Journal of Ecology 2010, 98, 985–992 doi: 10.1111/j.1365-2745.2010.01693.x Can optimal defence theory be used to predict the distribution of plant chemical defences? Andrew C. McCall1* and James A. Fordyce2 1 Department of Biology, 150 Ridge Road, Denison University, Granville, OH 43023, USA; and 2Department of Ecology and Evolutionary Biology, 569 Dabney Hall, University of Tennessee, Knoxville, TN 37996, USA Summary 1. The optimal defence theory (ODT) of chemical defence provides a predictive framework for the distribution of anti-herbivore defences in plants. One of its predictions is that chemical defences will be allocated within a plant as a function of tissue value, where value is correlated with the cost of having that tissue removed. While many studies have examined intra-plant variation in defence chemistry, these results have rarely been compiled quantitatively to assess whether defence allocation is consistent with the prediction of ODT that more valuable tissues should be more defended than less valuable tissues. 2. We performed a formal meta-analysis of published and unpublished studies to examine the predictive utility of ODT. Specifically, we examined whether defence chemicals occur at higher concentrations in flowers versus leaves and in younger leaves compared to older leaves, under the assumption that younger leaves are more valuable than older leaves. We also examined whether the expansion status of younger leaves, nodal position of the leaves, growing conditions and chemical class of defence compounds affected the mean effect sizes. 3. We found that tissues with higher assumed value had significantly higher concentrations of defence chemicals than tissues with lower value. In particular, we found that younger leaves had higher concentrations of defence chemicals than older leaves, consistent with the predictions of ODT. The magnitude of this difference was higher in the younger leaf⁄ older leaf comparison than in the flower ⁄ leaf comparison, with no evidence that flowers were more defended than leaves. The overall results were not affected by chemical class, young leaf expansion status, growing conditions or leaf position on the plant. 4. Synthesis. We found general agreement between the predictions of ODT and the intraplant distribution of chemical defence and conclude it is a useful model. The effect size varied depending on the tissue compared. Explicit measures of tissue value, in particular as it relates to relative fitness, are required to further validate the predictive utility and general applicability of ODT. Key-words: chemical defence, florivory, herbivory, leaf age, leaf value, optimal defence theory, optimality models, plant–animal interactions, plant–herbivore interactions Introduction Plants employ a wide variety of chemical defences against herbivores. These chemical defence compounds are not evenly distributed across plant tissues or organs. Optimal defence theory (ODT) was developed to explain the distribution of defensive chemicals within a plant (McKey 1974), and it has been useful in predicting some aspects of intra-plant distributions of secondary compounds (McKey 1974; Zangerl & Rutledge 1996). Optimality models, such as ODT, predict that traits are selected to maximize an organism’s fitness. Such models can *Correspondence author. E-mail: [email protected] provide a useful framework for understanding the distribution and variation of traits across taxa. For example, optimality models have been used in predicting or modelling the foraging behaviour (e.g. Charnov 1976; Iwasa, Higashi & Yamamura 1981) and the evolution of reproductive effort (Shertzer & Ellner 2002) in animals. Recently, the marginal value theorem has been used to predict root foraging in plants (McNickle & Cahill 2009) and optimality models have been developed to predict root density under various resource scenarios (Craine 2006). The specific model we investigate in this paper, ODT, predicts that the allocation of defensive chemistry within a plant should be a function of tissue or organ value in terms of fitness ! 2010 The Authors. Journal compilation ! 2010 British Ecological Society 986 A. C. McCall & J. A. Fordyce (McKey 1974). An important assumption of ODT is that defensive compounds are costly to produce. Plants would presumably be selected to employ high concentrations of secondary compounds throughout all of their organs constitutively if costs were negligible and herbivory significantly impacted fitness. These costs can be physiological or ecological (Strauss et al. 2002). Physiological costs can include autotoxicity and the allocation of resources for defence that could otherwise be used for growth and reproduction (but see Herms & Mattson 1992). Ecological costs can include a change in strength or direction of ecological interactions, such as the cost if allocation of defence makes a plant more susceptible to competition from neighbouring plants or if the allocation of defence in flowers