Population density, body size, and phenotypic plasticity of brood size in a burying beetle

Theory predicts that organisms living in heterogeneous environmentswill exhibit phenotypic plasticity. One trait that may be particularlyimportant in this context is the clutch or brood size becauseit is simultaneously a maternal and offspring characteristic.In this paper, I test the hypothesis that the burying beetle,Nicrophorus orbicollis, adjusts brood size, in part, in anticipationof the reproductive environment of its adult offspring. N. orbicollisuse a small vertebrate carcass as a food resource for theiryoung. Both parents provide parental care and actively regulatebrood size through filial cannibalism. The result is a positivecorrelation between brood size and carcass size. Adult bodysize is an important determinant of reproductive success forboth sexes, but only at higher population densities. I testthree predictions generated by the hypothesis that beetles adjustbrood size in response to population density. First, averageadult body size should vary positively with population density.Second, brood size on a given-sized carcass should be larger(producing more but smaller young) in low-density populationsthan in high-density populations. Third, females should respondadaptively to changes in local population density by producinglarger broods when population density is low and small broodswhen population density is high. All three predictions weresupported using a combination of field and laboratory experiments.These results (1) show that brood size is a phenotypically plastictrait and (2) support the idea that brood size decisions arean intergenerational phenomenon that varies with the anticipatedcompetitive environment of the offspring.     

Local resource competition and sex ratio in the ant Cataglyphis cursor

The local resource competition (LRC) hypothesis predicts thatwherever philopatric offspring compete for resources with theirmothers, offspring sex ratios should be biased in favor of thedispersing sex. In ants, LRC is typically found in polygynous(multiple queen) species where foundation of new nests occursby budding, which results in a strong population structure anda male-biased population-wide sex ratio. However, under polygyny,the effect of LRC on sex allocation is often blurred by theeffect of lowered relatedness asymmetries among colony members.Moreover, environmental factors, such as the availability ofresources, have also been shown to deeply influence sex ratioin ants. We investigated sex allocation in the monogynous (singlequeen) ant Cataglyphis cursor, a species where colonies reproduceby budding and both male and female sexuals are produced throughparthenogenesis, so that between-colony variations in relatednessasymmetries should be reduced. Our results show that sex allocationin C. cursor is highly male biased both at the colony and populationlevels. Genetic analyses indicate a significant isolation-by-distancein the study population, consistent with limited dispersal offemales. As expected from asexual reproduction, only weak variationsin relatedness asymmetry of workers toward sexual offspringoccur across colonies, and they are not associated with colonysex ratio. Inconsistent with the predictions of the resourceavailability hypothesis, the male bias significantly increaseswith colony size, and investment in males, but not in females,is positively correlated with total investment in sexuals. Overall,our results are consistent with the predictions of the LRC hypothesisto account for sex ratio variation in this species.     

Why make daughters larger? Maternal sex-allocation and sex-dependent selection for body size in a mass-provisioning wasp, Trypoxylon politum

Mass-provisioning wasps package maternal investment into broodcells, sealed structures that contain all the provisions necessaryfor an offspring's growth and development. Optimal sex-allocationtheory predicts that if maternal provisions determine the sizeof each offspring, and the amount of provisions available toeach offspring varies, females should allocate well-stockedbrood cells to the sex that benefits most from being large.I tested this hypothesis using observations of organ-pipe wasps,Trypoxylon politum, and dissections of their nests. A Mississippipopulation of T. politum was intensively studied from 1993 to1995. This population fit the assumptions of optimal sex-allocationmodels by Green and Brockmann and Grafen. Female weight at emergencewas 1.29 times that of males, and wing length was 1.15 timesthat of males. This discrepancy in size occurred because thevolume of parental provisions strongly influenced adult bodysize, and better-stocked brood cells were preferentially allocatedto daughters. Brood-cell volume correlated with both wing lengthand weight at emergence in both sexes, and the chance that agiven brood cell contained a female offspring increased withincreasing brood-cell volume. Fitness was positively relatedto body size for females, but I found no evidence of an advantageto large males. Although there was evidence of stabilizing selectionfor male wing length in one year, there was no evidence of anincreasing relationship between body size and fitness (directionalselection) for males in either 1993 or 1994. Female fecunditywas positively related to body size in both years, indicatingthat larger females have increased reproductive success. Therate at which females provisioned brood cells was also correlatedwith body size. Observed patterns of investment in brood cellsare quantitatively consistent with the predictions of optimalsex-allocation theory, but certain aspects of female provisioningbehavior suggest females are not following a single "optimal"strategy. Patterns of provisioning were variable among differentfemales at the study site during the same year. Large femalestended to produce larger offspring. Although Brockmann and Grafen'smodel predicts a single, population wide "switchpoint" fromthe production of male to female offspring, there was no evidencefor such a switchpoint     

