Abstract
Interaction strength among species plays a crucial role in shaping the functioning of ecological communities, but it is often assumed to be insensitive to inter-individual variation in underlying parameters such as attack rates or handling time. Ecological factors including stressors exert age/size-dependent effects on such behavioral parameters, promoting shifts in the distribution of parameter values over ages. Here we analyze the effects of the pesticide methamidophos on the Daphnia-microalga interaction strength. We first analyze age-dependent effects of the pesticide on the Daphnia functional response, and then decompose the population-level effects of the stressor into contributions of shifts in elevation (i.e., vertical effect) versus shifts in nonlinearity (i.e., nonlinear effect) of the response of interaction strength over consumer age. Our results show that (1) Rogers and Holling type II functional response models best fitted the empirical functional responses of Daphnia of different ages, (2) attack rate and handling time were affected by the pesticide, (3) these effects were age-specific, shifting the average attack rate and both the mean and coefficient of variation of handling time of different age classes, (4) population level interaction strength was affected by pesticide exposure by variation in both elevation and nonlinearity of its response over consumer age. We show that both vertical and nonlinear effects were important in magnitude but opposite in sign. The consequences of factors that exert age/size dependent effects can only be evaluated through properly considering inter-individual variation.
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Introduction
The strength of species interactions can have large consequences on community dynamics and stability (Berlow et al. 2004; Vázquez et al. 2015), with strong interactions tending to destabilize population and community dynamics (McCann et al. 1998). Interaction strength of predators on their prey is measured commonly as the effect of predator species on the per capita population growth rate of prey (Laska and Wootton 1998; Berlow et al. 2004; Wootton and Emmerson 2005). Considering only lethal effects (simplistic but often assumed in most theoretical models of predator–prey interaction), interaction strength of predators on their victims is often described by the per capita killing rate of prey, which is governed by the prey availability as well as by interaction parameters such as attack rate and handling time, which depend on properties and traits of both consumer and resource (Pawar et al. 2015). This relationship is known as the predator’s functional response. However, the population functional response, that is known to affect community dynamics, is determined by the aggregation (i.e., averaging) of individual functional responses (Bolnick et al. 2011), which often exhibit considerable variation. In age-structured populations, individual traits vary considerably due to ontogenetic differences among organisms (Polis 1984). In many animal populations younger individuals are smaller and have both lesser energy requirements and lesser capability to gather food and consequently exhibit reduced attack rates and/or increased handling time of prey items. Variation in these behavioral parameters within populations can cause a significant shift in community and ecosystem dynamics (Okuyama 2008; Miller and Rudolf 2011; Schreiber et al. 2011; Violle et al. 2012; Persson and De Roos 2013; Rudolf and Rasmussen 2013; Gibert and Brassil 2014; Gibert et al. 2015; Hughes et al. 2015).
Many environmental factors such as temperature, chemical composition of the medium, interaction with other organisms, as well as anthropogenic stressors, affect the parameters that determine interaction strength in different mode and magnitude according to the age of individuals. For example, individuals of different age exhibit different tolerance to pesticide exposure (Day and Kaushik 1987; Hanazato 1991; Takahashi and Hanazato 2007). Given that external pressures such as climatic factors or pollution are not generally expected to affect functional response parameters in equal magnitude in individuals of different age, the outcome of these effects on interaction strength at the population level is difficult to predict.
In this study we analyze the effects of a model stressor, the pesticide methamidophos, on the Daphnia-microalga interaction strength. Specifically, we study the shift caused by methamidophos exposure on the ontogenetic variation of parameters that determine interaction strength, namely predator attack rate and handling time. Finally, we decompose the effect of methamidophos on population-level maximal interaction strength into contributions of (1) magnitude of responses in individuals of average age, namely vertical effects, and (2) degree of nonlinearity of the relation between interaction strength and consumer age, namely nonlinear effects.