deters pollinators (Strauss et al. 2002). If defence is costly, ODT predicts that defence should be allocated to different plant parts as a function of: (i) the rate at which the tissue is attacked in absence of any defence, (ii) the cost, ecological or physiological, of employing the defence in that tissue (McKey 1974) and (iii) the value of a particular tissue to the plant or the cost of removing that tissue (McKey 1974). Workers have hypothesized that young leaves are more valuable than older leaves according to photosynthetic capacity and other physiological features (McKey 1974; Harper 1989; Coleman & Leonard 1995), and ODT has been invoked to explain why younger leaves are more defended than older ones (van Dam et al. 1995a; Traw & Feeny 2008). Similarly, researchers have suggested that flowers might be more valuable than leaves because they are more directly related to sexual reproduction (Strauss, Irwin & Lambrix 2004). Over a decade ago, Zangerl & Bazzaz (1992) observed that research on intraplant chemical defence was relatively rare. Since then, more studies comparing defensive compounds in different tissues have accumulated which permits tests of some of the predictions of ODT. A recent review also suggested the utility of systematic study of defence chemistry in both vegetative and reproductive tissues like flowers in order to understand the link between defence and pollination service (Kessler & Halitschke 2009). This review reported that flowers had higher levels of defensive compounds than leaves in 13 of 14 studies under consideration (Kessler & Halitschke 2009). A possible shortcoming of this summary was that the authors only reported what proportion of all studies showed a difference in the predicted direction, which does not take into account sample sizes or the variation in concentrations of compounds, which could yield a very small overall effect size between leaves and flowers (Gurevitch et al. 1992). The review also did not report whether the differences in chemical defence between flowers and leaves were significant, or whether the defensive compound under scrutiny had any effects on herbivores for any particular study (Kessler & Halitschke 2009). Because of the relative lack of quantitative information on the effectiveness of ODT in predicting defensive chemical concentration in plant tissues of different age or of different organ identity, we asked whether lower-value tissues were less defended compared to higher-value tissues. It is important to note that we are not testing the specific value of different tissues in this paper, but are testing whether, given common assump- tions about tissue value, defensive compounds are allocated in proportion to the assumed values. In particular, we asked a general question, (i) Are more valuable tissues more chemically defended than less valuable leaves?, and two more specific questions: (ii) Are younger leaves more defended than older leaves?, and (iii) Are flowers more defended than leaves? Materials and methods META-ANALYSIS We performed a formal meta-analysis to explore whether ODT is useful in predicting the concentration of putative defensive chemicals among tissues or organs of different values. This method provides a means to summarize and analyse the results of many studies that might differ in their methodology or study organisms, and can statistically separate the effects of different subcategories in a large data set (Rosenberg, Adams & Gurevich 2000). Meta-analyses compute an effect size between two or more groups of subjects and then determine if those effect sizes are significantly different from zero. Our primary question was whether tissues assumed to be higher in value are more defended than tissues of lesser value. We examined whether young leaves are more defended compared to old leaves, and whether this difference is larger than the difference between leaves and flowers. If the magnitude of the difference is larger for leaves of different ages, it would be consistent with the hypothesis that tissue age is more important in determining value than tissue identity or origin. Additionally, we asked if other factors might affect the strength of the hypothesized difference in chemical concentrations between tissues of different value. We tested whether differences in defence intensity were influenced by the type of chemical defence examined, whether the experiment was performed on field-collected leaves or artificially reared plants, whether younger leaves were expanded to full size at the time of chemical quantification, and whether nitrogen content was associated with tissue value. COMPARISONS AND PREDICTIONS Younger versus older leaves Our first prediction was that younger leaves with greater potential to contribute to future fitness would be more defended than older ones (Harper 1989; Iwasa et al. 1996). We define leaf age as how long, in absolute time, a leaf has been on a plant, with new leaves hypothesized to be more valuable than