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Are We Mapping Ecosystems or Models? How Reconstruction Choices Shape Food Web Inference

Authors
Affiliations

Tanya Strydom

School of Biosciences, University of Sheffield, Sheffield, UK, S10 2TN

Baran Karapunar

School of Earth, Environment and Sustainability, University of Leeds, Leeds, UK, LS2 9JT

Jennifer A. Dunne

Santa Fe Institute, 1399 Hyde Park Road, Santa Fe, NM 87501, USA

Pincelli M. Hull

Department of Earth & Planetary Sciences, Yale University, New Haven, CT, USA

Crispin T.S. Little

School of Earth, Environment and Sustainability, University of Leeds, Leeds, UK, LS2 9JT

Catalina Pimiento

Department of Paleontology, University of Zurich, Zurich, Switzerland

Biosciences Department, Swansea University, Swansea SA28PP, UK

Andy Ridgwell

Department of Earth and Planetary Sciences, University of California, Riverside, CA, USA

Andrew P. Beckerman

School of Biosciences, University of Sheffield, Sheffield, UK, S10 2TN

Alexander M. Dunhill

School of Earth, Environment and Sustainability, University of Leeds, Leeds, UK, LS2 9JT

Published

October 14, 2026

Abstract

1. Ecological networks are increasingly used to compare community organisation, quantify interaction turnover, and infer responses to environmental change. However, interaction data are often incomplete, requiring researchers to predict network structure using approaches that encode different ecological assumptions. The extent to which these choices influence macroecological inference remains underexplored.

2. We investigate this problem using four successive marine assemblages spanning the Early Toarcian Extinction Event and subsequent recovery. We compare six food-web models representing feasibility-based, realised, and structural approaches to network construction. By quantifying network topology, pairwise interaction turnover, and extinction dynamics while holding species composition constant across models, we assess how model choice influences inferences about ecological change through time.

3. Model choice explained substantially more variation in network topology than temporal turnover across extinction and recovery phases. Models also predicted markedly different sets of pairwise interactions, even when their overall network structures were similar. Although species-level vulnerability rankings were comparatively robust across models, link-dependent extinction outcomes were more model-dependent, indicating that conclusions about ecological dynamics can depend on how interactions are reconstructed.

4. Our findings demonstrate that ecological networks are not neutral representations of communities, but model-dependent representations that can shape macroecological inference. Network reconstruction should therefore be treated as part of hypothesis specification rather than a technical step preceding analysis. Matching models to inferential goals and testing conclusions across alternative network representations are essential for distinguishing robust ecological patterns from those contingent on modelling assumptions.

Keywords

Network reconstruction, Macroecology, Ecological networks, Interaction turnover, Trophic organisation, Palaeoecology, Ecosystem resilience

1 Introduction

Understanding how biological communities are organised and how species interact is a central goal of ecology. While early efforts focused primarily on species richness and composition, there is growing recognition that communities are structured not only by which species occur, but also by how they interact (Thuiller et al. 2024; Mestre and Bastazini 2026; Gravel et al. 2019; Eisenhauer et al. 2026). Interaction networks are increasingly used as macroecological state variables to compare community organisation across environmental gradients (Tylianakis and Morris 2017), quantify β-diversity in interaction structure (Trøjelsgaard and Olesen 2016; Poisot et al. 2015), evaluate stability–complexity relationships (Allesina and Tang 2012), and assess vulnerability to global change (Hao et al. 2025). Consequently, ecological networks have become central to comparative analyses of ecological change, from latitudinal gradients (Hao et al. 2025; Michalska-Smith and Allesina 2019) to environmental transitions across deep time (Dunhill et al. 2024; Roopnarine 2006).

However, ecological networks are rarely fully observed. Interaction data are often incomplete, and sampling effort varies across contemporary, biogeographic, and historical contexts (Sandra et al. 2025; Poisot et al. 2021; Jordano 2016). Interactions and network structure must therefore frequently be inferred through predictive approaches rather than reconstructed directly from observations (Strydom et al. 2021a). A key, often implicit, assumption is that the variation in these reconstructed network properties reflects ecological differences among communities rather than methodological artefacts introduced during the construction process (Brimacombe et al. 2023; Fründ et al. 2016).

Interactions are commonly inferred indirectly from traits (e.g., body size), phylogenetic relationships, species co-occurrence, or theoretical constraints (Strydom et al. 2021b; Morales-Castilla et al. 2015). Network construction is therefore not simply an observational exercise, but an inference step shaped by assumptions about how interactions arise. Different prediction frameworks encode different assumptions, representing interactions as biologically feasible combinations of traits, realised diets shaped by energetic optimisation, or networks constrained by structural properties (Strydom et al. 2026; Gauzens et al. 2025; Petchey et al. 2011; Guimarães 2020). These assumptions act as ‘structural priors’ that can shape network architecture, potentially generating different representations of trophic structure from the same species pool. If alternative approaches systematically produce different network configurations, comparisons among communities risk conflating ecological variation with differences imposed by the prediction method. The reliability of macroecological inference therefore depends not only on the available data, but also on the structural assumptions underlying network construction.

