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Christopher. Ruff Department of Cell Biology and Amtory. Johns Hopkins l’ni~errip School of Medicine, 725 N. Wolfe S&et. Baltimore, .UD 21’205. l..S..i. Received 10 March 1987 Revision received 10 July 1987 and accepred 11 September 1987 Publication datr,January 1988 Kpwords: sexual dimorphism. biomcchanics, lower limb skeleton. Sexual dimorphism in human lower limb bone structure: relationship to subsistence strategy and sexual division of labor Cross-sectional geometric properties of the human femur and tibta are compared in males and females in a number of recent and archaeological population samples extending back to the Middle Paleolithic. There is a consistent decline in sexual dimorphism from hunting-gathering to agricultural to industrial subsistence strategy levels in properties which measure relative anteroposterior bending strength of the femur and tibia in the region about the knee. This trend parallels and is indicative of reductions in the sexual division of labor, in particular differences in the relative mobility of males and females. Sexual dimorphism in medialateral bending strength near the hip shows no consistent temporal trend, probabb reflecting relatively constant sex differences in pelvic structure related to tht requirements of childbirth. Upper and Middle Paleolithic samples arr indistinguishable in terms of sexual dimorphism from modern huntcr- gatherers, suggesting a similar sexual division of labor. ‘l‘hr results tllustrate the utility of cross-sectional geometric parameters of long horn diaphyses in reconstructing behavioral ditlerencrs within and between past populations. Some variations in the accuracy of sexing techniques based on diaphyseal measurements of the lower limb long bones may also hc explained by these behavioral and structural factors. Journal of Human G~olur~on j 1987) 16, 391-416 Introduction Thus, where for Anatomy there seemed to exist hitherto a relatively simple proposition there is discovered on close scrutiny a whole web ofconditions. As every other feature, so the shape ofthe body of a free bone has not merely a range of its normal variation, but also a tendency to differentiate into a number of different types, and presents a whole life history of changes resulting mainly from the mechanical influences that act on the bone. All ofwhich opens a vast and alluring new field for the human biological science of the future (Hrdlicka, 1934a, p. 39). Differences in sex roles in human societies have long interested anthropologists, particularly the demarcation of economic behavior along sex lines. Yet there has been practically no interest among paleoanthropologists as to the relationship between a rigid sexual division of labor and any contingent biological effects. . If specific physiques have their economic advantages in modern society, what sort of inferences can be made concerning morphological attributes in prehistoric populations? (Frayer, 1980, p. 399). Despite the early optimism expressed by Hrdlicka in the passage quoted above, thr succeeding decades have not produced a dramatic increase in our understanding of the relationship between environmental forces and variation in bone shape. Several factors have contributed to the general lack of progress in this area: greater than expected complexity in the “laws” of bone architectural change in response to altered environmental conditions (e.g., Lanyon, 1982); a continued emphasis in skeletal studies on relatively simple, usually linear measurements and indices which limit structural interpretations; and to some extent a lingering typological and essentially descriptive approach (paradoxically well exemplified by Hrdlicka himself) with little consideration of functional correlates and relevance of findings to more general issues of biological adaptation (Lovejoy et al., 1982). 0047- 2484/87/05039 I + 26 $03,00/O 0 1987 .4cademic Press I.imited 392 (:. RI-FF The history of the study ofsexual dimorphism in human postcranial skeletal dimensions. in particular lower limb long bones, provides a good example ofthis last point. M’hile s(‘s differences in femoral and tibia1 morphology have long been noted (Hrdlicka, 1898, 19346; Parsons, 1914; Holtby, 1917; Pearson & Bell, 1919; Martin, 1928). rarely has an attempt been made to provide a functional interpretation of these differences. The same can be said of the various techniques developed for determining sex from lower limb long bone remains (e.g., Black, 1978; Iscan & Miller-Shaivitz, 1984; MacLaughlin & Bruce, 1985). 11s Armelagos and coworkers ( 1982, pp. 3 18-319) have noted in an historical review of the field of skeletal biology: “Although a methodology for interpreting the functional significance ofsexual dimorphism [in postcranial dimensions] could have been developed. it was not. Physical anthropologists instead created statistical techniques for determining sex without concern for the functional factors that lead to these differences.” Those more recent studies which have examined relationships between postcranial sexual dimorphism and environmental factors have tended to concentrate on measures 01 overall size (e.g., Frayer, 1980, 1984; H amilton, 1982; also see Armclagos Br Van Gcrven, 1980). However, size alone, whether of the body as a whole (e.g., stature) or an individual bone (e.g., length, circumference), is a relatively general and imprecise indicator ot biological adaptation. For example, both nutritional and mechanical-behavioral factors may contribute to an increase or decrease in size or sexual dimorphism in size (Stini, 1974; Gray & Wolfe, 1980; Ruff el al., 1984). Changes in bone geometry, or shape, may be more informative with respect to specific environmental adaptations, in particular, adaptation to specific mechanical forces which are indicative of functional USC and thus behavioral differences (Lovejoy et al., 1976; Ruff & Hayes, 1983a,b; Ruff e/ al., 1984). In a previous study of skeletal material from the Pecos Pueblo, New Mexico archaeological site (Ruff & Hayes, 19836), several sex-related differences in lower limb bone structure were noted. These appeared to reflect different mechanical forces, or loadings, placed upon male and female lower limb bones during life. Specifically, male lower limb bones were adapted for relatively greater anteroposterior bending, and female lower limb bones for greater mediolateral bending. Two possible explanations were proposed for this sex difference: (1) greater participation ofmales in activities that required running, which should produce high A-P bending loads in the lower limb, especially around the knee; and (2) relatively greater pelvic breadth and consequent higher M-L bending loads about the hip in females. Th e present study expands this investigation to include a large modern U.S. population sample. Sexual dimorphism in lower limb bone structure of this sample is found to be markedly different in some respects from that of Pecos Pueblo. Using a comparative approach, the relationship between bone structural differences and changes in suhsistencc strategy and sexual division of labor is explored in these and other population samples. The specific structural characteristics examined here are cross-sectional geometric properties of the femoral and tibia1 diaphyses. In particular, variation in second moments of area of the compact bone cortex are investigated. Second moments of area, also referred to as area moments of inertia, are properties used by engineers to measure the bending and torsional rigidity and strength of structural beams, and reflect both the area of a cross section and the area1 distribution of material in the section(Timoshenko & Gerc, 1972). The precise meaning and interpretation of these section properties in a biomechanical context has been discussed in detail elsewhere (Lovejoy el al., 1976; Ruff & Hayes, 1983a). In the present study, only two cross-sectional geometric properties are examined-the SEX DIFFERENCES IN SKELETAL STRt:CTlrRE 39’ ratio ofmaximum to minimum second moments of area. Z,,,,,/Z,i,,, and the ratio ofsccond moments of area about the x (M-L) and y (A-P) axes, I,/!,. The first ratio mrasures the relative maximum bending strength of the bone at that cross section, while the second riiti(J measures the bending strength in the A-P plane rclativc to the R/I-L plane.’ Both ratios are indices of cross-sectional “shape”, since they reflect relative distribution of bone about perpendicular axes. For example, as illustrated in Figure 1. an I,//,. ratio of 14 indicates an equivalent distribution of bone about x and Y axes, while ratios ,greatrr or less than 1.0 indicate a direction of greater bending strength in the A-P or M-L planes, respectively. The same reasoning applies to ImnxlZmi,,, except that this ratio will always be greater than or equal to 14, and I,,, and I+, may be oriented in anv direction. though al\~;rvx perpendicular IO each other. I& =I.0 I*/Iy~2~0 lK’IY :o?j Figure 1. Efkcts ofvarying cross-sectional shape on IT/I, ratio. In the present study. the x axis rcprrscn~\ the mediolateral axis. thus: greater values of /,/I, indicate relativeI! greater .-I-P bending strengtll. I,/!,. and f,,,/I,,,,, ratios were chosen for analysis fbr severa reasons. First. as noted earlier, structural characteristics which quantify differences in bone shape are more likely to reflect differences in specific mechanical loadings and behavioral patterns. These two ratios represent simple and readily understandable indices ofcross-sectional shape which nevertheless have direct mechanical relevance. Second, the use of ratios avoids complexities associated with the standardizing of raw data for body size differences bctwren the sexes or population samples (see Ruff & Hayes. 