Can the extremely female‐biased sex ratio of the social spider mites be explained by Hamilton’s local mate competition model?

Abstract.  1. Extremely female-biased sex ratios are known in the social spider mite species, Stigmaeopsis longus and S. miscanthi . Whether Hamilton's local mate competition (LMC) theory can explain such sex ratios was investigated.
2. Significant changes of the progeny sex ratios in the direction predicted by the LMC model were found in both species when the foundress number changed. Therefore, LMC can partly explain the skewed sex ratios in these species.
3. When the foundress number increased, the progeny sex ratio was still female biased and significantly different from the prediction of the LMC model for haplodiploidy. Relatedness between foundresses could not fully explain the female-biased sex ratios. Therefore, these results suggest that there are factors other than LMC skewing the sex ratios of these species toward female.     

The continuous public goods game and the evolution of cooperative sex ratios

Some animals, such as Melittobia wasps and surface-living mites, have extremely female-biased sex ratios that cannot be explained by the existing local mate competition (LMC) theories. The restricted production of sons may entail cooperation among mothers, enabling the production of more daughters and avoiding severe competition among sons for insemination access. These unusual examples are characterized by the long-term cohabitation of egg-layers (foundresses) on resource patches and possible contact with oviposited eggs. By applying the logic of mutual policing, we develop a novel game theoretical model for the evolution of cooperation in sex-ratio traits. This is the first attempt to model the evolution of sex ratios based on iterated games. We assumed that foundresses have two abilities to enable mutual policing: they can monitor the sex ratio in the resource patch, and they can punish defectors that produce an overabundance of males. Numerical analysis and evolutionary simulations demonstrate that cooperative low sex ratios can evolve when the number of foundresses per patch is sufficiently small. Our model predicts a slight, but steady increase in oviposition sex ratios with an increase in the number of foundresses, which mimics the phenomenon observed in several animals with extremely female-biased sex ratios. We also discuss the relationship between our model and other models of sex-ratio evolution.     

Stochastic effects in LMC models.

LMC (local mate competition) was first introduced by W. D. Hamilton to explain extraordinary female-biased sex ratios observed in a variety of insects and mites. In the original model, the population is subdivided into an infinite number of colonies founded by a fixed number of inseminated females producing the same very large number of offspring. The male offspring compete within the colonies to inseminate the female offspring and then these disperse at random to found new colonies. An unbeatable sex ratio strategy is found to be female-biased. In this paper, the effects of having colonies of random size and foundresses producing a random finite number of offspring are considered. The exact evolutionarily stable strategy (ESS) sex ratio is deduced and comparisons with previous approximate or numerical results are made. As the mean or the variance of brood size increases, the ESS sex ratio becomes more female-biased. An increase in the variance of colony size increases the ESS proportion of males when the mean brood size and colony size are both small, but decreases this proportion when the mean brood size or the mean colony size is large.     

Quantitative tests of sex ratio models in a pollinating fig wasp

Pollinating fig wasps are often used to study sex ratio evolution in structured mating populations. Theory predicts a female-biased sex ratio, becoming less female biased as female (foundress) density increases. We usedLiporrhopalum tentacularis to test two mechanisms of sex ratio control when foundresses oviposit simultaneously: (1) foundresses facultatively adjust the number of males in clutches, and (2) they produce the same number of males regardless of clutch size, which, given limited numbers of oviposition sites, would lead to increases in sex ratio with increasing density. We then examined whether foundresses can oviposit sequentially into figs. When oviposition was simultaneous, brood composition indicated facultative adjustment, although sex ratios were more female biased than predicted. Instead, foundresses appeared to adjust their sex ratio in response to both others ovipositing and their own fecundity. We also found that foundresses are able to oviposit completely sequentially, with those arriving second adjusting their sex ratio in response to the previous oviposition. Hence, pollinating wasps may fail to fit the predictions of classical sex ratio theory because the conditions under which foundresses oviposit, and their responses to changes in such conditions, are more complex than once assumed. Copyright 2002 The Association for the Study of Animal Behaviour. Published by Elsevier Science Ltd. All rights reserved.     

