关于最大信息熵原理与群体遗传平衡一致性的探讨

汪小龙等建立了用最大信息熵原理推导一个基因座上群体遗传平衡的统一数学模型,并给出了模型的最大值解,此解正是Hardy-Weinberg平衡定律所给出的基因型频率。这说明当群体基因型信息熵最大时,群体基因型频率不再变化,达到平衡状态,从而证明了最大信息熵原理与Hardy-Weinberg平衡定律具有一致性,同时指出这一结论可以推广至有迁移、突变、选择、遗传漂变、近亲交配的群体以及多个基因座情形。概括地说就是：最大信息熵原理与群体遗传平衡具有一致性。但是,他们仅仅证明了最大信息熵原理与一个基因座上Hardy-Weinberg平衡定律具有一致性,本文在这个范围内将其推广至多个基因座,且每一个基因座均为复等位基因情形。至于最大信息熵原理是否与其它的群体遗传平衡具有一致性,他们的结论仅仅是猜想,并未严格推导。事实上,要想将这种一致性推广到迁移、突变、随机漂变和近亲交配等群体,则不见得正确。      

Genetic erosion in northern marginal population of the common wild rice Oryza rufipogon Griff. and its conservation, revealed by the change of population genetic structure

In order to monitor genetic erosion within the northern marginal population of common wild rice Oryza rufipogon Griff. from Dongxiang, Jiangxi Province, China, allozyme diversity encoded by 22 loci was analyzed electrophoretically from all the existing subpopulations in 1980, 1985 and 1994. The sample collected from the nine large subpopulations in 1980 showed the highest levels of genetic diversity (A = 1.27, P = 18.20%, Ho = 0.042 and He = 0.049) and a slight deviation from Hardy-Weinberg expectation (F = 0.143), the sample from five moderate ones in 1985 displayed medium levels of genetic diversity (A = 1.14, P = 13.60%, Ho = 0.008 and He = 0.049) and a great deviation from Hardy-Weinberg expectation (F = 0.837), and the sample from two small ones in 1994 demonstrated the lowest levels of genetic diversity (A = 1.09, P = 9.10%, Ho = 0.000 and He = 0.043) and the largest deviation from Hardy-Weinberg expectation (F = 1.000). The results not only documented the genetic erosion stemmed from the extinction of the subpopulations, but also revealed the drastic change of the population genetic structure due to the reduction of the population. Finally, some conservation strategies for the population are proposed.     

Modifiers of mutation rate: a general reduction principle

A deterministic two-locus population genetic model with random mating is studied. The first locus, with two alleles, is subject to mutation and arbitrary viability selection. The second locus, with an arbitrary number of alleles, controls the mutation at the first locus. A class of viability-analogous Hardy-Weinberg equilibria is analyzed in which the selected gene and the modifier locus are in linkage equilibrium. It is shown that at these equilibria a reduction principle for the success of new mutation-modifying alleles is valid. A new allele at the modifier locus succeeds if its marginal average mutation rate is less than the mean mutation rate of the resident modifier allele evaluated at the equilibrium. Internal stability properties of these equilibria are also described.     

DXS6804/DXS9896/GATA144D04基因座在中国汉族群体中的遗传多态性及其法医学应用Genetic

为了调查X染色体上DXS6804、DXS9896和 GATA144D04等3个STR基因座在中国汉族群体的遗传多态性及其法医学应用价值,来用PCR和聚丙烯酰胺凝胶电泳对X染色体3个STR基因座进行分型,并检验女性基因型频率分布是否符合Hardy-Weinberg平衡,计算法医学常用各种概率。DXS6804、DXS9896和 GATA144D04的非父排除率分别为0.5990、0.6220、0.4280,表明3个STR基因座在中国汉族群体均具有遗传多态性,χ2检验表明女性的基因型频率分布符合Hardy-Weinberg平衡。X染色体上的基因座DXS6804、DXS9896和 GATA144D04在中国汉族群体中具有较高的遗传多态性,可应用于法医学检验和群体遗传学分析。 Abstract： To investigate the genetic polymorphisms of three short tandem repeats loci of chromosome X in Chinese Han population in Chengdu area and its use in forensic science. Three X-chromosome linked short tandom repeat loci were analyzed by PCR followed by polyacrylamide gel electrophoresis. Hardy-Weinberg equilibrium was tested and forensic interested value was calculated .The power of exlcution of DXS6804、DXS9896和 GATA144D04 is 0.5990、0.6220、0.4280,respectively. The result showed that all the three STR loci were polymorphic among 100 unrelated females and 120 unrelated males from Chinese Han population. χ2 tests demonstrated that genotype frequencies in females did not depart from Hardy-Weinberg equilibrium. Three X-chromosome linked short tandem repeat loci have high polymorphism, they can be applied to forensic medicine and population genetics.     

