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Matters of Size: Genetic Bottlenecks in Virus Infection and Their Potential Impact on Evolution

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Matters of Size: Genetic Bottlenecks in Virus Infection and Their Potential Impact on Evolution

Annual Review of Virology

Vol. 2:161-179 (Volume publication date November 2015)
https://doi.org/10.1146/annurev-virology-100114-055135

Mark P. Zwart1,2 and Santiago F. Elena1,3

1Instituto de Biología Molecular y Celular de Plantas, Consejo Superior de Investigaciones Científicas–Universidad Politècnica de València, 46022 València, Spain; email: [email protected]

2Institute of Theoretical Physics, University of Cologne, 50937 Cologne, Germany; email: [email protected]

3The Santa Fe Institute, Santa Fe, New Mexico 87501

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  • Abstract
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  • INTRODUCTION
  • APPROACHES TO ESTIMATING BOTTLENECK SIZES
  • EMPIRICAL ESTIMATES OF VIRUS BOTTLENECK SIZES
  • IMPACT OF BOTTLENECKS ON VIRUS EVOLUTION
  • disclosure statement
  • acknowledgments
  • literature cited

Abstract

For virus infections of multicellular hosts, narrow genetic bottlenecks during transmission and within-host spread appear to be widespread. These bottlenecks will affect the maintenance of genetic variation in a virus population and the prevalence of mixed-strain infections, thereby ultimately determining the strength with which different random forces act during evolution. Here we consider different approaches for estimating bottleneck sizes and weigh their merits. We then review quantitative estimates of bottleneck size during cellular infection, within-host spread, horizontal transmission, and finally vertical transmission. In most cases we find that bottlenecks do regularly occur, although in many cases they appear to be virion-concentration dependent. Finally, we consider the evolutionary implications of genetic bottlenecks during virus infection. Although on average strong bottlenecks will lead to declines in fitness, we consider a number of scenarios in which bottlenecks could also be advantageous for viruses.

Keywords

genetic random drift, genetic variability, horizontal transmission, independent action hypothesis, vertical transmission, virus evolution

INTRODUCTION

During a full-blown virus infection, huge numbers of virions are often generated within the host. It is these huge numbers—in combination with high mutation rates—that generate the high levels of variability that facilitate the exploration of genotypic space, and thereby provide the raw materials that fuel the rapid adaptation often observed in virus populations in the clinic (1, 2), in the field (3), and in laboratory experiments (4). Whereas virus infections eventually lead to the production of large numbers of virions, the kinetics of incipient infections are more elusive (5); key events often cannot be observed directly, even with our contemporary arsenal of techniques (6). Although large numbers of virions are typically applied in challenge experiments, the notion that not all of them will effectively contribute to infection is intuitively appealing. Virions could fail to contribute to initiating infection because of (a) degradation by the host environment, (b) failure to bind to and enter host cells, due to stochastic spatial processes or physical barriers such as passive host defenses, (c) clearance by active host immune defenses, which also extends to initial infection sites, and (d) the fact that a considerable fraction of virions produced are noninfectious to begin with. But how many virions then effectively initiate the infection of a multicellular host? Classical studies on plant-virus local lesions—published over 75 years ago—first suggested the possibility of infections by a few infectious units, or even just one (7). Since then, new approaches for estimating the number of effectively infecting virions have been developed, and a range of new experimental techniques have become available. In many cases the number of virions that actually initiate infection appears to be very small (5, 8–19).

If virus infections are typically initiated by a small number of virions, the associated genetic bottlenecks could have profound effects on the development of disease in individual hosts as well as the evolution of virus populations over multiple rounds of host infection. A small number of infecting virions will increase the strength with which genetic drift acts, thereby increasing the strength of stochastic effects during evolution (20). Moreover, the number of infecting virions will also determine the extent to which mixed-genotype coinfections occur (5). The occurrence of mixed-genotype infections can limit the rate of pathogenesis-inducing interactions between virus genotypes (21, 22), while also limiting evolutionarily relevant interactions such as recombination between different virus genotypes (23). Although these two effects are in themselves straightforward, their evolutionary consequences may not always be intuitive.

In this review, we first consider the available approaches for estimating the size of population bottlenecks, which have links to models of virus infection kinetics. Next, we consider empirical estimates of virus population bottlenecks that occur during cellular infection, colonization of new host organs, horizontal transmission (nonparent to offspring), and vertical transmission (parent to offspring). Finally, we consider the potential effects of genetic bottlenecks on virus evolution suggested by theory and experimental observations. There is widespread evidence for the occurrence of genetic bottlenecks at different stages of infection. Although these bottlenecks will often have detrimental effects on virus populations, we also emphasize their potential benefits for viruses.

Genetic bottlenecks occur when the size of a population is strongly reduced, or when a small number of individuals from a large population colonize a new region (24) or, in the case of viruses, a new host or organ. The individuals that survive or colonize a new region found a new population, and hence are referred to as founders. We refer to the total number of founders as the size of the genetic bottleneck, to avoid confusion in talking about any specific founder. The founder effect occurs when the number of individuals that pass through the bottleneck is small enough that the frequency of genotypes in the new population of founders can be appreciably altered compared with that in the main population (Figure 1). From a conceptual perspective, a genetic bottleneck is a stochastic process: Individuals do or do not pass through the bottleneck at random, and regardless of their fitness or any phenotypic traits. Changes in genotype frequencies due to genetic bottlenecks—which are therefore entirely stochastic—are referred to as genetic drift. The number of individuals in a population at a given time point, determined by counting the number of actual individuals, is the census population size, N. The size of an idealized population that would behave—in terms of genetic drift—just as the population under study, is the effective population size, Ne. For populations that fluctuate in population size, Ne can be approximated as the size of the smallest bottleneck typically encountered (24).

figure
Figure 1 

In applying these concepts to viruses, we limit our discussion to infections of multicellular hosts initiated by a single, instantaneous exposure to a virus inoculum, or to the colonization of distal organs within the host by viruses spreading from the initial inoculation site. We do not consider host exposures to inocula at multiple time points: Whereas superinfections are biologically highly relevant, they are only beginning to be quantitatively studied and are a complex topic in their own right (25–27). Second, the number of virions that actually contribute genetically to infection is then the bottleneck size. We understand a genetic contribution to infection to be that a virus genotype has initiated a bona fide infection of a host and can be detected in the virus population found in that host, thereby acknowledging that sampling procedures and the sensitivity of detection techniques will undoubtedly affect estimates of bottleneck size. Third, many of the approaches used to study genetic bottlenecks require multiple, distinguishable virus “genotypes.” The ideal approach is to have two isogenic variants differing only in some neutral marker, such as a fluorescent protein or a noncoding sequence that can be specifically amplified. In practice, naturally occurring genotypes have been used in many studies, and even supposedly neutral markers are sometimes not entirely neutral. For some approaches the differences in the probability of infecting the host can be corrected for; the model then assumes a different probability of sampling each genotype, while the sampling itself is still random (5). Finally, in a virological context, genetic drift should also be carefully contrasted with antigenic drift; the latter is a phenomenological description of changes in the antigenic composition of virus populations, which appears to be mainly driven by selection for immune escape variants.

APPROACHES TO ESTIMATING BOTTLENECK SIZES

In attempting to estimate bottleneck sizes, the use of mathematical models is essential. For many model systems, it is difficult to directly observe early infection events without destructive sampling, necessitating the inference of bottleneck sizes from the virus populations present in systemically infected tissues. Moreover, even when early infection events can be observed quantitatively and tracked over time—for example, with plant viruses expressing marker proteins (16, 28)—whether and to what extent each site of primary infection contributes to systemic infection need to be inferred from the population present in systemically infected hosts (i.e., is it certain that each primary infection site actually contributed genetically to systemic infection?). Moreover, an important advantage of some of the mathematical models used to estimate the number of founders is that they take virion dose in the inoculum into account (5). In these cases, predictions of bottleneck size can be made over a range of inoculum doses, and inferences can be made about whether dose-dependent interactions (29) occur between virions.

Models of Infection Kinetics: Dose-Independent and Dose-Dependent Infection Probability Models

The simplest model of virus infection kinetics is the independent action hypothesis (IAH) (5, 30). This model assumes that each virion in the inoculum can be assigned a nonzero probability of infection that is independent of the inoculum dose, and that virions act independently of one another throughout the infection process. The number of effectively infecting virions, which is of course the genetic bottleneck size, is then simply the number of virions multiplied by the infection probability. If the model holds, the genetic bottleneck can be estimated for any dose. The model moreover makes other predictions, such as the overall rate of infection and the rate of mixed-genotype infections (5). In practice it is hard to measure the probability of infection per virion, and it is therefore usually estimated from the data. If a trait predicted by the model (e.g., genetic bottleneck size) can be measured at different doses, it can also be determined whether this simple model satisfactorily accounts for the data, or whether more complex models must be considered (29, 31–33). The IAH model is a gross simplification of the infection process, and for this reason, such a model may ring hollow for describing the intricacies of basic virus-host interactions. However, it must be remembered that—from a conceptual perspective—parsimony makes a model attractive, if indeed the model can account for observations. Although the IAH model clearly falls short in many instances, what is most surprising is the number of cases in which this model is supported by the data (5, 16). Moreover, when the IAH model is rejected, it is often due to simplifying assumptions made, and not to the principle of independent action itself. For example, for one case in which the simple IAH model with a fixed probability of infection was poorly supported by the data, allowing host susceptibility to vary over hosts resulted in better model support than alternative infection models without independent action (33). The IAH model is therefore a good starting point for understanding virus infection kinetics.

When the IAH model is not supported by the data, alternative infection models must be considered. First, the probability of infection per virion can be virion dose dependent (29). If it becomes harder for each virion to infect as the dose is increased, there is antagonistic dose-dependent action. If it becomes easier for each virion to infect as the dose increases, there is synergistic dose-dependent action. Second, more complex models that suppose the infection process consists of two or more stages could be considered (18, 33). For example, the virus can cause localized primary infections, and these primary infections interact with each other to establish systemic infection (34). These interactions—undoubtedly modulated by the host immune system—can also be synergistic or antagonistic. Finally, in some cases, completely different models have to be considered. For example, for some multipartite viruses, there is an extreme form of dependent action: Infection proceeds only when all required genome segments are present (35).

Mixed-Variant Infections

A common approach to estimating the number of infection founders has been to consider the frequency of mixed-variant infections (10, 11, 36). Hosts are challenged with a virus inoculum composed of one or more variants, of which the frequencies are usually known. In an ideal situation, these variants are genetically identical other than an easy-to-distinguish neutral marker, although this approach can still be used if there are small infectivity or fitness differences. However, any situation in which different genotypes are used is undesirable, because interactions between genotypes could mask the interactions between conspecific individuals that we are actually interested in when making first estimates of founder numbers. The host population is then screened for the presence of the virus genotypes, and the frequencies of single- and mixed-variant infection are determined. A model is then required to estimate from these frequency data the number of founders.

A range of approaches have been used to estimate the number of founders. Numerous mathematical models can be used to estimate the number of founders from the frequency of mixed-variant infections. The simplest mathematical model assumes a fixed number of founders, and then assumes the variants follow a binomial distribution (36). In other words, a coin is flipped a fixed number of times to determine how often a virus variant is found in infected hosts. A slightly more complex model assumes the total number of founders follows a Poisson distribution, and that the distribution of variants in turn follows a binomial distribution (5). (Alternatively, the distribution of founders for each variant follows a Poisson distribution.) In other words, a coin is flipped a variable number of times. Both of these approaches assume no interactions between virions or virus variants, but such interactions can be included in two-stage infection models if there are reasons to suspect them (18).

If there are no or extremely few mixed-variant infections, then the number of infection founders must be approximately 1, and hence no mathematical model is needed. This approach is used in classical bacteriological (37, 38) and virological (8) studies, and it is often linked to the idea of independent action. One must be careful with semantics here: Such a result shows that a single infectious unit founded the infection in the host, but it does not tell us much about infection kinetics and whether infectious units act independently. That is, strong antagonistic dependent action will always lead to single-variant infections, whereas in a low-dose range, synergistic dependent action can also lead to single-variant infections. On the other hand, if there are only mixed-variant infections, other approaches must be used to estimate the number of founders, because, for example, only the lower bound of a confidence interval for the founder number can be estimated using the frequency of mixed-variant infections.

If all hosts display mixed-variant infections, estimates of the number of founders can be made using two methods if (a) the frequency of variants can be determined in individual hosts and (b) there are no fitness differences between the virus variants. The first method makes use of Wright's fixation index (FST), which allows for the partitioning of genetic variance within and between populations (39, 40). The number of founders can then be estimated based on data from any two time points or tissues. An alternative method that tends to give similar results uses changes in the variance of the frequencies of variants to estimate the number of founders, because there is a simple relationship between the number of founders and the increase in variance due to genetic drift (41).

Estimating Genetic Bottleneck Size from the Number of Primary Infection Sites

The first estimates of the number of founders of virus infection were reported in the 1930s by Bald (7), who exploited the fact that—in some nonpermissive plant hosts—primary sites of virus infection result in a strong, highly localized necrotic host response: a local lesion. Bald counted the number of local lesions produced on leaves inoculated with different dilutions of a viral inoculum, a method that has since been widely used to titer plant virus preparations and to study infection kinetics (42, 43). For this approach, the number of founders of infection is simply the number of local lesions observed. Although this method is very straightforward and robust (44), it has two key disadvantages. Only plant viruses typically produce quantifiable local lesions and—given the effectiveness of this host response in preventing viral spread and systemic infection—local lesion numbers may have little or no bearing on what happens in a permissive host.

