Ecological Applications, 22(4), 2012, pp. 1213–1223 Ó 2012 by the Ecological Society of America Interaction networks in coastal soft-sediments highlight the potential for change in ecological resilience S. F. THRUSH,1 J. E. HEWITT, AND A. M. LOHRER National Institute of Water and Atmospheric Research, P.O. Box 11-115, Hamilton 3251 New Zealand Abstract. Recent studies emphasize the role of indirect relationships and feedback loops in maintaining ecosystem resilience. Environmental changes that impact on the organisms involved in these processes have the potential to initiate threshold responses and fundamentally shift the interactions within an ecosystem. However, empirical studies are hindered by the difficulty of designing appropriate manipulative experiments to capture this complexity. Here we employ structural equation modeling to define and test the architecture of ecosystem interaction networks. Using survey data from 19 estuaries we investigate the interactions between biological (abundance of large bioturbating macrofauna, microphytobenthos, and detrital matter) and physical (sediment grain size) processes. We assess the potential for abrupt changes in the architecture of the network and the strength of interactions to occur across environmental gradients. Our analysis identified a potential threshold in the relationship between sediment mud content and benthic chlorophyll a, at ;12 lg/g, using quantile regression. Below this threshold, the interaction network involved different variables and fewer feedbacks than above. This approach has potential to improve our empirical understanding of thresholds in ecological systems and our ability to design manipulative experiments that test how and when a threshold will be passed. It can also be used to indicate to resource managers that a particular system has the potential to exhibit threshold responses to environmental change, emphasizing precautionary management and facilitating a better understanding of how persistent multiple stressors threaten the resilience and long-term use of natural ecosystems. Key words: facilitation; feedbacks; macrofauna; microphytobenthos; mud; multiple stressors; New Zealand. INTRODUCTION Ecological processes that involve feedbacks or indirect relationships between biota and their environment have important consequences for ecosystem function and dynamics (Scheffer et al. 2001, Rietkerk and van de Koppel 2008, Thrush et al. 2009). This can involve the formation of distinct spatial patterning within the landscape or temporal trajectories that produce abrupt change into functionally different states. These selforganized patterns often result from interactions that operate at the ecosystem level, involving biological, physical, and chemical processes. Except under extreme environmental forcing, such self-organized interaction networks can play important roles in maintaining resilience. The problem is that we do not know if the architecture of the web of interactions that defines a specific system will exhibit intrinsic dynamics or simply track environmental forcing. Given the potential for changes in the strength or direction of at least some types of feedbacks to generate threshold responses, it is Manuscript received 8 August 2011; revised 5 December 2011; accepted 16 January 2012. Corresponding Editor: S. B. Baines. 1 E-mail: [email protected] imperative that we develop empirical techniques to assess the potential for these types of interactions to exist in different ecosystems and to evaluate the potential for changes in the architecture of interaction webs across environmental gradients. There is a long history of documented change in the ecological state of marine ecosystems because of major disturbance events (Dayton et al. 1984, Dayton and Tegner 1984). However, chronic and cumulative impacts on the organisms involved in feedback processes may be especially important because of the potential to initiate threshold responses and fundamentally shift ecosystem function without extreme environmental forcing. Multiple stressors may have differential effects on these interaction networks, reducing our ability to quantify the risk of change to ecosystem function or resilience. These are major challenges to our understanding of ecosystem dynamics. From an applied research and management perspective, threshold responses are even more worrying because they imply the potential for cumulative effects where the same amount of stress or disturbance can result in very different ecosystem responses depending on whether a threshold is tripped or not. Moreover, many environmental management, restoration, and conservation policies and strategies focus on maintaining or enhancing resilience (McLeod 1213 1214 S. F. THRUSH ET AL. and Leslie 2009, Stagg and Mendelssohn 2011). Thus, we need to develop empirical methods to assess the potential for such interaction networks to exist in different ecosystems and, if they do, to identify how the networks are modified by environmental change. However, defining feedback responses in nature usually requires intensive knowledge of process interactions across