Sexual reproduction prevails in a world of structured resources in short supply

We present a model for the maintenance of sexual reproduction based on the availability of resources, which is the strongest factor determining the growth of populations. The model compares completely asexual species to species that switch between asexual and sexual reproduction (sexual species). Key features of the model are that sexual reproduction sets in when resources become scarce, and that at a given place only a few genotypes can be present at the same time. We show that under a wide range of conditions the sexual species outcompete the asexual ones. The asexual species win only when survival conditions are harsh and death rates are high, or when resources are so little structured or consumer genotypes are so manifold that all resources are exploited to the same extent. These conditions largely represent the conditions in which sexuals predominate over asexuals in the field.     

Numerical analysis of a reinforcement learning model with the dynamic aspiration level in the iterated Prisoner's dilemma

The phenomenon of geographic parthenogenesis is closely tied to the question of why sexual reproduction is the dominant mode of reproduction in animals and plants. Geographic parthenogenesis describes the fact that many species reproduce asexually at the boundaries of their range. We present a mathematical model that derives the dominance of sexuals at the center and the dominance of asexuals at the boundary of a species' range from exactly the same mechanism. Our model is based on a set of resources that regrow slowly and that can be consumed only by those individuals that have a suitable genotype. Genotype is implemented by a multilocus model with two alleles at each locus, and with free recombination during production of sexual offspring. The model is tailored to seasonal species with intermittent mixis and low survival of offspring, such as Daphnia and aphids. Several patches of resources are arranged in a row, with a gradient of those parameters that typically vary through the range of species. By letting sexually and asexually reproducing populations compete, we obtain the typical patterns of geographic parthenogenesis.     

Range expansions of sexual versus asexual organisms: Effects of reproductive assurance and migration load

It is generally considered that sexual organisms show faster evolutionary adaptation than asexual organisms because sexuals can accumulate adaptive mutations through recombination. Yet, empirical evidence often shows that the geographic range size of sexual species is narrower than that of closely related asexual species, which may seem as if asexuals can adapt to more varied environments. Two potential explanations for this apparent contradiction considered by the existing theory are reproduction assurance and migration load. Here, we consider both reproductive assurance and migration load within a single model to comparatively examine their effects on range expansions of sexuals and asexuals across an environmental gradient. The model shows that higher dispersal propensity decreases sexuals' disadvantage in reproductive assurance while increasing their disadvantage in migration load. Moreover, lower mutation rate constrains adaptation more strongly in asexuals than in sexuals. Thus, high dispersal propensity and high mutation rates promote that asexuals have wider range sizes than sexuals. Intriguingly, our model reveals that sexuals can have wider geographic range sizes than asexuals under low dispersal propensity and low mutation rates, a pattern consistent with a few exceptional empirical cases. Combining reproductive assurance and migration load provides a useful perspective to better understand the relationships between species' mating systems and their geographic ranges.     

Diversification in sexual and asexual organisms

Abstract Sexual reproduction has long been proposed as a major factor explaining the existence of species and species diversity. Yet, the importance of sex for diversification remains obscure because of a lack of critical theory, difficulties of applying universal concepts of species and speciation, and above all the scarcity of empirical tests. Here, we use genealogical theory to compare the relative tendency of strictly sexual and asexual organisms to diversify into discrete genotypic and morphological clusters. We conclude that asexuals are expected to display discrete clusters similar to those found in sexual organisms. Whether sexuals or asexuals display stronger clustering depends on a number of factors, but in at least some scenarios asexuals should display a stronger pattern. Confounding factors aside, the only explanation we identify for stronger patterns of diversification in sexuals than asexuals is if the faster rates of adaptive change conferred by sexual reproduction promote greater clustering. Quantitative comparisons of diversification in related sexual and asexual taxa are needed to resolve this issue. The answer should shed light not only on the importance of the different stages leading to diversification, but also on the adaptive consequences of sex, still largely unexplored from a macroevolutionary perspective.     