However, with currently available technologies such as the expression of marker proteins by the viruses, these limitations can be mitigated to some extent. Primary infection sites have been quantified by using plant viruses marked with fluorescent markers, allowing for studies in permissive hosts (16). Furthermore, this approach can also be applied in other hosts, such as Venezuelan equine encephalitis virus (VEEV) infection of midgut cells (15), although sampling is then destructive. Nevertheless, one shortcoming of this approach remains: It does not address to what extent each primary infection site actually contributes genetically to systemic infection. Such limitations could, in principle, be overcome by tracking infection from cell to cell, which is feasible to some extent in plants (45) and may very well also work in other hosts.

Dose Response

Although the dose-response relationship is usually not used to estimate the number of founders of infection, it is still highly pertinent to this discussion. First, dose-response data have been used to test the IAH model (29, 33), which if supported implies that the minimum number of founders is 1 at low doses. Druett (30) recognized that the IAH model with a fixed probability of infection leads to a fixed sigmoid-shaped response, which shifts its position only as the probability of infection is changed (Figure 1). This property has led to many tests of the IAH model over the years—in both virus and bacterial systems—by comparing observed infection levels or mortality in experiments to model predictions (5, 9, 14, 16, 29, 32, 33, 46, 47). This approach has gained considerable traction with experimentalists probably because of the straightforward experiments and wide applicability to any virus system in which the infection status of individual hosts can be determined. A range of approaches have been developed for comparing data to IAH predictions, and most tests rely on model selection (32): Does the IAH model adequately describe the data, or is a less parsimonious alternative model required? Second, founder estimates can be made directly from response data under IAH assumptions: If the zero term of a Poisson distribution describes the fraction of noninfected hosts, the corresponding mean is the average number of infecting virions (5). But how much weight can be given to these tests of IAH and the possibility of making founder estimates?

A considerable number of theoretical studies have highlighted the serious limitations and conundrums when analyzing dose-response data (9, 29, 31–33, 35, 44). IAH predicts a sigmoid-shaped dose response, but many models of infection kinetics can predict similar curves. For example, consider the combined effect of synergistic dependent action, which results in a steeper dose response, and variability in host susceptibility, which results in a more gradual dose response. The resulting response can be practically indistinguishable from IAH predictions (Figure 1). Moreover, dose response is also a very insensitive test to small deviations from IAH (44).

Concluding Remarks and Outlook on Approaches to Estimate Founder Numbers

Methods based on mixed infection of virus variants provide the most convincing and relevant estimates of the number of viral founders of infection. Whereas methods based on foci counting are direct and in principle robust, the implications of such estimates for founder numbers in full-blown systemic infections are not obvious. Dose-response-based methods are perhaps interesting as a “quick-and-dirty” method, but given the indirect nature of founder estimates and problems with identifiability of different dose-response models, their value is limited. Methods based on mixed infections are rather direct and robust when model assumptions are met, and by using marked isogenic virus variants, the possibility for interactions between these variants can be reduced practically to nil. Interactions between conspecific virions could still occur, and hence a modeling framework can be useful to detect them and consider their effects (18).

EMPIRICAL ESTIMATES OF VIRUS BOTTLENECK SIZES

Now that we have reviewed different approaches for estimating founder numbers, we consider empirical estimates of bottleneck sizes reported in the literature. We first consider bottlenecks that occur within the host at the cell and tissue levels, followed by bottlenecks that occur during horizontal transmission.

Cell-Level Within-Host Bottlenecks

Viruses are obligate intracellular parasites, and hence a bottleneck can occur during the infection of an individual cell. Bottleneck size in individual cells is usually referred to as the cellular multiplicity of infection (MOI). We give only a synopsis of the different results obtained in this field for the sake of completeness (Table 1), while noting that these studies have overcome a number of major technical hurdles (45, 48–51). Note that here we report the MOI in infected cells only, values of which can range from 1—because cells considered are by definition infected—to infinity (52). Bull et al. (50, 51) provided the first estimate of cellular MOI for a multicellular host: infection of insect larvae by the alphabaculovirus Autographa californica multiple nucleopolyhedrovirus (AcMNPV). An innovative approach was used that exploits the fact that multiple alphabaculovirus genotypes can be embedded in the same occlusion body (53)—the horizontal transmission vehicle—leading to an estimate of MOI in the final round of infection of 4.3 (50, 51). We also made an estimate of MOI for a second insect virus pathosystem, VEEV infection of mosquitoes, using data on primary infection of midgut cells reported by Smith et al. (15). Using Model 2 (52), we estimate MOI in this case to be very low, with a value of 1.094.

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Table 1

Overview of cellular bottleneck size estimates

For plant viruses, a number of estimates of MOI have been made using different methods, including (a) detection of fluorescently labeled virus variants in protoplasts by microscopy (48) or flow cytometry (54), (b) observation of fluorescently labeled viruses in situ (27, 45), and (c) PCR-based detection of virus variants in protoplasts (49). This has led to low MOI estimates for tobacco mosaic virus (TMV) and tobacco etch virus (TEV), although both appear to increase over time (34, 48, 55). For citrus tristeza virus (CTV), very low MOI values were found during full-blown infection, suggesting the existence of a second mechanism of superinfection exclusion in CTV (27). Cauliflower mosaic virus (CaMV) MOI appears to increase and subsequently decrease over time, showing a wide range of values, ranging from 2 to 13 (49). The MOI for RNA2 of soil-borne wheat mosaic virus (SBWMV) is between 4 and 5 during the second and third round of cellular infection (45). Although MOI estimates are variable for these different systems, there are two trends in the data: (a) MOI is initially low, often near the minimum value of 1, and (b) MOI appears to increase following initial infection. The high initial MOI values for SBWMV may be due to its multipartite nature, as multipartite viruses are predicted to require high MOI values (56). Taken together, the MOI data also suggest that the high levels of infection may explain the high MOI for CaMV, as the rate of cellular infection is not as high in any other model system studied (Table 1). In general, we can therefore probably expect bottlenecks at the cellular level, especially during early infection.

Organ- and Systemic-Level Within-Host Bottlenecks

After infection has been established in a host organism, genetic bottlenecks can still occur during the colonization of new host tissues. Possible reasons for such bottlenecks include (a) the clearance of most virions by the host immune system, (b) few virions breaching a barrier or establishing infection in a particular tissue, or (c) few virions reaching certain host organs due to the host's physiology. An overview of quantitative estimates of within-host bottlenecks is given in Table 2.

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Table 2

Overview of within-host bottleneck size estimates

Due to the planar anatomy of leaves and the ease with which they can be observed and cleanly removed from the host, plants have proved to be excellent model systems for studying within-host bottlenecks occurring during virus movement from one leaf to the next. A large number of studies have estimated the number of founders as viruses move from the inoculated leaf to other leaves. Hall et al. (10) pioneered this approach, simply using two natural strains of wheat streak mosaic virus (WSMV), which could be distinguished by restriction digests of RT-PCR products. It was estimated that there were 4 viral founders of infection during virus spread to a new tiller in wheat plants (36). Sacristán et al. (11) estimated genetic bottlenecks during TMV spread to systemically infected leaves—using different combinations of nearly isogenic strains—and also found a low number of founders. In contrast, studies have found much larger founder numbers during the colonization of leaves for CaMV (41) and pea seed-borne mosaic virus (PSbMV) (18). Other studies have shown that genetic bottlenecks occur during the colonization of systemic leaves, without actually making estimates of bottleneck sizes (12, 13, 57). In these cases, however, the number of genotypes found can give a rough estimate, because the experimental populations used were composed of a large number of genotypes.

What could explain differences in bottleneck sizes in these different studies? Of course different host-virus pathosystems are being used, but a couple of studies have proposed more general explanations. First of all, Gutiérrez et al. (58) have shown a correlation between the virion levels in the phloem—measured using an innovative approach employing aphids—and the size of the bottleneck in a leaf. Second, Tromas et al. (54) estimated TEV bottleneck sizes during spread to different leaves in tobacco and consistently found differences between differently positioned leaves. These differences could be explained by the host physiology; sink-source transitions, which determine where virions will be carried in the host plant; and host anatomy, that is, how the phloem is wired in the host plant and which sources are likely to contribute to which sinks. Hence, differences in the number of viruses being transported to leaves and their ability to be unloaded in these leaves may be important determinants of within-host bottleneck sizes in plant viruses.

For RNA animal viruses, many studies show good evidence for bottlenecks during within-host viral spread, but there are few quantitative estimates of founder numbers. Arbovirus infection of mosquitoes is thought to lead to numerous within-host bottlenecks, as shown by reductions in genetic diversity (59), although in one instance such bottlenecks were not observed for West Nile virus (WNV) (60). Forrester et al. (17) showed that a bottleneck exists between primary VEEV infection of midgut cells and subsequent infection in the hemocoel. Moreover, founder numbers depend on the inoculum dose, varying between 1 for low doses and 50 for high doses. For poliovirus, Kuss et al. (61) have shown the existence of multiple within-host bottlenecks in mice expressing the human poliovirus receptor. Interestingly, upon the downregulation of the host interferon response, within-host bottlenecks were no longer observed. For animal DNA viruses, the consistent high frequency of mixed infections of murine cytomegalovirus during spread from the peritoneum to the salivary glands of mice suggests there is not a strong bottleneck (62). For alphabaculovirus infection of insect larvae, however, the high variation between virus-variant frequencies suggests there may be further bottlenecks downstream of primary infection sites (33).

Finally, it is worth noting that bottlenecks can in principle occur during sustained infection of a particular tissue, if virus levels fluctuate over time. Such fluctuations could be due to the host immune system, but they might be induced by other environmental factors or—in the case of defective interfering viruses—the virus population itself (63, 64). If MOI is low and few cells are infected, we can expect some founder effects in such situations. Nevertheless, to the best of our knowledge, no estimates of such temporal bottlenecks have been made, although for hepatitis C virus infections one may very well occur (65). However, there is likely a large supply of potentially beneficial mutations during an established infection, due to the large N and high mutation rates. Coupled to the strong selection imposed by, for example, immune responses, there is likely a predominant role for selection under such a scenario. Although challenging to estimate from a computational perspective, bottlenecks during sustained infection may be of importance to understanding within-host infection dynamics.

Estimates of Bottleneck Size During Horizontal Transmission

Next we consider empirical estimates of bottleneck size during primary infection only or for complete host-to-host transmission, which have been determined for many systems (Table 3). For plant viruses, Hall et al. (10) showed that a bottleneck occurs during aphid transmission of WSMV between wheat plants, and based on the combined data reported, we use Model 2 (52) to estimate the number of founders to be 1.30. Moury et al. (19) estimated founder numbers upon aphid-borne transmission of potato virus Y (PVY) between pepper plants—using mixtures of infectious and noninfectious virus variants—and estimated a narrow bottleneck: 0.5 to 3 virions per insect. Betancourt et al. (66) then made an estimate for aphid-borne transmission of the multipartite cucumber mosaic virus (CMV) between tomato plants and also estimated 1–2 founders per transmission event. Evidence for narrow bottlenecks has been found in other studies on transmission by different aphid species to different plant hosts, although estimates of bottleneck size were not made. Sacristán et al. (67) showed there was a narrow bottleneck upon transmission by brushing of leaves, without estimating bottleneck size. We recently estimated founder size upon mechanical inoculation with different virion doses and found dose-dependent founder numbers—in accordance with IAH predictions—between 1 and 50 virions (16). Taken together, these results show that for plant viruses there can be narrow bottlenecks during horizontal transmission, although at least for mechanical transmission this depends on virion dose.

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Table 3

Overview of between-host transmission bottlenecks

For animal viruses, estimates of bottleneck size during horizontal transmission have also been made. Smith et al. (15) showed that even when the number of primary VEEV infection sites approaches 1, a considerable proportion of mosquitoes still become systemically infected, a finding further detailed in follow-up work by the same group. These results show that founder number for systemic infection can approach 1, and furthermore that it is also dose dependent (17). Turning to animal DNA viruses, there are a number of studies on horizontal-transmission founder numbers for baculoviruses. Using natural virus isolates administered at low doses, Smith & Crook (8) argued that for both alpha- and betabaculoviruses, narrow bottlenecks approaching 1 could occur. This idea was revisited for baculoviruses later on, with an experimental test of IAH (5). No estimates of founder numbers were reported in the study, but they can be easily made using Model 2 (52). For example, for AcMNPV infection of Spodoptera exigua third-instar larvae, this procedure renders bottleneck size estimates ranging from 1.3 at low doses to 5.3 at higher doses. In other hosts, the frequency of mixed-variant infections was much higher than expected under IAH (5), which a follow-up study showed is probably due to variation in host susceptibility (33).

What is striking when all the estimates for bottleneck sizes for horizontal transmission are considered together is the relationship with infection level (Figure 2). This relationship appears to be roughly similar to IAH predictions, suggesting that infection levels can be used to make a rough first estimate of bottleneck size. However, cases in which the simple IAH model is not supported (33) can for some doses clearly lead to predictions that clash with the model, urging caution, especially if highly variable real-world host populations are to be considered.

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Figure 2 

Estimates of Bottleneck Size During Vertical Transmission

Many viruses are transmitted vertically, and as such, it would be valuable to better understand the evolutionary dynamics of vertical transmission. This area has, however, long been neglected and has only recently received more attention. Three experimental evolution studies have confirmed that vertical transmission can lead to reductions in virulence and fitness, as compared with horizontal transmission (68–70). In one study, the evolution of increased rates of horizontal transmission was paired with reductions in virus titer (69), which raises the question of how low-accumulation variants can outcompete those with higher accumulation. Genetic bottlenecks could clearly play an important role, providing for the segregation of virus variants. Moreover, clinical studies on human immunodeficiency virus type 1 strongly suggest that there is a narrow bottleneck during transmission in utero or during parturition (71).