Despite rapid methodological development in interaction prediction, and comparisons among methods within individual frameworks (e.g., Pichler et al. (2019)), the extent to which alternative network-construction approaches alter macroecological conclusions remains insufficiently explored. This is particularly consequential for comparative studies, in which network metrics are routinely interpreted as indicators of community properties, dynamics, and differences (Delmas et al. 2018; Allesina and Tang 2012; Poisot et al. 2015). When alternative approaches impose different constraints on interaction topology, apparent differences among communities may partly reflect the assumptions of the prediction framework rather than underlying ecological processes. Establishing the sensitivity of macroecological conclusions to these assumptions is therefore essential for interpreting patterns inferred from predicted networks.

Deep-time ecosystems provide a particularly useful context in which to examine this problem. Their trophic interactions cannot be observed directly and must instead be inferred from traits, co-occurrence, and theoretical constraints (Dunne et al. 2008; Dunne et al. 2014; Dunhill et al. 2024; Roopnarine 2006; Smith et al. 2025). Network-based inferences about these systems are consequently dependent on prediction, making the assumptions underlying alternative approaches both unavoidable and potentially consequential. Here, we use the Early Toarcian Extinction Event (ETEE; ~183 Ma) as a case study. Recent work by Dunhill et al. (2024) used reconstructed food webs to infer changes in community stability and structure during this event, concluding that the extinction selectively affected specialist and infaunal organisms and produced simplified ecosystems increasingly dominated by ecological generalists and opportunistic taxa. Rather than treating these conclusions as independent of the reconstruction method, we ask a broader question: to what extent are ecological inferences about the ETEE contingent on the model used to reconstruct trophic interactions?

To address this question, we reconstruct ecological networks for four successive assemblages spanning the ETEE using six contrasting prediction approaches that represent feasibility-based, realised, and structural approaches to network construction. By holding species composition constant while varying the prediction method, we isolate the influence of model choice on inferred network structure and the ecological conclusions derived from it. We assess whether conclusions drawn from a single model, including those of Dunhill et al. (2024), remain robust across alternative, equally plausible representations of interaction structure, or whether different approaches yield substantially different interpretations of ecological change. More broadly, this case study examines how strongly macroecological conclusions derived from ecological networks depend on the assumptions embedded in the models used to construct them.

2 Materials and Methods

2.1 Study system and fossil data

The Early Toarcian Extinction Event (ETEE) was a major Early Jurassic biotic crisis associated with rapid climatic warming, widespread marine oxygen depletion, and substantial ecological turnover (Kemp et al. 2024). Although classified as a second-order extinction event globally, it resulted in the loss of approximately 26% of marine genera worldwide (Little and Benton 1995). Ecological disruption was particularly severe in shallow-marine ecosystems, where environmental stress drove substantial restructuring of benthic communities and food webs. In the Cleveland Basin of Yorkshire, UK, the event resulted in the extinction of approximately 60% of marine species, including up to 87% of benthic taxa (Caswell et al. 2009).

We used fossil occurrence data from the Cleveland Basin spanning the late Pliensbachian to the late Toarcian, encompassing the ETEE and subsequent ecological recovery. To characterise changes in network structure across this interval, we defined four successive palaeo-assemblages: pre-extinction (Pliensbachian), post-extinction (early Toarcian), early recovery (early–middle Toarcian), and late recovery (late Toarcian). For each taxon, we recorded body size and characterised ecological traits using Bambach’s ecospace framework (Bambach et al. 2007), coding tiering, motility, and feeding mode following Dunhill et al. (2024). Each palaeo-assemblage was treated as a community of potentially interacting taxa. The dataset comprised 57 taxa representing diverse marine groups, including cephalopods, bivalves, and gastropods. Further details on the dataset, including taxonomic composition, trait coding, and temporal resolution, are provided in Dunhill et al. (2024).

2.2 Network construction models

2.2.1 Conceptual classification of network types

For the purposes of this manuscript, we use the term model as an umbrella term for the different approaches used to construct ecological networks. We acknowledge that these approaches differ in their theoretical foundations and in the extent to which they represent mechanistic, statistical, or structural models in a conventional sense. Here, model refers specifically to the framework used to encode assumptions about trophic interactions and generate a network representation from a given set of inputs. This operational definition allows us to compare alternative approaches consistently while recognising that they differ in the ecological hypotheses they represent.

Ecological network reconstruction encompasses a range of approaches that differ in how trophic interactions are inferred and in the ecological assumptions they encode. For the purposes of this study, we group these approaches into three conceptual classes: feasibility-based, realised, and structural models. These classes represent distinct hypotheses about how interactions arise and constrain the possible structure of food webs (Strydom et al. 2026).

Feasibility-based models infer potential interactions among species from trait compatibility or mechanistic rules. They define a feasible interaction space by identifying consumer–resource pairs that are biologically possible, without necessarily specifying which interactions are realised in a particular community. In palaeoecological contexts, where direct observations of trophic interactions are unavailable, these models provide a formalised, biologically grounded means of translating trait information and expert knowledge into predictions of potential interactions (e.g., Fricke et al. (2022); Roopnarine (2006); Shaw et al. (2024)).

Realised models aim to approximate the subset of feasible interactions expected to occur under particular ecological constraints. These approaches impose additional constraints, such as energetic optimisation, mechanical limitations, or probabilistic relationships between traits, to generate networks representing putatively realised diets (Schneider et al. 2016; Brose et al. 2006). Although they may share inputs with feasibility-based approaches, realised models differ in the assumptions they make about resource selection and the processes shaping trophic interactions.

