Journal of Archaeological Science 40 (2013) 1508e1517 Contents lists available at SciVerse ScienceDirect Journal of Archaeological Science journal homepage: http://www.elsevier.com/locate/jas A 3D morphometric analysis of surface geometry in Levallois cores: patterns of stability and variability across regions and their implications Stephen J. Lycett*, Noreen von Cramon-Taubadel Department of Anthropology, University of Kent, Canterbury, Kent CT2 7NR, United Kingdom a r t i c l e i n f o a b s t r a c t Article history: Received 17 September 2012 Received in revised form 5 November 2012 Accepted 6 November 2012 Levallois cores and products were manufactured by hominin populations distributed across wide regions of Africa and Eurasia. Levallois technology remains an important focus for research in Palaeolithic archaeology, yet quantitative morphological comparisons of Levallois core morphology from different regions remain rare. Here, utilizing Levallois cores from Africa, the Near East, Europe, and the Indian subcontinent, patterns of morphological variability in the shape of the Levallois flaking surface and core outline (margin) shape were examined for patterns of variability and stability across regions using 3D geometric morphometrics. The multivariate statistical shape analyses undertaken revealed a clear pattern: that is, the greatest levels of shape variability in Levallois cores is evident in the form of their outline (planform) shape. Conversely, the geometrical relationship between the margin of the Levallois cores and their topological surface morphology was relatively uniform. This pattern of variability was evident in terms of variation both across regions and between cores from the same locality. These results indicate that the outline form of such cores was a less important variable than the geometric/topological properties of the surface morphology and, in particular, the relationship between the margin of the core and those variables. These results have implications for why it has been reported that replicating such cores in modern experiments is a particularly difficult task. The specific interrelationship between the geometric properties of the core and the core margin provide further evidence that Levallois core technology would be unlikely to emerge from the context of opportunistic migrating platform reduction strategies (such as those seen in many Mode 1 industries). If, as is widely suggested, Levallois cores were deliberate products in Pleistocene contexts, these results also hint that relatively sophisticated means of social transmission (i.e. teaching) may have been required to sustain their production over time and space. Ó 2012 Elsevier Ltd. All rights reserved. Keywords: Levallois Geometric morphometric analysis Core variation 1. Introduction The study of stone artefacts represents e whether we like it or not e our primary opportunity to study the behaviour of extinct hominins (Isaac, 1986; Gowlett, 2010; Shea, 2010). Oldowan artefacts, as the oldest currently known examples of stone technology, understandably continue to form an important focus of study in this regard (e.g., Semaw, 2006; Braun et al., 2009; Toth and Schick, 2009; Wynn et al., 2011). Likewise, the handaxe and cleaver artefacts of the so-called ‘Acheulean’ also continue to inspire new research efforts designed to extract insights into the cognitive and cultural capacities of extinct hominins, as they have done for many decades (e.g., Archer and Braun, 2010; Yravedra et al., 2010; Faisal * Corresponding author. E-mail address: [email protected] (S.J. Lycett). 0305-4403/$ e see front matter Ó 2012 Elsevier Ltd. All rights reserved. http://dx.doi.org/10.1016/j.jas.2012.11.005 et al., 2010; Wang et al., 2012). Outside of the Lower Palaeolithic, however, specific cores and flakes from the Middle Stone Age and Middle Palaeolithic referred to collectively as ‘Levallois’, have also formed an important focus of debate among palaeoanthropologists for over a century (e.g., Commont, 1909; Smith, 1911; Bordes, 1950, 1980; Kelley, 1954; Hayden, 1993; Mellars, 1996). Artefacts classified by archaeologists as ‘Levallois’ were made over wide areas of the Old World including Africa, Europe and large parts of Asia (see e.g., Dibble and Bar-Yosef, 1995 and chapters therein). Although several different hominin taxa were probably responsible for their manufacture (Hublin, 2009; Eren and Lycett, 2012), a particular association with Neanderthals (Homo neanderthalensis) perhaps explains something of their enduring involvement in prominent debates. Indeed, Levallois artefacts are frequently suggested to mark a particular watershed in lithic technologies, and argued to provide important