Evolutionary stable sex ratios with non‐facultative male‐eggs first sex allocation in fig wasps

Sex allocation theory has long generated insights into the nature of natural selection. Classical models have elucidated causal phenomena such as local mate competition and inbreeding on the degree of female bias exhibited by various invertebrates. Typically, these models assume mothers facultatively adjust sex allocation using predictive cues of future offspring mating conditions. Here we relax this assumption by developing a sex allocation model for haplodiploid mothers experiencing local mate competition that lay a fixed number of male eggs first. Female egg number is determined by remaining oviposition sites or remaining eggs of the mother, depending on which is exhausted first. Our model includes parameters for variation in foundress number, patch size, fecundity and offspring mortality that allow us to generate secondary sex ratio predictions based on specific parameterizations for natural populations. Simulations show that: 1) in line with classical models, factors that increase sib‐mating result in mothers laying relatively more female eggs; 2) high offspring mortality leads to relatively more males as fertilization insurance; 3) unlike classical model predictions, sub‐optimal predictions, such as more males than females are possible. In addition, our model provides the first quantitative predictions for the expected number of males and females in a patch where typically only one mother utilizes a given patch. We parameterized the model with data obtained from seven species of southern African fig wasps to predict expected means and variances for numbers of male and female offspring for typical numbers of mothers utilizing a patch. These predictions were compared to secondary sex ratio data from single foundress patches, the most commonly encountered situation for these species. Our predictions matched both the observed number and variance of male and female offspring with a high degree of accuracy suggesting that facultative adjustment is not required to produce evolutionary stable sex ratios.     

Intraspecific variability in egg maturation patterns and associated life‐history trade‐offs in a polyembryonic parasitoid wasp

1. Life‐history theory predicts a trade‐off between the resources allocated to reproduction and those allocated to survival. Early maturation of eggs (pro‐ovigeny) is correlated with small body size and low adult longevity in interspecific comparisons among parasitoids, demonstrating this trade‐off. The handful of studies that have tested for similar correlations within species produced conflicting results. 2. Egg maturation patterns and related life‐history traits were studied in the polyembryonic parasitoid wasp, Copidosoma koehleri (Hymenoptera: Encyrtidae). Although the genus Copidosoma was previously reported to be fully pro‐ovigenic, mean egg loads of host‐deprived females almost doubled within their first 6 days of adulthood. 3. The initial egg‐loads of newly emerged females were determined and age‐specific realised fecundity curves were constructed for their clone‐mate twins. The females' initial egg loads increased with body size, but neither body size nor initial egg load was correlated with longevity and fecundity. 4. The variation in initial egg loads was lowest among clone‐mates, intermediate among non‐clone sisters and highest among non‐sister females. The within‐clone variability indicates environmental influences on egg maturation, while the between‐clone variation may be genetically based. 5. Ovaries of host‐deprived females contained fewer eggs at death (at ～29 days) than on day 6. Their egg loads at death were negatively correlated with life span, consistent with reduced egg production and/or egg resorption. Host deprivation prolonged the wasps' life span, suggesting a survival cost to egg maturation and oviposition. 6. It is concluded that adult fecundity and longevity were not traded off with pre‐adult egg maturation.     

Trans‐generational effects of maternal rearing density on offspring development time in a parasitoid wasp

Maternal pre‐reproductive experience can impose phenotypic changes on offspring traits. These modifications may result from physiological constraints, although they can also increase the adaptation of offspring to their anticipated environment. Distinguishing between the two interpretations is often difficult. The effects of virgin female rearing density on their longevity and the characteristics of their male offspring are explored in the polyembryonic parasitoid wasp Copidosoma koehleri (Blanchard) (Encyrtidae: Hymenoptera). High rearing density may adversely affect maternal physiology or, alternatively, act as a cue for anticipated competition during the lives of the mothers and their offspring. Male offspring of group‐reared females reach pupation significantly sooner than male offspring of females reared alone. This accelerated development may provide an advantage when competition from superparasitising individuals is expected. The lifespan of high‐density females is longer than that of singly‐reared females, and their male offspring survive longer, suggesting that crowded rearing does not reduce the fitness of females or offspring. The shortened development time of male offspring may reflect an adaptive epigenetic response to predicted competitive conditions.     