1983a; Ruff, 1984). Finally, these ratios are in some ways analogous to and can be compared with simple linear rxternal breadth ratios which have been measured in many skeletal samples, e.g., the “pilasteric” and “platycnemic” indices of the femur and tibia, respectively- (Martin, 1928). Thus. this allows inclusion ofa much larger number ofsamples in a subsequent comparati\,e analysis, broadening both the data base and the generality of results, as well as increasing the applicability offindings to samples where engineering cross-sectional propcrtirs cannot be measured. A comparison of sexual dimorphism in lower limb bone cross-sectional geometry in the Pccos and modern U.S. samples is presented first. Several other population samples with available cross-sectional geometric.data are then included in the comparison. Linear external breadth ratios for other modern and archaeological samples are examined and interpreted in li,ght of these findings. Finally, again usin,g external breadth data, sexual ’ Note that properties measured about one axis indicatt, strmgrh in ;I plane of bending- perpndimlnr IO tht asi\. 394 I:. RIIE‘F dimorphism in lower limb bone structure is dcmonstratrd to occur at least as c,arl>, ‘is the, Upper and Middle Paleolithic. Cross-sectional geometry-Pecos and modern U.S. The proveniencc and method of analysis of the Pecos Pueblo skeletal sample has been described at length e&where (Ruff & Hayes, 1983a). Briefly, Pecos Pueblo was a large late prehistoric and early historic settlement in north-central New Mexico with an agricultural subsistence base. The study sample includes 119 adults, 59 males and 60 females, each represented by a femur and tibia. The average age at death within each sex is about 37 years. Cross-sectional geometric properties wcrc determined by sectioning and direct measurement at 11 locations: 20, 35, 50, 65, and 80% of femoral and tibia1 length, measured from the distal end, and the mid-femoral neck. Only the 10 diaphyseal locations are included in the present study. The modern U.S. sample was obtained from cadavers used in anatomy classes, plus a few specimens from a bone bank. All individuals in the sample were adult Whites. The complete sample includes 103 fcmora and 99 tibiae, with approximately 80% concordance between bones (i.e., matched specimens from the same individual) (Ruffet al., 1986; Ruff & Hayes, in press). In order to ensure age comparability with the Pecos sample, only younger individuals between 20 and 59 years arc included in the present study, reducing the sample size to 47 femora (23 male, 24 female) and 42 tibiae (19 male and 23 female). The average age at death of males is 42 years, of females, 43 years. Although a total of 20 cross section locations were originally measured in this sample, only the 10 locations corresponding to the diaphyseal sections included in the Pecos sample are analyzed here. Section properties were determined using the same techniques as those employed for the Pccos sample. Summary statistics for Zm,,xllmir, and ZJZ, arc presented for the Pccos sample in Table 1 Table 1 Sex differences in I,., /I,;, and ZJZ, of femoral and tibia1 cross sections in the Pecos Pueblo sample ~rd~t,,,~~ I,ll,' M&S Fern&!, MACS Fmlalcs (XI-F)/F ill-F]!E Section &an SE Mean SE x 100 XIean SE hICar SE x 100 ‘Lb. 20%” 1425 0.028 I.406 0.2U4 I.& 1.033 O,(J’L’, 14J27 w21 0.6 35% 2.510 0.065 2.28 1 0.053 10,1** 1.41; 0.043 I.422 0.037 -0.3 50% 3.153 0.077 2.704 WO6i ,6.7*** 1,942 0059 I.81 I 04 47 7.2 65% 3.374 0.076 2.926 0.077 1.5.0*** 2.338 0.060 2,128 0.05 I 9.9** 80% 2.768 0.066 2453 0,068 13.1*** I.954 0~0.5 1 I.758 001& I I.I** Fem. 20% 1,333 0,024 I.552 0.028 -I&l*** W826 0.0 17 0.684 NJ I L’ L’().8*** 35% 1.356 0.029 1,177 0.018 ,5.2*** I.211 0~02.5 1.069 0.0 10 ,3.3*** 50% 1,478 0,028 1.287 0.022 I-&,7*** 1.143 0~026 I+&7 (JW? 9.2** 65% 1.286 0.02 1 1,355 WJ25 -.5.1* 0.964 0.022 Il.947 (1.02 1 I.8 80% 1,898 0,036 1.926 OG36 - 1.5 0~902 0.022 U.862 0,023 .4$ 1 Maximum/minimum second moments of arra: maximum/minimum hrndinq strerqtb 1 Second moments of at-Pa about .x/ahout_r axrs: A-I’D-f, bending strength. i Percent of bone length from the distal end. * P < 0.05: ** P < 0.01; *** P < 0.001: t-trots bctwwn m&s and frmates. SEX DIFFEREh’CES IN SKELETAL STRL’(:Tl.RE 395 and the modern U.S. sample in Table 2. Mean data for males and females and the percentage difference between the sexes, [(male-fcmale)/fcmale] X 100, are given. Statistical significance of sex differences within groups is evaluated using f-tests. l’o facilitate direct comparisons between groups. percentage differences between the sexes in the ZJZ, and ZnI.<y/Zrnir\ ratios are also plotted for each sample in Fi,gurcs 2 and 3. respectively. Table 2 Sex differences in Z ,,&Imin and Z.Jl, of femoral and tibia1 cross sections in the modern U.S. White autopsy sample’ 'l'ih. 20% 143-4 0,052 I.326 OG45 &I 35% 1.919 0.1 I2 1.775 0.081 8. I 50% 2.116 0.111 2.036 0.078 i,.4 65% 2,428 0, 103 2.265 0.065 7.2 80% 2.391 WO81J 2.198 lJ.073 8.9 FCT. 20% I.465 0~033 1.666 oG49 -1_?1** IJ.71 I (PO16 0.657 lJW7 8.2 35 % 1.175 0.019 1.270 0.025 -7 j** I .I1211 ll.022 0.988 UWVI 1.2 50% 1 .‘,!43 I .k 0,026 1.277 0.014 I.3 I ~L’O6 lJ.035 I.231 0047 - "- 1 65 % 1).03fJ I.363 0.051 - 8.3 I.153 (W.39 I .28j O-O.5 7 -11.1 80% I~'~53 0.039 1,399 0.034 -'j.i 1JW4 __ (HJ','~ lm77 WWI _-'(:)* ’ Smtion proprrties nnd locations as in Tahlr I. * I' < WS; ** I' < O.(II: /-tests brtween malrs and fcrmles. As shown in Table 1 and Figures 2 and 3, in the Pecossample the sex difIerencr in femoral and tibia1 cross-sectional shape is highly significant at most cross section locations. As discussed previously (Ruff & Hayes, 19836), these shape differences indicate that Pecos males were adapted for relatively greater A-P bending loads throughout most of the lower limb, but particularly in the region around the knee, an area ofprobable high A-P bending moments in viva. This is shown most clearly by sex differences in the I,/!, ratio (Figure 2 j. The same sex difference is also reflected in the Z,.‘,/Z,,iI, ratio (Figure 3), although results appear more complex because of changes in orientation of greatest and least bending strength at different section locations (Ruff & Hayes, 1983a). In the tibia, the orientation of greatest bending strength is always posteromedial-anterolateral (with respect to the knee joint), coming closest to directly A-P in the proximal halfofthe shaft, the region ofgreatest difference in I ,n,JZmirr between the sexes. In the femur, the direction of greatest bending strength rotates along the length ofthe shaft, being more M-I, oriented in the proximal and most distal diaphysis and more A-P oriented in the mid-distal region of the shaft. Thus, in keeping with the relatively greater A-P bending strength of males and greater M-1, bending strength of females, ZmaxlZnnr, is greater in males in the mid-distal femur and greater in females in the distal and proximal femur (although not significantly in the most proximal femoral section). In contrast to these findings for the Pecos sample, the modern U.S. sample shows much less sexual dimorphism in cross-sectional shape of the femur and tibia at most locations (Table 2 and Figures 2 and 3). Concentrating first on sex diKerences in ZJZ,. (Figure 2). 396 (a. RC’FE ;2;,;-..._______~~_ VI ‘v E \ z \ L a” \ l -lO- ‘v- -7 t1 1 I 1 I I I I I I 20% 35% 50% 65% 00% 20% 35% 50% 65% 80% Tlbla FWltN Figure 2. Sexual dimorphism in /,/I,, or relative A-P to M-L bending strength of the femur and tibia m the Pecos (0) and U.S. White autopsy (0) samples. Cross section locations are measured as percent distance from thedistal end ofthe bone. Percent sex differencein IX/I,: [(Male-Female)/Female] X 100. Positive values indicate relatively greater A-P bending strength &I males (or greater M-L bending strength in females); negative values indicate relatively greater M-L bending strength in males (or greater A-P bending strength in females). * P < 04.5. ** P < 0.01. *** P < 0.001. t-tests betwrcn malrs and females. Tiblo FWlUC Figure 3. Sexual dimorphism in I,,,,lI,,,,,, or relative maximum to minimum bending strength of thy femur and tibia in the Pecos (0) and U.S. M’hite autopsy (v) samples. Positive values indicate relativeI> less equal distribution of bending strength in all planes in males (less circular shape); negative valur> indicate that this is more characteristic of females. Section locations. calculation of prrccnt scs difference, and significance levels as in Figure 2. SEX DIFFERENCES Ih’ SKELETAL STRL’CTtrRi? 