Functional Ecology 2013 doi: 10.1111/1365-2435.12058 Herbivory mediated by coupling between biomechanical traits of plants and grasshoppers bastien Ibanez*,1, Sandra Lavorel2, Sara Puijalon3 and Marco Moretti1 Se 1 Community Ecology Research Unit, Swiss Federal Research Institute WSL, CH-6500, Bellinzona, Switzerland; Joseph Fourier B.P.53, 38041, Grenoble CEDEX 9, Laboratoire d’Ecologie Alpine UMR CNRS 5553 Universite de Lyon, UMR 5023 ‘Ecologie des Hydrosystemes Naturels et Anthropises’ Universite Lyon 1, France; and 3Universite CNRS, ENTPE, 69622, Villeurbanne, France 2 Summary 1. Despite their potential to provide a mechanistic understanding of ecosystem processes, the functional traits that govern interaction networks remain poorly understood. We investigated the extent to which biomechanical traits are related to consumption in a plant–grasshopper herbivory network. 2. Using a choice experiment, we assessed the feeding patterns of 26 grasshopper species for 24 common plant species from subalpine grasslands. We quantified shear and punch toughness for each plant species, while grasshopper incisive and molar strengths were estimated by a lever mechanics model, following the measurement of mandibular traits. 3. Models incorporating co-phylogenetic effects showed that the ratio between the grasshopper incisive strength and plant toughness, that reflects the cutting effort, is correlated with the mass of plant eaten. Moreover, a strong relationship between the incisive strength of the grasshoppers and the weighed mean toughness of the plants they eat was found. 4. Our results suggest that biomechanical constraints imposed by plants influence the evolution of grasshoppers’ mandibular traits. Such scaling relationships offer promising avenues towards the understanding of trait – function links in interaction networks. Key-words: cafeteria experiment, functional trait, incisive and molar strength, interaction network, phylogenetic model, shear and punch toughness Introduction Complex networks of interacting species have been increasingly studied during the past 10 years (Proulx, Promislow & Phillips 2005), but the mechanisms that rule interactions in species-rich assemblages remain underexplored (Vazquez et al. 2009). Functional traits have been successfully used to explain patterns of interaction between species. For example, Petchey et al. (2008) showed that body size and foraging behaviour influence interaction probabilities in trophic networks. Ibanez (2012) demonstrated that the combination of the morphology of the proboscis of insects with the morphology of the nectar holders of flowers governs interactions between plants and pollinators, while Honek et al. (2007) showed that carabid beetles select seed sizes according to their own body size. These pioneering studies have paved the way towards a better understanding of the mechanisms that rule interactions in species-rich assemblages. *Correspondence author. E-mail: [email protected] In the case of herbivory, it has been demonstrated that feeding patterns are influenced by several plant traits, such as nitrogen content (Perez-Harguindeguy et al. 2003; Loranger et al. 2012), constitutive and inducible secondary compounds (Mole & Joern 1994) and structural traits such as spinescence, pubescence, sclerophylly and abrasiveness (Dıaz et al. 2007; Hanley et al. 2007; Reynolds, Keeping & Meyer 2009; Keathley & Potter 2011) or a combination of these traits (Perez-Harguindeguy et al. 2003; Loranger et al. 2012). For instance, Peeters, Sanson & Read (2007) showed that the abundance of leaf chewers on bushes was negatively correlated with leaf tissue toughness, that is, a measurement of the energy required to fracture the leaf (Aranwela, Sanson & Read 1999). This suggests that toughness worked as a barrier trait (Santamarıa & Rodrıguez-Girones 2007) preventing insects from chewing the leaves. In turn, the diet of herbivores appears to be related to several traits, such as the craniodental anatomy of grazing ruminants (Codron et al. 2008), the mandible shape of grasshoppers (Isely 1944; Patterson 1984; Bernays 1991) and the size of their heads (Bernays & Hamai 1987). © 2013 The Authors. Functional Ecology © 2013 British Ecological Society 2 S. Ibanez et al. In his pioneering studies, Patterson (1983, 1984) measured several functional traits of the grasshoppers’ mandibles and showed they were correlated with their diet (either grass, forb or mixed feeders), thus comparing continuous morphological traits to discrete diet attributes. Despite such evidence, no study to date has explored how quantitative information on functional traits of both guilds can be combined to understand the mechanisms that govern interactions in species-rich assemblages of plants and herbivores. In this study, we attempt to fill this gap by analysing the consumption behaviour of generalist herbivore grasshoppers (Caelifera) and bush crickets (Ensifera), here used as model organisms (hereafter referred to as ‘grasshoppers’ for simplicity). Grasshoppers can be very abundant in open plant communities, consuming up to 30% of the plant biomass in mountain grasslands (Blumer & Diemer 1996). Our study took place in the same type of ecosystem, in subalpine grasslands of the central French Alps. Grasshoppers are typical chewing insects whose mandibles are composed of an incisive and a molar region (Isely 1944; Clissold 2007). Grass-feeder mandibles have long blunt incisor cusps and parallel molar ridges, while forb-feeder mandibles have short sharp incisor cusps and several molar cusps instead of ridges (Smith & Capinera 2005; Clissold 2007). The incisive region of both mandibles acts as scissors cutting plant fragments that will subsequently be handled by the molar region which chews these fragments (Clissold 2007). We propose to refine the coarse approach which contrasts the discrete mandibular traits of grass vs. forb-feeding species, by considering quantitative relationships among the biomechanical traits of plants and those of grasshoppers to explain their interactions. The main purpose of our study was to evaluate the link between the mandibular strength of different grasshopper species relative to the toughness of their preferred plants. To do this, it was