Rethinking Hardy-Weinberg and genetic drift in undergraduate biology

Population genetics is often taught in introductory biology classes, starting with the Hardy-Weinberg principle (HWP) and genetic drift. Here I argue that teaching these two topics first aligns neither with current expert knowledge, nor with good pedagogy. Student difficulties with mathematics in general, and probability in particular, make population genetics difficult to teach and learn. I recommend an alternative, historically inspired ordering of population genetics topics, based on progressively increasing mathematical difficulty. This progression can facilitate just-in-time math instruction. This alternative ordering includes, but does not privilege, the HWP and genetic drift. Stochastic events whose consequences are felt within a single generation, and the deterministic accumulation of the effects of selection across multiple generations, are both taught before tackling the stochastic accumulation of the effects of accidents of sampling.     

一个具选择、突变、迁移的群体的遗传差分模型

假设一个群体是由“单位点—双基因”的个体所组成的,在该群体内存在选择、突变、迁移、生死等效应的作用。本文给出了在上述假设下并满足:(1)世代重叠,选择、突变、迁移、生死等效应的作用均在世代遗传之间完成;(2)群体适当大,个体间交配随机,符合孟德尔式遗传;(3)没有任何意外的灾祸等约定的群体遗传的数学模型。通过模型分析,我们能够进一步用数学语言来解释一些生命现象。模型分析指出:虽然某些群体不满足Hardy-Weinberg定律所叙述的条件,但可能具有和Hardy-Weinberg定律的结论相似的结果。该文中还就几个主要参数的变化讨论了群体遗传和进化的某些性质,如平衡等。最后,我们给出了该模型的一个数值例子。     

On Nonrandom Mating Systems for Attaining Hardy-Weinberg Equilibrium

LI (1988) showed that random mating is a sufficient, not a necessary condition for the Hardy-Weinberg principle. A nonrandom mating population that behaves like a random mating population is thus called a ‘pseudo-random mating population’ by him. The pseudo-random mating system studied by him has been focused on those populations in which the parental generation is in Hardy-Weinberg proportions. In other words, the mating type frequency deviations from random mating for each parental genotype add up to zero. In this article these restrictions are relaxed and new pseudo-random mating systems that immediately yield Hardy-Weinberg offspring are also obtained. This is possible because reciprocal crosses have identical segregation probabilities for an autosomal locus, and the manipulation of the combined frequency of reciprocal crosses does not change the gene frequency of the population. A comparison of these new patterns with that of Li is given in the Discussion.     

The effect of close relatives on unsupervised Bayesian clustering algorithms in population genetic structure analysis

The inference of population genetic structures is essential in many research areas in population genetics, conservation biology and evolutionary biology. Recently, unsupervised Bayesian clustering algorithms have been developed to detect a hidden population structure from genotypic data, assuming among others that individuals taken from the population are unrelated. Under this assumption, markers in a sample taken from a subpopulation can be considered to be in Hardy-Weinberg and linkage equilibrium. However, close relatives might be sampled from the same subpopulation, and consequently, might cause Hardy-Weinberg and linkage disequilibrium and thus bias a population genetic structure analysis. In this study, we used simulated and real data to investigate the impact of close relatives in a sample on Bayesian population structure analysis. We also showed that, when close relatives were identified by a pedigree reconstruction approach and removed, the accuracy of a population genetic structure analysis can be greatly improved. The results indicate that unsupervised Bayesian clustering algorithms cannot be used blindly to detect genetic structure in a sample with closely related individuals. Rather, when closely related individuals are suspected to be frequent in a sample, these individuals should be first identified and removed before conducting a population structure analysis.     