insights into the cognitive and social capacities of their makers (e.g., Gamble, 1999; S.J. Lycett, N. von Cramon-Taubadel / Journal of Archaeological Science 40 (2013) 1508e1517 Pelegrin, 2005; Wynn and Coolidge, 2010). If anything, and somewhat like the Acheulean (Gowlett, 2011), interest in Levallois technologies may have seen something of a resurgence in recent years. For instance, Levallois artefacts and reduction strategies have been embroiled in recent debates concerning behavioural and social evolution (e.g., Gamble, 1999; Tryon et al., 2006; Hovers, 2009; Wilkins et al., 2010; Moncel et al., 2011; Scott, 2011), skill learning (Eren et al., 2011a), technological convergence (Lycett, 2009; Sharon, 2009), predetermination, planning and cognition (Wynn and Coolidge, 2004, 2010; Pelegrin, 2005; Eren and Lycett, 2012) as well as issues of raw material variation and economies of reduction (Brantingham and Kuhn, 2001; Sandgathe, 2005; Brantingham, 2010; Eren et al., 2011b). Although many of these topics are continuations of themes that have long held the attention of archaeologists, this recent work evinces the continued interest in Levallois. Despite the long-term and widespread interest in Levallois, however, quantitative examinations of core forms from across wide geographic areas are surprisingly rare. In a now classic study of Levallois cores and flakes, Van Peer (1992) undertook quantitative analyses of Levallois cores, but his analyses were limited to artefacts from the Egyptian Nile Valley. In an earlier study, Van Peer (1991) had also compared Levallois flakes from a wider area of North Africa, but cores were not included in these analyses. Examples of morphometric analyses of Levallois cores that do exist, tend to include a variety of different core forms, where the main purpose of the analyses is not strictly to examine Levallois technology specifically (e.g., Clarkson, 2010; Haslam et al., 2010). This lack of dedicated cross-regional comparisons of Levallois core form is perhaps all the more conspicuous given that there has, over recent years, been an increased tendency (following Boëda, 1988, 1995) by many workers to conceive of Levallois cores as conforming to a specific geometric or ‘volumetric’ arrangement (e.g., Van Peer, 1992; Schlanger, 1996; Brantingham and Kuhn, 2001; Wynn and Coolidge, 2004, 2010; Pelegrin, 2005; Wilkins et al., 2010), suggesting that patterns of shape similarity and dissimilarity across regions might provide novel insights. Moreover, considering the behavioural and cognitive debates that surround Levallois, this situation is also surprising given that several cross-regional comparisons of Acheulean handaxe forms have been undertaken, where behavioural, cultural, and cognitive factors are also prominent elements in the issues surrounding such artefacts (e.g., Wynn and Tierson, 1990; Vaughan, 2001; Norton et al., 2006; Lycett and Gowlett, 2008; Petraglia and Shipton, 2009; Wang et al., 2012). A primary aim of the study presented here, therefore, was to examine patterns of shape variability and stability in Levallois cores from different regions. 2. Examining patterns of Levallois core shape variability and stability across regions via geometric morphometrics The form and shape of cores holds a prominent place in discussions of Levallois (e.g., Van Peer, 1992; Boëda, 1995; Schlanger, 1996; Pelegrin, 2005). On the basis of mathematical modelling, Brantingham and Kuhn (2001) argued that the shape and organisation of Levallois cores represents a particularly effective reduction strategy in terms of raw material economy and cutting edge productivity, which, they argue, would explain the widespread adoption of ‘Levallois’ style cores across a broad geographic range by different hominin populations. Complementary to this, Eren and Lycett (2012) recently used size-adjusted morphometric data to determine whether the surface of experimentally replicated classic ‘lineal’ Levallois cores resulted in the production of flakes (i.e. ‘Levallois’ flakes) which were statistically distinguishable from other flakes from the same core, even when 1509 size-adjusted. Moreover, a specific aim of their analyses was to determine if the properties that statistically distinguished the putative ‘Levallois’ flakes from others (if any) could logically be tied to current knowledge regarding the functional utility of flake form. In other words, their analyses asked whether the flakes struck from classically shaped Levallois cores were not only statistically distinguishable from other flakes, but distinguishable specifically in such a way that might, on functional grounds, have made them logically ‘preferable’ to the makers of Levallois cores, as is