scales of space and time. Similarly, determining chronic multiple stressor impacts is usually beyond the scope of simple impact assessments or experimental manipulations. As the scope of empirical research is expanded, positive (facilitatory) processes are increasingly recognized as important in ecology (Bruno et al. 2003, Norkko et al. 2006, Stachowicz et al. 2008, Bulleri 2009). Positive feedback mechanisms can provide resilience by buffering the capacity of a system to respond to change, and this can make it hard to detect system responses until the feedbacks are broken. As stated by Carpenter et al. (2001) the only sure way to know you have a threshold is to cross it. Theoretically, increased variance prior to a transition is predicted, and there are signs of these phenomena in long-term monitoring data (Hewitt and Thrush 2010). Unfortunately, such data are often not available. Other approaches search for changes in the spatial distribution of patches (Rietkerk and van de Koppel 2008) or a slowing down in recovery rates of a system as it nears a critical threshold (van Nes and Scheffer 2007). The description of pattern in nature is highly scale dependent, and recovery rates are often context dependent with degraded, low-diversity systems dominated by opportunistic species likely to exhibit fast recovery. Thus, there is not yet a clear path forward, particularly for empirical research, to inform policy and management. One method of assessing the potential for regime shifts to occur may be to identify possible feedback processes from field data and then identify if the strength of these interactions varies across environmental gradients. Recently van der Heide et al. (2011) used structural equation modeling (SEM) to show the potential for positive feedback processes to exist in the relationships linking seagrass density, light attenuation, and sediment grain size across a number of northern European estuaries. SEM is ideally suited to exploring whether theoretically driven conceptual models fit empirical data, defining the architecture and strength of interactions within complex interaction networks and testing the merits of competing models (Grace et al. 2010, Kline 2011). Here we use SEM to investigate the architecture of interaction networks derived from survey data collected from intertidal flats. We then consider whether the architecture and strength of interactions within networks changes at potential transition points along environmental gradients using factor–ceiling relationships. SEM represents a family of related statistical procedures, including path analysis. Without appropriate manipulative experiments, statistical techniques such Ecological Applications Vol. 22, No. 4 as SEM cannot provide strong evidence of causality, but are useful in defining the degree of empirical support for specified conceptual models. In this paper, we use the procedure to demonstrate the presence of, and changes in, interaction networks, both as an aid to future experimental design and as an indicator to managers of the presence of nonlinear dynamics and feedback loops. In coastal and estuarine soft-sediment habitats, benthic organisms play crucial roles in ecosystem functioning. Feedback processes often involve interactions between organisms, biogeochemical processes, or hydrodynamics (Lohrer et al. 2004, van de Koppel et al. 2005, Coco et al. 2006, Weerman et al. 2010b). Many studies have identified simple cause–effect relationships between macrofauna, sediment characteristics, and microphytobenthos (Miller et al. 1996). These individual cause–effect relationships can be linked into more complex interaction networks (Fig. 1): a positive relationship between microphytobenthos and sediment muddiness, illustrated by arrow ‘‘i’’ (van de Koppel et al. 2001); a positive relationship between large depositfeeding macrofauna and microphytobenthos, arrow ‘‘ii’’ (Thrush et al. 2006b, Van Colen et al. 2008); fine sediment binding by microphytobenthos mediated by resident macrofaunal, arrow ‘‘iii’’ (Widdows et al. 2004); a negative effect of fine sediment on abundance and diversity of large bioturbators, arrow ‘‘iv’’ (Thrush et al. 2003, 2004); and a positive effect of shell hash (a major contributor to coarse sediments) on macrofaunal size and diversity, arrow ‘‘v’’ (Thrush et al. 2006a). Sediment grain size influences microphytobenthic productivity, arrows ‘‘vi’’ (Cahoon et al. 1999); grain size also affects the quantity and processing of detritus, arrows ‘‘vii’’ (Lopez et al. 1989); and macrofauna both contribute to and exploit detritus, arrows ‘‘viii’’ (Rhoads and Boyer 1982). The importance of this type of interaction network on estuarine flats was illustrated by Weerman et al. (2010b), who demonstrated that microphytobenthos affected sediment erosion thresholds to generate hummock–hollow spatial patterns on Dutch mudflats, i.e., local self-organizing processes generated spatial patterns at the landscape level. These hummock–hollows break down seasonally as the density of benthic grazers increases and crop down the microphytobenthos (Weerman et al. 2010a). All of these