Existence of two sexual races in the planarian species switching between asexual and sexual reproduction

In certain planarian species that are able to switch between asexual and sexual reproduction, determining whether a sexual has the ability to switch to the asexual state is problematic, which renders the definition of sexuals controversial. We experimentally show the existence of two sexual races, acquired and innate, in the planarian Dugesia ryukyuensis. Acquired sexuals used in this study were experimentally switched from asexuals. Inbreeding of acquired sexuals produced both innate sexuals and asexuals, but inbreeding of innate sexuals produced innate sexuals only and no asexuals. Acquired sexuals, but not innate sexuals, were forced to become asexuals by ablation and regeneration (asexual induction). This suggests that acquired sexuals somehow retain asexual potential, while innate sexuals do not. We also found that acquired sexuals have the potential to develop hyperplastic and supernumerary ovaries, while innate sexuals do not. In this regard, acquired sexuals were more prolific than innate sexuals. The differences between acquired and innate sexuals will provide a structure for examining the mechanism underlying asexual and sexual reproduction in planarians.     

The coevolution of parasites with host-acquired immunity and the evolution of sex

Abstract. Here I present a deterministic model of the coevolution of parasites with the acquired immunity of their hosts, a system in which coevolutionary oscillations can be maintained. These dynamics can confer an advantage to sexual reproduction within the parasite population, but the effect is not strong enough to outweigh the twofold cost of sex. The advantage arises primarily because sexual reproduction impedes the response to fluctuating epistasis and not because it facilitates the response to directional selection—in fact, sexual reproduction often slows the response to directional selection. Where the cost of sexual reproduction is small, a polymorphism can be maintained between the sexuals and the asexuals. A polymorphism is maintained in which the advantage gained due to recombination is balanced by the cost of sex. At much higher costs of sex, a polymorphism between the asexual and sexual populations can still be maintained if the asexuals do not have a full complement of genotypes available to them, because the asexuals only outcompete those sexuals with which they share the same selected alleles. However, over time we might expect the asexuals to amass the full array of genotypes, thus permanently eliminating sexuals from the population. The sexuals may avoid this fate if the parasite population is finite. Although the model presented here describes the coevolution of parasites with the acquired immune responses of their hosts, it can be compared with other host-parasite models that have more traditionally been used to investigate Red Queen theories of the evolution of sex.     

Migration load and the coexistence of ecologically similar sexuals and asexuals

The frozen niche variation hypothesis suggests that sexuals can coexist with closely related, ecologically similar asexuals because sexuals and narrowly adapted asexual clones use different resources. However, because a collection of clones can potentially dominate the entire resource axis, such coexistence is not stable. We show that if the sexual population inhabits multiple selection regimes and asexuals are intrinsically slightly less fit than sexuals, migration load in the sexual population allows sexuals and asexuals to coexist stably at the regional level. By decreasing sexuals' fitness, migration load allows asexuals to invade the sexual population. However, as the sexuals' range contracts, migration load decreases, preventing asexuals from driving sexuals to extinction. This "buffering" effect of migration load is even more relevant in models that include more realistic conditions, such as demographic asymmetries or explicit spatial structure.     

Genetic tests of ancient asexuality in Root Knot Nematodes reveal recent hybrid origins

Background  

The existence of "ancient asexuals", taxa that have persisted for long periods of evolutionary history without sexual recombination, is both controversial and important for our understanding of the evolution and maintenance of sexual reproduction. A lack of sex has consequences not only for the ecology of the asexual organism but also for its genome. Several genetic signatures are predicted from long-term asexual (apomictic) reproduction including (i) large "allelic" sequence divergence (ii) lack of phylogenetic clustering of "alleles" within morphological species and (iii) decay and loss of genes specific to meiosis and sexual reproduction. These genetic signatures can be hard to assess since it is difficult to demonstrate the allelic nature of very divergent sequences, divergence levels may be complicated by processes such as inter-specific hybridization, and genes may have secondary roles unrelated to sexual reproduction. Apomictic species of Meloidogyne root knot nematodes have been suggested previously to be ancient asexuals. Their relatives reproduce by meiotic parthenogenesis or facultative sexuality, which in combination with the abundance of nematode genomic sequence data, makes them a powerful system in which to study the consequences of reproductive mode on genomic divergence.     

