Bateman's Principle and Simultaneous Hermaphrodites: A Paradox

Bateman's principle states that reproductive success is limiteda) in females by the resources available for egg production;and b) in males, only by access to females and/or eggs. Theprinciple has been used to generate predictions for two aspectsof hermaphroditism; a) the advantage of hermaphroditism andb) sexual conflict. Comparing these predictions to the empiricaldata offers tests of Bateman's principle. Charnov's predictionthat hermaphroditism would occur under circumstances where Bateman'sprinciple does not apply is found to be largely correct. However,the prediction as to the association of hermaphroditism andlow fixed costs is inconsistent with the data. Alternative explanationsthat predict that hermaphroditism is a strategy for reducingvariance in reproductive success may better explain the data.Probability theory demonstrates that where two strategies haveequal mean fitness, which must be the case for male and femalefunction, the strategy with the lower variance in reproductivesuccess must have higher fitness (Gillespie's principle). Bateman'sprinciple predicts that this will be the female role in hermaphrodites.However, Charnov, assuming Bateman's principle, predicted thatsexual conflict stemming from a preference for the male rolewould be important in hermaphrodite mating systems, creatinga paradox. Many hermaphrodite mating systems are based on conditionalreciprocity with a preferred sexual role indicating sexual conflict.The data demonstrate that the preferred role varies among taxa,contrary to the predictions of Bateman's principle. It has beensuggested that Bateman's principle can explain cases in whichthe female role is preferred (sperm-trading) as involving energyrather than gamete trading. However, energetic considerationssuggest that energy trading would only be adaptive if Bateman'sprinciple does not apply, paradoxically. The gamete tradingmodel, based on the prediction that the role that offers controlof fertilization will be preferred, is more consistent withthe data. Application of Bateman's principle to hermaphroditesleads to contradictory predictions and does not offer the basisfor a coherent theory of sexual selection, as Bateman proposed.     

Optimal sex allocation under pollen limitation

Most flowering plants are simultaneous hermaphrodites. Within species and even within local populations, sex allocation is usually highly plastic. Here, we link pollen sufficiency to the size of pollen-exchanging groups (i.e., pollen neighborhoods) and to pollen transfer efficiency, using an individual-based game-theoretic framework to determine the stable distribution of sex allocation that does not require the unrealistic assumption of infinitely large, panmictic populations. In the absence of selfing, we obtain the novel result that pollen limitation destabilizes hermaphroditism and favors separate sexes, whereas hermaphroditism remains stable without pollen limitation. With mixed mating, hermaphroditism is stable except when the fitness value of selfed offspring is less than half that of outcrossed offspring (i.e., strong inbreeding depression). In that case, the size of pollen neighborhoods, pollen transfer efficiencies, and the relative fitness of selfed offspring determine whether separate sexes or hermaphroditism is the stable outcome. The model thus predicts that separate sexes can derive from either of two ancestral states: obligate outcrossing under pollen limitation, or mixed mating (competing self-fertilization) under severe inbreeding depression. It also predicts conditions under which variance in sex-allocation among hermaphrodites within pollen exchanging groups along a gradient of pollen limitation can range from high (dioecy) to near zero (equal proportions of male and female investment).     

A measure of sexual selection in hermaphroditic animals: parentage skew and the opportunity for selection

The role of sexual selection in shaping the mating system of hermaphrodites is currently widely accepted. However, a quantification of the intensity of sexual selection in hermaphroditic animals has never been accomplished. We evaluated the opportunity for sexual selection for both the female and the male functions in the simultaneous outcrossing hermaphrodite Ophryotrocha diadema by measuring focal hermaphrodites' paternal and maternal offspring in experimental replicated monogamous and promiscuous populations, using genetic markers to estimate paternity. Opportunity for sexual selection for each of the two sexual functions was quantified by means of the Crow's index, i.e. the ratio of variance in progeny number to the squared mean number of progeny. In addition, the extent to which the reproductive success was shared among competing individuals was estimated by means of the Nonacs's B index. We documented that the strength of selection on the male and female function in hermaphrodites with external fertilization depends on the reproductive context. Under a promiscuous regime, hermaphrodites have higher opportunities for selection for both the male and the female function than under the monogamous regime. Moreover, the reproductive skew for the female function becomes greater than that for the male function, moving from monogamy to promiscuity. In our model system, allocation to one sexual function is opposed by any degree of allocation to the other, indicating that sex-specific patterns of selection operate in this model species.     