studies provide compelling insight into the ecological functioning and geomorphology of intertidal flats, but it is difficult to know how generalizable particular mechanisms are across locations. We used these interactions to define the architecture of our starting point for SEM (Fig. 1). Specifically in our application all variables were empirically measured (i.e., were manifest variables), although it is also possible to use latent variables representing hypothetical constructs, such as integrity or health, in SEM (Kline 2011). Estuaries and coasts are important transitional environments connecting the land to the sea. They have June 2012 INTERACTION WEBS AND RESILIENCE 1215 FIG. 1. Interaction network based on previously identified relationships between macrofauna, sediment chlorophyll a, detrital organic matter content, and the proportion of coarse and muddy sediments in estuaries. Roman numerals relate to specific relationships derived from the literature and specified in the Introduction. high ecological, biodiversity–function values as well as high and diverse cultural and economic values (Levin et al. 2001). The multiple uses of these ecosystems have subjected them to multiple stressors, with major stressors derived from both land (e.g., sediment and nutrient loading) and sea (e.g., ecosystem effects of fishing and climate change). By definition, transitional ecosystems have strong environmental gradients, thus adding environmental variation as another factor modifying stress responses (Thrush et al. 2008b). However, this environmental variability also provides an opportunity to sample relationships across a range of conditions and identify where they change, indicating the generality of ecological relationships and their susceptibility to stress. Changes in the relationship between biological or environmental variables involved in interaction networks are often evidenced in bivariate scatter plots by the presence of nonlinearities or step functions. However, often multiple factors are important in affecting the magnitude of a response variable at any point along a putative gradient. For example, shifts in sediment grain size from mud to sand-sized particles frequently affect the distribution and abundance of soft-sediment species, although many other environmental and biotic factors are also important (Snelgrove and Butman 1994, Thrush et al. 2003). In these circumstances, it may be informative to consider the envelope encompassing the points in a scatter plot, using the concept of a factor ceiling (Blackburn et al. 1992, Thomson et al. 1996). For example, the upper bound of a scatterplot identifies where the independent variable limits the possible magnitude of the response variable, thus defining a ceiling (e.g., Fig. 2a cf. b). Changes in the slope or shape of these ceilings can thus reflect changes in the influence of a particular factor, assuming a reasonably balanced sampling. Quantile regression techniques are available to model these boundaries (Scharf et al. 1998, Cade et al. 1999, Cade et al. 2005) and are routinely used for species distribution modeling (Anderson 2008, Hothorn et al. 2011, Peters et al. 2011, Keeley et al. 2012). Unimodal relationships and step changes in the factor ceilings (e.g., Fig. 2c, d) are used to indicate optimal conditions (e.g., sensitivity to mud; Anderson 2008) and threshold responses (e.g., threshold below which iron concentrations are not important; Peters et al. 2011). They thus have the potential to indicate critical transitions where the architecture of networks and magnitude of interaction strength could fundamentally shift. In this paper, we assess the efficacy of the interaction network drawn from the literature (Fig. 1). Furthermore, by splitting the data at points indicated by abrupt changes in factor ceiling relationships, we determine whether such break points indicate important transitions in the architecture of interaction networks. The purpose of this two-phase approach is to indicate not only that feedback mechanisms can be at work, implying the potential for self-organization, but that these relationships may break down over gradients that reflect environmental change (e.g., changes in sediment characteristics or primary productivity). The information generated by such an approach can be used to indicate the risk of abrupt change in a system or to design manipulative experiments demonstrating causality and confirming break points. This approach is likely to be useful for resource managers faced with natural ecosystems where nonlinear dynamics may lead to surprises and thresholds. The implication is that simply managing up to guideline concentrations, or other limits, is risky (Thrush and Dayton 2010). 