Pubis growth study: applicability in sexual and age diagnostic

The growth of five variables of the ischiopubic area was analyzed from bone material from birth to old age. The main purpose was to evaluate its significance and capacity for age and sex determination during and after growth. The material used consisted of 327 specimens from four documented Western European collections. Growth curves were calculated by polynomial regression for two classical variables of the ischiopubic area (pubis length and ischiopubic index) and three new variables of the pubic acetabular area (horizontal and vertical diameter of the pubic acetabular area and the pubic acetabular index). None of the curves showed lineal growth, with the exception of the ischiopubic index and the masculine vertical diameter of the pubis acetabular area. Pubis length has the most complicated growth, expressed by a five-degree polynomial. All the variables are useful for adult sex determination, except the pubic acetabular index. The ischopubic index, vertical diameter of the pubic acetabular area and the pubic acetabular index seem to be good variables for sub-adult sex determination. For age estimation the best variables, in both archaeological and forensic remains, are the absolute measurements (pubic length, vertical and horizontal diameter of the pubis). However, pubis length is the best variable for age estimation because it can be applied until 25 years of age.     

Ilium growth study: applicability in sex and age diagnosis

The use of coxal elements for age and sex diagnosis from the skeleton is the primary and most widespread way of bringing us closer to the identity of dead individuals in archaeological and certain forensic scenarios. Diagnosis in sub-adults, especially in fetus and infant age, is not clear; and further studies are needed. This work presents the analysis of the growth of six variables in the ilium, from birth to 97 years of age, in order to evaluate its significance and its capacity for age and sex determination during and after growth. The materials used were 327 specimens from four documented Western European collections. Growth curves were calculated for the three classical variables of the ilium (width, length and index) and three new variables of the acetabulum area (horizontal and vertical diameter of the ilium acetabular surface and the ilium acetabular index). None of the curves showed a lineal growth, except those of the horizontal diameter of the ilium acetabular surface for the male series. The ilium width has the most complicated growth and it is explained by a four-degree polynomial. All the variables studied can be useful for adult sex discrimination with the exception of the ilium width and ilium acetabular index. Furthermore, the most useful variables for subadult and adult age estimation in archaeological samples, as well as in forensic samples, are the absolute measurements (ilium length and width, horizontal and vertical diameter of the ilium acetabular surface); however, the ilium width is the best variable, as this can be applied to all growth ages using both sexual series together up to 20 years of age.     

Development of the femur--implications for age and sex determination

Growth of four variables of the femur (diapyseal length, diaphyseal length plus distal epiphysis, maximum length and vertical diameter of the head) was analyzed by polynomial regression for the purpose of evaluating its significance and capacity for age and sex determination throughout the entire life continuum. Materials included in analysis consisted of 346 specimens ranging from birth to 97 years of age from five documented osteological collections of Western European descent. Linear growth was displayed by each of the four variables. Significant sexual dimorphism was identified in two of the femoral measurements, including maximum length and vertical diameter of the head, from age 15 onward. These results indicate that the two variables may be of use in the determination of sex in sex determination from that age onward. Strong correlation coefficients were identified between femoral size and age for each of the four metric variables. These results indicate that any of the femoral measurements is likely to serve as a useful source to estimate sub-adult age in both archaeological and forensic samples.     

Postnatal ontogenesis of the tibia. Implications for age and sex estimation

The growth of five variables of the tibia (diaphyseal length, diaphyseal length plus distal epiphysis, condylo-malleolar length, sagittal diameter of the proximal epiphysis, maximum breadth of the distal epiphysis) were analysed using polynomial regression in order to evaluate their significance and capacity for age and sex determination during and after growth. Data were collected from 181 (90♂ and 91♀) individuals ranging from birth to 25 years of age and belonging to three documented collections from Western Europe. Results indicate that all five variables exhibit linear behaviour during growth, which can be expressed by a first-degree polynomial function. Sexual significant differences were observed from age 15 onward in the two epiphysis measurements and condylo-malleolar length, suggesting that these three variables could be useful for sex determination in individuals older than 15 years. Strong correlation coefficients were identified between the five tibial variables and age. These results indicate that any of the studied tibial measurements is likely to serve as a useful source for estimating sub-adult age in both archaeological and forensic samples.     