leaves that have been on a plant for a longer time because photosynthetic rates and nitrogen concentrations generally decrease in leaves over time (Mooney & Gulmon 1982). Workers have suggested that younger leaves are more valuable than older leaves (Harper 1989; Coleman & Leonard 1995) and thus should be more defended according to ODT. Another factor that could influence leaf value is the position of the leaf on a stem or branch. Recent studies have shown that leaves at older nodes, usually those at the base of an herbaceous plant, had higher nitrogen concentrations than leaves found at younger nodes when leaf age was held constant (Wiedemuth et al. 2005), or that leaves at older nodes tended to be higher in value than leaves at younger nodes in Brassica nigra, when the age of the leaf was held constant (Traw & Feeny 2008). This implies that a leaf sprouting from an older node contributes relatively more to the fitness of a plant than a younger-node leaf, all other factors being equal (Mooney & Gulmon 1982). ! 2010 The Authors. Journal compilation ! 2010 British Ecological Society, Journal of Ecology, 98, 985–992 Predicting the distribution of plant chemical defences 987 Many of the studies we included in this study sampled leaves of different ages during a single moment in a plant’s lifetime, so that leaves of different ages were produced from nodes of different ages. This design could decrease the difference in value and subsequent defence input between old and young leaves if old leaves are produced at older nodes and if leaves from older nodes contribute more to a plant’s fitness than leaves from younger nodes (Mooney & Gulmon 1982). To investigate whether this factor impacted effect sizes, we ran our metaanalyses with and without studies in which young leaves were also known to be sampled at younger nodes. In many cases we were unable to determine the node of the sampled leaves, so these studies were excluded from these analyses. for terpenes versus other classes of chemicals. Although many individual chemicals are used throughout plants for defence, we used three very broad categories for classification: phenolics, terpenes and defences that contain nitrogen (e.g. alkaloids and cyanogenic compounds). There is a great deal of variation in the defensive efficacy and mode of biological activity within each of these categories, but they are dissimilar in structure and consistent with traditional classification schemes historically used in the literature. Furthermore, a narrower criterion for chemical classification would result in categories with very few samples, reducing our power for statistical comparisons among categories. Artificial versus field conditions Expanded versus unexpanded young leaves Newly emerged leaves go through a period of expansion before attaining full size. Because some of the studies examined young leaves still in the expansion stage, we also asked whether the differences in chemical defence between leaf ages depended on whether the young leaves in a study were still expanding or had reached maximum size. Lower concentrations of defensive compounds in older leaves might be due to passive diffusion of chemicals as a leaf ages and expands (McKey 1979; Read et al. 2003) or a more active breakdown ⁄ reallocation of defensive compounds away from older leaves and into younger leaves (van Dam et al. 1995b). We tested whether the effect size depended on whether the young leaves from a study were fully expanded at the time of chemical sampling or were at a pre-expansion stage. Because artificial conditions in glasshouses, gardens or field plots supplemented with water or fertilizer could affect the difference in defence between low and high-value tissues, we also tested whether the effect size depended on growing conditions. Our prediction was that plants grown under artificial conditions might be less resourcelimited compared to plants grown under natural field conditions, thereby decreasing the overall costs of employing defence and leading to smaller differences in defensive chemical concentrations between young and old leaves. This prediction is consistent with Koricheva’s (2002) finding that the costs associated with chemical defence were significantly lower in controlled environments compared to field studies. We excluded those studies for which we were unable to determine if the plants were grown under artificial conditions. NITROGEN-BASED MEASURES OF VALUE: Flowers versus leaves META-ANALYSIS Flowers are required for sexual reproduction in angiosperms, and thus might be more valuable compared to leaves (Strauss, Irwin & Lambrix 2004). Following the predictions of ODT, flowers might have higher concentrations of defensive compounds than leaves, especially in plants that are not self-compatible (Smallegange et al. 2007; Kessler & Halitschke 2009). Our prediction was that flowers would have higher levels of defensive compounds than leaves produced concomitantly with flowering because the