Counting Alleles with Rarefaction: Private Alleles and Hierarchical Sampling Designs

The number of alleles (allelic richness) in a population is a fundamental measure of genetic variation, and a useful statistic for identifying populations for conservation. Estimating allelic richness is complicated by the effects of sample size: large samples are expected to have more alleles. Rarefaction solves this problem. This communication extends the rarefaction procedure to count private alleles and to accommodate hierarchical sampling designs.     

The Sampling Distribution of Disease-Associated Alleles

A theory is developed that provides the sampling distribution of low frequency alleles at a single locus under the assumption that each allele is the result of a unique mutation. The numbers of copies of each allele is assumed to follow a linear birth-death process with sampling. If the population is of constant size, standard results from theory of birth-death processes show that the distribution of numbers of copies of each allele is logarithmic and that the joint distribution of numbers of copies of k alleles found in a sample of size n follows the Ewens sampling distribution. If the population from which the sample was obtained was increasing in size, if there are different selective classes of alleles, or if there are differences in penetrance among alleles, the Ewens distribution no longer applies. Likelihood functions for a given set of observations are obtained under different alternative hypotheses. These results are applied to published data from the BRCA1 locus (associated with early onset breast cancer) and the factor VIII locus (associated with hemophilia A) in humans. In both cases, the sampling distribution of alleles allows rejection of the null hypothesis, but relatively small deviations from the null model can account for the data. In particular, roughly the same population growth rate appears consistent with both data sets.     

The Deterministic Behavior of Self-Incompatibility Alleles

For a system of n self-incompatibility alleles, neglecting mutation and random drift, it is shown that the completely symmetric equilibrium is locally stable, and any allelic frequency less than q = 1+a-(see PDF), where a = [2(n - 1)]^-1, will increase. For all n, q > (2n)^-1, but if n > > 1, q ≈ (2n)^-1.     

HLA-DRB1 等位基因的多态性及其应用

HLA系统参与和调节机体免疫功能,是人类重要的遗传标志,具有种族、地域差异.HLA-Ⅱ类系统中DRB1等位基因的多态性最丰富,它的准确分型直接影响器官移植的供体选择、法医学个体认定、HLA与疾病相关性及人类学等研究.本文综述了HLA-DRB1分型检测方法,不同种族人群HLA-DRB1等位基因的多态性,HLA-DRB1多态性研究在探讨人类起源、民族融合方面的价值,HLA-DRB1与肝炎、系统性红斑狼疮等疾病的相关性等.     

BMI-Associated Alleles Do Not Constitute Risk Alleles for Polycystic Ovary Syndrome Independently of BMI: A Case-Control Study

Introduction

Polycystic Ovary Syndrome (PCOS) has a strong genetic background and the majority of patients with PCOS have elevated BMI levels. The aim of this study was to determine to which extent BMI-increasing alleles contribute to risk of PCOS when contemporaneous BMI is taken into consideration.

Methods

Patients with PCOS and controls were recruited from the United Kingdom (563 cases and 791 controls) and The Netherlands (510 cases and 2720 controls). Cases and controls were of similar BMI. SNPs mapping to 12 BMI-associated loci which have been extensively replicated across different ethnicities, i.e., BDNF, FAIM2, ETV5, FTO, GNPDA2, KCTD15, MC4R, MTCH2, NEGR1, SEC16B, SH2B1, and TMEM18, were studied in association with PCOS within each cohort using the additive genetic model followed by a combined analysis. A genetic allelic count risk score model was used to determine the risk of PCOS for individuals carrying increasing numbers of BMI-increasing alleles.

Results

None of the genetic variants, including FTO and MC4R, was associated with PCOS independently of BMI in the meta-analysis. Moreover, no differences were observed between cases and controls in the number of BMI-risk alleles present and no overall trend across the risk score groups was observed.

Conclusion

In this combined analysis of over 4,000 BMI-matched individuals from the United Kingdom and the Netherlands, we observed no association of BMI risk alleles with PCOS independent of BMI.     