Parasites and sexual reproduction in psychid moths

Persistence of sexual reproduction among coexisting asexual competitors has been a major paradox in evolutionary biology. The number of empirical studies is still very limited, as few systems with coexisting sexual and strictly asexual lineages have been found. We studied the ecological mechanisms behind the simultaneous coexistence of a sexually and an asexually reproducing closely related species of psychid moth in Central Finland between 1999 and 2001. The two species compete for the same resources and are often infected by the same hymenopteran parasitoids. They are extremely morphologically and behaviorally similar and can be separated only by their reproductive strategy (sexual vs. asexual) or by genetic markers. We compared the life-history traits of these species in two locations where they coexist to test predictions of the cost-of-sex hypothesis. We did not find any difference in female size, number of larvae, or offspring survival between the sexuals and asexuals, indicating that sexuals are subject to cost of sex. We also used genetic markers to check and exclude the possibility of Wolbachia bacteria infection inducing parthenogenesis. None of the samples was infected by Wolbachia and, thus, it is unlikely that these bacteria could affect our results. We sampled 38 locations to study the prevalence of parasitoids and the moths' reproductive strategy. We found a strong positive correlation between prevalence of sexual reproduction and prevalence of parasitoids. In locations where parasitoids are rare asexuals exist in high densities, whereas in locations with a high parasitoid load the sexual species was dominant. Spatial distribution alone does not explain the results. We suggest that the parasite hypothesis for sex may offer an explanation for the persistence of sexual moths in this system.     

VARIATION IN THE STRENGTH OF MALE MATE CHOICE ALLOWS LONG‐TERM COEXISTENCE OF SPERM‐DEPENDENT ASEXUALS AND THEIR SEXUAL HOSTS

In several asexual taxa, reproduction requires mating with related sexual species to stimulate egg development, even though genetic material is not incorporated from the sexuals (gynogenesis). In cases in which gynogens do not invest in male function, they can potentially have a twofold competitive advantage over sexuals because the asexuals avoid the cost of producing males. If unmitigated, however, the competitive success of the asexuals would ultimately lead to their own demise, following the extinction of the sexual species that stimulate egg development. We have studied a model of mate choice among sexual individuals and asexual gynogens, where males of the sexual species preferentially mate with sexual females over gynogenetic females, to determine if such mating preferences can stably maintain both gynogenetic and sexual individuals within a community. Our model shows that stable coexistence of gynogens and their sexual hosts can occur when there is variation among males in the degree of preference for mating with sexual females and when pickier males pay a higher cost of preference.     

General environmental heterogeneity as the explanation of sexuality? Comparative study shows that ancient asexual taxa are associated with both biotically and abiotically homogeneous environments

Ecological theories of sexual reproduction assume that sexuality is advantageous in certain conditions, for example, in biotically or abiotically more heterogeneous environments. Such theories thus could be tested by comparative studies. However, the published results of these studies are rather unconvincing. Here, we present the results of a new comparative study based exclusively on the ancient asexual clades. The association with biotically or abiotically homogeneous environments in these asexual clades was compared with the same association in their sister, or closely related, sexual clades. Using the conservative definition of ancient asexuals (i.e., age >1 million years), we found eight pairs of taxa of sexual and asexual species, six differing in the heterogeneity of their inhabited environment on the basis of available data. The difference between the environmental type associated with the sexual and asexual species was then compared in an exact binomial test. The results showed that the majority of ancient asexual clades tend to be associated with biotically, abiotically, or both biotically and abiotically more homogeneous environments than their sexual controls. In the exploratory part of the study, we found that the ancient asexuals often have durable resting stages, enabling life in subjectively homogeneous environments, live in the absence of intense biotic interactions, and are very often sedentary, inhabiting benthos, and soil. The consequences of these findings for the ecological theories of sexual reproduction are discussed.     

Evolutionarily stable allocation to vegetative and sexual reproduction in plants

I apply the resource allocation approach to construct an ESS model aimed at predicting the rate of vegetative and sexual reproduction in plants. The model provides an integrated explanation of why the mode of reproduction should vary between populations and species, and what factors should affect the trade-off between ramet and seed production. It follows that seed production, usually considered to be less effective and more costly than ramet production, may be maintained in the population. The production of ramets should be favored when their recruitment rate is high or the costs are low. The intensity of vegetative reproduction is also related to conditions which affect seed production directly. The rate of ramet production should be inversely correlated with factors favoring sexual reproduction, such as lower cost of seeds or high opportunity for colonization of new patches, etc. Under such conditions it is beneficial to allocate more resources available for reproduction into seeds, at the expense of ramet production. The model emphasizes the need to consider both modes of plant reproduction whenever one of them is theoretically or empirically studied.     