Spiteful soldiers and sex ratio conflict in polyembryonic parasitoid wasps

The existence of spiteful behaviors remains controversial. Spiteful behaviors are those that are harmful to both the actor and the recipient, and they represent one of the four fundamental types of social behavior (alongside selfishness, altruism, and mutual benefit). It has generally been assumed that the conditions required for spite to evolve are too restrictive, and so spite is unlikely to be important. This idea has been challenged in recent years, with the realization that localized competition can relax the conditions required for spite to evolve. Here we develop a theoretical model for a prime candidate for a spiteful behavior, the production of the sterile soldier caste in polyembryonic wasps. Our results show that (a) the biology of these soldiers is consistent with their main role being to mediate conflict over the sex ratio and not to defend against competitors and (b) greater conflict will occur in more outbred populations. We also show that the production of the sterile soldier caste can be classed as a spiteful behavior but that, to an extent, this is merely a semantic choice, and other interpretations such as altruism or indirect altruism are valid. However, the spite interpretation is useful in that it can lead to a more natural interpretation of relatedness and facilitate the classification of behaviors in a way that emphasizes biologically interesting differences that can be empirically tested.     

Does constrained oviposition influence offspring sex ratio in the solitary parasitoid wasp Venturia canescens?

Abstract.  1. In haplodiploid organisms, virgin or sperm-depleted females can reproduce but are constrained to produce only male progeny. According to Godfray's constrained model, when p , the proportion of females constrained to produce only male progeny, is not null in a panmictic population, unconstrained females should bias their sex allocation towards females to compensate for the excess of males. These unconstrained females should be able to adjust the sex ratio in response to local variation of p .
2. In this paper an experimental approach is used to test the hypotheses of this model in the solitary endoparasitoid Venturia canescens under both field and laboratory conditions. Specifically, it is tested whether unconstrained females use their encounters with conspecifics (either male or female) to estimate p and then adjust their sex ratio accordingly.
3. As assumed by Godfray's model, constrained females actively search for host patches in the field and under laboratory conditions produce the same number of offspring during their lifetime as unconstrained females. As predicted by the model, unconstrained females produce a sex ratio biased towards females both in the laboratory and in the field.
4. The results show that this bias is not a response to encounters with conspecifics previous to oviposition. The hypothesis that the bias is due to differential mortality between sexes during ontogeny is also rejected. The proportions of constrained ovipositions estimated in two natural populations explain only a small fraction of the sex ratio bias observed in V. canescens.     

Spatial and genetic structure of host‐associated differentiation in the parasitoid Copidosoma gelechiae

Host‐associated differentiation (HAD) appears to be an important driver of diversification in the hyperdiverse phytophagous and parasitoid insects. The gallmaking moth Gnorimoschema gallaesolidaginis has undergone HAD on two sympatric goldenrods (Solidago), and HAD has also been documented in its parasitoid Copidosoma gelechiae, with the intriguing suggestion that differentiation has proceeded independently in multiple populations. We tested this suggestion with analysis of Amplified Fragment Length Polymorphism (AFLP) markers for C. gelechiae collections from the midwestern and northeastern United States and eastern Canada. AFLP data were consistent with the existence of HAD, with between‐host F_ST significant before Bonferroni correction in two of seven sympatric populations. amova analysis strongly rejected a model of HAD with a single historical origin, and thus supported the repeated‐HAD hypothesis. Copidosoma gelechiae shows significant host‐associated divergence at a number of allozyme loci ( Stireman et al., 2006 ), but only weak evidence via AFLPs for genome‐wide differentiation, suggesting that this species is at a very early stage of HAD.     

Effect of paternal age on the birth sex ratio in captive populations of aye‐aye (Daubentonia madagascariensis (Gmelin))

For the management of captive populations of zoo animals, it is important to elucidate factors that affect the offspring birth sex ratio. On the basis of the sex allocation theory, the Trivers–Willard and mate attractive/quality hypotheses predict that maternal and paternal conditions affect offspring birth sex ratios. We examined these predictions for the birth sex ratio of aye‐aye Daubentonia madagascariensis (Gmelin) by analyzing the pedigree information in the International Studbook. We found that the birth sex ratio of the aye‐aye was affected by the paternal age, but not maternal age and other environmental factors (birth year, season, and institution). The younger the sire, the more the offspring sex ratio was biased toward males. These results are useful for the effective population management of captive aye‐aye and illustrated the usefulness of the sex allocation theory in the sex ratio management of zoo animals.     