An experimental estimate of bottleneck size during vertical transmission is therefore most welcome and was recently provided—for the first time—by Fabré et al. (18). The authors considered the seed-borne transmission by peas of PSbMV and estimated a low founder number of 0.84. Interestingly, the authors' analysis strongly suggests that the occurrence of infections in seedlings is positively density dependent, whereas the different virus variants might inhibit each other. A narrow transmission bottleneck in an experimental system in which vertical transmission is readily achieved suggests such bottlenecks might also occur in other systems in which vertical transmission is scarcer. Further studies will hopefully shed light on the generality of this phenomenon.

IMPACT OF BOTTLENECKS ON VIRUS EVOLUTION

We have reviewed how experimental studies show that narrow genetic bottlenecks are common during many stages in the life history of a virus: between-host transmission, initial infection, spread within the host, and cellular infection. Such bottlenecking events are generally perceived to be disadvantageous for evolving populations, as they lead to random changes in genotype frequencies—counteracting selection—and they can reduce advantageous genetic variation in a virus population. Indeed, a range of studies in cell culture and in host organisms have shown that continuously bottlenecking a virus population unleashes Muller's ratchet (72–77): In each bottleneck new mutations are fixed that are likely to be deleterious, and reductions in fitness may in turn lead to smaller bottleneck sizes, thus driving the population into a mutational meltdown (78). Moreover, a number of studies have shown that genetic variation in virus populations may be advantageous for a virus: Different genotypes have propensities to invade different host tissues (79, 80). Bottlenecks could remove these variants from the population, although it should be mentioned that in these cases error-prone viral polymerases would normally rapidly generate the required variants. Moreover, beneficial de novo variation will also need to reach a given frequency in a virus population before it is likely to carry over a bottleneck, meaning that narrow bottlenecks, or frequent wider bottlenecks, can hamper adaptation (81). Understanding how viruses manage to thrive despite these bottlenecks is therefore highly interesting and relevant.

However, we feel another perspective on virus population bottlenecks could be given more consideration: They can also have important advantages for viruses (Figure 3). First, population bottlenecks can very effectively remove cheaters—such as defective interfering viruses—from virus populations (82). Widespread occurrence of bottlenecks is probably one important reason why defective interfering viruses are not common in natural pathosystems. Second, Miyashita & Kishino (45) generalized this point by convincingly arguing that population bottlenecks can make selection more effective, if beneficial alleles also act in trans. For example, a mutation might improve the activity of an inhibitor of apoptosis, while a high cellular MOI confers the benefit to all viruses in cells infected by a variant carrying the mutation. Selection will be stronger when MOI is low, and the difference in apoptosis inhibition between virus genotypes becomes apparent. This argument works at the cellular level, but it might also be applicable at the organ or host level.

figure
Figure 3 

Another possible advantage of genetic bottlenecks could be their effects on evolutionary trajectories in rugged fitness landscapes (83). A number of studies have considered what the interactions are between different mutations in the viral genome (i.e., epistasis). These studies have typically found strong epistatic interactions between mutations—indicative of a rugged fitness landscape—and in particular many cases of positive-magnitude epistasis (84). In some cases reciprocal-sign epistasis has been observed (85, 86): The fitness of two strains with individual mutations (Ab or aB) is lower or higher than the fitness of wild-type (ab) or double-mutant (AB) strains. Reciprocal-sign epistasis is characteristic and necessary for rugged fitness landscapes with multiple fitness peaks (87). On such a landscape, it becomes readily possible for viruses to become trapped on suboptimal fitness peaks (88). In some cases relatively low and smooth peaks can be more favorable than high but steep peaks (the “survival of the flattest” effect) (89). Given the typical distribution of mutational fitness effects for a virus and of epistatic interactions, the fixation of mutations by drift will on average lower fitness. However, the fixation of these mutations may be necessary to traverse a valley in the fitness landscape, depending on the exact topography of the fitness landscape, mutation rates, and bottleneck sizes. Whereas a large N between bottleneck events—during infection of an organ or host—leads to the effective reconnoitering of the local genotypic space and strong selection, intermittent genetic bottlenecks between infections can benefit populations by allowing for the exploration of rugged genotypic spaces with multiple fitness peaks. Narrow genetic bottlenecks during the virus infection cycle are probably caused by limitations imposed by the host environment. But in some cases these bottlenecks could have some advantages, and there may not be strong selection—on the between-cell, between-organ, or between-host level—to eliminate them.

disclosure statement

The authors are not aware of any affiliations, memberships, funding, or financial holdings that might be perceived as affecting the objectivity of this review.

acknowledgments

The authors appreciate financial support from Spain Ministry of Economy and Competitiveness grant BFU2012-30805 and Generalitat Valenciana grant PROMETEOII/2014/021 to S.F.E.

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      • ...Transmission between host species presents further evolutionary barriers to transmitted populations (178...
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      • ...and frequent bottlenecks on large populations all contribute to the impact of evolutionary forces on virus populations (38, 93) (see sidebar titled Evolutionary Processes Imprint Virus Genomes)....
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      • ...The mean number of nonpersistent virus particles inoculated to a host plant by an aphid has been estimated as between only 0.5 and 3.2 particles for Potato virus Y (genus Potyvirus) (90)...

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      • ...The validity and explanatory power of viral quasispecies theory have been much debated in the literature (92...
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      • ...though there is controversy concerning some of the implications of this phenomenon (38, 57, 60, 63, 64)....
      • ...the mutational coupling that results in genetic relatedness among virions in the quasispecies may be analogous to kin selection in population genetics theory (63)....
    • How Mutational Networks Shape Evolution: Lessons from RNA Models

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      • EVOLUTION OF WHEAT STREAK MOSAIC VIRUS: Dynamics of Population Growth Within Plants May Explain Limited Variation

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        • ...little direct evidence for stringent selection is available and other explanations are possible (18, 44)....
      • VARIABILITY AND GENETIC STRUCTURE OF PLANT VIRUS POPULATIONS

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        • ...and because all its hypotheses are also contemplated in classical population genetics theory [for detailed discussions see (127, 175)]....

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        • ...This value is also known as the population migration rate or 2NM (Wright 1931)....
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        • ...One useful descriptor is the increase in relatedness between alleles in a population, i.e., inbreeding (Wright 1931)....
        • ...Common ancestry is the inevitable outcome of genetic drift in a finite population because drift consists of fluctuations in the frequencies of alternative alleles, eventually leading to fixation (Fisher 1922, Wright 1931)....
        • ...discrete-generation population of N breeding individuals; the next generation is formed by random draws with replacement from the pool of 2N genes of the parental generation (Fisher 1922, Wright 1931)....
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      • Directions in Evolutionary Biology

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        • ...it applies both under the commonly used Wright-Fisher model (Fisher 1930, Wright 1931), ...
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        • ... has suggested using estimates of gene flow between populations derived from population genetics (e.g. 125, 147, 148) to help determine species boundaries (i.e. certain values of FGT [110] indicate that gene flow is absent or neglible between groups of populations)....
      • A Comparison of Alternative Strategies for Estimating Gene Flow from Genetic Markers

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        • ...and the two parameters: population size, N, and rate of migration, m (127, 130, 131, 132, 133)....
        • ...using allozyme markers to estimate FST and Wright's island model (127, 129)...
        • ...which is equivalent to the continent-island model introduced by Wright (127, 129)....
        • ...Wright's work on nonrandom mating provided the theoretical foundation for estimates of gene flow from allozyme data (127, 130, 131, 132, 133)....
        • ...nonoverlapping generations of diploid organisms, Wright (127) found the following often-cited relationship between FST, ...
        • ...The standard approach for estimation of M is based on Wright's island model (127), ...
      • RNA VIRUS MUTATIONS AND FITNESS FOR SURVIVAL

        E. DomingoCentro de Biología Molecular “Severo Ochoa” (CSIC-UAM), Universidad Autónoma de Madrid, Cantoblanco, Madrid, 28049 Spain e-mail: [email protected] J. J. HollandDepartment of Biology and Molecular Genetics, University of California, San Diego, 9500 Gilman Drive, La Jolla, California 92093-0116
        Annual Review of Microbiology Vol. 51: 151 - 178
        • ...In terms of the classical fitness landscape concept of S Wright (212), ...
      • MOTOO KIMURA

        Tomoko OhtaDepartment of Population Genetics, National Institute of Genetics, Mishima, Shizuoka-ken 411, Japan
        Annual Review of Genetics Vol. 30: 1 - 5
        • ...When he first started reading Wright's 1931 paper (16), he thought it might take ten years for him to understand it....
      • DEMOGRAPHIC AND GENETIC MODELS IN CONSERVATION BIOLOGY: Applications and Perspectives for Tropical Rain Forest Tree Species

        E. R. Alvarez-Buylla, R. García-Barrios, C. Lara-Moreno, and M. Martínez-RamosCentro de Ecología, Ap. Postal 70-275, México D.F. 04510, México
        Annual Review of Ecology and Systematics Vol. 27: 387 - 421
        • ...a value of Nm greater than 1 will be required to prevent genetic divergence of sub-populations resulting from genetic drift (171)....

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      • Plant Virus–Derived Vectors: Applications in Agricultural and Medical Biotechnology

        Peter Abrahamian,1 Rosemarie W. Hammond,1 and John Hammond21Molecular Plant Pathology Laboratory, Beltsville Agricultural Research Center, United States Department of Agriculture, Agricultural Research Service, Beltsville, Maryland 20705, USA2Floral and Nursery Plants Research Unit, United States National Arboretum, United States Department of Agriculture, Agricultural Research Service, Beltsville, Maryland 20705, USA; email: [email protected]
        Annual Review of Virology Vol. 7: 513 - 535
        • ...inoculation of citrus plants was carried out by stem-slashing or bark flap inoculation into 1–1.5-year-old Citrus macrophylla seedlings (68, 84) using virions purified from infected N. benthamiana plants (85, 86)....
      • Citrus Tristeza Virus: Making an Ally from an Enemy

        William O. Dawson1, Moshe Bar-Joseph,2 Stephen M. Garnsey,1 and Pedro Moreno31Department of Plant Pathology, Citrus Research and Education Center, University of Florida, Lake Alfred, Florida 33850; email: [email protected], [email protected]2The S. Tolkowsky Laboratory, The Volcani Center, Bet Dagan 50250, Israel (retired); email: [email protected]3Instituto Valenciano de Investigaciones Agrarias, Moncada, 46113-Valencia, Spain (retired); email: [email protected]
        Annual Review of Phytopathology Vol. 53: 137 - 155
        • ...only isolates from the same strain exclude other members of that strain (35)....
      • Virus-Based Transient Expression Vectors for Woody Crops: A New Frontier for Vector Design and Use

        William O. Dawson1 and Svetlana Y. Folimonova21Department of Plant Pathology, Citrus Research and Education Center, University of Florida, Lake Alfred, Florida 33850; email: [email protected]2Department of Plant Pathology, University of Florida, Gainesville, Florida 32611; email: [email protected]
        Annual Review of Phytopathology Vol. 51: 321 - 337
        • ...spatial separation, localization within the host cell, and insect transmission (5, 10, 17, 18, 19, 21, 24, 25, 26, 35, 39, 50, 56, 61, 62, 70, 71, 72, 73, 74)....
        • ..., examination of the interactions between different strains of CTV (26), ...
        • ...We found that superinfection exclusion prevents challenge infections only with CTV isolates from the same sequence group (strain) (26)....

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      • RNA Interference Mechanisms and Applications in Plant Pathology

        Cristina Rosa,1, Yen-Wen Kuo,2, Hada Wuriyanghan,3 and Bryce W. Falk21Department of Plant Pathology and Environmental Microbiology, The Pennsylvania State University, University Park, Pennsylvania 16802, USA2Department of Plant Pathology, University of California, Davis, California 95616, USA; email: [email protected]3School of Life Sciences, University of Inner Mongolia, Hohhot, Inner Mongolia 010021, China
        Annual Review of Phytopathology Vol. 56: 581 - 610
        • ...other mechanisms are also reported in cross protection events for some virus-plant combinations (14, 15, 87, 190...
      • Citrus Tristeza Virus: Making an Ally from an Enemy

        William O. Dawson1, Moshe Bar-Joseph,2 Stephen M. Garnsey,1 and Pedro Moreno31Department of Plant Pathology, Citrus Research and Education Center, University of Florida, Lake Alfred, Florida 33850; email: [email protected], [email protected]2The S. Tolkowsky Laboratory, The Volcani Center, Bet Dagan 50250, Israel (retired); email: [email protected]3Instituto Valenciano de Investigaciones Agrarias, Moncada, 46113-Valencia, Spain (retired); email: [email protected]
        Annual Review of Phytopathology Vol. 53: 137 - 155
        • ...In using mutants of CTV that fail to cross-protect and are recombinant for different colors of fluorescent proteins, a very small proportion of cells become doubly infected (16)....
      • Grapevine Leafroll Disease and Associated Viruses: A Unique Pathosystem

        Rayapati A. Naidu,1, Hans J. Maree,2,3 and Johan T. Burger21Department of Plant Pathology, Irrigated Agriculture Research and Extension Center, Washington State University, Prosser, Washington 99350; email: [email protected]2Department of Genetics, Stellenbosch University, Stellenbosch 7602, South Africa; email: [email protected], [email protected]3Agricultural Research Council, Infruitec-Nietvoorbij (The Fruit, Vine and Wine Institute), Stellenbosch 7599, South Africa
        Annual Review of Phytopathology Vol. 53: 613 - 634
        • ...superinfection exclusion (SIE) or homologous interference, recently explored with CTV (18), ...