Co‐foundress confinement elicits kinship effects in a naturally sub‐social parasitoid

Kinship among interacting individuals is often associated with sociality and also with sex ratio effects. Parasitoids in the bethylid genus Goniozus are sub‐social, with single foundress females exhibiting post‐ovipositional maternal care via short‐term aggressive host and brood defence against conspecific females. Due to local mate competition (LMC) and broods normally being produced by a single foundress, sex ratios are female‐biased. Contests between adult females are, however, not normally fatal, and aggression is reduced when competing females are kin, raising the possibility of multi‐foundress reproduction on some hosts. Here, we screen for further life‐history effects of kinship by varying the numbers and relatedness of foundresses confined together with a host resource and also by varying the size of host. We confined groups of 1–8 Goniozus nephantidis females together with a host for 5+ days. Multi‐foundress groups were either all siblings or all nonsiblings. Our chief expectations included that competition for resources would be more intense among larger foundress groups but diminished by both larger host size and closer foundress relatedness, affecting both foundress mortality and reproductive output. From classical LMC theory, we expected that offspring group sex ratios would be less female‐biased when there were more foundresses, and from extended LMC theory, we expected that sex ratios would be more female‐biased when foundresses were close kin. We found that confinement led to the death of some females (11% overall) but only when host resources were most limiting. Mortality of foundresses was less common when foundresses were siblings. Developmental mortality among offspring was considerably higher in multi‐foundress clutches but was unaffected by foundress relatedness. Groups of sibling foundresses collectively produced similar numbers of offspring to nonsibling groups. There was little advantage for individual females to reproduce in multi‐foundress groups: single foundresses suppressed even the largest hosts presented and had the highest per capita production of adult offspring. Despite single foundress reproduction being the norm, G. nephantidis females in multi‐foundress groups appear to attune sex allocation according to both foundress number and foundress relatedness: broods produced by sibling foundresses had sex ratios similar to broods produced by single foundresses (ca. 11% males), whereas the sex ratios of broods produced by nonsibling females were approximately 20% higher and broadly increased with foundress number. We conclude that relatedness and host size may combine to reduce selection against communal reproduction on hosts and that, unlike other studied parasitoids, G. nephantidis sex ratios conform to predictions of both classical and extended LMC theories.     

Egg load is a cue for offspring sex ratio adjustment in a fig‐pollinating wasp with male‐eggs‐first sex allocation

Fig‐pollinating wasps (Agaonidae) only reproduce within fig tree inflorescences (figs). Agaonid offspring sex ratios are usually female‐biased and often concur with local mate competition theory (LMC). LMC predicts less female‐bias when several foundresses reproduce in a fig due to reduced relatedness among intra‐sexually competing male offspring. Clutch size, the offspring produced by each foundress, is a strong predictor of agaonid sex ratios and correlates negatively with foundress number. However, clutch size variation can result from several processes including egg load (eggs within a foundress), competition among foundresses and oviposition site limitation, each of which can be used as a sex allocation cue. We introduced into individual Ficus racemosa figs single Ceratosolen fusciceps foundresses and allowed each to oviposit from zero to five hours thus variably reducing their eggs‐loads and then introduced each wasp individually into a second fig. Offspring sex ratio (proportion males) in second figs correlated negatively with clutch size, with males produced even in very small clutches. Ceratosolen fusciceps lay mainly male eggs first and then female eggs. Our results demonstrate that foundresses do not generally lay or attempt to lay a ‘fixed’ number of males, but do ‘reset to zero’ their sex allocation strategy on entering a second fig. With decreasing clutch size, gall failure increased, probably due to reduced pollen. We conclude that C. fusciceps foundresses can use their own egg loads as a cue to facultatively adjust their offspring sex ratios and that foundresses may also produce more ‘insurance’ males when they can predict increasing rates of offspring mortality.     

母体亲缘关系在杨氏榕树金小蜂后代性比调节中的作用

局域配偶竞争(local mate competition, LMC)理论问世以来在很多方面获得了发展,其中一个观点就是相互作用的繁殖母体之间的亲缘关系越近,后代性比越低,即产生更多的雌性后代。本研究以西双版纳广泛分布的钝叶榕Ficus curtipes上寄生的非传粉小蜂杨氏榕树金小蜂Diaziella yangi为研究对象,研究在同一榕果上产卵的繁殖雌蜂之间的亲缘关系对后代性比的影响。处理1：在同一榕果产卵的2头繁殖雌蜂来自蜂源1号树的同一个榕果;处理2：在同一榕果产卵的2头繁殖雌蜂来自蜂源2号树的同一个榕果,处理3：在同一榕果上产卵的2头繁殖蜂分别来自1、2号蜂源树。实验结果却显示出与理论预测值不一致。实验结果中,具有姐妹关系的2头繁殖雌蜂的2个处理的后代性比分别为0.195±0.028和0.189±0.043;亲缘关系较远的2头繁殖雌蜂的后代性比为0.240±0.030;不同处理的后代性比并没有显著差异。说明杨氏榕树金小蜂没有识别相互作用的繁殖雌蜂之间的亲缘关系以及据此调整后代性比的能力,这与其他大量研究 结果一致。     