Open-cell parasitism shapes maternal investment patterns in the Red Mason bee Osmia rufa

Brood cell parasitism inflicts high fitness costs on solitary,nest-constructing bees. Many of these parasites enter open cellsduring its provisioning, when the mother bee is absent. Therefore,females can reduce the risk of open-cell parasitism by limitingthe time they are away from the nest. However, provisioningefficiency (provisioning time per unit of progeny body mass)decreases due to aging. To limit the increasing risk of open-cellparasitism as the nesting season progresses, female bees couldoptimize their maternal investment strategy by shifting thesex ratio and the body size of offspring during the nestingseason. This prediction was tested in the Red Mason bee Osmiarufa (O. bicornis), a stem- or hole-nesting, polylectic, univoltinemegachilid bee. In O. rufa, the risk of open-cell parasitismwas found to be correlated with cell provisioning time. Additionally,the provisioning efficiency of females declined during the nestingseason to one-fourth of the initial value. However, cell-provisioningtime did not increase correspondingly. Bees dealt with theirdecreasing provisioning efficiency by reducing the amount ofstored larval food, leading to a reduction of offspring sizeand a seasonal shift toward males in the offspring sex ratio.The influence of provisioning efficiency and risk of open-cellparasitism on optimal offspring size was analyzed by means ofa statistical model. The observed maternal investment patternof Red Mason bees is an adaptive strategy to reduce open-cellparasitism.     

Antipredator defense as a limited resource: unequal predation risk in broods of an insect with maternal care

The allocation of parental investment is a potential sourceof conflict within broods whenever offspring are able obtaindifferential access to the parental resource. Unlike the provisioningof food, parental antipredator behavior is usually considereda resource that benefits all offspring simultaneously. In thethornbug treehopper (Umbonia crassicornis), offspring formaggregations in exposed positions on host-plant stems. Theyare subject to intense predation, and maternal defense is theirprimary means of protection. I examined the distribution ofrisk within these offspring groups, using natural variationin the outcome of more than 500 predation attempts (324 recordedon videotape) by vespid wasps (Pseudopolybia compressa) on18 U. crassicornis aggregations. I found three influences onan individual offspring's risk of predation. The first wasthe presence of a defending female: as expected, offspringwere much more likely to survive contact with a wasp if thefemale was present than if the female had disappeared. Thesecond influence was position relative to other offspring: when wasps were successful in removing an individual, they almostalways removed it from the edge of the group. The third influencewas distance from the female: the closer an offspring was tothe female at the time it was contacted by a wasp, the higherits likelihood of survival. The distribution of risk is determinedlargely by the behavior of defending females and the prey-searchingbehavior of wasps. The nature of risk within these aggregations sets the stage for two forms of sibling rivalry: selfish herdbehavior and competition for access to maternal defense. Italso raises the question of how a parent should allocate defenseamong offspring when it is unable to defend them all simultaneously.     

Females allocate differentially to offspring size and number in response to male effects on female and offspring fitness

Female investment in offspring size and number has been observed to vary with the phenotype of their mate across diverse taxa. Recent theory motivated by these intriguing empirical patterns predicted both positive (differential allocation) and negative (reproductive compensation) effects of mating with a preferred male on female investment. These predictions, however, focused on total reproductive effort and did not distinguish between a response in offspring size and clutch size. Here, we model how specific paternal effects on fitness affect maternal allocation to offspring size and number. The specific mechanism by which males affect the fitness of females or their offspring determines whether and how females allocated differentially. Offspring size is predicted to increase when males benefit offspring survival, but decrease when males increase offspring growth rate. Clutch size is predicted to increase when males contribute to female resources (e.g. with a nuptial gift) and when males increase offspring growth rate. The predicted direction and magnitude of female responses vary with female age, but only when per-offspring paternal benefits decline with clutch size. We conclude that considering specific paternal effects on fitness in the context of maternal life-history trade-offs can help explain mixed empirical patterns of differential allocation and reproductive compensation.     

