Constraints on adaptation: explaining deviation from optimal sex ratio using artificial neural networks

Determining processes constraining adaptation is a major challenge facing evolutionary biology, and sex allocation has proved a useful model system for exploring different constraints. We investigate the evolution of suboptimal sex allocation in a solitary parasitoid wasp system by modelling information acquisition and processing using artificial neural networks (ANNs) evolving according to a genetic algorithm. Theory predicts an instantaneous switch from the production of male to female offspring with increasing host size, whereas data show gradual changes. We found that simple ANNs evolved towards producing sharp switches in sex ratio, but additional biologically reasonable assumptions of costs of synapse maintenance, and simplification of the ANNs, led to more gradual adjustment. Switch sharpness was robust to uncertainty in fitness consequences of host size, challenging interpretations of previous empirical findings. Our results also question some intuitive hypotheses concerning the evolution of threshold traits and confirm how neural processing may constrain adaptive behaviour.     

Quantitative Genetics of Sex Ratio Traits in the Parasitic Wasp, Nasonia Vitripennis

We detected significant parent-offspring regressions for the first sex ratio (the sex ratio produced by a female in a fresh host) and the second sex ratio (the sex ratio produced by a female in a previously parasitized host) in the parasitic wasp, Nasonia vitripennis. For both traits, estimates of the narrow-sense heritability range from &0.05 to &0.15 (depending on how the data are analyzed). The study population was derived from isofemale strains created from wasps captured in a single bird nest. The same population exhibited no significant parent-offspring regression for the brood sizes associated with the first and second sex ratios. There may be a significant negative parent-offspring regression for diapause proportion in the first sex ratio broods. The estimates of the genetic correlations between first and second sex ratios are positive although almost all are not significantly different from 0.0. To our knowledge, this study is the first ``fine-scale' analysis of genetic variation for sex ratio traits in any species of insect. Such studies are an essential part of the assessment of the validity of claims that sex ratio traits are locally optimal.     

Sex ratio, life-history invariants, and patterns of sex change in a family of protandrous gastropods

Application of optimality theory to the evolution of life histories has been broadly successful in predicting the conditions favoring sex change, the type of change, and the timing of such changes. The size advantage hypothesis predicts that the optimal size at which an individual should change sex is a function of its size and the size and sex of its potential mates. I collected data on the size, sex, and grouping of individuals of 27 populations of 19 species of the calyptraeids, a family of protandrous marine gastropods that includes Crepidula. These data are used to test the following predictions about variation in size at sex change: (1) sex ratio is biased toward the first sex; (2) the ratio of the size at sex change to the maximum size is a life-history invariant; and (3) species that form variable-sized groups or stacks have more variation in size at sex change than species that show less variation in stack formation. Across all 19 species, sex ratio was not significantly more often biased toward the first sex than it was toward the second sex, although sex ratios were significantly male biased more often than they were significantly female biased. Sex ratios ranged from 0.05 to 0.91, and this variation was related to mode of development, skew in size distribution, and frequency of stacking, but not with maximum body size. There was little evidence that the ratio of size at sex change and maximum size is invariant. There is evidence that one of the main underlying assumptions of this life-history invariant, that male fertility increases with the same function of size in all species, is invalid for calyptraeids and probably for other animals. Finally, species that form larger stacks or mating groups had more variation in size at sex change within a population than species that were generally solitary. These results suggest that information about individual groupings should be included in predictions of life-history theory and that more information about the relationship between male fitness and size is also needed.     

Consistent sex ratio bias of individual female dragon lizards

Sex ratio evolution relies on genetic variation in either the phenotypic traits that influence sex ratios or sex-determining mechanisms. However, consistent variation among females in offspring sex ratio is rarely investigated. Here, we show that female painted dragons (Ctenophorus pictus) have highly repeatable sex ratios among clutches within years. A consistent effect of female identity could represent stable phenotypic differences among females or genetic variation in sex-determining mechanisms. Sex ratios were not correlated with female size, body condition or coloration. Furthermore, sex ratios were not influenced by incubation temperature. However, the variation among females resulted in female-biased mean population sex ratios at hatching both within and among years.     

