Drift In Populations Research Articles

Imitation, internal absorption and the reversal of local drift in stochastic evolutionary games

AbstractEvolutionary game dynamics in finite populations is typically subject to noise, inducing effects which are not present in deterministic systems, including fixation and extinction. In the first part of this paper we investigate the phenomenon of drift reversal in finite populations, taking into account that drift is a local quantity in strategy space. Secondly, we study a simple imitation dynamics, and show that it can lead to fixation at internal mixed-strategy fixed points even in finite populations. Imitation in infinite populations is adequately described by conventional replicator dynamics, and these equations are known to have internal fixed points. Internal absorption in finite populations on the other hand is a novel dynamic phenomenon. Due to an outward drift in finite populations this type of dynamic arrest is not found in other commonly studied microscopic dynamics, not even in those with the same deterministic replicator limit as imitation.

Formula omitted]: An adaptive classifier for data streams

Streaming data introduce challenges mainly due to changing data distributions (population drift). To accommodate population drift we develop a novel linear adaptive online classification method motivated by ideas from adaptive filtering. Our approach allows the impact of past data on parameter estimates to be gradually removed, a process termed forgetting, yielding completely online adaptive algorithms. Extensive experimental results show that this approach adjusts the forgetting mechanism to maintain performance. Moreover, it might be possible to exploit the information in the evolution of the forgetting mechanism to obtain information about the type and speed of the underlying population drift process.

Effects of outcrossing in fragmented populations of the primarily selfing forest herb Geum urbanum

In fragmented landscapes, small populations may be subjected to inbreeding or genetic drift. Gene flow is expected to alleviate the burden of deleterious mutations in such populations. The beneficial effects of outcrossing may, however, depend on life history characteristics such as the species’ breeding system. Frequent selfing is expected to purge (sub)lethal alleles and mitigate inbreeding depression, at least if the load of mildly deleterious mutations has not accumulated through genetic drift in populations with a small effective size. Gene-inflow from distant source populations can cause outbreeding depression due to genomic incompatibilities. We tested these predictions using highly fragmented populations of the self-compatible forest herb Geum urbanum. Assessment of mating system parameters using microsatellite markers inferred high selfing rates (92.5%), confirming the predominantly self-fertilizing character of the study species. We conducted experimental pollinations with self and outcross pollen collected from populations at different distances from the target populations. There were no significant signs of inbreeding depression, even in very small target populations. Except for a minor negative effect on the germination rate for the long-distance crosses, we found no effects of outbreeding on fitness estimates.

Genetic demixing and evolution in linear stepping stone models.

Results for mutation, selection, genetic drift, and migration in a one-dimensional continuous population are reviewed and extended. The population is described by a continuous limit of the stepping stone model, which leads to the stochastic Fisher-Kolmogorov-Petrovsky-Piscounov equation with additional terms describing mutations. Although the stepping stone model was first proposed for population genetics, it is closely related to "voter models" of interest in nonequilibrium statistical mechanics. The stepping stone model can also be regarded as an approximation to the dynamics of a thin layer of actively growing pioneers at the frontier of a colony of micro-organisms undergoing a range expansion on a Petri dish. The population tends to segregate into monoallelic domains. This segregation slows down genetic drift and selection because these two evolutionary forces can only act at the boundaries between the domains; the effects of mutation, however, are not significantly affected by the segregation. Although fixation in the neutral well-mixed (or "zero-dimensional") model occurs exponentially in time, it occurs only algebraically fast in the one-dimensional model. An unusual sublinear increase is also found in the variance of the spatially averaged allele frequency with time. If selection is weak, selective sweeps occur exponentially fast in both well-mixed and one-dimensional populations, but the time constants are different. The relatively unexplored problem of evolutionary dynamics at the edge of an expanding circular colony is studied as well. Also reviewed are how the observed patterns of genetic diversity can be used for statistical inference and the differences are highlighted between the well-mixed and one-dimensional models. Although the focus is on two alleles or variants, q-allele Potts-like models of gene segregation are considered as well. Most of the analytical results are checked with simulations and could be tested against recent spatial experiments on range expansions of inoculations of Escherichia coli and Saccharomyces cerevisiae.