Factors affecting female-biased sex ratio in a trap-nesting wasp, Trypoxylon malaisei

We examined the female-biased sex ratio of a trap-nesting wasp Trypoxylon malaisei considering the following factors: (1) local mate competition (LMC), (2) resource quality, (3) partial bivoltinism, and (4) presence of constrained females. The sex ratio (expressed as male ratio) at emergence was strongly female biased, i.e., 0.30 and 0.19, in terms of the number and investment, respectively. To evaluate the primary sex ratio, we analyzed the data from nests where all the offspring successfully emerged, excluding nests composed of single-sex offspring. The primary sex ratio was also female biased, at 0.33 and 0.21, in terms of the number and investment, respectively. LMC was highly responsible for the female-biased sex ratio because both the nonrandom oviposition sequence [females at inner cells and male(s) at outer cells] and earlier emergence of males allowed sib-matings to occur. In contrast, the other three factors little affected the female-biased sex ratio: the sex ratio was fairly constant when resource quality (nest size) varied, partial bivoltinism was extremely rare or absent, and constrained females were absent or did not reproduce at all. Received: June 19, 1998 / Accepted: January 18, 1999     

Impact of competition on sex allocation by Trichogramma

Hymenopteran parasitoids change their sex ratio following different factors. One of these factors is the exploitation of a host patch by several females. The Local Mate Competition (LMC) model ( Hamilton, 1967 ) states that when there are many foundresses on a patch, they should lay a higher sex ratio. The impact of both intra‐ and interspecific competition on sex allocation was measured in two egg parasitoids, Trichogramma minutum Riley and T. pintoi Voegele (Hymenoptera: Trichogrammatidae), by comparing the sex ratio deposited by females exploiting host patches alone and in groups. Results showed that the sex ratio deposited by both species was higher when in groups, as predicted by the LMC model. When the sex ratio produced was compared between females either alone or in interspecific groups, T. minutum females deposited the same sex ratio, while T. pintoi produced more sons when in interspecific groups than when alone. These results are discussed following their natural habitat and their discrimination abilities.     

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.     

Female-biased sex allocation in wild populations of the eriosomatine aphid Prociphilus oriens: local mate competition or transgenerational effects of maternal investment?

Several aphid species exhibit female-biased sex allocation. Local mate competition (LMC) has been postulated to be the evolutionary factor of the female-biased sex allocation. We estimated individual sex allocation in the eriosomatine aphid Prociphilus oriens and explained the observed pattern of sex allocation based on a hypothesis other than LMC. On the basis of the relationship between maternal body size and brood size, we estimated the cost of producing a female to be 1.85 times the cost of producing a male. The population-wide allocation to males was 22–24 %. Winged mothers exhibited a large variation in the number of male and female embryos they had, including 23–30 % of winged mothers producing only female embryos. There was polymorphism in the sex-ratio expression. Thus, the constant male hypothesis assuming LMC was not supported. Winged mothers that produced an all-female brood contained larger female embryos than did mothers that produced a bisexual brood. Previous studies have indicated that a large sexual female produces a single large egg, which hatches into a first-instar larva containing a larger amount of gonads. Thus, in eriosomatine aphids, maternal investment in daughters directly affects the potential fecundity of granddaughters, whereas investment in sons does not. We propose a hypothesis that higher fitness returns from maternal investment in daughters than in sons may have primarily led to the evolution of highly female-biased sex allocation in P. oriens.     