1216 S. F. THRUSH ET AL. Ecological Applications Vol. 22, No. 4 FIG. 2. Types of factor–ceiling relationships that can be derived using quantile regressions: (a) no relationship, (b) a simple linear decrease, (c) a threshold with no relationship below a certain value (e.g., Peters et al. 2011), and (d) a unimodal relationship indicating a threshold of change (e.g., Anderson 2008). The graph is theoretical to illustrate the value of factor ceiling relationships and quantile regression, but the scale numbers are of value as they indicate empirical measurement, rather than a purely theoretical concept. METHODS We used data on macrofaunal communities, sediment grain size, benthic chlorophyll a, and detrital organic matter concentrations from a survey of 19 estuaries; details of the sites and the sampling strategy are presented in Thrush et al. (2003). The estuaries (Ahuriri, Bowentown, Kawhia, Koutou, Manaia, Mangawhai, Manukau, Matakana, Mangonui, Ngunguru, Ohiwa, Otamatea, Porangahau, Te Puna, Waiheke, Waiotahi, Whangape, Waikopua, and Whitianga) were scattered around the North Island of New Zealand. All were coastal-ocean-dominated systems with low freshwater inputs relative to tidal exchange. In each estuary, we focused our sampling along a transect over the mud-tosand interface on one intertidal flat. Transects typically started in soft muddy sediment, often near the edge of mangrove habitats, and ended on firm sand. Start positions of each transect were haphazardly selected, but transects ran parallel to the shore to reduce confounding by changes in tidal elevation. Each transect was divided into 12 strata that encompassed the mud-tosand transition. All sites were sampled October–December 2000. In each stratum, we took one core (1.5 cm diameter 3 2 cm deep) for analyzing sediment particle size and organic matter and another for benthic chlorophyll a. To assess macrofauna, two cores (13 cm diameter and 15 cm deep) separated by ;1.0 m were collected. To determine particle size, sediments were digested in 6% hydrogen peroxide for 48 h to remove organic matter. Wet sieving was used to measure cumulative percentage masses of coarse shell and sand, medium sand, fine sand, and mud sediment fractions (i.e., particle sizes .0.5, 0.5–0.25, 0.25–0.063, ,0.063 mm, respectively). Organic content was measured as loss on ignition in 5.5 h at 4008C, after drying the samples at 608C for 48 h. Sediment samples for chlorophyll a analyses were kept chilled and in the dark while in the field and frozen as soon as possible and then freeze-dried on return to the laboratory. Chlorophyll a was extracted from sediments by boiling in 95% ethanol, and the extract analyzed using a spectrophotometer (UV1800; Shimadzu, Kyoto, Japan). An acidification step was used to separate degradation products from chlorophyll a (Sartory 1982). Summary statistics for these environmental parameters are presented in Thrush et al. (2003). Benthic chlorophyll a varied from 0.7 to 49.4 lg/g; mud from 1.5% to June 2012 INTERACTION WEBS AND RESILIENCE 1217 TABLE 1. Species defined as large bioturbating fauna (LBF) from 19 estuaries, North Island, New Zealand. LBF group Mollusks Polychaetes Crustaceans Other Species Austrovenus stutchburyi, Macomona liliana, Paphies australis, Diloma subrostrata, Musculista senhousia, Amalda sp., Amphibola crenata Pectinaria australis, Scolecolepides benhami, Nereididae, Scoloplos cylindifer, Glycera sp., Macroclymenella stewartensis, Anaitides sp., Asychis theodori, Orbinia papillosa, Scoloplos ohlini, Lepidodontidae, Travisia olens, Aglaophamus macroura Austrohelice crassa, Hemigrapsus crenulatus, Hemiplax hirtipes, Cirolandiae, Calianassa filholi, Alpheus sp. Sipunculida 88%; coarse shell and sand from 0% to 55%; and organic content from 0.4% to 8.1%. Organic matter was not well correlated with chlorophyll a content (Pearson’s r ¼ 0.62). Note that one organic matter sample from Matakana and two chlorophyll a samples from Mangonui were compromised during sample processing, and all data from these sampling positions were removed from the following analyses. Macrofauna retained on 1.0-mm mesh sieves were preserved in 70% isopropyl alcohol, stained with 0.2% Rose Bengal, sorted, and identified to the lowest taxonomic level practicable. An important mechanistic link between macrofauna and microphytobenthos production in non-eutrophic systems is associated with efflux of ammonia from the sediment (e.g., Lohrer et al. 2004, Thrush et al. 2006b). This is a result of the activities of the macrofauna within the sediment, excreting nitrogenous waste products and influencing water and particle flows affecting the activity of the resident microbial communities. Thus, many biological traits will influence this role for an individual species, although size and mobility within the sediment are particularly important. In a previous experiment we excluded large macrofauna from patches of sandflats, and this emphasized that we can aggregate the density of individual species into a functional category of large bioturbating (mixing of sediment by biological activity) fauna (LBF; Thrush et al. 2006b). We selected species to include in this group based on size and mobility traits (Table 1) and calculated overall abundance of large bioturbating fauna for use in the models as the sum over the two cores taken at each sampling position (varied from 1 to 104 individuals per position). To identify potential thresholds that could have implications for the breakdown of interactions between large