Genetic variability and transgenerational regulation of investment in sex in the monogonont rotifer Brachionus plicatilis

In cyclical parthenogens such as aphids, cladocerans and rotifers, the coupling between sexual reproduction and the production of resting stages (diapausing eggs) imposes strong constraints on the timing of sex. Whereas induction of sex is generally triggered by environmental cues, the response to such cues may vary across individuals according to genetic and nongenetic factors. In this study, we explored genetic and epigenetic causes of variation for the propensity for sex using a collection of strains from a Spanish population of monogonont rotifers (Brachionus plicatilis) in which variation for the threshold population density at which sex is induced (mixis threshold) had been documented previously. Our results show significant variation for the mixis threshold among 20 clones maintained under controlled conditions for 15 asexual generations. The effect of the number of clonal generations since hatching of the diapausing egg on the mixis ratio (proportion of sexual offspring produced) was tested on 4 clones with contrasted mixis thresholds. The results show a negative correlation between the mixis threshold and mixis ratio, as well as a significant effect of the number of clonal generations since fertilization, sex being repressed during the first few generations after hatching of the diapausing egg.     

Effects of spontaneous mutation accumulation on sex ratio traits in a parasitoid wasp

Sex allocation theory has proved extremely successful at predicting when individuals should adjust the sex of their offspring in response to environmental conditions. However, we know rather little about the underlying genetics of sex ratio or how genetic architecture might constrain adaptive sex-ratio behavior. We examined how mutation influenced genetic variation in the sex ratios produced by the parasitoid wasp Nasonia vitripennis. In a mutation accumulation experiment, we determined the mutability of sex ratio, and compared this with the amount of genetic variation observed in natural populations. We found that the mutability (h(2)(m)) ranges from 0.001 to 0.002, similar to estimates for life-history traits in other organisms. These estimates suggest one mutation every 5-60 generations, which shift the sex ratio by approximately 0.01 (proportion males). In this and other studies, the genetic variation in N. vitripennis sex ratio ranged from 0.02 to 0.17 (broad-sense heritability, H(2)). If sex ratio is maintained by mutation-selection balance, a higher genetic variance would be expected given our mutational parameters. Instead, the observed genetic variance perhaps suggests additional selection against sex-ratio mutations with deleterious effects on other fitness traits as well as sex ratio (i.e., pleiotropy), as has been argued to be the case more generally.     

The reproductive strategy of the gregarious parasitoid,Pteromalus puparum (Hymenoptera: Pteromalidae)

Summary Host size of Pteromalus puparum, a gregarious pupal parasitoid, shows a wide inter- and intraspecific variation. Experiments were made to study the regulation of the number and sex ratio of progeny per host by the parasitoid. The parasitoid could discriminate inter- and intraspecific size differences of the host and regulate the number of eggs according to the host size when a single female attacked the host. The sex ratio of progeny (proportion males) was about 0.1. The number of progeny laid by the female agreed with the energetically most efficient number og eggs in order to maximize total weight of progeny per host but not with the reproductively most efficient number of eggs to maximize the total fecundity of the progeny. The parasitoid laid smaller number of eggs in a half buried host, but the number was much larger than a half of those in a fully exposed host. When more than one female attacked a single host, the number and sex ratio of progeny per host increased with the number of females attacking the host, but the number of progeny per female decreased. The change of the sex ratio agreed with the prediction of the local mate competition model.     