母代雌蜂数、进果时间及非传粉小蜂对传粉榕小蜂后代数量及性比的影响

【目的】对性比的研究有助于我们理解自然界生物的选择压力及其所产生的原因和结果,榕树和榕小蜂之间的互惠共生关系以及生物学和生态学特性使其成为研究性比和局域配偶竞争模型（local mate competition）的理想材料。本研究旨在探明榕小蜂性比调节和进化机制。【方法】对分布于西双版纳地区的鸡嗉子榕Ficus semicordata进行了人工控制性放蜂实验。测定了母代雌蜂数量及其进果时间间隔、非传粉小蜂Sycoscapter trifemmensis数量对传粉榕小蜂Ceratosolen gravelyi后代数量（成蜂数量）和性比的影响,并分析了小蜂后代数量和性比的相关性。【结果】在榕果发育期一致的前提下,随着母代雌蜂数量的增加,每头雌蜂的平均后代数量明显下降(P<0.001),后代性比显著升高(P<0.001),后代数量和性比呈显著负相关(P<0.05);随着雌蜂进果间隔的延长,后代数量亦呈现下降趋势,且性比增大,放2头雌蜂和3头雌蜂的处理呈同样趋势,但差异均不显著(P=0.87; P=0.49),小蜂后代数量与性比无显著相关性(P=0.86)。此外,非传粉小蜂数量与传粉小蜂后代数量呈显著负相关(P<0.001),与传粉小蜂性比呈正相关(P<0.001),小蜂后代数量和性比同样呈现显著负相关(P<0.001)。【结论】本实验模拟了自然界中榕 蜂的相互作用,所得结果有助于我们理解自然状态下榕小蜂性比调节模式和机制,以及榕 蜂互利共生系统的进化机制。     

Sex ratio strategies and the evolution of cue use

Quantitative tests of sex allocation theory have often indicated that organism strategies deviate from model predictions. In pollinating fig wasps, Lipporrhopalum tentacularis, whole fig (brood) sex ratios are generally more female-biased than predicted by local mate competition (LMC) theory where females (foundresses) use density as a cue to assess potential LMC. We use microsatellite markers to investigate foundress sex ratios in L. tentacularis and show that they actually use their clutch size as a cue, with strategies closely approximating the predictions of a new model we develop of these conditions. We then provide evidence that the use of clutch size as a cue is common among species experiencing LMC, and given the other predictions of our model argue that this is because their ecologies mean it provides sufficiently accurate information about potential LMC that the use of other more costly cues has not evolved. We further argue that the use of these more costly cues by other species is due to the effect that ecological differences have on cue accuracy. This implies that deviations from earlier theoretical predictions often indicate that the cues used to assess environmental conditions differ from those assumed by models, rather than limits on the ability of natural selection to produce "perfect" organisms.     

Sex ratios under asymmetrical local mate competition: theory and a test with parasitoid wasps

Sex ratio theory allows unparalleled opportunities for testing how well animal behavior can be predicted by evolutionary theory. For example, Hamilton's theory of local mate competition (LMC) is well understood and can explain variation in sex allocation across numerous species. This allows more specific predictions to be developed and tested. Here we extend LMC theory to a situation that will be common in a range of species: asymmetrical LMC. Asymmetrical LMC occurs when females lay eggs on a patch asynchronously and male offspring do not disperse, leading to relatively weaker LMC for males emerging from later broods. Varying levels of LMC then lead to varying optimal sex ratios for females, depending on when and where they oviposit. We confirm the assumptions of our theory using the wasp Nasonia vitripennis and then test our predictions. We show that females adjust their offspring sex ratios in the directions predicted, laying different sex ratios on different hosts within a patch. Specifically, there was a less female-biased sex ratio when ovipositing on an unparasitized host if another host on the patch had previously been parasitized and a less female-biased sex ratio on parasitized hosts if females also oviposited on an unparasitized host.     

Biology of two members of the Euwallacea fornicatus species complex (Coleoptera: Curculionidae: Scolytinae), recently invasive in the U.S.A., reared on an ambrosia beetle artificial diet

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The mechanism of sex ratio adjustment in a pollinating fig wasp

Sex ratio strategies in species subject to local mate competition (LMC), and in particular their fit to quantitative theoretical predictions, provide insight into constraints upon adaptation. Pollinating fig wasps are widely used in such studies because their ecology resembles theory assumptions, but the cues used by foundresses to assess potential LMC have not previously been determined. We show that Liporrhopalum tentacularis females (foundresses) use their clutch size as a cue. First, we make use of species ecology (foundresses lay multiple clutches, with second clutches smaller than first) to show that increases in sex ratio in multi-foundress figs occur only when foundresses are oviposition site limited, i.e. that there is no direct response to foundress density. Second, we introduce a novel technique to quantify foundress oviposition sequences and show, consistent with the theoretical predictions concerning clutch size-only strategies, that they produce mainly male offspring at the start of bouts, followed by mostly females interspersed by a few males. We then discuss the implications of our findings for our understanding of the limits of the ability of natural selection to produce 'perfect' organisms, and for our understanding of when different cue use patterns evolve.     