necessary to quantify plant consumption by grasshoppers in standardised conditions, to avoid the confounding effects on plant abundance and plant architecture occurring in the field. For this purpose, we designed a ‘cafeteria’ choice experiment (Cornelissen et al. 1999; Perez-Harguindeguy et al. 2003), in which 26 native grasshopper species were given the opportunity to feed on a variety of 24 common plant species from subalpine grasslands in the Central French Alps. We then measured plant and grasshopper biomechanical traits to quantify their relationships and identify the mechanisms that drive plant choice by these herbivores, also accounting for phylogenetic effects. municipality of Villar d’Arene in the Central French Alps near Lautaret Pass (06°24′ 22″E, 45°02′ 05′′N). They were brought into a cage (L = 8 m, l = 3 m, H = 2 m) covered by an insectproof mesh (Boddingtons, Leipzig, Germany), containing eighteen 40-cm diameter pots with intact monoliths from various local plant communities. Because grasshoppers are capable of learning (Dukas & Bernays 2000), we forced them to encounter all the plant species that occur in the study area, during their last developmental stages for at least 15 days before the cafeteria experiment. The day before each cafeteria experiment session, fresh and intact leaves of 24 plant species (see Appendix S2), representative of the communities in the study area, were collected in the field and immediately hydrated for one night in dark and cool conditions (4°C). These plant species were either dominant or subdominant in the natural communities in the study region, and their functional traits cover the functional range of those communities (Lavorel et al. 2011). For the cafeteria experiment, we offered whole leaves for consumption rather than standardising a leaf area (e.g. 1 cm2 for each plant species, Perez-Harguindeguy et al. 2003) because preliminary tests showed that leaf fragments dried out too quickly and became unpalatable and difficult to measure. Leaves were randomly placed each time into a 40 cm 9 20 cm 9 4 cm box closed with a cover, and they were hydrated by a 2 mL snap-cap vial of water, to prevent desiccation, at room temperature. Adult grasshoppers were collected from the greenhouse, starved for one night (which we expect is often the case in nature, at least in subalpine environments) and then introduced into the box. Each cafeteria session was conducted with a single individual. After each session, an entirely new set of leaves was placed in the box. For each of the 26 tested species, we assessed the feeding patterns of five females and five males in a single session, for a total of 260 sessions. The sessions were conducted over 26 days, with 10 sessions in 10 different boxes per day. Each session lasted 5 h, at the end of which each leaf was checked for herbivory signs, and, if any, the proportion of the area eaten was estimated visually. The eaten leaf mass was estimated by multiplying the proportion of the leaf eaten by the mean area of nine leaves of the plant species measured before the experiment and by the leaf mass per area of each plant species. We found that visual estimation was more reliable than image analysis because preliminary investigations showed that the variations in leaf area due to changes in the water content in leaves during the experiment were of the same order of magnitude as the area eaten. The leaf mass of each plant species eaten by the five grasshopper individuals of each species and sex was summed. The final data set used in the analysis consisted of 52 vectors of plant consumption, one for each grasshopper species and sex. Hereafter, the set of grasshopper species that consumed a given plant species will be referred to as ‘consumers’. A ‘consumption probability’ of 1 will refer to when a consumption event between a grasshopper and a plant was recorded, and of 0 if not. ‘Consumption intensity’ will refer to the dry mass of plant consumed by a grasshopper species when the corresponding consumption probability equals 1. The cafeteria experiment with 24 plant species was preferred to paired comparisons which required too many tests (276 paired tests discriminating the 24 plant species for each grasshopper species). It should be pointed out that the physiological status of the grasshoppers changed during the cafeteria experiment given that they were feeding during the selection process. Material and methods GRASSHOPPER BIOMECHANICAL MODEL AND CAFETERIA CHOICE EXPERIMENT MEASUREMENTS In June 2010 and 2011, juvenile grasshoppers belonging to 26 species (see Appendix S1 in Supporting Information) were collected in subalpine grasslands on the southern aspect of the To estimate the incisive and molar strength of the grasshoppers, we used a biomechanical model based on a third-order lever (Clissold 2007) represented in Figs 1 and 2, and described by the formula: © 2013 The Authors. Functional Ecology © 2013 British Ecological Society, Functional Ecology Biomechanical traits mediate herbivory 3 F ¼ FA LA =L where F is the incisive or molar strength, FA the adductor muscle strength, LA the adductor muscle lever, L the incisive (LI) or molar lever (LM). Because the angle of attachment alpha varies during the movement of the mandibles and its measurement needs 3D imaging (Paul & Gronenberg 1999), we therefore assumed, for simplicity, that alpha was constant across all species. This hypothesis is relaxed in Appendix S3, in which the thickness of the plants is taken into account. We estimated FA, that cannot be measured based on photographs, with two different proxies: (i) the mandible section area A (Fig. 1) and (ii) the jaw area, estimated as the product of head height and head width. Both proxies are expected to be correlated with the volume of the adductor muscle that occupies most of the head of the insects (Paul & Gronenberg 1999). These two different proxies were used to improve the robustness of the analysis. The estimated incisive FI and molar FM strengths are defined as follows: incisive strength (and molar strength respectively) is distributed all along the incisive region length (resp. the molar area) during the cutting process (resp. the chewing process). The estimated FI and FM are not equal to