HLA—DRB1等位基因的多态性及其应用

HLA系统参与和调节机体免疫功能,是人类重要叫遗传标志,具有种族、地域差异。HLA—Ⅱ类系统中DRB1等位基因的多态性最丰富,它的准确分型直接影响器官移植的供体选择、法医学个体认定、HLA与疾病相关性及人类学等研究。本文综述了HLA—DRB1分型检测方法,不同种族人群HLA-DRB1等位基因的多态性,HLA—DRB1多态性研究在探讨人类起源、民族融合方面的价值,HLA—DRB1与肝炎、系统性红斑狼疮等疾病的相关性等。     

两对等位基因群体熵的性质

研究了两对等位基因群体熵的性质,并对位点多样度D与基因相对信息量多样度S′(G)进行了比较研究．结果表明,在遗传变异的度量上,位点多样度D与基因相对信息量多样度S′(G)具有一致性,且S′(G)还具有信息学内涵．     

Estimating Relatedness in the Presence of Null Alleles

Studies of genetics and ecology often require estimates of relatedness coefficients based on genetic marker data. However, with the presence of null alleles, an observed genotype can represent one of several possible true genotypes. This results in biased estimates of relatedness. As the numbers of marker loci are often limited, loci with null alleles cannot be abandoned without substantial loss of statistical power. Here, we show how loci with null alleles can be incorporated into six estimators of relatedness (two novel). We evaluate the performance of various estimators before and after correction for null alleles. If the frequency of a null allele is <0.1, some estimators can be used directly without adjustment; if it is >0.5, the potency of estimation is too low and such a locus should be excluded. We make available a software package entitled PolyRelatedness v1.6, which enables researchers to optimize these estimators to best fit a particular data set.     

Evolutionary Dynamics of Sporophytic Self-Incompatibility Alleles in Plants

The stationary frequency distribution and allelic dynamics in finite populations are analyzed through stochastic simulations in three models of single-locus, multi-allelic sporophytic self-incompatibility. The models differ in the dominance relationships among alleles. In one model, alleles act codominantly in both pollen and style (SSIcod), in the second, alleles form a dominance hierarchy in pollen and style (SSIdom). In the third model, alleles interact codominantly in the style and form a dominance hierarchy in the pollen (SSIdomcod). The SSIcod model behaves similarly to the model of gametophytic self-incompatibility, but the selection intensity is stronger. With dominance, dominant alleles invade the population more easily than recessive alleles and have a lower frequency at equilibrium. In the SSIdom model, recessive alleles have both a higher allele frequency and higher expected life span. In the SSIdomcod model, however, loss due to drift occurs more easily for pollen-recessive than for pollen-dominant alleles, and therefore, dominant alleles have a higher expected life span than the more recessive alleles. The process of allelic turnover in the SSIdomcod and SSIdom models is closely approximated by a random walk on a dominance ladder. Implications of the results for experimental studies of sporophytic self-incompatibility in natural populations are discussed.     

Independence of Vntr Alleles Defined as Fixed Bins

An analysis is presented of data collected by the Federal Bureau of Investigation at six unlinked variable number of tandem repeats (VNTR) loci for the United States population. Databases have been constructed of VNTR profiles of Caucasians, Blacks and Hispanics from Florida, Texas and California. There was very little evidence for correlations between lengths for pairs of VNTR fragments, within or between loci. When the fragment lengths were amalgamated into discrete bins, there was also little evidence for disequilibrium over all genotypes, within or between loci, for the Caucasian database, although some disequilibrium was found for the Black and Hispanic databases. No disequilibrium was found for the Caucasian or Black databases when tests were confined to heterozygous individuals. In cases of global disequilibrium, local tests can be applied to specific genotypes. The results suggest that, at the bin level, frequencies of VNTR profiles can generally be estimated as the products of the frequencies of the constituent elements. This overcomes the problem of estimating population frequencies when any particular profile does not exist in the database. There is some evidence for different frequencies, at the individual bin level, between geographic samples within each of the Caucasian, Black and Hispanic databases, and considerable evidence for differences between the three databases. These differences are less evident for the frequencies of four-locus profiles.