Host size induced variation in progeny sex ratio of an aphid parasitoid Lysiphlebia mirzai

A study aimed at determining the effect of host size on the pattern of sex allocation by an aphid parasitoid Lysiphlebia mirzai Shuja-Uddin (Hymenoptera: Braconidae: Aphidiinae) was undertaken to test the validity of the following three hypotheses: (1) larger hosts will yield a greater proportion of daughters, (2) differential mortality of the sexes of the parasitoid during development is a function of host-size, and (3) daughters emerging from larger hosts are more fecund. The results suggested a propensity in the parasitoid to deposit fertilised (diploid) eggs in large hosts (third instar nymph) and unfertilised (haploid) eggs in small hosts (first and second instar nymphs). Unpreferred fourth instar nymphs and apterous aphid adults also received more haploid eggs despite being larger in size than the preferred third instar nymphs. However, the perception of host size by the mother was dependent on the extent of temporal variation in the host size distribution and on her previous experience of host size. Developmental period, longevity, mating potential, fecundity and progeny sex ratio of L. mirzai emerging from small versus large hosts indicated that the host size affected the fitness of the daughters more than that of sons. No differential mortality of the sexes during development of L. mirzai was observed in small versus large hosts. This shows that L. mirzai, while ovipositing in growing stages of the host, adjusts progeny sex ratio according to the host size and by doing so she tends to contribute maximally to progeny fitness without knowing about the future host quality.     

Regulation of Progeny Sex by Anisopteromalus calandrae (Hymenoptera: Pteromalidae) in Relation to Host Preference,Host Vulnerability and Host Size

Regulation of progeny sex by Anisopteromalus calandrae (Howard) in relation to host preference, host vulnerability and host size was studied with two host species, Sitophilus oryzae (L.) and Callosobruchus chinensis L. A. calandrae preferred S. oryzae to C. chinensis (preference index = 0.87). The progeny sex ratio (females/total) was significantly higher on C. chinensis, the less preferred host, than on S. oryzae regardless of the instar age of the two host species. A. calandrae could locate only a few young larvae of C. chinensis (≤third instar), which could be apparently due to the low vulnerability of the young larvae locating deeper in the adzuki bean kernels. The larval instar age of Sitophilus oryzae affect the progeny sex ratio of A. calandrae, but that of Callosobruchus chinensis did not except invulnerable ones. The progeny sex ratio of A. calandrae produced from C. chinensis, ranged from 0.66±0.05 to 0.82±0.02. The invulnerability of the young larval instar of C. chinensis and regulation of the progeny sex ratio by A. calandrae based on host size in a manner of absolute rule could explain the higher sex ratio on the young larval instar of C. chinensis, less preferred and less vulnerable host, than the old larval instar of S. oryzae, highly preferred host. The differences in host vulnerability could be another factor for A. calandrae assigning progeny sex ratio.     

Resource utilization and sex allocation in response to host size in two ectoparasitoid wasps on subcortical beetles

Patterns of host resource utilization and sex ratio manipulation in relation to host size were investigated for two solitary ectoparasitoid wasps,Atanycolus initiator andSpathius brevicaudis (Hymenoptera Braconidae). Both species parasitize subcortical beetles on the trunks of Japanese pine trees.A. initiator is on average 8 times larger in body weight and has an ovipositor that is 3.7 times longer than that ofS. brevicaudis. In both parasitoids, the size of emerging wasps was positively correlated with host size, but the host/wasp size regressions were linear for all three major host species inA. initiator, whereas inS. brevicaudis the regression was logarithmic for a relatively large host species. The sex ratios (proportion of males) of both parasitoids emerging from different host species decreased with increasing host size, but the overall sex ratio on each host species was male-biased inA. initiator, while female-biased inS. brevicaudis. How the proportion of host consumed changed in response to host size, differed between the two parasitoids for the same host species. In the field survey, the size and sex ratio of the emerging two parasitoids from a dead tree were closely related to host size. However, the spatial distribution of the two parasitoids depended on the bark thickness of the trunk. The data suggest that differences in the relative evaluation of host size and in ovipositor length may enable the coexistence of the two parasitoid wasps.     