costs of deterring pollinators might be offset by the benefit of protecting flowers against florivores. Alternatively, if flowers tend to be more ephemeral, this property might select for lower defences than in longer-lived leaves (Strauss, Irwin & Lambrix 2004). It is important to note that we did not consider studies that looked at chemical defences in nectar only because these compounds might have other functions besides deterring herbivores (Rhoades & Berghdahl 1981) and because most of our studies on flowers (10 ⁄ 12) did not separate petal tissue from the rest of the flower, so chemicals in the nectar could contribute to the overall chemical concentrations in those tissues. For our meta-analyses we used generally held hypotheses about the value of different tissues, based on the assumption that removal of tissue is a good way to measure value. Another way to determine value is to use the concentration of nitrogen in tissues, because nitrogen is often a limiting nutrient in terrestrial ecosystems (Xia & Wan 2008). Younger leaves might be valuable because they can contribute more to the future fitness of a plant (Harper 1989). For example, Traw & Feeny (2008) found that leaf value was significantly correlated with nitrogen concentration in Brassica nigra and B. kaber. We performed a meta-analysis on the subset of studies that included nitrogen concentration of plant tissues being compared in order to determine if younger leaves had higher concentrations of nitrogen compared to older leaves (nitrogen concentrations were not available for studies examining flowers). Chemical class Optimal defence theory explicitly assumes that plants incur some cost when employing defences; we were therefore interested in examining intra-plant defence across various classes of chemical compounds. Evidence for different costs for different chemicals has been found previously: Koricheva (2002) showed that the relationship between growth and chemical concentration was negative for phenolics and alkaloids but was positive for terpenes, suggesting smaller costs in the production of terpenes. Thus, we also investigated whether the effect size between high and low-value tissues depended on chemical class, with the prediction that the difference would be significantly lower DATA SELECTION AND ANALYSIS We found studies by searching the ISI Web of Science for combinations of keywords pertaining to defensive compounds and different plant tissues or leaves of different ages. Examples of these search combinations were ‘optimal defence theory’, ‘chemical defence and plant tissue’, and ‘chemical defence and flower ⁄ leaf’. In order to find the greatest number of useful articles we did not restrict our search to any particular journals. Although the search window was set from 1900 to 2009, the earliest study we were able to use was from 1980. We also consulted relevant reviews for cited references [e.g. Zangerl & Bazzaz (1992); Kessler & Halitschke (2009)]. Because meta-analyses depend on the quality of data that can be found and screened, we employed a number of criteria to ensure the quality and relevance of studies. We included those studies that reported mean chemical concentrations, standard deviations (in ! 2010 The Authors. Journal compilation ! 2010 British Ecological Society, Journal of Ecology, 98, 985–992 988 A. C. McCall & J. A. Fordyce numerical or graphical form), and sample size of leaves of different ages on a single plant. When leaves were sampled at many different ages or stages, we chose the most extreme ages for comparison. We excluded studies on cultivated species because ODT was originally developed as a framework to explain how natural selection might shape defensive traits. By definition, cultivated species have been, and continue to be, under artificial selection. Artificial selection has been shown to affect the distribution and concentrations of defensive compounds (Rosenthal & Dirzo 1997; Lindig-Cisneros, Dirzo & Espinosa-Garcia 2002; Mondolot et al. 2008). Thus, ODT provides no expectation for the distribution of defensive compounds in cultivated plants and including them in the present study would be problematic. We only used data if the chemical or members of the same class of compounds were shown to be effective at reducing herbivory in the plant species under study, or members of the same plant family, either through deterrence or decreased herbivore performance. This criterion excluded many studies with putative defensive chemicals that have no demonstrated effect on herbivores. Since ODT is concerned with the evolution of defences in plant populations, we also used only those studies that explicitly used individual plants as replicates, and thus where measures of variance were computed among individuals. This criterion also excluded many studies where either tissues or leaves of a certain age were pooled, and in which replicates consisted of repeated samplings of the same pooled quantity (e.g. Vetter 