The effect of neighborhood size on effective population size in theory and in practice

The distinction between the effective size of a population (Ne) and the effective size of its neighborhoods (Nn) has sometimes become blurred. Ne reflects the effect of random sampling on the genetic composition of a population of size N, whereas Nn is a measure of within-population spatial genetic structure and depends strongly on the dispersal characteristics of a species. Although Nn is independent of Ne, the reverse is not true. Using simulations of a population of annual plants, it was found that the effect of Nn on Ne was well approximated by Ne=N/(1-FIS), where FIS (determined by Nn) was evaluated population wide. Nn only had a notable influence of increasing Ne as it became smaller (⩽16). In contrast, the effect of Nn on genetic estimates of Ne was substantial. Using the temporal method (a standard two-sample approach) based on 1000 single-nucleotide polymorphisms (SNPs), and varying sampling method, sample size (2-25% of N) and interval between samples (T=1-32 generations), estimates of Ne ranged from infinity to <0.1% of the true value (defined as Ne based on 100% sampling). Estimates were never accurate unless Nn and T were large. Three sampling techniques were tested: same-site resampling, different-site resampling and random sampling. Random sampling was the least biased method. Extremely low estimates often resulted when different-site resampling was used, especially when the population was large and the sample fraction was small, raising the possibility that this estimation bias could be a factor determining some very low Ne/N that have been published.

Peto's paradox and the hallmarks of cancer: constructing an evolutionary framework for understanding the incidence of cancer

An evolutionary perspective can help unify disparate observations and make testable predictions. We consider an evolutionary model in relation to two mechanistic frameworks of cancer biology: multistage carcinogenesis and the hallmarks of cancer. The multistage model predicts that cancer risk increases with body size and longevity; however, this is not observed across species (Peto's paradox), but the paradox is resolved by invoking the evolution of additional genetic mechanisms to suppress cancer in large, long-lived species. It is when cancer cells overcome these defence mechanisms that they exhibit the hallmarks of cancer, driving the ongoing evolution of these defences, which in turn is expected to create the differences observed in the genetics of cancer across species and tissues. To illustrate the utility of an evolutionary model we examined some recently published data linking stem-cell divisions and cancer incidence across a range of tissues and show why the original analysis was faulty, and demonstrate that the data are consistent with a multistage model varying from three to seven mutational hits across different tissues. Finally, we demonstrate how an evolutionary model can both define patterns of inherited (familial) cancer and explain the prevalence of cancer in post-reproductive years, including the dominance of epithelial cancers.

Reduction in the cumulative effect of stress-induced inbreeding depression due to intragenerational purging in Drosophila melanogaster

Environmental stress generally exacerbates the harmful effects of inbreeding and it has been proposed that this could be exploited in purging deleterious alleles from threatened inbred populations. However, understanding what factors contribute to variability in the strength of inbreeding depression (ID) observed across adverse environmental conditions remains a challenge. Here, we examined how the nature and timing of stress affects ID and the potential for purging using inbred and outbred Drosophila melanogaster larvae exposed to biotic (larval competition, bacteria infection) and abiotic (ethanol, heat) stressors compared with unstressed controls. ID was measured during (larval survival) and after (male mating success) stress exposure. The level of stress imposed by each stressor was approximately equal, averaging a 42% reduction in outbred larval survival relative to controls. All stressors induced on average the same ID, causing a threefold increase in lethal equivalents for larval survival relative to controls. However, stress-induced ID in larval success was followed by a 30% reduction in ID in mating success of surviving males. We propose that this fitness recovery is due to 'intragenerational purging' whereby fitness correlations facilitate stress-induced purging that increases the average fitness of survivors in later life history stages. For biotic stressors, post-stress reductions in ID are consistent with intragenerational purging, whereas for abiotic stressors, there appeared to be an interaction between purging and stress-induced physiological damage. For all stressors, there was no net effect of stress on lifetime ID compared with unstressed controls, undermining the prediction that stress enhances the effectiveness of population-level purging across generations.