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      • Virus-Based Transient Expression Vectors for Woody Crops: A New Frontier for Vector Design and Use

        William O. Dawson1 and Svetlana Y. Folimonova21Department of Plant Pathology, Citrus Research and Education Center, University of Florida, Lake Alfred, Florida 33850; email: [email protected]2Department of Plant Pathology, University of Florida, Gainesville, Florida 32611; email: [email protected]
        Annual Review of Phytopathology Vol. 51: 321 - 337
        • ...spatial separation, localization within the host cell, and insect transmission (5, 10, 17, 18, 19, 21, 24, 25, 26, 35, 39, 50, 56, 61, 62, 70, 71, 72, 73, 74)....
      • MAKING AN ALLY FROM AN ENEMY: Plant Virology and the New Agriculture

        Gregory P. Pogue, John A. Lindbo, Stephen J. Garger, and Wayne P. FitzmauriceLarge Scale Biology Corporation, 3333 Vaca Valley Pkwy, Vacaville, CA 95688; e-mail: [email protected] [email protected] [email protected] [email protected]
        Annual Review of Phytopathology Vol. 40: 45 - 74
        • ...Vectors have been generated from members of poty- and clostero-virus groups (32, 50) by inserting a gene of interest into a polyprotein ORF and creating additional proteinase cleavage sites to flank the foreign protein (Table 1)....
      • PLANT VIRUS GENE VECTORS FOR TRANSIENT EXPRESSION OF FOREIGN PROTEINS IN PLANTS

        Herman B. Scholthof and Karen-Beth G. ScholthofDepartment of Plant Pathology and Microbiology, Texas A&M University, College Station, Texas 77843 Andrew O. JacksonDepartment of Plant Biology, University of California, Berkeley, California 94720
        Annual Review of Phytopathology Vol. 34: 299 - 323
        • ...Another rod-shaped virus that has successfully been exploited as a relatively stable gene insertion vector is tobacco etch virus (TEV), a potyvirus (18)....
        • ...These precise engineering requirements have been used to insert the GUS gene between the N-terminal 35-kDa proteinase and the helper component-proteinase (HC-Pro) of TEV (18)....
        • ...Thus, expression of GUS from TEV (18) has been used to demonstrate that the coat protein is involved in cell-to-cell movement (17)...

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      • Developments in Plant Negative-Strand RNA Virus Reverse Genetics

        Andrew O. Jackson2 and Zhenghe Li1,1State Key Laboratory of Rice Biology, Institute of Biotechnology, Zhejiang University, Hangzhou, 310058 China; email: [email protected]2Department of Plant and Microbial Biology, University of California, Berkeley, California 94720; email: [email protected]
        Annual Review of Phytopathology Vol. 54: 469 - 498
        • ...increased numbers of infection foci correlate with earlier systemic infections and a greater proportion of infected cells in systemically infected leaves (68, 104)....

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      • ASSESSMENT OF BACTERIAL PATHOGENESIS BY ANALYSIS OF GENE EXPRESSION IN THE HOST

        Michael J. Mahan1, Douglas M. Heithoff, Robert L. Sinsheimer, and David A. LowDepartment of Molecular1, Cellular and Developmental Biology, University of California, Santa Barbara, California 93106; e-mail: [email protected]
        Annual Review of Genetics Vol. 34: 139 - 164
        • ...Since bacterial infections often originate from clonal expansion of a single cell (91, 100), ...
      • In Vivo Genetic Analysis of Bacterial Virulence

        Su L. Chiang,1 John J. Mekalanos,1 and David W. Holden21Department of Microbiology and Molecular Genetics and Shipley Institute of Medicine, Harvard Medical School, Boston, Massachusetts 02115; e-mail: [email protected] , [email protected] 2Department of Infectious Diseases, Imperial College of Science, Technology and Medicine, Hammersmith Hospital, London W12 ONN, United Kingdom; e-mail: [email protected]
        Annual Review of Microbiology Vol. 53: 129 - 154
        • ...which showed (more than 30 years ago) that bacterial cells cause infection by independent rather than synergistic action (47)....
        • ...These types of studies have hitherto been restricted by the small number of markers available for strain identification (47, 52)....
        • ...From IVET, STM, and earlier studies (47), it is clear that, ...

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      • ASSESSMENT OF BACTERIAL PATHOGENESIS BY ANALYSIS OF GENE EXPRESSION IN THE HOST

        Michael J. Mahan1, Douglas M. Heithoff, Robert L. Sinsheimer, and David A. LowDepartment of Molecular1, Cellular and Developmental Biology, University of California, Santa Barbara, California 93106; e-mail: [email protected]
        Annual Review of Genetics Vol. 34: 139 - 164
        • ...Since bacterial infections often originate from clonal expansion of a single cell (91, 100), ...
      • In Vivo Genetic Analysis of Bacterial Virulence

        Su L. Chiang,1 John J. Mekalanos,1 and David W. Holden21Department of Microbiology and Molecular Genetics and Shipley Institute of Medicine, Harvard Medical School, Boston, Massachusetts 02115; e-mail: [email protected] , [email protected] 2Department of Infectious Diseases, Imperial College of Science, Technology and Medicine, Hammersmith Hospital, London W12 ONN, United Kingdom; e-mail: [email protected]
        Annual Review of Microbiology Vol. 53: 129 - 154
        • ...These types of studies have hitherto been restricted by the small number of markers available for strain identification (47, 52)....

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      Wright S. 1951. The genetical structure of populations. Ann. Eugen. 15:323–54
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      • DNA Mixtures in Forensic Investigations: The Statistical State of the Art

        Julia MorteraDepartment of Economics, Università Roma Tre, 00145 Rome, Italy; email: [email protected]
        Annual Review of Statistics and Its Application Vol. 7: 111 - 142
        • ...and they identify θ with Sewell Wright's , a measure of interpopulation variation (Wright 1951)....
      • Spatial Population Genetics: It's About Time

        Gideon S. Bradburd1 and Peter L. Ralph2,31Ecology, Evolutionary Biology, and Behavior Group, Department of Integrative Biology, Michigan State University, East Lansing, Michigan 48824, USA; email: [email protected]2Institute of Ecology and Evolution, Department of Biology, University of Oregon, Eugene, Oregon 97403, USA3Department of Mathematics, University of Oregon, Eugene, Oregon 97403, USA
        Annual Review of Ecology, Evolution, and Systematics Vol. 50: 427 - 449
        • ...the statistics used to analyze these data sets—e.g., empirical measurements of FST (Wright 1951)...
        • ...The most common measure of how much more closely related neighbors are to each other relative to the population as a whole is (Wright 1951), ...
      • Divergence with Gene Flow: Models and Data

        Catarina Pinho1 and Jody Hey21CIBIO, Centro de Investigação em Biodiversidade e Recursos Genéticos, Universidade do Porto. Campus Agrário de Vairão, 4485-661 Vairão, Portugal; email: [email protected]2Department of Genetics, Rutgers University, Piscataway, New Jersey 08854; email: [email protected]
        Annual Review of Ecology, Evolution, and Systematics Vol. 41: 215 - 230
        • Molecular Estimation of Dispersal for Ecology and Population Genetics

          Thomas Broquet1 and Eric J. Petit2,31Department of Ecology and Evolution, University of Lausanne, CH-1015 Lausanne, Switzerland; email: [email protected]2INRA/Agrocampus Ouest/Univ. Rennes 1, UMR 1099 BiO3P (Biology of Organisms and Populations applied to Plant Protection), Domaine de la Motte, 35653 Le Rheu, France; email: [email protected]3University Rennes 1/CNRS, UMR 6553 ECOBIO, Campus de Beaulieu, 35042 Rennes Cedex, France
          Annual Review of Ecology, Evolution, and Systematics Vol. 40: 193 - 216
          • ...Most genetic-based quantifications of dispersal published to date are based on the relationship established by Sewall Wright (1931, 1943, 1951) between Neme (the product of the effective size of a population and the effective dispersal rate) and FST, ...
          • ...The majority of species show a hierarchical organization, which classically includes populations made of individual organisms (Wright 1951)....
        • The Effects of Genetic and Geographic Structure on Neutral Variation

          Brian Charlesworth, Deborah Charlesworth, and Nicholas H. BartonInstitute for Cell, Animal, and Population Biology, University of Edinburgh, Edinburgh EH9 3JT, United Kingdom; email: [email protected] [email protected] [email protected]
          Annual Review of Ecology, Evolution, and Systematics Vol. 34: 99 - 125
          • ...depend on both the Ne values of demes and the pattern of gene flow among them (Maruyama 1977, Wright 1951)....
          • ...unless the products of migration rates and the effective population sizes of demes are around 1 or less (Maruyama 1977, Nagylaki 1980, Wright 1951)....
          • ...The most widely used measures of between-population differentiation relative to within-population variation are Wright's FST (Wright 1943, 1951)...
          • ...Although FST has classically been defined in terms of variance in allele frequencies (Nagylaki 1998b, Wright 1943, 1951)...
          • ...The corresponding expression for FST reduces to Wright's classical formula (Wright 1943, 1951) when there are many demes....
        • Genetic Variation in Rare and Common Plants

          Christopher T. ColeDivision of Science and Mathematics, University of Minnesota-Morris, Morris, Minnesota 56267; email: [email protected]
          Annual Review of Ecology, Evolution, and Systematics Vol. 34: 213 - 237
          • ...Although most reports measured differentiation of allozyme frequencies among populations in terms of Wright's FST (1951), ...
          • ...m) can be estimated in two ways. Wright (1951) noted that this product is inversely related to the level of population differentiation, ...
        • Estimating F-Statistics

          B. S. WeirProgram in Statistical Genetics, Department of Statistics, North Carolina State University, Raleigh, North Carolina 27695-7566 W. G. HillInstitute for Cell, Animal and Population Biology, University of Edinburgh, Edinburgh EH9 3JT, United Kingdom
          Annual Review of Genetics Vol. 36: 721 - 750
          • ...the expected) population and this is why Wright (104) used the notation FST, ...
        • Estimating Divergence Times from Molecular Data on Phylogenetic and Population Genetic Timescales

          Brian S. ArbogastDepartment of Biological Sciences, Humboldt State University, Arcata, California 95521; email: [email protected] Scott V. EdwardsDepartment of Zoology, University of Washington, Seattle, Washington 98195; email: [email protected] John WakeleyDepartment of Organismic and Evolutionary Biology, Harvard University, Cambridge, Massachusetts 02138; email: [email protected] Peter BeerliDepartment of Genome Sciences, University of Washington, Seattle, Washington 98195; email: [email protected] Joseph B. SlowinskiCalifornia Academy of Sciences, San Francisco, California
          Annual Review of Ecology and Systematics Vol. 33: 707 - 740
          • ...This gene divergence is simply the coalescent analogue of any sort of polymorphism at a locus in the ancestral species and has been known since the time of Wright to have an expectation of 2N generations when the ancestral species is a randomly mating population (Wright 1951)....
          • ...Subdivision increases the effective size of a species (Wright 1943, 1951)....
        • Dispersal in Freshwater Invertebrates

          David T. Bilton,1 Joanna R. Freeland,2 and Beth Okamura31Benthic Ecology Research Group, Department of Biological Sciences, University of Plymouth, Drake Circus, Plymouth PL4 8AA, United Kingdom; e-mail: [email protected] 2Department of Biological Sciences, The Open University, Milton Keynes, United Kingdom MK7 6AA; e-mail: [email protected] 3School of Animal and Microbial Sciences, University of Reading, Whiteknights, P.O. Box 228, Reading RG6 6AJ, United Kingdom; e-mail: [email protected]
          Annual Review of Ecology and Systematics Vol. 32: 159 - 181
          • ...The most common approach for inferring gene flow (Nm) from genetic data is based on the variance in allele frequencies among populations, e.g., Wright's FST (Wright 1951), ...
        • POPULATION GENOMICS: Genome-Wide Sampling of Insect Populations

          William C. Black IV,1 Charles F. Baer,2 Michael F. Antolin,3 and Nancy M. DuTeau1Departments of 1Microbiology Colorado State University, Fort Collins, Colorado 80523; e-mail: [email protected] [email protected] 2Ecology and Evolution Program, University of Oregon, Eugene, Oregon 97403-1210; e-mail: [email protected] Departments of 3Biology, Colorado State University, Fort Collins, Colorado 80523; [email protected]
          Annual Review of Entomology Vol. 46: 441 - 469
          • ...The statistical measurements that are frequently discussed in this review (and in the population genomics literature) for describing and analyzing this type of variation are Fis and Fst (148). Fis is a measure of the observed numbers of heterozygotes (Hobs) relative to the expected number of heterozygotes (Hexp) under assumptions of the Hardy-Weinberg model. Fis can vary from −1 to 1....
        • GENETICS OF MODERN HUMAN ORIGINS AND DIVERSITY

          John H. RelethfordDepartment of Anthropology, State University of New York, College at Oneonta, Oneonta, New York 13820; e-mail: [email protected]
          Annual Review of Anthropology Vol. 27: 1 - 23
          • ...A number of studies have shown that the relative proportion of among-group variation, FST (Wright 1951), ...
        • A Comparison of Alternative Strategies for Estimating Gene Flow from Genetic Markers

          Joseph E. NeigelDepartment of Biology, University of Southwestern Louisiana, Lafayette, Louisiana 70504; e-mail: [email protected]
          Annual Review of Ecology and Systematics Vol. 28: 105 - 128
          • ...and the two parameters: population size, N, and rate of migration, m (127, 130, 131, 132, 133)....
          • ...Because FST can be interpreted as the standardized variance in the frequency of an allele among populations (132), ...
          • ...Wright's work on nonrandom mating provided the theoretical foundation for estimates of gene flow from allozyme data (127, 130, 131, 132, 133)....
          • ...to partition departures from random mating into components due to nonrandom mating within populations and to population subdivision (132)....
          • ...The quantity relevant to gene flow is FST (132)....
          • ...the frequency of an allele, among subpopulations: FST ≃ σ2p/p(1 − p) (132)....