The Hermaphrodite's Dilemma

Given sexual conflict, mating encounters between simultaneous hermaphrodites will conform to a new, conditional, non-zero sum game of strategy, the Hermaphrodite's Dilemma; special cases of which include Prisoner's Dilemma and Game of Chicken. The model predicts that hermaphrodite mating systems will be based on reciprocation with cheating in a preferred sexual role. This model suggests that study of hermaphrodite mating systems will provide direct evidence for the existence of sexual conflict and suggests that sexual conflict may act to stabilize hermaphroditism through such mating systems.     

How multiple mating by females affects sexual selection

Multiple mating by females is widely thought to encourage post-mating sexual selection and enhance female fitness. We show that whether polyandrous mating has these effects depends on two conditions. Condition 1 is the pattern of sperm utilization by females; specifically, whether, among females, male mating number, m (i.e. the number of times a male mates with one or more females) covaries with male offspring number, o. Polyandrous mating enhances sexual selection only when males who are successful at multiple mating also sire most or all of each of their mates'' offspring, i.e. only when Cov_♂(m,o), is positive. Condition 2 is the pattern of female reproductive life-history; specifically, whether female mating number, m, covaries with female offspring number, o. Only semelparity does not erode sexual selection, whereas iteroparity (i.e. when Cov_♀(m,o), is positive) always increases the variance in offspring numbers among females, which always decreases the intensity of sexual selection on males. To document the covariance between mating number and offspring number for each sex, it is necessary to assign progeny to all parents, as well as identify mating and non-mating individuals. To document significant fitness gains by females through iteroparity, it is necessary to determine the relative magnitudes of male as well as female contributions to the total variance in relative fitness. We show how such data can be collected, how often they are collected, and we explain the circumstances in which selection favouring multiple mating by females can be strong or weak.     

Testing three models on the adaptive significance of protandric simultaneous hermaphroditism in a marine shrimp

Protandric simultaneous hermaphroditism, as reported for shrimps in the genus Lysmata, is a sexual system in which individuals invariably reproduce as males first and later in life as simultaneous hermaphrodites. I tested three models (i.e., sex-dependent energetic costs, sex-dependent mortality rates and sex-dependent time commitments) in an attempt to explain the adaptive value of protandric simultaneous hermaphroditism in the shrimp L. wurdemanni. Specific assumptions and predictions of each model were evaluated using manipulative experiments. In the laboratory, males grew faster than simultaneous hermaphrodites of the same size and age, an indication that the female function incurs higher energetic costs of reproduction than the male function. Also, large SHPs were more successful in monopolizing food than small males. The sex-dependent growth rate and size-dependent resource holding power agree with predictions of the sex-dependent energetic cost model. The time that simultaneous hermaphrodites required for replenishing their sperm reservoirs after mating as males was much shorter (2 days) than the time required to brood one clutch of embryos (11 days). Also, small simultaneous hermaphrodites experienced heavier mortality due to predatory fishes than large ones. The sex-dependent reproductive time commitment and size-dependent mortality agree with predictions of the sex-dependent time commitment model. Conversely, I found no evidence that the sex-dependent mortality model explains protandric simultaneous hermaphroditism in the studied species. In contrast to model predictions, mortality due to predatory fishes suffered by simultaneous hermaphrodites was not greater than that suffered by males of the same body size. In L. wurdemanni, the relationship between sex-specific investment and reproductive success seems to change during ontogeny in a way that is consistent with an adaptive adjustment of sex allocation to improve age-specific reproductive success.     