Violations of the ceiling principle: exact conditions and statistical evidence.

The National Research Council recommended the use of the ceiling principle in forensic applications of DNA testing on the grounds that the ceiling principle was believed to be "conservative," giving estimates greater than or equal to the actual genotype frequencies in the appropriate reference population. We show here that the ceiling principle can fail to be conservative in a population with two subpopulations and two loci, each with two alleles at Hardy-Weinberg equilibrium, if there is some linkage disequilibrium between loci. We also show that the ceiling principle can fail in a population with two subpopulations and a single locus with two alleles if Hardy-Weinberg equilibrium does not hold. We give explicit analytical formulas to describe when the ceiling principle fails. By showing that the ceiling principle is not always mathematically reliable, this analysis gives users of the ceiling principle the responsibility of demonstrating that it is conservative for the particular data with which it is used. Our reanalysis of VNTR data bases of the FBI provides compelling evidence of two-locus associations within three major ethnic groups (Caucasian, black, and Hispanic) in the United States, even though the loci tested are located on different chromosomes. Before the ceiling principle is implemented, more research should be done to determine whether it may be violated in practice.     

鄱阳湖日本沼虾15个群体遗传多样性的微卫星分析

利用徽卫星分子标记研究鄱阳湖15个日本沼虾(Macrobrachium nipponense野生群体的遗传多样性.结果表明:10个微卫星位点呈高度多态性,共检测到129个多态性位点;每个群体中至少有5个位点显著偏离Hardy-Weinberg平衡,表现出杂合不足;15个日本沼虾群体均表现出较高的遗传多样性,其中大坝外群体和星池群体遗传多样性较高,万户和湖口群体相对较低.瓶颈效应和突变-漂移平衡分析表明,鄱阳湖日本沼虾群体近期没有经历过瓶颈效应,群体数量也没有下降.群体间F统计量及AMOVA分析显示,鄱阳湖日本沼虾群体存在极显著的遗传分化程度(FST=0.04709,P＜O.01).综上所述,鄱阳湖日本沼虾群体具有丰富的遗传多样性,可作为日本沼虾选育的基础群.     

遗传多样性的取样策略

合理取样是生物多样性有效保护、利用和研究所面临的最基本问题 ,它在很大程度上受到植物自身的生物学特性、环境条件和取样目的的影响。遗传多样性的取样策略是指对一定地理分布范围内的生物个体取样时 ,使样本具有代表性和包含尽可能多的遗传变异的最佳取样方法 ,包括了取样数目 (一个给定区域的居群数和一个居群的个体数 )以及取样方式。包括“哈迪 温伯格平衡 (Hardy WeinbergEquilibrium)”定律在内的居群遗传学基本原理是研究取样策略的理论基础 ,在此基础上可以对居群内的取样个体数及应获取的居群数进行理论计算 ,同时还可以根据物种居群的遗传结构特点和环境条件的异质性来决定取样的方式。因此 ,应该依据研究对象本身的特点和取样的目的来确定某一特定区域的居群取样数 ,以及某一居群内的样本数及取样方式。     

应用微卫星标记研究Dunkin Hartley豚鼠封闭群的遗传背景

目的检测我国现有Dunkin Hartley豚鼠封闭的遗传背景,分析评估其遗传多样性水平和遗传分离情况,为建立标准化的豚鼠封闭群监测方法提供基础资料。方法应用筛选获得的8个微卫星位点,从一个数量为1000的豚鼠封闭群中随机选择72个个体,通过PCR扩增和聚丙烯酰胺凝胶电泳的方法,进行等位基因检测。并根据检测结果分析评估了该豚鼠封闭群的遗传现状。结果共检测到28个等位基因,每个座位的等位基因数为2～5个,有效等位基因数为1.5191～3.4422,平均2.3093。平均期望杂合度为0.5294。各位点多态信息含量在0.3154～0.6545之间,平均值为0.4687。有5个位点显著偏离Hardy-Weinberg平衡。结论豚鼠封闭群的遗传多态性处于中等水平,遗传平衡检测结果提示种群的繁殖过程未能实现完全随机交配,近交现象一定程度上存在。本研究的结果将为豚鼠封闭群遗传监测方法和标准的建立提供基础。     