397 modern U.S. males show some evidence of relatively greater A-P bending strength in the proximal tibia and distal femur, but the sex difference is at most half that for the Pccos sample, and does not reach statistical significance at any location. In the mid-proximal femur, modern U.S. males actually exhibit relatively greater ‘W-L bending strength than females, reaching significance in the most proximal section. Interestingly, the pattern of’ charge in sex differences along the length of the femur is very similar in the Pccos and modern U.S. samples, as if the entire Pecos pattern of sex differences were simply transposed downwards. The same is true to a lesser extent of the tibia. Examination of the data in Tables 1 and 2 shows that relative ,4-P bending strength (I,/!,,) of the tibia and distal femur is lower in both sexes in the Pecos sample than in the modern U.S. sample, but that this reduction is relatively greater among males in the proximal tibia and distal femur. Sex comparisons of the ratio Zmax/Zmin in the modern U.S. sample (Figure 3) lead to the same conclusion. In the tibia, the modern V.S. sample again shows a “flatter” curve ofsex differences in maximum to minimum bending strength, with no increase in sexual dimorphism in the proximal half as occurs in the Pecos sample. Although sex differences in the most distal and proximal femoral diaphysis are similar in the two samples, scsual dimorphism in the mid-distal region is much reduced compared to the Pccos sample. i1gain (Tables 1 and 2) these sample differences are due mainly to relatively greater reductions in /,,,,lZ,,i,, among the modern U.S. males. In summary’, the modern U.S. White sample shows significantly less sexual dimorphism in cross-sectional shape of the lower limb bones than the Pecos sample, particularly in sections from the mid-femur through the mid-tibia. This is brought about mainly by a relatively greater reduction in bending strength in or close to the A-P plane in males in this region. Thus, the most marked sex difference noted in the Prcos sample-relatively greater A-P bending strength in males around the knee-is very much reduced in the modern sample. Taken together, these findings indicate that Pecos males and females engaged more often in sex-specific activities which placed different bending loads on the lower limb bones in the region around the knee than recent U.S. M:hites. If the Pecos sex differcncc near tht knee reflects more running and long distance travel by males (RufY & Hayes. 198%: also see Discussion), then the reduction of such a difference in the modern U.S. sample may indicate less sexual dimorphism in the time spent in these activities. If this hypothesis is correct, then there should be a general correlation between sexual dimorphism of lower limb bone structure and sexual dimorphism in activities invobing running in diGrent populations. Since greater time spent running and in lon,g distance travel implies greater mobility, this can be stated even more generally: the tnore populations difier with regard to culturally. prescribed and/or economically necessary differences in mobility between the sexes, the more they should differ with regard to lower limb bone structure, particularly around the knee. It is this proposal which is tested in the following sections. Cross-sectional geometry-other samples The number of skeletal samples where cross-sectional geometric properties have been directly measured or accurately estimated in an adequate number of individuals for sex comparisons (minimum of about 10 per sex) is relatively small. In addition to the Prcos and modern U.S. White samples, such data arc availahlc for nine other lower limb bone Table 3 Sex differences in Z msxlZmin and ZJZ, of femoral and tibia1 cross sections in autopsy and archaeological samples’ Subsistence technoloa\ Hunter-gatherers Agricultural Industrial Sect. Prop. Sample? M F %dif.” M F %dif. 11 F %dif. Tibia 50% Tibia 50% Femur 50% Femur 50% Femur 80% Femur 80% Eskimo Pews U.S. White I rnax Pews c U.S. White Japanese Georgia Tennessee R New Mexico Japanese Pecos U.S. White k Tennessee R Georgia New Mexico Pecos U.S. White % Georgia Pecos U.S. White I max Georgia G New Mexico Pecos U.S. White 1.56 l-28 l-16 10 1.21 1.06 14 1.28 1.18 8 1.50 1.10 36 1.34 1.41 1.66 0.88 2.09 2-14 -2 I.54 1.92 -20 1.29 21 1.22 l-14 1.42 :: 16 1.14 -23 1.94 3.15 1.08 Ia5 1.24 1.14 1.28 1.30 I .40 1.481.08 0.90 I .82 I68 1.90 1.81 7 2.70 17 1.03 I.01 2 1.21 2 1.05 9 I.23 1.31 : 1.32 6 1.29 15 1.03 5 0.86 5 2.10 -13 I.83 -8 1.93 -2 1.54 2.15 2.13 1.46 6 2.04 5 I.91 11 1 .U6 I ,06 0 I.21 1.23 -2 1.29 @88 I.35 1.28 1 0.98 - 10 140 -3 ’ Section properties and locations as in Table 1. 2 See Appendix for provenance of samples. s [(Male-Female)/Female] X 100. samples, listed in Table 3. These include a protohistoric Eskimo sample (Martin et al., 1985), modern and prehistoric archaeological samples from Japan (Kimura & Takahashi, 1982)) and paired Amerindian archaeological samples from two different temporal periods in western New Mexico (Brock, 1985; Brock & Ruff, in press), the Georgia coast (Ruffetal., 1984), and the Tennessee River valley (Bridges, 1985). A more detailed description of the samples included here is given in the Appendix. Only three section locations-the tibia1 and femoral midshafts and the femoral subtrochanteric region (80% level in Pecos and modern U.S. studies)-can be compared across samples. Fortunately, these three section locations include bone regions determined earlier to be critical in distinguishing patterns of sexual dimorphism in the Pecos and modern U.S. samples, especially the femoral and tibia1 midshafts. For purposes of comparison, samples were grouped into three broad subsistence technology categories: hunting-gathering, agricultural, and industrial. The grouping of data in this way was carried out because it was anticipated that subsistence technology and relative differences between the sexes in mobility and other behavioral patterns would bc related (see Discussion). It is obvious that this type of categorization groups together SEX DIFFERENCES IN SKELETAL STRUCTURE 399 populations with very different sociocultural and biological characteristics, e.g., modern Japanese and modern U.S. White; Eskimo, southeastern U.S. Amerindian and prehistoric Japanese. However, the aim here is to test whether in fact broad generalizations regarding subsistence strategy, behavior, and morphology are valid, regardless of other obfuscating factors. The availability ofthree pairs ofsamples with different major subsistence strategies but otherwise similar environments and at least partial genetic continuity (Georgia coast, western New Mexico, and Tennessee River valley) also provides an opportunity to test the hypothesis under better controlled conditions. To a lesser extent this is also true for the comparison between prehistoric and modern Japanese groups. Z,T/Z,. and Zm;ix/Zmin ratios for the tibia1 and femoral midshafts and proximal femoral diaphysis are listed for all available samples in Table 3. As shown here, there is relatively less data available for the tibia than the femur, and the femoral midshaft has been the best studied region. However, with the exception of I,,, /Z,i” of the midshaft tibia, there is at least one sample in each subsistence technology category for each property. In both the tibia1 and femoral midshafts, sexual dimorphism in ZmaxlZmin and Z,lZ, declines from hunting-gathering through agricultural to industrial groups. In the tibia, male ratios are always greater than female ratios, but the hunting-gathering period shows the most sexual dimorphism and the industrial period the least of the three groups. In the femoral midshaft, male ratios are greater than female ratios in all of the hunting-gathering samples and in all but one of the agricultural samples (Tennessee River valley, where the two sexes were equal). Percent sexual dimorphism in femoral midshaft I,/!, ranges from 8 to 36% in hunter-gatherers and from 2 to 9% in agriculturalists; dimorphism in Z,,,,lZ,n,,, ranges from 10 to 24% in hunter-gatherers and from 0 to 15% in agriculturalists (0 to 6% without Pecos). The industrial period samples show essentially no sexual dimorphism in either Z,/Z, or Zmax/Zmin at the femoral midshaft, ranging from a -2 to 1% difference. Given the diverse nature of the population samples included, the general consistency, of the temporal decline in sexual dimorphism of these femoral and tibia1 midshaft properties is remarkable, with almost no overlap between subsistence categories (except for the PPCOS Z,,,/‘Z,i,l index at the femoral midshaft’). Furthermore, in every comparison between paired samples from the same region, the temporally later group shows less sexual dimorphism than the earlier group. Patterns of change in Z.Y/Z,, and Zmax/Imin in the proximal femoral diaphysis are not as clear as in the femoral and tibia1 midshafts. Females always show greater Zm,,/Zmi” ratios than males here, but there is no consistent temporal change in the ratio, either across or within geographical regions. The Zr/ZY ratio in the proximal femur shows even less consistency, with some groups showing greater values for females and some greater values for males. However, this is probably largely a result of the “diagonal” orientation of greatest bending strength in this region, tending to fall almost midway between A-P and M-L planes (Ruff & Hayes, 1983a), and the dependence of this orientation on the antetorsion angle of the femoral neck (Ruff & Hayes, 19836). These variations in orienration tend to confound interpretations of I,/!,; for this reason the ZmaxlZTrlln ratio is more informative with regard to shape differences in the proximal femur. 2 It should be noted that the orientation of greatest bending rigidity of the femoral midshaft is not dirwtl) anteroposterior, but tends to fall between about 50 and 80 degrws from the mediolateral axis, as described in Ruff & Hayes (1983~1). Ruffe~ al. (1984) and unpublished data on the modun U.S. White sample. Thus, a high degree ofsexual dimorphism in I,,.lZ,,,,, at midshaft does not necessarily indicate a high degree ofsexual dimorphism in A--P/h{-1, bending strength per se, as also reflected in the femoral midshaft 1,/Z, index for Prcos. 