Structural models, in contrast, generate networks according to general topological rules rather than reconstructing trophic interactions from species-specific ecological information. These rules may constrain properties such as species richness, connectance, or trophic organisation (Allesina et al. 2008). Because they do not incorporate the biological characteristics of the focal taxa, these models do not reconstruct the specific trophic interactions of a particular ecological community. Instead, they provide theoretical reference networks against which the structure of biologically informed reconstructions can be compared, serving a role analogous to that of null models.

We selected six models to represent these three conceptual classes (Table Table 1), sampling distinct assumptions about trophic interaction structure rather than attempting an exhaustive comparison of available methods. Specifically, we included one feasibility-based model (PFWIM), three realised models (ADBM, ATN, and Body-size ratio), and two structural models (Random, based on the Erdős–Rényi framework, and Niche). Together, these approaches represent different ways of translating species information or general structural constraints into network predictions.

Table 1: Six different network modelling approaches that can be used to construct food webs for both this specific community but are also broadly suited to palaeo network prediction. These models span all facets of the network representation space (feasibility, realised, and structural network).
Model Assumptions Data needs Limitation Network type Key reference Usage examples
Random Links assigned randomly Species richness, number of links Parameter assumptions, species agnostic Structural Erdős and Rényi (1959) Null-model comparisons; testing whether observed network structure (connectance, motifs) deviates from random expectations
Niche Species ordered along a ‘niche axis’; interactions interval-constrained Species richness, connectance Parameter assumptions, species agnostic Structural Williams and Martinez (2008) Evaluating trophic hierarchy and motif structure; baseline structural predictions
Allometric diet breadth model (ADBM) Energy-maximizing predator diets Body mass, abundance/biomass Assumes optimal foraging; does not account for forbidden links Realised Petchey et al. (2008) Predicting realized predator diets; exploring secondary extinctions
Allometric trophic network (ATN) Links constrained by body-size ratios and functional response Body mass, number of basal species Assumes only mechanical/energetic constraints Realised Brose et al. (2006); Gauzens et al. (2023) Simulating species loss; evaluating network collapse dynamics
Paleo food web inference model (PFWIM) Interactions inferred using trait-based mechanistic rules Feeding traits Assumes feeding mechanisms; trait resolution required Feasibility Shaw et al. (2024) Mapping feasible trophic interactions; assessing secondary extinctions
Body-size ratio model Probabilistic assignment of links based on predator–prey size ratios Body mass Does not account for forbidden links Realised Rohr et al. (2010) Estimating likely interactions; simulating cascading effects.

Although some models share inputs (e.g.,, body mass is used by ADBM, ATN, and Body-size ratio) they differ in how those inputs constrain or determine trophic interactions. Consequently, differences among their resulting networks cannot be attributed solely to differences in input data; they may also reflect the ecological assumptions and structural constraints encoded by each model.

Other feasibility-based approaches are available (e.g., Roopnarine (2006)), but we selected PFWIM as a representative of this class because it formalises biologically feasible consumer–resource relationships in a framework that can be parameterised and applied across datasets. This provides a transferable alternative to approaches that rely more heavily on system-specific expert assignment of links.

This classification provides a framework for evaluating how alternative assumptions about trophic interactions influence inferred network structure and subsequent ecological interpretation. By holding species composition constant while varying the network-construction model, we assess the extent to which differences in network properties and macroecological conclusions reflect the assumptions embedded in each approach rather than differences in the species present.

2.2.2 Network generation and replication

We evaluated six network reconstruction models using the approaches listed in Table 1, expanded descriptions of model assumptions, parameterisation, and link-generation rules are provided in Supplementary Material S1, including full mathematical formulations and parameter definitions. For each community, 100 stochastic network realisations were generated per model (n = 2400 in total, 600 per time bin). Of the simulated networks we excluded those that had a network metric that was considered an outlier (\(> 3\sigma\) from the mean). This resulted in the removal of 13 networks (of which 3 were ATN model networks and the rest Random model networks), typically due to very large trophic level values. Where models required species body mass or trait values, these were uniformly sampled within the different size classes. This was done by sampling from a truncated lognormal distribution, with the the upper and lower bounds of each size class serving as the boundaries. Alternative distributions (lognormal and uniform) were tested, and shown to have a minimal impact on topology (Supplementary Material S1; Figure S1). Random and Niche models were parameterised using connectance values drawn from an empirically realistic range (0.05–0.25; Curtsdotter et al. (2011)). For the Random model, which requires link number explicitly, connectance (Co) was first converted to expected link number (L) using \(L = Co\times S^2\), ensuring consistency in network density across all models. Richness (S) was determined by the number of species for each time bin. For the Body-size ratio model, we followed the approach of Yeakel et al. (2014) using only the body-mass scaling to determine links between species. Sensitivity of network structure to these parameter choices is evaluated in Supplementary Material S1. The PFWIM generates a deterministic feasible metaweb for a given trait configuration. To allow for statistical analyses we introduced variation by applying a downsampling procedure that randomly pruned links until the connectance of the network decreased by 0.1. This step allowed us to introduce statistical variation while still preserving most of the original metaweb structure. The choice of the magnitude of connectance change and its effects on network structure are discussed in Supplementary Material S1.