so often suggested. These experiments determined that so-called ‘Levallois flakes’ struck from ‘classic’ or ‘lineal’ style Levallois cores were indeed statistically distinguishable from other flakes, and could be classified as a consistent and coherent group in statistically robust terms. The properties most responsible for this statistical pattern were the possession of a moderate thickness that is evenly distributed across a broad cross-section of the flake, and also, on average, a greater degree of overall symmetry. Importantly, such properties represent functionally desirable features in flake tools, such as greater capacity for retouch, robustness of working edge, and an evenness of weight distribution during use (Eren and Lycett, 2012). If, as Eren and Lycett (2012) suggest, the geometrical surface properties of Levallois cores resulted in the removal of flakes that possessed a relative evenness of thickness across their surface areas, then, it can be predicted that the removal of such regulated flakes from the surface of Levallois cores should have resulted in a restricted geometric/topographical (i.e. shape) relationship between the extremities of the core’s outline (core margin) and the resultant flake scar. Indeed, it would be reasonable to predict that if Levallois cores were indeed intended to remove flakes with specific relative thickness properties, then Levallois cores should show a relatively restricted range of variation in the geometrical properties of their surface morphologies. That is, there should be less variation in the shape properties of their surface morphologies than overall outline (i.e. planform) shape, which would have been a subservient variable to the topological/geometrical properties of the core surface under these conditions. In other words, from a knapper’s viewpoint, the outline shape of the core (planform) would have been of far less importance than the topology of the primary Levallois flaking surface. One specific purpose of the present study, therefore, is to assess the relative levels of shape variation in the surfaces of archaeological samples of Levallois cores, against their overall planform variation. Geometric morphometrics offers a particularly appropriate framework to examine such relative levels of shape variation in Levallois cores. Far more than just ‘scanning’ (which in-and-ofitself is, like photography, merely an image capturing technique, not an automatic method of analysis) geometric morphometrics is a set of statistical methods for studying the relative shape and size of collections of objects in an explicit mathematical framework, the properties of which are now well understood (Dryden and Mardia, 1998; O’Higgins, 2000; Slice, 2007). Unlike size, which is essentially a univariate property of an object and can adequately be described by a single unit such as mass or volume, shape is inherently a multivariate phenomenon. Geometric morphometric (GM) techniques utilize analyses of landmark configurations, and facilitate comparative studies of shape due to their mathematical ability to separate out the properties of shape and size while still preserving the geometrical properties of each original object (O’Higgins, 2000). ‘Shape’ in this analytical context is defined explicitly as the geometric properties of a specimen excluding the effects of isometric scale (or ‘size’), which will be expressed in terms of a series of quantitative variables (Slice, 2007). Such techniques thus provide an important means of quantifying aspects of shape variation, and enable visualization of these shape differences in 1510 S.J. Lycett, N. von Cramon-Taubadel / Journal of Archaeological Science 40 (2013) 1508e1517 a framework that is independent of differences in size between objects. The quantified shape data produced are then amenable to multivariate statistical techniques of analysis. Moreover, examples of GM studies in physical anthropology have demonstrated that landmark-based methods are a highly flexible approach to morphometric analysis, and can facilitate the analysis of specific localized regions or discrete parts of objects such as individual cranial bones (e.g. Lockwood et al., 2002; von Cramon-Taubadel, 2009). Although geometric morphometric methods began to be applied to the study of stone artefacts only a few years ago, the use of such methods has already started to appear in analyses of lithic material from a wide range of geographical and chronological contexts (e.g., Lycett et al., 2006, 2010; Archer and Braun, 2010; Buchanan and Collard, 2010a, 2010b; Cardillo, 2010; Costa, 2010; , 2010, 2011; Monnier and McNulty, 2010; Shott and Trail, Ioviţa 2010; Thulman, 2012; Wang et al., 2012). (Bookstein, 