Sexual selection and reproductive success in hermaphroditic seabasses

Mating behavior in simultaneously hermaphroditic seabasses hasbeen often cited as an example of cooperation among unrelatedconspecifics. The predominant mating behavior in this groupinvolves egg trading, where individuals reciprocally fertilizeparcels of eggs from a partner. Egg trading has been suggestedas a good example of a tit-for-tat cooperative mating strategy.Although simultaneous hermaphroditic fishes are often held upas strong examples of cooperation in mating behavior, a closerexamination reveals significant sexual selection and sexualconflict between male and female roles among individuals. Inthe 7 species where data exist, there is a significant increasein male reproductive success with individual size, and in allbut 1 species success through male function increases fasterthan reproductive success through female function. Despite thismale-size advantage in simultaneous hermaphrodites, most speciesmaintain their hermaphroditism for their entire life, and theincreased male allocation while engaging in biased forms ofreciprocation appear to increase the evolutionary stabilityof hermaphroditism in these species. Thus, egg-trading behavioris probably more complicated than was initially recognized,with individuals releasing different numbers of eggs in spawns,spawning at different rates as males and females, and partitioningmale effort between pair and alternative mating tactics. Thedepartures from equal reciprocity can probably be best understoodby including aspects of traditional mating-system theory, withindividuals increasing male mating success through a varietyof behavioral tactics.     

Sexual systems and life history of barnacles: a theoretical perspective

Thoracican barnacles show one of the most diverse sexual systems in animals: hermaphroditism, dioecy (males and females), and androdioecy (males and hermaphrodites). In addition, when present, male barnacles are very small and are called "dwarf males". The diverse sexual systems and male dwarfism in this taxon have attracted both theoretical and empirical biologists. In this article, we review the theoretical studies on barnacles' sexual systems in the context of sex allocation and life history theories. We first introduce the sex allocation models by Charnov, especially in relation to the mating group size, and a new expansion of his models is also proposed. We then explain three studies by Yamaguchi et al., who have studied the interaction between sex allocation and life history in barnacles. These studies consistently showed that limited mating opportunity favors androdioecy and dioecy over hermaphroditism. In addition, other factors, such as rates of survival and availability of food, are also important. We discuss the importance of empirical studies testing these predictions and how empirical studies interact with theoretical constructs.     

Simultaneous hermaphroditism; cost and benefit

Current theories explain simultaneous hermaphroditism by the advantage it gives to organisms which are widely dispersed or sluggish, resulting in a low frequency of reproductive contacts. It is difficult to see why hermaphroditism is not more widespread unless there is some counterbalancing disadvantage.It is suggested that hermaphrodites suffer an energetic cost because they maintain two reproductive systems and a cost due to the reduced number or viability of offspring which may result from accidental self-fertilization. These costs will result in a disadvantage to hermaphroditism (compared to gonochorism) when reproductive contacts are frequent. However, even in widely dispersed or sluggish organisms behavioural mechanisms may exist which increase the frequency of reproductive contacts, favouring gonochorism instead of hermaphroditism.It is argued that externally fertilizing species should as a rule be gonochoric and that species which brood their young may often be hermaphroditic. Hermaphroditism in species which form permanent male/female pairs in the breeding season could result in more zygotes being produced. However, where parental care of the young is important, it is suggested that gonochorism and sexual dimorphism may result in more progeny being reared.     

Functional males in pair‐mating outcrossing hermaphrodites

In the mating system of simultaneously hermaphroditic animals, sexual allocation is predicted to vary as a function of the number of potential mates. According to the Hermaphrodite's Dilemma, sexual conflict over the preferred sexual role in hermaphroditic animals is resolved by reciprocity (i.e. by alternating sexual roles), accompanied by the animals' occasional cheating in the preferred role at a relatively low frequency. In a 350‐generation‐old laboratory strain of the pair‐mating outcrossing hermaphroditic polychaete worm Ophryotrocha diadema, we show that 9% of the individuals mated only in the male role over long periods, indicating a male‐role preference (temporary functional males). Furthermore, 2% of the individuals mated for their whole lifetime exclusively as males (permanent functional males). These findings indicate that the sex allocation of some individuals may vary from the predicted optimal sex allocation for the population. Morphologically, functional males exhibited a hermaphroditic phenotype (i.e. they matured a single batch of oocytes that they never laid and acted as functional males). We show that temporary functional males appeared in hermaphroditic populations under promiscuous mating regimes significantly more often than under monogamous ones. Indeed, under promiscuity, there are many mating opportunities and O. diadema hermaphrodites compete for mates, whereas, under monogamy, the two partners regularly take turns in laying cocoons and fertilizing their partner's cocoon. © 2010 The Linnean Society of London, Biological Journal of the Linnean Society, 2010, 100 , 451–456.     

Sequential patterns of sex allocation in simultaneous hermaphrodites: do we need models that specifically incorporate this complexity?