The Importance of Multilocus Sequence Typing: Cautionary Tales from the Bacterium Xylella fastidiosa

Microbial identification methods have evolved rapidly over the last few decades. One such method is multilocus sequence typing (MLST). MLST is a powerful tool for understanding the evolutionary dynamics of pathogens and to gain insight into their genetic diversity. We illustrate the importance of accurate typing by reporting on three problems that have arisen in the study of a single bacterial species, the plant pathogen Xylella fastidiosa. Two of these were particularly serious since they concerned contamination of important research material that has had detrimental consequences for Xylella research: the contamination of DNA used in the sequencing of an X. fastidiosa genome (Ann-1) with DNA from another X. fastidiosa strain, and the unrecognized mislabeling of a strain (Temecula1) distributed from a culture collection (ATCC). We advocate the routine use of MLST to define strains maintained in culture collections and emphasize the importance of confirming the purity of DNA submitted for sequencing. We also present a third example that illustrates the value of MLST in guiding the choice of taxonomic types. Beyond these situations, there is a strong case for MLST whenever an isolate is used experimentally, especially where genotypic differences are suspected to influence the outcome.

The importance of multilocus sequence typing: cautionary tales from the bacterium Xylella fastidiosa

Microbial identification methods have evolved rapidly over the last few decades. One such method is multilocus sequence typing (MLST). MLST is a powerful tool for understanding the evolutionary dynamics of pathogens and to gain insight into their genetic diversity. We illustrate the importance of accurate typing by reporting on three problems that have arisen in the study of a single bacterial species, the plant pathogen Xylella fastidiosa. Two of these were particularly serious since they concerned contamination of important research material that has had detrimental consequences for Xylella research: the contamination of DNA used in the sequencing of an X. fastidiosa genome (Ann-1) with DNA from another X. fastidiosa strain, and the unrecognized mislabeling of a strain (Temecula1) distributed from a culture collection (ATCC). We advocate the routine use of MLST to define strains maintained in culture collections and emphasize the importance of confirming the purity of DNA submitted for sequencing. We also present a third example that illustrates the value of MLST in guiding the choice of taxonomic types. Beyond these situations, there is a strong case for MLST whenever an isolate is used experimentally, especially where genotypic differences are suspected to influence the outcome.

Sex-specific effects of inbreeding in wild-caught Drosophila melanogaster under benign and stressful conditions

In animal populations, sib mating is often the primary source of inbreeding depression (ID). We used recently wild-caught Drosophila melanogaster to test whether such ID is amplified by environmental stress and, in males, by sexual selection. We also investigated whether increased ID because of stress (increased larval competition) persisted beyond the stressed stage and whether the effects of stress and sexual selection interacted. Sib mating resulted in substantial cumulative fitness losses (egg to adult reproduction) of 50% (benign) and 73% (stressed). Stress increased ID during the larval period (23% vs. 63%), but not during post-stress reproductive stages (36% vs. 31%), indicating larval stress may have purged some adult genetic load (although ID was uncorrelated across stages). Sexual selection exacerbated inbreeding depression, with inbred male offspring suffering a higher reproductive cost than females, independent of stress (57% vs. 14% benign, 49% vs. 11% stress).

Insight into post-mating interactions between the sexes: relatedness suppresses productivity of singly mated female Drosophila melanogaster

Post-mating, prefertilization inbreeding avoidance (PPIA) is well established in plants but not in animals. Support for animal PPIA comes from sperm competition studies showing success of a male's gametes declining with his relatedness to the multiply mated female; however, such studies confound female-male and male-male interaction. To avoid this problem, we investigated offspring productivity of singly mated Drosophila melanogaster females using flies from four different genetic backgrounds. Our experiments established that intrapopulation crosses using highly related parents (within-strain) were significantly less productive than intrapopulation crosses using unrelated individuals from the same population (between-strain). Furthermore, we showed that these effects were not due to inbreeding depression. The average decrease in offspring productivity of within-strain crosses relative to between-strain crosses was 18.3% [nonlaboratory populations: Zimbabwe 20.3%, Riverside 11.4%, neither of which showed inbreeding depression; and temperature-adapted laboratory populations, uncorrected (corrected) for nonsignificant inbreeding depression: 18 degrees C, 26.5% (24.2%) and 29 degrees C, 20.1% (9.5%)]. The significant reduction of within-cross productivity demonstrates PPIA in the absence of multiple mating.

Pupal period and adult size in Drosophila melanogaster: a cautionary tale of contrasting correlations between two sexually dimorphic traits

Sexual dimorphism (SD) is widespread, reflecting a resolution of genetic conflicts arising from sex-specific differences in selection. However, genetic correlations among traits may constrain the evolution of SD. Drosophila melanogaster exhibits SD for pupal period (males longer) and adult weight (females heavier). This negative inter-sex covariance between the traits contrasts with a significant intra-sex positive genetic correlation (r(g) = 0.95) estimated using lines selected for fast larval development. Path analysis indicated that within sexes the selection regime indirectly reduced adult weight which in turn reduced pupal period. A hypothesis is proposed for the evolution of SD whereby the trait 'pupal period' is divided into 'intrinsic' (correlated with body size) and 'ecological' (uncorrelated with body size) components, and (the larger) females eclose earlier than males size via a shortening of the ecological component, thus achieving the advantage of provisioning eggs prior to sexual maturity. This hypothesis avoids invoking successful 'incompatible antagonistic selection'.