1991; Dryden and Mardia, 1998). Landmarks may be defined simply as “a point of correspondence on an object that matches between and within populations” (Dryden and Mardia, 1998: 3). In the present study, 51 geometrically defined 3D coordinates (or ‘semilandmarks’) were recorded on each Levallois core using a Crossbeam Co-ordinate Caliper (Lycett et al., 2006). Semilandmarks are conceptually homologous in terms of being geometrically correspondent across different shapes in a given analysis (O’Higgins, 2000; MacLeod, 2001). The full landmark configuration of x-, y-, z-co-ordinates used in the analyses is shown in Fig. 1. It is important to note that given the aims of the present study, the landmark configuration employed specifically captures the shape of the core’s margin (planform) as well as the 3D topology of the flake removal surface. Further details regarding the semilandmarking protocol, orientation of artefacts, and definitions of all landmarks can be found in Lycett et al. (2006) and Lycett (2007a). 3. Materials and methods 3.2.2. Geometric morphometric analyses In their raw form, configurations of landmark co-ordinates merely represent the overall form (i.e. size þ shape) of objects, and thus conflate information concerning shape with that of size. In order to scale all co-ordinate data to the same unit, landmark configurations were subjected to generalized Procrustes analysis (GPA) using the freely available morphometrics software Morphologika version 2.5 (O’Higgins and Jones, 2006). GPA proceeds by removing variation between landmark configurations due to isometric scale (i.e. ‘size’) by reducing all configurations to unit centroid size, which is defined as the square root of the summed squared Euclidean distances from each landmark to the centroid of the configuration (Niewoehner, 2005). Following this step, GPA then implements least-squares criteria to minimize residual differences between configurations due to translation and rotation (Gower, 1975; Chapman, 1990). Thereafter, remaining patterns of variation between homologous landmark positions (or what are 3.1. Materials Examples of Levallois cores from Africa, Europe, the Near East, and the Indian subcontinent from a total of nine different localities were examined in the analyses (Table 1). Here, Levallois cores were identified on the basis of adherence to Boëda’s (1994, 1995) volumetric definition of Levallois core morphology, and several other features widely recognised (e.g. Van Peer, 1992: 10; Pelegrin, 2005) to characterise cores typically classified as ‘Levallois’. That is, the cores were all essentially bifacial in form and possessed a plane of intersection produced between the two faces at the margin of each core. Each core also possessed a disproportionately large negative flake scar, or scars, on their superior surface (50% of total surface area) when compared on a relative basis to other negative flake scars on the same surface. In accordance with Boëda (1995), the axis of this flake removal was broadly parallel to the plane of intersection. Moreover, cores exhibited some remnant of the distal and lateral convexity possessed by the core prior to the removal of the final flake, such that the removal of this final flake visibly truncated earlier flake removals on the same surface (Van Peer, 1992: 10). In focusing on ‘classic’ preferential (lineal) Levallois cores, we accept that we may not be examining all of the variability that could potentially be included under the term ‘Levallois’. An important future extension of the study we report here may, therefore, be to determine if other forms of Levallois exhibit similar patterns in their variability. 3.2. Methods 3.2.1. Landmark configuration The basis of geometric morphometrics is the identification and quantification of data in the form of a configuration of landmarks (i.e. in 3D, a series of x-, y-, z-co-ordinates defining n landmarks) Table 1 Levallois cores used in the analyses (total n ¼ 152). Locality n Raw material Baker’s Hole, Kent, UK Bezez Cave (Level B), Adlun, Lebanon El Arabah, Abydos, Egypt El Wad (Level F), Israel Fitz James, Oise, France Kamagambo, Kenya Kharga Oasis (KO6e), Egypt Muguruk, Kenya Soan Valley, Pakistan 23 28 16 27 11 13 11 12 11 Chert Chert Chert Chert Chert Quartzite, chert Chert Lava Quartzite Fig. 1. The configuration of 51 landmarks used in the 3D geometric morphometric analyses. S.J. Lycett, N. von Cramon-Taubadel / Journal of Archaeological Science 40 (2013) 1508e1517 termed ‘Procrustes residuals’) can be interpreted as shape differences between the objects, as represented by the landmark configurations in each case. Following GPA, Procrustes residuals were projected into a linear shape space tangent