Mothers adjust egg size to helper number in a cooperatively breeding cichlid

Mothers should adjust the size of propagules to the selectiveforces to which these offspring will be exposed. Usually, alarger propagule size is favored when young are exposed to highmortality risk or conspecific competition. Here we test 2 predictionson how egg size should vary with these selective agents. Whenoffspring are cared for by parents and/or alloparents, protectionmay reduce the predation risk to young, which may allow mothersto invest less per single offspring. In the cooperatively breedingcichlid Neolamprologus pulcher, brood care helpers protect groupoffspring and reduce the latters' mortality rate. Therefore,females are expected to reduce their investment per egg whenmore helpers are present. In a first experiment, we tested thisprediction by manipulating the helper number. In N. pulcher,helpers compete for dispersal opportunities with similar-sizedindividuals of neighboring groups. If the expected future competitionpressure on young is high, females should increase their investmentper offspring to give them a head start. In a second experiment,we tested whether females produce larger eggs when perceivedneighbor density is high. Females indeed reduced egg size withincreasing helper number. However, we did not detect an effectof local density on egg size, although females took longer toproduce the next clutch when local density was high. We arguethat females can use the energy saved by adjusting egg sizeto reduced predation risk to enhance future reproductive output.Adaptive adjustment of offspring size to helper number may bean important, as yet unrecognized, strategy of cooperative breeders.     

Fitness Consequences of Maternal Effects in Streblospio benedicti (Annelida: Polychaeta)

SYNOPSIS. The degree to which a female partitions resourcesbetween fecundity and per offspring investment is a centralquestion in life-history theory. Maternal effects may influencethe nature of this tradeoff through their effect on per offspringinvestment and subsequent offspring fitness. The purpose ofthis study was to determine the effect of female age and sizeon brood size (number of offspring), per offspring investment,and fitness in the polychaete Streblospio benedicti. Early stageembryos were collected from brooding females of known age andsize over a period of 100 days; these embryos were counted andanalyzed for their C and N content. Female size had a positiveeffect on brood size; larger females produced larger broods.However, brood size decreased with female age (females did notincrease in size after reaching sexual maturity). Brood sizedeclined 20–46% between 60 and 160 days of age. Duringthis same age period per offspring investment, measured in termsof C and N, increased by 25%. Offspring survivorship and sizeat two weeks post-release from the female were used as measuresof offspring fitness. Offspring survivorship increased 28% between60 and 160 days of age. Increased growth in offspring from olderfemales resulted in a 23% increase in offspring size at twoweeks. Including the maternal age effect in two population modelsfor S. benedicti increased population growth rate (). Populationgrowth was increased to a greater degree when the maternal effectwas modeled by enhancing offspring survival compared to whenfecundity was increased by the same proportional amount. Thissuggests that the maternal effect may be adaptive, particularlywhen conditions for offspring survival and growth are poor.     

Male brood care without paternity increases mating success

We investigate under which conditions we can expect the evolutionof costly male care for unrelated offspring, when the benefitof such care is in the form of increased mating success. Thisapplies to male helping behavior that cannot be explained aspaternal care because the male's own offspring does not benefitfrom his behavior. Our model shows that caring for others' offspringcan be a stable strategy for males, if a male that does not"help" loses mating opportunities, for example if females discriminateagainst non-helping males as mating partners. This is possiblewhen females are polyandrous. Increasing population densitydecreases the parameter region where male care is stable. Malecare is also more likely to be stable when male mortality rateis higher than that of females. We discuss the results withspecial reference to the golden egg bug Phyllomorpha laciniata,where females lay eggs on conspecifics, often on males beforemating. Males therefore carry mostly unrelated eggs. We investigatehow oviposition rate and female mating rate influences whenegg carrying is an evolutionary stable strategy. We concludethat in the golden egg bug, male egg carrying could be explainedas a form of mating investment.     

