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The nature of quantitative genetic variation for Drosophila longevity.

Longevity is a typical quantitative trait: the continuous variation in life span observed in natural populations is attributable to genetic variation at multiple quantitative trait loci (QTL), environmental sensitivity of QTL alleles, and truly continuous environmental variation. To begin to understand the genetic architecture of longevity at the level of individual QTL, we have mapped QTL for Drosophila life span that segregate between two inbred strains that were not selected for longevity. A mapping population of 98 recombinant inbred lines (RIL) was derived from these strains, and life span of virgin male and female flies measured under control culture conditions, chronic heat and cold stress, heat shock and starvation stress, and high and low density larval environments. The genotypes of the RIL were determined for polymorphic roo transposable element insertion sites, and life span QTL were mapped using composite interval mapping methods. A minimum of 19 life span QTL were detected by recombination mapping. The life span QTL exhibited strong genotype by sex, genotype by environment, and genotype by genotype (epistatic) interactions. These interactions complicate mapping efforts, but evolutionary theory predicts such properties of segregating QTL alleles. Quantitative deficiency mapping of four longevity QTL detected in the control environment by recombination mapping revealed a minimum of 11 QTL in these regions. Clearly, longevity is a complex quantitative trait. In the future, linkage disequilibrium mapping can be used to determine which candidate genes in a QTL region correspond to the genetic loci affecting variation in life span, and define the QTL alleles at the molecular level.

Animals↗

Heat shock protein 40 enhances axon regeneration in a mouse model of traumatic optic neuropathy.

Retinal ganglion cell death occurs following injury to the optic nerve either by trauma or in disease such as glaucoma, leading to severe vision loss. Recent innovations have demonstrated that optic nerve regeneration is feasible; however, the regeneration is limited. The aim of the present study is to identify genomic elements enhancing axon regeneration. We have taken a forward genetics approach using the BXD recombinant mouse strains to identify a gene that increases the extent of optic nerve regeneration. Axon regeneration was induced by knocking down Pten in retinal ganglion cells using adeno-associated virus to deliver an shRNA followed by an intravitreal injection of Zymosan with CPT-cAMP that produced a mild inflammatory response. Retinal ganglion cell axons were damaged by optic nerve crush. Following a 12-day survival period, regenerating axons were labeled by intravitreal injection of Cholera Toxin B conjugated with Alexa Fluor 647. Two days later, labeled axons within the optic nerve were examined to determine the number of regenerating axons and the distance they traveled down the optic nerve. The analysis revealed a surprising difference in the amount of axonal regeneration across all 33 BXD strains. There was a 7.5-fold difference in the number of regenerating axons and a 4-fold difference in the distance traveled by regenerating axons. These data were used to generate an interval map defining genomic loci that modulate enhanced axonal regeneration. A quantitative trait locus modulating axon regeneration was identified on Chromosome 14 (115 to 119 Mb). Within this locus were 16 annotated genes. Subsequent testing revealed that one candidate gene, Dnajc3, modulated axonal regeneration. Dnajc3 encodes heat shock protein 40 (HSP40), a molecular chaperone. Knocking down Dnajc3 in the high regenerative strain (BXD90) led to a decreased regeneration response, whereas, overexpression of Dnajc3 in a low regenerative strain (BXD34) resulted in an increased regeneration response. These findings reveal that Dnajc3 not only increases the number of regenerating axons, but also increases the distance that axons travel. The enhanced regeneration will prove to be critical for functional recovery in humans, where the distance axons travel to their targets is considerably longer than that of mice.

axon regeneration↗

A proper study for mankind: Analogies from the Papionin monkeys and their implications for human evolution.