to the non-Euclidean shape space and subjected to principal components analysis, again using Morphologika. Principal component analysis (PCA) enables the major shape variation between individual Levallois cores to be examined in a hierarchical fashion, whereby the first PC describes the major axis of shape variation (size having already been controlled for), the second PC describes the second major axis of variation, with each succeeding PC describing sequentially less of the overall variation between objects in this fashion. In other words, the first principal component (PC1) will identify which aspects of shape variation are primarily responsible for the variations in shape across all Levallois cores in the analysis. A particular aim of the current analyses was to determine if levels of topological shape variation in the surfaces of Levallois cores are relatively restricted compared to variation in planform variability of core outline shape (see above). If this prediction is to be supported, PC1 should exhibit the greatest variation in terms of outline form rather than in terms of the 3D topological variation of the Levallois surface. In order to determine the character of major variations of shape in the Levallois cores, as identified by the principal components analysis, two different but complementary and intuitive visual methods were employed. The first method involved the use of ‘wireframes’, which link together the individual landmarks of a configuration, thus enabling a visual representation of the major shape variations along the axis of an individual PC (O’Higgins and Jones, 1998). The wireframes represent hypothetical specimens at the extreme range of a PC according to the shape data that characterise variation along that particular component. An alternative means of graphically representing the major shape differences along each PC is to combine the wireframe diagrams with deformation grids based on the thin plate spline (tps) interpolation function (Bookstein, 1989). Simply, these are Cartesian coordinate grids that visually represent the shape changes associated with hypothetical specimens placed at the extremities of PCs. The grids are ‘deformed’ versions of the average of all specimens whose data is represented at the centroid (0.00) of all PCs. In essence, tps deformation grids approximate (in this case in 3D) the visual means of representing shape changes via alteration (transformation) of Cartesian co-ordinate grids, as classically described by D’Arcy Thompson (1917; see also Clarke, 1968: 528e529). Wireframe diagrams and tps deformation grids were produced using Morphologika version 2.5. 4. Results The results of the principle components analysis demonstrate that the first three PCs account for 29.91%, 17.9%, and 10% of the variation in Levallois core shape respectively (Table 2). Cumulatively, PCs 1e3 account for over 57.8% of the total variation in shape differences between Levallois cores; all remaining PCs each account for less than 10% of overall variation (Table 2). Fig. 2 plots the first two PCs from the principal components analysis. The wireframe diagrams indicate the shape changes associated with each PC. The wireframe diagrams (Fig. 2) indicate that the shape changes associated with PC1 are most strongly accounted for by differences in the outline forms of cores rather than in terms of topological variation in the surface morphology of cores. The wireframes associated with PC2 also indicate that variation along that PC is dominated by differences in the outline shape of cores. It is also evident from the distribution of cores from individual localities within the PC1ePC2 shapeespace plot (Fig. 2), that variability in 1511 Table 2 Results of principal components analysis for first 16 PCs (>95% total variance explained). PC PC PC PC PC PC PC PC PC PC PC PC PC PC PC PC 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Eigen value Percentage variance explained Cumulative variance explained 0.007612 0.004554 0.002546 0.001963 0.001540 0.001341 0.000873 0.000749 0.000651 0.000510 0.000444 0.000378 0.000350 0.000327 0.000196 0.000156 29.91 17.90 10.00 7.72 6.05 5.27 3.43 2.94 2.56 2.01 1.75 1.48 1.38 1.28 0.77 0.61 29.91 47.81 57.81 65.52 71.58 76.85 80.28 83.22 85.78 87.78 89.53 91.02 92.39 93.68 94.44 95.06 outline form accounts for both a high degree of the variability in core morphology between cores from the same locality, as well as across different localities. Fig. 3 plots PC1 against PC3 where variation along PC3 appears to be accounted for by a combination of variation in both outline form and surface topology. Collectively, these results indicate that the greatest levels of variation in the shapes of Levallois cores