Frequency‐dependent two‐sex models: a new approach to sex ratio evolution with multiple maternal conditions

Mothers that experience different individual or environmental conditions may produce different proportions of male to female offspring. The Trivers‐Willard hypothesis, for instance, suggests that mothers with different qualities (size, health, etc.) will use different sex ratios if maternal quality differentially affects sex‐specific reproductive success. Condition‐dependent, or facultative, sex ratio strategies like these allow multiple sex ratios to coexist within a population. They also create complex population structure due to the presence of multiple maternal conditions. As a result, modeling facultative sex ratio evolution requires not only sex ratio strategies with multiple components, but also two‐sex population models with explicit stage structure. To this end, we combine nonlinear, frequency‐dependent matrix models and multidimensional adaptive dynamics to create a new framework for studying sex ratio evolution. We illustrate the applications of this framework with two case studies where the sex ratios depend one of two possible maternal conditions (age or quality). In these cases, we identify evolutionarily singular sex ratio strategies, find instances where one maternal condition produces exclusively male or female offspring, and show that sex ratio biases depend on the relative reproductive value ratios for each sex.     

Employing evolutionary theory to improve biological pest control: Causes of non-adaptive sex allocation behavior in parasitoid wasps and implications

Models based on sex allocation theory predict that when the fitness gains from larger size differ between male and female offspring, mothers should produce the sex that will offer the greatest investment return. Behavioral studies on parasitoid wasps have confirmed predictions of models, which additionally have practical implications because of their relevance in biological control. We investigated how a parasitoid attacking a scale insect matches theoretical model predictions in a 2-year field study. As predicted by Charnov's host quality model, mothers laid female eggs in hosts above a threshold size. This threshold was absolute, i.e. independent of the host size distribution, independently of the sampling site and date. Further laboratory assays confirmed field results for at least one parasitoid generation and, moreover, excluded the possibility that the observed behavior was a consequence of immature mortality. By comparing the characteristics of our system with others, we hypothesize that this short-term absolute threshold might be favored in polyphagous parasitoids that attack multivoltine hosts. We propose three measures to mitigate the negative implications of this sex allocation behavior in classical and augmentative biological control programs.     

Dispersal and mating structure of a parasitoid with a female-biased sex ratio: Implications for theory

Summary Species of parasitic Hymenoptera that manifest female-biased sex ratios and whose offspring mate only with the offspring of the natal patch are assumed to have evolved biased sex ratios because of Local Mate Competition (LMC). Off-patch matings, i.e. outcrossing, are inconsistent with the conditions favouring biased sex ratios because they foster a mating structure approaching panmixia. Such a mating structure favours parents who invest equally in daughters and sons, assuming the production of each sex is of equal cost.Pachycrepoideus vindemiae (Rondani) is a solitary pupal parasitoid of patchily distributed frugivorousDrosophila, whose offspring manifest a female-biased sex ratio. Thus this species appears to manifest a population structure and progeny sex ratio consistent with LMC. However, preliminary observations and subsequent greenhouse experiments suggest that the males participate in off-patch matings and that this propensity is unlikely to be an experimental artefact. FemaleP. vindemiae dispersed from patches in which either the males were lacking (12% of the emigrant females), both resident (sibling) and immigrant males were present (23% of the females), only immigrant males were present (14% of the females), or their opportunity to mate could not be determined (14% of the females). Of the 12% that emigrated from a patch lacking males, an estimated 7% mated at an oviposition site and 5% remained unmated, presumably because they arrived at an oviposition site that lacked males before they were dissected to determine whether they were inseminated. Thus the degree of bias in the sex ratios of the progeny (18% males), coupled with the suggested outcrossing potential from the experiments (26–37%), is inconsistent with the assumptions of LMC or variants of it, i.e. asynchronous brood maturation. Thus the explanation for a biased sex ratio in the offspring ofP. vindemiae remains a conundrum. More importantly,P. vindemiae does not appear to be an isolated example.     

The effect of multi‐species host density on superparasitism and sex ratio in a gregarious parasitoid

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Offspring allocation in externally ovipositing fig wasps with varying clutch size and sex ratio

The simultaneous optimization of clutch size and sex ratio isa tricky problem. Unless parameters such as host size or fecundityexist to pin down the optimal clutch size, this problem remainselusive to analytical analysis. This is because the fitnesslandscape with respect to clutch size and sex ratio does nothave one single evolutionarily stable peak toward which thepopulation can evolve. To solve this problem, I used a computeremulation to optimize both clutch size and sex ratio using externallyovipositing fig wasps as a model taxon. The simulation approachallows the use of integer numbers of eggs rather than assumingthat females can produce any sex ratio between 0 and 1. Whenfemales have no information about the patches on which theyoviposit, they produce either large clutches with a strong femalebias or clutches of a single male egg. When females have completeknowledge of their oviposition site, a set of conditional substrategiesis evolutionarily stable. Again, these substrategies are eitherlarge clutches with a female bias or dutches consisting of asingle male egg. This dichotomous oviposition pattern resultsin unrelated males sharing a fig, a condition conducive to theevolution of fatal fighting. Selection on female ovipositionstrategies may therefore be an important driving force behindhigh levels of fighting observed between male fig wasps.     