Determination of sex with a discriminant analysis of new pelvic bone measurements: Part II

The pelves of 100 white skeletons were measured on both sides for the following: (1) length from the superiormost aspect of the pubic symphysis to the nearest rim of the acetabulum (PS-A), (2) length from the highest point of the pubic tubercle to the nearest rim of the acetabulum (PT-A), (3) acetabular diameter (AD), (4) the vertical distance from the anterior aspect of the ischial tuberosity to the farthest rim of the acetabulum (IT-A), and (5) greatest femur head diameter. From these, three indices were derived: AD/PS-A (acetabulum/pubis index), AD/PT-A (acetabular diameter/pubic tubercle-acetabular rim index), and IT-A/PS-A (ischium-acetabulum height/pubic symphysis-acetabular rim index). The left AD/PS-A ratio and left IT-A height proved statistically to be of greatest discriminating value. Using these two variables, a discriminant function was derived which correctly separated 98% of our sample. The acetabulum/pubis ratio alone correctly assigned 95%. With either the discriminant function analysis of two variables or the acetabulum/pubis index as a single predictor, 97% of our sample of known sex was correctly identified if all specimens that fell within a doubtful or overlapping range of values were sorted by femur head diameter.     

The determination of male adult age at death by central and posterior coxal analysis--a preliminary study

In forensic anthropological analysis, the pelvis is of particular interest as it is often a comparatively well-preserved part of the skeleton. This study in age determination uses the acetabulum, the central element of the pelvis, as a complement to the examination of the auricular surface. The test sample consisted of 30 individuals. First, the authors studied the auricular surface using the Lovejoy criteria. Second, they isolated four criteria based on chronological changes in the acetabulum. Third, they conducted an evaluation of each of these variables. The study examines the correlation between these criteria and the age of the individuals. A significant correlation was found between the acetabular criteria and age, and between the acetabular criteria and the Lovejoy criteria of the auricular surface. For forensic purposes, the acetabulum is an effective predictor in the determination of age. This newly proposed method explores the same criteria of ageing as the Lovejoy method. The combination of the two methods produces relatively consistent results in the estimation of age.     

Using the acetabulum to estimate age at death of adult males

The acetabular region is often present and adequately preserved in adult human skeletal remains. Close morphological examination of the 242 left male os coxae from the identified collection of Coimbra (Portugal) has enabled the recognition of seven variables that can be used to estimate age at death. This paper describes these variables and argues their appropriateness by analyzing the correlation between these criteria and the age, the intra- and interobserver consistence, and the accuracy in age prediction using Bayesian inference to estimate age of identified specimens. Results show significant close correlation between the acetabular criteria and age, nonsignificant differences in intra- and interobserver test, and 89% accuracy in Bayes prediction. Obtained estimated age of the specimens had similar accuracy in all ages. These results indicate that these seven variables, based on the acetabular area, are potentially useful to estimate age at death for adult specimens.     

Validation of the Acetabulum As a Skeletal Indicator of Age at Death in Modern European‐Americans,

Progressive changes in the acetabulum have been used in modern skeletal age estimation, but they have not been completely understood. If their age correlations are weakened by the influence of factors like physical activity and obesity, acetabular changes should not be used for age estimation. To investigate their utility for aging, the acetabular variables of Rissech et al. (2006) were analyzed in 409 modern European‐Americans (Bass Collection, Tennessee). Correlation tests assessed potential associations between acetabular data, osteoarthritis scores (collected per Jurmain, 1990), and documented demographic information (age, body mass index [BMI], metabolic intensity of physical activities). Acetabular changes had statistically significant, positive correlations with osteoarthritis (p < 0.001 in most joints/regions) and age (p < 0.001), indicating their degenerative nature and relevance for age estimation. Acetabular changes showed no associations with BMI or metabolic values, suggesting resistance to obesity and activity effects. These results suggest that acetabular degeneration is a valid skeletal age‐at‐death indicator.     