Methods
Test organisms and stressor
We constructed empirical functional responses of the microcrustacean herbivore Daphnia ambigua feeding on the green microalga Pseudokirchneriella subcapitata. Individuals of D. ambigua were collected at Peñuelas reservoir, Valparaiso, Chile (33°07′S, 71°24′W) and a stock was maintained in the laboratory at 20 ± 1 °C and photoperiod 16:8 (L:D). Individuals were grown in COMBO medium (Kilham et al. 1998) and fed every 2 days with 106 cells mL−1 algal suspension.
Methamidophos (O,S-dimethyl phosphoramidothioate) is used to control pests in many crops (WHO 1993; Malato et al. 1999). This pesticide has high water solubility; its residues and fate in the environment are of concern (Yen et al. 2000). This organophosphate is one of the most toxic and broad-spectrum acetylcholinesterase inhibitors (Hussain 1987). It is highly toxic to aquatic animals, including fish (Tomin 1994), decapods (García de la Parra et al. 2006) and Daphnia magna (Lin et al. 2006). Following OECD (2004), we assessed methamidophos 24 h-LC50 (i.e., stressor concentration that causes 50 % mortality in 24 h) for the test organisms under the same environmental conditions used in the main experiments. We obtained a 24 h-LC50 value of 369 µg L−1. After performing preliminary experiments and in order to obtain measurable effects on feeding rates without Daphnia mortality, we selected an exposure time of 6 h to methamidophos at the assessed 24 h-LC50 value. After exposing the individuals, feeding rates were measured in clean medium.
Feeding rate experiments
We assessed the ontogenetic changes in feeding rates of the herbivore D. ambigua over a gradient of food density, both with and without prior exposure of consumers to the pesticide methamidophos. In this way we can analyze how Daphnia’s functional responses change as a function of age and pesticide exposure. We use here the common definition of functional response (e.g., Jeschke et al. 2002): the relationship between feeding rate (i.e., number of prey eaten per predator per unit time) and prey density. We measured feeding rates of the herbivore at various ages: 1 day old (neonates), 3 and 5 days old (juveniles) and adults of age 7 and 9 days. Neonates of the same cohort (<24 h old) were extracted from the third clutch of mothers that were isolated from the stock culture. These neonates were grown until they reached the required age to be used in the experiments. The test organisms were grown in 5 L aquaria and fed every 2 days with a suspension of P. subcapitata at 106 cells mL−1. The experiments were not conducted simultaneously, but within a period of 9 days. On each of the days when the test organisms reached each of the experimental ages, a group of them was randomly chosen and assigned to one of two treatments: (1) pesticide exposure (T treatments) and (2) controls without pesticide exposure (C treatments). In the T treatments, individuals were exposed for 6 h to methamidophos at a concentration of 369 µg L−1, as explained above. During this period individuals in both T and C treatments were maintained in COMBO medium at a density of 30 ind L−1 and fed with 106 cells mL−1 of P. subcapitata. After exposure individuals were gently washed in clean media and a random subset from both T and C treatments was transferred to 1 mL vessels containing different food levels: 105, 5 × 105, 2 × 106, 4 × 106 and 6 × 106 cells mL−1 of P. subcapitata. We used four replicates in each of the 5 × 2 treatments. After an acclimation of 1 h we started foraging trials by introducing the predators into prey dishes at each of the experimental food levels, whose depletion we attempted to minimize during the test. The experiments were conducted in darkness at 20 °C in an orbital shaker incubator at a slow agitation rate (100 rpm) to prevent algal settling. Due to considerable differences in feeding rate over consumer age, the duration of experiments, volume of the vessels and number of individuals per experimental unit were adjusted for each age class in order to obtain reliable measurements. In particular, we set the experimental conditions to fulfill two basic criteria: (1) minimize the experimental time, to avoid indirect mechanisms of consumer dependence and excessive algal depletion (Fussmann et al. 2005), and (2) maintain the total body surface of consumers (i.e., the sum over individuals in a vessel) approximately constant per unit volume in each experimental unit. This was done as a way of controlling the clearance rate of algae over consumer ages, assuming that clearance rate is proportional to body surface (Kooijman and Metz 1984). Consumer body surface per volume was 9.1 ± 1.9 mm2 mL−1 (mean and standard