Is drift ‘directional’? Unequal breeding sex ratio revisited

Unequal breeding sex ratio can significantly reduce effective population size, allowing a rare neutral allele to jump to a high frequency through genetic drift. However, this one-way alteration to allele frequency appears inconsistent with the concept that drift is non-directional. Based on binomial sampling distribution, this study developed a method to directly and exhaustively measure drift by calculating the mean deviation of change in allele frequency, then applied it to cases of unequal breeding sex ratio. The result shows that, under those cases, (1) the mean deviation can always be divided into two halves that are equal in size but opposite in direction; (2) each half consists of one or several categories represented by various allele proportions in the rare sex; (3) this proportion is another factor that determines the outcome of drift, in addition to effective population size and allele frequency; (4) drift is non-directional on a global scale, but whether an allele will drift up or down can be predicted based on the above factors. This method enables us to dissect every component of the expected change in allele frequency caused by drift and to find out the combined effect of population size, allele frequency and allele proportion in the rarer sex under neutrality but unequal breeding sex ratio.     

Analysis of the DRD4 gene polymorphism in populations of Russia and neighboring countries

Allele and genotype frequencies of the VNTR polymorphism in the third exon of human DRD4 gene were determined in 544 individuals living in Russia (Russians, Bashkirs, Tatars, and Mordovians) and in the neighboring countries (Kazakhs and Ukrainians). The data obtained were compared with the allele frequency distribution patterns reported for the populations of Eurasia. Similarly to other Eurasian populations, in our population samples R4 allele was prevalent (64 to 87%). The frequency of this allele in the populations of Western Europe constitute 61 to 71%, while in the populations of Asia it varies from 74 to 96%. In this respect, the populations studied occupied the intermediate position. In the samples examined the R7 allele frequency decreased from 7% in Ukrainians to 1% in Bashkirs, while in Kazakhs and Mordovians the allele was absent. This finding was consistent with the R7 allele distribution pattern in the populations of Eurasia, characterized by higher frequency in the West and lower frequency or absence of the allele in the East. In the group of 22 Eurasian populations, the R7 allele frequency negatively correlated with the frequency of the R4 allele (r = -0.86 at P < 0.001). Unlike the R4 and R7 alleles, the frequency of which changed in the eastward direction, the R2 allele frequency distribution displayed slightly expressed latitudinal increase southwards. The DRD4 genotype distribution deviated from the equilibrium in most of the samples examined. In some samples, statistically significant increase of the R2/R2 homozygotes frequency was demonstrated. One of the possible explanations of this phenomenon is assortative mating with respect to phenotypic (behavioral) allele manifestation. The data obtained can serve as the basis for the investigation of the possible role of the DRD4 alleles as the risk factors for the development of alcoholism and other types of addictions.     

The impact of library preparation protocols on the consistency of allele frequency estimates in Pool‐Seq data

Sequencing pools of individuals (Pool‐Seq) is a cost‐effective method to determine genome‐wide allele frequency estimates. Given the importance of meta‐analyses combining data sets, we determined the influence of different genomic library preparation protocols on the consistency of allele frequency estimates. We found that typically no more than 1% of the variation in allele frequency estimates could be attributed to differences in library preparation. Also read length had only a minor effect on the consistency of allele frequency estimates. By far, the most pronounced influence could be attributed to sequence coverage. Increasing the coverage from 30‐ to 50‐fold improved the consistency of allele frequency estimates by at least 27%. We conclude that Pool‐Seq data can be easily combined across different library preparation methods, but sufficient sequence coverage is key to reliable results.     

The genealogy, site frequency spectrum and ages of two nested mutant alleles

In this paper we consider the genealogy of two nested mutant alleles, assuming the constant-size neutral coalescent model with infinite sites mutation. We study the conditional genealogy and derive explicit formulas for the joint and marginal site frequency spectra for the double, single and zero mutant allele. In addition, we find the mean ages of the two mutations. We show that the age of the youngest mutation does not depend on the frequency of the single mutant allele and that the frequency spectra for the single mutant allele and the zero mutant allele are the same.     

SNP allele frequency estimation in DNA pools and variance components analysis

The estimation of single nucleotide polymorphism (SNP) allele frequency in pooled DNA samples has been proposed as a cost-effective approach to whole genome association studies. However, the key issue is the allele frequency window in which a genotyping method operates and provides a statistically reliable answer. We assessed the homogeneous mass extend assay and estimated the variance associated with each experimental stage. We report that a relationship between estimated allele frequency and variance might exist, suggesting that high statistical power can be retained at low, as well as high, allele frequencies. Assuming this relationship, the formation of subpools consisting of 100 samples retains an effective sample size greater than 70% of the true sample size, with a savings of 11-fold the cost of an individual genotyping study, regardless of allele frequency.     