bioturbating fauna, benthic chlorophyll a and organic matter, and sediment mud and coarse sand, we investigated ‘‘factor–ceiling’’ relationships in scatter plots (Thomson et al. 1996). Initially, bivariate scatter plots of all combinations of two variables (Fig. 3) were examined for indications that any of the variables were acting as a limiting factor for the other variables, and, more importantly, whether this relationship was monotonic or exhibited thresholds. Different types of relationships were observed (Fig. 3) from increasing variance (e.g., organic matter with mud [a]), a decreasing upper factor ceiling (e.g., LBF with mud [d]), and a random pattern (e.g., LBF with chlorophyll a [f ]). Only the mud and chlorophyll a scatter plot suggested the potential for a threshold in the factor–ceiling relationship (Fig. 3j, k). The most likely benthic chlorophyll a concentration to be the break point was identified using LAD regression (least absolute deviation) of the 90th percentile and a LOESS smoother (procedure Quantreg in R; R Development Core Team 2011). This value was used as a start point in an iterative procedure minimizing the mean square error (procedure NLIN in SAS; SAS Institute 2010) that identified a benthic chlorophyll a concentration of 11.6 lg/g as the break point. The break point for mud content, identified by a similar process, was 19.9%. Two data sets were then created around both potential break points. Above and below chlorophyll a concentration of 11.6 lg/g (n ¼ 107 and 118, respectively) and above and below mud content of 19.9% (n ¼ 92 and 133, respectively), resulting in four data sets. Note that in general, samples from each estuary were found in both subsets of the data with five exceptions for the chlorophyll subsets (Ahuriri, Whangape, and Waikopua, all samples ,11.6 lg/g and Bowentown and Te Puna, all samples .11.6 lg/g) and three for the mud subsets (Mangawhai, Mangonui, and Whitford, all samples ,19.9% mud). The four created data sets, together with the initial full data set, were used to test the model structure (Fig. 1). Structural equation modeling (SEM) was conducted (using the linesqs option within PROC CALIS; SAS Institute 2010), using measured variables (Grace et al. 2010, van der Heide et al. 2011). Simple types of SEMs include multiple regression and path analysis. Models that are more complicated allow the overall statistical assessment of a number of multiple regression models and path analyses with many feedback loops and twoway interactions. Initially we had analyzed the data by path analysis, but moved to SEM to gain the overall statistical assessment that simplified comparison of the different network architectures. The model tested was non-recursive (i.e., it included feedback loops and allowed two-way interactions). In summary, sedimentary characteristics (coarse shell and sand and mud content) were predicted to affect LBF. LBF was predicted to affect organic matter and chlorophyll a content, and be affected by them in turn. Similarly, chlorophyll a content and organic matter were predicted to affect mud content and be affected by it. As the 1218 S. F. THRUSH ET AL. Ecological Applications Vol. 22, No. 4 FIG. 3. Pairwise scatter plots of study variables showing different types of factor ceilings. Abbreviations: OM, detrital organic matter; mud, mud content; Cs, coarse sand content; Chl a, chlorophyll a content; LBF, abundance of large bioturbating macrofauna. For plots ( j) and (k) the thick vertical line indicates the change point in ‘‘factor ceiling response’’ (thin black lines) at 11.6 lg/g chlorophyll a or at mud content of 19.9%, respectively. June 2012 INTERACTION WEBS AND RESILIENCE 1219 TABLE 2. Structural equation modeling (SEM) chi-square test results for the best model obtained for each of the five data sets. Data set v2 P GFI RMSEA AIC Full data set Mud , 19.9% Mud . 19.9% Chl a , 11.6 lg/g Chl a . 11.6 lg/g 13.44 14.86 1.22 4.24 2.84 0.0012 0.0003 0.5432 0.1201 0.2413 0.99 0.98 0.99 0.00 0.09 0.03 2.78 0.23 1.16 Notes: Where the test that the model fits the data is not rejected (P , 0.05), other model fit statistics are given; df ¼ 2. Abbreviations: GFI, goodness of fit; RMSEA, root mean square error of approximation; AIC, Akaike’s Information Criterion; Chl a, chlorophyll a; Mud, mud content. degrees of freedom for the null hypothesis (the model fitted the data) were only 15 (based on N ¼ 5 variables, df ¼ N(N þ 1)/2), all relationships could not be fitted at once, and a number of iterations were conducted to determine the best, and most stable, model. The process of iteration began with variables and interactions from the conceptual model selected randomly; the model fit was recorded and a new model was developed replacing nonsignificant interactions with ones not present in the previous model. This process continued until all variables and interactions had been included and tested for significance. Lack of strong correlation between variables made this a simple process, with no changes in direction of relationships dependent on model structure. Model fit was determined based on v2 values (where P , 