小型哺乳动物繁殖期的能量收支对策

乳动物能世的分配及权衡,尤时无刘不体现于繁殖乃至生活史的各阶段。相应的生活史及繁殖对策构成了繁殖能量收支的基本理论 文章从繁殖期能量蝴分人手。综述了小哺乳动物繁殖期间的能量分配埘策及哺乳期的能量权衡：其中繁殖期闯的能量分配对策包括时间的优化分配 提高能量的同化效宰、利用体内储存及能量的补偿等对策。阐述了哺乳期的能量权衡主要对母体的能量权衡对策咀及后代的权衡理论,较系境地分析了母体与幼体以及幼体之间的能量权衡 这些繁殖能量对策是小哺乳动物长期自然选择的结果。任何单一的繁殖对策都不可能总是最优的,物种在不同的条件下会采取不同的对策适应环境。     

A model for optimal offspring size in fish, including live-bearing and parental effects

Since Smith and Fretwell's seminal article in 1974 on the optimal offspring size, most theory has assumed a trade-off between offspring number and offspring fitness, where larger offspring have better survival or fitness, but with diminishing returns. In this article, we use two ubiquitous biological mechanisms to derive the shape of this trade-off: the offspring's growth rate combined with its size-dependent mortality (predation). For a large parameter region, we obtain the same sigmoid relationship between offspring size and offspring survival as Smith and Fretwell, but we also identify parameter regions where the optimal offspring size is as small or as large as possible. With increasing growth rate, the optimal offspring size is smaller. We then integrate our model with strategies of parental care. Egg guarding that reduces egg mortality favors smaller or larger offspring, depending on how mortality scales with size. For live-bearers, the survival of offspring to birth is a function of maternal survival; if the mother's survival increases with her size, then the model predicts that larger mothers should produce larger offspring. When using parameters for Trinidadian guppies Poecilia reticulata, differences in both growth and size-dependent predation are required to predict observed differences in offspring size between wild populations from high- and low-predation environments.     

THE EVOLUTION OF REPRODUCTIVE EFFORT IN SQUAMATE REPTILES: COSTS,TRADE-OFFS,AND ASSUMPTIONS RECONSIDERED

We evaluated Shine and Schwarzkopf's (SS) model of the evolution of reproductive effort (RE) in squamate reptiles. They suggested that fecundity trade-offs were unimportant in the evolution of RE in most squamate reptiles and that only survival trade-offs needed to be considered. However, we show that by assuming no variation in offspring size exists, and that adult mortality is episodic, the results of the SS model are not general. By extension, we argue that conclusions drawn about factors important in the evolution of RE in squamate reptiles are premature. Using a modified version of the SS model, we demonstrate that variation in the form of trade-offs relating offspring size and survival substantially affect relationships among clutch size, relative clutch mass, and lifetime reproductive success. We also demonstrate that the way in which adult mortality is simulated drastically affects conclusions about the potential fecundity trade-offs experienced by populations of squamate reptiles. Finally, we suggest that a complete understanding of the evolution of RE will come from theory that incorporates trade-offs between offspring size and quality, as well as other system-specific constraints on the allocation of energy to growth, maintenance, storage, and reproduction.     

茉莉酸甲酯诱导大戟三萜类代谢的研究

京大戟是多年生草本药用植物,入药部分是其干燥根,但可入药的京大戟资源由于生长缓慢以及环境污染的加剧而越发匮乏,因此解决大戟资源日益紧张的问题是当今药用植物资源开发与利用方向的重要课题。京大戟含有三萜类、二萜类、黄酮类等丰富的活性成分,一些常见药用植物的有效成分是三萜类化合物,其在抗病毒、抗肿瘤、免疫调节等方面具有很好的活性。对植物萜类物质代谢起重要作用的关键酶,如3-羟基,3-甲基戊二酰辅酶A还原酶(hmgr)、鲨烯合酶(sqs)、法尼基焦磷酸合酶(fps)的基因克隆及活性研究取得了进展和突破,但通过调控萜类物质代谢途径中关键酶基因的表达来诱导终产物合成的研究鲜有报道。通过研究大戟萜类物质代谢途径进而利用基因工程手段提升目的物质的产量来解决京大戟药源短缺问题具有重要意义。该研究以大戟愈伤组织为材料,使用茉莉酸甲酯分别按时间梯度和浓度梯度进行诱导,将诱导后的愈伤组织分为两部分:一部分提取其总RNA,以actin为内参基因进行反转录,实时定量RT-PCR分析大戟三萜类代谢途径中hmgr、sqs与fps基因的相对表达差异;另一部分用于提取其总三萜并使用分光光度法进行含量测定。实时定量RT-PCR分析结果表明,茉莉酸甲酯可诱导3个基因的表达,但其表达模式不一样。相应的京大戟愈伤组织中总三萜的含量明显提高,最高可较未处理样品增加27%。研究结果可为茉莉酸甲酯促进药用植物大戟三萜类物质积累的分子机制研究提供参考。     