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        Weir BS, Cockerham CC. 1984. Estimating F-statistics for the analysis of population structure. Evolution 38:1358–70
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        • Native American Genomics and Population Histories

          Deborah A. Bolnick,1,2 Jennifer A. Raff,3 Lauren C. Springs,1 Austin W. Reynolds,1,4 and Aida T. Miró-Herrans11Department of Anthropology, University of Texas at Austin, Austin, Texas 78712; email: [email protected], [email protected], [email protected], [email protected]2Population Research Center, University of Texas at Austin, Austin, Texas 787123Department of Anthropology, University of Kansas, Lawrence, Kansas 66045-7556; email: [email protected]4Department of Integrative Biology, University of Texas at Austin, Austin, Texas 78712
          Annual Review of Anthropology Vol. 45: 319 - 340
          • ...Classic methods detect loci under selection by comparing allele frequencies between populations (Weir & Cockerham 1984)...
        • Domestication Genomics: Evidence from Animals

          Guo-Dong Wang, Hai-Bing Xie, Min-Sheng Peng, David Irwin, and Ya-Ping ZhangState Key Laboratory of Genetic Resources and Evolution and Yunnan Laboratory of Molecular Biology of Domestic Animals, Kunming Institute of Zoology, Chinese Academy of Sciences, Kunming 650223, China; email: [email protected]
          Annual Review of Animal Biosciences Vol. 2: 65 - 84
          • ...Recent selection in a population can also lead to high levels of genetic differentiation between populations. Fst (F statistic) is frequently used to measure the genetic differentiation between populations (120)....
        • Operational Criteria for Delimiting Species

          Jack W. Sites, Jr., and Jonathon C. MarshallDepartment of Integrative Biology and M.L. Bean Life Science Museum, Brigham Young University, Provo, 84602-5181; email: [email protected], [email protected]
          Annual Review of Ecology, Evolution, and Systematics Vol. 35: 199 - 227
          • ...Porter used the estimator θ (Weir & Cockerham 1984) in place ofFST and an isolation-by-distance model in place of Wright's (1931)...
        • The Effects of Genetic and Geographic Structure on Neutral Variation

          Brian Charlesworth, Deborah Charlesworth, and Nicholas H. BartonInstitute for Cell, Animal, and Population Biology, University of Edinburgh, Edinburgh EH9 3JT, United Kingdom; email: [email protected] [email protected] [email protected]
          Annual Review of Ecology, Evolution, and Systematics Vol. 34: 99 - 125
          • ... and related measures such as GST (Nei 1973) and θ (Weir & Cockerham 1984)....
          • ...with appropriate corrections for sampling biases (Hudson et al. 1992, Weir & Cockerham 1984)....
        • Estimating F-Statistics

          B. S. WeirProgram in Statistical Genetics, Department of Statistics, North Carolina State University, Raleigh, North Carolina 27695-7566 W. G. HillInstitute for Cell, Animal and Population Biology, University of Edinburgh, Edinburgh EH9 3JT, United Kingdom
          Annual Review of Genetics Vol. 36: 721 - 750
          • ...was described by Weir & Cockerham in 1984 (100) and is still widely cited....
          • ...Weir & Cockerham (100) published a set of equations for estimating the parameter FST or θ that describes the genetic structure of populations....
          • ...and this is the essence of the method of moments used by Weir & Cockerham (100)....
          • ...The estimator of θ described by Weir & Cockerham (100) used the actual sample sizes in each sample in order to reduce bias, ...
          • ...Raufaste & Bonhomme confirmed the prediction of Weir & Cockerham (100) that their weighting was satisfactory for larger values of θ, ...
          • ...They compared two estimators of the form where the variance components (Va among populations and Vt total) were for allele frequencies (100)...
          • ...Weir & Cockerham (100) pointed out that the performance of their estimator reflects the method they used for combining information over multiple alleles at a locus, ...
          • ...Weir & Cockerham (100) assumed that θii′ = 0 for all i′ ≠ i....
          • ...Weir & Cockerham (100) note that there are two unknown quantities, ...
          • ... where This led Weir & Cockerham (100) to their moment estimator of θ: To the extent that the expected value of this quantity is the ratio of expectations of its numerator and denominator, ...
          • ...Weir & Cockerham (100) combined information over alleles by summing numerator and denominator separately 5 and they found by simulation that this method of weighting over alleles generally provides low bias and variance....
          • ...These terms have expectations Information from loci with the same values of ϕi can be combined as for the earlier Weir & Cockerham estimator (100): ....
          • ...The quantity βW = (θW − θA)/(1 − θA) can be estimated as 9 For equal sample sizes this reduces to the estimator in Equation 5 given by Weir & Cockerham (100)....
          • ...This review has extended Weir & Cockerham (100) in two directions....
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          David T. Bilton,1 Joanna R. Freeland,2 and Beth Okamura31Benthic Ecology Research Group, Department of Biological Sciences, University of Plymouth, Drake Circus, Plymouth PL4 8AA, United Kingdom; e-mail: [email protected] 2Department of Biological Sciences, The Open University, Milton Keynes, United Kingdom MK7 6AA; e-mail: [email protected] 3School of Animal and Microbial Sciences, University of Reading, Whiteknights, P.O. Box 228, Reading RG6 6AJ, United Kingdom; e-mail: [email protected]
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          • ..., Nei's GST (Nei 1972), and Weir's θ (Weir & Cockerham 1984)....
        • A Comparison of Alternative Strategies for Estimating Gene Flow from Genetic Markers

          Joseph E. NeigelDepartment of Biology, University of Southwestern Louisiana, Lafayette, Louisiana 70504; e-mail: [email protected]
          Annual Review of Ecology and Systematics Vol. 28: 105 - 128
          • ...which has led to progressive refinements in how FST is estimated (21, 102, 124)....
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          • ...There has been much confusion over what F-statistics actually represent, and how they should be estimated (21, 95, 124, 133)....
          • ...Weir & Cockerham (124) have recommended that parameters be given precise definitions and that they be clearly distinguished from statistics....
          • ...because the expectation of FST as a statistic is not equal to FST as a parameter. FST as a statistic adds components of variance due to sampling individuals and subpopulation to the actual variance in allele frequencies among subpopulations (74, 124)....
          • ...it has been considered a statistic that can be used as an estimator of FST (124)....
          • ...and it has been useful to consider them as alternative estimators of the same underlying parameter (21, 98, 102, 124)....
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          Fernando García-Arenal1, Aurora Fraile1, and José M. Malpica21Departamento de Biotecnología, E.T.S.I. Agrónomos, Universidad Politécnica de Madrid, Madrid, 28040 Spain; e-mail: [email protected] 2Departamento de Protección Vegetal, Instituto Nacional de Investigación y Tecnología Agraria y Alimentaria, Carretera de La Coruña Km 7.5, Madrid, 28040 Spain
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        • Viral Manipulation of Plant Host Membranes

          Jean-François Laliberté1 and Huanquan Zheng21INRS–Institut Armand-Frappier, Institut National de la Recherche Scientifique, Laval, Québec H7V 1B7, Canada; email: [email protected]2Department of Biology, McGill University, Montréal, Québec H3A 1B1, Canada; email: [email protected]
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          Jiasui Zhan1,2 and Bruce A. McDonald31Key Lab for Biopesticide and Chemical Biology, Ministry of Education, Fujian Agriculture and Forestry University, Fuzhou, 350002, China; email: [email protected]2Institute of Plant Virology, Fujian Agriculture and Forestry University, Fuzhou, 350002, China3Institute of Integrative Biology, ETH Zürich, Zürich, CH-8092, Switzerland; email: [email protected]
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        • Viral Manipulation of Plant Host Membranes

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          Annual Review of Virology Vol. 1: 237 - 259
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          Jiasui Zhan1,2 and Bruce A. McDonald31Key Lab for Biopesticide and Chemical Biology, Ministry of Education, Fujian Agriculture and Forestry University, Fuzhou, 350002, China; email: [email protected]2Institute of Plant Virology, Fujian Agriculture and Forestry University, Fuzhou, 350002, China3Institute of Integrative Biology, ETH Zürich, Zürich, CH-8092, Switzerland; email: [email protected]
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          Jenny S. Cory1 and Judith H. Myers21Molecular Ecology and Biocontrol Group, NERC Center for Ecology and Hydrology, Mansfield Road, Oxford, United Kingdom, OX1 3SR; email: [email protected] 2Center for Biodiversity Research, Departments of Zoology and Agricultural Science, University of British Columbia, Vancouver, Canada, V6T 1Z4; email: [email protected]
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        • The Ecology and Evolution of Insect Baculoviruses

          Jenny S. Cory1 and Judith H. Myers21Molecular Ecology and Biocontrol Group, NERC Center for Ecology and Hydrology, Mansfield Road, Oxford, United Kingdom, OX1 3SR; email: [email protected] 2Center for Biodiversity Research, Departments of Zoology and Agricultural Science, University of British Columbia, Vancouver, Canada, V6T 1Z4; email: [email protected]
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        • A Multiscale Approach to Plant Disease Using the Metacommunity Concept

          Elizabeth T. Borer,1, Anna-Liisa Laine,2 and Eric W. Seabloom11Department of Ecology, Evolution, and Behavior, University of Minnesota, St. Paul, Minnesota 55108; email: [email protected], [email protected]2Centre of Excellence in Metapopulation Biology, Department of Biosciences, University of Helsinki, FI-00014, Finland; email: [email protected]
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          Yannis Michalakis1 and Stéphane Blanc21Maladies Infectieuses et Vecteurs Écologie, Génétique, Évolution et Contrôle (MIVEGEC), Centre National de la Recherche Scientifique (CNRS), Institut de Recherche pour le Développement (IRD), Université Montpellier, 34394 Montpellier, France; email: [email protected]2Unité Mixte de Recherche—Biologie et Génétique des Interactions Plante-Parasite (UMR BGPI), Institut National de Recherche en Agriculture, Alimentation et Environnement (INRAE), Centre de Coopération Internationale en Recherche Agronomique pour le Développement (CIRAD), Montpellier SupAgro, Université Montpellier, 34398 Montpellier, France; email: [email protected]
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          Fernando García-Arenal1, Aurora Fraile1, and José M. Malpica21Departamento de Biotecnología, E.T.S.I. Agrónomos, Universidad Politécnica de Madrid, Madrid, 28040 Spain; e-mail: [email protected] 2Departamento de Protección Vegetal, Instituto Nacional de Investigación y Tecnología Agraria y Alimentaria, Carretera de La Coruña Km 7.5, Madrid, 28040 Spain
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        • Mechanisms and Concepts in RNA Virus Population Dynamics and Evolution

          Patrick T. Dolan,1,2 Zachary J. Whitfield,2 and Raul Andino21Department of Biology, Stanford University, Stanford, California 94305, USA2Department of Microbiology and Immunology, University of California, San Francisco, California 94143, USA; email: [email protected]
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        • Sharka Epidemiology and Worldwide Management Strategies: Learning Lessons to Optimize Disease Control in Perennial Plants

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        • Tolerance of Plants to Pathogens: A Unifying View

          Israel Pagán and Fernando García-ArenalCentro de Biotecnología y Genómica de Plantas (CBGP), Universidad Politécnica de Madrid (UPM) and Instituto Nacional de Investigación y Tecnología Agraria y Alimentaria (INIA), and E.T.S.I. Agronómica, Alimentaria y de Biosistemas, Campus de Montegancedo, UPM, 28223 Pozuelo de Alarcón, Madrid, Spain; email: [email protected]
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          Dieter EbertUniversität Basel, Zoologisches Institut, 4051 Basel, Switzerland; Wissenschaftskolleg zu Berlin, 14193 Berlin, Germany; email: [email protected]
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          Michael F. AntolinDepartment of Biology, Colorado State University, Fort Collins, Colorado 80523; email: [email protected]
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        • Tolerance of Plants to Pathogens: A Unifying View

          Israel Pagán and Fernando García-ArenalCentro de Biotecnología y Genómica de Plantas (CBGP), Universidad Politécnica de Madrid (UPM) and Instituto Nacional de Investigación y Tecnología Agraria y Alimentaria (INIA), and E.T.S.I. Agronómica, Alimentaria y de Biosistemas, Campus de Montegancedo, UPM, 28223 Pozuelo de Alarcón, Madrid, Spain; email: [email protected]
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        • Avoiding Extinction: Recent Advances in Understanding Mechanisms of Mitochondrial DNA Purifying Selection in the Germline

          Swathi P. Jeedigunta, Anastasia V. Minenkova, Jonathan M. Palozzi, and Thomas R. HurdDepartment of Molecular Genetics, University of Toronto, Toronto, Ontario M5G 1M1, Canada; email: [email protected]
          Annual Review of Genomics and Human Genetics Vol. 22: 55 - 80
          • ...a phenomenon predicted by Muller and demonstrated in asexually reproducing populations of viruses, bacteria, yeast, and worms (7, 26, 45, 60, 100, 146)....
        • Mechanisms and Concepts in RNA Virus Population Dynamics and Evolution