2.3 Network metrics and structural analyses

We quantified network structure using a suite of network metrics Table 2, capturing overall network properties, motif structure, and species-level variability. Differences among models were assessed using a multivariate analysis of variance (MANOVA), with model identity as a fixed factor and the full set of network metrics as response variables. Variance partitioning was further assessed using permutational multivariate analysis of variance (PERMANOVA). Pairwise interaction turnover was quantified using link-based \(\beta\)-diversity and was calculated following the framework of Poisot et al. (2012) among the four of the models (ADBM, ATN, body-size ratio, and PFWIM). Random and Niche models were excluded because they are species-agnostic models that generate networks matching broad topological properties (e.g., connectance and degree distributions) rather than predicting biologically realistic species-specific interactions. Specifically, we looked at interaction rewiring among shared species (\(\beta_{OS}\), see S1 for additional details on the decomposition of interaction β-diversity and its implementation), which allows separation of differences arising from altered interaction identities among species common to both networks. Because all networks within a given assemblage are constructed from the same species pool, differences in interaction structure primarily reflect ‘rewiring’ of trophic links due to stochasticity in the model rather than species turnover. All calculations were performed for all model combinations within the same assemblage (time bin).

Table 2: Network properties used for analysis as well as a brief description of how they are derived.
Metric Definition Reference
Connectance \(L/S^2\), where \(S\) is the number of species and \(L\) the number of links Williams and Martinez (2004)
Maximum trophic level Prey-weighted trophic level averaged across taxa Williams and Martinez (2004)
Trophic Index (NDTI) Normalised difference between the number of S1 (linear chains) and S2 (omnivory) motifs \((S1 - S2)/(S1 + S2)\) Milo et al. (2002); Dansereau et al. (2024)
Competition index (NDCI) Normalised difference between the number of S4 (exploitative competition) and S5 (apparent competition) motifs \((S4 - S5)/(S4 + S5)\) Milo et al. (2002); Dansereau et al. (2024)
Generality Standard deviation of normalised generality of all species within network, normalised by \(L/S\) Williams and Martinez (2000)
Vulnerability Standard deviation of normalised vulnerability of all species within network, normalised by \(L/S\) Williams and Martinez (2000)

2.4 Extinction simulations and their evaluation

Following Dunhill et al. (2024), we simulated species loss from pre-extinction networks under trait-based, network-position–based, and random removal scenarios. Species were deleted sequentially, with cascading secondary extinctions allowed to propagate. Simulated post-extinction states were compared to observed (i.e., reconstructed from fossil occurrence data) networks using mean absolute differences (MAD) of food web metrics (Table 2) and modified true skill statistics (TSS) calculated separately at the node level (species presence/absence) and link level (presence/absence of interactions between species pairs). Scenarios were ranked within each model based on MAD and TSS performance, and Kendall’s rank correlation coefficient (\(\tau\)) was used to quantify agreement in scenario ordering across models. Detailed implementation of extinction sequences and secondary extinction rules is provided in Supplementary Material S1.

2.5 Software and Reproducibility

Ecological network reconstruction and extraction of structural metrics were conducted in Julia v1.11.4 (Bezanson et al. 2017) using the model implementations provided in Supplementary Material S1. All statistical analyses, including MANOVA, PERMANOVA, and post hoc comparisons, were performed in R v4.5.2 (R Core Team 2024). The full analytical workflow, including data preprocessing, network generation, extinction simulations, and metric calculation, is fully reproducible from the archived codebase.

3 Results

We found that different models (even those that appeared structurally similar) yielded fundamentally different ecological inferences. Across the six models the inferred food web structure, species interactions, and extinction dynamics differed. Multivariate analyses showed pronounced separation among models in network structure space (Figure 1), with model explaining most of the variance in structural properties (Figure 2). Notably, we had a consistenly high rate of species turnover between models (Figure 3) and differnces in inferences around extinction dynamics (Figure 4), demonstrating that structural similarity does not guarantee similarity in species-level diets or inferred behaviour of the system.

Model substantially influenced inferred extinction dynamics. Temporal trajectories of network collapse, interaction loss, and motif reorganisation differed among approaches (Figure 2). Although node-level extinction rankings were often broadly consistent, link-level outcomes and extinction inferences were highly sensitive to model assumptions (Figure 4). Together, these results show that ecological inferences drawn from networks are dependant on the model used.

3.1 Network structure differs among models

Across modelling approache, network structure (network properties listed in Table 2) differed significantly (MANOVA, Pillai’s trace = 2.79, approximate \(F_{30,11880}\) = 502.1, \(p<\) 0.001), indicating that the model choice systematically alters inferred food web topology. Linear discriminant analysis (LDA) identified two dominant axes of variation, explaining 95.2% of the differences between models. LDA axis one correlated with trophic index, vulnerability, and generality. LDA axis two correlated with competition index, generality, and connectance (Figure 1; Table S1, Figure S1). Broadly indicating that structural differences are driven by the way in which the models assign links to species as opposed to macro-level network properties such as maximum trophic level.

Figure 1: Linear discriminant analysis (LDA) of ecological network metrics for the six model types. Each point represents a replicate (n = 400 per approach), and ellipses indicate 95% confidence regions for each model.

3.1.1 Variance partitioning of network structure

Permutational multivariate analysis of variance (PERMANOVA) revealed that modelling framework accounted for most of the variation in multivariate network structure (\(R^2\) = 0.597, \(p\) < 0.001), whereas temporal turnover across extinction phases explained a near negligable proportion of variance (\(R^2\) = 0.001, \(p\) < 0.001), alongside the model \(\times\) time interaction (\(R^2\) = 0.03, \(p\) < 0.001), indicating limited but significant time-dependent divergence among models. Thus, differences among models were more than an order of magnitude greater than differences that could be associated with ecological turnover through the extinction-recovery period, even though the Pliensbachian–Toarcian dataset was characterised with a significant community turnover.