Twelve fundamental life histories evolving through allocation‐dependent fecundity and survival

An organism's life history is closely interlinked with its allocation of energy between growth and reproduction at different life stages. Theoretical models have established that diminishing returns from reproductive investment promote strategies with simultaneous investment into growth and reproduction (indeterminate growth) over strategies with distinct phases of growth and reproduction (determinate growth). We extend this traditional, binary classification by showing that allocation‐dependent fecundity and mortality rates allow for a large diversity of optimal allocation schedules. By analyzing a model of organisms that allocate energy between growth and reproduction, we find twelve types of optimal allocation schedules, differing qualitatively in how reproductive allocation increases with body mass. These twelve optimal allocation schedules include types with different combinations of continuous and discontinuous increase in reproduction allocation, in which phases of continuous increase can be decelerating or accelerating. We furthermore investigate how this variation influences growth curves and the expected maximum life span and body size. Our study thus reveals new links between eco‐physiological constraints and life‐history evolution and underscores how allocation‐dependent fitness components may underlie biological diversity.     

Optimal resource allocation of the marine bivalve Yoldia notabilis: The effects of size-limited reproductive capacity and size-dependent mortality

The effects of the morphological constraint of maximum reproductive output (reproductive capacity) and the size at which individuals can avoid heavy mortality (refuge size) on the resource allocation pattern between growth and reproduction are investigated using a dynamic modelling approach for a population of Yoldia notabilis (Mollusca: Bivalvia) in Otsuchi Bay, northeastern Japan. A state variable model is developed using field data on shell length, somatic weight, production, survivorship and reproductive capacity of the bivalve. The optimal allocation pattern is characterized by sudden switching from growth to reproduction without the assumption of reproductive capacity, while simultaneous investment in growth and reproduction becomes optimal when maximum reproductive output is limited by reproductive capacity. Size-specific reproductive effort, size at maturity and the growth curve predicted by the latter model fit more closely to the field data, suggesting that size-limited reproductive capacity can play an important role in the evolution of the observed resource allocation pattern. The mortality pattern affects optimal size at maturity, but not size-specific reproductive effort after maturity. When refuge size is fixed, optimal size at maturity increases with survivorship above refuge size. Optimal size at maturity changes in a more complex way with changes in refuge size. Size at maturity remains constant when refuge size is small, increases when it is intermediate, and decreases when it is large. The results suggest that refuge size is an important factor in the evolution of size at maturity, although its contribution varies depending on the values of other factors, such as size-dependent production and survivorship above refuge size. This revised version was published online in July 2006 with corrections to the Cover Date.     

The influence of juvenile and adult environments on life-history trajectories

There is increasing evidence that the environment experienced early in life can strongly influence adult life histories. It is largely unknown, however, how past and present conditions influence suites of life-history traits regarding major life-history trade-offs. Especially in animals with indeterminate growth, we may expect that environmental conditions of juveniles and adults independently or interactively influence the life-history trade-off between growth and reproduction after maturation. Juvenile growth conditions may initiate a feedback loop determining adult allocation patterns, triggered by size-dependent mortality risk. I tested this possibility in a long-term growth experiment with mouthbrooding cichlids. Females were raised either on a high-food or low-food diet. After maturation half of them were switched to the opposite treatment, while the other half remained unchanged. Adult growth was determined by current resource availability, but key reproductive traits like reproductive rate and offspring size were only influenced by juvenile growth conditions, irrespective of the ration received as adults. Moreover, the allocation of resources to growth versus reproduction and to offspring number versus size were shaped by juvenile rather than adult ecology. These results indicate that early individual history must be considered when analysing causes of life-history variation in natural populations.     