the real incisive and molar strengths, which cannot be directly measured. They rather correspond to relative indexes that can be used for comparisons among different grasshopper species. The body size of the grasshoppers was estimated by the sum of the head length, the pronotum length and the posterior femur length. Mandibular traits were measured on all grasshopper individuals, which were placed in plastic tubes filled with 70% ethanol immediately after the cafeteria choice experiment. Because grasshopper mandibles are asymmetrical, all the traits used in the biomechanical model (Fig. 1) were measured on photographs of the left mandible (Patterson 1983), previously dissected from each individual and photographed with a digital camera (Eurocam, Euromex, Arnhem, Holland). Each photo was calibrated manually and analysed with the free software JMICROVISION (RODUIT 2011). FI FA LA =LI 1=RI FM FA LA =LM 1=RM where RI is the incisive region length and RM is the molar region area. The standardisation by RI and RM is crucial because the PLANT BIOMECHANICAL TRAITS Shearing and punching tests were used to measure the specific work required to punch and to shear leaves (Aranwela, Sanson & Read 1999; Sanson et al. 2001). Shearing tests measure the force required to cut the leaf lamina with a razor blade (Ang, Lucas & Tan 2008). Punching tests (‘punch and die’ tests) measure the force required to punch a hole through the leaf lamina (Aranwela, Sanson & Read 1999; Sanson et al. 2001). All traits were measured on mature leaves, within 48 h after plant collection in the field. For each species, each test was undertaken on 10 randomly chosen leaves. Punching and shearing tests were performed on a universal testing machine (Instron 5942, Canton, MA, USA). PUNCHING TEST Fig. 1. Morphology of a grasshopper mandible, showing the incisive region (of strength FI and length RI), the molar region (of strength FM and area Rm, in light grey). The incisive (LI), molar (LM) and adductor muscle (LA) levers are measured from the axis of rotation defined as the line between the attachment points to the head (dark grey). The mandible section area (A, light grey) is used as a proxy for the adductor muscle strength (FA). We built a device consisting of a flat-ended cylindrical steel rod (punch, 20 mm diameter) mounted onto the moving head of the testing machine and a stationary base with a sharp-edged hole with a 01 mm clearance (following Aranwela, Sanson & Read 1999; Sanson et al. 2001). The punch was set to go through the hole without any friction. The punch moved downward at a constant speed of 10 mm s1. The leaves were positioned to avoid primary and secondary veins where possible. However, the grasses’ toughness we actually measured might have been slightly higher than the grasses’ toughness experienced by Gomphocerinae species because Gomphocerinae species cut across veins during their first bites and then cut down the leaves along lines of least resistance (Clissold 2007). Leaf thickness was measured with a digital thickness gauge (001 mm), avoiding major veins. The load applied to the leaf (N) and the displacement (m) were recorded simultaneously with a frequency of 10 Hz. The total work to punch (Wpunch) in Joules corresponds to the area under the force–displacement curve (Aranwela, Sanson & Read 1999; Read & Sanson 2003). Wpunch was used to calculate: 1. the work to punch: WP = Wpunch/A (J m2) 2. the specific work to punch (work to punch per unit of leaf thickness): SWP = (Wpunch/A)/T (J m2 m1) with A being the area of the punch (m2) and T the leaf thickness (m). Fig. 2. Biomechanical third-order lever model using traits measured in Fig. 1. Incisive and molar strengths are estimated as: FI ~ A LA/LI 1/RI and FM ~ A LA/LM 1/RM (see methods for details). SHEARING TEST Shearing tests were conducted with a leaf-cutting device following Ang, Lucas & Tan (2008). A single stainless steel blade of a © 2013 The Authors. Functional Ecology © 2013 British Ecological Society, Functional Ecology 4 S. Ibanez et al. straight razor (Dovo, Solinge, Germany) was mounted on the moving head of the testing machine with an approach angle of 20°. The leaf was positioned on two supports (with a 15 mm span), placed so that the blade was equidistant from the two supports. The blade was moved downward at a constant speed of 10 mm s1, shearing the leaf into halves. The cut position was perpendicular to the midrib and equidistant between the base and apex of the leaves. To avoid the midrib, different parts of the leaves were cut for different species (entire leaf, half leaf or leaf strip bordering the central vein) according to leaf morphology. The width and cross section area sheared were measured by making a thin cut adjacent to the shearing plane. Images of the cuts were taken using a binocular microscope and a digital camera. They were then analysed with IMAGEJ 102 to calculate width and area. As for Wpunch, the total work to shear (Wshear, J) was used to calculate (Aranwela, Sanson & Read 1999; Read & Sanson 2003): 1. the work to shear per unit leaf width: WS = Wshear/w (J m1) 2. the specific work to shear per unit leaf cross section area: SWS = (Wshear/C) (J m2) with w being the leaf width (m) and C the leaf cross section area (m2). When grasshoppers cut and chew leaves, they can cause crack opening (the toughness of which is measured by tearing tests), in-plane shear (punching tests) and out-of-plane shear (shearing tests, Clissold 2007), but it is currently unknown which types of fracture are involved during the cutting and chewing processes. Also, it is unclear whether we should consider the material toughness (specific work to shear and punch, calculated based on the standardisation per unit of leaf thickness) or the structural toughness (no standardisation). During the analysis, we will therefore use the four toughness measures: WP, SWP, WS, and SWS. PLANT BIOCHEMICAL TRAITS In order to compare biomechanical traits with biochemical traits assumed to contribute to plant selection by grasshoppers, we measured leaf dry matter content (LDMC), leaf nitrogen content (LNC), specific leaf area (SLA) and the carbon/nitrogen ratio, using standardised protocols (Cornelissen et al. 2003). DATA ANALYSIS The data for females