          Patrick T. Dolan,1,2 Zachary J. Whitfield,2 and Raul Andino21Department of Biology, Stanford University, Stanford, California 94305, USA2Department of Microbiology and Immunology, University of California, San Francisco, California 94143, USA; email: [email protected]
          Annual Review of Virology Vol. 5: 69 - 92
          • ...demonstrating that limited recombination increases the influence of drift on population fitness in small populations (49...
        • The Utility of Fisher's Geometric Model in Evolutionary Genetics

          O. TenaillonInstitut National de la Santé et de la Recherche Médicale (INSERM), Unité Mixte de Recherche (UMR) 1137, Infection, Antimicrobiens, Modélisation, Evolution (IAME), F-75018 Paris, France; email: olivier.[email protected]UMR 1137, IAME, Université Paris Diderot, Sorbonne Paris Cité, F-75018 Paris, France
          Annual Review of Ecology, Evolution, and Systematics Vol. 45: 179 - 201
          • ...It also agrees with the mutation accumulation experiments done in microbes (Chao 1990, Kibota & Lynch 1996)....
          • ...which has been recovered in several experimental systems (Chao 1990, Maisnier-Patin et al. 2002)....
        • On the Biological Success of Viruses

          Brian R. Wasik and Paul E. TurnerDepartment of Ecology and Evolutionary Biology, Yale University, New Haven, Connecticut 06520-8106; email: [email protected], [email protected]
          Annual Review of Microbiology Vol. 67: 519 - 541
          • ...and high mutation rate can create a mutational load that causes a viral population to decline in fitness rather than improve (15)....
          • ...This process consisted of passage through extreme daily bottlenecks (plaque-to-plaque transfers) in which drift overwhelms selection because the small population size causes spontaneous mutations (most of them deleterious) to fix at random (15)....
        • Virus Evolution: Insights from an Experimental Approach

          Santiago F. Elena and Rafael SanjuánInstituto de Biología Molecular y Celular de Plantas, Consejo Superior de Investigaciones Científicas-Universidad Politécnica de Valencia, 46022 València, Spain; email: [email protected]
          Annual Review of Ecology, Evolution, and Systematics Vol. 38: 27 - 52
          • ...Sustained plaque-to-plaque passages of a variety of RNA viruses, including φ6 (Chao 1990), ...
        • Origin of Mutations Under Selection: The Adaptive Mutation Controversy

          John R. Roth,1 Elisabeth Kugelberg1 Andrew B. Reams1 Eric Kofoid1 and Dan I. Andersson21Microbiology Section, Division of Biological Sciences, University of California, Davis, California 95616; email: [email protected], [email protected], [email protected], [email protected]2Department of Medical Biochemistry and Microbiology, Uppsala University, Uppsala SE-751 23, Sweden; email: [email protected]
          Annual Review of Microbiology Vol. 60: 477 - 501
          • ...and no sexual recombination needs to keep mutation rates low (2, 14, 23, 65, 69)....
        • Mechanisms of Retroviral Recombination

          Matteo Negroni1 and Henri Buc21Unité de Regulation Enzymatique des Activités Cellulaires, FRE 2364–CNRS, e-mail: [email protected] 2URA 1960–CNRS; Institut Pasteur, 25-28 rue du Dr. Roux, Paris cedex 15, 75724 France;
          Annual Review of Genetics Vol. 35: 275 - 302
          • ... whereby small samples of highly variable RNA viruses accumulate mutations that lead to the generation of subpopulations with a lower fitness (23)....
        • RNA VIRUS MUTATIONS AND FITNESS FOR SURVIVAL

          E. DomingoCentro de Biología Molecular “Severo Ochoa” (CSIC-UAM), Universidad Autónoma de Madrid, Cantoblanco, Madrid, 28049 Spain e-mail: [email protected] J. J. HollandDepartment of Biology and Molecular Genetics, University of California, San Diego, 9500 Gilman Drive, La Jolla, California 92093-0116
          Annual Review of Microbiology Vol. 51: 151 - 178
          • ...This allows a ranking of relative fitness values that can be established by growth-competition experiments in mixed infections in which the initial viruses are genetically or phenotypically distinguishable (7, 24, 88, 123)....
          • ...Repeated plaque-to plaque transfers of RNA virus clones (genetic bottlenecks) result in average fitness losses of the ensuing populations relative to the parental clones or populations (24, 29, 57, 71)....
        • MECHANISMS OF PLANTVIRUS EVOLUTION

          Marilyn J. RoossinckPlant Biology Division, The S.R. Noble Foundation, Post Office Box 2180, Ardmore, Oklahoma 73402-2180; e-mail: [email protected]
          Annual Review of Phytopathology Vol. 35: 191 - 209
          • ...This concept has been tested in the RNA phage φ6, a dsRNA multipartite virus (13, 14), ...
          • ...Since population size affects fitness dramatically (13, 16, 58, 98, 99), with small population bottlenecks ratcheting down fitness, ...
        • HELPER-DEPENDENT VECTOR TRANSMISSION OF PLANT VIRUSES

          Thomas P. PironeDepartment of Plant Pathology, University of Kentucky, Lexington, Kentucky 40546 Stéphane BlancStation de Recherches de Pathologie Comparée, INRA-CNRS, Saint Christol-les-Alès, 30380 France
          Annual Review of Phytopathology Vol. 34: 227 - 247
          • ...Most of the experimentally determined decreases in virus fitness occurring under such conditions have been attributed to “Muller's ratchet” (22, 26, 37)....

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        • Spontaneous Mutation Accumulation Studies in Evolutionary Genetics

          Daniel L. Halligan and Peter D. KeightleyInstitute of Evolutionary Biology, University of Edinburgh, Edinburgh EH9 3JT, United Kingdom; email: [email protected], [email protected]
          Annual Review of Ecology, Evolution, and Systematics Vol. 40: 151 - 172
          • Virus Evolution: Insights from an Experimental Approach

            Santiago F. Elena and Rafael SanjuánInstituto de Biología Molecular y Celular de Plantas, Consejo Superior de Investigaciones Científicas-Universidad Politécnica de Valencia, 46022 València, Spain; email: [email protected]
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            • ..., MS2 (de la Peña et al. 2000), VSV (Duarte et al. 1992), ...
          • VARIABILITY AND GENETIC STRUCTURE OF PLANT VIRUS POPULATIONS

            Fernando García-Arenal1, Aurora Fraile1, and José M. Malpica21Departamento de Biotecnología, E.T.S.I. Agrónomos, Universidad Politécnica de Madrid, Madrid, 28040 Spain; e-mail: [email protected] 2Departamento de Protección Vegetal, Instituto Nacional de Investigación y Tecnología Agraria y Alimentaria, Carretera de La Coruña Km 7.5, Madrid, 28040 Spain
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            • ...of viruses can be drawn from a series of elegant papers by the groups of Domingo, Holland & Moya with Vesicular stomatitis virus (42, 45, 120, 134)....
          • RNA VIRUS MUTATIONS AND FITNESS FOR SURVIVAL

            E. DomingoCentro de Biología Molecular “Severo Ochoa” (CSIC-UAM), Universidad Autónoma de Madrid, Cantoblanco, Madrid, 28049 Spain e-mail: [email protected] J. J. HollandDepartment of Biology and Molecular Genetics, University of California, San Diego, 9500 Gilman Drive, La Jolla, California 92093-0116
            Annual Review of Microbiology Vol. 51: 151 - 178
            • ...Repeated plaque-to plaque transfers of RNA virus clones (genetic bottlenecks) result in average fitness losses of the ensuing populations relative to the parental clones or populations (24, 29, 57, 71)....
          • HELPER-DEPENDENT VECTOR TRANSMISSION OF PLANT VIRUSES

            Thomas P. PironeDepartment of Plant Pathology, University of Kentucky, Lexington, Kentucky 40546 Stéphane BlancStation de Recherches de Pathologie Comparée, INRA-CNRS, Saint Christol-les-Alès, 30380 France
            Annual Review of Phytopathology Vol. 34: 227 - 247
            • ...Most of the experimentally determined decreases in virus fitness occurring under such conditions have been attributed to “Muller's ratchet” (22, 26, 37)....

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          • Virus Evolution: Insights from an Experimental Approach

            Santiago F. Elena and Rafael SanjuánInstituto de Biología Molecular y Celular de Plantas, Consejo Superior de Investigaciones Científicas-Universidad Politécnica de Valencia, 46022 València, Spain; email: [email protected]
            Annual Review of Ecology, Evolution, and Systematics Vol. 38: 27 - 52
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          • Viral Error Catastrophe by Mutagenic Nucleosides

            Jon P. Anderson,1 Richard Daifuku,2 and Lawrence A. Loeb11The Joseph Gottstein Memorial Cancer Research Laboratory, Departments of Pathology and Biochemistry, University of Washington,
            Seattle, Washington 98195
            ; email: [email protected]; [email protected]2Koronis Pharmaceuticals, Redmond,
            Washington 98052
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          • Viral Error Catastrophe by Mutagenic Nucleosides

            Jon P. Anderson,1 Richard Daifuku,2 and Lawrence A. Loeb11The Joseph Gottstein Memorial Cancer Research Laboratory, Departments of Pathology and Biochemistry, University of Washington,
            Seattle, Washington 98195
            ; email: [email protected]; [email protected]2Koronis Pharmaceuticals, Redmond,
            Washington 98052
            ; email: [email protected]
            Annual Review of Microbiology Vol. 58: 183 - 205
            • ...This high diversity within the viral population allows for rapid adaptability in the event of environmental change and for the rapid emergence of resistance to antiviral drugs and immunological defenses (11, 43)....

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          • RNA-RNA Recombination in Plant Virus Replication and Evolution

            Joanna Sztuba-Solińska,1 Anna Urbanowicz,2 Marek Figlerowicz,2,3 and Jozef J. Bujarski1,21Plant Molecular Biology Center, Department of Biological Sciences, Northern Illinois University, DeKalb, Illinois 60115; email: [email protected]2Institute of Bioorganic Chemistry, Polish Academy of Sciences, 61-704 Poznan, Poland3Institute of Computing Science, Poznan University of Technology, 60-965 Poznan, Poland
            Annual Review of Phytopathology Vol. 49: 415 - 443
            • ...Fitness declines were reported after bottleneck passages in CMV (5), Tobacco etch virus (TEV) (32), ...
          • The Evolutionary Genetics of Emerging Viruses

            Edward C. HolmesCenter for Infectious Disease Dynamics, Department of Biology, Mueller Laboratory, Pennsylvania State University, University Park, Pennsylvania 16802; email: [email protected] and Fogarty International Center, National Institutes of Health, Bethesda, Maryland 20892
            Annual Review of Ecology, Evolution, and Systematics Vol. 40: 353 - 372
            • ...the emerging consensus from studies of this process in RNA viruses is that most epistatic interactions are antagonistic (Bonhoeffer et al. 2004; Burch & Chao 2004; de la Iglesia & Elena 2007...

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          • Playing on a Pathogen's Weakness: Using Evolution to Guide Sustainable Plant Disease Control Strategies

            Jiasui Zhan,1,2, Peter H. Thrall,3 Julien Papaïx,4,5 Lianhui Xie,2 and Jeremy J. Burdon31Key Laboratory for Biopesticide and Chemical Biology, Ministry of Education, Fujian Agriculture and Forestry University, Fuzhou, 350002, China; email: [email protected]2Fujian Key Laboratory of Plant Virology, Institute of Plant Virology, Fujian Agriculture and Forestry University, Fuzhou, 350002, China; email: [email protected]3CSIRO Agriculture Flagship, Canberra, ACT 2601, Australia; email: [email protected], [email protected]4INRA, Santé des Plantes et Environnement, UR 1290 BIOGER-CPP, 78850 Thiverval-Grignon, France; email: [email protected]5INRA, Mathématiques et Informatiques Appliquées, UR 341 MIAJ, 78352 Jouy-en-Josas, France
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          • The Biology of Chernobyl

            Timothy A. MousseauDepartment of Biological Sciences, University of South Carolina, Columbia, South Carolina 29208, USA; email: [email protected]
            Annual Review of Ecology, Evolution, and Systematics Vol. 52: 87 - 109
            • ...and fundamentally important questions related to population viability and extinction (Lynch et al. 1995, Higgins & Lynch 2001)....
            • ...provides support to the idea that mutational load can drive population growth rates and local extinction events (e.g., Lynch et al. 1995, Higgins & Lynch 2001), ...
          • Mutation Load: The Fitness of Individuals in Populations Where Deleterious Alleles Are Abundant

            Aneil F. Agrawal1 and Michael C. Whitlock21Department of Ecology & Evolutionary Biology, University of Toronto, Toronto, Ontario, Canada M5S 3B2; email: [email protected]2Department of Zoology, University of British Columbia, Vancouver, British Columbia, Canada V6T 1Z4; email: [email protected]
            Annual Review of Ecology, Evolution, and Systematics Vol. 43: 115 - 135
            • ...and such load can potentially even contribute to the extinction of small populations (Lynch et al. 1995)....
            • ...the conversion of mutation load to drift load), potentially leading to mutational meltdowns (Lynch et al. 1995)....
          • The Repatterning of Eukaryotic Genomes by Random Genetic Drift

