Sexual dimorphism in the Japanese cranial base: a Fourier-wavelet representation

An approach, computational shape analysis (CSA), is presented here which utilizes a Fourier-wavelet representation to numerically describe shape features of biological forms. Two elements are involved: 1) elliptical Fourier functions (EFFs), to provide estimates of global aspects, and 2) continuous wavelet transforms (CWTs) to generate an objective estimate of localized features. EFFs are computed, using a set of pseudohomologous points, to create a precise analog of the boundary. This computed contour is then normalized by scaling and rotated in two-dimensional space to insure a representation that is invariant with respect to starting point, size, and orientation. The predicted point coordinates derived from the EFFs are submitted to CWT for further processing. Wavelet coefficients are then computed to identify localized features, localization being a subjective process with EFFs. The advantage of wavelets is that they eliminate the inevitable subjectivity inherent in the choice of measurements. To test the usefulness of CSA, a sample of cranial base (CB) lateral radiographic outlines was available. Five archaeological periods, Yayoi, Kofun, Kamakura, Edo, and Modern, were utilized (n = 297). Statistically significant differences in sex and archaeological age were found. Although archaeological age differences were present, they were small and random in character, suggesting stability in the CB structures. In contrast, sexually dimorphic differences were present in every group from the Yayoi to the Modern period. This presence of sexually dimorphic differences in shape was consistent with earlier studies of M. nemestrina, G. gorilla, and P. troglodytes. Consequently, it is suggested that the pattern of sexual dimorphism documented in the Japanese CB is a primate pattern with an ancient evolutionary history. The results demonstrate, both visually and numerically, that CSA is a powerful approach for describing both global and localized features of craniofacial structures such as the CB.     

水果形状的傅里叶描述子研究

水果的形状是水果分级的重要指标之一。本文研究了不规则物体形状的数学描述方法,认为在水果的分级过程中采用曲线拟合的方法来描述水果的形状是不合适的;提出了仅需利用物体的边界信息求物体的形心坐标和描述果形的新方法;发现用Fourier描述子的前4个谐波分量的变化特性就能较好地代表水果的形状,用前15个谐波分量来描述形状则可以达到相当高的精度。而且傅立叶描述子可以进行平移、旋转和缩放,并具有很强的水果外形重建功能,是一描述水果形状的非常有效的方法。     

Morphometric variation in the hominoid orbital aperture: a case study with implications for the use of variable characters in Miocene catarrhine systematics

Variable characters are ubiquitous in hominoid systematics and present a number of unique problems for phylogenetic analyses that include extinct taxa. As yet, however, few studies have quantified ranges of variation in complex morphometric characters within extant taxa and then used those data to assess the consistency with which discrete character states can be applied to poorly represented fossil species. In this study, ranges of intrageneric morphometric variation in the shape of the hominoid orbital aperture are estimated using exact randomization of average pairwise taxonomic distances (ATDs) derived from size-adjusted centroid, height-width, and elliptic Fourier (EF) variables. Using both centroid and height-width variables, 19 of the 21 possible ATDs between individuals representing seven extinct catarrhine taxa (Aegyptopithecus, Afropithecus, Ankarapithecus, Ouranopithecus, Paranthropus, Sivapithecus and Turkanapithecus) can be observed within a single extant hominoid subspecies, although generally with low probabilities. A resampling study is employed as a means for gauging the effect that this intrataxonomic variation may have on the consistency with which discrete orbital shape character states can be delimited given the small sample sizes available for most Miocene catarrhine taxa preserving this feature (i.e., n=1). For each type of morphometric variable, 100 cluster (UPGMA) analyses of pairwise ATDs are performed in which a single individual is randomly selected from each hominoid genus and analyzed alongside known extinct taxa; consensus trees are computed in order to obtain the frequencies with which different shape clusters appeared in each of the three analyses. The two major clusters appearing most frequently in all three consensus trees are found in only 57% (centroid variables), 49% (height-width variables), and 36% (EF variables) of these trees. If ranges of variation within represented extinct taxa could also be estimated, these frequencies would certainly be far lower. Hominoids clearly exhibit considerable intrageneric, intraspecific, and even intrasubspecific variation in orbit shape, and substantial morphometric overlap exists between taxa; consequently, discrete character states delimiting these patterns of continuous variation are likely to be highly unreliable in phylogenetic analyses of living and extinct species, particularly as the number of terminal taxa increases. Morphological phylogenetic studies of extant catarrhines that assess the effect of different methods (e.g., use of objective a priori weighting or frequency coding of variable characters, inclusion vs. exclusion of variable characters, use of specific vs. supraspecific terminal taxa) on phylogenetic accuracy may help to improve the techniques that systematists employ to make phylogenetic inferences about extinct taxa.     