Sorting out the effects of Wolbachia, genotype and inbreeding on life-history traits of a spider mite

Wolbachia bacteria manipulate host reproduction by inducing cytoplasmic incompatibility (CI) and sex ratio distortion. Wolbachia are transmitted from mother to offspring through the cytoplasm of the egg. Therefore, reproduction of Wolbachia is tightly coupled to reproduction of its host. Mathematical analysis predicts that in the course of evolution, traits that reduce the physiological costs of the infection will be selectively favored. For a Wolbachia-host system to evolve, traits under selection must have some genetic component and variation must be present in the population. We have previously established that highly inbred isofemale lines of the two-spotted spider mite Tetranychus urticae may differ regarding the effects of infection by Wolbachia, and that at least some of the traits affected had a genetic component. However, the effects measured could have been affected by the fact that the lines were severely inbred prior to the experiments. In this paper we attempt to distinguish between the effects of Wolbachia, isofemale line, and inbreeding. We show that Wolbachia did not affect longevity but infected females produced smaller clutch sizes, more daughter-biased sex ratios and had decreased F1 mortality; between-line variation was found for clutch size, F1 mortality and sex ratio; finally, inbreeding resulted in an overall reduction of clutch sizes, and a change in survival curves and mean longevity. This revised version was published online in July 2006 with corrections to the Cover Date.     

How parasitoid sex ratio,size and emergence time are associated with fruit tree cultivar,within-orchard tree position and ants

The biocontrol potential of naturally occurring parasitoids is influenced by the parasitoids’ population and individual characteristics. We studied field determinants of characteristics of the parasitoid Scambus pomorum (Hymenoptera: Ichneumonidae) emerging from weevils (Anthonomus pomorum; Coleoptera: Curculionidae) hidden in damaged apple blossoms. The studied determinants comprised local-scale factors that can be managed by individual growers: tree cultivar, distance between apple trees and forest, and presence of ants. The studied parasitoid characteristics were sex ratio, body size and emergence time. Parasitoid sex ratio, in general female-biased, was significantly different for parasitoids emerging from hosts feeding on different apple cultivars. This finding suggests sex ratio adjustment driven by plant genotype-dependent variation in parasitoid host quality. The detected significant increase of sex ratio (more males) with increasing distance to forest might be explained by sperm depletion of ovipositing parasitoid females immigrating into the orchard. Exclusion of ants significantly increased female-bias in sex ratio in one of the studied apple cultivars. Body size of female and male parasitoids was significantly different between parasitoids emerging from different apple cultivars, supporting the view of cultivar-dependent variation in the quality of the parasitoid’s host. Distance to forest was positively correlated with parasitoid size, indicating farther dispersal of larger individuals. Emergence time varied significantly between apple cultivars, probably due to differences in plant phenology. By demonstrating that parasitoid characteristics vary widely within an orchard, this study shows that parasitoid characteristics that are relevant for biological control might be improved via appropriate management of the orchard and its immediate surroundings.     

Evidence of genetic and maternal effects on secondary sex ratio in cattle

There is a paucity of estimates of genetic variation for secondary sex ratio (i.e., sex ratio at birth) in dairy cattle. The objective of this study was to estimate the direct and maternal genetic variance as well as maternal permanent environmental variance for offspring sex in dairy herds. The data consisted of 77,508 births from 61,963 dams and 2,859 sires in 1,369 Irish dairy herds across the years 2003 to 2008, inclusive. Mixed models were used to estimate all parameters. Significant genetic variation in sex ratio existed, with a heritability for secondary sex ratio estimated at 0.02; the genetic standard deviation was 0.07 percentage units. No maternal genetic effects on secondary sex ratio were identified but the proportion of phenotypic variance in secondary sex ratio attributable to maternal permanent environmental effects was similar to that attributable to the additive genetic variance (i.e., 0.02). These results, therefore, suggest that the paternal (genetic) influence on secondary sex ratio is just as large as the maternal (non-genetic) influence, both of which are biologically substantial. The results from this study will be useful in generating a sample population of divergent animals for inclusion in a controlled experiment to elucidate the physiological mechanism underpinning differences in secondary sex ratio.     