Analysis of the DRD4 Gene Polymorphism in Populations of Russia and Neighboring Countries

Allele and genotype frequencies of the VNTR polymorphism in the third exon of humanDRD4 gene were determined in 544 individuals living in Russia (Russians, Bashkirs, Tatars, and Mordovians) and in the neighboring countries (Kazakhs and Ukrainians). The data obtained were compared with the allele frequency distribution patterns reported for the populations of Eurasia. Similarly to other Eurasian populations, in our population samples R4 allele was prevalent (64 to 87%). The frequency of this allele in the populations of Western Europe constitute 61 to 71%, while in the populations of Asia it varies from 74 to 96%. In this respect, the populations studied occupied the intermediate position. In the samples examined the R7 allele frequency decreased from 7% in Ukrainians to 1% in Bashkirs, while in Kazakhs and Mordovians the allele was absent. This finding was consistent with theR7 allele distribution pattern in the populations of Eurasia, characterized by higher frequency in the West and lower frequency or absence of the allele in the East. In the group of 22 Eurasian populations, the R7 allele frequency negatively correlated with the frequency of the R4 allele (r = -0.86 at P < 0.001). Unlike the R4 and R7 alleles, the frequency of which changed in the eastward direction, the R2 allele frequency distribution displayed slightly expressed latitudinal increase southwards. The DRD4 genotype distribution deviated from the equilibrium in most of the samples examined. In some samples, statistically significant increase of the R2/R2homozygotes frequency was demonstrated. One of the possible explanations of this phenomenon is assortative mating with respect to phenotypic (behavioral) allele manifestation. The data obtained can serve as the basis for the investigation of the possible role of the DRD4 alleles as the risk factors for the development of alcoholism and other types of addictions.     

The relationship between homozygosity and the frequency of the most frequent allele

Homozygosity is a commonly used summary of allele-frequency distributions at polymorphic loci. Because high-frequency alleles contribute disproportionately to the homozygosity of a locus, it often occurs that most homozygotes are homozygous for the most frequent allele. To assess the relationship between homozygosity and the highest allele frequency at a locus, for a given homozygosity value, we determine the lower and upper bounds on the frequency of the most frequent allele. These bounds suggest tight constraints on the frequency of the most frequent allele as a function of homozygosity, differing by at most 14 and having an average difference of 23 - pi(2)/18 approximately 0.1184. The close connection between homozygosity and the frequency of the most frequent allele-which we illustrate using allele frequencies from human populations-has the consequence that when one of these two quantities is known, considerable information is available about the other quantity. This relationship also explains the similar performance of statistical tests of population-genetic models that rely on homozygosity and those that rely on the frequency of the most frequent allele, and it provides a basis for understanding the utility of extended homozygosity statistics in identifying haplotypes that have been elevated to high frequency as a result of positive selection.     

Testing for association based on excess allele sharing in a sample of related cases and controls

Samples consisting of a mix of unrelated cases and controls, small pedigrees, and much larger pedigrees present a unique challenge for association studies. Few methods are available for efficient analysis of such a broad spectrum of data structures. In this paper we introduce a new matching statistic that is well suited to complex data structures and compare it with frequency-based methods available in the literature. To investigate and compare the power of these methods we simulate datasets based on complex pedigrees. We examine the influence of various levels of linkage disequilibrium (LD) of the disease allele with a marker allele (or equivalently a haplotype). For low frequency marker alleles/haplotypes, frequency-based statistics are more powerful in detecting association. In contrast, for high frequency marker alleles, the matching statistic has greater power. The highest power for frequency-based statistics occurs when the disease allele frequency closely matches the frequency of the linked marker allele. In contrast maximum power of the matching statistic always occurs for intermediate marker allele frequency regardless of the disease allele frequency. Moreover, the matching and frequency-based statistics exhibit little correlation. We conclude that these two approaches can be viewed as complementary in finding possible association between a disease and a marker for many different situations.     

Importance of allele frequency estimates in epidemiological studies

This study addresses the issue of appropriate allelic frequency estimates in epidemiological studies. Reasons for imprecise estimate of allele frequency may be population stratification, and lack of power of many published studies to define true allele frequencies in the general population. As an example of the lack of power of epidemiological studies, we plot the frequency of GSTM1 deletion versus sample size for the 79 studies from the GSEC pooled analysis. The estimate of allele frequency derived from small groups of controls deviates more from the true frequency than the estimate derived from larger studies. We discuss the possible consequences of not properly defining allele frequencies in the population. This may reflect on the conduct of association studies, on assessment of the effects of multigenic mechanisms, and on the determination of genetic diversity.     