Relationship between reproductive resource allocation and resource capacity in the matriphagous spider, <Emphasis Type="Italic">Chiracanthium japonicum </Emphasis>(Araneae: Clubionidae)

Females of the Japanese foliage spider, Chiracanthium japonicum, are eaten by their offspring at the end of the maternal care period. To examine the patterns of allocation of maternal investment to their offspring associated with female resource capacity, the amounts of female body reserves accumulated before oviposition, reproductive components at the egg-production phase and those at the matriphagy phase were measured using an artificial breeding nest. Regardless of size, female bodies were completely consumed by the offspring, and larger females, i.e. those having larger reserves, produced a larger number of offspring, but not larger offspring. Furthermore, the proportion of reserves allocated to egg production was not affected by the total amount of the reserves, which indicated that the females systematically divided the resources for individual offspring between egg yolk and food for the growth and survival of the offspring. These results suggest that C. japonicum females adjust egg production to their own resource capacity so that they can achieve an investment per individual offspring which is not dependent on resource capacity. Electronic Publication     

Is fatter fitter? Body storage and reproduction in ten populations of the freshwater amphipod Gammarus minus

Relationships between body storage (estimated as fat content and residuals of body mass regressed against body length) and offspring investment [brood mass, brood size (number of embryos per brood) and embryo mass] were examined within and among populations of the amphipod Gammarus minus in ten cold springs in central Pennsylvania, USA. Two major hypotheses and six corollary hypotheses were tested. Total reproductive investment (brood mass and brood size) was usually strongly positively correlated with maternal body length and body storage both within and among populations. These positive associations between reproductive and somatic investments are expected if individual variation in resource acquisition exceeds that of resource allocation. That is, individuals or populations that are able to acquire more resources should also be able to allocate more resources to both reproduction and somatic reserves than those acquiring fewer resources. This hypothesis is consistent with evidence showing that individual differences in body storage in G. minus and other amphipods are related to differences in resource acquisition. Positive associations between reproductive and somatic investments do not mean that energy costs of reproduction do not exist in G. minus. Evidence for reproductive energy costs included the lower body-fat contents of brooding versus nonbrooding females and the relatively low body mass per length of females who had just deposited eggs in their brood pouch. Unlike brood mass and brood size, individual embryo mass was usually unrelated to maternal body length and body storage. This pattern is largely consistent with optimal offspring investment theory, which predicts that offspring size should be insensitive to variation in parental resource status. However, in contrast to theory, embryo mass increased in winter when brooding females were significantly ”fatter”, presumably due to the availability of autumn-shed leaf food. This seasonal change in offspring size may be a maternally mediated effect of increased resource availability, though other explanations are possible. Overall, this study suggests that ”fatter” female amphipods are fitter than ”thinner” ones, though both the costs and benefits of increased body storage and brood size require investigation to substantiate this claim. This study also suggests that effects of individual variation in resource acquisition on life-history patterns deserve more theoretical and empirical attention by ecologists than they have received. It should be recognized that positive and/or nonsignificant correlations between life-history traits are just as interesting and important as are the negative correlations predicted by many theoretical models. Received: 20 January 1999 / Accepted: 26 September 1999     

Differences in parental food allocation rules: evidence for sexual conflict in the blue tit?

Evolutionary conflicts of interest between family members areexpected to influence patterns of parental investment. In altricialbirds, despite providing the same kind of parental care, patternsof investment in different offspring can differ between parents,a situation termed parentally biased favoritism. Previous explanationsfor parentally biased favoritism have received mixed theoreticaland empirical support. Here, we test the prediction that inblue tits, Cyanistes caeruleus, females bias their food allocationrules to favor the smallest offspring during the nestling stage.By doing so, females could increase the subsequent amount ofpaternal care supplied by their partner during the fledgingperiod, as a previous study showed that males feed the largestfledglings. When size differences within the brood are lesspronounced, all offspring will require similar amounts of postfledgingcare, and thus, the male parent will lose the advantage of caringfor the largest offspring that are closest to independence.In this study, we controlled the hunger of the smallest andlargest nestlings in the brood and compared the food allocationrules of the 2 parents. We found that the male parent had astronger preference than the female to feed the closest nestlingsand made no distinction between nestlings based on size, whereasthe female provisioned small hungry nestlings more when theywere at intermediate distances from her. These differences inparental food allocation rules are consistent with predictionsbased on sexual conflict over postfledging parental investment.     