Genetic Analysis of Pinus sylvestris L. and Pinus sylvestris forma turfosa L. Using RAPD Markers

The purpose of the present study was to determine the level of genetic diversity within and among Ciuc basin, Romania (populations from Mohos and Luci raised bogs in Harghita Mountain and Sumuleu in Ciuc Mountain) Pinus sylvestris populations using molecular markers. Two of populations (Mohos and Luci) seems to be the descendants that survived the continental glaciation. Genetic diversity was analyzed by RAPD (Random Amplified Polymorphic DNA). Nine primers were selected for analysis, which generated reproducible bands. On base of presence or absence of homologues bands Nei’s gene diversity, the percentage of polymorphic loci and Nei’s unbiased genetic distance were calculated. The level of genetic variation among populations was found to be low. For both populations the variation values among populations were higher than within populations. The fossil records and geological historical data explain the extremely low genetic diversity of this species. Pinus sylvestris experienced strong bottlenecks during its evolutionary history, which caused the loss of genetic variation. Genetic drift and breeding in post-bottlenecked small populations may be the major forces that contribute to low genetic diversity and genetic differentiation of populations. Human activities may have accelerated the loss of genetic diversity in Pinus sylvestris.

Generating and analyzing constrained dark energy equations of state and systematics functions

Some functions entering cosmological analysis, such as the dark energy equation of state or systematic uncertainties, are unknown functions of redshift. To include them without assuming a particular form, we derive an efficient method for generating realizations of all possible functions subject to certain bounds or physical conditions, e.g. $w\ensuremath{\in}[\ensuremath{-}1,+1]$ as for quintessence. The method is optimal in the sense that it is both pure and complete in filling the allowed space of principal components. The technique is applied to propagation of systematic uncertainties in supernova population drift and dust corrections and calibration through to cosmology parameter estimation and bias in the magnitude-redshift Hubble diagram. We identify specific ranges of redshift and wavelength bands where the greatest improvements in supernova systematics due to population evolution and dust correction can be achieved.

Covalently immobilized RGD gradient on PEG hydrogel scaffold influences cell migration parameters

Understanding the influence of a controlled spatial distribution of biological cues on cell activities can be useful to design “cell instructive” materials, able to control and guide the formation of engineered tissues in vivo and in vitro. To this purpose, biochemical and mechanical properties of the resulting biomaterial must be carefully designed and controlled. In this work, the effect of covalently immobilized RGD peptide gradients on poly(ethylene glycol) diacrylate hydrogels on cell behaviour was studied. We set up a mechanical device generating gradients based on a fluidic chamber. Cell response to RGD gradients with different slope (0.7, 1 and 2 mM cm −1) was qualitatively and quantitatively assessed by evaluating cell adhesion and, in particular, cell migration, compared to cells seeded on hydrogels with uniform distribution of RGD peptides. To evaluate the influence of RGD gradient and to exclude any concentration effect on cell response, all analyses were carried out in a specific region of the gradients which displayed the same average concentration of RGD (1.5 mM). Results suggest that cells recognize the RGD gradient and adhere onto it assuming a stretched shape. Moreover, cells tend to migrate in the direction of the gradient, as their speed is higher than that of cells migrating on hydrogels with a uniform distribution of RGD and increases by increasing RGD gradient steepness. This increment is due to an augmentation of bias speed component of the mean squared speed, that is, the drift of the cell population migrating on the anisotropic surface provided by the RGD gradient.