Frequency and fitness cost of resistance to Bacillus thuringiensis in Chrysomela tremulae (Coleoptera: Chrysomelidae)

The "high dose-refuge" (HDR) strategy is commonly recommended and currently used for delaying or preventing pest adaptation to transgenic plants producing Bacillus thuringiensis (Bt) toxins. The efficiency of this strategy depends, among other factors, on the initial frequency of Bt resistance alleles and on the fitness costs associated with these alleles. Two years ago, an allele conferring resistance to Bt poplar was detected in a French population of the poplar pest Chrysomela tremulae F. Although this pest had never been subjected to Bt selection pressure due to human activities, the frequency of this allele was estimated at 0.0037, with a 95% credible (CI) interval of 0.00045-0.0080. We investigated the frequency of this allele in a second sample of C. tremulae collected more than 500 km from the site of the initial population. The estimated frequency in this sample was 0.0113 (95% CI 0.0031-0.0247), reinforcing the conclusion that resistance to Bt plants may be present at detectable frequencies in pest populations before selection resulting from pest management by humans. The frequency of the Bt resistance allele over the two samples was 0.0049 (95% CI 0.0020-0.0091). We also followed five laboratory lines in which the frequency of this allele was initially fixed at 0.500. After five generations maintained on non-Bt poplar leaves, the frequency of this allele decreased in all lines, whereas allelic frequencies at a neutral locus were unaffected. Thus, the Bt resistance allele detected in French populations of C. tremulae is probably associated with a fitness cost.     

Geographic differences in the allele frequencies of the human Y-linked tetranucleotide polymorphism DYS19

We have studied the allele frequency distribution of the microsatellite locus DYS 19 in several populations with different geographical origins worldwide. Three new alleles were found. In addition, remarkable geographic and ethnic differences were observed in the allele frequency profiles and DNA marker (gene) diversity among populations and major ethnic groups. Amerindians showed an overwhelming predominance of the A allele, while in Caucasians the B allele was modal, and in Greater Asians and Africans allele C became predominant. Even within these geographic regions there were significant gradients, as exemplified by the decreasing frequency profile of the B allele from Great Britain over Germany to Slovakia. Thus, DYS 19 emerges as a useful tool for studying the structure and dynamics of human populations.     

Transferrin subtypes in 11 south China minority populations.

Transferrin subtypes were determined by isoelectric focussing (IEF) in a total of 2,121 individuals from 11 South China minority populations. The C1, C2 and DCHI alleles were present in all the populations; B alleles were lacking, C4 was found in 3 populations and C3 in 6. C2 and C4 allele frequencies are notable in these minority groups. The frequency of the C2 allele was higher (0.25-0.38) than that of Han Chinese (0.18-0.25). In Bai the C2 frequency was as high as 0.38. The C4 allele was present at a low frequency (less than 0.01), which suggests that this allele probably existed in the ancestral Mongoloid population at a low frequency and increased in frequency in Amerindians due to genetic drift or other factors.     

Methylenetetrahydrofolate reductase (MTHFR). Incidence of the C677T mutation in a Siberian female population

We have studied the distribution of genotypes of the MTHFR gene among the Siberian female population and compared it with the frequency of this mutation in different populations. The TT genotype and the T allele frequency in 299 women from Novosibirsk (West Siberia) was determined. The presence of the C677T allele was determined by PCR and Hinf I digestion. The homozygous genotype TT was detected in 8.69% of the population sample. The frequency of the C677T mutant allele was found to be 0.290.     

Estimation of allele frequency in pooled DNA by using PCR–RFLP combined with microchip electrophoresis

Biallelic marker, most commonly single nucleotide polymorphism (SNP), is widely utilized in genetic association analysis, which can be speeded up by estimating allele frequency in pooled DNA instead of individual genotyping. Several methods have shown high accuracy and precision for allele frequency estimation in pools. Here, we explored PCR restriction fragment length polymorphism (PCR–RFLP) combined with microchip electrophoresis as a possible strategy for allele frequency estimation in DNA pools. We have used the commercial available Agilent 2100 microchip electrophoresis analysis system for quantifying the enzymatically digested DNA fragments and the fluorescence intensities to estimate the allele frequencies in the DNA pools. In this study, we have estimated the allele frequencies of five SNPs in a DNA pool composed of 141 previously genotyped health controls and a DNA pool composed of 96 previously genotyped gastric cancer patients with a frequency representation of 10–90% for the variant allele. Our studies show that accurate, quantitative data on allele frequencies, suitable for investigating the association of SNPs with complex disorders, can be estimated from pooled DNA samples by using this assay. This approach, being independent of the number of samples, promises to drastically reduce the labor and cost of genotyping in the initial association analysis.     