0.05 indicates poor model fit), RMSEA (root mean square error of approximation; values close to zero indicate a good model fit), GFI (goodness of fit; values close to 1 indicate a good model fit), and AIC (Akaike’s Information Criterion; lower values indicate a better model fit) (see Kline 2011). In some cases, similar to most multiple regression analyses, this meant that relationships whose estimates were not significant at the 0.05 level were retained as important in the model. The presence of outliers, nonnormality, and nonhomogeneity of variances was assessed graphically (Kline 2011). No outliers were detected, but transformations were required for mud .19.9% and chlorophyll a .11.6 lg/g. We used a loge-transformation for LBF and mud and a square root transformation for chlorophyll a, coarse sand, and organic matter. Comparisons between the models based on the five data sets were initially focused on whether better fits could be obtained from any of the four data subsets relative to the full data set. Following this, we compared the fit of the models derived from splitting the data set based on mud vs. chlorophyll a. Further analysis was then based on the splitting variable that produced the best-fit statistics for one model. Due to the marked difference in model fits and model architecture, further comparisons between the models were based on these factors. It was not considered necessary to present actual path coefficients. RESULTS No satisfactory models (i.e., P . 0.05) were developed for the full data set (Table 2), although individual correlations and multiple regressions were significantly different from zero (at the P ¼ 0.05 level). No satisfactory models were developed for the data subset where mud content was ,19.9% (Table 2). Satisfactory models were developed for the other data subsets, although the model developed from the chlorophyll a .11.6 lg/g data subset had the lowest AIC (Table 2). The rest of the results presented focus on differences between the models obtained from the two chlorophyll a driven data subsets. Analysis of the relationship when chlorophyll a concentrations were .11.6 lg/g showed a complicated network architecture with positive feedbacks between chlorophyll a, LBF, and mud (Fig. 4). However, at low benthic chlorophyll a concentrations (,11.6 lg/g), which also coincided with the highest range in sediment mud content, a simpler network was observed with no positive feedbacks and based mainly around sediment organic matter (Fig. 4). In order to ensure that these two different architectures were not simply a result of comparing best-fit models, we also tested both architectures in each data set. Using the complex network architecture when chlorophyll a concentrations were ,11.6 lg/g, resulted in a very poor model fit (P ¼ 0.003). Fitting the simpler network architecture when chlorophyll a concentrations were .11.6 lg/g was not possible, as convergence could not be obtained. In fact, for this data set, no model containing effects of other variables on organic matter could be resolved. Thus, based on model stability, model significance, and a number of goodness-of-fit statistics, we are reasonably sure that the shifts in relationships illustrated in Fig. 4 are real and highlight how feedbacks and network relationships may break down as we move across environmental gradients, or conversely, as environmental conditions at a site change. DISCUSSION The major focus of this study was to develop a method for identifying potential changes in the architecture of ecosystem interaction networks associated with shifts in environmental conditions. From our 1220 S. F. THRUSH ET AL. Ecological Applications Vol. 22, No. 4 FIG. 4. Interaction networks derived above and below chlorophyll a ¼ 11.6 lg/g. Arrows show direction of relationship, and symbols indicate whether the relationship is positive or negative. Coefficients not significant at P ¼ 0.05 are represented by dotted lines. See Fig. 3 for abbreviations. R 2 values are those for the simple multiple regression models buried within the overall structural equation modeling, SEM (e.g., R 2 ¼ 0.26 beside LBF is related to the multiple regression of Cs, OM, Chl a, and mud on LBF). survey of 19 estuaries, we were unable to develop a single overall model that covered all environmental conditions. Conversely, we did demonstrate a specific threshold in benthic chlorophyll a concentration that changed the architecture of the interaction web. We see this as an important step allowing scientists to refine hypotheses and experimental tests that can be used to more accurately inform environmental managers of potential risk of threshold responses due to changes in intrinsic dynamics. We consider the latter to be particularly important because the potential for threshold responses due to the interaction of intrinsic dynamics and environmental drivers should lead resource managers to assess environmental risks in very different ways. To do this they will need the support of empirical analysis from natural ecosystems. We developed a plausible interaction network, involving processes operating on intertidal