Historical and recent genetic bottlenecks in European grayling, Thymallus thymallus

Sharp declines in population size, known as genetic bottlenecks, increase the level of inbreeding and reduce genetic diversity threatening population sustainability in both short- and long-term. We evaluated the presence, severity and approximate time of bottlenecks in 34 European grayling (Thymallus thymallus) populations covering the majority of the species distribution using microsatellite markers. We identified footprints of population decline in all grayling populations using the M ratio test. In contrast to earlier simulation studies assuming isolated populations, forward simulations allowing low levels of migration demonstrated that bottleneck footprints measured using the M ratio can persist within small populations much longer (up to thousands of generations) than previously anticipated. Using a coalescence approach, the beginning of population reduction was dated back to 1,000–10,000 years ago which suggests that the extremely low M ratio in European grayling is most likely caused by the last glaciation and subsequent post-glacial recolonization processes. In contrast to the M ratio, two alternative methods for bottleneck detection identified more recent bottlenecks in six populations and thus, from a conservation perspective, these populations warrant future monitoring. Based on a single time-point analysis using approximate Bayesian computation methodology, all grayling populations exhibited very small effective population sizes with the majority of Ne estimates below 50. Taken together, our results demonstrate the predominate role of genetic drift in European grayling populations in the short term but also emphasize the importance of gene flow counteracting the effects of genetic drift and loss of variation over longer evolutionary timescales.

SEXUAL SELECTION COUNTERACTS EXTINCTION OF SMALL POPULATIONS OF THE BULB MITES

Genetic drift in small populations can increase frequency of deleterious recessives and consequently lead to inbreeding depression and population extinction. On the other hand, as homozygosity at deleterious recessives increases, they should be purged from populations more effectively by selection. Sexual selection has been postulated to strengthen selection against deleterious mutations, and should thus decrease extinction rate and intensify purging of inbreeding depression. We tested these predictions in the bulb mite Rhizoglyphus robini. We created 100 replicate lines of small populations (five males and five females) and in half of them experimentally removed sexual selection by enforcing monogamy. The lines were propagated for eight generations and then assayed for purging of inbreeding depression. We found that proportion of lines which went extinct was lower with sexual selection than without. We also found evidence for purging of inbreeding depression in the lines with sexual selection, but not in lines without sexual selection. Our results suggest that purging of inbreeding depression was more effective against mutations with relatively large deleterious effects. Thus, although our data clearly indicate a positive impact of sexual selection on short-term survival of bottlenecked populations, long-term consequences are less clear as they may be negatively impacted by accumulation of deleterious mutations of small effect.

TagSNP transferability and relative loss of variability prediction from HapMap to an admixed population

BackgroundThe application of a subset of single nucleotide polymorphisms, the tagSNPs, can be useful in capturing untyped SNPs information in a genomic region. TagSNP transferability from the HapMap dataset to admixed populations is of uncertain value due population structure, admixture, drift and recombination effects. In this work an empirical dataset from a Brazilian admixed sample was evaluated against the HapMap population to measure tagSNP transferability and the relative loss of variability prediction.MethodsThe transferability study was carried out using SNPs dispersed over four genomic regions: the PTPN22, HMGCR, VDR and CETP genes. Variability coverage and the prediction accuracy for tagSNPs in the selected genomic regions of HapMap phase II were computed using a prediction accuracy algorithm. Transferability of tagSNPs and relative loss of prediction were evaluated according to the difference between the Brazilian sample and the pooled and single HapMap population estimates.ResultsEach population presented different levels of prediction per gene. On average, the Brazilian (BRA) sample displayed a lower power of prediction when compared to HapMap and the pooled sample. There was a relative loss of prediction for BRA when using single HapMap populations, but a pooled HapMap dataset generated minor loss of variability prediction and lower standard deviations, except at the VDR locus at which loss was minor using CEU tagSNPs.ConclusionStudies that involve tagSNP selection for an admixed population should not be generally correlated with any specific HapMap population and can be better represented with a pooled dataset in most cases.

Mechanisms of invasive population establishment and spread of pinewood nematodes in China