Sex-biased terminal investment in offspring induced by maternal immune challenge in the house wren (Troglodytes aedon)

The reproductive costs associated with the upregulation of immunity have been well-documented and constitute a fundamental trade-off between reproduction and self-maintenance. However, recent experimental work suggests that parents may increase their reproductive effort following immunostimulation as a form of terminal parental investment as prospects for future reproduction decline. We tested the trade-off and terminal investment hypotheses in a wild population of house wrens (Troglodytes aedon) by challenging the immune system of breeding females with lipopolysaccharide, a potent but non-lethal antigen. Immunized females showed no evidence of reproductive costs; instead, they produced offspring of higher phenotypic quality, but in a sex-specific manner. Relative to control offspring, sons of immunized females had increased body mass and their sisters exhibited higher cutaneous immune responsiveness to phytohaemagglutinin injection, constituting an adaptive strategy of sex-biased allocation by immune-challenged females to enhance the reproductive value of their offspring. Thus, our results are consistent with the terminal investment hypothesis, and suggest that maternal immunization can induce pronounced transgenerational effects on offspring phenotypes.     

Mate feeding, offspring investment, and sexual differences in katydids (Orthoptera: Tettigoniidae)

Food stress in the katydid Requena veriicalis (Orthoptera: Tettigoniidae)decreases the relative availability of males able to supplynutritious spermatophores to females and increases the valueof the male courtship meal (i.e., relative male parental investment).These changes cause female sexual competition in katydid populations.Here we examine the effect of food stress on male and femaleinvestment in single offspring and test the prediction thatmale-derived nutrients in eggs increase relative to nutrientsfrom the female's reserves. We varied the diet of female R.veriicalis and determined the fate of nutrients from male andfemale sources using I4C and 3H radiolabeled amino acids. Low-dietfemales retained more nutrients from male and female sourcesin somatic tissues and invested less in reproduction both becausethey produced fewer eggs and because they invested less peroffspring (egg) than females maintained on a high-quality diet.Moreover, opposite to our prediction, relative male investmentin individual eggs decreased in foodstressed females; femalesretained more nutrients in somatic tissues from the male sourcethan the female source. Food-stressed females may retain nutrientreserves, particularly those from the male, as an adaptive trategyfor immediate survival needs and future reproduction. Such afemale strategy is unlikely to compromise male reproductivesuccess; first-male sperm precedence means that males matingwith virgin females are likely to father most eggs laid, evenin future reproductive bouts. The decrease in male investmentin eggs of low-diet females does not conflict with the contentionthat relative parental investment controls male intrasexualcompetition because, in mate-feeding species, male investmentinfluencing this competition includes more than investment incurrent offspring; females should compete for males if courtshipgifts aid survival and later reproduction.     

Effects of breeding site density on competition and sexual selection in the European lobster

The availability of breeding sites has been predicted to affectthe intensity of sexual selection, including mate competition,mate choice and ultimately, variation in mating success. Wetested the hypothesis that reduced density of shelters wouldcause an increase in the intensity of sexual selection in Europeanlobsters, Homarus gammarus. However, we found little supportfor our predictions. For example, within-sex competition bymales and by females was not more intense when shelters werescarce. Indeed, females attempted to evict one another fromshelters significantly more often when shelters were common.When shelters were abundant, shelter-holding males had greatermating success than males without shelters, yet females didnot show more interest towards these males during courtshipencounters. Mate attraction was more strongly related to largemale body size when shelters were scarce. Overall, the resultssuggest that reduced shelter density does not lead to more overtwithin-sex aggression in this species. Instead, we suggest thatimpacts of breeding resource availability on sexual selectionmay depend on the range over which resources are measured, withextreme scarcity of shelters rendering overt competition uneconomical.Furthermore, females may become more selective of male traitssuch as large size, which enhance male control of breeding sitesand hence protection of females.     

Offspring size-number trade-offs in scorpions: an empirical test of the van Noordwijk and de Jong model

Abstract Life-history traits are expected to exhibit negative phenotypic trade-offs, but often do not. In a seminal paper, van Noordwijk and de Jong (1986) provided an answer to this seeming paradox. According to their model, trade-offs will be more difficult to detect if variation in resource acquisition (or investment) is high relative to variation in resource allocation to the traits under consideration. Despite its influence on subsequent life-history studies, this model has rarely been tested. I use data from 10 species of scorpion (a total of 30 datasets, including multiple populations or years for some species) to test the van Noordwijk-de Jong model as modified to examine the relationship between offspring size and number. For both the overall data and a subset, including only the species Centruroides vittatus , I found that the correlation between offspring size and number within a population was significantly negatively correlated with the ratio of allocation variance to investment variance. That is, strong trade-offs were found when the investment variance was low relative to the allocation variance. These results were robust to the particular measure of offspring size and to whether offspring data were adjusted for female size variation. My results therefore provide strong evidence in support of the van Noordwijk and de Jong model.     