Broth rheology and morphological analysis of Solanum chrysotrichum cultivated in a stirred tank

Solanum chrysotrichum cell cultures were grown in a stirred tank bioreactor and their rheological and morphological behaviour were evaluated. The culture broths exhibited non-Newtonian and shear-thinning characteristics. Pseudoplasticity of the broths was governed by their biomass concentration. The roundness of aggregates measured as the elliptical form factor (EFF) had important changes. At the beginning of the culture the aggregates with an EFF lower than 2 represented 52% of the population, but in stationary phase the proportion increased to 77%. Whereas the size of aggregates did not change 80% of the population had an area lower than 0.1 mm². Overall, these results indicate that the shape of the aggregate therefore needs to be considered when studying plant broth rheology.     

Regional variations in cortical modeling in the femoral mid-shaft: sex and age differences

Modern lifestyle changes may result in site-specific alterations in the skeleton. Our aim was to determine sex and age differences in regional geometry at the mid-femur. Complete cross sections from 113 individuals aged 20-97 years from a modern Australian population were obtained. A further subsample of 24, in whom the precise orientation of specimens was known, was subsequently collected. Microradiographs were made of 100-microm sections and the bone was analyzed using image processing software (Optimas, Media Cybernetics). The periosteal boundary was extracted automatically and the centroid of the periosteal outline was calculated. Fourier shape analysis was used to delineate the endocortical surface. Radial and cortical widths in each quadrant were determined. The posterior was identified by the linea aspera, and the medial and lateral were indistinguishable and therefore grouped together. For analysis, the entire sample was divided into three groups: young (20-40 years), middle (41-60 years), and old (61+ years). Raw and height-normalized values were analyzed with SPSS using t-tests, analysis of variance, and Tukey's honestly significant difference (HSD) tests. The results show that with age the femoral mid-shaft in both sexes becomes larger and more circular, with a slight shift towards the anterior. Apposition is least on the posterior and resorption greatest on the anterior, the latter being particularly evident in postmenopausal females. The greatest sex differences are seen in the middle years, lessening again in the old. We conclude that differential circumferential modeling in response to functional and postural changes occurs in both sexes with age.     

Relationship between fluctuating asymmetry,morphological modality and heterozygosity in an elderly Israeli population

We have been checking the following working hypotheses: 1) There is a negative correlation between genetic heterozygosity and fluctuating asymmetry (FA); 2) FA is a measure of developmental stability/instability of the whole organism, i.e. we expect negative correlation between FA and morphological proximity of a set of mass-size variables of an individual to a population centroid; and 3) FA is a measure of character-specific stability in a population, i.e. we expect correlation between magnitude of FA and deviation of an individual from the population centroid of the bilateral characters themselves. For this purpose each individual in a sample of about 200 elderly individuals was assessed for 11 polymorphic blood systems (14 genetic loci) as well as for a set of 26 anthropometric traits: 1) a set of ten mass size variables; and 2) a set of eight pairs of bilateral measurements. Four multivariate measures of morphological centrality were computed, two measures for size and two measures of shape distances from the i^th individual to the population centroid for mass-size variables and also for the bilateral variables. A multivariate measure of FA for 8 bilateral pairs was also computed. No relationship was detected between FA and heterozygosity, or between FA and any of the four multivariate deviations. Thus, we concluded that our data do not support the listed hypotheses.     

Are wing size,wing shape and asymmetry related to field fitness of Trichogramma egg parasitoids?