Daphnia females adjust sex allocation in response to current sex ratio and density

Cyclical parthenogenesis presents an interesting challenge for the study of sex allocation, as individuals’ allocation decisions involve both the choice between sexual and asexual reproduction, and the choice between sons and daughters. Male production is therefore expected to depend on ecological and evolutionary drivers of overall investment in sex, and those influencing male reproductive value during sexual periods. We manipulated experimental populations, and made repeated observations of natural populations over their growing season, to disentangle effects of population density and the timing of sex from effects of adult sex ratio on sex allocation in cyclically parthenogenetic Daphnia magna. Male production increased with population density, the major ecological driver of sexual reproduction; however, this response was dampened when the population sex ratio was more male‐biased. Thus, in line with sex ratio theory, we show that D. magna adjust offspring sex allocation in response to the current population sex ratio.     

Towards a general perspective on life‐history evolution and diversification in parasitoid wasps

In attempting to explain the marked interspecific variation evident in many components of life‐history in parasitoid wasps, biologists have sought to identify general predictors of suites of ‘important’ life‐history traits. Two predictors currently in general use are: (1) the parasitoid mode of larval development in relation to future host growth and development [no further host growth and development (= idiobiosis) versus continued host growth and development (= koinobiosis)]; and (2) the ovigeny index (the degree to which the lifetime potential complement of eggs is mature at the start of adult life in females). These have been postulated to share several life‐history correlates, and an earlier comparative analysis showed the predictors to be associated. Two questions are thus posed: which life‐history variables are actually common to both idio/koinobiosis and the ovigeny index, and which are responsible for the link between these two axes of life‐history diversity? Through comparative analyses of a database of life‐history traits for 133 parasitoid wasp species, four life‐history correlates out of the 11 we investigated are shown to account for the association between the two predictors: the relative level of resource investment per egg (degree of yolk richness, which is lower in koinobionts), pre‐adult lifespan (longer in koinobionts), female lifespan (shorter in koinobionts), and maximum egg load (larger in koinobionts). Our findings pave the way for full integration of the dichotomous hypothesis with the ovigeny index hypothesis, to provide a holistic perspective on parasitoid wasp life‐history diversity and evolution. © 2011 The Linnean Society of London, Biological Journal of the Linnean Society, 2011, 104 , 443–461.     

Ovarian atresia and sex ratio imbalance in white sucker, Catostomus commersoni

In a small north-temperate lake, 53–56% of post-spawning, female white suckers spanning a wide range of ages showed ovarian atresia in 1981 and 1987. Comparison of ovarian atresia frequencies and adult sex ratios in nine white sucker populations indicated that this spawning disorder may have been due to a paucity of males at spawning. Adult female:male sex ratio in the King Lake population was 2.82:1 in 1981 and 2.73:1 in 1987, compared with 0.91:1 to 1.75:1 in populations that exhibited lower resorption frequencies (0–7.1%). Removal of 29% of the King Lake male suckers in 1988 elevated the female: male sex ratio to 3.5:1 and frequency of ovarian atresia rose to 75%. Unspawned ova were almost completely resorbed 3 months after the spring spawning period. Post-spawning mortality was not different between spent and resorbing females. The somatic condition of resorbing and spent females did not differ. There was no evidence that atresia interfered with gamete development subsequently. The sex ratio imbalance present in King Lake was not a function of population density.     