deviation). A summary of the chosen experimental conditions is shown in Table 1. To determine feeding rate, the density of algal cells before and after the addition of D. ambigua consumers was estimated under a microscope in a hemocytometer (Neubauer chamber). We used a standard equation (Peters 1984) to calculate per capita feeding rates, \({\text{f}} = {\text{V}}\left( {{\text{C}}_{0} - {\text{C}}_{\text{t}} } \right){\text{N}}^{ - 1} {\text{t}}^{ - 1}\),where C0 and Ct (cells mL−1) are initial and final cell concentration, V (mL) is the volume of the container, N is the number of animals in the container and t (h) is the length of time the animals where allowed to feed. In addition, we measured the variation in algal concentration in each combination of food level and consumer age, but without consumers. We used two replicated flasks in each of these treatments. This allowed us to check for possible changes in algal abundance due to reasons other than feeding and correct for this effect. Nevertheless, such corrections were not needed since there were no changes in cell concentration in these assays.
Statistics
Feeding rate experiments
The effects of pesticide exposure, consumer age and food density on the feeding rate of D. ambigua were assessed using a generalized linear model analysis with a negative binomial error distribution. We selected the functional response model that best described the variation in feeding rate with food concentration. For this we used nonlinear regression to fit raw feeding rate values versus food concentration at each age to a number of functional response models (Table 2) for both pesticide and control treatments. Model selection was done using the corrected Akaike information criterion (AICc, Burnham and Anderson 2004). Individual values of AICc were scaled to ΔAICc = AICc − AICcmin, where AICcmin is the minimum value of AICc computed for the different models. This transformation forces the best model to have a ∆AICc = 0 and greater values for the other models.
Predator–prey interaction strength
As stated above, we used the feeding rate of prey (algae) by an individual predator (Daphnia) as the measure of interaction strength (Yodzis 1989; Wootton and Emmerson 2005). This measure corresponds to elements of the Jacobian matrix, which does not need to be evaluated at equilibrium (Wootton 1997). Since this measure depends on prey availability, we use hereafter the maximal interaction strength, defined as the limit of the killing rate as prey availability approaches infinity. The existence of this value is assured in saturating models of functional responses such as the ones used here (Table 2). In particular, the maximal interaction strength in our models is given by the inverse of handling time, h −1. This approach to measure interaction strength is common in the ecological literature (Sala and Graham 2002; Berlow et al. 2004), although not free of criticism (Abrams 2001).
Bootstrapping
Ninety-five percent confidence intervals for mean values of the functional response parameters were obtained by bootstrap using the percentile method (Manly 2007).
For each food level in a given consumer age, four feeding rate values were randomly sampled with replacement. This new dataset was fitted to the selected functional response model to obtain the parameter values. This procedure was repeated 1500 times for each consumer age. From the set of 1500 parameter values obtained by this method, we calculated the 95 % confidence intervals of their mean values as the interval within percentiles 2.5 and 97.5.
Nonlinearity, Jensen’s inequality and decomposition of pesticide effects
A property of nonlinear functions called Jensen’s inequality (Jensen 1906; Ruel and Ayres 1999) states that the average value of a function \({\text{f(x)}}\) is different from the function evaluated at the average value of \({\text{x}}\). For accelerating functions (i.e. with a positive second derivative), the average result of \({\text{f(x)}}\), \(\overline{\text{f} {\rm (x)}}\), is greater than the function evaluated at the average value of \({\text{x}}\), \({\text{f}}(\bar{\rm x})\). Conversely, for decelerating (i.e. with negative second derivative) functions, \(\overline{\text{f} {\rm (x)}}\) is smaller than \({\text{f}}(\bar{\rm x})\). The consequence is that the variance of \({\text{x}}\) consistently increases (in accelerating functions) or decreases (in decelerating functions) the averaged dependent variable \(\overline{\text{f} {\rm (x)}}\). Consequently, all other things being equal the magnitude of the difference between \(\overline{\text{f} {\rm (x)}}\) and \({\text{f}}(\bar{\rm x})\) increases with the degree of nonlinearity of the function.