The effects of density-dependent offspring mortality on the synchrony of reproduction

Mortality rates often depend on the size of a population. Using ideal free theory to model the optimal timing of reproduction in model populations, I considered how the specific relationship between density-dependent offspring mortality and population size affects the optimal temporal distribution of reproduction. The results suggest that the specific form of the relationship between density-dependent mortality and the number of offspring produced determines the degree to which reproduction within a population is synchronous. Specifically, reproductive synchrony decreases as density-dependent mortality becomes increasingly inversely related to the number of offspring produced and is highest when density-dependent mortality is directly density-dependent. These findings support the suggestion that predation pressure selects for greater reproductive synchrony in species where mortality is directly density-dependent, but does not affect the timing of reproduction in species with density-independent rates of mortality. This revised version was published online in July 2006 with corrections to the Cover Date.     

Optimal allocation of energy to growth and reproduction

The optimal allocation of energy to growth and reproduction is considered for three different cases, i.e., a single reproduction (semelparity), reproduction through repeated discrete clutches, and continuous reproduction. The problem reduces to optimizing age and size at maturity. The best strategy is to continue growth until the change of production rate with respect to increasing body size, multiplied by life expectancy for those attaining adulthood and reproducing successfully, is greater than one. The time at which semelparous species reproduce may also be optimized; for the other modes of reproduction only physiological factors or seasonality can limit the maximum age. A brief growing season or high mortality rate are factors leading to early maturity and small adult body size.     

A general model for the scaling of offspring size and adult size

Understanding evolutionary coordination among different life-history traits is a key challenge for ecology and evolution. Here we develop a general quantitative model predicting how offspring size should scale with adult size by combining a simple model for life-history evolution with a frequency-dependent survivorship model. The key innovation is that larger offspring are afforded three different advantages during ontogeny: higher survivorship per time, a shortened juvenile phase, and advantage during size-competitive growth. In this model, it turns out that size-asymmetric advantage during competition is the factor driving evolution toward larger offspring sizes. For simplified and limiting cases, the model is shown to produce the same predictions as the previously existing theory on which it is founded. The explicit treatment of different survival advantages has biologically important new effects, mainly through an interaction between total maternal investment in reproduction and the duration of competitive growth. This goes on to explain alternative allometries between log offspring size and log adult size, as observed in mammals (slope = 0.95) and plants (slope = 0.54). Further, it suggests how these differences relate quantitatively to specific biological processes during recruitment. In these ways, the model generalizes across previous theory and provides explanations for some differences between major taxa.     

Optimal growth strategies when mortality and production rates are size-dependent

Summary Pontryagin's maximum principle from optimal control theory is used to find the optimal allocation of energy between growth and reproduction when lifespan may be finite and the trade-off between growth and reproduction is linear. Analyses of the optimal allocation problem to date have generally yielded bang-bang solutions, i.e. determinate growth: life-histories in which growth is followed by reproduction, with no intermediate phase of simultaneous reproduction and growth. Here we show that an intermediate strategy (indeterminate growth) can be selected for if the rates of production and mortality either both increase or both decrease with increasing body size, this arises as a singular solution to the problem. Our conclusion is that indeterminate growth is optimal in more cases than was previously realized. The relevance of our results to natural situations is discussed.     

Growth after maturity as a sub-optimal strategy

Patterns of optimal resource allocation to growth and reproduction were investigated using a numerical simulation. As in most previous analyses, cessation of growth when reproduction begins (the determinate strategy) appeared optimal. Here, it was additionally found that fitness was only slightly lower for individuals that continue to grow after maturation. Therefore, it is argued that selection for a determinate strategy may be too weak to overwhelm random processes like environmental stochasticity or genetic drift that shape patterns of growth, especially under low mortality. The consequences of an indeterminate strategy for optimal size at maturity and final size were investigated: prolonging the period in which growth and reproduction co-occurred decreased size at maturity only slightly but markedly increased the final size.     