Sex determination of Chinese femur by discriminant function

The objective of this study was to provide a method of sex determination for Chinese femur, especially for fragmentary remains. Statistical analysis of 17 measurements based on 141 northeastern Chinese femora shows that all measurements have significant sex differences. Sex determination by the midpoint method of a single measurement can obtain an average accuracy of 76.8%. The results indicate that of all dimensions the maximum head diameter is the best discriminator of sex. It alone can determine the sex of a femur with 85.1% accuracy. The results also show that maximum head diameter, transverse head diameter, epicondylar breadth, upper breadth, and medial condylar length have higher sexual dimorphisms than the dimensions of length. According to the result to stepwise discriminant analysis and the need for sexing fragmentary remains, 22 discriminant functions composed of various combinations of variables were calculated which can determine the sex of the femur correctly 82.3 to 87.2%. The methods of sex determination provided by this paper can be used to sex poorly preserved femora.     

Variations in pulp/tooth area ratio as an indicator of age: a preliminary study

This paper details a method for age determination of adults from single rooted teeth. The sample consisted of 100 Italian white Caucasian patients (46 men, 54 women) aged between 18 and 72 years. The single rooted maxillary right canine was utilized in this preliminary study. Pulp/root ration, tooth length, pulp/tooth length ratio, pulp/tooth area and pulp/root width ratios at three different levels were computed. Pearson's correlation coefficients between age and these variables showed that the ratio between pulp and tooth area correlated best with age (r2 = 0.85). Stepwise multiple regression models yielded a linear relationship between pulp/root width at mid-root level and chronological age and a linear relationship when pulp/tooth area was compared to age. Statistical analysis indicated that these two variables explain 84.9% of variations in estimated chronological age. The median of the absolute value of residual errors between actual and estimated ages was less than four years.     

Shot range estimation based on pellet distribution in shots with a pump-action shotgun

In the present study, shots from different ranges were fired using a non-choked pump-action shotgun (Hugsan) of calibre 12 with a bore length of 52cm and pellets of various sizes. The aim of the study is range estimation from the distribution of pellets.Using pellets of 2, 3.5, 5 and 8mm size, 5 shots were fired from: 0.7, 0.8, 0.9, 1, 2, 3, 5, 10, 15, 20 and 25ms. The maximum distance between the pellets in vertical and horizontal direction was measured. Statistical evaluation of the data revealed a highly significant correlation for each pellet type; the constant values a and b were calculated to be used in the linear regression equation y=a+bx.As a conclusion, the linear regression equation as well as table data may allow range determination within acceptable ranges of error for the same barrel length and diameter for the same cartridge type. Under identical conditions they may also provide information for pellets of comparable size.     

省内转移支付均等化效应研究——政府间财政分配行为的视角

政府间财政分配行为的差异是影响省内转移支付均等化效应大小的重要因素。论文通过"中央对省的支持力度"、"省内的收入集权程度"、"省市对县的转移支付倾斜幅度"以及"省内县际间转移支付横向分配的均等化取向"4个变量维度对政府间财政分配行为进行组合,得到中间层级政府财政分配行为的8种模式。同时,对各种行为模式下的省内转移支付均等化效应进行预测,且通过了2004年以2000多个县的数据为基础的实证检验,从而解释了不同政府间财政分配行为模式下转移支付均等化效应的作用机理。在此基础上,结论部分探讨了中间层级政府应当如何在"增长"和"均等"之间进行权衡。     