To determine whether the dominance of the model reflected absolute mean shifts among time bins, we repeated the analysis after centring network metrics within each extinction phase. This procedure removes between-phase differences while retaining within-phase structural variation. Even after temporal bin-standardised centring, the model explained the majarity of the observed multivariate variance (\(R^2\) = 0.704, \(p\) < 0.001). These results demonstrate that the influence of modelling approach is not driven by temporal mean differences but reflects intrinsic divergence among models in how ecological interactions are organised.

3.1.2 Statistical Drivers of Network Variation

To identify which specific structural properties drive the multivariate separation observed above, we partitioned variance at the level of individual network metrics. Results show that model had a significantly stronger influence on network structure than the ecological signal of species loss. In panel A of Figure 2 for certain network metrics models predict different responses across time (e.g., Trophic Index), as well as differing magnitudes of change (e.g., connectance). A two-way factorial ANOVA across all eight network metrics confirmed that model was the dominant driver of variance, with partial eta-squared values (\(\eta^{2}_{p}\)) exceeding 0.7 (Figure 2, panel B; Table S3), with the exception of maximum trophic level for which \(\eta^{2}_{p} = 0.1\). While time (pre to post extinction recovery) significantly altered network structure (\(p<0\).001), its relative importance remained secondary, typically explaining a smaller fraction of the strucutral variation. This is clear in panel B of Figure 2 where all metrics are within the bottom-right (model-dominated) triangle (below the dashed line), emphasising that model assumptions outweigh the ecological signal of extinction-driven changes. Furthermore, the high inter-model Coefficient of Variation (CV) observed for some metrics (Table S4, Figure S4) highlights a sensitivity. The properties that are influenced (albeit modestly) by time are also those upon which models disagree most profoundly (larger point size). This demonstrates that our understanding of structural food web collapse in the fossil record is highly contingent on the chosen model, particularly when examining complex trophic pathways beyond simple macro-scale properties like connectance.

Figure 2: Temporal changes in food web structure and the relative influence of model and ecological turnover on network properties. (A) Changes in network metrics through time, expressed as deviations from pre-extinction conditions (\(\delta\)). Metrics are faceted and scaled independently to highlight differences in temporal trajectories among network properties. (B) Relative influence of model (x-axis) and time (y-axis) on individual network metrics. The dashed 1:1 line indicates equal explanatory power. Metrics below the line are more strongly influenced by model than by temporal turnover. Bubble size represents the model × time interaction, and colour indicates disagreement among models (mean CV%), with darker colours indicating greater divergence in metric estimates.

3.1.3 Inferred pairwise interactions vary widely among models

Despite some models approaches showing similar network metrics (e.g., ATN and ADBM, Figure 1), specific pairwise interactions often differed. Pairwise \(\beta_{OS}\) revealed that certain model pairs shared very few links (Figure 3). Perhaps most striking is that the two size-based models (ADBM, ATN) that were broadly similar in structure still showcase a high degree of interaction turnover, demonstrating that agreement in overall network structure does not guarantee agreement in species-level interactions. As the PFWIM is a metaweb model on would expect that is should have the greatest dissimilarity with the other body-size constrained models - indeed we see a high degree of turnover, hoever this is not notably higher than turnover between the body size models. Overall we see that at the pairwise level we see that each model tends to have a distinct set of pairwise interaction from the other. Not the the the moderate degree of interation turuover for within models from the PFIM can be ascribed to the the downsampling of links, wheres for the body-size ration this turnover can be ascribed to the fact that interactions are assigned a probability and thus we would expect some random noise.

Figure 3: Pairwise interaction turnover (\(\beta_{OS}\)) among four food web models that infer species-specific trophic interactions (ADBM, ATN, Body-size Ratio, and PFWIM). Each cell represents the mean turnover value between a pair of models, with darker colours indicating greater dissimilarity in inferred interactions. High turnover values indicate strong disagreement in predicted trophic links, whereas lower values indicate greater similarity.

3.2 Model choice influences inferred extinction dynamics

To evaluate how model choice affects inferred extinction dynamics, we compared simulated post-extinction networks to observed networks using mean absolute differences (MAD) for network-level metrics and true skills statistics (TSS) for node- and link-level outcomes (Figure 4). Across models, MAD-based rankings were generally positively correlated (Kendall’s \(\tau\) ≈ 0.122 across the structural metrics), indicating weak but generally positive agreement on the relative importance of extinction mechanisms despite the substantial differences observed between modelled network structure. The exception to this is maximum trophic level where we see more disagreement between the model rankings of extinction mechanisms.

Node-level TSS rankings were similarly consistent across models (Kendall’s \(\tau\) ≈ 0.528), reflecting broadly comparable node-level removal sequences. In contrast, link-level outcomes were far more variable (Kendall’s \(\tau\) ≈ 0.143), highlighting that inferences about which interactions are lost or retained during collapse and recovery are highly model contingent. However we see that models tend to converge on similar species-level extinction patterns, whereas from link-level extinction processes the inferred pathways of interaction loss and cascading dynamics depend strongly on the model.

Figure 4: Heatmaps showing pairwise Kendall rank correlation coefficients (\(\tau\)) between models for each network metric. Each panel corresponds to a different metric and displays the degree of agreement in extinction-scenario rankings across models based on mean absolute differences (MAD) between observed and predicted network values as well as differences in species links (TSS). Positive \(\tau\) values (purple) indicate concordant rankings between models, whereas negative \(\tau\) values (sienna) indicate opposing rankings. Paler colours approaching zero represent little or no agreement.