and males of each species were analysed separately because sexual dimorphism might lead to differences in biomechanical traits and also because females might have consumed different plants depending on their reproductive status. Prior to the entire analysis, all traits were log(x + 1) transformed. We used the free R statistical software (R Development Core Team 2011) throughout the analysis, which was divided into the three following steps: (i) an analysis of the correlation between plant (resp. grasshopper) traits and the mean traits of their consumers (resp. the plants they eat), as well as two statistical models that link plant consumption to biomechanical traits: (ii) a linear model including co-phylogenetic effects, to account for the non-independence of the species and (iii) a Bayesian model including zero-inflation to test whether biomechanical traits influence consumption probability and/or consumption intensity. In the statistical models, we used the ratio of the grasshopper incisive FI (or molar FM) strength divided by one of the four plant toughness measures (work to shear WS, specific work to shear SWS, work to punch WP and specific work to punch SWP). To confer the same weight to plant and grasshopper trait variations in the grasshopper strength to plant toughness ratios, the variables were scaled to a variance equal to 1 prior to the analysis. CORRELATIONS BETWEEN INTERACTION NICHES AND TRAIT VALUES For each plant species, we calculated the mean incisive and molar strength of its consumers, weighed by the mass eaten by each of them. This quantity is interpreted as an ‘interaction niche’ value and corresponds to the Community Weighed Mean value (CWM, Lavorel et al. 2008) of the incisive or molar strength used to eat a unit of leaf mass of that species. The CWMs were calculated following (Lavorel et al. 2008): CWM ¼ n X pi traiti i¼1 where n is the total number of grasshopper species eating the particular plant (consumers), pi the relative abundance of consumer i and traiti the trait value of consumer i. Similarly, we calculated the weighed mean toughness of the plants eaten by each sex of the grasshopper species. We then used linear models to compare (i) the shear and punch toughness of the plants to the mean incisive and molar strengths of their consumers, and (ii) the incisive and molar strengths of the grasshoppers to the mean shear and punch toughness of the plants they ate. CO-PHYLOGENETIC LINEAR MODEL As closely related grasshopper species tend to have similar diets (Joern 1979), plant and grasshopper species are not independent statistical units because of their phylogenetic relationships, which must be taken into account in all comparative analyses (Felsenstein 1985). Moreover, the functional feeding types of the mandibles have a very strong phylogenetic signal. Gomphocerinae all have grass-feeding mandibles, Catantopinae and Calliptaminae all have forb-feeding mandibles in, while Ensifera all have omnivorous mandibles. Therefore, the discrete functional feeding types of the mandibles were considered through the phylogenetic relationships. The methods we used to obtain grasshopper and plant phylogenies are described in Appendix S1 and S2. We evaluated the strength of the phylogenetic signal of the two phylogenies in the interaction network with the method developed by Ives & Godfray (2006) and implemented in the ‘pblm’ function of the ‘picante’ R package (Kembel et al. 2010). This method uses a linear model approach to fit the phylogenetic variance – covariance matrix and covariables to the interaction network. The code of the pblm function allows covariables (e.g. traits) that are specific to each species of each guild (e.g. toughness of the plants; strength of the grasshoppers’ mandibles), but we needed to use covariables specific to each plant–grasshopper pair. For this purpose, we modified the code of the pblm function accordingly (R code available upon request). Our dataset is zero-inflated because most of the possible interactions between plants and grasshoppers were not observed. We therefore restricted the analysis to the nonzero components of the dataset, which has a normal distribution after logtransformation, and adapted the pblm code in this way. MCMC GENERALISED LINEAR MIXED MODELS To take zero-inflation into account, which is typical of interaction web data, and to analyse the whole data set simultaneously, we used the Monte Carlo Markov Chain generalised linear mixed model function of the package MCMCGLMM (Hadfield 2010) with uninformative priors. Our data were zero-inflated log-normal, but the MCMCGLMM function only supports zero-inflated Poisson data, so we truncated our data to the nearest integer to fit this restriction. Zero-inflated models include a 0/1 component (in © 2013 The Authors. Functional Ecology © 2013 British Ecological Society, Functional Ecology Biomechanical traits mediate herbivory 5 our case, this reflects the presence/absence of a given plant–grasshopper interaction) and a nonzero component (given that the interaction is present, it reflects how much of the plant has been eaten). We used the shear and punch ratios as fixed effects, while plant and grasshopper species, as well as sex and year of the choice experiment (2010 or 2011), were all included as random factors. The model tests their influence on the 0/1 component, that is, whether grasshoppers were physically able to cut and chew plants or not, and on the nonzero component that reflects whether grasshoppers ate plants that require less time and energy to be cut and chewed. Because the effect of only one phylogeny can be introduced into the model at once, we restricted the analysis to the grasshoppers’ phylogenetic effects because the plants’ phylogeny showed only a small signal in the co-phylogenetic model (see Results). Results The number of plant species consumed per grasshopper species by sex, varied from 3 to 14 from the 24 available, with a median of 75. All plants were consumed by at least 4 of the 26 grasshopper species (both sexes being considered separately), with a maximum of 32 and a median of 17 grasshopper-and-sex. A visual representation of the interaction network between grasshoppers and plants is provided Fig. 3 (for the raw values see