            Michael Lynch, 1 Louis-Marie Bobay, 2 Francesco Catania, 3 Jean-François Gout, 1 and Mina Rho41Department of Biology and4Department of Computer Science, Indiana University, Bloomington, Indiana 47408; email: [email protected]2Microbial Evolutionary Genomics, Institut Pasteur, CNRS, URA2171, F-75724 Paris, France3Department of Animal and Plant Sciences, University of Sheffield, Sheffield S10 2TN, United Kingdom
            Annual Review of Genomics and Human Genetics Vol. 12: 347 - 366
            • ...Although the latter effect can lead to extinction of a sufficiently small population (73, 74), ...
          • Spontaneous Mutation Accumulation Studies in Evolutionary Genetics

            Daniel L. Halligan and Peter D. KeightleyInstitute of Evolutionary Biology, University of Edinburgh, Edinburgh EH9 3JT, United Kingdom; email: [email protected], [email protected]
            Annual Review of Ecology, Evolution, and Systematics Vol. 40: 151 - 172
            • ...and the persistence of small populations (Lande 1994, Lynch et al. 1995)....
          • Do Plant Populations Purge Their Genetic Load? Effects of Population Size and Mating History on Inbreeding Depression

            D. L. Byers* and D. M. Waller+*Department of Biological Sciences, Illinois State University, Campus Box 4120, Normal, Illinois 61790; e-mail: [email protected] ;+Department of Botany, University of Wisconsin-Madison, 430 Lincoln Drive, Madison, Wisconsin 53706; e-mail: [email protected]
            Annual Review of Ecology and Systematics Vol. 30: 479 - 513
            • ...Recent theoretical work suggests that purging may be ineffective in small populations in which mutations may accumulate to the point that they threaten population persistence (e.g., 110)....
            • ...Recent theoretical work suggests that populations of several thousand may be necessary to maintain quantitative genetic variation and slow the accumulation of deleterious mutations (14, 101, 110)....
            • ... linked demographic and genetic models to demonstrate how the accumulation of deleterious mutations may reduce population persistence via a runaway process they term “mutational meltdown.” These models have now been extended to include sexual populations; they conclude that populations with Ne < 100 are highly vulnerable to extinction on time scales of about 100 generations (110)....
            • ...in that some mutations will be fixed as purging is occurring, particularly in small populations (110)....
          • DEMOGRAPHIC AND GENETIC MODELS IN CONSERVATION BIOLOGY: Applications and Perspectives for Tropical Rain Forest Tree Species

            E. R. Alvarez-Buylla, R. García-Barrios, C. Lara-Moreno, and M. Martínez-RamosCentro de Ecología, Ap. Postal 70-275, México D.F. 04510, México
            Annual Review of Ecology and Systematics Vol. 27: 387 - 421
            • ...the form of the function that relates extinction risk to population size is not clear (99)....
            • ...determining MVP in the order of several thousands and census population sizes of more than 10,000 individuals (89, 98, 99, 100)....
            • ...More recent models incorporate the effect of new mildly detrimental mutations that accumulate and might become fixed by random genetic drift and gradually decreasing fitness (4-MVP) (89, 90, 98, 99, 100)....
            • ...Recent theoretical developments that integrate explicit genetic factors to stochastic demographic models are providing new estimates of MVP and important insights concerning the relative role of genetic and demographic factors in determining risk to extinction of populations of different sizes (89, 90, 98, 99, ...
            • ...There is much need of this type of estimates for other organisms, particularly for plants (see review in 99)....
            • ...Incorporation of inbreeding depression due to segregation of preexisting mutations does not yield a significant increase in estimates of MVP (see Table 3) (99)....
            • ...determine a nearly exponential relationship between mean time to extinction and population size (see also 98, 99)....
            • ...Analyses will probably have to rely almost entirely on simulations or on transition matrix approaches such as those proposed by Lynch et al (99)....
            • ...Rigorous demographic-genetic models (89, 90, 99, 100) that incorporate population substructuring and gene flow should aid in resolving the effect of fragmentation on the long-term subsistence of TRF tree populations....

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          • Within-Host Viral Diversity: A Window into Viral Evolution

            Adam S. LauringDivision of Infectious Diseases, Department of Internal Medicine, and Department of Microbiology and Immunology, University of Michigan, Ann Arbor, Michigan 48109, USA; email: [email protected]
            Annual Review of Virology Vol. 7: 63 - 81
            • ...it was quickly recognized that most RNA viruses exist as genetically diverse populations, both in vitro and in vivo (e.g., 2...
            • ...Clonal diversity is assessed by direct sequencing of amplicons from plaque purified virus or sequencing bacterial transformants that contain the amplified fragment cloned into a plasmid vector (4, 23, 24)....
            • ...Foundational experimental research in the poliovirus system further suggested that viral diversity is a determinant of virulence and that rare variants within the quasispecies are major drivers of pathogenesis in vivo (Figure 4) (4)....
            • ... and Vignuzzi et al. (4) discovered that a poliovirus harboring a single substitution in the polymerase, ...
            • ...Vignuzzi et al. (4) went on to show that the less diverse 3DG64S populations were attenuated in a mouse model of infection....
            • ...Much of the early research on viral quasispecies relied on Sanger sequencing of clones to quantify diversity in vitro and in vivo (4)....
            • ...Sanger sequencing of the capsid region of wild-type and 3DG64S populations identified mutation frequencies of 0.026% and 0.004%, respectively (4)....
          • Mechanisms and Concepts in RNA Virus Population Dynamics and Evolution

            Patrick T. Dolan,1,2 Zachary J. Whitfield,2 and Raul Andino21Department of Biology, Stanford University, Stanford, California 94305, USA2Department of Microbiology and Immunology, University of California, San Francisco, California 94143, USA; email: [email protected]
            Annual Review of Virology Vol. 5: 69 - 92
            • ...by altering the inherent RdRp mutation rate, readily emerge in response to ribavirin treatment (79, 81)...
            • ...where the relative frequency of individual genotypes shapes the fitness of other genotypes in the population (81, 127)....
            • ...suggesting that evolutionary capacity determines the extent of RNA virus spread and pathogenesis (48, 51, 81)....
          • Genomic Analysis of the Emergence, Evolution, and Spread of Human Respiratory RNA Viruses

            Tommy T.-Y. Lam,1,2,3 Huachen Zhu,1,2,3 Yi Guan,1,2,3,4 and Edward C. Holmes51State Key Laboratory of Emerging Infectious Diseases and Centre of Influenza Research, School of Public Health, The University of Hong Kong, Hong Kong, China; email: [email protected], [email protected], [email protected]2Joint Influenza Research Center and Joint Institute of Virology, Shantou University Medical College, Shantou 515041, China3State Key Laboratory of Emerging Infectious Diseases (HKU-Shenzhen Branch), Shenzhen Third People's Hospital, Shenzhen 518112, China4Department of Microbiology, Guangxi Medical University, Nanning 530021, China5Marie Bashir Institute for Infectious Diseases and Biosecurity, Charles Perkins Centre, School of Life and Environmental Sciences and Sydney Medical School, The University of Sydney, Sydney, New South Wales 2006, Australia; email: [email protected]
            Annual Review of Genomics and Human Genetics Vol. 17: 193 - 218
            • ...the maintenance of genetic diversity within a single infected host can contribute to the survival and fitness of a viral population (139)....
          • Thinking Outside the Triangle: Replication Fidelity of the Largest RNA Viruses

            Everett Clinton Smith,1,3 Nicole R. Sexton,2,3 and Mark R. Denison1,2,31Department of Pediatrics,2Department of Pathology, Microbiology, and Immunology, and3Elizabeth B. Lamb Center for Pediatric Research, Vanderbilt University Medical Center, Nashville, Tennessee 37232; email: [email protected]
            Annual Review of Virology Vol. 1: 111 - 132
            • ...whereas expanding diversity of the poliovirus population by passage in the presence of RNA mutagen reestablishes neurotropism (74)....
            • ...The first example of an RdRp with altered fidelity was the poliovirus RdRp G64S mutation (74, 86)....
            • ...fidelity variants with mutations in viral RdRps have been isolated for other picornaviruses and arboviruses (Figure 3 and Table 1) (67, 68, 74, 76, 80, 81, 86...
          • Viroids: Survivors from the RNA World?

            Ricardo Flores,1 Selma Gago-Zachert,2 Pedro Serra,1 Rafael Sanjuán,3 and Santiago F. Elena1,41Instituto de Biología Molecular y Celular de Plantas (UPV-CSIC), 46022 València, Spain; email: [email protected]2Abteilung Molekulare Signalverarbeitung, Leibniz Institut für Pflanzenbiochemie, 06120 Halle (Saale), Germany3Instituto Cavanilles de Biodiversidad y Biología Evolutiva, Universidad de València, 46980 València, Spain4The Santa Fe Institute, Santa Fe, New Mexico 87501
            Annual Review of Microbiology Vol. 68: 395 - 414
            • ...This theoretical scheme was first applied to bacteriophage Qβ (33) and then to many other RNA viruses (84, 100, 134)....
          • Pestiviruses

            Matthias Schweizer and Ernst PeterhansInstitute of Veterinary Virology, University of Bern, CH-3001 Bern, Switzerland; email: [email protected], [email protected]
            Annual Review of Animal Biosciences Vol. 2: 141 - 163
            • ...but this could be reversed by prior expansion of the quasispecies distribution (136, 137)....
          • The Evolutionary Genetics of Emerging Viruses

            Edward C. HolmesCenter for Infectious Disease Dynamics, Department of Biology, Mueller Laboratory, Pennsylvania State University, University Park, Pennsylvania 16802; email: [email protected] and Fogarty International Center, National Institutes of Health, Bethesda, Maryland 20892
            Annual Review of Ecology, Evolution, and Systematics Vol. 40: 353 - 372
            • ...experimental studies have revealed a selective advantage of more error-prone compared to higher-fidelity RNA polymerases (Mansky & Cunningham 2000, Vignuzzi et al. 2005)....
            • ...Perhaps the most telling observation of all in this context is that although RNA viruses are able to increase the fidelities of their polymerases a few fold (Vignuzzi et al. 2005), ...
            • ...Other experimental studies have suggested that quasispecies dynamics are central to disease pathogenesis (Vignuzzi et al. 2005)....
          • Virus Evolution: Insights from an Experimental Approach

            Santiago F. Elena and Rafael SanjuánInstituto de Biología Molecular y Celular de Plantas, Consejo Superior de Investigaciones Científicas-Universidad Politécnica de Valencia, 46022 València, Spain; email: [email protected]
            Annual Review of Ecology, Evolution, and Systematics Vol. 38: 27 - 52
            • ...researchers have often argued that elevated mutation rates are maintained in RNA viruses because of the rapid adaptive capacity they bestow (Domingo & Holland 1997, Holland et al. 1982, Pfeiffer & Kirkegaard 2005, Vignuzzi et al. 2006)....
            • ...A mutant genotype carrying a substitution at the polymerase gene that confers a threefold increase in replication fidelity was less pathogenic in mice than the wild type (Pfeiffer & Kirkegaard 2005, Vignuzzi et al. 2006)....

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          • Within-Host Viral Diversity: A Window into Viral Evolution

            Adam S. LauringDivision of Infectious Diseases, Department of Internal Medicine, and Department of Microbiology and Immunology, University of Michigan, Ann Arbor, Michigan 48109, USA; email: [email protected]
            Annual Review of Virology Vol. 7: 63 - 81
            • ...and when evaluated, a correlation between diversity and virulence is consistently observed (97–103)....
          • Thinking Outside the Triangle: Replication Fidelity of the Largest RNA Viruses

            Everett Clinton Smith,1,3 Nicole R. Sexton,2,3 and Mark R. Denison1,2,31Department of Pediatrics,2Department of Pathology, Microbiology, and Immunology, and3Elizabeth B. Lamb Center for Pediatric Research, Vanderbilt University Medical Center, Nashville, Tennessee 37232; email: [email protected]
            Annual Review of Virology Vol. 1: 111 - 132
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          • Predicting Evolution Using Regulatory Architecture

            Philippe Nghe,1, Marjon G.J. de Vos,2, Enzo Kingma,3, Manjunatha Kogenaru,4 Frank J. Poelwijk,5 Liedewij Laan,3 and Sander J. Tans3,61Laboratoire de Biochimie, UMR CBI 8231, ESPCI Paris, PSL Research University, 75005 Paris, France2University of Groningen, GELIFES, 9747 AG Groningen, The Netherlands3Bionanoscience Department, Delft University of Technology, 2629HZ Delft, The Netherlands4Department of Life Sciences, Imperial College London, London SW7 2AZ, United Kingdom5cBio Center, Department of Data Sciences, Dana-Farber Cancer Institute, Boston, Massachusetts 02215, USA6AMOLF, 1098 XG Amsterdam, The Netherlands; email: [email protected]
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            • ...reciprocal sign epistasis refers to cases in which two independent disadvantageous mutations are simultaneously required for an improved phenotype or fitness (56)....
          • Molecular Fitness Landscapes from High-Coverage Sequence Profiling

            Celia Blanco,1 Evan Janzen,1,2, Abe Pressman,1,3, Ranajay Saha,1 and Irene A. Chen21Department of Chemistry and Biochemistry, University of California, Santa Barbara, California 93106, USA; email: [email protected], [email protected], [email protected], [email protected], [email protected]2Biomolecular Science and Engineering Program, University of California, Santa Barbara, California 93106, USA3Department of Chemical Engineering, University of California, Santa Barbara, California 93106, USA
            Annual Review of Biophysics Vol. 48: 1 - 18
            • ...in which the presence of one mutation a changes if another mutation b is beneficial, and vice versa, creating multiple optima (78)....

