Population genetics of selfish DNA

The population dynamics of transposable elements

This paper describes analytical and simulation models of the population dynamics of transposable elements in randomly mating populations. The models assume a finite number of chromosomal sites that are occupable by members of a given family of elements. Element frequencies can change as a result of replicative transposition, loss of elements from occupied sites, selection on copy number per individual, and genetic drift. It is shown that, in an infinite population, an equilibrium can be set up such that not all sites in all individuals are occupied, allowing variation between individuals in both copy number and identity of occupied sites, as has been observed for several element families in Drosophila melanogaster. Such an equilibrium requires either regulation of transposition rate in response to copy number per genome, a sufficiently strongly downwardly curved dependence of individual fitness on copy number, or both. The probability distributions of element frequencies, generated by the effects of finite population size, are derived on the assumption of independence between different loci, and compared with simulation results. Despite some discrepancies due to violation of the independence assumption, the general pattern seen in the simulations agrees quite well with theory.

Data from Drosophila population studies are compared with the theoretical models, and methods of estimating the relevant parameters are discussed.

Synergy between sequence and size in large-scale genomics

Until recently the study of individual DNA sequences and of total DNA content (the C-value) sat at opposite ends of the spectrum in genome biology. For gene sequencers, the vast stretches of non-coding DNA found in eukaryotic genomes were largely considered to be an annoyance, whereas genome-size researchers attributed little relevance to specific nucleotide sequences. However, the dawn of comprehensive genome sequencing has allowed a new synergy between these fields, with sequence data providing novel insights into genome-size evolution, and with genome-size data being of both practical and theoretical significance for large-scale sequence analysis. In combination, these formerly disconnected disciplines are poised to deliver a greatly improved understanding of genome structure and evolution.

Models of the evolution of some genetic systems

This paper reviews models of two aspects of genome evolution. The first is the problem of the conditions for establishment of chromosome rearrangements, as a result of their suppression of recombination between polymorphic genes that interact in their effects on fitness. The second is the spread of genomic elements either by their differential contributions to gametes, or by their ability to replicate and transpose themselves to new sites within the genome.

A branching-process model for the evolution of transposable elements incorporating selection

We have formulated a very general mathematical model to analyze the evolution of transposable genetic elements in prokaryotic populations. Transposable genetic elements are DNA sequences able to replicate and insert copies of themselves at new locations in the genome. This work characterizes the equilibrium distribution of copy number under the influence of copy number-dependent selection, transposition and deletion. Our principal results concern the equilibrium distribution of copy number in response to various selective regimes. For particular transposition patterns (e.g., unregulated transposition or copy number-dependent transposition), equilibrium distributions are calculated numerically for a variety of specific selection patterns. Selection is quantified through specification of the expected number of offspring for individuals of each type, which is generally a non-increasing function of copy number, in accord with the usual evolutionary speculations.

A branching process model for the evolution of transposable elements

A discrete-time multitype branching process model is presented for the evolution of transposable elements in haploid populations. An individual is classified as type i if it possesses i copies of the TE, i greater than or equal to 0. The general model incorporates copy-dependent selection and transposition, and recursion relations are derived for the distribution of the number of individuals of the various types. The asymptotic relative proportions of individuals of the different types is studied in the neutral case. The behavior of this equilibrium distribution is examined for various patterns of regulated transposition and deletion.

The maintenance of transposable elements in natural populations

Models of the maintenance of transposable elements in randomly mating host populations are reviewed. It is shown that the data on the distribution of copy numbers between individuals are largely concordant with what is expected on the basis of the Mendelian transmission of elements. The role of regulation of rates of transposition, and of various modes of natural selection, in maintaining an equilibrium in copy numbers in the face of transpositional increase in copy number is discussed. Tests for the role of selection against insertional mutations and against chromosome rearrangements induced by exchange between homologous elements located at nonhomologous chromosome locations are discussed. Reasons for expecting elements to accumulate in chromosome regions where crossing over is restricted are discussed, and data suggesting the existence of such an effect are described. Theory and data on the probability distribution of element frequencies at individual chromosomal sites are described. It is concluded that the available population data are consistent with the notion that element abundances are largely controlled by the interaction of transpositional increase in copy number with opposing forces.

The population biology of transposable elements

A transposable element can be defined as a DNA sequence capable of moving to new sites in the genome. Such DNA sequences have been described in a wide range of organisms. The evolutionary processes affecting transposable elements can thus be divided into two categories: changes in sequence and changes in genomic location. As with other types of evolutionary change, the nature of the evolutionary process will be reflected in the extent and type of genetic variation existing in wild populations. Quantitative models of the evolution of transposable element sequences and positions will be outlined, and related to relevant data. The extent to which models designed to describe obvious transposable elements such as the mobile sequences of Drosophila are also applicable to interspersed repetitive DNAs from other species will be discussed.

Quantitative models of hybrid dysgenesis: rapid evolution under transposition, extrachromosomal inheritance, and fertility selection

A model of the P-M system of hybrid dysgenesis is presented which incorporates single-site transposition of P factors in M cytotype, determination of offspring cytotype by both maternal cytotype and maternal or offspring nuclear genotype, and strong fertility selection in dysgenic individuals. The conditions required for the initial invasion of P factors into a pure M population, information concerning stable polymorphisms, and results of numerical iterations depicting the dynamic, nonequilibrium behavior of the system are summarized. While conditions for initial increase are independent of the rate of cytotype switching, the rate of evolution is accelerated by increased production of dysgenic individuals. If the transposition rate is sufficiently high to overcome the fertility barrier opposing P factors introduced into M populations, then convergence to high frequencies of the P factor occurs very rapidly. Under intense fertility depression, the phase of rapid increase may be preceded by an extended period of gradual increase at low frequencies.

On the evolution of multigene families

Multigene families are classified into three groups: small families as exemplified by hemoglobin genes of mammals; middlesize multigene families, by genes of mammalian histocompatibility antigens; and large multigene families, by variable region genes of immunoglobulins. Facts and theories on these evolving multigene families are reviewed, with special reference to the population genetics of their concerted evolution. It is shown that multigene families are evolving under continued occurrence of unequal (but homologous) crossing-over and gene conversion, and that mechanisms for maintaining genetic variability are totally different from the conventional models of population genetics. Thus, in view of widespread occurrence of multigene families in genomes of higher organisms, the evolutionary theory based mainly on change of gene frequency at each locus would appear to need considerable revision.

Theoretical study on the accumulation of selfish DNA

The accumulation of selfish DNA in eukaryotic genomes was studied from the standpoint of population genetics. Selfish DNA is assumed to replicate itself within a haploid set. For the selectively neutral case, the fate of a single self-replicating DNA segment (unit) within a population was investigated by the method of the probability generating function, and by Monte Carlo simulation, with special reference to the probability of survival and average number of units per haploid set. For the selectively deleterious case at the organismal level, the equilibrium between new occurrence and selective elimination was studied, and the average and variance of the number of units per haploid set in the population was examined by Monte Carlo simulation. It is shown that the process of self-replication (duplication–deletion) plays an essential role for the maintenance and elimination of selfish DNA.