Pseudo-Random Mating Populations. in Celebration of the 80th Anniversary of the Hardy-Weinberg Law

That random mating leads to Hardy-Weinberg distribution of genotypes is well known. This report is to show that, if the deviations from random mating are of a certain pattern, the offspring generation will also be in Hardy-Weinberg proportions. This brings out the fact that random mating is a sufficient condition, not a necessary one, for the attainment of the Hardy-Weinberg proportions. Such nonrandom-mating populations are tentatively said to be pseudo-random mating. Pseudo-random-mating populations exist for both autosomal and sex-linked systems with two or multiple alleles. This report covers the basic case of a two-allele autosomal locus in detail, but the possible extension to two loci and cytonuclear systems have also been mentioned in discussion.     

A Computer Model Allowing Maintenance of Large Amounts of Genetic Variability in Mendelian Populations. II. the Balance of Forces between Linkage and Random Assortment

It is shown, through theory and computer simulations of outbreeding Mendelian populations, that there may be conditions under which a balance is struck between two facotrs. The first is the advantage of random assortment, which will, when multilocus selection is for intermediate equilibrium values, lead to higher average heterozygosity than when linkage is introduced. There is some indication that random assortment is also advantageous when selection is toward a uniform distribution of equilibrium values. The second factor is the advantage of linkage between loci having positive epistatic interactions. When multilocus selection is for a bimodal distribution of equilibrium values an early advantage of random assortment is replaced by a later disadvantage. Linkage disequilibrium, which in finite populations is increased only by random or selective sampling, may hinder the movement of alleles to their selective equilibria, thus leading to the advantage of random assortment.-Some consequences of this approach to the structure of natural populations are discussed.     

On the Theory of Partially Inbreeding Finite Populations. I. Partial Selfing

Some stochastic theory is developed for monoecious populations of size N in which there are probabilities beta and 1 - beta of reproduction by selfing and by random mating. It is assumed that beta much greater than N-1. Expressions are derived for the inbreeding coefficient of one random individual and the coefficient of kinship of two random separate individuals at time t. The mean and between-lines variance of the fraction of copies of a locus that are identical in two random separate individuals in an equilibrium population are obtained under the assumption that there is an infinite number of possible alleles. It is found that the theory for random mating populations holds if the effective population number is Ne = N'/(1 + FIS), where FIS is the inbreeding coefficient at equilibrium when N is infinite and N' is the reciprocal of the probability that two gametes contributing to random separate adults come from the same parent. When there is a binomial distribution of successful gametes emanating from each adult, N' = N. An approximation to the probability that an allele A survives if it is originally present in one AA heterozygote is found to be 2(N'/N)(FISS1 + (1 - FIS)S2), where S1 and S2 are the selective advantages of AA and AA in comparison with AA. In the last section it is shown that if there is partial full sib mating and binomial offspring distributions Ne = N/(1 + 3FIS).     

Cooperative chiral order in the B-Z transition in random sequences of DNA.

We present a theory for cooperative chiral order in the transition between right-handed B-DNA and left-handed Z-DNA. This theory, based on the random-field Ising model, predicts the characteristic length scale of Z-DNA segments. This length scale depends on whether the DNA is a homopolymer or a random sequence: it is approximately 4000 nucleotides in a homopolymer but only approximately 25 nucleotides in a random sequence. These theoretical results are consistent with experiments on DNA homopolymers and random sequences.     

Selection in Reference to Biological Groups. V. Analysis of Full-Sib Groups

Previous studies in this series have dealt with the consequences of truncation selection operating with respect to random groups within which geno-full-sib group structure. The objective is to compare the results of individual and group selection as these methods operate on populations of random versus typic interaction may exist. The present study deal with a non-random, full-sib groups. In almost all comparisons individual selection is found to be qualitatively and quantitatively superior when used in conjunction with full-sib groups. This is due to the fact that the change in gene frequency for full-sib groups is a function of both direct and associate effects, whereas with random groups it is a function of direct effects only. With regard to group selection the efficiency is invariably superior when selection operates on non-random, full-sib rather than random groups.     

DNA primase and the replication of the telomeres in Oxytricha nova.

An enzymatic activity in crude extracts of macronuclei from the hypotrichous ciliate Oxytricha nova catalyzes the synthesis of RNA consisting of (C4A4)n using an oligodeoxynucleotide template of the telomeric sequence (dG4T4)n. Single-stranded (dG4T4)n is an effective template if it has a random sequence at its 5' end. The enzyme will not use a (dG4T4)n template of any length (up to 64 bases) if it lacks a random sequence at the 5' end. With a random, single-stranded sequence at the 5' end, the (dG4T4)n oligodeoxynucleotide must be at least 36 bases long to work as a template. A 16-base, single-stranded region of (dG4T4)2 is an effective template when joined to a 20-base double-stranded region of (dG4T4)n/(dA4dC4)n, a structural arrangement that is the same as the native telomere of Oxytricha macronuclear DNA. The RNA-synthesizing activity is unaffected by 1.0 mg/ml of alpha-amanitin. Macronuclear extracts have an alpha-amanitin-insensitive, RNA-polymerizing activity that can use a random 55mer oligodeoxynucleotide as a template. This enzyme activity may be the same one that uses (dG4T4)n templates to make (C4A4)n RNA. The (C4A4)n RNA made in the reaction can prime DNA synthesis by the E. coli DNA polymerase I Klenow fragment. Therefore, the RNA polymerase activity fulfills the requirements of the telomere DNA primase that we postulated for replication of telomeres in hypotrichs (Zahler and Prescott, 1988, Nucleic Acids Research 16, 6953-6972).     