对叶榕传粉小蜂性比率的调节和稳定

传粉榕小蜂呈现偏雌的性比率,单双倍体性别决定系统、局域配偶竞争和近交效应被认为是调节偏雌性比率的3个主要机制。通过研究影响对叶榕传粉小蜂性比率的因素,结果表明传粉榕小蜂的偏雌性比率随局域配偶竞争强度的降低而增加;受母代雌蜂交配次数的影响,随着母代雌蜂交配次数的增加,子代的偏雌性比率逐渐降低,这一结果首次揭示了传粉榕小蜂的交配制次数对性比率的影响,并在个体水平上定量了性比率变异与雌蜂交配频次的关系。传粉小蜂的性比率与共生的非传粉小蜂的关系,非传粉小蜂的介入直接减少了传粉小蜂的数量,甚至对传粉小蜂的种群有显著影响,结果发现非传粉小蜂对传粉小蜂雌雄性的分配比率没有显著影响,传粉榕小蜂仍能正常地进行繁殖。传粉与非传粉者小蜂之间作用关系的确定,可为进一步理解两者的稳定共生的机制提供科学证据。     

Sex ratio variation and spatial segregation of the sexes in populations ofRumex acetosa andR. acetosella (Polygonaceae)

Populations ofRumex acetosa andR. acetosella were studied during two growth seasons. The ramet sex ratios ofR. acetosa were always female-biased. InR. acetosella the sex ratios expressed more variation but were mostly female-biased. In both species the sex ratios commonly varied between subpopulations reflecting a partial spatial segregation of the sexes. No marked differences between sexes in vegetative vigour were detected in either species. Interactions between sex ratios, various soil characteristics and population densities were determined. Possible mechanisms for causing biased sex ratios and partial spatial segregation of the sexes are discussed.     

Sex allocation of three solitary ectoparasitic wasp species on bean weevil larvae: Sex ratio change with host quality and local mate competition

Sex ratio manipulation by ovipositing females was surveyed in 3 solitary ectoparastic wasp species,Dinarmus basalis (Pteromalidae),Anisopteromalus calanrae (Pteromalidae), andHeterospilus prosopidis (Braconidae), that parasitize azuki bean weevil (Callosobruchus chinensis (L) (Coleoptera: Buruchidae)) larvae within azuki beans (Vigna angularis). Variables were local mate competition (LMC) and host quality (HQ). We used host age as a measure of host quality (from 9-to 16-day-old hosts), changed the number of ovipositing females to control the level of local mate competition (1 female and 10 females), and examined oviposition patterns of the wasps. The offspring sex ratios (proportion of females) of the 3 wasp species respond qualitatively same to HQ and LMC. The common qualitative tendency among the 3 species is an increase of sex ratios increase with host age. In the process of changing the sex ratio (9–13-day-old) 3 wasp species respond only to HQ. In the hosts that end development in size (14–16-day-old) wasps respond to LMC. The response of sex ratio change to LMC in the old host ageclasses are different among the 3 species. In the situation that there exists LMC (10 females) sex ratios are the same among the 3 wasps. However, the sex ratios in no LMC (single female) are heterogeneous among the 3 wasps.     

Genetic structure of natural Nasonia vitripennis populations: validating assumptions of sex-ratio theory

The parasitic wasp Nasonia vitripennis has been used extensively in sex allocation research. Although laboratory experiments have largely confirmed predictions of local mate competition (LMC) theory, the underlying assumptions of LMC models have hardly been explored in nature. We genotyped over 3500 individuals from two distant locations (in the Netherlands and Germany) at four polymorphic microsatellite loci to validate key assumptions of LMC theory, in terms of both the original models and more recent extensions to them. We estimated the number of females contributing eggs to patches of hosts and the clutch sizes as well as sex ratios produced by individual foundresses. In addition, we evaluated the level of inbreeding and population differentiation. Foundress numbers ranged from 1 to 7 (average 3.0 ± 0.46 SE). Foundresses were randomly distributed across the patches and across hosts within patches, with few parasitizing more than one patch. Of the hosts, 40% were parasitized by more than one foundress. Clutch sizes of individual foundresses (average 9.99 ± 0.51 SE) varied considerably between hosts. The time period during which offspring continued to emerge from a patch or host correlated strongly with foundress number, indicating that sequential rather than simultaneous parasitism is the more common. Genetic differentiation at the regional level between Germany and the Netherlands, as estimated by Slatkin's private allele method (0.11) and Hedrick's corrected G' _LT (0.23), indicates significant substructuring between regions. The level of population inbreeding for the two localities ( F _IL = 0.168) fitted the expectation based on the average foundress number per patch.