are driven by differences in the outline shape of individual cores, with markedly less of the variation being explained by differences in the 3D surface topology of cores. Examination of the thin plate spline (tps) deformation grids for the first three PCs confirms these results (Figs. 4e6). Fig. 4 shows the tps deformation grids at the centre (0.00) and extremities of PC1 (i.e. 0.24 and 0.24) in xey planform view (upper grid), xez planform view (middle grid), and xez section view (lower grid). Examination of these deformation grids clearly demonstrates that the shape changes which account for the greatest variation between cores, as represented by the quantitative shape data of PC1, is variation in outline form rather than in terms of topological variation in surface morphology (Fig. 4). This can be seen in the fact that the xey and xez planform grids exhibit considerable twisting deformation relative to the average (squared) grid. In contrast, in the lower xez section grid representing surface topology, there is no twisting or distortion of the vertical and horizontal arrangement of the grid structure (Fig. 4). The deformation grids associated with PC2 (Fig. 5) also demonstrate that variation along this second axis of shape variation is dominated by deformation representing variation in outline form rather than surface topology. The deformation grids associated with PC3 (Fig. 6) indicate that a combination of both outline shape and surface topology account for variation along this third PC. Again, collectively, the tps deformation grids clearly indicate that the greatest difference in the shapes of the Levallois cores is that associated with variation in outline shape, with markedly less of the overall variation between cores being explicable in terms of variation in the 3D surface topology of cores. 5. Discussion Cores represent a discrete subset of the lithic detritus produced by hominin populations, but they preserve tangible evidence of the reduction strategies and organizational principles of reduction used by extinct hominins (Baumler, 1995; Brantingham and Kuhn, 2001; Clarkson, 2010). Here, Levallois cores from Africa, Europe, the Near East and the Indian subcontinent were subjected to 1512 S.J. Lycett, N. von Cramon-Taubadel / Journal of Archaeological Science 40 (2013) 1508e1517 Fig. 2. Principal components plot of PC1 against PC2. The dorsal and lateral view wireframe diagrams indicate the major aspects of shape variation associated with PC1 (29.91% of variance) and PC2 (17.9% of variance). Fig. 3. Principal components plot of PC1 against PC3. The dorsal and lateral view wireframe diagrams indicate the major aspects of shape variation associated with PC1 (29.91% of variance) and PC3 (10% of variance). S.J. Lycett, N. von Cramon-Taubadel / Journal of Archaeological Science 40 (2013) 1508e1517 1513 Fig. 4. Deformation grids representing shape variation of cores along PC1. The average form is shown in the centre (0.00) and the relative differences in specimens close to the extremities of the PC range are shown left and right of this (i.e. at 0.24 and 0.24). Upper grid represents xey planform view of core, middle grid represents xez planform view, and lower grid represents xez section view through core. comparative shape analysis via a geometric morphometrics framework. The comparative multivariate analyses undertaken here revealed a clear pattern. That is, the greatest level of variability in the surface morphology of Levallois cores is evident in the form of their outline shape. Conversely, the geometrical (i.e. shape) relationship between the margin of the Levallois cores and their topological surface morphology was relatively uniform across different sites and regions. These results are thus consistent with the suggestion that the geometrical properties of Levallois cores were designed to produce flakes with specific properties relating to relative thickness (Eren and Lycett, 2012), and that manipulation of the geometrical relationship between the margin of the core and the geometrical properties of its surface morphology were used to manage Levallois reduction in a controllable and potentially predictable manner (e.g., Van Peer, 1992; Brantingham and Kuhn, 2001; Eren and Bradley, 2009). In other words, the pattern that emerges from the analyses is that if, as many have argued (e.g., Van Peer, 1992; Schlanger, 1996; Brantingham and Kuhn, 2001; Pelegrin, 2005; Wynn and Coolidge, 2004; Eren and Lycett, 2012), Levallois cores were deliberately created products designed to organize core reduction in specific ways, then from the viewpoint Fig. 5. Deformation grids representing shape variation in cores along PC2. 