This paper's theme is that analogies drawn from the cercopithecine tribe Papionini, especially the African subtribe Papionina (baboons, mangabeys, and mandrills), can be a valuable source of insights about the evolution of the human tribe, Hominini, to complement homologies found in extant humans and/or African apes. Analogies, involving a "likeness of relations" of the form "A is to B, as X is to Y," can be usefully derived from nonhomologous (homoplastic) resemblances in morphology, behavior, ecology, or population structure. Pragmatically, the papionins are a fruitful source of analogies for hominins because they are phylogenetically close enough to share many basic attributes by homology, yet far enough that homoplastic modifications of these features are easily recognized as such. In "The Seedeaters," an analogy between Theropithecus among baboons and Australopithecus africanus among hominines was the source of a widely discussed (and often misrepresented) diet-based scenario of hominin origins that explained previously unassociated hominin apomorphies, interpreted basal hominins as nonhuman rather than prehuman primates, and accommodated a basal hominin adaptive radiation of at least two lines. Current usage recognizes an even more extensive evolutionary radiation among the basal hominins, originating no earlier than about 7 ma, with multiple lineages documented or inferred by 2.5 ma. Although multilineage clades (especially the Paranthropus clade) within this complex are widely recognized, and emerge from sophisticated, parsimony-based analyses, it is suspected that in many cases, developmental or functional homoplasies are overwhelming the phylogenetic signal in the data. The papionin analogy (specifically the splitting of the traditional, morphology-based genera Cercocebus and Papio mandated by molecular evidence) illustrates the power of these factors to produce erroneous cladograms. Moreover, the rapid deployment of basal hominins across varied African habitats was an ideal scenario for producing morphologically undetectable homoplasy. There seems to be no foolproof way to distinguish, a priori, homologous from homoplastic resemblances in morphology, but one pragmatic strategy is to severely censor the datset, retaining only resemblances or differences (often apparently trivial ones) that cannot be reasonably explained on the basis of functional resemblance or difference, respectively. This strategy may eliminate most morpological data, and leave many fossil taxa incertae sedis, but this is preferable to unwarranted phylogenetic confidence. Another source of phylogenetic uncertainty is the possibility of gene-flow by occasional hybridization between hominins belonging to ecologically and adaptively distinct species or even genera. Although the evidence is unsatisfactorily sparse, it suggests that among catarrhines generally, regardless of major chromosomal rearrangements, intersterility is roughly proportional to time since cladogenetic separation. On a papionin analogy, especially the crossability of Papio hamadryas with Macaca mulatta and Theropithecus gelada, crossing between extant hominine genera is unlikely to produce viable and fertile offspring, but any hominine species whose ancestries diverged less than 4 ma previously may well have been able to produce hybrid offspring that could, by backcrossing, introduce alien genes with the potential of spreading if advantageous. Selection against maladaptive traits would maintain adaptive complexes against occasional genetic infiltration, and the latter does not justify reducing the hybridizing forms to a conspecific or congeneric rank. Whether reticulation could explain apparent parallels in hominin dentition and brain size is uncertain, pending genetic investigation of these apparently complex traits. Widespread papionin taxa (such as Papio baboons and species-groups of the genus Macaca), like many such organisms, are distributed as a "patchwork" of nonoverlapping but often parapatric forms (allotaxa). Morphologically diagnosable, yet not reproductively isolated, most allotaxa would be designated species by the phylogenetic species concept, but subspecies by the biological species concept, and use of the term "allotaxa" avoids this inconsistency. A line of contact between allotaxa typically coincides with an ecotone, with neighboring allotaxa occupying similar econiches in slightly different habitats, and often exhibiting subtle, adaptive, morphological differences as well as their defining differences of pelage. "Hybrid zones," with a wide variety of internal genetic structures and dynamics, typically separate parapatric allotaxa. Current models attribute the formation and maintenance of allotaxa to rapid pulses of population expansion and contraction to and from refugia, driven by late Neogene climatic fluctuations. An overall similarity in depth of genetic diversity suggests that papionin taxa such as Papio baboons, rather than extant humans, may present the better analogy for human population structure of the "prereplacement" era. Neandertals and Afro-Arabian "premodern" populations may have been analogous to extant baboon (and macaque) allotaxa: "phylogenetic" species, but "biological" subspecies. "Replacement," in Europe, probably involved a rapidly sweeping hybrid zone, driven by differential population pressure from the "modern" side. Since the genetic outcome of hybridization at allotaxon boundaries is so variable, the problem of whether any Neandertal genes survived the sweep, and subsequent genetic upheavals, is a purely empirical one; if any genes passed "upstream" across the moving zone, they are likely to be those conferring local adaptive advantage, and markers linked to these. In general, extant papionin analogies suggest that the dynamics and interrelationships among hominin populations now known only from fossils are likely to have been more complex than we are likely to be able to discern from the evidence available, and also more complex than can be easily expressed in conventional taxonomic terminology.