Host-size-dependent feeding behaviour and progeny sex ratio of Anisopteromalus calandrae (Hym., Pteromalidae)

Host-size related feeding and oviposition behaviour, and allocation of progeny sex by Anisopteromalus calandrae (Howard) were tested on Sitophilus oryzae L. The parasitoid showed a host-size-dependent partition of feeding and oviposition behaviour, preferring small hosts for feeding, but large hosts for oviposition. Neither the mutual interference nor the host density showed any effect on the behaviour of the parasitoid. Allocation of progeny sex by the female parasitoid appeared to be based more likely on absolute than on relative host size encountered. A model for the progeny sex ratio was constructed based on: (1) ovipositional preference of the parasitoid on large hosts; (2) feeding preferentially on small hosts; and (3) host-size-related regulation of progeny sex ratio. The progeny sex ratio of the parasitoid predicted by the model was in close agreement with the observed value.     

Sex ratios in natural populations ofAphelinus mali (Hym.: Aphelinidae) in relation to host size and host density

In an apple orchard at Armidale, the Northern Tablelands of NSW, population sex ratios ofAphelinus mali (Haldeman), an endoparasitoid of the woolly apple aphid,Eriosoma lanigerum (Hausmann) varied from 0.51 (proportion of males) at low host densities to female-biased at high host densities (proportion of males ranged from 0.35–0.39). This shift in sex ratio seems to be caused by the differences in allocation of sons and daughters to hosts of different sizes. In the fieldA. mali parasitizes all life stages (four nymphal instars and adult) of the woolly aphid upon encountering. According to Hughes'(1979) optimal diet model, such general host acceptance seems to be the best strategy. However, it allows the host nymphs or adults to continue to develop or reproduce until about to mummify (pupate). No mortality was observed when first or second-instar hosts were parasitized in the laboratory. Field collected small mummified hosts yielded male-biased sex ratios whereas large mummified hosts produced mainly females. In the laboratory, progeny from smaller hosts (first to third-instars) produced sex ratios which were not significantly different from 0.5 whereas progeny from larger hosts (third and fourth-instars) produced female-biased sex ratio. During winter (June–August) and early spring (September–October) when the host populations in the orchard were predominantly nymphs, the parasitoid tended to allocate equal resources to male and female offspring. In contrast, at peak population densities in summer and autumn (December–May) when larger hosts were available, the sex ratios were female-biased. The host size ofE. lanigerum andA. mali is, therefore, an important component in the dynamics of host-parasitoid interactions.     

Sex ratio variation as a function of host size in Pseudacteon flies (Diptera: Phoridae), parasitoids of Solenopsis fire ants (Hymenoptera: Formicidae)

Some Pseudacteon (Diptera: Phoridae) flies are parasitoids of Solenopsis (Hymenoptera: Formicidae) ant workers in North and South America. Laboratory studies of sex allocation revealed a pattern of sex ratio variation as a function of host size, with more females arising from larger hosts. Environmental sex determination is a possible mechanism for the observed pattern, and examination of Pseudacteon life history reveals several traits assumed to be important in models predicting conditions under which environmental sex determination is favoured. Sex allocation patterns of Pseudacteon are compared with theoretical predictions and empirical data from better-studied hymenoptcran parasitoids that have haplodiploid sex determination. The pattern of sex ratio variation observed has important implications for biocontrol efforts of imported Solenopsis fire ants by the introduction of Pseudacteon parasitoids.     