The effects of wing shape, wing size, and fluctuating asymmetry in these measures on the field fitness of T. nr. brassicae and T. pretiosum were investigated. Trichogramma wasps mass-reared on eggs of the factitious host Sitotroga cerealella were released in tomato paddocks and those females ovipositing on Helicoverpa spp. eggs were recaptured. Comparisons of the recaptured group with a sample from the release population were used to assess fitness. Wing data were obtained by positioning landmarks on mounted forewings. Size was then measured as the centroid size computed from landmark distances, while Procrustes analysis followed by principal component analysis was used to assess wing shape. Similar findings were obtained for both Trichogramma species: fitness of wasps was strongly related to wing size and some shape dimensions, but not to the asymmetries of these measures. Wasps which performed well in the field had larger wings and a different wing shape compared to wasps from the mass reared population. Both size and the shape dimensions were linearly associated with fitness although there was also some evidence for non-linear selection on shape. The results suggest that wing shape and wing size are reliable predictors of field fitness for these Trichogramma wasps.     

苔草草丘恢复湿地的景观格局变化——以哈尔滨太阳岛为例

湿地景观变化是湿地生态学领域研究的重要内容。湿地景观要素在不同时间和空间的变化过程研究是揭示湿地演变规律,开展生态恢复实践的重要科学基础。以哈尔滨太阳岛苔草草丘恢复湿地为例,采用野外调查与3S技术相结合的方法,选取草丘面积、斑块形状特征、草丘数量及形态特征等指标,探究草丘湿地恢复过程中的景观变化,为开展湿地恢复提供了重要的科学依据。结果表明:经过8年的恢复,苔草草丘景观变化明显。草丘数量增多,丘墩高度、直径、植株高度、冠幅显著增加(P0.05);湿地恢复后,苔草群落向外扩展722 m~2,苔草草丘总面积达2222 m~2,扩展率为48.13%;在湿地微地貌和水文条件等因素的综合作用下,草丘群落扩展方向具有一定规律性,斑块边界和质心分别向西南方向扩展了29.91 m和迁移了5.9 m,扩展度和曲线边界比重不断增加,斑块形状和边界趋于复杂,景观空间异质性增强;利用根茎克隆繁殖结合水位调控可实现苔草草丘的快速恢复。     

区域生态系统重心指标的概念与应用

生态系统重心的变化可以反映生态系统整体的空间变化的特征和趋势,但是,目前生态系统重心这一指标只是简单作为指示社会经济变化的因子,或是作为辅助的角色用于探索生态景观格局的变化,其重要性一直未受到足够的重视。在阐述生态系统重心指标的概念及内涵,总结国内外有关重心应用研究成果的基础上,以川滇两省共同确立的泸沽湖生态保护区为例,运用重心理论分析了1990—2005年该流域生态系统重心的变化及影响因素。结果表明,泸沽湖流域农田、森林、草地、湿地和人居用地均具有相对独立且稳定的重心区间。相对来说,人居用地和农田重心的变化幅度明显大于其他用地,其重心均总体向东南方向偏移,不断靠近泸沽湖水体。2005年人居用地和农田重心均有所回撤,这主要是因为2003年泸沽湖景区进行调整,政策的强制干预导致其重心回撤。分析重心变化的影响因素发现,区域旅游业发展带来的人类干扰加剧及国家的生态保护政策主导重心变化。在总结前人研究和应用案例具体分析发现,由于重心理论假设区域背景为匀质平面,分析是基于二维空间进行,而不考虑海拔维度,这就限制了重心模型应用的深度和广度。但是在泸沽湖这样地形复杂多变的区域,地形因素在该区域生态系统变化过程中的作用不容忽视。因此,应尽快完善在垂直空间应用重心理论的研究方法并加强相关研究。     

Quantitative assessment of osseous, ocular, and periocular changes after hypertelorism surgery