Maternal effects on offspring size in a natural population of the viviparous tsetse fly

1. Theory predicts that mothers should adaptively adjust reproductive investment depending on current reserves and future reproductive opportunities. Females in better intrinsic state, or with more resources, should invest more in current reproduction than those with fewer resources. Across the lifespan, investment may increase as future reproductive opportunities decline, yet may also decline with reductions in intrinsic state. 2. Across many species, larger mothers produce larger offspring, but there is no theoretical consensus on why this is so. This pattern may be driven by variation in maternal state such as nutrition, yet few studies measure both size and nutritional state or attempt to tease apart confounding effects of size and age. 3. Viviparous tsetse flies (Glossina species) offer an excellent system to explore patterns of reproductive investment: females produce large, single offspring sequentially over the course of their relatively long life. Thus, per‐brood reproductive effort can be quantified by offspring size. 4. While most tsetse reproduction research has been conducted on laboratory colonies, maternal investment was investigated in this study using a unique field method where mothers were collected as they deposited larvae, allowing simultaneous mother‐offspring measurements under natural conditions. 5. It was found that larger mothers and those with a higher fat content produced larger offspring, and there was a trend for older mothers to produce slightly larger offspring. 6. The present results highlight the importance of measuring maternal nutritional state, rather than size alone, when considering maternal investment in offspring. Implications for understanding vector population dynamics are also discussed.     

Using potential reproductive rates to predict mating competition among individuals qualified to mate

The potential reproductive rate (PRR), which is the offspringproduction per unit time each sex would achieve if unconstrainedby mate availability, often differs between the sexes. An increasingsexual difference in PRR predicts an intensified mating competitionamong the sex with the higher PRR. The use of PRR can providedetailed predictions of when, where, and how the intensityin mating competition and hence sexual selection will vary.Previous models have focused on the "time out" from mate searchingas a major component of PRR. Here, we suggest some improvementsand clarifications: in a population where individuals haveto compete for specific resources that are prerequisites formating (e.g., nest sites), individuals unable to obtain sucha resource will not qualify to mate. We suggest how a conceptof the ratio of males and females qualified to mate, Q, canimprove previous models designed to use the sexual differencein PRR to estimate the operational sex ratio (OSR). Further,when estimating the sexual difference in PRR of a population,it is important that each sex is given free access to matingpartners. Jointly, this provides an empirical approach basedon estimates of Q and the sexual difference in PRR.     

Survival costs of reproduction predict age-dependent variation in maternal investment

Life-history theory predicts that older females will increase reproductive effort through increased fecundity. Unless offspring survival is density dependent or female size constrains offspring size, theory does not predict variation in offspring size. However, empirical data suggest that females of differing age or condition produce offspring of different sizes. We used a dynamic state-variable model to determine when variable offspring sizes can be explained by an interaction between female age, female state and survival costs of reproduction. We found that when costs depend on fecundity, young females with surplus state increase offspring size and reduce number to minimize fitness penalties. When costs depend on total reproductive effort, only older females increase offspring size. Young females produce small offspring, because decreasing offspring size is less expensive than number, as fitness from offspring investment is nonlinear. Finally, allocation patterns are relatively stable when older females are better at acquiring food and are therefore in better condition. Our approach revealed an interaction between female state, age and survival costs, providing a novel explanation for observed variation in reproductive traits.     

Offspring size-number strategy in the bethylid parasitoid Laelius pedatus

I observed clutch size and body size of resulting offspringfor the parasitoid Laelies pedatus (Say) (Hymenoptera: Bethylidae)on hosts of different sizes. Results were compared with thepredictions of offspring size-number models and clutch-sizemodels. Larger clutches were laid on larger hosts. However,even after females had adjusted dutch size to the size of thehost, offspring size was larger in larger broods. The variancein offspring size between broods decreased with increasing dutchsize as expected, but the decrease was smaller than predictedby Charaov and Downhower's trade-off invariant rule. Theorypredicts such trends when the shape of the trade-off betweenper capita investment and per capita offspring fitness dependson dutch size or host size. By observing how this assumptionmight apply to bethylid wasps, I generate a number of testablehypotheses to explain the observed trends.