SEX ALLOCATION IN THE MONOECIOUS HERB BEGONIA SEMIOVATA

Sex-allocation models predict that the evolution of self-fertilization should result in a reduced allocation to male function and pollinator attraction in plants. The evolution of sex allocation may be constrained by both functional and genetic factors, however. We studied sex allocation and genetic variation for floral sex ratio and other reproductive traits in a Costa Rica population of the monoecious, highly selfing annual Begonia semiovata. Data on biomass of floral structures, flower sex ratios, and fruit set in the source population were used to calculate the average proportion of reproductive allocation invested in male function. Genetic variation and genetic correlations for floral sex ratio and for floral traits related to male and female function were estimated from the greenhouse-grown progeny of field-collected maternal families. The proportion of reproductive biomass invested in male function was low (0.34 at flowering, and 0.07 for total reproductive allocation). Significant among-family variation was detected in the size (mass) of individual male and female flowers, in the proportion of male flowers produced, and in the proportion of total flower mass invested in male flowers. Significant among-family variation was also found in flower number per inflorescence, petal length of male and female flowers, and petal number of female flowers. Except for female petal length, we found no difference in the mean value of these characters between selfed and outcrossed progeny, indicating that, with the possible exception of female petal length, the among-family variation detected was not the result of variation among families in the level of inbreeding. Significant positive phenotypic and broad-sense genetic correlations were detected between the mass of individual male and female flowers, between male and female petal length, and between number of male and number of female flowers per inflorescence. The ratio of stamen-to-pistil mass (0.33) was low compared to published data for autogamous species with hermaphroditic flowers, suggesting that highly efficient selfing mechanisms may evolve in monoecious species. Our results indicate that the study population harbors substantial genetic variation for reproductive characters. The positive genetic correlation between investment in male and female flowers may reflect selection for maximum pollination efficiency, because in this self-pollinating species, each female flower requires a neighboring male flower to provide pollen.     

Heritable Variation for Sex Ratio under Environmental Sex Determination in the Common Snapping Turtle (Chelydra Serpentina)

The magnitude of quantitative genetic variation for primary sex ratio was measured in families extracted from a natural population of the common snapping turtle (Chelydra serpentina), which possesses temperature-dependent sex determination (TSD). Eggs were incubated at three temperatures that produced mixed sex ratios. This experimental design provided estimates of the heritability of sex ratio in multiple environments and a test of the hypothesis that genotype x environment (G x E) interactions may be maintaining genetic variation for sex ratio in this population of C. serpentina. Substantial quantitative genetic variation for primary sex ratio was detected in all experimental treatments. These results in conjunction with the occurrence of TSD in this species provide support for three critical assumptions of Fisher's theory for the microevolution of sex ratio. There were statistically significant effects of family and incubation temperature on sex ratio, but no significant interaction was observed. Estimates of the genetic correlations of sex ratio across environments were highly positive and essentially indistinguishable from + 1. These latter two findings suggest that G x E interaction is not the mechanism maintaining genetic variation for sex ratio in this system. Finally, although substantial heritable variation exists for primary sex ratio of C. serpentina under constant temperatures, estimates of the effective heritability of primary sex ratio in nature are approximately an order of magnitude smaller. Small effective heritability and a long generation time in C. serpentina imply that evolution of sex ratios would be slow even in response to strong selection by, among other potential agents, any rapid and/or substantial shifts in local temperatures, including those produced by changes in the global climate.     

Genetic parameters for litter size in sheep: natural versus hormone-induced oestrus

The litter size in Suffolk and Texel-sheep was analysed using REML and Bayesian methods. Litters born after hormonal induced oestrus and after natural oestrus were treated as different traits in order to estimate the genetic correlation between the traits. Explanatory variables were the age of the ewe at lambing, period of lambing, a year*flock-effect, a permanent environmental effect associated with the ewe, and the additive genetic effect. The heritability estimates for litter size ranged from 0.06 to 0.13 using REML in bi-variate linear models. Transformation of the estimates to the underlying scale resulted in heritability estimates from 0.12 to 0.17. Posterior means of the heritability of litter size in the Bayesian approach with bi-variate threshold models varied from 0.05 to 0.18. REML estimates of the genetic correlations between the two types of litter size ranged from 0.57 to 0.64 in the Suffolk and from 0.75 to 0.81 in the Texel. The posterior means of the genetic correlation (Bayesian analysis) were 0.40 and 0.44 for the Suffolk and 0.56 and 0.75 for the Texel in the sire and animal model respectively. A bivariate threshold model seems appropriate for the genetic evaluation of prolificacy in the breeds concerned.