For our purposes we are interested in variations in population maximal interaction strength \(\overline{\psi {\rm (x)}}\) driven by an external pressure (pesticide exposure) exerted on individuals of different ages. If the pesticide exposure alters the biological response of individuals homogenously over ages, then the population effect is explained entirely by a change in the height of the \(\psi (\rm x)\) curve (i.e. a “vertical” effect). The magnitude of this vertical effect can be estimated as the difference between the responses of individuals of average age class \({\bar{\text{x}}}\) in T treatment (exposed) versus C treatment (control): \({\psi }_{\text{T}} ( {\bar{\text{x}})} - {\psi}_{\text{C}} ({\bar{\text{x}})}\). Conversely, if the magnitude of individual responses varies with age, then the \({\psi} {\text(x)}\) curve will exhibit a different shape compared to the control curve. Assuming that the function \({\psi} {\text {(x)}}\) and its derivative are both monotonic, a change in shape is translated into changes in curvature, i.e. the degree of nonlinearity of \({\psi} {\text {(x)}}\) (a “nonlinear” effect). The degree of nonlinearity can be measured by the difference between the average response \(\overline {{\psi}({\text{x}})}\) and the response of an individual of average age class \({\psi} (\bar{\text{x}})\). Thus the magnitude of a nonlinear effect can be estimated as the difference between treatment and control groups in their degree of nonlinearity: \(\left( {\overline{{{{\psi }}_{\text{T}} ({\text{x}})}}} - {{\psi }}_{\text{T}} ( {\bar{\text{x}}}) \right) - \left( {\overline{{{{\psi }}_{\text{C}} ({\text{x}})}}} - {{\psi }}_{\text{C}} ( {\bar{\text{x}}}) \right)\).
In age-structured populations, variations in environmental factors that affect organisms’ performance could exert both vertical and nonlinear effects, which may have different magnitude and even opposite sign. To analyze such scenarios, a decomposition procedure is needed to assess the relative contribution of vertical and nonlinear shifts to the total effect of the driving factor on the population value of maximal interaction strength. For the purposes of our study, but easily adaptable to other scenarios, we developed the following decomposition procedure:\(\overline{{\psi}_{\text{T}} ({\text{x}})} - \overline{{\psi }_{\text{C}} ({\text{x}})} = \left[ {{\psi}_{\text{T}} ({\bar{\text{x}}}) - {\psi}_{\text{C}} ({\bar{\text{x}}})} \right] + \left[ {\left( {\overline{{\psi}_{\text{T}} ({\text{x}})} - {\psi }_{\text{T}} ({\bar{\text{x}}})} \right) - \left( {\overline{{\psi }_{\text{C}} ({\text{x}})} - {\psi}_{\text{C}} ({\bar{\text{x}}})} \right)} \right]\),where \({\psi {\text(x)}}\) is the maximal interaction strength at age x, with subscripts C and T representing control and pesticide treatments, respectively. The magnitudes \(\overline{{\psi }({\text{x}})} = n^{ - 1} \mathop \sum \nolimits_{i = 1}^{n} h_{i}^{ - 1}\) and \({\psi (\bar{x})} = h_{A}^{ - 1}\) represent the average maximal interaction strength of the population over age classes i and the maximal interaction strength of an individual of average age class A, respectively. Parameter h −1 is the fitted value of the inverse of handling time obtained in each case. Symbol n represents the number of age classes considered. The left hand side of the above equation represents the reduction in the population (average) value of \({\psi {\text(x)}}\) as a consequence of pesticide exposure. The first term in the brackets on the right hand side represents the magnitude of the vertical effect (VE) and the second term in the brackets represents the magnitude of the nonlinear effect (NLE) of pesticide exposure on population maximal interaction strength. We computed 95 % confidence intervals by the percentile method for vertical and nonlinear effects from the bootstrapped datasets, as explained above. To express vertical and nonlinear effects in percentages, we calculated \(\% \,VE = 100 \times \left| {VE} \right|/\left( {\left| {VE} \right| + \left| {NLE} \right|} \right)\) and \(\%\,NLE = 100 \times \left| {NLE} \right|/\left( {\left| {VE} \right| + \left| {NLE} \right|} \right)\).