The importance of growth and mortality costs in the evolution of the optimal life history

A central assumption of life history theory is that the evolution of the component traits is determined in part by trade-offs between these traits. Whereas the existence of such trade-offs has been well demonstrated, the relative importance of these remains unclear. In this paper we use optimality theory to test the hypothesis that the trade-off between present and future fecundity induced by the costs of continued growth is a sufficient explanation for the optimal age at first reproduction, alpha, and the optimal allocation to reproduction, G, in 38 populations of perch and Arctic char. This hypothesis is rejected for both traits and we conclude that this trade-off, by itself, is an insufficient explanation for the observed values of alpha and G. Similarly, a fitness function that assumes a mortality cost to reproduction but no growth cost cannot account for the observed values of alpha. In contrast, under the assumption that fitness is maximized, the observed life histories can be accounted for by the joint action of trade-offs between growth and reproductive allocation and between mortality and reproductive allocation (Individual Juvenile Mortality model). Although the ability of the growth/mortality model to fit the data does not prove that this is the mechanism driving the evolution of the optimal age at first reproduction and allocation to reproduction, the fit does demonstrate that the hypothesis is consistent with the data and hence cannot at this time be rejected. We also examine two simpler versions of this model, one in which adult mortality is a constant proportion of juvenile mortality [Proportional Juvenile Mortality (PJM) model] and one in which the proportionality is constant within but not necessarily between species [Specific Juvenile Mortality (SSJM) model]. We find that the PJM model is unacceptable but that the SSJM model produces fits suggesting that, within the two species studied, juvenile mortality is proportional to adult mortality but the value differs between the two species.     

Size and temperature in the evolution of fish life histories

Body size and temperature are the two most important variablesaffecting nearly all biological rates and times, especiallyindividual growth or production rates. By favoring an optimalmaturation age and reproductive allocation, natural selectionlinks individual growth to the mortality schedule. A recentmodel for evolution of life histories for species with indeterminategrowth, which includes most fish, successfully predicts thenumeric values of two key dimensionless numbers and the allometryof the average reproductive allocation versus maturation sizeacross species. Here we use this new model to predict the relationshipsof age-at-maturity, adult mortality and reproductive effortto environmental temperature and maturation size across species.Age-at-maturity, adult mortality and the proportion of the bodymass given to reproduction per year are predicted to show ±0.25power allometries with mass at maturity, and an exponential(Boltzmann) temperature dependence. Temperature is assumed toaffect only body size growth, so the temperature linkages ofmaturation, mortality and reproductive effort are indirect vialife history optimization; this is briefly contrasted with theidea that (for example) temperature directly affects mortality.     

Two fitness measures for clonal plants and the importance of spatial aspects

The capability of clonal plants to reproduce both sexually and vegetatively and their resulting hierarchical organisation into ramets and genets pose problems for the determination of fitness. We develop ramet-based measures of clonal plant fitness including both modes of reproduction. To this end we use simple population-dynamic equations accounting for limited space, limited dispersal, and disturbance. Neglecting interactions among ramets (r-selection regime) we derive an expression for initial growth rate r as a fitness measure. At higher densities interactions among ramets lead to density control (K-selection regime) and competitive exclusion of genotypes or species may occur. In this case we apply an invasibility criterion to derive an abundance fitness measure: competitiveness C. The optimum of C corresponds to an evolutionary stable strategy. C increases with the proportion of reproductive adults, with inverse module mortality, and with the sum of sexual and vegetative reproduction. The latter are defined as the product of the rate of module production and two correction factors accounting for juvenile mortality before establishment and for the efficiency of space exploitation by propagules. Thus C is equivalent to potential life-time offspring production, in contrast to realized life-time offspring production R₀. Because the correction factor for space exploitation cannot be expressed analytically we obtain it from complementary spatially-explicit individual-based simulations. To illustrate an application of the fitness measure C we predict optimal allocation to vegetative and sexual reproduction. In a homogeneous habitat an intermediate allocation may maximize fitness only if there is a non-linear trade-off between the modes of reproduction. However even if this trade-off is linear, spatially heterogenous disturbances can lead to an intermediate optimum of allocation because seed dispersal with subsequent vegetative spread improves the utilization of available space for recruitment if the spatial extent of single disturbances is much larger than the distance of vegetative dispersal. Thus, our study underlines the importance of spatial features for fitness measures especially of clonal plants.     