4 Discussion

4.1 Network reconstruction is not neutral: assumptions shape ecological theory

Food web reconstruction is often treated as a methodologically neutral step, with network properties subsequently interpreted as reflections of underlying ecological organisation. This assumes that reconstructed webs provide structurally comparable representations of ecological communities, such that differences in connectance, trophic structure, motif composition, or robustness reflect biological variation rather than modelling assumptions.

This assumption is particularly important in deep-time palaeoecology, where interactions are rarely observed directly and must be inferred through modelling. Although this makes making assumptions unavoidable, it also renders ecological interpretations sensitive to model choice, creating a risk that methodological artefacts are misinterpreted as genuine macroevolutionary or palaeoecological signals. The same concern applies to contemporary food webs, particularly as the field increasingly adopts prediction-forward approaches to network construction (Strydom et al. 2021a).

Our results demonstrate that model choice explains substantially more variation in food web topology than temporal turnover across extinction and recovery phases. Despite sharing an identical regional taxon pool, alternative models generated distinct structural signatures occupying non-overlapping regions of multivariate space (Figure 1). Model type remained the dominant driver of structural variation even after accounting for differences between phases, indicating that models impose distinct structural priors that shape emergent topology, species roles, and predictions of extinction dynamics. Network structure is therefore determined not solely by ecological communities, but jointly by ecological data and the assumptions used to infer interactions (Strydom et al. 2026; Gauzens et al. 2025).

Variance partitioning further showed that model choice dominated variation across individual network properties, suggesting that its influence extends across multiple dimensions of network organisation rather than being driven by a single metric. Although this may partly reflect the propagation of constraints on individual structural properties into emergent network characteristics (Poisot and Gravel 2014; Michalska-Smith and Allesina 2019), constraining connectance to be identical across all replicates retained structural differences between models, albeit to a lesser degree (Supplementary Material S2). Notably, the properties exhibiting the strongest temporal signals also showed the greatest inter-model disagreement, suggesting that temporal trends are hardest to resolve where models diverge most strongly (panel B, Figure 2).

Model disagreement was even more pronounced at the level of individual pairwise interactions. Models producing structurally similar networks often inferred substantially different sets of species-level interactions (Figure 3), suggesting that interaction predictions are particularly sensitive to model choice. This indicates that models can impose distinct rules governing network structure without agreeing on the specific links between species pairs. Importantly, this comparison concerns agreement between predictions, not their accuracy.

This pattern is particularly evident in the ATN and ADBM models. Both showed substantial variation along LDA axis 2, strongly correlated with the competition index, but relatively little variation along axis 1, strongly correlated with the trophic index and vulnerability (Figure 1). Together with the limited variation in trophic index across extinction and recovery phases (panel A, Figure 2), this suggests that these models constrain aspects of trophic structure, including the balance of linear chains and omnivory, despite variation in competitive structure. However, their structural similarity does not translate into agreement on individual interactions (Figure 3). Thus, models shape not only the overall structure of inferred food webs but also the ecological interactions through which that structure is realised.

4.3 Implications for network-based research

These findings have important implications for comparative network studies. Because different models encode different ecological assumptions, observed differences among networks may partly reflect model choice rather than ecological processes (Brimacombe et al. 2023, 2024). Without explicit standardisation or sensitivity analysis, methodological heterogeneity can be mistaken for biological signal. Food web ecology has devoted substantial effort to understanding how topology shapes dynamics (Allesina and Tang 2012; Dunne et al. 2002), but comparatively less attention has been paid to how reconstruction methods shape topology. Our findings indicate that these questions cannot be separated. However, disagreement among models does not mean that any single approach is necessarily wrong (Stouffer 2019; Petchey et al. 2011). Rather, different frameworks emphasise different ecological constraints, such as trait compatibility, energetic optimisation, or topological regularity. The challenge is therefore to match the model to the question at hand.

As network approaches are increasingly used to investigate ecological organisation across latitudinal gradients (Tylianakis et al. 2008), climate-driven changes (Gilman et al. 2010), and stability under species loss (Hao et al. 2025; Marjakangas et al. 2025), we need to consider how model choice may influence these results. Studies frequently interpret variation in connectance, trophic height, interaction ()-diversity, and robustness as evidence of ecological differentiation across regions or through time (e.g., Pellissier et al. 2018; Trøjelsgaard and Olesen 2016). Our results show that model choice can systematically alter inferred topology and disturbance dynamics even when species composition is held constant. Apparent differences in network structure across spatial or climatic gradients may therefore reflect model choice as much as underlying ecological processes. Comparative studies using different modelling appraoches should consequently standardise their methods or explicitly quantify the sensitivity of their conclusions to alternative network representations.

No single model is universally correct. Rather, each represents a distinct hypothesis about how ecological interactions are constrained (Petchey et al. 2011; Strydom et al. 2026). Model choice should therefore be treated as part of hypothesis specification, rather than as a technical step preceding analysis. Researchers must align network-construction approaches with their ecological questions, whether these concern potential interactions, realised diets, or broad structural properties, while recognising that the resulting inferences may differ in their sensitivity to model choice. Box 1 translates these findings into practical guidance for selecting network representations and evaluating the robustness of the conclusions drawn from them. Recognising this asymmetry is essential for distinguishing robust ecological patterns from conclusions contingent on modelling assumptions.