Increased sexual activity reduces male immune function in Drosophila melanogaster

Despite the benefits of resistance, susceptibility to infectious disease is commonplace. Although specific susceptibility may be considered an inevitable consequence of the co-evolutionary arms race between parasite and host, a more general constraint may arise from the cost of an immune response. This "cost" hypothesis predicts a tradeoff between immune defense and other components of fitness. In particular, a tradeoff between immunity and sexually selected male behavior has been proposed. Here we provide experimental support for the direct phenotypic tradeoff between sexual activity and immunity by studying the antibacterial immune response in Drosophila melanogaster. Males exposed to more females showed a reduced ability to clear a bacterial infection, an effect that we experimentally link to changes in sexual activity. Our results suggest immunosuppression is an important cost of reproduction and that immune function and levels of disease susceptibility will be influenced by sexual selection.

Geographic patterns of genetic differentiation within the restricted range of the endangered Stephens' kangaroo rat Dipodomys stephensi

Using mtDNA variation in the kangaroo rat Dipodomys stephensi, we found no support for the hypothesis that a species with an historically restricted range will exhibit low levels of genetic polymorphism and little genetic structure. Dipodomys stephensi has long been restricted to a few interior coastal valleys in southern California encompassing an area of approximately 70 x 40 km; however, we found high levels of genetic variation over much of its range and significant genetic structure both within and between regions. We also found evidence for a recent range expansion. Dipodomys stephensi is a federally endangered species that is separated from D. panamintinus, its presumed sister taxon, by a mountain range to the north. We assessed genetic variation by sequencing 645 bases of the mitochondrial d-loop from 61 individuals sampled from 16 locations across the species range and rooted their relationship using two D. panamintinus individuals. Despite its limited geographic range, the level of mtDNA variation in D. stephensi is comparable to that of other rodents, including that of the more widely distributed D. panamintinus. This variation revealed significant regional differentiation. The northern, central, and southern regions of the range differ in both the level and the distribution of genetic variation. Phylogenetic analysis revealed that the center of the range contains the most diversity of lineages, including the most basal. In this region and in the north, most haplotypes were found at only a single location (25/29), or at a pair of nearby locations (3/29). In addition, related haplotypes clustered geographically. These results are consistent with long-term demographic stability characterized by limited dispersal and high local effective population size. Further support for this conclusion is the finding of unique diversity in two northern peripheral populations, Norco and Potrero Creek (PC). However, in sharp contrast, one haplotype (CC) was found at five of 11 central and northern locations and comprised 18% of individuals sampled. The atypical distribution of the CC haplotype reflected a pattern seen more strongly in the southern region. Here the CC haplotype comprised 69% of the sample and was found at all five sampling locations. Consequently, the southern region had very low genetic variability. We propose that this dominance of CC was probably due to a local population bottleneck that occurred during a recent range expansion into the southern region.

Selfish element maintains sex in natural populations of a parasitoid wasp

Genomic conflicts between heritable elements with different modes of inheritance are important in the maintenance of sex and in the evolution of sex ratio. Generally, we expect sexual populations to exhibit a 1:1 sex ratio. However, because of their biology, parasitoid wasps often exhibit a female-biased sex ratio. Sex-ratio distorters can further alter this optimum, sometimes leading to the complete loss of sexual reproduction. In the parasitoid wasp Trichogramma kaykai ca. 4-26% of females in field populations are infected with a bacterial sex-ratio distorter, Wolbachia, allowing virgin mothers to produce daughters. In some micro-Hymenoptera these infections have led to the complete loss of sex, but in field populations of T. kaykai the proportion of individuals infected remains relatively stable. We tested several hypotheses to explain this low infection level, including inefficient and horizontal transmission of Wolbachia, suppressor genes negating the effect of Wolbachia and the presence of male-biasing sex-ratio distorters. Here, a male-biasing sex-ratio distorter, a parasitic B chromosome, causing females to produce only sons, keeps the frequency of Wolbachia low. The male-biasing factor of T. kaykai is the second known case of a B chromosome manipulating the reproduction of a parasitoid wasp.