Apolipoprotein E polymorphism in the Indian and Mestizo populations of Mexico

Apolipoprotein E (APOE) genotypes were determined in 75 Mazatecan Indians and 83 Mexican mestizos. APOE allele and genotype frequencies in Mazatecans and mestizos were similar, with high frequencies of the APOE*3 allele (0.900 and 0.915, respectively) and the E3/3 genotype (0.813 and 0.831, respectively) and an absence in both samples of the APOE*2 allele. Our data are similar to those previously described for Mexican-American and Mayan populations, which show the highest frequency worldwide of the APOE*3 allele and the E3/3 genotype. Mazatecans and mestizos also show a decreased frequency of the APOE*4 allele when compared to other Amerindian groups. The absence of the APOE*2 allele has also been reported in other Amerindian groups such as Mayans and Cayapa, whereas in Caucasians the average frequency of this allele is about 8%. Our data are in agreement with previous reports showing absence of the APOE*2 allele in Native American groups. These findings suggest that the APOE*2 allele was absent in humans from northern Asia who settled in the Arctic and populated the American continent.     

Association of transferrin C2 allele with late-onset Alzheimer’s disease

Transferrin (Tf), an iron-transporting protein, has many variants, but C1 and C2 variants account for the majority of the population in all races. Since Tf is reported to be immunocytochemically detectable in senile plaques in Alzheimer’s disease (AD), we have examined the Tf allele frequency among AD patients. The C2 allele frequency in late-onset AD patients is significantly higher than that in age-matched controls. Unexpectedly, the C2 allele frequency in AD patients homozygous for the ApoE ɛ4 allele is markedly increased, i.e., it is twice as high as that in the remaining AD patients carrying zero or one copy of the ɛ4 allele. Received: 28 May 1997 / Accepted: 7 August 1997     

Variations in angiotensin-converting enzyme gene insertion/deletion polymorphism in Indian populations of different ethnic origins

The pattern of angiotensin-converting enzyme (ACE) gene insertion/deletion (I/D) polymorphism in the Indian population is poorly known. In order to determine the status of the polymorphism, young unrelated male army recruits were screened. The population had cultural and linguistic differences and lived in an environment that varied significantly from one region to another. Analysis of the genotype, showed higher frequency of the insertion allele in four of the five groups i.e. I allele frequency was significantly higher (P< 005) in Dogras, Assamese and Kumaonese. The deletion allele frequency was comparatively higher in the fifth group that belonged to Punjab. A correlation was observed between the genotype and enzyme activity. Involvement of a single D allele in the genotype enhanced the activity up to 37.56 ± 313%. The results suggested ethnic heterogeneity with a significant gene cline with higher insertion allele frequency. Such population-based data on various polymorphisms can ultimately be exploited in pharmacogenomics.     

不同QTL增效基因初始频率下标记辅助选择的效果

采用随机模拟方法模拟了在一个闭锁群体内连续对单个性状选择10个世代的情形。在假定选择性状受一个位于常染色体上的QTL和多基因共同控制的情况下,采用动物模型标记辅助最佳线性无偏预测方法估计个体育种值并据此进行种畜的选留,并在此基础上系统地比较了QTL增效基因初始频率对标记辅助选择效果的影响。结果表明：当群体中QTL增效基因的初始频率较低时,选择所获得的QTL基因型值的进展会更大,标记辅助选择在单位时间内可获得较大的遗传进展;此时,尽管QTL增效基因在群体中固定所需的世代数会更长一些,但其频率上升的速度却更快。而QTL增效基因初始频率的高低对群体近交增量的影响不是很大。     

西方蜜蜂六个亚种苹果酸脱氢酶Ⅱ基因的遗传差异

研究了西方蜜蜂Apis mellifera 6亚种-浙农大1号意蜂（ZND A. m. ligustica）、东北黑蜂（A. m. ssp.）、卡尼鄂拉蜂（A. m. carnica）、喀尔巴阡蜂（A. m. carpatica）、高加索蜂（A. m. caucasica）和乌克兰蜂（A. m. acervorum）苹果酸脱氢酶Ⅱ的基因型频率、基因频率和杂合纯合度。浙农大1号意蜂、喀尔巴阡蜂和高加索蜂的纯合度较高,但浙农大1号意蜂等位基因c频率最高,喀尔巴阡蜂等位基因b频率最高, 高加索蜂等位基因a频率最高;东北黑蜂、卡尼鄂拉蜂和乌克兰蜂是高度杂合的亚种,但东北黑蜂等位基因a、b、c的频率差异较小,卡尼鄂拉蜂和乌克兰蜂主要存在a、c两个等位基因,b出现频率很小;6亚种的基因型频率、基因频率和杂合纯合度都有极显著差异。这些差异将从遗传和生化角度为西方蜜蜂6个亚种的鉴别提供依据。