1514 S.J. Lycett, N. von Cramon-Taubadel / Journal of Archaeological Science 40 (2013) 1508e1517 Fig. 6. Deformation grids representing shape variation in cores along PC3. of the hominin knappers responsible for their creation, the outline form of such cores was a less important variable than the geometric/topological properties of the surface morphology and, in particular, the relationship between the margin of the core and those variables. Several salient implications arise from recognition of these patterns of stability and variability in Levallois core morphology. The difficulty of accurately replicating Levallois core morphology in modern experimental contexts has frequently been noted by commentators on the topic (e.g., Callahan, 1982; Hayden, 1993: 118; Wynn and Coolidge, 2004: 474; Pelegrin, 2005; Eren et al., 2011a). The results reported here suggest why it is regarded so difficult to produce convincing replicas of such artefacts. The production of such cores is mediated by factors such as the production of distal and lateral convexities, as noted by others (e.g., Boëda, 1988, 1995; Van Peer, 1992). However, only through control of the very specific and finite geometrical/topological relationship between the margin of the core and the shape of its upper surface would the restricted range of morphology represented in the Levallois cores examined here emerge. Geometrically, the challenge of removing a Levallois flake is akin to chopping the top off an egg; albeit a stone egg, laying on its side1 (Fig. 7). This specific and characteristic ‘Levallois geometry’ must be consistently imposed by the knapper and cannot be cheated; if it is incorrect, the physics does not work, and the restricted range of geometrical relationship between the margin of the core and the surface topology left by removal of the ‘Levallois’ flake(s) seen in the archaeological examples examined here would not emerge. 1 This is a schematic model designed to illustrate the geometrical relationships of key variables to each other, particularly the core margin and its relationship to other variables. It does not imply that Levallois cores were perfectly elliptical, nor that their upper surfaces were identical to their lower surfaces. Indeed, a distinctive feature of Levallois is the hierarchical relationship of the core surfaces (Boëda, 1995). The constraint on Levallois geometry with regard to the core margin and its relationship to surface and platform variables, suggests that if there is any ‘free-play’ in Levallois core form, which might lead to regionally or temporally distinct traditions, then this is most likely to be exhibited in terms of outline (planform) variables. It is notable in this regard that one of the strongest lines of evidence for a regionally distinct Levallois ‘tradition’ are cores assigned to the MSA Nubian technocomplex of Northeast/East Africa, which are distinctive in terms of their triangular/sub-triangular shapes (Guichard and Guichard, 1965; Van Peer, 1992; Van Peer and Vermeersch, 2007; Olszewski et al., 2010). Such issues may be important given claims that recognition of this technocomplex has implications for the dispersal of hominins into the Arabian Peninsula (e.g., Rose et al., 2011; Usik et al., in press). These results also support repeated suggestions that Levallois core reduction schemes developed directly out of the reduction strategies used in the production of Acheulean handaxes (e.g., Leroi-Gourhan, 1966; Copeland, 1995; Rolland, 1995; Tuffreau and Antoine, 1995; Schick, 1998; DeBono and Goren-Inbar, 2001; Lycett, 2007b). The specific control elements required, including control of the relative position of the core margin and its relationship to other shape variables would be unlikely to emerge from ‘opportunistic’ Mode 1 technologies that rely on migrating platforms, rather than the reduction strategies required to produce bifacial handaxes. In the case of Levallois reduction it is the margin of the core that must be established and managed, just as the bifacial edge of an effective handaxe cutting tool must be established and managed by its maker. In this sense, the emergence of Levallois reduction e in building on earlier schemes of control in reduction seen in handaxes e would represent a clear instance of technological ‘ratcheting’ (sensu Tomasello, 1999). Learning how to impose and control, however, the very specific and finite geometrical/topological relationship between the margin of the core and the shape of its upper surface, might imply particularly effective mechanisms of social transmission in hominin S.J. Lycett, N. von Cramon-Taubadel / Journal of Archaeological Science 40 (2013) 1508e1517 1515 Fig. 7. Schematic representation of the geometric relationship