Allele frequencies of 6 autosomal STR loci in the Xibo nationality with phylogenetic structure among Chinese populations

In the present study, we investigated the genetic polymorphisms of 6 autosomal STR loci Hum-CSF1PO, D13S317, D5S818, D16S539, TH01, and TPOX in the Xibo population of Liaoning, northeastern China as well as its genetic relationships with other populations in China. No significant deviations from Hardy-Weinberg equilibrium could be found for all loci. Allele frequencies in the Xibo population ranged from 0.001 to 0.507. Among all the 6 loci, D16S539 had the highest polymorphism (PIC = 0.8632), whereas TPOX had the lowest (PIC = 0.5179). A phylogenic tree was constructed using Poptree 2 software. In the phylogenic tree, Xibo population has a distant relationship with the other populations.     

Isolation and characteristics of 10 microsatellite markers from the endangered coconut crab (Birgus latro)

The coconut crab (Birgus latro), an endangered marine-dispersed crustacean, is facing severe and probably accelerating population extinction worldwide, but biological information on its conservation remains deficient. In order to reveal the genetic structure of B. latro, 10 microsatellite loci were developed. A high degree of polymorphism was observed with a mean number of alleles per locus of 16.9. The mean expected heterozygosities were also high, ranging from 0.742 to 0.965. The observed heterozygosities ranged from 0.210 to 0.925. Departures from Hardy-Weinberg equilibrium were observed at five loci after the Bonferroni correction. These hypervariable markers will be utilized to study the genetic diversity and conservation of B. latro throughout its distribution range in the Pacific and Indian Oceans.     

Adaptive two-stage analysis of genetic association in case-control designs

We study a two-stage analysis of genetic association for case-control studies. In the first stage, we compare Hardy-Weinberg disequilibrium coefficients between cases and controls and, in the second stage, we apply the Cochran- Armitage trend test. The two analyses are statistically independent when Hardy-Weinberg equilibrium holds in the population, so all the samples are used in both stages. The significance level in the first stage is adaptively determined based on its conditional power. Given the level in the first stage, the level for the second stage analysis is determined with the overall Type I error being asymptotically controlled. For finite sample sizes, a parametric bootstrap method is used to control the overall Type I error rate. This two-stage analysis is often more powerful than the Cochran-Armitage trend test alone for a large association study. The new approach is applied to SNPs from a real study.     

Estimation aux moindres carrés des effets géniques chez un organisme diploïde—Un locus à deux allèles—Application àNicotiana tabacum

When the genotypes of the individuals in a population can be identified and thereafter quantified, direct estimates of the genetic parameters and of the genetic variability components can be obtained from a sample proportional to the population genotypic frequencies. In such a situation, covariances among relatives are not needed. This paper provides the complete least squares computational procedure for one locus and two alleles, with frequenciesp and 1-p, in a population in Hardy-Weinberg equilibrium. Data onN. tabacum are throughly treated.     

Microsatellite markers isolated from the flightless cormorant (Phalacrocorax harrisi)

Eight polymorphic microsatellite DNA loci were isolated from the flightless cormorant (Phalacrocorax harrisi) for future population genetic studies. Genetic variability was assessed using at least 38 individuals from two populations. Allele numbers ranged from three to nine per locus. Mean observed heterozygosity varied from 0.27 to 0.78. No locus deviated from Hardy-Weinberg (HW) or linkage equilibria in either population. The high levels of detected polymorphism indicate the utility of these markers for population genetic studies of this Galápagos species.     