400 (:. KI’Ft Thus, the data for the femoral and tibia1 midshatis strongly support an association between subsistence strategy and sexual dimorphism in lower limb bone cross-sectional geometry. Reduced sexual dimorphism in relative A-P bending strength around the knee, noted earlier in the modern U.S. compared with Pecos samples is now seen to be part ofa general trend spanning three broad subsistence technologies and several geographic regions. The lack of consistent trends in the region about the hip, also noted in the Pecos-modern U.S. comparison, may be explained by other structural and mechanical factors discussed later. External breadth ratios-recent samples To provide an even broader range of populations in which to test these associations, ratios of lower limb bone external breadths were compared in males and females in a number of additional samples. External breadth is only a partial reflection of cross-sectional geometric distribution of bone and does not include variations in internal contours as well as more subtle variations in total shape. However, because second moments of area are heavily influenced by external dimensions (Ruff & Hayes, 1983a), ratios of external breadths measured in perpendicular planes are correlated with ratios of corresponding second moments of area (Jungers & Minns, 1979). Thus, the same general patterns of variation in cross-sectional shape should be expected for these indices as for the more complete Zm,,/Z,i” and I,/!, ratios. Osteometric external breadth indices have been most commonly calculated at four locations in the tibia1 and femoral diaphyses: the tibia1 midshaft, the mid-proximal tibia at the level of the nutrient foramen(platycnemic index), the midshaft femur (pilasteric index), and the proximal femur just distal to the lesser trochanter (platymeric index) (Martin, 1928). Although all of these indices are purportedly derived from breadths measured in A-P and M-L planes, in practice it is likely that the measurements for the two tibia1 indices and the platymeric index of the femur are actually often taken as maximurn and minimum breadths close to the true A-P and rvl-L planes rather than actually in these planes. Therefore, these indices, as derived by many investigators, may be more analogous to ratios between I,,, and Zmin. Because these three indices are customarily reported as minimum/maximum breadths, i.e., as numbers less than or equal to 1.0, they are inverted here to correspond directly to Z,,,lZ,;,,, and arc indicated as Dn,axID,nl,,. Breadth measurements for the femoral midshaft, or pilastcric index arc more likely to bc taken in or very close to the true A-P and M-L planes of the femur, partly because the linea aspera lies almost directly posterior and makes an obvious landmark for orientation. Therefore, the pilasteric index, D,/D,,, should be directly analogous to the femoral midshaft ZJZ,. ratio. The samples incorporated in these comparisons are listed in Table 4. With the exception of the Eskimo sample (for which there were no reported breadth data) they include all of the samples used in the previous cross-sectional analyses, although not all cross section locations with second moment of area data had available corresponding breadth data. Samples are more fully described in the Appendix. The trend of reduced sexual dimorphism in cross-sectional shape from hunting-gathering through agricultural and industrial subsistence technologies is largely borne out by the external breadth data. The results are particularly striking for the femoral midshaft DaplD,,,t index, in which no overlap between a relatively large number of groups occurs: hunter-gatherers range from 7 to 15%, agriculturalists from 3 to 6%, and industrial SEX DIFFERENCES IN SKELETAL STRLrCTc!RE 10 1 Table 4 Sex differences in external breadth ratios of femoral and tibia1 diaphyses in autopsy and archaeological samples Tihi.1 mid ‘I‘ibia nut. Ohio R. ( 1) ‘I-rnnessee R. Georgia ,JapatW I_‘.%. \yhite(3) Ohio R. (1 ) Trnnessee R. U.S. \Vhiw (3) .4ustralian Ohio R. il ) Ohio R. (2) l‘rnnrssre R. Gwrgia Stw’ k\lcxico ,Japam?sc Peco, British ( I, 3) Y.S. \Vhitc (I) 1’.S. Cl’hitc (2) OhioR. (I) ‘l‘ennessce R. Grorgia New Mexico British (2, 3) 143 1.60 I.17 1.18 1.20 1.17 1.17 1.18 1.21 1.16 1 .ZJ --:i 1.27 1.34 -5 1.36 1.32 3 1.03 1.10 -b 1.29 I47 145 I fJ8 I.32 I.51 I .08 1.08 1.1 I 1.04 1 TJY I.09 I 48 148 1.57 1 ,.5’ 1+,1 1 .h(J 1.17 I.1 I I.10 I.14 1.10 1.28 1.29 1 .?Y 1.06 1.2i I.06 1 .OY 1.11 I .0-1 1.19 1 SIT Appendix Ior- provenance of samples; Ohio R. , I): \Vebh Cy hug I 1Yljl: Ohio R. (2): Perzigtan P/ rti. I 1984 I: British ( 1): Krnnrd) (1985); British (2): Parsow (191 1): British 13): Holthy (1917); U.S. \Vhitv f I j’ Kull rt 01. I 1986); U.S. LVhitt (2): presrnt study. Terry collection: I1.S. \Vhilc (3): Hrdlicka (1898). ’ [(~lalr-Ftmalf)/Frmairj X 100. period groups from - 1 to 1% sexual dimorphism. As noted above, this is also the cross section in which the orientation of breadth measurements is most likely to be directly X-P and M-L, and thus most consistently measured within and between groups. The results for the mid-proximal tibia1 section Dmas/Dmin index show a similar consistent temporal trend. Every paired temporal sequence for these two sections shows a decline from earlier to later samples. The tibia1 midshaft section index is somewhat less consistent, although there is a definite trend towards a reduction in sexual dimorphism through time over all groups. The presence of overlap between categories and the slight increase in sexual dimorphism between the first two categories in the Tennessee River valley and Georgia coast samples for this section may be due to greater measurement error at this location, i.e., variation in actual planes of’measurement (A-P/M-L versus maximum/minimum breadths). As with the earlier cross-sectional data, the results for the proximal femoral diaphysis do ‘1’ ‘y Ij R Dap /%7l I_ 15 2 9 8 0 c 1 10 $ E z 0 B i 2 5 ; s ki a l-l “_________8____-__--__-_~_ o I I I I I I H-G AG IND H-G AG IND (4) 14) (2) (7) (7) (4) Subsrstence technology Figure 4. Sexual dimorphism in two measures of relative A-P/M-L bending strength of the femoral midshaft in three broad subsistence categories. Total ranges and median values of sample means are plotted. IX/J,: ratio of second moment of area about x (M-L) axis to that about-v (A-P) axis; D.plD,,: ratio of A-P external diameter to M-L external diameter. Percrnt sex difference: [(Male-Female)/Female] X 100. H-G: hunting-gathering; AG: agricultural; IND: industrial. Numbers in parentheses indicate number ofpopulation samples included in each category. See Tables 3 and 4 and text for provenance of samples. not strongly support a temporal decline in sexual dimorphism in this skeletal area. Again, like second moment of area ratios, with the exception of the Georgia coast preagricultural sample, females show consistently greater D,;,,lD,i” indices in the proximal femur than males over all groups. There is also a suggestion of a reduction in sexual dimorphism between hunter-gatherers and agriculturalists in this index, except on the Georgia coast. Changes in the degree of sexual dimorphism in both external diameter (D,,lD,l) and corresponding second moment of area (I,/!,) ratios at the femoral midshaft are illustrated graphically in Figure 4. To reduce the effect of extreme outliers, medians rather than means are indicated along with the total ranges of subsistence groups (use of mean values increases the difference between groups). The steady decline through time of sex differences in both indices and the lack of significant overlap between subsistence categories is readily apparent. Thus, regardless of the particular population samples included or measurement techniques applied, the results clearly indicate that sexual dimorphism in relative A-P/M-L bending strength in the mid-femur (and proximal tibia-Tables 3, 4) is reduced in successive broad stages of subsistence technology. External breadth ratios-upper and Middle Paleolithic To add temporal depth to the analysis, as well as to test the association between skeletal morphology and subsistence economy in even more remotely related human populations, SEX DIFFERENCES II% SKELETAL STRUCTURE 403 Table 5 Sex differences in external breadth ratios of the femoral diaphysis in early H. s. sapiens (Upper Paleolithic) and Neanderthals (Middle Paleolithic) Group” Midshaft DJD,,,,’ Subtroch. D,,,,lD,,,,’ Male Fumble (M-F)IF Male Femalr (Xl-Fl/l: CR) (n) x 100 (ni (n) x I(10 Earl\ N. 5. tapirns I.180 1.077 112) 17) Neanderthal 1,014 0938 (9) (1-j ’ Properties as in ‘l‘able 4. J SIT Appendix for provenance ofsamples. 9.6 1~363 I.370 -Il.> 11.51 161 8.1 I.219 I.282 -.k’) 17) 14) data for a series of femoral specimens from the Upper and Middle Paleolithic were examined (Table 5). As in the previous analysis, breadth ratios for the femoral midshaft (pilasteric index) and subtrochanteric region (platymeric index) were compared in male and female specimens. All osteometric data and taxonomic and sex assignments are takenfrom Trinkaus (1976, 1983 and personal communication). Neanderthal (Middle Paleolithic) and early Homo sapiens sapiens (Upper Paleolithic) samples were analyzed separately; sample sizes range from four Neanderthal females to 15 early H. s. sapiens males (suhtrochanteric section). Individual specimens included in each comparison arc listed in the .