The purpose of this study was to develop a methodology to quantify osseous, ocular, and periocular fat changes caused by correction of orbital hypertelorism to test the hypothesis that there is a quantitatively predictable relationship between the movement of the osseous orbit and that of the ocular globe. A retrospective review was performed of 10 patients who were status post unilateral or bilateral transcranial medial orbital translocation, for whom there were archival digital data for preoperative and postoperative (mean interval = 30 months) three-dimensional computed tomographic (CT) scans. In addition to standard demographic and surgical data, the clinical preoperative and postoperative interpupillary and intermedial canthal distances were recorded. By using a computer graphics workstation, the CT digital data were registered to four surgically unaltered anatomic fiducial points to allow longitudinal quantitative comparisons. The following three-dimensional measurements were made for each patient preoperatively and postoperatively: interdacryon and interocular centroid distances, and on a standard series of three horizontal and two vertical planes, the position of the medial and lateral orbital walls, and the thickness of the medial and lateral periorbital fat (20 orbits). CT digital distances were compared with similar clinical distances when possible. The age at operation ranged from 4.0 to 12.5 years (mean, 6.6 years). The reduction in interdacryon distance exceeded the reduction in intercentroid distance (mean interdacryon change = -5.3 mm versus mean intercentroid change = -2.7 mm). Although there was a strong correlation between the amount of reduction of the lateral orbital wall and intercentroid distances, there was only a moderate correlation between the reduction in the intercentroid distance and that of the medial orbital wall. Similarly, there was a moderate correlation between the decrease in thickness of the lateral periorbital fat and the reduction of intercentroid distance but not of the medial orbital fat. In conclusion, medial translocation of the orbit does not produce equivalent movement of the ocular globe; neither the intermedial canthal nor the interdacryon distance is a useful predictor of ocular centroid position; and if the goal of hypertelorism operation is reduction of interocular distance, then CT measurement of globe intercentroid distance is essential for outcome assessment.     

Geometric morphometric analysis of mandibular shape diversity in Pan

The aim of this research is to determine whether geometric morphometric (GM) techniques can provide insights into how the shape of the mandibular corpus differs between bonobos and chimpanzees and to explore the potential implications of those results for our understanding of hominin evolution. We focused on this region of the mandible because of the relative frequency with which it has been recovered in the hominin fossil record. In addition, no previous study had explored in-depth three-dimensional (3D) mandibular corpus shape differences between adults of the two Pan species using geometric morphometrics. GM methods enable researchers to quantitatively analyze and visualize 3D shape changes in skeletal elements and provide an important compliment to traditional two-dimensional analyses.Eighteen mandibular landmarks were collected using a Microscribe 3DX portable digitizer. Specimen configurations were superimposed using Generalized Procrustes analysis and the projections of the fitted coordinates to tangent space were analyzed using multivariate statistics. The size-adjusted corpus shapes of Pan paniscus and Pan troglodytes could be assigned to species with approximately 93% accuracy and the Procrustes distance between the two species was significant. Analyses of the residuals from a multivariate linear regression of the data on centroid size suggested that much of the shape difference between the species is size-related. Chimpanzee subspecies and a small sample of Australopithecus specimens could be correctly identified to taxon, at best, only 75% of the time, although the Procrustes distances between these taxa were significant. The shape of the mandibular symphysis was identified as especially useful in differentiating Pan species from one another. This suggests that this region of the mandible has the potential to be informative for taxonomic analyses of fossil hominoids, including hominins. The results also have implications for phylogenetic hypotheses of hominoid evolution.     

Wing shape as a potential discriminator of morphologically similar pest taxa within the Bactrocera dorsalis species complex (Diptera: Tephritidae)

Four morphologically cryptic species of the Bactrocera dorsalis fruit fly complex (B. dorsalis s.s., B. papayae, B. carambolae and B. philippinensis) are serious agricultural pests. As they are difficult to diagnose using traditional taxonomic techniques, we examined the potential for geometric morphometric analysis of wing size and shape to discriminate between them. Fifteen wing landmarks generated size and shape data for 245 specimens for subsequent comparisons among three geographically distinct samples of each species. Intraspecific wing size was significantly different within samples of B. carambolae and B. dorsalis s.s. but not within samples of B. papayae or B. philippinensis. Although B. papayae had the smallest wings (average centroid size=6.002 mm±0.061 SE) and B. dorsalis s.s. the largest (6.349 mm±0.066 SE), interspecific wing size comparisons were generally non-informative and incapable of discriminating species. Contrary to the wing size data, canonical variate analysis based on wing shape data discriminated all species with a relatively high degree of accuracy; individuals were correctly reassigned to their respective species on average 93.27% of the time. A single sample group of B. carambolae from locality 'TN Malaysia' was the only sample to be considerably different from its conspecific groups with regards to both wing size and wing shape. This sample was subsequently deemed to have been originally misidentified and likely represents an undescribed species. We demonstrate that geometric morphometric techniques analysing wing shape represent a promising approach for discriminating between morphologically cryptic taxa of the B. dorsalis species complex.     