Table S4). BIOMECHANICAL TRAITS VALUES The four plant biomechanical traits (WS, SWS, WP and SWP) were highly correlated with each other (Table 1A, Spearman’s q, 066 < q < 085), as found previously (Read & Sanson 2003). The four biomechanical traits were also positively correlated with LDMC, LNC and the C/N ratio (040 < q < 074), and negatively correlated with leaf thickness (067 < q < 009). The measured plant trait values are available in Table S5. Concerning grasshopper traits (Table 1B), there was a negative correlation between incisive and molar strength. There was no correlation between size and incisive strength, but a positive correlation between size and molar strength, and between size and adductor muscle strength proxies. Also, we found a negative correlation between absolute incisive and molar strength on one hand, and adductor muscle strength proxies on the other hand. The effective force applied by the mandibles depends on the angle ‘a’ between the adductor muscle and the adductor lever (Paul & Gronenberg 1999; Clissold 2007), but we considered a to be constant and equal to 90°. This assumption is potentially critical because small grasshoppers must open their mandibles wider than large grasshoppers when they cut thick leaves, so that a varies between species. When the strength of grasshoppers was estimated taking into account plant thickness, which modifies the angle between the adductor strength and the adductor lever (see Appendix S3), it was highly correlated (q > 09) with the measure of grasshopper strength without the effect of plant thickness, except for unrealistic plant thickness values (>3 mm), so that the grasshoppers’ strength did not strongly depend on the leaves’ thickness (see Appendix S3). Moreover, we found no link between the leaves’ thickness and any size-related trait of the grasshoppers (details not shown). This contrasts with Vincent’s (2006) intraspecific level study, where a positive correlation was found between the head width of Romalea microptera and the thickness of the plants they ate. CORRELATIONS BETWEEN INTERACTION NICHE AND TRAIT VALUES The mean incisive strength of consumers (estimated either with the mandible area proxy or with the jaw area proxy) of a given plant species was positively correlated with the four biomechanical measures of that species (P < 001 in all cases, 0387 < R2 < 0767, Table 2A and Fig. 4a). In contrast, the mean molar strength of consumers of a plant species was significantly negatively correlated (0266 < R2 < 0375, Table 2A) with the four toughness measures of that species but only when the jaw area proxy was used. In a similar way, the mean toughness of the plant species eaten (estimated with the four measures) by a particular grasshopper was positively correlated with its incisive strength, regardless of the proxy used (P < 0001 in all cases, 0235 < R2 < 0355, Table 2B and Fig. 4b). In contrast, the mean toughness of the plant species eaten by a particular grasshopper was negatively correlated with its molar strength (0101 < R2 < 0252, Table 2A). The specific work to shear led to the less significant results, while the work to punch gave the strongest correlations with the grasshopper traits (Table 2). This suggests that in-plane shearing was more significant than out-of-plane shearing and that the structural toughness was the critical trait. The correlation between the biomechanical traits of plants and grasshoppers can be observed even when single taxonomic groups are considered. For example, the toughness of dicots ranged from low to medium (green and blue points in Fig. 4a), and it was correlated with the mean incisive strength of their consumers (Fig. 4a). Similarly, the incisive strength of the grass-feeding subfamily Gomphocerinae ranged from medium to high (green symbols in Fig. 4b), and it was correlated with the mean toughness of the plants eaten. Several specific examples also illustrate this pattern. The men of Chorthippus biguttulus and Myrmeleottetix maculatus (squares no. 7 and no. 17 in Fig. 4b) had a lower incisive strength than the other Gomphocerinae, and they chose the softest graminoids (Trisetum flavescens and Festuca rubra) as well as the forb Centaureau uniflora (Fig. 3), which resulted in a softer diet (Fig. 4b). From the plants’ side, the toughest legume Trifolium alpinum (point no. 21 in Fig. 4a) was eaten by many grass-feeding Gomphocerinae and by none of the forb-feeding Catantopinae (Fig. 3), whereas the second softest grass Trisetum flavescens (point no. 23 in Fig. 4a) was chosen by many Tettigoniinae as well as by relatively weak Gomphocerinae, as mentioned above. © 2013 The Authors. Functional Ecology © 2013 British Ecological Society, Functional Ecology 6 S. Ibanez et al. Herbs Legumes Heracleum sphondylium Laserpitium latifolium Hypochaeris maculata Lathyrus pratensis Rhinanthus alectorolephus Geum montanum Centaurea uniflora Plantago media Helianthemum grandiflorum Lotus corniculata Vaccinium myrtillus Trifolium alpinum Onobrychis montana Trifolium montanum Bromus erectus Anthoxanthum odoratum Carex sempervirens Festuca laevigata Dactylis glomerata Trisetum flavescens Tettigoniinae Festuca paniculata Catantopinae Poa pratensis Calliptaminae Festuca rubra Oedipodinae Sesleria caerulea Gomphocerinae Arcyptera fusca_F Arcyptera fusca_M Euthystira brachyptera_F Euthystira brachyptera_M Chorthippus apricarius_F Chorthippus apricarius_M Chorthippus biguttulus_F Chorthippus biguttulus_M Chorthippus parallelus_F Chorthippus parallelus_M Chorthippus scalaris_F Chorthippus scalaris_M Euchorthippus declivus_F Euchorthippus declivus_M Gomphocerus sibiricus_F Gomphocerus sibiricus_M Myrmeleotettix maculatus_F Myrmeleotettix maculatus_M Omocestus haemorrhoidalis_F Omocestus haemorrhoidalis_M Omocestus viridulus_F Omocestus viridulus_M Stenobothrus lineatus_F Stenobothrus lineatus_M Stenobothrus nigromaculatus_F Stenobothrus nigromaculatus_M Stethophyma grossum_F Stethophyma grossum_M Calliptamus italicus_F Calliptamus italicus_M Calliptamus siciliae_F Calliptamus siciliae_M Bohemanella frigida_F Bohemanella frigida_M Miramella alpina_F Miramella alpina_M Podisma pedestris_F Podisma pedestris_M Decticus verrucivorus_F Decticus verrucivorus_M Metrioptera bicolor_F Metrioptera