A more robust approach to food web ecology would treat network construction as a testable component of ecological inference, incorporating probabilistic link prediction where appropriate and routinely evaluating the sensitivity of conclusions to alternative representations of interaction structure. Such an approach aligns with recent advances in probabilistic and ensemble network modelling (Banville et al. 2025; Poisot et al. 2016; Wootton et al. 2021). More fundamentally, it recognises that ecological networks are not simply representations of communities, but model-dependent representations through which ecological patterns are identified and interpreted. Their value as macroecological state variables therefore depends not only on their capacity to capture ecological organisation, but also on whether the patterns they reveal persist across plausible representations of interaction structure.

NoteMatching network models to ecological questions

Network reconstruction is not a neutral step in ecological inference. Different approaches encode different assumptions about which interactions are possible, which are likely to occur, and how network structure is generated. Our results suggest four considerations for selecting network models and evaluating the conclusions drawn from them. These are practical guidelines rather than prescriptive rules: the appropriate approach depends on the ecological question, the available data, and the level of inference required.

1. Define the ecological scale you want to infer

Begin by specifying whether the objective is to identify potential interactions, estimate realised trophic links, characterise network structure, or evaluate ecological dynamics. These objectives are not interchangeable. A model designed to identify biologically feasible interactions does not necessarily predict realised diets, while a structural model can provide a useful reference without reconstructing the interactions of a specific community. The target of inference should therefore determine the choice of network representation.

2. Match the network representation to the question

Select a model whose assumptions are appropriate for the ecological process or property of interest. Trait-based feasibility approaches may be useful for identifying potential consumer–resource relationships, while models incorporating energetic, mechanical, or probabilistic constraints can provide alternative estimates of realised interactions. Structural models offer theoretical reference points for evaluating network organisation. However, no model class guarantees accurate reconstruction, and different approaches may generate distinct network structures even when applied to the same species pool.

3. Test robustness at the level of the conclusion

Evaluate model sensitivity using the specific quantities that underpin the ecological claim. Agreement in overall network structure does not necessarily imply agreement in individual interactions. Where conclusions depend on particular links, compare link-level predictions directly; where they concern network dynamics, repeat the analysis across plausible network representations. Distinguish conclusions that persist across models from those that depend on a particular reconstruction. Agreement indicates robustness to the models considered, not proof of accuracy.

4. Distinguish imposed properties from emergent patterns

Identify which network properties are prescribed by the model, which are used as inputs or constraints, and which emerge from the resulting topology. Properties fixed during network construction cannot subsequently provide independent evidence of ecological differences when constraints on one property may influence other network metrics. For example, fixing connectance can constrain the emergent properties of networks (Poisot and Gravel 2014). Interpret these properties in the context of the assumptions that generated them, and consider the intended application and original purpose of each model.

Together, these considerations encourage researchers to treat network construction as part of hypothesis specification rather than a technical step preceding analysis. By aligning model choice with the target of inference and testing the sensitivity of conclusions to alternative representations, researchers can better distinguish robust ecological patterns from those conditional on modelling assumptions.

5 Conclusions

Ecological network reconstruction is not a neutral methodological step, but a theoretical choice that shapes ecological inference. By applying six contrasting models to an identical species pool, we show that model choice systematically influences inferred network structure, interaction identity, and inferred extinction dynamics. While some broader extinction patterns were comparatively robust (such as node-level retention of species through an extinciton even), fine-scale interactions were highly model contingent. The reliability of network-based inference is therefore scale dependent, with robustness at one level of ecological organisation not necessarily extending to another.

These findings have implications beyond deep-time palaeoecology. Ecological networks are increasingly used to compare communities across environmental gradients and through time, often treating variation in network properties as evidence of ecological differentiation. Yet, when alternative reconstruction approaches generate different structural representations from the same species pool, the resulting differences cannot be attributed to ecological processes alone. Comparative inference therefore requires not only consistent ecological data, but also explicit consideration of how modelling assumptions shape the network properties being compared.

Ultimately, the value of ecological networks as tools for macroecological inference depends on distinguishing patterns that are robust across plausible representations from those contingent on a particular reconstruction approach. No single model captures every aspect of ecological organisation, and agreement among models does not guarantee accuracy. However, comparing alternative representations, matching models to inferential goals, and evaluating sensitivity at the level of the ecological conclusion can help establish which inferences are robust and which remain conditional on model assumptions. The central challenge is therefore not simply to reconstruct ecological networks, but to establish when the ecological patterns inferred from them can be trusted.

Data and Code Availability Statement: The empirical data, derived network datasets, and all analysis scripts are archived in a public Zenodo repository (DOI: 10.5281/zenodo.21200527), which includes a complete README file describing software dependencies, execution order, and reproduction instructions.

Acknowledgements: TS, BK, APB, and AMD received funding from NERC/NSF grant number NE/X015025/1.