This paper summarizes the results of our study of the pinewood nematode (Bursaphelenchus xylophilus). By population genetic analysis, it was determined that there was no genetic bottle caused by the founder effect and genetic drift in the Chinese invasive population. Multiple invasions with large amounts of nematodes from different sources led to rich genetic diversity in the invasive population. Keeping high genetic diversity in the invasive process may be one of the genetic mechanisms in its successful invasion. By testing interspecies competition, it was shown that, with high fecundity and a strong competitive ability, B. xylophilus outcompeted the native species B. mucronatus in the natural ecosystem during the invasion process. Competitive displacement may be one of the ecological mechanisms of B. xylophilus's invasion. In addition, an unequal interspecific hybridization with introgress was in favor of the invasive species which also accelerated the replacement of B. mucronatus by B. xylophilus. The structures, functions and evolutions of a few important genes that are closely related to the ecological adaptation of pinewood nematodes were studied to explore the molecular mechanism of its ecological adaptations. Further, the resistance and resilience mechanism of the pine ecosystem invaded by pinewood nematodes was also investigated. The results of these studies uncovered a portion of the genetic and ecological mechanisms of PWN's successful invasion and laid a foundation for further study to obtain a comprehensive interpretation of the mechanisms of the nematode invasion. The results also provided a scientific basis for effectively controlling the occurrence and spread of pine wilt disease which is caused by nematodes. Various aspects requiring further investigation are considered.

Population structure in the catfish Trichogenes longipinnis: drift offset by asymmetrical migration in a tiny geographic range

Based on population genetic theory and empirical studies of small populations, we expect that species with very small ranges (narrow endemics) will exhibit reduced genetic diversity, increasing their susceptibility to the negative effects of genetic homogeneity. Although this pattern of reduced diversity applies to most narrow endemics, conservation biologists have yet to identify a general pattern for the degree of spatial population genetic structure expected in species with very small ranges. In part, this is because the degree of population structure within narrow endemics will be highly variable depending on the equilibrium between the homogenizing effects of dispersal and the diversifying effects of drift and local selection in small populations, thus precluding general predictions about the relative importance of small range, small population sizes, and habitat patchiness for maintaining genetic diversity in narrowly-distributed species. We document a striking example of high population structure in the tiny geographic range of a stream-dwelling catfish, Trichogenes longipinnis, endemic to the Atlantic Forest of Brazil. The maintenance of this diversity results from a combination of asymmetrical and limited dispersal, and drift in small populations. Our results highlight the need to understand population structure, and not only overall genetic diversity, of narrowly-distributed species for their conservation planning. © 2009 The Linnean Society of London, Biological Journal of the Linnean Society, 2009, 97, 259‐274.

Phase II Trials in Journal of Clinical Oncology

Phase II Trials in <i>Journal of Clinical Oncology</i>

Mutational Meltdown in Primary Endosymbionts: Selection Limits Muller's Ratchet

BackgroundPrimary bacterial endosymbionts of insects (p-endosymbionts) are thought to be undergoing the process of Muller's ratchet where they accrue slightly deleterious mutations due to genetic drift in small populations with negligible recombination rates. If this process were to go unchecked over time, theory predicts mutational meltdown and eventual extinction. Although genome degradation is common among p-endosymbionts, we do not observe widespread p-endosymbiont extinction, suggesting that Muller's ratchet may be slowed or even stopped over time. For example, selection may act to slow the effects of Muller's ratchet by removing slightly deleterious mutations before they go to fixation thereby causing a decrease in nucleotide substitutions rates in older p-endosymbiont lineages.Methodology/Principal FindingsTo determine whether selection is slowing the effects of Muller's ratchet, we determined the age of the Candidatus Riesia/sucking louse assemblage and analyzed the nucleotide substitution rates of several p-endosymbiont lineages that differ in the length of time that they have been associated with their insect hosts. We find that Riesia is the youngest p-endosymbiont known to date, and has been associated with its louse hosts for only 13–25 My. Further, it is the fastest evolving p-endosymbiont with substitution rates of 19–34% per 50 My. When comparing Riesia to other insect p-endosymbionts, we find that nucleotide substitution rates decrease dramatically as the age of endosymbiosis increases.Conclusions/SignificanceA decrease in nucleotide substitution rates over time suggests that selection may be limiting the effects of Muller's ratchet by removing individuals with the highest mutational loads and decreasing the rate at which new mutations become fixed. This countering effect of selection could slow the overall rate of endosymbiont extinction.