1995). Whenever needed, and if possible, the original authors of studies were consulted to clarify details of the methods or the results. To limit the number of comparisons within each species, and thus avoiding pseudoreplication (Abrami et al. 1988), we used the following guidelines. (i) If there were multiple populations examined within a single species, we chose a single population at random. (ii) For work that examined a single species and analysed multiple chemicals of the same class, we used the chemical found at the highest mean concentration, as long as it conformed to the other requirements of our analysis. (iii) If a study examined more than one chemical class per species, we included each chemical class, with a maximum of three chemical classes per species. Our methods excluded many of the studies listed by Zangerl & Bazzaz (1992) and Kessler & Halitschke (2009) because estimates of variation or sample sizes were not provided in the original studies. When only graphs were available in a study, we measured means and standard deviations or standard errors directly from the figures in ImageJ (U.S. National Institutes of Health) employing a modification of a method used by Sistrom & Mergo (2000). If only standard errors were available, we calculated the standard deviations using the sample size reported within each group. To calculate effect size we used Hedge’s d (Hedges, Gurevitch & Curtis 1999; Rosenberg, Adams & Gurevich 2000), which uses the difference in values between the experimental and control treatments divided by the pooled standard deviation multiplied by a correction term to take into account small sample sizes. We assigned the tissue with the hypothesized higher value to the experimental group, so positive values of d show that higher-value tissues have higher defensive chemical concentrations. We also ran the analyses using another effect size estimate, the response ratio (Rosenberg, Adams & Gurevich 2000), which yielded results qualitatively and quantitatively similar to results from when Hedge’s d was used. Data exploration was performed by visually inspecting the normal quantile–quantile plot between standardized effect sizes and those predicted under the normal distribution (Wang & Bushman 1998; Rosenberg, Adams & Gurevich 2000). As the visual inspection showed that the effect sizes were approximately normal, we used parametric statistics throughout the analyses. When testing for significant differences among subsets of the data, we used the Q statistic of heterogeneity with a mixed model to account for random effects within studies. Accounting for within-study random effects is more appropriate for ecological studies compared to a fixed-effects model that assumes the error within each study is relatively constant across studies (Rosenberg, Adams & Gurevich 2000) We also calculated Rosenthal’s number, which is the number of unpublished non-significant studies that would need to be added to the analysis before the overall effect size becomes insignificant. This phenomenon is sometimes called the ‘file-drawer effect’ because nonsignificant results often remain unpublished. In general, if this number is greater than 5n + 10, where n is the number of comparisons, then the results are considered robust to the effects of publication bias (Rosenthal 1979). All analyses were performed using MetaWin 2.0 (Rosenberg, Adams & Gurevich 2000). Results We found 140 appropriate comparisons from 33 published studies and 3 unpublished studies that met our criteria for inclusion in the meta-analysis (see Appendix S1 for a list of the studies, Table S1 for the plant species examined in and explanatory categories assigned to each study and Table S2 for chemicals measured, effect sizes and variances for each study, all available in Supporting Information). Consistent with the predictions of ODT, tissues with higher predicted value had significantly higher concentrations of defensive chemicals compared to less valuable tissues (Fig. 1, Table 1). When studies confounding leaf age and nodal position were excluded, the effect size was smaller, although still significant (Fig. 1, Table 1), and whether studies looked at unexpanded vs. expanded young leaves did not affect the effect size (Q = 0.03, P = 0.88, Fig. 1, Table 1). The effect size of the leaves vs. flowers comparison was significantly lower than the effect size of younger vs. older leaves (Q = 5.59, P = 0.05, Fig. 1, Table 1). Chemical class did not significantly influence effect size (Q = 1.37, P = 0.64, Fig. 1, Table 1), and there was no effect of artificial vs. field conditions on the effect size (Q = 0.24, P = 0.69, Fig. 1, Table 1). For the meta-analysis examining within-plant nitrogen concentration, we found 19 comparisons from six published studies showing that younger leaves had significantly higher concentrations of nitrogen than older leaves (Fig. 1, Table 1). Discussion Given the importance and prevalence of ODT in many studies investigating chemical defence, it is important to determine if the data are consistent with its predictions. Our analysis shows that the distribution of defensive compounds in plants is consistent with the predictions of ODT. Specifically, concentrations of defensive chemicals were higher in tissues with higher putative values than in tissues with lower values. The mean effect size was significantly greater than zero, and robust to the file-drawer effect, with 1899 studies with null results needed in order to render the effect size non-significant at a = 0.05 – a number of studies much larger than the critical value of 710 (5n + 10) studies. ! 