Mobile genetic elements and sexual reproduction

Transposable elements (TE) are prominent components of most eukaryotic genomes. In addition to their possible participation in the origin of sexual reproduction in eukaryotes, they may be also involved in its maintenance as important contributors to the deleterious mutation load. Comparative analyses of transposon content in the genomes of sexually reproducing and anciently asexual species may help to understand the contribution of different TE classes to the deleterious load. The apparent absence of deleterious retrotransposons from the genomes of ancient asexuals is in agreement with the hypothesis that they may play a special role in the maintenance of sexual reproduction and in early extinction for which most species are destined upon the abandonment of sex.     

Using individual-based modeling to investigate whether fluctuating resources help to explain the prevalence of sexual reproduction in animal species

The prevalence of sexual reproduction of animal species is a paradox for evolutionary theory since it remains unclear whether the evolutionary benefits of sexual reproduction outweigh the costs. One attempt at explaining the maintenance of sex is the Tangled Bank hypothesis: Sexual reproduction shuffles around alleles through crossing over and recombination, resulting in a wide range of individuals, some of whom will be able to survive in the harshest of environments with low and dwindling food resources. Whereas, with respect to clonally reproduced individuals there is arguably less genetic variation so that if food resources start to fluctuate, these individuals may not be able to survive under the new conditions. In our study, we conducted individual based modeling computer simulations using the program EcoSim to investigate two hypotheses related to fluctuating resources: First, in the context of fluctuating resources, populations of sexual species will outpace the populations of asexual species who are unable to adapt to changing conditions. The second hypothesis that we investigated is that with respect to facultative species there will be an increase in sexual reproduction and a decrease in asexual reproduction as a response to fluctuating resources. The control runs involved relatively stable food resources for obligate sexual, obligate asexual and facultatively reproducing prey species, whereas the experimental runs involved unstable fluctuating resources. Although we found that population levels were higher for obligate sexual prey vs. obligate asexual prey, this was not due to the manipulation of the independent variable, food resources, since these results were consistent across experimental, and control runs. However, in terms of the runs for facultative species, we found that in experimental runs, there was a discernably lower level of asexual reproduction and a slight increase in sexual reproduction in the later stages of the runs, which is likely a response to fluctuating resources. These results tend to confirm the hypothesis that in terms of facultative species, there will be a decrease in asexual reproduction and an increase in sexual reproduction in response to fluctuating resources. Moreover, we found that these features may be evolutionary in nature rather than simply a matter of phenotypic plasticity, which to the best of our knowledge is not a result in any other simulation or empirical study on Tangled Bank with respect to facultative species. Our study therefore contributes to the ongoing debate of whether the switch to sex in facultative species is the result of phenotypic plasticity or evolutionary in character.     

Equal fecundity in asexual and sexual mollies (<Emphasis Type="Italic">Poecilia</Emphasis>)

The evolution and maintenance of sexual reproduction is still one of the major unresolved problems in evolutionary biology. Sexual reproduction is fraught with a number of costs as compared to asexual reproduction. For example, sexuals have to produce males, which–given a 1:1 sex ratio—results in a two-fold advantage for asexuals that do not produce males. Consequently, asexuals will outperform and replace sexuals over time assuming everything else is equal. Nonetheless, a few cases of closely related asexuals and sexuals have been documented to coexist stably in natural systems. We investigated the presence of a two-fold cost in a unique system of three closely related fish species: the asexual Amazon Molly (Poecilia formosa), and two sexual species, Sailfin Molly (P. latipinna) and Atlantic Molly (P. mexicana). Amazon Molly reproduce gynogenetically (by sperm dependent parthenogenesis) and always coexist with one of the sexual species, which serves as sperm donor. In the laboratory, we compared reproductive output between P. formosa and P. mexicana as well as P. formosa and P. latipinna. We found no differences in the fecundity in either comparison of a sexual and the asexual species. Under the assumption of a 1:1 sex ratio, the asexual Amazon Molly should consequently have a full two-fold advantage and be able to outcompete sexuals over time. Hence, the coexistence of the species pairs in nature presents a paradox still to be solved.     