Evolution of longevity through optimal resource allocation

Models of life history evolution predict optimal traits of a simplified organism under various environmental conditions, but they at most acknowledge the existence of ageing. On the other hand, genetic models of ageing do not consider the effects of ageing on life histroy traits other than fecundity and longevity. This paper reports the results of a dynamic programming model which optimizes resource allocation to growth, reproduction and somatic repair. A low extrinsic (environmentally caused) mortality rate and high repair efficiency promote allocation to repair, especially early in life, resulting in delayed ageing and low growth rates, delayed maturity, large body size and dramatic enhancement of survival and maximum lifespan. The results are generally consistent with field, comprative and experimental data. They also suggest that the relationships between maximum lifespan and age at maturity and body size observed in nature may be by-products of optimal allocation strategies.     

The offspring-size/clutch-size trade-off in mammals

The Smith-Fretwell model for optimal offspring size assumes the existence of an inverse proportional relationship (i.e., trade-off) between the number of offspring and the amount of resources invested in an individual offspring; virtually all of the many models derived from theirs make the same trade-off assumption. Over the last 30 years it has become apparent that the predicted proportionality is often not observed when evaluated across species. We develop a general allometric approach to correct for size-related differences in the resources available for reproduction. Using data on mammals, we demonstrate that the predicted inverse proportional relationship between number of offspring and offspring size is closely approached after correcting for allocation, though there is a slight curvature in the relationship. We discuss applications for this approach to other organisms, possible causes for the curvature, and the usefulness of allometries for estimating life-history variables that are difficult to measure.     

Geographical variation in offspring size effects across generations

Offspring size is thought to strongly affect offspring fitness and many studies have shown strong offspring size/fitness relationships in marine and terrestrial organisms. This relationship is strongly mitigated by local environmental conditions and the optimal offspring size that mothers should produce will vary among different environments. It is assumed that offspring size will consistently affect the same traits among populations but this assumption has not been tested. Here I use a common garden experiment to examine the effects of offspring size on subsequent performance for the marine bryozoan Bugula neritina using larvae from two very different populations. The local conditions at one population (Williamstown) favour early reproduction whereas the other population (Pt. Wilson) favours early growth. Despite being placed in the same habitat, the effects of parental larval size were extremely variable and crossed generations. For larvae from Williamstown, parental larval size positively affected initial colony growth and larval size in the next generation. For larvae from the other population, parental larval size positively affected colony fecundity and negatively affected larval size in the next generation. Traditionally, exogenous factors have been viewed as the sole source of variation in offspring size/fitness relationship but these results show that endogenous factors (maternal source population) can also cause variation in this crucial relationship. It appears offspring size effects can be highly variable among populations and organisms can adapt to local conditions without changing the size of their offspring.     

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

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

Energetic constraints, size gradients, and size limits in benthic marine invertebrates

Populations of marine benthic organisms occupy habitats witha range of physical and biological characteristics. In the intertidalzone, energetic costs increase with temperature and aerial exposure,and prey intake increases with immersion time, generating sizegradients with small individuals often found at upper limitsof distribution. Wave action can have similar effects, limitingfeeding time or success, although certain species benefit fromwave dislodgment of their prey; this also results in gradientsof size and morphology. The difference between energy intakeand metabolic (and/or behavioral) costs can be used to determinean energetic optimal size for individuals in such populations.Comparisons of the energetic optimal size to the maximum predictedsize based on mechanical constraints, and the ensuing mortalityschedule, provides a mechanism to study and explain organismsize gradients in intertidal and subtidal habitats. For specieswhere the energetic optimal size is well below the maximum sizethat could persist under a certain set of wave/flow conditions,it is probable that energetic constraints dominate. When theopposite is true, populations of small individuals can dominatehabitats with strong dislodgment or damage probability. Whenthe maximum size of individuals is far below either energeticoptima or mechanical limits, other sources of mortality (e.g.,predation) may favor energy allocation to early reproductionrather than to continued growth. Predictions based on optimalsize models have been tested for a variety of intertidal andsubtidal invertebrates including sea anemones, corals, and octocorals.This paper provides a review of the optimal size concept, andemploys a combination of the optimal energetic size model andlife history modeling approach to explore energy allocationto growth or reproduction as the optimal size is approached.