volume. An increase in absolute size predicts a slightly more globular shape of the posterior vault and an occipital protuberance, but no occipital bun. There exists considerable shape variability within groups of modern humans, but the pattern of integration is shared among modern human populations, fossil modern human specimens and archaic Homo. While Neanderthals and archaic Homo consistently had higher scores than most modern humans, they followed the same linear trend when the two blocks were viewed together. Neanderthals thus have the amount of occipital bunning that one would predict for a human with such a supero-anteriorly positioned temporal bone and such a flat parietal. This is particularly apparent in the modern humans that have scores similar to archaic humans. The Upper Paleolithic specimens all plot within the modern human cloud. Note that – with the exception of the Andamenese (population #2) – every modern human group has outliers that fall within the Neanderthal variation along the midsagittal scores of the first singular warp (Fig. 17.2). This includes crania from Africa, Asia and the Middle East, hence no uniquely European pattern can be discerned. Changing the singular warp analysis from the three-block design of Gunz and Harvati (2007) to a two-block design had no impact on the results. Analyzing the fossil specimens separately confirmed the conclusions of our original publication that the fossils and extant specimens follow the same shape prediction between the relative position of the temporal bones and the occipital profile. A posterior projection of the occipital bone is associated with a relatively anterior and superior position of the temporal bone. We would like to stress however, that this conclusion only pertains to the external aspects Discussion The results of our singular warps analysis confirm our previous findings (Gunz and Harvati 2007), indicating that occipital bunning in modern humans and Neanderthals alike is associated with anteriorly and superiorly placed temporal bones/cranial bases (Figs. 17.3 and 17.4). The shape of the posterior midline profile and the relative position of the cranial base are tightly integrated; the scores of the two landmark blocks are highly correlated and fall along a common trajectory in those dimensions related to occipital bunning. These high correlations are unlikely to be caused by direct individual interactions of the bones; instead they are most likely spurious correlations because all bones are affected by a single factor, brain expansion, during ontogeny. Mitteroecker (2007) and Mitteroecker and Bookstein (2007) show that the results of a two-block partial least squares analysis and Wrigth (1932) factor analysis are identical (when scaled appropriately). Thus the results of the present analysis can be interpreted as loadings of the two landmark modules on a common factor. Fig. 17.4 Fossil sample; first and second singular warp. Left: Scores of the first singular warp computed from the fossil specimens only. There are two clusters along the midsagittal scores along a general trend. The bottom panel shows the associated shape change as vectors: increased width of the cranial base co-varies with a flat parietal profile. Note that there is almost no shape change in the occipital profile. Right: One common trajectory with complete overlap of modern and archaic humans. An projecting occipital bun is predicted by an anterior and superior placement of the cranial base. Figure 17.4b visualizes the same shape difference as a surface morph 201 17 Integration of the Neanderthal “Chignon” Fig. 17.5 Shape predictions for a wide cranial base in modern humans. Overall shape was regressed on the absolute length of the vector between left and right porion. An absolutely wider cranial base predicts a posterior projection of the midsagittal profile in extant modern humans. The regression slopes are visualized as vectors (left) from the mean shape towards an increase in cranial base width. Mean shape (middle) and positive extreme shape (right) are also shown as a surface morph of the occipital bun in the midsagittal plane, as there were no endocranial landmarks used in this study. stages by grants to KH by the American Museum of Natural History; NYCEP; the Onassis and the CARE Foundations; and the U.S. National Science Foundation. Support was also provided by New York University, the Max Planck Institute for Evolutionary Anthropology and the “EVAN” Marie Curie Research Training Network MRTN-CT-019564. This is NYCEP morphometrics contribution number 34. Conclusions We could not detect differences in integration between modern and fossil humans with respect to the external aspects of midsagittal posterior projection and relative width and position of the temporal bones. We thus consider the midsagittal aspect of the “chignon” morphology in Neanderthals to be homologous to bunning morphology in modern humans. The occurance of “hemibuns” in Upper Paleolithic modern Europeans should not be used as evidence for admixture between modern humans and Neanderthals, as this morphology is a predictable correlate of the relative position of the cranial base and not an independent trait. Acknowledgments We thank all the curators and collections managers in several institutions across Europe, Africa and the USA, for kindly allowing access to both fossil and extant material used in this study. We thank Maximilian v. Harling for the CT scan used to create surface morphs, and Silvana Condemi for her efforts putting together this volume. We are also grateful to Jean-Jacques Hublin, Tim Weaver, Fred Bookstein, Philipp Mitteröcker, Markus Bastir, Susan Antón, Dan Lieberman and two anonymous reviewers for providing very helpful comments and suggestions. This research was funded in its various References Bookstein, F. L. (1997). Landmark methods for forms without landmarks: Morphometrics of group differences in outline shape. Medical Image Analysis, 1(3), 225–243. Bookstein, F. L., Schaefer, K., Prossinger, H., Seidler, H., Fiedler, M., Stringer, C. B., Weber, G. W., Arsuaga, J. L., Slice, D., Rohlf, F. J., et al. (1999). 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