Objective measurement of dental color for age estimation by spectroradiometry

Age-related changes in tooth color have been described previously, however, the use of dental color for age estimation in forensic odontology has been limited due to the difficulty of measuring color objectively. This study presents an objective method for determining dental color to estimate the age of an individual. Dentine color in 250 teeth from patients ranging in age from 10 to 89 years was determined by spectroradiometry. Color measurements were performed as suggested in the CIE 1931 (International Commission on Illumination). Chromaticity coordinates (x, y, z), luminance (Y), whiteness index (WIC, Z%, WIC) and yellowness index (YI) were obtained. Correlations between these colorimetric variables and aging were established by linear regression analyses. All the variables fit the mathematical model with correlation coefficients ranging from 0.53 to 0.75. This method of color measurement produced an expected associated error of calibration averaging 13.7 years about the mean estimated values, at a 70% level of confidence. Two different multiple regression models for dental age estimation were tested, and variables that made the greatest contributions to age calculation were identified. To determine the effect of postmortem interval on tooth color and its influence in age estimation, 37 teeth obtained from human skeletal remains buried during an interval ranging from 21 to 37 years were also studied. In this material, the correlation between age and dental color measured by spectroradiometry was weaker than in fresh extracted teeth.It is concluded that determination of dentine color by spectroradiometry is a potentially useful objective method to estimate age in forensic studies in combination with other methods.     

Determination of sex from femora

The determination of sex from bones or bone fragments considerably contributes to identifying unknown bodies or skeletal remains. Due to temporal change and regional differences anthropometric standards have to be constantly renewed. The present study provides measurements of femoral dimensions in a contemporary German population and analyses sexual dimorphism by discriminant analysis. Maximum length (male: 46.4+/-2.4 cm, female: 43.4+/-2.4 cm), maximum midshaft diameter (male: 3.1+/-0.2 cm, female: 2.8+/-0.2 cm), condylar width (male: 8.4+/-1.0 cm, female: 7.7+/-0.5 cm), vertical head diameter (male: 4.9+/-0.3 cm, female: 4.4+/-0.3 cm), head circumference (male: 15.7+/-0.8 cm, female: 13.8+/-1.0 cm) and transverse head diameter (male: 4.9+/-0.3 cm, female: 4.3+/-0.3 cm) were measured in 170 femora, 100 from male (age: 16-92 years, mean: 60.8 years; body height: 153-190 cm, mean: 171 cm) and 70 from female (age: 20-96 years, mean: 72 years; body height: 146-175 cm, mean: 161 cm) individuals. In the discriminant analysis (leave-one-out-method) 67.7% of cases could be grouped correctly with the maximum length alone, 72.4% with the maximum midshaft diameter, 81.4% with the condylar width, 86.8% with the vertical head diameter, 87.7% with the head circumference and 89.6% with the transverse head diameter. The stepwise procedure with all head measurements showed that the results for the transverse head diameter could not be improved. With all measurements subjected to stepwise procedure 91.7% of cases could be classified correctly combining midshaft diameter and head circumference (D=3.012xmidshaft diameter in cm+0.780xhead circumference in cm 20.569).     

Discriminant function sexing of fragmentary femur of South African blacks

When fragmentary and incomplete bones are all that are available to the forensic anthropologist for use in sex determination, non-metric and metric sex discriminating parameters that have been derived from complete bones may be of little use. In such circumstances, sex discriminating metric methods that are of specific application to fragmentary bones will be more useful. Since such studies have not been systematically carried out in bones of South African blacks, the aim of this study was to begin to provide such data. Two hundred and twenty left femurs of black South Africans were obtained from the Raymond A. Dart Collection of African Skeleton, School of Anatomical Sciences, University of the Witwatersrand, South Africa. Five variables from the upper end of the femur and three variables from the lower end of the femur were measured and subjected to univariate and multivariate discriminant function analyses. The vertical head diameter and the medial condylar length were most successful in sex identification from the upper and lower ends of the femur respectively. The combined variables were more useful than the use of variables individually. Discriminant function score equations were derived for individual and combined variables from the upper and lower ends of the femur of the South African blacks.     