Animals↗

Genome-wide barriers to gene flow reveal the genetic basis of viviparity evolution in a lizard.

Viviparity (live-bearing) is a major evolutionary transition repeatedly linked with ecological and evolutionary diversification throughout vertebrates. Live-bearing reproduction entails a novel suite of phenotypes and life history traits, but the genetic processes by which such a reproductive innovation evolves are unknown. Remarkable among amniotes, the common lizard (Zootoca vivipara) has extant oviparous (egg-laying) and viviparous lineages and a to-date unresolved history of parity mode emergence. This species represents an ideal model to reconstruct the evolutionary and genetic mechanisms of how viviparity arises. By analyzing whole genomes of individuals from across the species' distribution, we robustly show that viviparity evolved once. However, gene flow from oviparous to viviparous populations is found to be long-term and extensive, causing pronounced gene tree discordance. We inferred signals of selection for viviparity in many independent regions across the genome, and these were recruited over considerable time. Genomic barriers to gene flow between oviparity and viviparity were found genome wide. These are enriched for regions under selection for parity mode and for genes known to be involved in pregnancy and parturition in squamates and mammals. Further implicating their functional role in viviparity, we show that genes in genomic regions under selection and resisting gene flow are more highly expressed in the uterus of viviparous lizards during pregnancy. Our study demonstrates that viviparity in an amniote evolved by selection in the face of gene flow and primarily by the genome-wide accumulation of functional regulatory variants. These results reveal how complex adaptive innovations can arise and be maintained.

Animals↗

Trio-based GWAS reveals loci associated with different forms of isolated cleft lip.

Orofacial clefts (OFCs) are the most common craniofacial birth defect and comprise a diverse group of traits with complex and heterogeneous etiologies. Genetic studies of OFCs typically approach this diversity by stratifying cases into broad diagnostic classes, including cleft lip (CL), cleft palate (CP), and cleft lip with palate (CLP). Although this strategy has yielded important insights into OFC risk, it ignores the phenotypic heterogeneity within each subtype. CL exhibits marked phenotypic variability, involving differences in alveolar involvement, laterality, and sidedness that may reflect distinct etiologies. Given this phenotypic diversity within CL, we assembled a multi-ancestry cohort of 837 nonsyndromic CL case-parent trios with whole-genome sequencing and detailed phenotyping. We performed genome-wide association scans (GWAS) via transmission disequilibrium tests for CL overall and for 14 CL subtypes defined by involvement of the alveolus (with and without), laterality (uni- and bilateral), and sidedness (left and right). We identified four genome-wide significant loci. Two loci, IRF6 and 8q24.21, were both detected in the overall CL GWAS. PLCB1/PLCB4 and MAFB were detected in GWASs of alveolar cleft involvement and CL left sidedness, respectively. These subtype-specific associations were followed by case-only comparisons that reflect the presence or absence of alveolus cleft or left-sided bias of CL to confirm the specificity of the association signal to the particular subtype. Our results provide evidence of within-class CL subtype-specific genetic links for loci previously discussed in the context of primary OFC classes and demonstrate the value of granular OFC subtype characterization to capture trait-specific associations.

Alveolus Cleft↗

The role of pedigree information in combined linkage disequilibrium and linkage mapping of quantitative trait loci in a general complex pedigree.