Theoretical and empirical studies of sex allocation usually treat sequential and simultaneous hermaphroditism as distinct and disparate forms of allocation. However, the sexual patterns of numerous species have both sequential (e.g., size-based) and simultaneous components. In most cases, we have drawn from sex allocation theory developed for sequential hermaphrodites to explain ontogenetic changes in allocation and from theory developed for simultaneous hermaphrodites to explain the remaining aspects of these sexual patterns rather than develop a more integrated theory. Here I present the evolutionary stable solution (ESS) to a dynamic statevariable model that explicitly combines the effects of size and simultaneous allocation to male and female function in a dynamic game. The model structure and initial parameter values are based on the sexual pattern of the blue-banded goby, Lythrypnus dalli, a simultaneous hermaphrodite. I then compare the natural patterns of sex allocation in L. dalli with the predictions of the model and with those of a dynamic version of the size advantage model. The integrated model predicted variation in allocation, sex-specific size distributions, and seasonal sex ratio better than the sequential hermaphroditism model did. Indeed, the sequential model, using L. dalli parameter values, predicts a dioecious rather than sequentially hermaphroditic allocation pattern. The comparison of these two models illustrates the disadvantage of drawing from two bodies of theory without a formal integrated framework. Furthermore, the comparison focuses attention on the role of costs of reallocation in the evolution of mixed (or intermediate) sexual patterns.     

Hermaphroditism: What's not to like?

Hermaphroditism is rare and phylogenically in decline among animal species. The evolutionary basis for this development is not well understood. This paper focusses on self-incompatible simultaneous hermaphroditism in animals. It proposes that such hermaphroditism is not stable in sufficiently heterogeneous populations, suggesting a possible reason for why hermaphroditism is rare among evolved animal species. The argument turns on the Bateman principle, namely that male reproductive success (RS) is limited by partner availability, while female RS is not. We show that: low-quality individuals do better if female; secondary sexual differentiation may be important for understanding the existence of males; and that hermaphroditic mating is reciprocal. Reciprocity may be key to understanding promiscuity and attendant phenomena such as cryptic female choice, sperm competition and love darts-common features of hermaphroditic mating. We also argue that hermaphrodites are especially vulnerable to male violence, suggesting a reason for the rarity of trioecy. Finally, we propose that external fertilization, and the scope for streaking, may be one reason fish are the only simultaneously hermaphroditic vertebrates.     

Genetic covariance between components of male reproductive success: within‐pair vs. extra‐pair paternity in song sparrows

The evolutionary trajectories of reproductive systems, including both male and female multiple mating and hence polygyny and polyandry, are expected to depend on the additive genetic variances and covariances in and among components of male reproductive success achieved through different reproductive tactics. However, genetic covariances among key components of male reproductive success have not been estimated in wild populations. We used comprehensive paternity data from socially monogamous but genetically polygynandrous song sparrows (Melospiza melodia) to estimate additive genetic variance and covariance in the total number of offspring a male sired per year outside his social pairings (i.e. his total extra‐pair reproductive success achieved through multiple mating) and his liability to sire offspring produced by his socially paired female (i.e. his success in defending within‐pair paternity). Both components of male fitness showed nonzero additive genetic variance, and the estimated genetic covariance was positive, implying that males with high additive genetic value for extra‐pair reproduction also have high additive genetic propensity to sire their socially paired female's offspring. There was consequently no evidence of a genetic or phenotypic trade‐off between male within‐pair paternity success and extra‐pair reproductive success. Such positive genetic covariance might be expected to facilitate ongoing evolution of polygyny and could also shape the ongoing evolution of polyandry through indirect selection.     

Sexual conflict in simultaneous hermaphrodites: evidence from serranid fishes

Synopsis Much of modern mating systems theory is founded on the assumption that a conflict of interests between males and females acts to shape reproductive strategies. If sexual conflict exists it should extend to simultaneous hermaphrodites. Here, the suggestion is made that hermaphrodite mating systems can be used to explore the assumptions associated with sexual conflict and (a) predictions about hermaphrodite mating systems, and (b) a comparative analysis of the mating systems described for a group of species of simultaneously hermaphroditic serranid fishes. Theories based on Bateman's principle predict that there should be a preferred role in hermaphrodites; i.e. the male role ought to offer potential fitness advantages to all serranids and serranid mating systems reflect this. The comparative analysis offers evidence that cheating in the male role is found in all of the species studied and explains the harem polygyny system of two species. This preference for the male role in this group offers the best evidence currently available for the existence of sexual conflict as a factor shaping mating systems.     