Determination of the degree of N-acetylation and the distribution of N-acetyl groups in partially N-deacetylated chitins (chitosans) by high-field n.m.r. spectroscopy.

The composition and sequence of 2-acetamido-2-deoxy-beta-D-glucose (GlcNAc) and 2-amino-2-deoxy-beta-D-glucose (GlcN) residues in partially N-deacetylated chitosans, prepared under homogeneous and heterogeneous conditions, have been determined by 1H-n.m.r. spectroscopy. It was necessary to depolymerise the chitosan slightly by treatment with nitrous acid before spectroscopy. A sequence-dependent deshielding of H-1 of the GlcNAc residues made it possible to determine the proportions of the four possible diads. Chitosan prepared by N-deacetylation under homogeneous conditions gave values for the diad frequencies that were roughly consistent with a random distribution of the N-acetyl groups. Samples prepared under heterogeneous conditions have a frequency of the GlcNAc-GlcNAc diad slightly higher than for a random (Bernoullian) distribution. The chitosans, prepared under both homogeneous and heterogeneous conditions, with a degree of acetylation of 50% were soluble at neutral pH.     

Semiparametric estimation of random effects using the Cox model based on the EM algorithm.

Consider a survival experiment where individuals within a certain subset of the population share a common, unobservable, random frailty. Such a frailty could be an unobservable genetic or early environmental effect if individuals were in sibling groups or an environmental effect if individuals were grouped by households. Suppose that if the frailty, omega, is known, the Cox proportional hazards model for the observable covariates is valid with the consequence of the random effect being a multiplicative factor on the hazard rate. Assuming tht the random frailties follow a gamma distribution, estimates of the fixed and random effects are obtained by using an EM algorithm based on a profile likelihood construction. The method developed is applied to the Framingham Heart Study to examine the risks of smoking and cholesterol levels, adjusting for potential random effects.     

Population genetics of the population in the European north of the RSFSR. V. An evaluation of the virtual size of the population by computer simulation of marriage and migration processes

The paper deals with the effect of assortative matings on some parameters of population structure. To solve this problem, two rural populations near Archangelsk (river Peosa region) were used. Some genetic and demographic characteristics of these populations were described in previous publications. A comparison between random matches through a random number generator and true marriages was made by computer estimation of the spouses kinship coefficients. Significant avoidance of first and second cousins marriages in real populations was discovered. As a consequence of this avoidance of consanguinity, the effective breeding size of villages is increased twofold. Similar results were obtained by estimation os isonymy.     

Nuclear magnetic resonance investigation of the helix in random coil transformation in poly-alpha-amino acids. I

High-resolution nuclear magnetic resonance spectra at 100 MHz and 220 MHz have been obtained on two samples of poly-L -alanine of differing molecular weights (2500 and 42 500) in the chloroform–trifluoroacetic acid system under various conditions of solvent composition, temperature, and polypeptide concentration. Separate helix and random coil peaks are observed for the α-CH and peptide NH backbone proton resonances, thereby permitting the determination of helix content. This observation of separate peaks demonstrates that the lifetimes of the helix and random coil portions of poly-L -alanine have lower limits of about 10^?1 sec. It is suggested that solvent–peptide versus peptide–peptide hydrogen bond competition, coupled with a destabilizing effect of the trifluoroacetic acid on the helix, is responsible for the helix–random coil transformation.     

The evolution of proteins from random amino acid sequences. I. Evidence from the lengthwise distribution of amino acids in modern protein sequences

Summary We examine in this paper one of the expected consequences of the hypothesis that modern proteins evolved from random heteropeptide sequences. Specifically, we investigate the lengthwise distributions of amino acids in a set of 1,789 protein sequences with little sequence identity using the run test statistic (r _o) of Mood (1940,Ann. Math. Stat. 11, 367–392). The probability density ofr _o for a collection of random sequences has mean=0 and variance=1 [the N(0,1) distribution] and can be used to measure the tendency of amino acids of a given type to cluster together in a sequence relative to that of a random sequence. We implement the run test using binary representations of protein sequences in which the amino acids of interest are assigned a value of 1 and all others a value of 0. We consider individual amino acids and sets of various combinations of them based upon hydrophobicity (4 sets), charge (3 sets), volume (4 sets), and secondary structure propensity (3 sets). We find that any sequence chosen randomly has a 90% or greater chance of having a lengthwise distribution of amino acids that is indistinguishable from the random expectation regardless of amino acid type. We regard this as strong support for the random-origin hypothesis. However, we do observe significant deviations from the random expectation as might be expected after billions years of evolution. Two important global trends are found: (1) Amino acids with a strong α-helix propensity show a strong tendency to cluster whereas those with β-sheet or reverse-turn propensity do not. (2) Clustered rather than evenly distributed patterns tend to be preferred by the individual amino acids and this is particularly so for methionine. Finally, we consider the problem of reconciling the random nature of protein sequences with structurally meaningful periodic “patterns” that can be detected by sliding-window, autocorrelation, and Fourier analyses. Two examples, rhodopsin and bacteriorhodopsin, show that such patterns are a natural feature of random sequences.     