Combined linkage disequilibrium and linkage (LDL) mapping can exploit historical as well as recent and observed recombinations in a recorded pedigree. We investigated the role of pedigree information in LDL mapping and the performance of LDL mapping in general complex pedigrees. We compared using complete and incomplete genotypic data, spanning 5 or 10 generations of known pedigree, and we used bi- or multiallelic markers that were positioned at 1- or 5-cM intervals. Analyses carried out with or without pedigree information were compared. Results were compared with linkage mapping in some of the data sets. Linkage mapping or LDL mapping with sparse marker spacing ( approximately 5 cM) gave a poorer mapping resolution without considering pedigree information compared to that with considering pedigree information. The difference was bigger in a pedigree of more generations. However, LDL mapping with closely linked markers ( approximately 1 cM) gave a much higher mapping resolution regardless of using pedigree information. This study shows that when marker spacing is dense and there is considerable linkage disequilibrium generated from historical recombinations between flanking markers and QTL, the loss of power due to ignoring pedigree information is negligible and mapping resolution is very high.

Alleles↗

Diverse virulence traits underlying different clinical outcomes of Salmonella infection.

Salmonella strains have evolved to infect a wide variety of reptiles, birds, and mammals resulting in many different syndromes ranging from colonization and chronic carriage to acute fatal disease. Adaptation to a large number of different evolutionary niches has undoubtedly driven the high degree of phenotypic and genotypic diversity in Salmonella strains. Differences in LPS and flagellar structure generate the antigenic variation that is reflected in the more than 2,000 known serotypes. Moreover, variations of LPS structure affect the virulence of the strain. The differential expression of various fimbriae by Salmonella is likely to be due to the wide variety of mucosal surfaces that are encountered by various strains, and the host immune response may select for a different expression pattern. As with these surface structures, a variety of other important virulence determinants show a variable distribution in Salmonella strains and also serve to delineate the divergence of the Salmonella lineage from E. coli. The acquisition of the SPI-1 region may have represented the defining genetic event in the separation of the Salmonella and E. coli lineages. The SPI-1 cell invasion function allowed Salmonella to establish a separate niche in epithelial cells. The mgtC locus on SPI-3 is also present in all lineages and facilitates the adaptation of the bacteria to the low Mg2+, low pH environment of the endosome that results from SPI-1-mediated invasion. Subsequent acquisition of SPI-2 allowed Salmonella to manipulate the sorting of the endosome or phagosome, altering the intracellular environment and facilitating bacterial growth within infected cells. The ability to disseminate from the bowel and establish extraintestinal niches is promoted by the spv locus. Since Salmonella proliferates within macrophages and must avoid phagocytosis by neutrophils to establish a systemic infection, the spv genes appear to promote the macrophage phase of the disease process. Here the polymorphism of the spv locus is clearly demonstrated, since the serovars that cause most cases of nontyphoid bacteremia contain the spv genes. The absence of the spv genes from S. typhi is particularly puzzling and is a strong indication that the pathogenesis of typhoid fever is fundamentally different from that of bacteremia due to nontyphoid Salmonella. There is currently no genetic explanation for the phenotype of host adaptation or for the finding that only a few serovars cause the majority of human infections. Based on recent findings that multiple individual virulence genes have a variable distribution in Salmonella, it is unlikely that a single locus will be found to be responsible for these complex biological traits. Instead, a complicated combination of genes are likely to contribute to the overall virulence phenotype.

Animals↗

Evidence for a Graves' disease susceptibility locus at chromosome Xp11 in a United Kingdom population.

Graves' disease (GD), which has a strong female preponderance (female/male ratio, >5:1), is inherited as a complex genetic trait. Loci for GD have started to be defined using genome-wide approaches for genetic linkage. To date, 3 loci have been confirmed in at least 2 cohorts of GD patients, the strongest effect being at the cytotoxic T lymphocyte antigen-4 (CTLA-4) locus on chromosome 2q33 in our population. Two other loci for GD have recently been proposed, but not confirmed, on chromosomes Xq21 (GD3) and 14q31 (GD1). We studied a cohort of 75 sibling pairs with GD from the United Kingdom for linkage to 12 markers over a 83-cM region of the X chromosome and for 8 markers over a 36-cM region of 14q31-q33. A peak multipoint nonparametric linkage score of 2.21 (P = 0.014) was found at marker DXS8083 on Xp11, which increased to a nonparametric linkage score of 3.18 (P = 0.001) in data that had been conditioned for allele sharing at the CTLA-4 locus under an epistatic model. There was no evidence to support linkage of GD to Xq21.33-q22 (GD3) or at the 14q31-q33 (GD1) region in our population. A locus with a moderate contribution to GD susceptibility (lambda(s) = 1.4) is likely to exist in the Xp11 region, but we are unable to confirm that the GD1 or the GD3 regions contain major susceptibility loci in our United Kingdom GD population.