-\ppcndix. Sex comparisons were carried out for various combinations of specimens: only those with pelvic determinations of sex, with and without specimens of questionable sex assignment, and with and without Middle Eastern specimens. Since every type of comparison yielded essentially the same results, findings for the pool of all available specimens, including those with less certain sex assignment, arc presented in Table 5. Both Neanderthals and early H. s. sapiens show the same basic pattern of sex differences in femoral cross-sectional geometry as recent human populations. Males are relatively broader in the A-P plane at midshaft, with average percentage differences between the sexes in A-P/M-L breadth of 9.6% in early H. s. sapiens and 8.1% in Neanderthals. These figures are closr to the median values for the same index in recent hunter-gatherers (Figure 1). Early H. s. sapiens females have relatively greater maximum (“M-L”) subtrochantrric breadths than males on average in each group, although the two sexes are almost equal in this index in early H. s. sapiens. Again the average 1 to 5% greater value for females at this location is similar to that found in recent human populations (Table 4). Thus, patterns of sexual dimorphism in lower limb bone structure demonstrated for modern humans appear to be characteristic of earlier Homo sapiens population samples as well. These earlier samples are most similar to modern hunter-gatherers, with whom, of course. they share the greatest similarity in subsistence technology. Discussion Temporal trends in lower limb bone cross-sectional geometry Sex differences in femoral and tibia1 external breadth indices have been previously noted by several authors. Interestingly, in some studies which included only autopsy material from modern Euro-American populations, sex differences were noted in only the femoral suhtrochanteric region (females more “A-P“ flattened) and not the femoral midshaft or 404 C:. RI.I;F tibia (Hrdlicka, 1898; Parsons, 1914; Holtby, 1917). T‘his is consistcttt with results of the present study, in which sexual dimorphism in cross-sectional shape of mid-femur and tibia is greatly reduced in “industrial” period samples: while the subtrochanteric rc,gion shows little decline in sexual dimorphism through different subsistence categories. ‘l‘hr largest compilations of data relevant to the present study arc those of Pearson & Bell (1919) and Martin (1928), and both support the general findings of this study. Martin, in particular, noted that in most of his population samples (which included many archaeological samples) females had rounder cross sections in the midshaft femur and proximal tibia, and males were rounder in the proximal femoral diaphysis (1928, pp. 1136, 1139, 1158). Hrdlicka also noted a similar trend in the midshaft femur among several large autopsy and archaeological samples, although this argument was based on a typological rather than osteometric approach (19346, p. 157). None ofthese authors, however, identified temporal trends in sexual dimorphism or attempted to provide a mechanical basis for these differences. Temporal trends in cross-sectional shape of the lower limb bones in populations as n whole have been noted previously by various authors (e.g., Buxton, 1938; Lovejoy, 1970; Brothwell, 1972; Lovejoy et al., 1976; Ruff & Hayes, 1983a). Recent Euro-American populations tend to have rounder diaphyscs at all levels than earlier or preindustrial populations, probably a result of relatively reduced and more generalized mechanical loadings of the lower limb (Lovejoy et al., 1976: Ruff & Hayes, 1983n). To further evaluate temporal differences in the present sample, the midshaft femur shape indices of Figure 4---1,/I, and DnplDmr are replotted for each sex separately within each subsistence category in Figure 5. As expected given earlier results, the difference between male and female median values steadily declines from hunting-gathering through industrial groups. There is also successively less overlap between male and female ranges, from no overlap in hunter-gatherers to almost complete overlap in the industrial period. It is also apparent from Figure 5 that males show a much stronger temporal decrease in both ZJJy and D,,/D,l than females. The largest decrease in males occurs between the hunting-gathering and agricultural periods, with almost complete nonoverlap between groups. Females also show some decrease in median values between these groups, but the hunting-gathering range is completely encompassed by the agricultural range. Males show little change in either index between agricultural and industrial periods, although the D,,/D,l median continues to decline. Females actually increase in the median value ofZ,/Z, between the last two periods, although they show essentially no change in DOp/D,~ medians and the ranges for both indices are again almost totally overlapping. Some of the variation in median values between the last two groups may be due to sampling error because of the small number of industrial samples, particularly for IV/J,, (fr = 2). Taken as a whole, the data in Figure 5 suggest that the previously documented general temporal increase among populations in diaphyseal circularity (decrease in the present shape ratios) has actually been restricted primarily to males, at least in the femoral midshaft. This observation cannot be verified at other cross section locations, where data are unfortunately much more limited (Tables 3, 4) and techniques of measurement arc more variable, as discussed earlier. However, results for the femoral midshaft. by far the best represented section, indicate that females show no large changes in cross-sectional shape through time, while males become significantly more circular, particularly between hunting-gathering and agricultural periods. Stated in terms of mechanical loadings, it appears that relative A-P/M-I, loading of the lower limb has dcclinrd more through time SEX DIFFERENCES IN SKELETAL STRL’T(:TI-RF: ‘105 I ,5 - 1.4- I ,3- .% ‘.. .* I.2 t I I.1 1 d ,.,I H-G AG IND H-G IND (4) (4) (2) (7) (4) - 1. I ., -I. - I., - I.1 - 1.1 25 20 15 c? .\ 3 Q IO 05 00 Subslsience technology Fiqure 5. Male and female values for two measures ofrelative i\-Plhl-I. bending strength ofthe femoral midshaft in three subsistence categories. Total ranges and mrdian values of xx-specific sample means arr plotted. Symbols as in Figure 4. in males than in females. A similar conclusion was also reached based on the morr complete analysis of the Pecos-modern U.S. sample differences. The Upper Paleolithic sample means for femoral midshaft DaplDml fall exactly on the corresponding median values for recent male and female hunting-gathering samples (Table 5, Figure 5). Thus, it is apparent that Upper Paleolithic populations were, at least in this regard, essentially indistinguishable from recent hunter-gatherers, i.e., that little change in relative A-P/M-L lower limb bone loadings or sexual dimorphism in loadings occurred until the development of agriculture. The Neanderthal sample as a whole differs significantly from all other samples in this property, with much lower values for femoral midshaft indices in both sexes(Table 5; P < 0.05, l-tests. combined or within-sex comparisons with Upper Paleolithic samplcj. This difference may reflect fundamental structural and functional alterations of the skeleton in this group (Trinkaus, 1976). It is significant, however, that even with this basic difference in structure, .rexual dimorphism in cross-sectional shape among Neanderthals is very similar to that of Upper Paleolithic and recent hunter-gathcrcr samples (Table 5, Figure 4). Increawd mobili[y and anteroposterior bending of the lower limb It has been assumed here, based on a previous interpretation of male-female behavioral differencrs at Pecos Pueblo (Ruff & Hayes, 1983a), that increased running and long distance travel over uneven surfaces will lead preferentially to increased A-P bending loads in the region near the knee joint. The evidence in support of this assertion deiives from 406 c:. KrFk several sources, including both experimental and thcorctical analvsrs of lower limb bone. loadings. Human strain gage data analyzed by Lanyon et al. (1975) and Carter (1978) indicate that bending stresses in the tibia increase greatly from walking to jogging. Minns PI ~1,‘s (1977) theoretical study of stresses during walking indicate that maximum A-P bending stresses in the tibia occur in the proximal half of the diaphysis, near the knee, and it seems likely that this would also be the case during running. Theoretical analyses of lower limb bone loadings under various weight bearing conditions indicate that A-P bending near the knee increases greatly as the knee is flexed and/or the joint center is moved progressively further from the body center of gravity (Pauwcls, 1980; also see Preuschoft, 1970). Both movements occur to a greater degree during running than in walking. The same effect would also occur during climbing or movement over rough surfaces (using only or primarily the lower limbs for support). The large muscles or muscle tendons crossing the knee joint-quadriceps, hamstrings, and gastrocnemius-are capable of generating large A-P bending loads and very little M-L bending of the femur and tibia. All of these muscles become more active during running (Alexander & Vernon, 1975; Mann, 1982), and together with changes in leg to body position create A-P bending moments approximately double those generated during walking (Alexander & Vernon, 1975). Knee flexor/extensor muscles are also much more active during walking on uneven surfaces, such as up and down stairs or ramps (Morrison, 1968, 1969). Conversely, as would be expected, M-L bending about the knee is not significantly affected by knee flexion or relative A-P position of the knee with respect to the body center (Pauwels, 1980). Hip abduction-adduction is very little changed from walking to running (Mann, 1982)) indicating little alteration in relative M-L lower limb position. This is also supported by analysis of ground reaction forces, in which mediolateral shear shows no increase from walking to jogging, while both fore-aft shear and vertical force do increase, vertical force nearly doubling (Mann, 1982; also see Cavanagh & LaFortunc, 1980). Increased speed in walking also leads to an increase in the vertical and fore-aft components of ground reaction force, while the mediolateral component remains essentially unchanged (Rohrle et al., 1984). F inally, soft tissue structures which could transmit significant M-L bending loads about the knee, such as the iliotibial tract and the lateral collateral ligament, tend to become lax during knee flexion (Morrison, 1970; Preuschoft, 1970). Thus, it is apparent from several lines of evidence that A-P bending loads in the region near the knee joint should increase much more than M-L bending loads from slow level walking to running or movement over uneven surfaces. These actions are precisely those which would be expected to show the greatest increase in a lifestyle which included more long distance travel, i.e., greater mobility. A-P/M-L bending near the hip would be expected to show less of a change, because of the relative constancy in position of the hip joint relative to the body center ofgravity and the less marked changes in flexion-extension of the hip during different activities (e.g., Mann, 1982). Sexual division of labor As noted by Frayer in one of the opening quotes of this paper, anthropologists have long been interested in the division of behavior along sex lines. If the preceding analyses are correct, then there should be evidence in the ethnographic literature that behavioral differences between the sexes, in particular differences in relative mobility, decline from SEX DIFFERENCES IN SKELETAL STRI:CTtTRE 407 hunting-gathering to agricultural to industrial societies. Since much ofbehavior is centered around economic roles, this is largely equivalent to testing whether the sexual division of’ tasks requiring different degrees of mobility has been reduced across the three broad subsistence categories examined here. Murdock & Provost (1973) have carried out perhaps the most extensive cross-cultural statistical analysis of the sexual division of labor, including sex allocation of 50 technological activities in 185 societies. Among those activities which are exclusivcl). or usually carried out by males are hunting of large aquatic and land fauna, fowling, trapping of small land fauna, fishing, and herding-all behaviors requiring a relatively high degree of mobility. Activities which are most often carried out by females include gathering and preparation of wild vegetal foods as well as various “camp” activities such as cookin,q and water carrying, none of which require great mobility. Significantly. many “intermediate” activities, not strongly male or female, such as manufacturing of clothing and house and boat building, tend to be performed by females in hunting-gathering and nomadic pastoralist societies, but by males in agricultural societies. Similarly, as agriculture intensifies and craft specialization increases. males more often tend to be assigned othc,r “intermediate” tasks, including soil preparation, crop planting. tending and harvestirla, and pottery making. All of these “intermediate” technological activities require relati\,ci\ little mobility. Thus, two general features of the sexual division of labor in preindustrial societies emerge: (1) tasks that require a high degree of mobility are usually if not cxclusivel>, assigned to males; (2) with increasing dependence on agriculture and technological specialization, males tend to be assigned increasingly more sedentary activities. .I\ discussed by Brown (1970), the allocation of relati\,ely sedentary tasks to females in mosl societies is probably largely determined by the direct and indirect demands ofchild care. lr is true that some almost exclusively male activities, such as metal, wood and stone workin,c (Murdock & Provost, 1973), arc also relatively sedentary, hut if tasks requiring large amounts of time away from the home arc present in the society, they will almost always b(, pcrfbrmed by males. Watanabe (1977) has also prolidcd good illustrations and discussion of the sexual division of labor and differences in relative mobility of the two sexes in the hunting-gathering Ainu and other groups. Therefore, it is apparent from ethnographic observations of living and recent pc~~plc.s that sex diff‘erences in relative mobility are indeed greatest in hunter-gatherers and dcclinc with the adoption and intensification ofagriculture. \Vhilr comparable data are not strict11 available for industrial societies such as the modern U.S.. it is apparent that all sex roles, inclltdingthose involving differing degrees ofmobility, ha1.c been blurred in these cultures. Also. with increasing mechanization, travel over lorlg distances and many other acti\itics can be accomplished without a concomitant incrcasc in physical exertion. Thercforc, it seems intuitively oblrious that sex differences in lower limb loadinqs resulting from acti\.it!, differences tijould he least marked and consistent in industrial societies. Thus. variations in the degree of sexual dimorphism of bone cross-sectional geometry from the mid-femur through the mid-tibia do appear to correspond to real differc%nces in actilitv patterns in the two sexes. Relatively greater A-P bending strength around the knee is associated with relatively greater mobilit!-more frequent tra\.el over greater distances ;111 d more frequent running. The largest decrease in A-P/M-L bending strcnath in this region occurs in males between hunting-aathering and a,qricultural subsistence Wchnolo- Fits i Figure 5). precisely where the greatest relative dccrcasc in long distance travc.1 mighr 408 ,:. KI‘kF be expected. Relatively little o\~all change in AI-l’/hZ-I. bending strcrlgth then occurs i11 the transition to an industrial economy, although avcragc scx diffcr~ncc~a continue to decline (Figure 5). Frayer (1980, 1984) used a similar line of rcasonin,q to explain a rclativc rc-duction through time of sexual dimorphism in stature (as well as dental and cranial dimrnsions) in samples spanning the European Upper Paleolithic, Mesolithic and Neolithic. As in the. present study, he found most of this reduction to be due to grcatcr dcclincs in malt dimensions, which he explained as a response to decreased need for large body size with the development ofmore advanced hunting techniques. His conclusion that “the level ofscxual dimorphism within a population is roughly proportional to the exclusivity ofthc division of labor by sex” ( 1980, p. 399) is also supported by the findings of thr present study. i LTnlikc the results presented here, however, Fraycr found no evidence for a continued drcrcasr in sexual dimorphism from the European Neolithic (i.c., agricultural) to the present da), (i.c.. industrial), and stature for samples as a whole incrcascd over this time period. This is most likely a result of the combined action of both mechanical factors and other en\.ironmcntal influences on general body size. For example, an incrcasc in gcncral nutritional quality, characteristic of the recent history of Europe, may lead to both an increase in body size and an increase in sexual dimorphism in body size (Stini, 1974; Eveleth & Tanner, 1976: Gra)- & Wolfe, 1980). The morphological characteristics cxamincd in the present study should be more sensitive to purely mechanical factors, and thus it would not bc surprising ifthc), reflected changes in activity patterns more accurately than ,general body size. ‘l’hc same explanation applies to measures of general skeletal size (bone length) or “robusticity” (midshaft breadths or circumference divided hy bone length), which do not show clear temporal trends in sexual dimorphism (Trinkaus, 1980). These properties and other measures of bone size may partly reflect the general lcvrl of applied mechanical loadings (Garn el al., 1972), but they do not indicate the !Y~PS of loadings bones arc suhjectcd to in uiuo (also see Ruff ~1 al., 1984). Unlike the skeletal region around the knee, the proximal femoral diaphysis shows no consistent change in sexual dimorphism of cross-sectional shape (Tables 3, 4). hlales arc almost always more circular than females here, i.e., females are adapted for rclativclk greater M-L bending, or more precisely, for greater bending in the antetorsion plane of the femoral neck (Ruff & Hayes, 19836). This is probably best explained as a conscqucncr of relatively wider pelves and greater interacetabular distance among tkmalcs (Van Gcr\,en, 1972; Lovejoy ef al., 1973; Brinckmann e/al., 1981), which should lead to rclativrly grcatcr M-L bending of the proximal femoral diaphysis (based on calculations of relative hip abductor force from data presented in Lovcjoy el al., 1973, and analysts rcportcd t)) Rybicki et al., 1972). The lack of consistent change in sexual dimorphism of proximal femoral shape therefore probably reflects a lack of change in basic structural difrcrcnccs between the sexes related to the requirements of childbirth. Data hearing directly on this issue are relatively scarce, but what information there is suggests that sexual dimorphism in relative pelvic hrcadth does not vary significantly along temporal or suhsistcncc, stratcg:) lines, supporting the hypothesis (Howells (Ir Hotelling. 