Bias in the estimation of regression coefficients in the analysis of genotype-environmental interaction.

Potential bias in estimates of regression coefficients when the environmental index in joint regressional analysis is the mean of all genotypes is examined in relation to assumptions of random and fixed genotypic effects and the error structure of the experiment. A modification is suggested.     

不同采样设计评估鱼类群落效果比较

鱼类群落生态学研究结果的准确性很大程度上依赖于采样设计的合理性和准确性,正确的采样调查设计不仅可以降低调查成本,其结果也对渔业资源的评估或者管理起到相当重要的作用.本文利用计算机模拟定点采样、简单随机采样和分层采样,比较了3种采样设计的采样效果、相对误差及相对偏差.结果表明： 定点采样设计的采样效果 (采样效果平均值为3.37)要弱于简单随机采样和分层随机采样 (采样效果平均值为0.961).3种采样设计中,分层采样设计在鱼类群落丰富度评估时表现最好,其采样效果、相对误差和相对偏差表现最佳.随着采样数的增加,分层采样设计的采样效果有所下降,但其采样精度提高.     

Relation of nucleosomes to nucleotide sequences in the rat.

The relation of nucleosomes to nucleotide sequences is random for most single copy sequences in rat liver. This could be due to variation in the DNA content of nucleosomes, and a procedure for detecting such variation is described.     

Polymers of random short oligonucleotides detect polymorphic loci in the human genome.

Polymers of random 14 mer oligonucleotides are shown to detect discrete loci in the human genome. Eighteen different synthetic tandem repeats of random 14 base-pair units (STRs) have been generated and all of them turn out to detect polymorphic loci on southern blots of human DNA samples, presumably corresponding to a variable number of tandem repeats (VNTR). This finding suggests that minisatellites are a major component of the human genome and are strongly associated with the generation of genetic variability. In addition, it should open new strategies to make new polymorphic probes available.     

Intrinsic viscosity of ovomucoid in random coil conformation.

Ovomucoid is denatured by concentrated solutions of guanidine hydrochloride. The intrinsic viscosities of the glycoprotein in 6 M guanidine hydrochloride in the absence and presence of beta-mercaptoethanol were found to be 8.1 and 16.0 ml/g, respectively. Ovomucoid with disulphide bonds reduced exists in linear random coil conformation. However, the intrinsic viscosity of the randomly coiled protein was less than that predicted from the empirical equations describing the molecular weight dependence of intrinsic viscosities of random coil proteins in 6 M guanidine hydrochloride. On excluding the carbohydrate content of the protein, which is theoretically justified, the calculated intrinsic viscosity interestingly became closer to the measured one. The temperature dependence of the intrinsic viscosity of ovomucoid in linear random coil conformation was studied in the temperature range, 25-55 degrees. The features of the intrinsic viscosity-temperature profile are not comparable with those exhibited by other linear random coil proteins in 6 M guanidine hydrochloride.     

Studies of X-ray-induced chromosome aberrations in cells of the black-tailed wallaby. I. Non-random exchange in peripheral blood cells irradiated in Go.

The distribution of exchanges between individual chromosome arms in mitotic peripheral blood cells following X-irradiation in Go has been measured. It was found that, although all arms exchanged with each other, there were small but significant departures from the frequencies expected on the basis of random breakage and exchange. It is suggested that non-randomness may reflect the non-uniform state of condensation of chromatin in Go lymphocytes.     

On the stochastic theory of compartments: II. Multi-compartment systems

A stochastic model is developed for a system of interconnected compartments. The generating function of the random variable of any compartment can be constructed from a flow graph involving the expectations of the random variables of all compartments of the system.     

Drinking and driving: success of random breath testing in Finland.

Since the introduction of random breath testing in Finland in 1977 the drinking and driving rate has halved, and there has been an appreciable reduction in the rates of death and injury from road accidents associated with drinking. The results of Finnish studies indicate that random breath testing deters social drinkers and detects problem drinkers. Problem drinkers are more likely to be driving in morning traffic, when vulnerable road users such as children are about, and are more likely to be detected by random breath testing than by any other police activity. Random breath testing is a popular measure and has not only saved lives but has paid for itself by savings in health service and other resources. Introducing random breath testing into Britain could save at least 400 lives a year. The main recommendation of the Blennerhassett report of 1976--discretionary testing--is compared with the success of random breath testing in Finland.