bicolor_M Metrioptera brachyptera_F Metrioptera brachyptera_M Anonconotus alpinus_F Anonconotus alpinus_M Platycleis albopunctata_F Platycleis albopunctata_M Tettigonia cantans_F Tettigonia cantans_M Tettigonia viridissima_F Tettigonia viridissima_M Other forbs Fig. 3. Visualisation of the interaction network between plants and grasshoppers. The size of each black square is proportional to the relative mass of each plant species eaten by the grasshopper species. The absence of squares means that no consumption event was recorded. After the grasshoppers species names, F means females and M means males. The vertical (resp. horizontal) bars separate distinct taxonomic groups of plants (resp. grasshoppers). CO-PHYLOGENETIC LINEAR MODEL The phylogenetic signal of the plants was equal to dp = 011, and the phylogenetic signal of the grasshopper was di = 081 (d = 0 corresponds to the absence of phylogenetic signal, d = 1 to a Brownian motion model, and 0 < d < 1 to stabilizing selection, Ives & Godfray 2006). The grasshopper incisive strength to plant toughness ratios had a positive significant effect on the plant mass eaten by grasshoppers, while the grasshopper molar strength to plant toughness ratios had no effect (Table 3A). hopper will consume a given plant, independently of the consumption intensity. In contrast, six ratios of eight (those calculated with either SWS, WP or SWP) had a significant positive effect on the leaf mass consumed (Table 3B). Hence, grasshoppers may evaluate the plant biomechanical properties with their first bites and then decide how much they will eat. Concerning the grasshopper molar strength to plant toughness ratios, none of the tested ratios had an effect on consumption probability, while two ratios of eight had a significant positive effect on the leaf mass consumed and one a significant negative effect (Table 3B), the others being non-significant. MCMC GENERALISED LINEAR MIXED MODELS Concerning the grasshopper incisive strength to plant toughness ratios, only two ratios of the eight tested (those calculated with WS) had an effect on consumption probability (Table 3B), that is, on the probability that a grass- Discussion The three analytical approaches we used (simple regression, co-phylogenetic linear model, MCMC generalised linear mixed model) converge towards a strong positive © 2013 The Authors. Functional Ecology © 2013 British Ecological Society, Functional Ecology Biomechanical traits mediate herbivory 7 Table 1. Correlations (Spearman’s q) among (A) plant traits and (B) grasshopper traits. All traits were log(x + 1) transformed (A) Plant traits I. Work to shear II. Specific work to shear III. Work to punch IV. Specific work to punch V. Leaf thickness VI. Leaf dry matter content (LDMC) VII. Carbon: Nitrogen ratio (C:N) VIII. Leaf Nitrogen Content (LNC) IX. Specific Leaf Area (SLA) (B) Grasshopper traits I. Incisive strength (mandibular section proxy) II. Incisive strength (jaw area proxy) III. Molar strength (mandibular section proxy) IV. Molar strength (jaw area proxy) V. Mandible bottom area VI. Jaw area (head length x head height) VII. Size (head + pronotum + femur) VIII. Incisive lever/incisive length IX. Molar lever/molar area I II III IV V VI VII VIII IX 1 082 081 066 009 062 051 049 044 082 1 085 083 041 074 05 049 01 081 085 1 091 031 065 058 058 015 066 083 091 1 067 067 042 04 008 009 041 031 067 1 044 003 006 04 062 074 065 067 044 1 055 051 005 051 05 058 042 003 055 1 099 02 049 049 058 04 006 051 099 1 022 044 01 015 008 04 005 02 022 1 1 086 046 063 045 02 001 039 071 086 1 058 056 024 02 013 05 066 046 058 1 092 026 032 051 066 067 063 056 092 1 008 03 04 063 074 045 024 026 008 1 089 087 061 051 02 02 032 03 089 1 09 073 039 001 013 051 04 087 09 1 086 023 039 05 066 063 061 073 086 1 01 071 066 067 074 051 039 023 01 1 Table 2. Simple regressions between (A) the plant trait values and the mean trait values of their consumers and (B) the grasshoppers trait values and the mean trait values of the plants they eat Plant traits (A) Mean trait values of the consumers Work to shear Specific work to shear Work to punch Specific work to punch Incisive strength (mandibular section proxy) Incisive strength (jaw area proxy) Molar strength (mandibular section proxy) Molar strength (jaw area proxy) (+) 0515*** (+) 0387** () 0104 ns () 0266 ** (+) 0658*** (+) 045*** () 014 ns () 038** (+) 0767*** (+) 0549*** () 0106 ns () 0313** (+) 0696*** (+) 0514*** () 0155 ns () 0375** Mean trait values of the plants eaten (B) Grasshopper traits Work to shear Specific work to shear Work to punch Specific work to punch Incisive strength (mandibular section proxy) Incisive strength (jaw area proxy) Molar strength (mandibular section proxy) Molar strength (jaw area proxy) (+) 033*** (+) 0284*** () 0159** () 0252*** (+) 0283*** (+) 0235*** () 0135** () 0225*** (+) 0355*** (+) 0269*** () 0101* () 0198*** (+) 0321 *** (+) 0274*** () 0137** () 0227*** LDMC, Leaf Dry Matter Content; LNC, Leaf Nitrogen Content; C:N, Carbon:Nitrogen ratio. The sign in parenthesis indicates whether the relationship is positive or negative, the algebric value corresponds to the R2 of the regression, and the stars indicate the P-value of the corresponding test as follows : ***means P < 0001, **means P < 001, *means P < 005 and ns means non-significant. The bold values correspond to the regressions presented in Fig. 3. relationship between the incisive strength of the grasshoppers and the toughness of the plants they eat (Fig. 4). Concerning the relationship between their molar strength and plant toughness, the simple regressions, when significant, highlighted a negative relationship (Table 2) that reflects the negative correlation between incisive and molar strength (Table 1B). Future studies might explore whether there is a trade-off between incisive and molar strength in the mandibles of grasshoppers or whether the biomechanical model we used to estimate the molar strength led to a poor estimate because the molar ridges and cusps were not taken into account. The co-phylogenetic linear model found no significant relationship between molar strength and plant toughness (Table 3A), while the MCMC generalised linear mixed model found a positive relationship in only two cases of