Camera‐trapping provides insights into adult sex ratio variability in felids

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Dual‐ and single‐shot susceptibility ratio measurements with circular polarizations in second‐harmonic generation microscopy

Polarization‐resolved second‐harmonic generation (P‐SHG) microscopy is a technique capable of characterizing nonlinear optical properties of noncentrosymmetric biomaterials by extracting the nonlinear susceptibility tensor components ratio , with z‐axis parallel and x‐axis perpendicular to the C₆ symmetry axis of molecular fiber, such as a myofibril or a collagen fiber. In this paper, we present two P‐SHG techniques based on incoming and outgoing circular polarization states for a fast extraction of : A dual‐shot configuration where the SHG circular anisotropy generated using incident right‐ and left‐handed circularly‐polarized light is measured; and a single‐shot configuration for which the SHG circular anisotropy is measured using only one incident circular polarization state. These techniques are used to extract the of myosin fibrils in the body wall muscles of Drosophila melanogaster larva. The results are in good agreement with values obtained from the double Stokes‐Mueller polarimetry. The dual‐ and single‐shot circular anisotropy measurements can be used for fast imaging that is independent of the in‐plane orientation of the sample. They can be used for imaging of contracting muscles, or for high throughput imaging of large sample areas.     

Crowding, sex ratio and horn evolution in a South African beetle community

Sexually selected ornaments and weapons are exceptionally variable, even between closely related species. It has long been recognized that some of this diversity can be explained by differences in mating systems between species, but there remains substantial variation between species with similar mating systems. We investigated the roles of sex ratio (measured as operational sex ratio, OSR) and population density (measured as mean male crowding, a measure indicating the average number of conspecific males that an individual male animal will encounter) in determining horn presence in a community of South African dung beetles. Analysis of data from 14 species using a generalized least-squares model incorporating phylogenetic influences found that both OSR and mean crowding were significant predictors of horn presence, with hornless species tending to show female-biased sex ratios and high levels of crowding. The influence of mean crowding on horn diversity between species probably reflects the difficulty of guarding and monopolizing females when many competitors are present, meaning that males who adopt 'scramble' tactics tend to be favoured.     

The effects of functional response and host abundance fluctuations on genetic rescue in parasitoids with single‐locus sex determination

Many parasitoids have single‐locus complementary sex determination (sl‐CSD), which produces sterile or inviable males when homozygous at the sex determining locus. A previous study theoretically showed that small populations have elevated risks of extinction due to the positive feedback between inbreeding and small population size, referred to as the diploid male vortex. A few modeling studies have suggested that the diploid male vortex may not be as common because balancing selection at sex determining loci tends to maintain high allelic diversity in spatially structured populations. However, the generality of the conclusion is yet uncertain, as they were drawn either from models developed for particular systems or from a general‐purpose competition model. To attest the conclusion, we study several well‐studied host–parasitoid models that incorporate functional response specifying the number of attacked hosts given a host density and derive the conditions for a diploid male vortex in a single population. Then, we develop spatially structured individual‐based versions of the models to include female behavior, diploid male fertility, and temporal fluctuations. The results show that producing a handful of successful offspring per female parasitoid could enable parasitoid persistence when a typical number of CSD alleles are present. The effect of functional response depends on the levels of fluctuations in host abundance, and inviable or partially fertile diploid males and a small increase in dispersal can alleviate the risk of a diploid male vortex. Our work supports the generality of effective genetic rescue in spatially connected parasitoid populations with sl‐CSD. However, under more variable climate, the efficacy of the CSD mechanism may substantially decline.     

A female‐produced short‐range sex pheromone in the egg parasitoid Trissolcus brochymenae

The potential for short‐range sex pheromone communication by the egg parasitoid wasp Trissolcus brochymenae (Hymenoptera: Platygastridae) was investigated in closed arena bioassays. Males of this parasitoid showed more antennal drumming and more frequent mounting behaviour on 1‐ to 2‐d‐old virgin females compared with 8‐d‐old virgin females. Male copulation attempts were fewer with previously mated females than with virgin females. Males courted and made copulation attempts with 1‐ to 2‐d‐old female cadavers, but not with male cadavers or with female cadavers rinsed in organic solvents of different polarities. Male attraction to female cadavers was re‐established by treating cadavers with acetone extracts of females, but not with ether or hexane extracts. In experiments using female cadavers dissected into head, mesosoma, and gaster, and then reassembled using one unwashed body section and two body sections washed in acetone, males were attracted only to the reassembled cadavers with an unwashed mesosoma. These findings suggest that (1) courtship behaviour in males of T. brochymenae is triggered by a short‐range sex pheromone produced by females; (2) the age and the physiological condition of females (virgin/mated) influence pheromone release or production; (3) the female's mesosoma is the source of the sex pheromone; and (4) polar components of the sex pheromone play a major role in influencing male behaviour. Our results suggest that quasi‐gregarious egg parasitoids are selected for short‐range rather than long‐range sex pheromones.