2010 The Authors. Journal compilation ! 2010 British Ecological Society, Journal of Ecology, 98, 985–992 Predicting the distribution of plant chemical defences 989 Effect size (Hedge's d) 4 3 29 7 45 2 27 58 70 15 36 18 37 34 12 1 0 NPT F L W/o confounded All Tissue A F EU Nitrogen Conditions Expansion Chemical class Fig. 1. Results of the meta-analysis showing mean effect sizes and 95% confidence intervals of defensive chemical concentrations in tissues of different value. Numbers above the bars are the number of studies in each category. All effect sizes are based on chemical concentrations in higher-value tissues minus concentrations in lower-value tissues, with positive effect sizes supporting the predictions of optimal defence theory (ODT). ‘All’ refers to all of the studies examined. ‘Tissue’ refers to whether the difference between flowers and leaves (F) or the difference between young leaves and old leaves (L) was examined. ‘W ⁄ o confounded’ are studies where leaf age (young or old) was not confounded with position on the plant. ‘Chemical class’ refers to whether the studies looked at nitrogen-containing compounds (N), phenolics (P) or terpenes (T). ‘Conditions’ refers to the growing conditions of the plant, artificial (A) or field (F). ‘Expansion’ refers to whether the young leaves were at full expansion (E) or unexpanded (U) when leaves were sampled for defensive compounds. ‘Nitrogen’ is the mean effect size between nitrogen concentrations in morevaluable versus less-valuable tissues. Table 1. Report of Q statistics showing whether there is a significant effect of different levels of explanatory factors (e.g. chemical class) on effect sizes. For rows without different levels, Rosenthal’s number indicates how many studies of no effect are needed to render the effect size insignificant Category (no. of comparisons) All studies (70) Leaves vs. flowers (12) Younger leaves vs. older leaves (58) Without confounded studies (45) Nitrogen-containing (34) Phenolics (7) Terpenes (29) Artificial conditions (27) Field conditions (37) Expanded young leaves (36) Unexpanded young leaves (15) Nitrogen and value (18) Rosenthal’s number Q (d.f.) P N⁄A 5.59 (1,68) N⁄A 0.05 1899 N⁄A N⁄A 1081 1.37 (2,67) 0.64 0.24 (1,62) 0.69 0.03 (1,50) 0.88 N⁄A N⁄A 106 Our results on leaf age and chemical defence are consistent with the predictions of ODT, given that younger leaves are more valuable than older leaves. Younger leaves usually are more photosynthetically active than older leaves (Wiedemuth et al. 2005) and thus are hypothesized to be more valuable than older leaves, all other factors being equal. There was little effect of whether young leaves were expanded or not, suggesting that the differences among leaves of different ages are not simply due to expansion of young leaf area as that leaf matures. Excluding studies where nodal position was confounded with leaf age had little impact on the overall effect sizes suggesting that absolute leaf age might be more important than position on the stem. We note, however, that many studies had no information regarding nodal position of leaves. It is important to note that while we performed our analysis under the assumption that younger leaves are more valuable than older leaves, this may not always be the case. A common strategy among shade-tolerant tropical plants is to delay greening and employ very rapid expansion of young leaves (Kursar & Coley 2004). In this case, plants should be selected to defend older leaves more because they are the tissues with the highest potential lifetime contribution to photosynthesis. Although Kursar & Coley (2003) showed that plants with fast-expanding young leaves were less defended than plants with slowly expanding young leaves, the data in that work were not appropriate for our meta-analysis because defensive compound concentrations of unmanipulated plants were not reported. Because tropical plants comprise a large proportion of the planet’s biodiversity and delayed greening and rapid expansion are common strategies in the tropics, future work could use the meta-analytic framework to test whether defensive compounds in young leaves are found in lower concentrations in those species that employ the delayed greening tactic versus plants with young leaves that expand more slowly. We restricted our analysis to studies that address the