Results
Results from the generalized linear model analysis indicated that the feeding rate of Daphnia was significantly affected by the interaction among consumer age, food density and pollutant exposure (Table 3).
Using the Akaike information criterion, the Rogers model and the standard Holling type II functional response models were the equations that best described the data (Table 4). The Holling type II model behaved slightly better than the Rogers model in the controls, while the Rogers model behaved slightly better than the Holling type II model in the experimental treatments. In the rest of the text we will only use the parameters obtained from the Rogers model since it accounts for decreases in food levels as occurred in our experiments. However, the results for the Holling type II model did not exhibit qualitative differences (Fig. 1). Parameter values obtained from fitting feeding rate data in each treatment to both the Rogers and Holling type-II model are given in Online Resource 1 (Tables S1 and S2).
Pesticide exposure significantly reduced average attack rate but did not exert any effect on its coefficient of variation. On the other hand, the pesticide significantly increased both the mean and coefficient of variation of handling time (Fig. 2, see also Fig. S1).
The shape of the relationship between maximal interaction strength and organism age, \({\psi {\text(x)}}\), was also affected by pesticide exposure. The function \({\psi {\text(x)}}\) was nearly linear in controls. In contrast, in the pesticide treatments the relationship was accelerating (Fig. 3, see also Fig. S2).
Finally, our decomposition procedure showed that pesticide exposure reduced \({\psi {\text(x)}}\) by 68 % (Rogers) and 65 % (Holling) at the population level due to a negative vertical effect, but this was counteracted by an increase in \({\psi {\text(x)}}\) of 32 % (Rogers) and 35 % (Holling) through a positive nonlinear effect (Figs. 4, S3). Thus, nonlinear effects contributed to the total effect of pesticide by 47 % (Rogers) and 53 % (Holling).
Discussion
Within populations there is considerable variation in organisms’ behavior and particularly in their foraging behavior (Kobler et al. 2009; Sweeney et al. 2013). The recognition of among-individual behavioral variation and the analysis of its evolutionary causes and system consequences at the population and community levels have emerged as a vigorous research field in the last decade (Wolf et al. 2007; Biro and Stamps 2010). Clearly, individuals of most species grow considerably in size during their lifespan, and this ontogenetic variation expressed in structured populations, explains a large part of the intra-population functional trait variation (Miller and Rudolf 2011; Persson and De Roos 2013). Theoretical studies have emphasized the importance of the scaling relationship between foraging rate and body size in the dynamics of populations and communities (Persson et al. 1998). Furthermore, recent empirical studies using isotopic analyses revealed that ontogenetic patterns of foraging behavior exhibit considerable inter-individual variation (Kim et al. 2012). Ontogenetic variation in foraging behavior is often associated with differential capabilities of consumers to capture, manipulate and ingest their prey, but also to microhabitat shifts or differential habitat use during ontogeny, leading to an ontogenetic niche shift (Ramos-Jiliberto et al. 2011 and references therein) that is known to influence population and community dynamics (Polis et al. 1996; Takimoto 2003).