Validation of Toolmark Comparisons Made At Different Vertical and Horizontal Angles

Numerous studies have focused on determining whether objective statistical methods can be used to discriminate between known matches and nonmatches when comparing laboratory prepared toolmarks. This study involved an analysis of striated toolmarks made as a function of varying vertical and horizontal angles of attack. Comparisons based on experimental data show that replicate toolmarks from the same tool show high correlation values at identical vertical and horizontal angles, with the correlation decreasing as the angular difference increases, especially for horizontal angular changes. Comparisons between nonmatching samples produce low correlation values that remain unchanged as horizontal angular differences increase. While complete statistical separation was not achieved between matching and nonmatching samples, there is evidence demonstrating that toolmarks can be identified if the variation in horizontal angle is within 10°. The experiment shows that computer‐aided comparison techniques could be viable for identification with the proper statistical algorithm.     

The sciatic notch/acetabular index as a discriminator of sex in European skeletal remains

The sciatic notch/acetabular index and its rule of thumb application was tested on two European skeletal series of documented sex. The results showed poor consistency between documented and estimated sex. Of the two variables comprising the index, it appeared that sciatic notch width was a particularly poor discriminator of sex. It is suggested that this may be due to differences in the relationship between sciatic notch form and body size in different ethnic groups.     

青少年骨龄标准身高、体重和体重指数生长图表

目的制订青少年骨龄标准身高、体重和体重指数生长图表,为年龄推测时评价青少年基本发育状况提供参考。方法研究样本为2005年中国5城市抽取的3-19岁汉族正常青少年和儿童16570名（男8282,女8288）。应用RUS-CHN法评价受试者手腕部骨龄,由Box-Cox幂指数分布（Box-Cox power exponential distribution,BCPE）模型估价以骨龄分组的身高、体重和体重指数（Body mass index,BMI）百分位数。结果根据最小Akaike信息准测（Akaike Information Criterion,AIC）和广义AIC（Generalized AIC）选择了身高、体重和BMI BCPE模型μ,σ,ν,τ参数的自由度,依据BCPE模型所估价的百分位数曲线下样本例数的百分数与理论期望值相差在0.01%-1.21%之间。结论所选择的BCPE模型符合青少年儿童样本以骨龄分组的身高、体重和BMI数据的实际分布,所提出的生长图表可用于年龄推测中青少年基本生长发育状况的评价。     

Application of a computer assisted image analyzer to the assessment of area and number of sites of dental attrition and its use for age estimation

A simple method was devised to assess dental attrition in terms of its area and number of sites by using dental plaster casts and a computer assisted image analyser. The changes presented on the occlusal surfaces of teeth were investigated for age estimation using these criteria. The area of attrition on each tooth demonstrated a significant positive correlation with age, but a wide individual variation was observed in the values for each tooth. Therefore, this method was unsuitable for accurate age estimation of a single tooth. A strong negative correlation with age was observed in the number of sites of attrition. A multiple stepwise regression analysis using the variables 'attrition area' and 'attrition number' revealed multiple correlation coefficient values of 0.93. The quantitative assessment of both horizontal and vertical factors of dental attrition would be essential to improve the accuracy of this method.     

纵向限制竞争协议与横向限制竞争协议的比较

纵向限制竞争协议主要影响同一品牌内部的竞争,因而对纵向限制竞争协议,主要应看一方当事人的市场力量如何,以及对竞争者的排斥效果如何。由于纵向限制竞争协议积极效果更加突出,因而不像横向限制竞争协议那样受到严格的控制,本身违法规则适用范围有限,除了转售价格维持与绝对的地域保护以外,对其他纵向限制竞争协议均应适用合理规则进行分析。