original intent of ODT, i.e. explaining the intraplant distribution of defensive secondary compounds (McKey 1974). However, the roles of inducible defence and resistance (Karban & Baldwin 1997), indirect defences such as mutualistic, biotic defences (e.g. Heil & McKey 2003), mechanical defences such as trichomes and laticifer systems (e.g. Farrell et al. 1991), and the interactions among them, are increasingly playing an important role in plant defence theory. For example, researchers have found that extrafloral nectar production rates (Wäckers & Bonifay 2004; Radhika et al. 2008; Holland, Chamberlain & Horn 2009) and trichome densities (Traw & Feeny 2008) are correlated with assumed tissue value. Volatile organic compounds (VOCs) are also emitted at higher rates from younger leaves than from older leaves in Glycine max (Rostás & Eggert 2008). Similarly, the inducibility of chemical defences might be correlated with tissue value (Zangerl & Rutledge 1996; Strauss, Irwin & Lambrix 2004). As our understanding of the ecology and evolution of these defensive strategies continues to mature, it will be important to incorporate them into future optimality models aimed at elucidating the selective factors responsible for plant defence strategies. There was a significant effect of whether comparisons were made on flowers versus leaves or younger versus older leaves. In particular, there was no evidence that flowers were more defended than leaves, but younger leaves were more defended ! 2010 The Authors. Journal compilation ! 2010 British Ecological Society, Journal of Ecology, 98, 985–992 990 A. C. McCall & J. A. Fordyce than older leaves. This suggests that tissue age might affect defence allocation more than tissue identity alone. We note, however, that the sample size was much smaller for the flowers versus leaves comparison and that our results might be due to a lack of power. Alternatively, our findings that flowers are not defended more than leaves might indicate that the generally held assumption that flowers are more valuable than leaves is incorrect. For example, if a plant makes many flowers and a small proportion of them actually set fruit, flowers might be less valuable than a single leaf that could produce enough resources to mature several fruits. We did not have data on the number of flowers produced per plant in many of our studies that looked at defences in flowers, but this would be important data to provide in future experiments. Other factors besides value might select for less intense defences in flowers. For example, because flowers are generally more ephemeral than leaves, reproductive tissues might have a lower probability of attack than leaves (McCall & Irwin 2006). The composition of defence chemicals in flowers might also be different from that in leaves, and it could lead to erroneous conclusions if we assumed the same defensive compounds are used throughout the plant in different concentrations. This is a general drawback of the ODT, because it assumes that similar defences with similar costs are used throughout a plant to defend different tissues. Future studies could examine a wider range of potentially defensive compounds in flowers and leaves to ensure multiple defences are considered. A final problem with our floral defence results is that defences in the nectar could mask the true concentrations of chemicals in other floral tissues like the corolla. It would thus be useful for future researchers to remove nectar before processing the rest of the flower or to consider the corolla alone in their studies. Some of our categorizations failed to explain the variation in the effect sizes. For example, we failed to detect a significant effect of chemical class on effect size. This does not support the suggestion by Koricheva (2002) that terpenes are produced at a lower cost than phenolics or nitrogen-containing defences like alkaloids. As a caveat, we note that there were relatively few (seven) studies looking at phenolics in our analysis, perhaps limiting the power to discern larger differences in effect size among the classes. Artificial conditions often yield different results than field settings when examining chemical defence (Ormeno et al. 2008). However, we found no evidence that environment affected the effect size among tissues of different value. We also found that nitrogen concentration was significantly greater in higher value tissues compared to lower value tissues, suggesting that nitrogen concentration can serve as a useful proxy to initially determine value if other methods are not available. Some caution should be taken with these results, however, since relatively few (106) studies of no effect were needed to render the effect size not significant, which is only slightly above the critical number of 105 (5n + 10) studies. Optimality models such as ODT are useful because they usually apply to a broad range of organisms and are often very good at predicting life-history traits or