1936: Young 8r Inca. 1940: Washburn, 1948, 1949; Lovejoy e1 al., 1973; Brinckman e/ (II., 1981 ). Another way in which activity levels can br assessed from skrletal remains is through the incidence of osteoarthritis, or degencrativc joint disease [Jurmain, 1977, 1980; Larsen, s For another virwpoint. sce,Jacobs (1985) SEX DIFFERENCES IN SKEI.b:TAI. STRI’C TI’RF, IO0 1982; Mcrhs, 1983). Variation brtwcen populations in the sex-specific incidcncc ol‘low~~~ liml) osteoarthritis is generally consistent with trends in hone cross-sectional gcomrtr) .Amc)n,g hunting-gathering and agricultural populations males have highrr ittcidcnc,rs 01’ osteoarthritis at almost all major appendicular joints, including those of thr lower liml) Uurmain, 1977. 1980: Larsen, 1982: Mrrbs. 1983). In contrast, modrrn I-IS TZ’hitc and Black samplrs show relatively little sexual dimorphism in incidcttcr ofostc.o~trthritis. with fixmalcs actual11 showing somewhat hightsr frrqucncicx of‘ occurrcncc (Jutmain. I977. 1980). ‘l‘hc corrrspondence bctwcctt subsistence rtratc*g)’ and sexual dimorphism irt ostc’oarthritis is not as strong as in cross-scctirmal gromrtry, howcvrr. Again. like mvasurcs of‘g~~ttcral skclctal size, this is probably due at Icast part]\ to the relative nottspccific,it\ (II’ ostroarthritis bvith regard to ly@r rather than ,gcttcral lrv~ls of mrchanicai loadings. Man!. attalvscs of population diff‘crrnccs in srsual dimorphism have cottcrntratrd ott tlic~tar). rather than mrchanical rxplan;~tions (r.,g., Hatniltott, 1982). \Vhilc. :I> t~otvtl ;I ho\ r, this may hc rrlrvant to general size difIirrrt1cc.s l)ct\\.rrn malrs and limalcs. it ih tlifIic ult to srr how a systemic factor likr dirt could ha\-c. the specific rffi,cts on iocalizc3d bone rrmodrlitq documcntcd hcrr. Skclrtal size and usual dimorphism in sixr \ :tr! sigriificantl~~ amcq thr population samplc4 iticludrd in this study. both Lvithiti and bc.t\vc*c‘tt subsistrttcr lr\.cls. yet srx-rclatrd difti,rrnccs in ~CIIIC shape sho~v rc.trtark;tl)l! consistrtit trc*ticls. ‘1‘ttc association brtwren srxual dimorphism in ac (iLit\, patterns and skclrlal morphol- or, itround the kncr has implications fi)r the. rrconstruction of hrhavior ant, subsisu~rtcc~ stratchg)- in past populations. In populations in which thr suhsistcttcc trchnolo,q or sc~ual division of labor is unknown or uncrrtain, the dcgrcr of‘ scsual dimorphism in rclati\~c A-I’/‘YI-13 cross-srctional dimensions of the mid-li*moral to mid-tibia] diaphysrs pro\ ic1c.s one tttcans of trstitt,? altrrnative hypothcscs. It should h ttotcsd that adrquatc \;tmplitt~ of both s(‘xcs is tic’crssary to carry out such an anal\%--at Ir:ist IO ittdi\4duals of(3(~tt s(‘?i wrrc inc-ludcd in almost all of the samplrs sruclicd hc-rc. ‘T‘hr rc‘sujts of this study also ha\re implications with t-cgarcl to rcchniclurs for drtrrmirtirtg SC’S l?om fi%moral attd tibial diaphysral hrradths or circumfivttcrs (Kimura. I !I/ I : Black. 1978; I)iBcrmardo & ‘Tavlor, 1979, 1982; Iscan& hlillrr-Shai\.itz, 1984; RlacLaughlirt & Bruce,. 198.5; Dittrick & Suchcy, 1986). c’, ariations in tttc. accuracy of‘such tcchttiqurs ha\ (’ hcrtt provisiotiall~~ attributed to srvcral factors. irtcluditt,q ,grttrral mechanical rfli.c.ts (l)iBr~ntiardo & FI‘aylor, 1982; Iscan & Millrr-Shai\,itz. 1984: hlacLaughlitt & Hrurr. 1985). ‘I‘hc rrnults of‘thc prcscnt stud\- suggest that spccilic ntcchanical factors ma!’ c~\;plairt at Irast somr of‘thrsr variations in rr.sults. .A striking li.aturc. ofthosc rrchrtiqucs that lta\.c, ittclttdcd diaphvsral breadths as wrll as circumfivnccs is that ;\-I’ brradth CtJlltritJUtCS ntorc IO discrimination than hl-I. hrcadth (Kimura. 197 1: Dittrick & Sucltr~. l!P~(j: I)iBrnttardo 6: I‘a\~lor. 1982: Iscatt Br hlillrr-Shai\-itz, 1984~. III OIIC stud>. which IW~ otll> th m,Gmum :\-I’ diamctcr of the femoral sltaf’t. a scxittg accuracy of91 % cotttparc~(l to assigttmckttts hascd on traditional nonmrtric prlvic and cranial tncthods \vas obtaittrd. ttighcr, thatt arty othrr rrportrd figurrs (hlacl,aughlitt & Bruce. l!j85). l‘hc rc.sults of‘thr prrscrtt study indicatr that A-l’ breadth ofrhc mid-li>mur to mid-tilJi;r is ;I b(,ttc~t- discrimittator of srx than ,21-I, hrcadth I~wausr malts tcttd to h;t\.(. grc~atc~r .&P/XI-I. brradttt ratios than frmalrs in this akcl(,tal rcqiott. rJ‘tlus. sitter rnal~~ ;~r(’ generally larger than fcmalcs, hl-L hrcadths v, ill tend to overlap hctwcen the sixes ~I(III’ than A-P breadths. The relatively greater A-P breadth of the micl-fi~mur in males is 1101 caused simply by greater development of the muscle attachment areas on the linea asp(‘ra (MacLaughlin & Bruce, 1985), since a similar sex diffrrcncc in shape is also characteristic in regions without the linea aspera, i.e., from the distal femur through the mid-tibia (Figurt 3). Rather, greater mobility of males and consequent higher A-P bending loads in the region near the knee arc prohahlv responsible for this sex difference, as discussed carlicr. Thus, variations in the accuracy of sex discrimination between difrerrnt samp1t.s ma! reflect at least partly the dc,yrcc of sexual dimorphism in activity patterns in thosc~ populations. For example, A-P diamctcr of the mid-femur may more clearI\, aid sex discrimination in archaeological samples ( AlacLaughlin & Bruce, 1985; IXttrick & Suchcy, 1986) because of temporal/subsistence strategy differences in sexual dimorphism (Figure 4). Any future attempt to employ thcsc methods in sex determination should take into account these population diffcrcnces in behavior. The present results also suggest that the inclusion of A-P/M-L, ratios along with bone “size” metric-s. e.g., circumti,rcncc, and length, might improve the accuracy of resulting sex discriminant functions> dcpcndcnt. OI course, on the particular sample anal!-zcd. Summary and conclusions A renewed emphasis on function and shape-related rather than simply size-related characteristics in the analysis of sex differences in skeletal structure has been called for b! several investigators (Van Gervcn, 1972; Armclagos et al., 1982; DiBrnnardo & ‘Taylor, 1982). The present study illustrates one way in which a biomrchanical approach, stressing behavioral reconstruction, can be used to contribute some new insights into this arca 01 research. This study also shows that long hone diaphyseal form, sometimes overlooked or de-emphasized in functional investigations (e.g., in favor of articulation surface morphology) may in fact contain important information regarding past mechanical loading history and thus behavioral patterns. Also, it should be stressed that bvhilc engineering theory provides a framework in which to interpret such variations in fhrm, the general concepts and approach involved here are more critical than the relatively more complex calculation ofspecific engineering properties such as second moments ofarea. For example, in the present study, once a basic functional hypothesis was established based on comparisons of engineering properties, it was possible to test the hypothesis using data obtained from simpler and more widely available techniques of measurement. It is anticipated that this general approach will be applicable to several related questions in hominid evolution extending beyond the analysis of sex differrnccs. The study began with a detailed comparison of sexual dimorphism in cross-sectional geometric parameters at 10 femoral and tibia1 locations in two samples: a late prehistoric archaeological sample from Pccos Pueblo, New hlcxico, and a modern U.S. White sample. Sex differences in relative A-P/M-L bending strength were found to be marked in sections from the mid-femur to the mid-tibia in the Pecos sample, with males shelving relative11 greater A-P bending strength. This sex difference was greatly reduced in the U.S. LVhitc sample. Females showed relatively greater hl-I, bending strength in the proximal femoral diaphysis in both samples. Comparison of similar cross-sectional geometric properties in other population samples showed that the Pccos-U.S. \l:hite difference in sesual dimorphism in the region around the knee was part of a general trend spanning SEX DIFFERENCES IiY SKELETAL STRI’(:TYRE 411 hunting-gathering, agricultural, and industrial subsistence strategies. This trend vqas confirmed in a larger sample of populations using less exact external breadth ratio measurements. Finally, lower limb bone external breadth ratios avrailable for Keandcrthal and Upper Paleolithic samples were compared with the recent samples. Results were then interpreted in light of functional anatomical and ethnographic information available for livin,g humans. Together these findings lead to the following conclusions: ( I ) Sexual dimorphism in cross-sectional shape of the femur and tibia is characteristic of’ a wide variety of human populations, from the Middle Paleolithic through living peoples. The