eight, the other cases being non-significant (Table 3B). Taken all together, these results suggest that only the incisive strength of the grasshoppers was linked to the toughness of the plant they ate, but not their molar strength. By quantifying the biomechanical traits of both grasshoppers and plants, we were able to analyse linkages between traits that are mechanistically related between consumers and plants: strength vs toughness, respectively. Previous studies focused on categorical plant and © 2013 The Authors. Functional Ecology © 2013 British Ecological Society, Functional Ecology Mean incisive strength index of the consumers (a) Plants niche 0·80 7 Non−leguminous dicots Legumes Graminoids 5 20 0·75 2 3 21 18 0·70 1 Anthoxanthum_odoratum 2 Bromus_erectus 3 Carex_sempervirens 6 5 Dactylis_glomerata 0·65 23 24 6 Festuca_laevigata 1 7 Festuca_paniculata 8 8 Festuca_rubra 22 9 Geum_montanum 0·60 10 Helianthemum_grandiflorum 11 Heracleum_sphondylium 12 Hypochaeris_maculata 19 0·55 4 Centaurea_uniflora 13 Laserpitium_latifolium 417 15 14 Lathyrus_pratensis 15 Lotus_corniculata 16 11 16 Onobrychis_montana 17 Plantago_media 18 Poa_pratensis 0·50 12 10 19 Rhinanthus_alectorolephus 20 Sesleria_caerulea 9 13 0·45 21 Trifolium_alpinum 22 Trifolium_montanum 14 23 Trisetum_flavescens 24 Vaccinium_myrtillus 5·5 6·0 6·5 7·0 Mean work to punch the plants consumed log(J m–2) 8 S. Ibanez et al. (b) Grasshoppers niche 7·5 7·0 23 Calliptaminae Catantopinae 14 Gomphocerinae Oedipodinae Tettigoniinae Females14 23 Males 8 2 9 11 19 6 618 18 12 20 17 21 6·0 4 1 19 7 20 24 21 3 3 16 4 10 15 26 2526 25 1 9 15 5·5 13 17 2 8 13 12 22 24 6·5 22 11 7 10 16 5 1 Anonconotus_alpinus 2 Arcyptera_fusca 3 Bohemanella_frigida 4 Calliptamus_italicus 5 Calliptamus_siciliae 6 Chorthippus_apricarius 7 Chorthippus_biguttulus 8 Chorthippus_parallelus 9 Chorthippus_scalaris 10 Decticus_verrucivorus 11 Euchorthippus_declivus 12 Euthystira_brachyptera 13 Gomphocerus_sibiricus 14 Metrioptera_bicolor 15 Metrioptera_brachyptera 16 Miramella_alpina 17 Myrmeleotettix_maculatus 18 Omocestus_haemorrhoidalis 19 Omocestus_viridulus 20 Platycleis_albopunctata 21 Podisma_pedestris 22 Stenobothrus_lineatus 23 Stenobothrus_nigromaculatus 24 Stethophyma_grossum 25 Tettigonia_cantans 26 Tettigonia_viridissima 5 7·5 0·4 Plant work to punch log(J m–2) 0·6 0·8 1·0 1·2 1·4 Grasshopper incisive strength index (c) Pairwise interaction intensities Plant work to punch log(J m–2) 7·5 7·0 6·5 6·0 5·5 0·4 0·6 0·8 1·0 1·2 1·4 Grasshopper incisive strength index Fig. 4. Correlations between (a) the plants’ work to punch and the mean incisive strength index of the plants’ consumers and (b) the incisive strength index of the grasshoppers and the mean work to punch the plants they eat. (c) represents all pairwise herbivory events in function of the grasshoppers’ incisive strength index and of the plants’ work to punch. The size of the circles is proportional to the relative mass of plant eaten by each grasshopper species. grasshopper groups rather than on such quantitative traits, showing that the mandibles of grasshoppers are specialised to feed either on grasses or on forbs (Isely 1944; Patterson 1984; Bernays 1991). Our quantitative approach allowed us to investigate the variability of the biomechanical traits within each mandible type and each plant type. For example, we showed that grass-feeding species having a relatively strong incisive strength tended to eat relatively tough plants and that dicotyledonous species having a high toughness tended to be eaten by stronger grasshoppers (Fig. 4). While previous studies did not include phylogenetic effects into their analyses (Patterson 1983, 1984), we showed that the link between grasshoppers’ incisive strength and plants’ toughness remained even after incorporating these. From a methodological point of view, the quantification of both strength and toughness enabled the computation of the strength/toughness ratio which appears to be very useful in complex statistical models. Ratios © 2013 The Authors. Functional Ecology © 2013 British Ecological Society, Functional Ecology Biomechanical traits mediate herbivory 9 Table 3. Linear models based on (A) Monte Carlo Markov Chain and (B) Generalised Least Squares. The models combine the following statistical properties : phylogenetic effects of either both phylogenies simultaneously (B) or the grasshopper’s phylogeny alone (A), random effects accounting for plant and grasshopper species identity and sampling year (A), independent parametrisation accounting for the eating probability and the amount eaten (zero-inflated poisson model, A), and effect of the leaf nitrogen content (A and B, the results are not shown because this covariate never had a significant effect) (A) Co-phylogenetic linear model Work to shear Specific work to shear Work to punch Specific work to punch Incisive strength (mandibular section proxy) Incisive strength (jaw area proxy) Molar strength (mandibular section proxy) Molar strength (jaw area proxy) (+)* (+)* (+)ns (+)ns (+)* (+)* (+)ns ()ns (+)* (+)* (+)ns ()ns (+)* (+)* (+)ns ()ns Work to shear Specific work to shear Work to punch Specific work to punch (B) MCMC Generalized linear mixed model Eating probability Amount eaten Eating probability Amount eaten Eating probability Amount eaten Eating probability Amount eaten Incisive strength (mandibular section proxy) Incisive strength (jaw area proxy) Molar strength (mandibular section proxy) Molar strength (jaw area proxy) (+)** (+)ns (+)ns (+)** (+)ns (+)** (+)ns (+)** (+)* ()ns (+)ns (+)** (+)ns ()ns (+)** (+)ns (+)ns ()ns (+)** (+)ns ()ns ()ns (+)** (+)ns ()ns (+)* (+)ns ()** ()ns ()** ()ns ()** The sign in parenthesis indicates whether the relationship is positive or negative, and the stars indicate the P-value of the corresponding test as follows: **means P < 0.01, *means P < 0.05 and ns means non-significant. between the functional traits of interacting species have also been useful to predict interactions in food webs (Petchey et al. 2008). DO BIOMECHANICAL TRAITS WORK AS BARRIER OR COMPLEMENTARITY TRAITS? The toughness of plants is a physical barrier that is expected to work following a threshold rule, according to which grasshoppers eat plants that they are able to cut (Seath 1977; Lucas 2004). If the threshold rule severely constrained our choice experiment, we would observe a triangular distribution in Fig. 4c (see Stang, Klinkhamer & Van der Meijden 2007 for a triangular distribution of the interactions between plants and pollinators in the presence of barrier traits). However, even the grasshoppers with the lowest incisive strength consumed some tough plants (Fig. 4c), although in smaller amounts, indicating that they were physically able to cut such plants. Similarly, even the toughest plant Festuca paniculata was eaten by relatively weak grasshoppers. Another line of evidence comes from the results of the zero-inflated model, in which the grasshopper strength to plant toughness ratios had no influence on the consumption probability (the presence vs absence of circles in Fig. 4c) but significantly affected the consumption intensity (the magnitude of the circles in Fig. 4c). Therefore, our data show that the threshold rule, according to which grasshoppers eat plants that they are able to cut, did not severely constrain plant choice during the experiment. The match between the toughness of the grasshoppers’ diet and their incisive strength indicates that the bio- mechanical traits worked as complementarity traits rather than barrier traits. This is intriguing because most often complementarity traits are either nutritional or signal traits (Santamarıa & Rodrıguez-Girones 2007), and species may benefit from interacting with species whose traits match their optimal requirements (e.g. Behmer 2008 in the case of nutritional requirements). In the case of biomechanical traits, strong grasshoppers did not benefit more from eating tougher plants than weak grasshoppers. In fact, grasshoppers reared on tough food have limited growth (Miura & Ohsaki 2004; Clissold et al. 2009), and toughness is generally associated with lower nutritional quality (Santos et al. 2012). As a consequence, the match between the toughness of the grasshoppers’ diet and their incisive strength cannot be explained by biomechanical traits alone. THE INTERPLAY BETWEEN BIOCHEMICAL AND BIOMECHANICAL TRAITS The interplay between biochemical and biomechanical traits could explain the match we found between the toughness of the grasshoppers’ diet and their incisive strength. Because plant toughness limits food ingestion, nutrient absorption and ultimately growth (Miura & Ohsaki 2004; Clissold et al. 2009), one could expect grasshoppers to avoid tough plant species, which would lead to a pattern very different from our observations. However, plant macronutrient and secondary compound contents also impose their own selection pressures (Behmer, Simpson & Raubenheimer 2002; Behmer 2008), and the interplay between biochemical and biomechanical traits may allow many © 2013 The Authors. Functional Ecology © 2013 British Ecological Society, Functional Ecology 10 S. Ibanez et al. herbivory niches that correspond to each grasshopper species. Because of the selection pressures exerted by biochemical traits, some grasshopper species have to deal with tougher food than other species. It is therefore likely that the mandibles and head muscles of grasshoppers have evolved following the biomechanical constraints of their diet. Although correlation studies cannot provide positive proofs, we believe the observed pattern corresponds to evolved host preferences. For example, we observed no correlation between the incisive strength of the grasshoppers and their size (Table 1) and a strong negative correlation between the adductor muscle proxies and the ratio between the incisive lever and the incisive region length (i. e. LA/LI 1/RI, Table 1). Given that size was correlated with the adductor muscle proxies, these findings indicate that small species have evolved efficient mandible shapes to compensate for their relatively small adductor muscle strength. The present work focused on adults, but it would be interesting to test if this pattern holds for nymphs. Moreover, the positive link between the mass eaten and the incisive strength to plant toughness ratio (Table 3B) suggests that it is less costly for a relatively strong grasshopper to eat tough food than for a weaker grasshopper. Reciprocally, from the plants’ side, toughness is also considered to be subject to selection pressures from herbivores (Coley & Barone 1996), but many other ecological factors influence the evolution of tough leaves (Turner 1994). Conclusion Scaling relationships between functional traits of species that form interaction networks is a widespread pattern generally involving the species’ size (Honek et al. 2007; Petchey et al. 2008; Ibanez 2012). We applied scaling theory to a new dimension involving force rather than size and found scaling between the toughness of plant leaves and the strength of grasshoppers’ mandibles, respectively. Only a few studies have investigated how biomechanical traits influence interactions between plants and herbivores (Pennings et al. 1998; Peeters, Sanson & Read 2007; Clissold et al. 2009; Nogueira, Peracchi & Monteiro 2009). Biomechanical traits are often ignored and under-explored because they require specific skills, time and equipment to be measured. To our knowledge, this is the first study that takes plant and herbivore quantitative biomechanical traits into consideration simultaneously, from an experimental set of species co-occurring in natural communities. The close match we found between the incisive strength of 26 grasshopper species and the toughness of their diet, chosen among 24 plant species, suggests that the influence of biomechanical traits is potentially widespread in plant– grasshopper interactions. Acknowledgements We are grateful to Marjorie Bison, Quentin Duparc and Carole Bengasini for their help during the choice experiments and measurements of plant mechanical properties, to Matthew Helmus for his suggestions to modify the pblm function, to Felix Vallier for his help in constructing the equipment for the biomechanical measurements, to Sebastien Lavergne for his advice to build the plant phylogeny, to Franck Quaine for his advice on the mandibular biomechanics and to Curtis Gautschi for his help with language. 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