Mating group size and evolutionarily stable pattern of sexuality in barnacles

Barnacles, marine crustaceans, have various patterns of sexuality depending on species including simultaneous hermaphroditism, androdioecy (hermaphrodites and dwarf males), and dioecy (females and dwarf males). We develop a model that predicts the pattern of sexuality in barnacles by two key environmental factors: (i) food availability and (ii) the fraction of larvae that settle on the sea floor. Populations in the model consist of small individuals and large ones. We calculate the optimal resource allocation toward male function, female function and growth for small and large barnacles that maximizes each barnacle's lifetime reproductive success using dynamic programming. The pattern of sexuality is defined by the combination of the optimal resource allocations. In our model, the mating group size is a dependent variable and we found that sexuality pattern changes with the food availability through the mating group size: simultaneous hermaphroditism appears in food-rich environments, where the mating group size is large, protandric simultaneous hermaphroditism appears in intermediate food environments, where the mating group size also takes intermediate value, the other sexuality patterns, androdioecy, dioecy, and sex change are observed in food-poor environments, where the mating group size is small. Our model is the first one where small males can control their growth to large individuals, and hence has ability to explain a rich spectrum of sexual patterns found in barnacles.     

Intersexual conflict in androdioecious clam shrimp: Do androdioecious hermaphrodites evolve to avoid mating with males?

A recent sexual conflict model posits that a form of intersexual conflict may explain the persistence of males in androdioecious (males + hermaphrodites) populations of animals that are being selected to transition from dioecious (gonochoristic) mating to self‐compatible hermaphroditism. During the evolutionary spread of a self‐compatible hermaphrodite to replace females, the selective pressures on males to outcross are in conflict with the selective pressures on hermaphrodites to self. According to this model, the unresolved conflict interferes with the evolutionary trajectory from dioecy to hermaphroditism, slowing or halting that transition and strengthening the otherwise “transitory” breeding system of androdioecy into a potentially stable breeding strategy. Herein, we assess this model using two dioecious and two androdioecious clam shrimp (freshwater crustaceans) to ask two questions: (1) Have hermaphrodites evolved so that males cannot effectively recognize them?; and (2) Do androdioecious hermaphrodites avoid males? Androdioecious males made more mistakes than dioecious males when guarding potential mates suggesting that androdioecious males were less effective at finding hermaphrodites than dioecious males were at finding females. Similarly, in a three‐chambered experiment, focal hermaphrodites chose to aggregate with their same sex, whereas focal dioecious males chose to aggregate with the alternate sex. Together, these two experiments support the sexual conflict model of the maintenance of androdioecy and suggest that hermaphrodites are indeed evolving to avoid and evade males.     

Low potential for sexual selection in simultaneously hermaphroditic animals

Hermaphroditic animals are poorly represented in the sexual selection literature. This deficiency may reflect our inability to come to grips with hermaphroditism or, alternatively, it could be due to an inherent difference between hermaphrodites and gonochorists. Here we provide a number of reasons why sexual selection on traits related to mate acquisition can be expected to be intrinsically weaker in hermaphrodites. We show that the ''male'' fitness component, which can be increased by sexual selection in hermaphrodites, is only half that of pure males in a gonochorist population. This component can be reduced even further when hermaphrodites self-fertilize. As a result, the potential for sexual selection (ψ) on male characters in hermaphrodites is at most half that of gonochorists. Given a specific mate handling cost, sperm production cost and rate of encountering receptive mates, we calculate the optimal allocation to mate acquisition and sperm. Since both partners of a hermaphroditic pair invest in mate acquisition, hermaphrodites should optimally invest less in mate acquisition. This can further reduce ψ by up to one-half. A higher readiness to mate and high investment in sperm can lead to a further systematic reduction in P_s in hermaphrodites.     