flats based on previous studies reported in the literature from a wide variety of locations. Many of these studies involved manipulative experiments. The occurrence of feedbacks and indirect relationships in such networks suggests that simple cause–effect experiments are unlikely to fully capture the dynamical processes in ecosystems until they can be synthesized into broader interaction networks. When another process in fact mediates observed bivariate relations, this may account for contradictory effects in the literature. For example, microphytobenthic gross primary productivity is considered usually higher in sheltered muddy habitats (MacIntyre et al. 1996), whereas Yallop et al. (1994) reported greater values in non-cohesive sediments. Identifying interaction networks is particularly important where processes are associated with cross-scale interactions and positive feedbacks because they can predispose the ecosystem to rapid shifts in function. Our approach highlights that changes in environmental characteristics can modify the architecture of interaction networks and produce information that can be used to design future experiments to confirm both linkages and break points. For example, from our analysis we would want to focus experiments on factors likely to modify benthic chlorophyll a concentrations around the 11.6 lg/g threshold. We would also want to further investigate mechanistic links occurring as mud content increased from 10% to 30%. The key result of our study was the change in the architecture of the interaction networks around the benthic chlorophyll threshold as revealed by SEM (Fig. 4). Benthic chlorophyll a concentrations can be expected to vary with changes in temperature and light levels, but the data collected to build these networks were all collected in spring over daytime low tides. The inherent variability in this and the other variables included in the SEM adds to the variability below the factor ceiling defined by the quantile regression but does not prevent us being able to observe these important interactions. The aim of creating Fig. 4 is to show that interaction networks can abruptly change. From this, we infer that the large bioturbators on the intertidal flats change their interactions with a range of environmental factors associated with a threshold shift in the role of benthic chlorophyll a. We cannot infer the time scale of these different interactions, but the results imply that as benthic chlorophyll a concentrations drop, for example a result of elevated turbidity affecting light levels, the role of microphytobenthos as a food resource, as an influence on sediment stability and as a mediator of bioturbation induced nutrient regeneration all shift. In the context of our survey analysis, we have not measured nutrient flux or the sediment erosion potential, and we June 2012 INTERACTION WEBS AND RESILIENCE invoke these mechanisms based on local experimental studies and broader evidence from the literature. Designing the experiments necessary to confirm mechanisms and test the role of environmental change on network functioning is not a simple task. The potential importance of a large number of environmental factors that may modify the network leads to a bewildering combination of pairwise contrasts (Wootton 1994), and the processes involved in these interactions often operate over different space or time scales (Hewitt et al. 2007). The feedback processes that can generate the dynamical properties of the ecosystem also complicate the experimental elucidation of mechanisms because of the need to tease apart cause and effect relationships within feedback loops. We seek to emphasize the merits of combined and iterative approaches using both experimental and observational studies. We draw on a long history of experimental marine ecology to demonstrate the value of observational studies as a route to providing context, generality, and mechanisms to scale-up our results (Dayton 2003). Impacts on species or environmental characteristics that change feedbacks can have profound implications for resilience. Thus, it is imperative that methods are developed that can identify where and how such relationships may change. Our analysis also helps place experimental results into a broader environmental context. Ecological field studies are notoriously context dependent (Lawton 1999). Nevertheless, studying how broadscale factors influence ecology can be exceedingly informative (Thrush et al. 2000, Norkko et al. 2006). Our analysis demonstrates that synthesizing the results of different studies, addressing components of the macrofauna– sediment–microphytobenthos interaction network, can form the basis for quantitatively defining the architecture of interaction networks and provide clues to the generality of site-specific mechanistic studies (e.g., van de Koppel et al. 2001, Widdows et al. 2004, Thrush et al. 2006b, Van Colen et al. 2008, Weerman et al. 2010b). Differences in the importance of processes within the interaction network may account for major differences in experimental studies conducted in different locations. For