behaviours (Mäkelä et al. 2002). For example, we showed that younger leaves, being more valuable, are better defended than older leaves. In another example, the optimal gas exchange model has been successful at predicting the daily fluctuations in photosynthesis and stomatal conductance (e.g. Hari et al. 1999). Despite their general usefulness, optimality models can be improved when applied to particular groups of organisms like plants. For example, because leaves produced at old nodes may be more valuable than leaves produced at younger nodes when age is held constant (Wiedemuth et al. 2005; Traw & Feeny 2008), we believe that it is important that workers report the absolute positions of old versus young leaves when testing defences between these tissues. Another suggestion for future work is that the value of different tissues should be tested, rather than assumed, when ODT is invoked to explain differences in defensive chemical concentrations. Removal of different tissues followed by fitness estimates would be the most direct method of determining value (McKey 1979). This method has been used in several studies (Nitao & Zangerl 1987; Barto & Cipollini 2005; Traw & Feeny 2008), but it should be used more often. Researchers employing tissue removal to assess value should consider what part of the tissue is removed and how equivalent amounts of tissues are measured. This is especially important when testing the value of flowers and leaves because certain structures like the ovary may be more valuable than other structures in the flower, like the petals. For example, if one removes 1g of leaf tissue, does one simply remove an equivalent mass of entire flowers, or does one remove only the structures that are actually consumed by herbivores? We suspect that removing those structures or areas that are actually consumed in nature is the most appropriate method, but this requires appropriate natural history knowledge of the plant– herbivore interaction under investigation. More studies should also consider whether inducible defences are being measured when they are not explicitly considered in the experimental design. Although most of the studies we included here tacitly considered only constitutive measures, our results could have been affected if tissues had already been induced. This could especially be true in field studies, where damage to other parts of the plants could induce chemicals in undamaged tissues. Ignoring induced defences could also be problematic if they are more effective than constitutive defences in some environmental contexts, such as areas that have variable levels of herbivory over generational time. We conclude that ODT is useful in predicting the allocation of defensive compounds among tissues of differing absolute age and there is little evidence that this effect is influenced by leaf expansion, chemical class or growing conditions. As other authors have made clear (Stamp 2003), general theories for the distribution of chemical defences in plants are difficult to formulate and test explicitly, but as more data are published, we hope that meta-analyses that consider several taxa and situations at once will help us think more clearly about this important question in plant ecology. Acknowledgements We would especially like to thank Jean Langenheim, M. M. Hay-Roe and Rebecca Irwin for sharing unpublished data. We thank Joe Bailey, Judie ! 2010 The Authors. Journal compilation ! 2010 British Ecological Society, Journal of Ecology, 98, 985–992 Predicting the distribution of plant chemical defences 991 Bronstein, Richard Karban, Jennifer Lau, the Handling Editor and three anonymous reviewers for very helpful comments on earlier drafts of this work. This work was supported, in part, by a U.S. National Science Foundation grant (DEB-0614223) to J.A.F. References Abrami, P.C., Cohen, P.A. & Dapollonia, S. 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(1996) The probability of attack and patterns of constitutive and induced defense: a test of optimal defense theory. American Naturalist, 147, 599–608. Table S1. List of studies and species grouped into categorical variables. Received 4 November 2009; accepted 8 June 2010 Handling Editor: Martin Heil Table S2. List of studies, species, chemicals measured, effect sizes and the variance of the effect sizes. Supporting Information Additional supporting information may be found in the online version of this article: As a service to our authors and readers, this journal provides supporting information supplied by the authors. Such materials may be re-organized for online delivery, but are not copy-edited or typeset. Technical support issues arising from supporting information (other than missing files) should be addressed to the authors. Appendix S1. List of references used for the meta-analyses. ! 2010 The Authors. Journal compilation ! 2010 British Ecological Society, Journal of Ecology, 98, 985–992
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