The measure and significance of Bateman's principles

Bateman''s principles explain sex roles and sexual dimorphism through sex-specific variance in mating success, reproductive success and their relationships within sexes (Bateman gradients). Empirical tests of these principles, however, have come under intense scrutiny. Here, we experimentally show that in replicate groups of red junglefowl, Gallus gallus, mating and reproductive successes were more variable in males than in females, resulting in a steeper male Bateman gradient, consistent with Bateman''s principles. However, we use novel quantitative techniques to reveal that current methods typically overestimate Bateman''s principles because they (i) infer mating success indirectly from offspring parentage, and thus miss matings that fail to result in fertilization, and (ii) measure Bateman gradients through the univariate regression of reproductive over mating success, without considering the substantial influence of other components of male reproductive success, namely female fecundity and paternity share. We also find a significant female Bateman gradient but show that this likely emerges as spurious consequences of male preference for fecund females, emphasizing the need for experimental approaches to establish the causal relationship between reproductive and mating success. While providing qualitative support for Bateman''s principles, our study demonstrates how current approaches can generate a misleading view of sex differences and roles.     

Relative fitness of two hermaphroditic mating types in the androdioecious clam shrimp,Eulimnadia texana

Androdioecy (populations of males and hermaphrodites) is a rare reproductive form, being described from only a handful of plants and animals. One of these is the shrimp Eulimnadia texana, which has populations comprised of three mating types: two hermaphroditic types (monogenics and amphigenics) and males. In a recent study, the amphigenic hermaphrodites were found to be in greater abundance than that predicted from a model of this mating system. Herein, we compare the relative fitness of offspring from amphigenic and monogenic siblings, attempting to understand the greater relative abundance of the former. Populations started with offspring from selfed monogenic hermaphrodites had a net reproductive rate (R) 87% that of offspring from their amphigenic siblings. Additionally, within populations of amphigenic offspring (which included males, monogenics and amphigenics), amphigenics survived longer than monogenics. These differences help to explain the increased relative abundance of amphigenics in natural populations, but amphigenics continue to be more abundant than expected.     

Sex allocation in a simultaneously hermaphroditic marine shrimp

Two fundamental questions dealing with simultaneous hermaphrodites are how resources are optimally allocated to the male and female function and what conditions determine shifts in optimal sex allocation with age or size. In this study, I explored multiple factors that theoretically affect fitness gain curves (that depict the relationship between sex-specific investment and fitness gains) to predict and test the overall and size-dependent sex allocation in a simultaneously hermaphroditic brooding shrimp with an early male phase. In Lysmata wurdemanni, sperm competition is absent as hermaphrodites reproducing in the female role invariably mated only once with a single other shrimp. Shrimps acting as females preferred small over large shrimps as male mating partners, male mating ability was greater for small compared to large hermaphrodites, and adolescent males were predominant in the population during the breeding season. In addition, brooding constraints were not severe and varied linearly with body size whereas the ability to acquire resources increased markedly with body size. Using sex allocation theory as a framework, the findings above permitted to infer the shape of the male and female fitness gain curves for the hermaphrodites. The absence of sperm competition and the almost unconstrained brooding capacity imply that both curves saturate, however the male curve levels off much more quickly than the female curve with increasing level of investment. In turn, the predominance of adolescent males in the population implies that the absolute gain of the female curve is greater than that of the male curve. Last, the size-dependent female preference and male mating ability of hermaphrodites determines that the absolute gain of the male curve is greater for small than for large hermaphrodites. Taking into consideration the inferred shape of the fitness gain curves, two predictions with respect to the optimal sex allocation were formulated. First, overall sex allocation should be female biased; it permits hermaphrodites to profit from the female function that provides a greater fitness return than the male function. Second, sex allocation should be size-dependent with smaller hermaphrodites allocating more than proportionally resources to male reproduction than larger ones. This size-dependent sex allocation permits hermaphrodites to profit from male mating opportunities that are the greatest at small body sizes. Size-dependent sex allocation is also expected because the male fitness gain curve decelerates more quickly than the female gain curve and experiments indicated that resources are greater for large than small hermaphrodites. These two predictions were tested when determining the sex allocation of hermaphrodites by dissecting their gonad and quantifying ovaries versus testes mass. Supporting the predictions above, hermaphrodites allocated, on average, 118 times more to the female than to the male gonad and the proportion of resources devoted to male function was higher in small than in large hermaphrodites. A trade-off between male and female allocation is assumed by theory but no negative correlation between male and female reproductive investment was observed. In L. wurdemanni, the relationship between sex-specific investment and fitness changes during ontogeny in a way that is consistent with an adjustment of sex allocation to improve size-specific reproductive success.