The functioning of multispecies food webs is affected by interaction strengths among species, which are governed by foraging rates at the population level, that is, averaged over individuals. Nevertheless, whenever interaction strength scales nonlinearly with some relevant behavioral parameters, both the mean and variance of parameter values determine population interaction strength (Gibert and Brassil 2014). This effect is known as Jensen’s inequality (Jensen 1906; Ruel and Ayres 1999), which is nowadays recognized as an important link between individual trait variation and several ecological processes such as thermal preferences (Martin and Huey 2008), predator reproductive rates (Okuyama 2013) and population dynamics (Okuyama 2008; Estay and Lima 2010).
In this study we analyzed how a model stressor (the pesticide methamidophos) modifies the population level predator–prey interaction strength between Daphnia and its food by shifting the values of individual-level behavioral parameters that govern consumer feeding rates. We focused on the ontogenetic determinants of inter-individual variation in interaction strength and decomposed the effect of pollutant exposure on population interaction strength values into contributions from vertical and nonlinear effects. We showed that nearly 50 % of the effect of the pesticide on predator–prey interaction strength was explained by changes in the distribution of effect sizes over age (i.e. nonlinear effects).
We obtained differences in feeding rates up to 40-fold between older and younger individuals. This explains our difficulties in maintaining the same container size and incubation time across the different consumer ages, which could lead to some error in our estimations. For example, it has been suggested that reductions in container size may affect filtering rates by increasing surface-to-volume ratios and permitting dilute food suspensions to concentrate on surfaces (Horton et al. 1979; Peters and Downing 1984; Enserink et al. 1990). In our case, the differences in medium volume across treatments were not too large, and we attempted to reduce alga settling by gently shaking the containers during trials. Although we made efforts to prevent large errors in estimating feeding rates, our quantitative results should be interpreted with caution. Another limitation of this study is that it was conducted with single strains of D. ambigua and P. subcapitata. However, our decomposition analysis is fully valid, and we expect to use other strains and species in future studies.
Our results give empirical support to the hypothesis that inter-individual variation in feeding behavior during ontogeny affects species interactions, which are known to govern community dynamics (Werner and Gilliam 1984; Nakazawa 2015). In particular, we showed that ontogenetic changes in feeding rates, without invoking diet shift, determine interaction strength among populations. In this way we expand the common view that ontogenetic changes in feeding behavior drive community dynamics solely through niche shifts. Furthermore, we highlight that the effects of perturbations in general, and pollutants in particular, on community functioning can only be understood by considering the changes in the frequency distribution of individual parameter values, and not just considering effects on the mean.
Pollution currently represents one of the main threats to biodiversity (MEA 2005), affecting the vast majority of ecosystems on earth (Groom et al. 2006). The effects of pollutants on ecological systems are being studied at every level of biological organization, from biomolecules to communities and ecosystems. Nevertheless, to develop effective management actions the effects of pollutant must be understood at the highest levels of organization, especially at the population and community levels (Hope 2006; Kelly et al. 2007). In spite of the obvious need to understand how pollutants are affecting natural populations and communities as well as how these impairments could be avoided or minimized, ecological theory has not shown enough progress in this direction, with relatively few successful attempts to filling this gap, especially at the community level (Garay-Narváez et al. 2013, 2014).