Genetic Drift of HIV Populations in Culture

Populations of Human Immunodeficiency Virus type 1 (HIV-1) undergo a surprisingly large amount of genetic drift in infected patients despite very large population sizes, which are predicted to be mostly deterministic. Several models have been proposed to explain this phenomenon, but all of them implicitly assume that the process of virus replication itself does not contribute to genetic drift. We developed an assay to measure the amount of genetic drift for HIV populations replicating in cell culture. The assay relies on creation of HIV populations of known size and measurements of variation in frequency of a neutral allele. Using this assay, we show that HIV undergoes approximately ten times more genetic drift than would be expected from its population size, which we defined as the number of infected cells in the culture. We showed that a large portion of the increase in genetic drift is due to non-synchronous infection of target cells. When infections are synchronized, genetic drift for the virus is only 3-fold higher than expected from its population size. Thus, the stochastic nature of biological processes involved in viral replication contributes to increased genetic drift in HIV populations. We propose that appreciation of these effects will allow better understanding of the evolutionary forces acting on HIV in infected patients.

Diffusion approximations for one-locus multi-allele kin selection, mutation and random drift in group-structured populations: a unifying approach to selection models in population genetics

Diffusion approximations are ascertained from a two-time-scale argument in the case of a group-structured diploid population with scaled viability parameters depending on the individual genotype and the group type at a single multi-allelic locus under recurrent mutation, and applied to the case of random pairwise interactions within groups. The main step consists in proving global and uniform convergence of the distribution of the group types in an infinite population in the absence of selection and mutation, using a coalescent approach. An inclusive fitness formulation with coefficient of relatedness between a focal individual J affecting the reproductive success of an individual I, defined as the expected fraction of genes in I that are identical by descent to one or more genes in J in a neutral infinite population, given that J is allozygous or autozygous, yields the correct selection drift functions. These are analogous to the selection drift functions obtained with pure viability selection in a population with inbreeding. They give the changes of the allele frequencies in an infinite population without mutation that correspond to the replicator equation with fitness matrix expressed as a linear combination of a symmetric matrix for allozygous individuals and a rank-one matrix for autozygous individuals. In the case of no inbreeding, the mean inclusive fitness is a strict Lyapunov function with respect to this deterministic dynamics. Connections are made between dispersal with exact replacement (proportional dispersal), uniform dispersal, and local extinction and recolonization. The timing of dispersal (before or after selection, before or after mating) is shown to have an effect on group competition and the effective population size.

2008 American Society of Naturalists Awards

Previous articleNext article Free2008 American Society of Naturalists Awards Sewall Wright AwardSpencer BarrettJanis AntonovicsJanis AntonovicsUniversity of Virginia Search for more articles by this author University of VirginiaPDFPDF PLUSFull Text Add to favoritesDownload CitationTrack CitationsPermissionsReprints Share onFacebookTwitterLinked InRedditEmailQR Code SectionsMoreIn 2008, the American Society of Naturalists honored Spencer Barrett with the Sewall Wright Award, which recognizes an active midcareer or senior investigator who has made major contributions to the conceptual unification of the biological sciences. Spencer Barrett has contributed enormously to our understanding of the forces driving evolutionary transitions in plant mating systems. He has carried out extensive field studies on the evolution of selfing, dioecy, and mechanisms involved in pollen donation, receipt, and mating compatibility. This work has greatly broadened our understanding of floral evolution, the origins of dioecy, and the evolution of plant breeding systems. He has elegantly shown that floral characteristics can evolve through mechanisms that increase the efficiency of pollen transmission or receipt as well as through mechanisms that regulate different levels of outcrossing.In the true tradition of Sewall Wright, he has shown that knowledge of both genetics and population substructuring are absolute prerequisites for understanding the evolution of mating systems. His work on the evolution of floral polymorphism in water hyacinths is a tour de force showing how population differences are determined by the direct interplay of pollinator activity, the magnitude of genetic drift in founding populations, and the underlying genetics of the polymorphism. This work on the pathways of breakdown of tristyly to different distylous and monomorphic populations constitutes perhaps the most complete example of the real‐world operation of processes central to Sewall Wright’s shifting balance theory. He has also made important contributions to our understanding of species invasions, especially the idea that these invasions are likely to be accompanied by substantial genetic change. Indeed, this pioneering work was crucial in bringing the impact of plant invasions to the forefront of the consciousness of biologists and the general public.Spencer Barrett is a Fellow of the Royal Society of London, a Fellow of the Royal Society of Canada, and a recipient of a Merit Award from the Botanical Society of America. Recently, he received the Lawson Medal from the Canadian Botanical Association in recognition of his lifetime contributions to Canadian botany. He has also been a recipient of an outstanding teacher award at the University of Toronto and has mentored numerous graduate students and postdocs who are now leading researchers throughout the world. Throughout his research, he has combined a thorough mix of field observations, experiments, and theory, all of which have been strongly grounded in a broad knowledge of natural history. He incorporates rigor and imagination, combines theory with empiricism, and has a breadth that reflects a true integration of population genetics, ecology, systematics, and applied biology. For these many reasons, the American Society of Naturalists considers him to be an ideal recipient of the Sewall Wright Award. Previous articleNext article DetailsFiguresReferencesCited by The American Naturalist Volume 173, Number 1January 2009 Published for The American Society of Naturalists Article DOIhttps://doi.org/10.1086/593708 Views: 266Total views on this site © 2008 by The University of Chicago.PDF download Crossref reports no articles citing this article.