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          Burch CL, Chao L. 2000. Evolvability of an RNA virus is determined by its mutational neighbourhood. Nature 406:625–28
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          • (Non)Parallel Evolution

            Daniel I. Bolnick,1,2 Rowan D.H. Barrett,3 Krista B. Oke,3,4 Diana J. Rennison,5 and Yoel E. Stuart11Department of Integrative Biology, University of Texas at Austin, Austin, Texas 78712, USA; email: [email protected]2Current affiliation: Department of Ecology and Evolution, University of Connecticut, Storrs, Connecticut 06268, USA; email: [email protected]3Redpath Museum, McGill University, Montreal, Quebec H3A 2K6, Canada; email: [email protected]4Department of Ecology and Evolutionary Biology, University of California, Santa Cruz, California 95060, USA; email: [email protected]5Institute of Ecology and Evolution, University of Bern, 3012 Bern, Switzerland; email: [email protected]
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            • ...Mutational hot spots within the genome (Burch & Chao 2000, Holland et al. 1982) harbor greater genetic variation and thus present more fodder for natural selection....
          • Constraints Evolve: Context Dependency of Gene Effects Allows Evolution of Pleiotropy

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            • ...Much insightful experimental evolutionary work on pleiotropy has been performed on various microorganisms and viruses (Barrick & Lenski 2013, Burch & Chao 2000, Turner & Chao 1999, Wiser et al. 2013)....
          • On the Biological Success of Viruses

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            • ...and the majority of studies used experimental evolution of microbes (13, 49)....
          • The Evolutionary Genetics of Emerging Viruses

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            • ...perhaps the first true demonstration of quasispecies dynamics in vitro (as opposed to those where the underlying mechanism was debatable) was the observation that a high fitness clone of the bacteriophage φ6 evolved to lower mean fitness because its mutational neighbors were of low fitness (Burch & Chao 2000)....
          • Virus Evolution: Insights from an Experimental Approach

            Santiago F. Elena and Rafael SanjuánInstituto de Biología Molecular y Celular de Plantas, Consejo Superior de Investigaciones Científicas-Universidad Politécnica de Valencia, 46022 València, Spain; email: [email protected]
            Annual Review of Ecology, Evolution, and Systematics Vol. 38: 27 - 52
            • ...Some clues first came from work with φ6 (Burch & Chao 2000) showing that the evolution of different genotypes depended on the topology of the neighboring adaptive landscape....
          • Evolution of Drug Resistance in Candida Albicans

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            • ...It is the mutational neighborhood (17) a small number of mutational steps away from the ancestral sequence that is key to predicting the resistance mutations that might arise in natural populations....
          • VARIABILITY AND GENETIC STRUCTURE OF PLANT VIRUS POPULATIONS

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            • ...High mutation rates have been postulated to be an adaptation to evolvability (25, 40), ...

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          Sanjuán R, Cuevas JM, Furio V, Holmes EC, Moya A. 2007. Selection for robustness in mutagenized RNA viruses. PLOS Genet. 3:e93
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          • Coronavirus Host Range Expansion and Middle East Respiratory Syndrome Coronavirus Emergence: Biochemical Mechanisms and Evolutionary Perspectives

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            Annual Review of Virology Vol. 2: 95 - 117
            • ...competition experiments in vesicular stomatitis virus have shown that a more mutationally robust virus lineage can have an advantage over a faster-replicating lineage when the mutation rate is increased via a mutagen (134)....
            • ...Mutational robustness among RNA viruses varies both among distantly related families (138) and among closely related strains (134)....
          • On the Nature and Evolutionary Impact of Phenotypic Robustness Mechanisms

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            • ...Greater mutational robustness was favored during competition experiments with vesicular stomatitis virus populations as well (Sanjuan et al. 2007)....
          • Viroids: Survivors from the RNA World?

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            • ...the survival of the flattest was also shown in Vesicular stomatitis virus populations subjected to increased mutational stress by chemical mutagenesis (115)....
          • On the Biological Success of Viruses

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          • Theoretical Aspects of Immunity

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            • ...It has been shown that VSV can evolve to decrease its natural mutation rate, thus counteracting this treatment strategy (81)....
          • The Evolutionary Genetics of Emerging Viruses

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            • ...Adapted from Sanjuán et al. (2007) with permission....
            • ...This result has been extended by more recent experimental analyses of VSV (Sanjuán et al. 2007)...
            • ...indicating that the former was more robust to mutation (Sanjuán et al. 2007)....
          • The Biology of Viroid-Host Interactions

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            Annual Review of Phytopathology Vol. 47: 105 - 131
            • ...More recent studies on the replication of two populations of the vesicular stomatitis RNA virus lent further experimental support to this hypothesis (116)....

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        • Figures
        • Tables
        image
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        image
        • Table 1  -Overview of cellular bottleneck size estimates
        • Table 2  -Overview of within-host bottleneck size estimates
        • Table 3  -Overview of between-host transmission bottlenecks
        • Figures
        • Tables
        image

        Figure 1  (a–c) A genetic bottleneck. The lower opening of the funnels (i.e., the infection bottleneck) limits the deposition of colored balls (i.e., virus variants) into bins (i.e., individual infected hosts). As the opening becomes narrower in panels b and c, fewer balls pass through and the variation of frequency of the blue and orange balls in the bins becomes larger. (d) The effects of a fixed bottleneck size on the frequency at which virus variants are found, assuming a 1:1 mixture of virus variants. As the bottleneck size increases, there are few single-variant infections (virus variant frequency is 0 or 1), and the variation in virus variant frequencies in mixed infections (all virus variant frequencies between 0 and 1) also decreases. (e–g) Dose-response models; the log of virus dose is the abscissa, and the frequency of infection is the ordinate. In panel e, the dose response for the independent action hypothesis is shown for four different probabilities of infection: 10−3 (violet), 10−4 (dark blue), 10−5 (blue), and 10−6 (light blue). The curve shifts to the right as the probability of infection decreases, but its shape is the same. In panel f, the dashed blue line indicates the effects of synergistic dose-dependent action: The dose response becomes very steep. The yellow line indicates the effects of variation in probability of infection on dose response: The dose response becomes very gradual. In panel g, the red line indicates a possible combined effect of synergistic dose-dependent action and variation in probability of infection. This combined response can be highly similar to the independent action hypothesis prediction, indicated by the dashed gray line.

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        ...The founder effect occurs when the number of individuals that pass through the bottleneck is small enough that the frequency of genotypes in the new population of founders can be appreciably altered compared with that in the main population (Figure 1)....

        ...which shifts its position only as the probability of infection is changed (Figure 1)....

        ...The resulting response can be practically indistinguishable from IAH predictions (Figure 1)....

        image

        Figure 2  The relationship between infection rate and bottleneck size for horizontal transmission, as reported in experimental studies. The abscissa is the observed rate of infection, and the ordinate is the estimated bottleneck size. Squares represent data points for plant viruses, circles represent data points for animal viruses, and the gray line is the prediction for bottleneck size in infected hosts and the rate of infection in all challenged hosts. For AcMNPV, we give only the data for third- and fifth-instar larvae of the host Spodoptera exigua, so as not to let one data set dominate the chart. Most bottleneck size estimates are close to the independent action hypothesis prediction. The most conspicuous exception is the intermediate dose of AcMNPV in S. exigua (marked with an arrowhead), for which case it was shown that variability in host susceptibility probably increases the rate of mixed-variant infection (33) and the founder estimate over independent action hypothesis predictions. Abbreviations: AcMNPV, Autographa californica multiple nucleopolyhedrovirus; PVY, potato virus Y; TEV, tobacco etch virus; TMV, tobacco mosaic virus; VEEV, Venezuelan equine encephalitis virus; WSMV, wheat streak mosaic virus.

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        ...What is striking when all the estimates for bottleneck sizes for horizontal transmission are considered together is the relationship with infection level (Figure 2)....

        image

        Figure 3  Illustration of the mechanisms by which narrow bottlenecks could be advantageous to virus populations. (a) Black bars represent full-length virions, red bars represent defective virions, and blue rectangles represent cells. On the left, the bottleneck into cells is wide [high multiplicity of infection (MOI)], and both viruses infect all cells. Consequently, both genotypes are amplified. On the right, the bottleneck into cells is narrow (low MOI), and individual cells are infected only by one genotype or another. Only the full-length virus can then replicate. Although this principle applies to defective interfering viruses, it might also apply more generally for viral gene products that act in trans. (b,c) A multipeaked fitness landscape. The virus population finds itself on the lower fitness peak, with the black dot illustrating the local optimum that serves as a starting point. In panel b, the bottleneck size is 4, and balls of the same color are genotypes represented in one bottlenecking event. In this case, although genotypes in a fortuitous position to cross the fitness valley are sometimes drawn, they are never drawn alone and are therefore likely to be outcompeted by variants closer to the optimum of the lower fitness peak. Consequently, the population is trapped on this low fitness peak. In panel c, the bottleneck size is 1, and if a fortuitous genotype is drawn, it can now proceed up the higher fitness peak without interference from other genotypes. Hence, the narrow bottleneck has helped one viral lineage to escape the low fitness peak.

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        ...we feel another perspective on virus population bottlenecks could be given more consideration: They can also have important advantages for viruses (Figure 3)....

        • Figures
        • Tables

        Table 1  Overview of cellular bottleneck size estimates

        Virus typeVirus speciesHostInfection levelBottleneck sizeaReference(s)
        Plant RNATobacco mosaic virus (TMV)Nicotiana benthamiana0.0291.08b48, 52, 55
           0.6331.22c 
         Soil-borne wheat mosaic virus (SBWMV) (RNA2)Chenopodium quinoa—5.02, 5.9745
         Tobacco etch virus (TEV)Nicotiana tabacum0.0011.001b54
           0.2521.431c 
         Citrus tristeza virus (CTV)Citrus macrophylla—1.06627
        Plant DNACauliflower mosaic virus (CaMV)Brassica rapa0.9672b49
           0.99413c 
        Animal RNAVenezuelan equine encephalitis virus (VEEV)Aedes taeniorhynchus—1.09415d
        Animal DNAAutographa californica multiple nucleopolyhedrovirus (AcMNPV)Trichoplusia ni—4.350, 51

        aEquivalent to the cellular multiplicity of infection (MOI).

        bA range of bottleneck values were reported in this study; this is the lowest value.

        cA range of bottleneck values were reported in this study; this is the highest value.

        dEstimate made here, using data reported in the referenced study and Model 2 (52).

        Table 2  Overview of within-host bottleneck size estimates

        Virus typeVirus speciesHostSource compartment → destination compartmentBottleneck sizeReference(s)
        Plant RNAWheat streak mosaic virus (WSMV)Triticum aestivumInoculated leaf → tillers410, 36
         Tobacco mosaic virus (TMV)Nicotiana tabacumInoculated leaf (leaf 0) → systemic leaf (leaf 1)0.8–9.811
           Inoculated leaf (leaf 0) → systemic leaf (leaf 2)0.9–15.9 
         Tobacco etch virus (TEV)Nicotiana tabacumInoculated leaf (leaf 3) → systemic leaf (leaf 5)5.8354
           Inoculated leaf (leaf 3) → systemic leaf (leaf 6)107.00 
           Inoculated leaf (leaf 3) → systemic leaf (leaf 7)10.24 
         Pea seed-borne mosaic virus (PSbMV)Pisum sativumSystemic leaves (leaves 1–3) → systemic leaf (leaf 5)74–13318
        Plant DNACauliflower mosaic virus (CaMV)Brassica rapaRosette (early) → systemic leaves (leaves 5–12)298–48541
           Inoculated leaves (level 2) → systemic leaf (level 5)9.658
           Inoculated leaves (level 2) → systemic leaf (level 16)190.2 
           Inoculated leaves (level 2) → systemic leaf (level 21)12.9 
        Animal RNAVenezuelan equine encephalitis virus (VEEV)Culex (Melanoconion) taeniopusMidgut → hemocoel1.0a17
            50.9b 

        aLow dose, resulting in midgut infection with a bottleneck size of 1.9.

        bHigh dose, resulting in midgut infection with a bottleneck size of 1,218.

        Table 3  Overview of between-host transmission bottlenecks

        TransmissionVirus typeVirus speciesHost (vector)Infection levelBottleneck sizeReference
        HorizontalPlant RNAWheat streak mosaic virus (WSMV)Triticum aestivum (Aceria tosichella)0.1851.3010a
          Potato virus Y (PVY)Capsicum annuum (Myzus persicae)0.290.53–3.2419
          Cucumber mosaic virus (CMV)Solanum lycopersicum (Aphis gossypii)—0.5–35.866
          Tobacco mosaic virus (TMV)Nicotiana tabacum0.963.1–5.611
          Tobacco etch virus (TEV)Nicotiana tabacum0.381.20b16
            147.86c 
           Capsicum annuum0.031b 
            0.965.39c 
         Animal RNAVenezuelan equine encephalitis virus (VEEV)Aedes taeniorhynchus0.50115
            1∼100 
           Culex (Melanoconion) taeniopus—1.917
            —1,218 
         Animal DNAAutographa californica multiple nucleopolyhedro-virus (AcMNPV)Spodoptera exigua third instar0.21.31b5a
            0.995.26c 
           Spodoptera exigua fifth instar0.281.55b33a
            0.926.30c 
           Trichoplusia ni third instar0.742.225a
           Trichoplusia ni fifth instar0.634.93 
           Mammestra brassicae third instar0.312.18 
           Mammestra brassicae fifth instar0.334.84 
        VerticalPlant RNAPea soil-borne mosaic virus (PSbMV)Pisum sativum—0.8418

        aEstimate made here, using data reported in the referenced study and Model 2 (52).

        bA range of bottleneck values were reported in or can be estimated from this study; this is the lowest value.

        cA range of bottleneck values were reported in or can be estimated from this study; this is the highest value.

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