Geometric morphometric analysis of Eysarcoris guttiger,E.annamita and E.ventralis (Hemiptera: Pentatomidae)

The genus Eysarcoris can be easily distinguished from other genera through the two spots in the basal angle of the scutellum.Nevertheless,Eysarcoris species show complex variances.Geometric morphometric methods have been increasingly applied to distinguish species and to define the boundary of genera among insects.In the present study,geometric morphometric approach was firstly employed to evaluate the shape variation of three characters (fore wing,hind wing and pygophore) of E.guttiger,E.annamita and E.ventralis using E.aeneus as outgroup to ascertain whether this approach is a reliable method for the taxonomy of Eysarcoris.Analysis was conducted on the landmarks of the three characters of these species.Multivariate regression of procrustes coordinates against centroid size was conducted to test the presence of allometry.Principal component analysis (PCA),canonical variate analysis (CVA)and cluster analysis were utilized to describe variations in shapes among the studied species.For all of the three characters,though PCA analysis showed some overlap among species,p-values for procrustes distance and mahalanobis distance were all less than 0.0001.The distribution of the three studied species corresponds with their species status.This study demonstrates that the geometric morphometrics of both the fore wing and the hind wing might represent a possible tool for the identification of species within this genus.     

Detecting Genetic Association of Common Human Facial Morphological Variation Using High Density 3D Image Registration

Human facial morphology is a combination of many complex traits. Little is known about the genetic basis of common facial morphological variation. Existing association studies have largely used simple landmark-distances as surrogates for the complex morphological phenotypes of the face. However, this can result in decreased statistical power and unclear inference of shape changes. In this study, we applied a new image registration approach that automatically identified the salient landmarks and aligned the sample faces using high density pixel points. Based on this high density registration, three different phenotype data schemes were used to test the association between the common facial morphological variation and 10 candidate SNPs, and their performances were compared. The first scheme used traditional landmark-distances; the second relied on the geometric analysis of 15 landmarks and the third used geometric analysis of a dense registration of ∼30,000 3D points. We found that the two geometric approaches were highly consistent in their detection of morphological changes. The geometric method using dense registration further demonstrated superiority in the fine inference of shape changes and 3D face modeling. Several candidate SNPs showed potential associations with different facial features. In particular, one SNP, a known risk factor of non-syndromic cleft lips/palates, rs642961 in the IRF6 gene, was validated to strongly predict normal lip shape variation in female Han Chinese. This study further demonstrated that dense face registration may substantially improve the detection and characterization of genetic association in common facial variation.     

Morphometric analysis of dinosaur eggshells: constraints of size on shape

Studies on fossil eggs and eggshells have been traditionally focused on analysis of microstructure and systematic classification, but few attempts have been made to examine the variability of eggshell characters. This work examines the variability of one diagnostic character, shape of the calcitic units, of some dinosaur eggshells by using outline shape analysis (elliptic Fourier analysis). The studied material belongs to five different oospecies of the parafamily Megaloolithidae Zhao, 1979. To test shape variation within and between oospecies, an analysis on 129 outlines was carried out and their variability was summarised by principal component analysis. We then tested if the shape of megaloolithid units changes according to size (i.e. allometry). A regression analysis between eggshell unit shape and two different size measurements (centroid size and eggshell thickness) showed that the thinnest eggshells (thickness ≤ 1 mm) have different shapes than thicker ones ( ≥ 2.5 mm). Our results stress that the variability in the shape of eggshell units in Megaloolithus oospecies is correlated to size (i.e. eggshell thickness), a phenomenon that should be then considered carefully when determining oospecies, since a single oospecies can show both a wide range of eggshell thickness and combined with different eggshell unit shapes.     

The technical delimitation of a modern equidistant boundary

Abstract

Delimitation of maritime boundaries represents a recent state activity. The main impetus stems from the 1958 Geneva Conventions on the Territorial Sea … and on the Continental Shelf. State practice since 1958 has shown a marked preference for the equidistance principle for maritime boundary delimitation. At first many of these limits were geometrically constructed on existing nautical charts or on specifically designed small‐to medium‐scale maps. With increasing ability to exploit marine resources and the associated need to delimit boundaries farther from the baseline, inequities have developed as a consequence of map projections utilized, differences in horizontal and vertical datums, and so on. This paper discusses the principles behind, and the development of, conventional techniques of equidistant boundary delimitation; illustrates the errors that may result; and points out means, through modern computer technology, to compute equitable, equidistant maritime boundaries at great distances from the baselines.