DRIFT PROMOTES SPECIATION BY SEXUAL SELECTION

Quantitative genetic models of sexual selection have generally failed to provide a direct connection to speciation and to explore the consequences of finite population size. The connection to speciation has been indirect because the models have treated only the evolution of male and female traits and have stopped short of modeling the evolution of sexual isolation. In this article we extend Lande's (1981) model of sexual selection to quantify predictions about the evolution of sexual isolation and speciation. Our results, based on computer simulations, support and extend Lande's claim that drift along a line of equilibria can rapidly lead to sexual isolation and speciation. Furthermore, we show that rapid speciation can occur by drift in populations of appreciable size (N(e) >or= 1000). These results are in sharp contrast to the opinion of many researchers and textbook writers who have argued that drift does not play an important role in speciation. We argue that drift may be a powerful amplifier of speciation under a wide variety of modeling assumptions, even when selection acts directly on female mating preferences.

Does habitat fragmentation reduce genetic diversity and subpopulation connectivity?

The estimation of levels of genetic variation has received considerable attention because it is generally thought to be indicative of overall species vitality and the potential for evolutionary responses to environmental changes. Here, we use allozymes markers and two distinct collections of Cakile maritima, an annual species from sandy coastal habitats (2000 generation and 2005 generation collected from 9 populations in their natural habitats), to assess the magnitude of expected genetic change. We compared genetic diversity between generations (all populations combined), and then between populations at each generation.Based on 13 loci scored from the eight enzymes examined, a high genetic diversity was detected at both the population and generation level as compared to other herbaceous species. However, allelic richness reduction in the 2005 generation suggested restricted gene flow and a high risk of future genetic bottlenecks, if larger tracts of coastal areas disappear. Most loci showed deviation from Hardy‐Weinberg equilibrium due to excess of heterozygotes in all populations suggesting that this species has an allogamic mode of reproduction.It appears most likely that this species has experienced a recent decrease in population size, and that genetic drift in small populations has resulted in a loss of alleles occurring at low frequency. Despite the deterioration process, maintenance of high genetic diversity suggests that there are some ecological factors determining population structure.

Genetic drift on networks: Ploidy and the time to fixation

Genetic drift in finite populations ultimately leads to the loss of genetic variation. This paper examines the rate of neutral gene loss for a range of population structures defined by a graph. We show that, where individuals reside at fixed points on an undirected graph with equal degree nodes, the mean time to loss differs from the panmictic value by a positive additive term that depends on the number of individuals (not genes) in the population. The effect of these spatial structures is to slow the time to fixation by an amount that depends on the way individuals are distributed, rather than changing the apparent number of genes available to be sampled. This relationship breaks down, however, for a broad class of spatial structures such as random, small-world and scale-free networks. For the latter structures there is a counter-intuitive acceleration of fixation proportional to the level of ploidy.