example, experimental defaunation on intertidal flats in the Netherlands resulted in a major microphytobenthos bloom and changes in sediment topography associated with the accumulation of fine sediments (Montserrat et al. 2008, Van Colen et al. 2008). Such microphytobenthos blooms were not apparent in similar defaunation experiments conducted in more oligotrophic New Zealand systems (Thrush et al. 1996, 2008a). The ecosystem response is complicated but our analysis suggests that it is likely that another threshold, based on nutrient concentrations, could occur, beyond the scope of our data. Below it, in more oligotrophic systems, large bioturbating macrofauna play an important role, positively affecting microphytobenthos, through nutrient regeneration (Lohrer et al. 2004, Thrush et al. 2006b). Above it, in more eutrophic systems, the positive feedback between large bioturbating fauna and micro- 1221 phytobenthos diminishes in importance and the dominant role for macrofauna is grazing (Weerman et al. 2010a). Changes in these interactions could foreshadow major shifts in functional role of benthic organisms associated with increased eutrophication. Such early warning signals are useful because maintaining the role of benthic organisms in carbon and nutrient cycling are important if estuarine systems are to be restored from eutrophic conditions (Conely et al. 2007). We observed a simplification of the interaction network at low concentrations of sediment chlorophyll a where food resources for the large bioturbators appear to switch from high quality microphytobenthos to more refractory organic detritus. These low-quality food resources can be considered stressful for many benthic species. In this case, our results could be considered at odds with the stressgradient hypothesis (Menge and Sutherland 1987, Bertness and Callaway 1994), which predicts that facilitatory interactions should dominate in more stressful conditions. These models consider community level interactions (e.g., competition and predation) and how they are directly influenced by environmental stress gradients. While the nature of facilitatory interactions and the relative importance of physical and biotic stresses can modify these effects (Bruno et al. 2003, Bulleri et al. 2011), this hypothesis does not focus on how environmental change can influence selforganizing interactions. In soft-sediment habitats, many of the ecosystem functions involve interactions between animal behavior (e.g., bioturbation or bioirrigation) and the local environmental characteristics (e.g., sediment grain size, nutrient status), and these interactions can generate highly context-dependent results affecting how emergent processes change along gradients (Daleo and Iribarne 2009, Needham et al. 2010). The potential for shifts in the resilience of communities and ecosystems represents a profound ecological challenge in switching from hindsight to foresight (Thrush et al. 2009). Loss of resilience implies that an ecological system is prone to rapidly shift into a different state, which is frequently referred to as a regime shift. While some regime shifts have been driven by extreme environmental forcing, in many cases there is evidence that the interactions between organisms and their physical and chemical environment play an important role. The problem is that with hindsight we frequently lack sufficient environmental data to tease apart why systems have changed (Collie et al. 2004). However, such changes do happen and profoundly affect the way we should be thinking about managing ecosystems. Where an ecological system has the potential to lose resilience and undergo a regime shift, we cannot calibrate stress levels against ecological responses because the system will not necessarily respond linearly. This requires a shift in management perspective to focus on maintaining adaptive capacity and ‘‘resilience thinking’’ (Cumming et al. 2005, Walker and Salt 2006). The ability to demonstrate that the interaction networks operating within a particular system can give rise to self-organization, with network architecture changing abruptly across 1222 S. F. THRUSH ET AL. environmental thresholds, adds weight to the implementation of precautionary management approaches rather than relying on more traditional stress-response approaches. Extensive sampling across relevant environmental gradients or anthropogenic activities increases our ability to predict where such thresholds may occur. By learning how the network of interactions within a particular type of ecosystem is structured, we can begin to identify the types of interactions that, when broken, are likely to lead to major shifts. We suggest that this is a way forward in understanding resilience in nature and an important part of an iterative process of prediction and testing to inform the design of manipulative experiments and adaptive management to test specific cause–effect relationships. ACKNOWLEDGMENTS We thank our colleagues who helped with the original sample collection: Alf Norkko, Pip Nicholls, Greig Funnell, and Jo Ellis. 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