Abatacept↗

Semiparametric estimation of major gene effects for age of onset.

Analysis of age of onset is a key factor in the segregation and linkage analysis of some complex genetic traits. Previous work in the genetics literature has used parametric distributional assumptions on age of onset. In this paper, a Cox model with latent major gene effects is used: a semiparametric model with unspecified baseline hazard. A Monte Carlo EM procedure is used to obtain maximum likelihood estimates. Markov chain Monte Carlo is used to realize genotypic configurations from the posterior distribution given the current model and the observed data, and these genotypic configurations are used to estimate the expectations in the EM algorithm. Simulated data sets indicate that the parameters can be estimated well, and one real data set shows the practical applicability of the proposed method.

Age Distribution↗

Leishmania major infection of inbred mice: unmasking genetic determinants of infectious diseases.

Leishmania major infection of inbred mice leads to a major dichotomous response--death or survival--that depends on the strain of mice. This finding has motivated efforts to locate genetic determinants of disease susceptibility. Genotyping studies have confirmed a complex multilocus trait, but studies directed at the biology of the response suggest identifiable components of susceptibility that may direct the genetic investigations. A confluence of parasite variables--residence in macrophages class II-dependent immunity, and avoidance of early IL-12 induction--with host factors--a prominent helper T-cell precursor frequency to a dominant parasite epitope and a bias in IL-4 gene activation--conspires to drive an aberrant immune response in animals that suffer fatal disease. These insights may lead to an understanding of factors that focus responses on dominant antigens and that mold the naive T-cell repertoire. Collectively, such factors might contribute to the pathogenesis of other infectious and autoimmune diseases.

Animals↗

A general test of association for complex diseases with variable age of onset.

Analysis of age of onset is a key factor in linkage and association studies of some complex genetic traits. Recent methodological developments are mainly concentrated on binary or quantitative traits, in which age of onset information is ignored. We propose a linkage disequilibrium-based Cox model and a robust score test for testing association between a marker and a disease with variable age of onset. The proposed model is semi-parametric, with an unspecified baseline hazard function. Simulation results indicate that the proposed methods have correct error rates and good statistical power, even in the presence of population admixture. This approach offers a solution to the problem of testing for marker associations when there is a variable age of onset.

Age of Onset↗

A mixed epigenetic/genetic model for oligogenic inheritance of autism with a limited role for UBE3A.

The genetic contribution to autism is often attributed to the combined effects of many loci (ten or more). This conclusion is based in part on the much lower concordance for dizygotic (DZ) than for monozygotic (MZ) twins, and is consistent with the failure to find strong evidence for linkage in genome-wide studies. We propose that the twin data are compatible with oligogenic inheritance combined with a major, genetic or epigenetic, de novo component to the etiology. Based on evidence that maternal but not paternal duplications of chromosome 15q cause autism, we attempted to test the hypothesis that autism involves oligogenic inheritance (two or more loci) and that the Angelman gene (UBE3A), which encodes the E6-AP ubiquitin ligase, is one of the contributing genes. A search for epigenetic abnormalities led to the discovery of a tissue-specific differentially methylated region (DMR) downstream of the UBE3A coding exons, but the region was not abnormal in autism lymphoblasts or brain samples. Based on evidence for allele sharing in 15q among sib-pairs, abnormal DNA methylation at the 5'-CpG island of UBE3A in one of 17 autism brains, and decreased E6-AP protein in some autism brains, we propose a mixed epigenetic and genetic model for autism with both de novo and inherited contributions. The role of UBE3A may be quantitatively modest, but interacting proteins such as those ubiquitinated by UBE3A may be candidates for a larger role in an oligogenic model. A mixed epigenetic and genetic and mixed de novo and inherited (MEGDI) model could be relevant to other "complex disease traits".