Predator–prey interaction strength is known to be a strong determinant of community dynamics (McCann et al. 1998; Kokkoris et al. 1999), and therefore any alteration of its values due to exposure to stressors may affect community stability and species persistence. Methamidophos, as other organophosphate pesticides, is an acetylcholinesterase (AchE) inhibitor. AchE inhibition may cause disturbances in transmission across cholinergic synapses in both central and peripheral nerves, producing a synaptic block of neuromuscular junctions which may finally end in muscle spasms (Ware 1983; Walker 2009). The feeding process in Daphnia, which requires the movement of appendages and the coordination of nervous system, is prone to be affected by AchE inhibition (Fernández-Casalderrey et al. 1994; Villarroel et al. 1998, 1999; Agatz et al. 2013), which could explain why Daphnia functional response parameters are sensitive to methamidophos exposure. Nevertheless, organisms of different age and size are not equally sensitive to any given toxicant. Thus, in a structured population, differential responses of organisms to stressor exposure lead to different shifts in feeding parameters, which in turn could lead to a change in the elevation and curvature of the relation between interaction strength and age. As a consequence of Jensen’s inequality, curvature shifts could either reinforce or dampen the effect of a stressor on the predator foraging rate at the population level, depending on the shape of the interaction strength/age relation. In our study, curvature shift (nonlinear effect) dampened the effect of elevation shift (vertical effect), the latter tending towards decreasing maximum population interaction strength. This means that the effect of pesticide exposure could be overestimated if shifts in curvature are not addressed.
It is well known that many chemical pollutants exert effects of different magnitude on organisms of different age or size (Hutchinson et al. 1998; Vives et al. 2005). In most cases toxicants affect younger individuals in a population more strongly, which is explained by higher bioconcentration of chemicals in smaller organisms. This is because bioconcentration is inversely proportional to body mass (Hendriks 1995; Kooijman 2000) and directly proportional to body lipid content, which decreases during Daphnia development (Bychek and Gushchina 1999). However, in some cases this general pattern is modified during development via changes in the processes of uptake, distribution, biotransformation and elimination of toxicants from the body (Hamm et al. 2001; Vives et al. 2005; Preuss et al. 2008). For example, Collyard et al. (1994) observed that younger organisms of Hyalella azteca were less sensitive to an organophosphate pesticide than older ones, and attributed their results to a less well-developed system of young amphipods for activating the parent phosphorothioate molecule to its toxic oxon derivative. However, our results indicate that individuals of intermediate stages of the life cycle are more affected by the pesticide than those of earlier or later stages. To our knowledge there is no clear or unique explanation for this pattern, but some prior insights may help to understand the mechanisms behind our results. It has been shown that cladocerans are more sensitive to pesticides during their post-molt periods, possibly due to a higher uptake rate (Gliwicz and Sieniawska 1986). This suggests that Daphnia may be more harmed by methamidophos before reaching their first reproductive instar, since more molts occur prior to this stage.
It is likely that different species within a community will exhibit different age-specific changes in several functional trait values driven by stress exposure. The consequences of such effects are not easy to predict without conducting specific experiments. It is nevertheless conceivable that such species-specific shifts in the relation between trait values and age could lead to significant modification of the shape of the frequency distribution of trait values in the community, with unpredictable effects on community dynamics and stability. In the case of interaction strength, deviations from the few-strong-many-weak interaction strength pattern are expected by exposure to stressors, giving rise to interesting and urgent questions for understanding and managing wild ecosystems in the Anthropocene. Future studies could project the consequences of our experimental findings at the population and community levels using dynamic modeling tools.
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Acknowledgments
The authors thank Lidia Aliste-Jara for her assistance in the lab and Leslie Garay-Narváez for critical reading of this manuscript. We also thank Marcela Arancibia for her technical assistance in the experiments. This study was supported by Fondo Nacional de Desarrollo Científico y Tecnológico (Ministry of Education, Chile), by FONDECYT 1150348 Grant to R.R-J. I.H-F acknowledges CONICYT Doctoral fellowship (CONICYT-PCHA/Doctorado Nacional/2015-211521). J.G-B acknowledges graduate scholarship from CONICYT.
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Ramos-Jiliberto, R., Heine-Fuster, I., Reyes, C.A. et al. Ontogenetic shift in Daphnia-algae interaction strength altered by stressors: revisiting Jensen’s inequality. Ecol Res 31, 811–820 (2016). https://doi.org/10.1007/s11284-016-1389-0
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DOI: https://doi.org/10.1007/s11284-016-1389-0