Lineage selection and the evolution of multistage carcinogenesis

A wide array of proto-oncogenes and tumour suppressor genes are involved in the prevention of cancer. Each form of cancer requires mutations in a characteristic group of genes, but no single group controls all cancers. This lack of generality shows that the control of cancer is not an ancient, fixed property of cells. By contrast, it supports a dynamic evolutionary model, whereby genetic controls over unregulated cell growth are recruited independently through evolutionary time in different tissues within different taxa. The complexity of this genetic control can be predicted from a population genetic model of lineage selection driven by the detrimental fitness effects of cancer. Cancer occurs because the genetic control of cell growth is vulnerable to somatic mutations (or 'hits'), particularly in large, continuously dividing tissues. Thus, compared to small rodents, humans must have evolved more complex genetic controls over cell growth in at least some of their tissues because of their greater size and longevity; an expectation relevant to the application of mouse data to humans. Similarly, the 'two-hit' model so successfully applied to retinoblastoma, which originates in a small embryonic tissue, is unlikely to be generally applicable to other human cancers; instead, more complex scenarios are expected to dominate, with complexity depending upon a tissue's size and its pattern of proliferation.

The influence of age structure and fecundity on effective population size

Simple formulae are developed which define the effective size (Ne) of populations with overlapping generations, and their use is illustrated using data from a squirrel population. Two mating systems are considered, the random union of gametes and monogamy, in combination with age-independent fecundity. In the simplest case of age-independent (type 2) survivorship in a population of N adults, Ne = N/(2-T-1) where T is the generation time. As T increases, Ne declines asymptomatically to N/2. A generalization of this result (Ne = N/[1 + k-1-T-1], where k influences survivorship) shows that given type 1 survivorship (k greater than 1) this decline in Ne is less severe. A biased sex ratio results in Ne differing between the two mating systems; however, in both systems, a sex ratio bias resulting from survival differences has much less influence on Ne than a sex ratio bias resulting from recruitment differences. Low fecundity can increase Ne, but realistic levels of variation among breeding individuals (Poisson or greater) negate the effect. The effect on Ne of variation resulting from the presence of non-breeders is also considered.

Factors influencing the optimum sex ratio in a structured population

W. D. Hamilton (1967, Science 156, 477-488) calculated the optimum sex-ratio strategy for a population subdivided into local mating groups. He made three important assumptions: that the females founding each group responded precisely to the number of them initiating the group; that ail broods within a group matured synchronously; and that males were incapable of dispersing between groups. We have examined the effects of relaxing each of these assumptions and obtained the following results: (1) When broods mature asynchronously the optimum sex ratio is considerably more female biased than the Hamiltonian prediction. (2) Increasing male dispersal always decreases the optimum female bias to the sex ratio, but it is of particular interest that when moderate levels of dispersal are coupled with asynchrony of brood maturation then the optimum strategy is relatively insensitive to changes in foundress number. (3) When females cannot precisely determine the number of other foundresses initiating the group then the optimum strategy is almost exactly the strategy appropriate to a group of average size. These effects can be most easily understood in terms of local parental control (LPC) of the sex ratio. Through LPC a founding female can alter the mating success of her sons by altering the sex ratio of her brood. Asynchrony in the maturation of broods within a group increases the control that a founding female has over the mating success of her sons, whereas male dispersal reduces it. We have shown that the role of LPC and the role of inbreeding, which favors a female-biased sex ratio in haploidiploid species, are independent and that their effects can be combined into a single general formula r = (1-(r2/z2) E(alpha z/alpha r]/(1 + I). The concept of LPC can also be used to interpret two factors which have been proposed to select for the Hamiltonian sex ratios: local mate competition is LPC acting through sons; and sib mating is LPC acting through daughters.

The effect of long time delays in predator-prey systems

Past studies have indicated that a time delay longer than the natural period of a system will generally cause instability; however here it is shown that including long maturational time delays in a general predator-prey model need not have this effect. In each of the three cases studied (a predator delay, a prey delay, and both), local stability can persevere despite the presence of arbitrarily long time delays. This perseverence depends upon an interaction between delayed and undelayed features of the model. Delayed processes always act to destabilize the model. For example, prey self-regulation, usually a source of stability, becomes destabilizing if subject to a long delay. However, the effect of such a delay is offset by undelayed regulatory processes, such as a stabilizing functional response. In addition, the adverse effects of delayed predator recruitment can be reduced by the nonreproductive component of the numerical response, a feature not usually involved in determining stability. Finally, it is shown that long time delays are not necessarily more disruptive than short delays; it cannot be assumed that lengthening a time delay progressively reduces stability.