Deleterious mutation accumulation in asexual Timema stick insects

Sexual reproduction is extremely widespread in spite of its presumed costs relative to asexual reproduction, indicating that it must provide significant advantages. One postulated benefit of sex and recombination is that they facilitate the purging of mildly deleterious mutations, which would accumulate in asexual lineages and contribute to their short evolutionary life span. To test this prediction, we estimated the accumulation rate of coding (nonsynonymous) mutations, which are expected to be deleterious, in parts of one mitochondrial (COI) and two nuclear (Actin and Hsp70) genes in six independently derived asexual lineages and related sexual species of Timema stick insects. We found signatures of increased coding mutation accumulation in all six asexual Timema and for each of the three analyzed genes, with 3.6- to 13.4-fold higher rates in the asexuals as compared with the sexuals. In addition, because coding mutations in the asexuals often resulted in considerable hydrophobicity changes at the concerned amino acid positions, coding mutations in the asexuals are likely associated with more strongly deleterious effects than in the sexuals. Our results demonstrate that deleterious mutation accumulation can differentially affect sexual and asexual lineages and support the idea that deleterious mutation accumulation plays an important role in limiting the long-term persistence of all-female lineages.     

Why do species exist? Insights from sexuals and asexuals

Why does life diversify into the more or less discrete entities we recognise as species? Two main explanations have been proposed: i) species are a consequence of adaptation to different ecological niches, ii) species are a consequence of sexual reproduction and reproductive isolation. Phylogenetic studies of case-study groups can provide insights into the relative importance of divergent selection and isolation for speciation, but it can be difficult to infer causes of speciation unambiguously. The example of North American tiger beetles from the genus Cicindela is discussed. An alternative approach is to compare diversification between related sexual and asexual taxa to infer the relative importance of the two explanations. We outline expected patterns of diversification in sexual and asexual lineages under different scenarios using coalescent theory. Whether sexuals or asexuals diversify to a greater extent depends on the balance among various stages of diversification, particularly on the effects of sexual reproduction on rates of adaptive evolution. Rotifers offer a unique system to test these ideas, allowing comparison of patterns of genetic and functional morphological diversification in sexual (bdelloid) and asexual (monogonont) clades.     

THE MAINTENANCE OF SEX BY GROUP SELECTION

The traditional group-selection model for the maintenance of sex is based upon the assumption that the long-term evolutionary benefits of sexual reproduction result in asexual lineages having a higher extinction rate than sexual species. This model is reexamined, as is a related model that incorporates the possibility that sexual and asexual lines differ in their speciation rates. In these models, the long-term advantage of sex is opposed by a strong short-term disadvantage arising from the twofold reproductive cost of producing males. It is shown that once some sexual lines become established, then group selection can act to maintain sex despite its short-term disadvantage. The short-term disadvantage is included in the model by assuming that, if asexual individuals arise by mutation within a previously completely sexual species, then the asexuals quickly displace their sexual conspecifics and the species is transformed to asexuality. The probability of this event is given by the transition rate, u_s. If the value of u_s varies between lineages, then one of the effects of group selection is to favor groups (i.e., species) with the lowest values of u_s. This occurs because lines that do convert to asexuality (because of a high u_s) are doomed to a high rate of extinction, and in the long term only those that do not convert to asexuality (because of a low u_s) survive. The net result of group selection is that sex is maintained because of its lower extinction rate (or higher speciation rate) and because asexual mutants only rarely arise.     

Models of sexual and asexual coexistence in aphids based on constraints

Two models are presented to test the hypothesis that in aphids, a particular constraint (the necessity to resist frost) could be the proximal cause for the maintenance of sex. Both models are based on temporal variability in winter survival of asexuals. They show that:

• i) only cyclical parthenogenesis is maintained below a threshold frequency of mild winters, because of the cold-resistance of sexually-produced eggs.
• ii) above a second threshold, only obligate parthenogenesis is maintained.
• iii) in-between, the first model predicts a mixed evolutionarily stable strategy (ESS). This would reflect well the geographic distribution of the different types of reproduction. The second model, based on the genetic control of the reproduction system in two aphid species, predicts the maintenance of polymorphism with fluctuating proportions of the two life-cycles. Males produced by obligate parthenogens play an essential role in this equilibrium (no stable polymorphism exists if this male production is set to zero). The value of the lowest possible fitness achieved by overwintering asexuals is critical.