Isolation and characterization of microsatellite DNA in the piracema fish Prochilodus lineatus (Characiformes)

We described five novel microsatellite loci for the piracema fish species Prochilodus lineatus (Characiformes), endemic to South America and of extreme importance to both commercial and artisanal fisheries across its occurrence area. A primary, unenriched genomic library was constructed and radioactively screened for repetitive motifs. Positive clones were automatically sequenced and based on the design of new primers, polymerase chain reaction assays were carried out to determine optimum reaction and electrophoretic conditions for each characterized locus. We evaluated its usefulness in population genetic studies by determining Hardy-Weinberg equilibrium, FIS and a jackknife estimate of the number of alleles for a sample of fish caught below the Funil Hydroelectric Power Plant dam (N = 95), Grande River, Brazil. The number of alleles varied from 3 to 21 and expected heterozygosities ranged from 0.58 to 0.91. Two of five loci were in Hardy-Weinberg equilibrium. Jackknife estimates of the number of alleles were higher than the observed number of alleles for three loci and could provide a measure of sampling bias. These markers should provide important tools for the determination of genetic structure, stock delimitation and reservoir fish management in the Grande River as well as to improve hatchery practices for environmental mitigation measures and to help sustain fisheries in the river.     

Comparative genetic diversity of wild and hachery populations of Korean threadsail filefish Stephanolepis cirrhifer using cross-species microsatellite markers

The threadsail filefish Stephanolepis cirrhifer is a highly commercial fisheries resource in Korea that suffers intensive anthropogenic pressure across much of its range. For basic information about its current genetic status in relation to stock enhancement, the level and distribution of genetic variation between a wild and a hatchery-bred population were investigated using 10 microsatellite markers developed for Thamnaconus modestus. High levels of polymorphism were observed between the two populations. A total of 95 different alleles were found at all loci, with some alleles being unique. The allelic variability ranged from six to 13 in the wild population and from five to 13 in the hatchery one. The average observed and expected heterozygosities were estimated to be 0.72 and 0.80 in the wild sample and 0.70 and 0.79 in the hatchery one, respectively. These results showed similar genetic variability in the hatchery population, as compared with the wild population and significant genetic differentiation between the wild population and the hatchery samples (F _ST = 0.016, P < 0.05). Genetic drift in the intensive breeding practices for stock enhancement has probably promoted differentiation between populations. Significant deviations from Hardy-Weinberg equilibrium were detected in both populations. Our results indicate that further studies using species-specific microsatellite markers will be necessary for a more reliable assessment of genetic diversity of the species.     

The Heterogeneous HLA Genetic Makeup of the Swiss Population

THIS STUDY AIMS AT INVESTIGATING THE HLA MOLECULAR VARIATION ACROSS SWITZERLAND IN ORDER TO DETERMINE POSSIBLE REGIONAL DIFFERENCES, WHICH WOULD BE HIGHLY RELEVANT TO SEVERAL PURPOSES: optimizing donor recruitment strategies in hematopoietic stem cell transplantation (HSCT), providing reliable reference data in HLA and disease association studies, and understanding the population genetic background(s) of this culturally heterogeneous country. HLA molecular data of more than 20,000 HSCT donors from 9-13 recruitment centers of the whole country were analyzed. Allele and haplotype frequencies were estimated by using new computer tools adapted to the heterogeneity and ambiguity of the data. Non-parametric and resampling statistical tests were performed to assess Hardy-Weinberg equilibrium, selective neutrality and linkage disequilibrium among different loci, both in each recruitment center and in the whole national registry. Genetic variation was explored through genetic distance and hierarchical analysis of variance taking into account both geographic and linguistic subdivisions in Switzerland. The results indicate a heterogeneous genetic makeup of the Swiss population: first, allele frequencies estimated on the whole national registry strongly deviate from Hardy-Weinberg equilibrium, by contrast with the results obtained for individual centers; second, a pronounced differentiation is observed for Ticino, Graubünden, and, to a lesser extent, Wallis, suggesting that the Alps represent(ed) a barrier to gene flow; finally, although cultural (linguistic) boundaries do not represent a main genetic differentiation factor in Switzerland, the genetic relatedness between population from south-eastern Switzerland and Italy agrees with historical and linguistic data. Overall, this study justifies the maintenance of a decentralized donor recruitment structure in Switzerland allowing increasing the genetic diversity of the national-and hence global-donor registry. It also indicates that HLA data of local donor recruitment centers can be used as reference data in both epidemiological and population genetic studies focusing on the genetic history of present European populations.