strongest difference between the sexes occurs in the region near the knee, where males tend to have relatively more bone distributed in the antcroposterior plane. This is probably caused by relatively greater mobility and more frequent running among malts, M,hich should create higher A-P bending loadings in this area. A less marked tendency for females to have rclativeiy more bone distributed in the principal plane of bending (near the mcdiolatcral plane) of the proximal femoral diaphysis is most likely a result of sexual dimorphism in pelvic breadth, with greater intcracetabular distance among females creating relatively higher M-L bending loads in the proximal femoral diaphysis. (2) There is a consistent systematic variation between populations in the degree ofscxual dimorphism in bone shape around the knee which is related to subsistence strategy. Hunting-gathering populations show the greatest sexual dimorphism here, agricultural populations an intermediate level, and industrial societies the least sexual dimorphism. This corresponds to a similar reduction in the sexual div-ision of labor through these three I~~rls of subsistence technology. .A concurrent general world-wide trend towards >grcatcr diaphyseal circularity in the lower limb is primarily a result of changes in bone shape in males, who have also undergone the largest changes in mobility and activity types with shifts in subsistence strategy. There is little systematic difl‘crcncc between populations in sexual dimorphism near the hip, probably because the basic requirements ofchildbirth do not \‘:iry si,gnificantly. (3) Early Homo sapiens sapiens samples arc essentially indistinguishable from modern hunter-gatherers in both femoral and tibia1 shape and sexual dimorphism inshape. Srandcrthals are different in basic shape, but are very similar with regard to sexual dimorphism in shape. Thus, sexual division of labor, at least with regard to relative mobility. appears to have been similar to modern hunter-gatherers at least as f:lr bac,k as the hliddle Paleolithic. (4) ‘Techniques for the assessment of sex from lower limb skeletal remains should consider these systematic population differences. Inch~sion ol’a shape index in addition to size measures may aid in discrimination between the sexes. Acknowledgements The collection of data for the Pccos and part of the modern LT.S. population samples v~as carried out in collaboration with Dr LVilson C. Hayes in the Orthopacdic Biomechanics L.iboratory, Beth Israel Hospital, Boston. I would like to thank Dr Erik Trinkaus for providing data on the Neanderthal and early Homo sapiens sapiens samples, Dr Clark Larsen for providin,g useful reprints, and Dr Larsen, Dr Patricia Bridges, Dr David Burr, and anonymous reviewers for offering helpful comments on the manuscript. Supported in part by NIH grants #.4MO7112, #AGO4809 and a research grant from Howmedica, Inc. References SEX DIFFERENCES In- SKELETAI. STR17CTI’RE 4 I 3 Jungcrs. W. I,. & hlinns, R. J. (1979). Computed tomography and hiomcchnnical analysis of fossil Ione hontx. An. ,/. phys. .4nthrop. 50, 285-290. Jurmain, R. D. (1977). Stress and the etiology of osteoarthritis. Am. J. /I&J. .4nthrop. 46, 333-366. Jurmain. R. I). (1980). The pattrrn of involvcmenr of appcndirular dcg-cnuativc joint dcsrasc. .iw ,/. phv~. .+l,,throp., 53, 143-150. Kcnnrdy, <:. E. ( 1085). Bonr thickness in Homo vrwtus. _/. hum. Em/. 14. 69%708. Kimura, I’. (1971 )_ Srx determination on thr cross-action of human lo\vrr Icq hone. ,]u,b. ,/. Lqal .IJpd. 25, 13 I- -138. tiimura. ‘I‘. Cyr ‘l‘akahashi. H. (1982). Mechanical prcl1)crtic.h r~f cross wrtion ~~I‘lou~~r limh long bone\ 111,Jomot~ m,m. ,/. anthrop. Sec. :Vippon 90, 105-l 17. Kotani, 1’. ( 1981). Evidencr of plant cultivation in Jomon Japan: Some m~plicarions. In (‘1‘. L’mcsn~~. Ed. I hn Ethnolo,@cnl Studier, pp. 201-212. Osaka: National Lluseum of Ethnology. Laqun, I.. E. (1982). Mechanical function and hone rcmodrlinq. In iG. Sumwr-Smith. Ed. I Hone in f.Ym~coI Orthopnedirr, pp. 273-304. Philadelphia: Saunders. I.xn)on. I.. E.. Hampson, W. C.J., Goodship. A. E. & Shah.,J. S. ( 19751. Bone drformation rrcordrrl in 1 i\o li.om strb gauges attached to the human tibia1 shaft. A& orthop. mnd. 46, 2.5f%268. Larsrn, <:. S. i 1982). The anthropology of St. Cathrrines Irland. 3. Prehistoric human hioloyic-‘11 A~ptatwn .4rt/hrop. f’ap. Am. Mur. nat. Hi.ct. 57, 159-270. I.ovcI~~. C. 0. (19701. Biomrchanical mrthods for thr analysis of skcle*tal variation with an applicdtiou b\ u~rnparison of thv theoretical diaphyscal strrngth ol’platycntmi( and vuricncmic tihiaa. Thesis. I’ni\cr\it\ qji’ .LI;iasachusetts. I.ovrj~~~, C. 0.. Burstrin. .I\. H. & Heiplr, K. G. i 1976). ‘l’hc hiomechanical analvsis ol’honc str-rnqth: .1 mr~thwl and Its application to platycncmia. Am. J. p&s. .inth,op. 44, 489-X6. I.mqrr)-. CZ. 0.. Hriplr. K. G. & Burstcin, .4. H. i l’Ji?i. ‘l‘hr gait of.~\ustralr~pithccus. .im. ,/. ,@I\. :lnthr~~p. 38, 7.5;-780. Lr~vcjoy. (:. <I., hlwsforth. R. P. & Armelagos, G. J. i 19821. Fi1.r drradrs ofskrletal hi&q as rrllrctrti in the, ‘;\ mcrlcan .Journal ~rf Physical Anthropology. In (F Spencu. Ed. I .l Ifi\by a/ .-lmenmn &hrc~c~~/ .-lnthrop~dq~. /W/L/!&?U. pp. 32%336. Nrw York: Academic Press .tfacI,au~hlin. S. 51. & Bruce, 51. F. (1985). A simple uni\.aritr trchni(luc tbr detrrmininq WY fr<lrn fraqrn~~rltar~ fcmura: Its applicatiun to a Scottish short cist population. Am. J. ph+\. .Whrop. 67, 113--117. .\lann. R. A. (lSR2i. Biomcchanicsofrunning. In (R. P. X\lack. Ed.) Th~L;lotnn(fI.rernRunnirrq.Sp~~rtl. pr~ I 2’1. 51. Lollis: Lioshy. Xlartin. R. f 19%). Lehrbuch der .dnthropolqle. German): Fischrr. Martin. R. H. & htkinsun, P. J. (1977). Agr and sex-wlatrd chanqcs in the structurr and strenqth Irftht, IIII~~II fcm<lral shalt. ,/. B~omech. 10, 223-231. .\lmns. R ,J., Brcmhlr,, CJ. R. Cu (:amphrll.~J. (1077). A hiomcchanic.tl studyrll.intcrnal liution ofth~ tibi.ll Alli ,]. Hmrwch. 10, 569-~‘,79. .\lorl-ivm. .J. B. ( 196!)). Function of the kneejomt in v;wious acti\,ities. Hiorned. Lqn,q. 4, 571%iH0. Xlorrivm. J. B. ( 19701. ‘lk mechanics of thr knee joint in wlatiun to normal walking-. ,/. Biomerh. 3, i I -6 I. Alurtlock. G. P. & Provost. (1. i 1973). Factors in thr division of labor h! WI: A cn,ss-cultural analysis. Ethnoio~~ 12, _‘1%225. P~~rwn~. I‘. (;. 1191 41 ‘l‘hc characters of the English ttliqh-honr. .im. ,J. phvl. :lnthrop. 48, 2X-267. I’.~r~wcl\, I,>. (19801. Principles of construction of the lo\\w rstrcmtty. ‘I‘hrir significancr fix the strrssinq 111thr \kclvr~~rl of the ICC. In (F. Pauwels, Ed.) Biomrhanicr I)[’ thr I,ommotor _ippnratur., pp. 193~201. Berlin: Sprirlqcr-\‘rrlaq. 414 (:. RUFF Ruff, C. B. & Hayes, W. C. (19836). Cross-sectional geometry of Prcos Pueblo femora and ribl.u-~ ,I hiomechanical investigation. II. Sex, agr. and side difircnces. aim. J. phyr. dnthrop. 60, 383-400. Ruff, C. B. & Hayes. b$‘. C. (in press). Srx differences in age-rrlatcd remodeling ofrhc femur and tibia. ,I. O&~/J RCS. RUE, C. B. Hayes, W. C. & Lotz, J. (1986). Sex differrnces in age-related remodeling ofthc femur and tibia. 7;-nns. Orth@. Res. SIX. 11 434. Ruff, C. B., Larson, C. S. & Hayes, W. C. (1984). Structural changes in the femur with the transition trr agriculture on the Georgia coast. Am. J. phy~. Anthrop. 64, 125-136. Rybicki. E. F., Simonen, F. A. & Weis, E. B. Jr. (1972). On the mathematical analysis of stress in thr human femur. J. Biomech. 5, 203-215. Stini, W. A. (1974). Adaptive strategies ofhuman populations under nutritional stress. In (F. E.,Johnston & E. 5. Watts, Eds) &social Interrelations in Pq%ulalion Adapfation, pp. 19-40. The Hague: Moutan. Timoshenko, S. P. & Gere, J. M. (1972). Mechnnicr oflciatenafs. New York: Van Nostrand Reinhold. Trinkaus, E. (1976). The evolution ofthe hominid femoral diaphysis during the Upper Pleistocene in Europe and the Near East. 2. Morph. Anthrop. 67, 291-319. Trinkaus, E. (1980). Sexual differences in Neanderthal limb bones. J. hum. Glob. 9, 377-397. Trinkaus, E. (1983). The Shanidar Neandertals. New York: Academic Press. Van Gerven, D. P. (1972). Contribution of sizr and shape variations to patterns of srxual dimorphism of the human femur. Am. J. phys. Anthrop. 37, 49-60. Washburn, S. L. (1948). Sex differences in the pubic bone. Am. J #bps. Anthrop. 6, 199-207. Washburn, S. I.. (1949). Srx diffewnccs in the pubic bone of Bantu and Bushman. Am. ,/. ph_w. Anthrop. 7, 424-432. Watanabe, H. (1977). The human activity system and its spatiotemporal structure. In (H. Watanabe. Ed.) Human Actiuicv $wtem: Its Spatiokmporal Structure, pp. 3-39. Tokyo: University of Tokyo Press. Webb, W. S. & Snow, C. E. (1945). The Adena people. l:nw. Ken. Rep. Anthrop. ilrch. 6. Young, M. & Ince, ,J. G. H. (1940). A radiographic comparison of the male and female pelvis. ,/. Ana!. 74, 374-385. Appendix. Samples used in the study Cross-sectional geometric samples The categorization of samples in Table 3 by major subsistence technology follows that of the investigators themselves. In the samples from western New Mexico, properties of the hunting-gathering group are means of the data reported for “Early Villages” and “Abandonments” periods (A.D. 500-l 300)) while the agricultural group corresponds to the “Aggregated Villages” period (A.D. 1300-1540) of th’ 1s region (Cordell, 1984; Brock, 1985; Brock & Ruff, in press). Although some agriculture was practiced during Early Villages and Abandonments,
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