Alleles↗

Alcohol and genetics: new models.

Alcoholism is a complex genetic trait; susceptibility is influenced by multiple genes of small effect. To pursue mechanistic studies, genetic animal models have been used. These models are partial, each addressing one or more of the contributing traits rather than the disease as a whole. Animal studies have modeled alcohol's rewarding effects, the development of tolerance, the pathological consequences to brain systems, and the dependence on alcohol inferred from the presence of withdrawal symptoms when the drug is removed. The classical genetic methods of inbred strain analysis and development and studies of selectively bred lines have been employed for more than 40 years. Recently, such studies have shown that a genetic tendency to experience severe withdrawal is associated with a tendency to avoid self-administration of alcohol. Also recently, attempts to identify the specific genes conferring risk or protection from alcohol's effects have been undertaken. These studies have used mapping techniques based on gene sequence polymorphisms, studies of gene expression differences, and the use of candidate gene targeting such as creation of null mutants. Studies reviewed here have mapped quantitative trait loci (QTL) for many genes affecting alcohol sensitivity, tolerance, reward, and withdrawal severity. The furthest progress in gene mapping has been made toward one withdrawal QTL on mouse chromosome 4. Using multiple congenic strains, the gene conferring increased withdrawal severity has been isolated to a region of less than 1 centiMorgan, containing fewer than 20 genes. A strong candidate gene, coding for a multiple PS095/DLG/Z0-1 (PDZ) binding domain zinc finger protein, cannot be excluded. Although many more such genes will be identified in the near future, their contribution to the mapped phenotype will be shown to be dependent on epistatic interactions with other risk genes, as well as genes in the animal's background. Progress in gene identification will also depend crucially on the precise description of the phenotypes being mapped so that their pleiotropic range of influence on the multi-behavioral phenotypic syndrome can be determined.

Alcoholism↗

Morphological and metrical comparison of San and Central Sotho dentitions from southern Africa.

Comparative morphological and metrical study of San and Central Sotho dentitions indicates that the teeth of the two samples are significantly different from one another. The San dental complex contains traits that add mass to the occlusal surface of microdontic dentitions: moderate low-grade UI1 (13.5%) and UI2 shoveling (24.7%), high Bushman canine (43.1%), fairly low UM2 hypocone reduction (23.3%), high UM2 cusp 5 (55.6%), high LM1 cusp 7 (35.2%), LM1 distal trigonid crest (7.1%), and LM2 deflecting wrinkle (5.3%), lack of reduction of LM1 and LM2 cusp number, in the presence of very low UM1 Carabelli's trait (6.7%) and high LM2 Y-groove (86.3%). Culturally, males occasionally exhibit filed UI1 and females are missing LI1. Conversely, mesodontic Central Sotho dentitions display a more simplified morphology, with the exception of moderately high incidence of UM1 Carabelli's trait (41.0%) and very high LM1 cusp 7 (71.3%). Discriminant analysis of mesiodistal and buccolingual diameters and tooth crown surface area data for the left maxillary teeth supports classification of San dentitions as microdont and Central Sotho dentitions as mesodont. Additionally, metrical analysis indicates that San teeth are more sexually dimorphic than are those of Central Sotho.

Adolescent↗

Structural adaptations of the femur and humerus to arboreal and terrestrial environments in three species of macaque.