between the core margin and other features of Levallois cores. The results highlight the restricted range of variation associated with the margin of the core and its organisation and arrangement relative to these other features. (NB. This does not imply that Levallois cores are elliptically shaped, but it schematically illustrates the geometrical relationships between elements of Levallois core geometry, as highlighted by the analyses.) populations responsible for Levallois reduction.2 Given the difficulty of learning Levallois, it is reasonable to ask whether direct teaching may have been involved over and above more simple observational learning mechanisms such as emulation and/or imitation. As Wynn and Coolidge (2010: 97) note, a conservative response to such a question might always reasonably lead to the conclusion that social learning via observation and inference of goal alone could lead to the accurate learning of such techniques since much can be learnt via mechanisms of emulation and imitation (Whiten et al., 2004). Indeed, in the case of stone toolmaking e which leaves material traces of behavioural actions e much might potentially be learnt via observation of another individual’s material products alone in a form of ‘plagiaristic cultural transmission’, rather than via any direct agenteagent interaction. Ironically, mechanisms of social learning do not, in fact, always require agente agent interaction or direct behavioural observation (Byrne and Russon, 1998: 669). However, recent mathematical models have indicated that teaching is more likely to evolve where any costs associated with teaching are outweighed by the inclusive fitness benefits that result from the instructor’s kin being more likely to acquire the valuable information (Fogarty et al., 2011). Importantly, these models also suggest that teaching is more likely to evolve in these circumstances when novices cannot easily learn the information for themselves or via observational learning alone (i.e. the tasks required are relatively difficult). There is evidence to suggest that the adoption of Levallois reduction schemes by Middle Pleistocene hominins offered potential fitness benefits such as the economisation of raw material relative to the production of available cutting edge (Brantingham and Kuhn, 2001), as well as via the production of flakes that are predictably beneficial in terms of reduction potential, robustness of working edge, and overall balance (Eren and Lycett, 2012). There are ethnographically recorded examples of restricted opportunities for the social transmission of important and difficult to learn information due to direct costs imparted to potential teachers. For instance, adult male Tsimané hunters of the Bolivian Amazon are reluctant to take young novices with them on hunting trips due to the dangers of novices inadvertently making any noise that would spoil hunting opportunities (Reyes-García et al., 2009: 283). In contrast to this situation, 2 Here it is perhaps also important to note that the sheer number of variables that a knapper is required to instigate and manage simultaneously in successfully replicating a ‘classic’ Levallois core and flake removals (i.e. distal and lateral convexities, their relationship to the core margin, managing the migration of the margin as core reduction progresses, and the relationship of those variables, in turn, to platform depth of the large flake(s) [see e.g., Pelegrin, 2005]), presents challenges even beyond handaxe manufacture. knapping is a noisy activity, which although requiring concentration, would not irrevocably be disturbed by deliberate acts of instruction, either through visual or verbal gestures while undertaking the task. The results of the present study cannot, of course, settle the issue, but as a candidate for a directly taught piece of material culture, rather than one learnt solely through imitation and emulation, then Levallois represents an outstanding nominee on consideration of all these collective criteria. Independent test criteria will, however, be required to further substantiate this contention, and it is perhaps here that the greatest challenges await future research. Acknowledgements We thank Metin Eren for helpful discussions and comments, as well as Richard Klein and two anonymous reviewers for constructive comments on an earlier version of this paper. We are also grateful to staff at the British Museum, London and the University of Cambridge (CUMAA) for hospitality during data collection. References Archer, W., Braun, D.R., 2010. Variability in bifacial technology at Elandsfontein, Western cape, South Africa: a geometric morphometric approach. 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