One reason to measure cross-sectional structural properties of primate long bones is to define mechanically relevant complexes of traits that describe the adaptation of bone to different biomechanical environments. This can be effectively accomplished when congeneric species having different postural and locomotor behaviors are compared. This paper compares the cross-sectional geometry of the femur and humerus in three behaviorally different macaque species as a basis for defining such patterns. Cross-sectional moments of inertia in the standard anatomical planes were calculated at five locations along the diaphyses of the femur and humerus in Macaca fascicularis, M. nemestrina, and M. mulatta. The data suggest that the "barrel-shaped" femur is associated with behaviors for which long limbs and small body size are an asset. This may be associated with, but is not restricted to, leaping behaviors. The data also suggest that structural rigidity of the femur and humerus is greater per unit body weight in primates that spend significant amounts of time in terrestrial environments than in those that are more restricted to climbing in arboreal environments.

Analysis of Variance↗

Biomechanics of the hip and birth in early Homo.

A complex of traits in the femur and pelvis of Homo erectus and early "erectus-like" specimens has been described, but never satisfactorily explained. Here the functional relationships between pelvic and femoral structure in humans are explored using both theoretical biomechanical models and empirical tests within modern samples of diverse body form (Pecos Amerindians, East Africans). Results indicate that a long femoral neck increases mediolateral bending of the femoral diaphysis and decreases gluteal abductor and hip joint reaction forces. Increasing biacetabular breadth along with femoral neck length further increases M-L bending of the femoral shaft and maintains abductor and joint reaction forces at near "normal" levels. When compared to modern humans, Homo erectus and early "erectus-like" specimens are characterized by a long femoral neck and greatly increased M-L relative to A-P bending strength of the femoral shaft, coupled with no decrease in hip joint size and a probable increase in abductor force relative to body size. All of this strongly suggests that biacetabular breadth as well as femoral neck length was relatively large in early Homo. Several features preserved in early Homo partial hip bones also indicate that the true (lower) pelvis was very M-L broad, as well as A-P narrow. This is similar to the lower pelvic shape of australopithecines and suggests that nonrotational birth, in which the newborn's head is oriented transversely through the pelvic outlet, characterized early Homo as well as Australopithecus. Because M-L breadth of the pelvis is constrained by other factors, this may have limited increases in cranial capacity within Homo until rotational birth was established during the late Middle Pleistocene. During or after the transition to rotational birth biacetabular breadth decreased, reducing the body weight moment arm about the hip and allowing femoral neck length (abductor moment arm) to also decrease, both of which reduced M-L bending of the proximal femoral shaft. Variation in femoral structural properties within early Homo and other East African Early Pleistocene specimens has several taxonomic and phylogenetic implications.

Animals↗

Evaluations of maximization procedures for estimating linkage parameters under heterogeneity.

Locus heterogeneity is a major problem plaguing the mapping of disease genes responsible for complex genetic traits via linkage analysis. A common feature of several available methods to account for heterogeneity is that they involve maximizing a multidimensional likelihood to obtain maximum likelihood estimates. The high dimensionality of the likelihood surface may be due to multiple heterogeneity (mixing) parameters, linkage parameters, and/or regression coefficients corresponding to multiple covariates. Here, we focus on this nontrivial computational aspect of incorporating heterogeneity by considering several likelihood maximization procedures, including the expectation maximization (EM) algorithm and the stochastic expectation maximization (SEM) algorithm. The wide applicability of these procedures is demonstrated first through a general formulation of accounting for heterogeneity, and then by applying them to two specific formulations. Furthermore, our simulation studies as well as an application to the Genetic Analysis Workshop 12 asthma datasets show that, among other observations, SEM performs better than EM. As an aside, we illustrate a limitation of the popular admixture approach for incorporating heterogeneity, proved elsewhere. We also show how to obtain standard errors (SEs) for EM and SEM estimates, using methods available in the literature. These SEs can then be combined with the corresponding estimates to provide confidence intervals of the parameters.

Algorithms↗

Genetic Analysis Workshop II: multiple-locus segregation analysis incorporating linkage markers.

The workshop data were examined using a newly developed methodology (MILINK, Risch, 1984) for combined segregation, linkage, and association analysis of a complex disease trait in pedigree data. Results from problems two and three suggest that the method is powerful both for determining mode of disease inheritance and for resolution of linkage disequilibrium versus pleiotrophy (with epistasis) of marker alleles.

Alleles↗