References

Allesina, Stefano, David Alonso, and Mercedes Pascual. 2008. “A General Model for Food Web Structure.” Science 320 (5876): 658–61. https://doi.org/10.1126/science.1156269.
Allesina, Stefano, and Si Tang. 2012. “Stability Criteria for Complex Ecosystems.” Nature 483 (7388): 205–8. https://doi.org/10.1038/nature10832.
Bambach, Richard K., Andrew M. Bush, and Douglas H. Erwin. 2007. “Autecology and the Filling of Ecospace: Key Metazoan Radiations.” Palaeontology 50 (1): 1–22. https://doi.org/10.1111/j.1475-4983.2006.00611.x.
Banville, Francis, Tanya Strydom, Penelope S. A. Blyth, et al. 2025. “Deciphering Probabilistic Species Interaction Networks.” Ecology Letters 28 (6): e70161. https://doi.org/10.1111/ele.70161.
Bezanson, Jeff, Alan Edelman, Stefan Karpinski, and Viral B. Shah. 2017. “Julia: A Fresh Approach to Numerical Computing.” SIAM Review 59 (1): 65–98. https://doi.org/10.1137/141000671.
Brimacombe, Chris, Korryn Bodner, Dominique Gravel, Shawn J. Leroux, Timothée Poisot, and Marie-Josée Fortin. 2024. “Publication-Driven Consistency in Food Web Structures: Implications for Comparative Ecology.” Ecology 106 (1). https://doi.org/10.1002/ecy.4467.
Brimacombe, Chris, Korryn Bodner, Matthew Michalska-Smith, Timothée Poisot, and Marie-Josée Fortin. 2023. “Shortcomings of Reusing Species Interaction Networks Created by Different Sets of Researchers.” PLOS Biology 21 (4): e3002068. https://doi.org/10.1371/journal.pbio.3002068.
Brose, Ulrich, Tomas Jonsson, Eric L. Berlow, et al. 2006. “Consumerresource Body-Size Relationships in Natural Food Webs.” Ecology 87 (10): 2411–17. https://doi.org/https://doi.org/10.1890/0012-9658(2006)87[2411:CBRINF]2.0.CO;2.
Caswell, Bryony A., Angela L. Coe, and Anthony S. Cohen. 2009. “New Range Data for Marine Invertebrate Species Across the Early Toarcian (Early Jurassic) Mass Extinction.” Journal of the Geological Society 166 (5): 859–72. https://doi.org/10.1144/0016-76492008-0831.
Curtsdotter, Alva, Amrei Binzer, Ulrich Brose, et al. 2011. “Robustness to Secondary Extinctions: Comparing Trait-Based Sequential Deletions in Static and Dynamic Food Webs.” Basic and Applied Ecology 12 (7): 571–80. https://doi.org/10.1016/j.baae.2011.09.008.
Dansereau, Gabriel, Ceres Barros, and Timothée Poisot. 2024. “Spatially Explicit Predictions of Food Web Structure from Regional-Level Data.” Philosophical Transactions of the Royal Society B: Biological Sciences 379 (1909). https://doi.org/10.1098/rstb.2023.0166.
Delmas, Eva, Mathilde Besson, Marie-Hélène Brice, et al. 2018. “Analysing Ecological Networks of Species Interactions.” Biological Reviews, June 20, 112540. https://doi.org/10.1111/brv.12433.
Dunhill, Alexander M., Karolina Zarzyczny, Jack O. Shaw, Jed W. Atkinson, Crispin T. S. Little, and Andrew P. Beckerman. 2024. “Extinction Cascades, Community Collapse, and Recovery Across a Mesozoic Hyperthermal Event.” Nature Communications 15 (1): 8599. https://doi.org/10.1038/s41467-024-53000-2.
Dunne, Jennifer A., Conrad C. Labandeira, and Richard J. Williams. 2014. “Highly Resolved Early Eocene Food Webs Show Development of Modern Trophic Structure After the End-Cretaceous Extinction.” Proceedings of the Royal Society B: Biological Sciences 281 (1782): 20133280. https://doi.org/10.1098/rspb.2013.3280.
Dunne, Jennifer A., Richard J. Williams, Neo D. Martinez, Rachel A. Wood, and Douglas H. Erwin. 2008. “Compilation and Network Analyses of Cambrian Food Webs.” PLOS Biology 6 (4): e102. https://doi.org/10.1371/journal.pbio.0060102.
Dunne, Jennifer A., Richard J Williams, and Néo D Martinez. 2002. “Network Structure and Biodiversity Loss in Food Webs: Robustness Increases with Connectance.” Ecol. Lett. 5 (4): 558–67.
Eisenhauer, Nico, Huimin Yi, and Benjamin Wildermuth. 2026. “From Species Richness to Interaction Architecture.” Trends in Ecology & Evolution 0 (0). https://doi.org/10.1016/j.tree.2026.09.008.
Erdős, P., and A. Rényi. 1959. “On Random Graphs. i.” Publicationes Mathematicae Debrecen 6 (3-4): 290–97. https://doi.org/10.5486/pmd.1959.6.3-4.12.
Fricke, Evan C., Chia Hsieh, Owen Middleton, et al. 2022. “Collapse of Terrestrial Mammal Food Webs Since the Late Pleistocene.” Science 377 (6609): 1008–11. https://doi.org/10.1126/science.abn4012.
Fründ, Jochen, Kevin S. McCann, and Neal M. Williams. 2016. “Sampling Bias Is a Challenge for Quantifying Specialization and Network Structure: Lessons from a Quantitative Niche Model.” Oikos 125 (4): 502–13. https://doi.org/10.1111/oik.02256.
Gauzens, Benoit, Ulrich Brose, Eva Delmas, and Emilio Berti. 2023. “ATNr: Allometric Trophic Network Models in r.” Methods in Ecology and Evolution 14 (11): 2766–73. https://doi.org/10.1111/2041-210X.14212.
Gauzens, Benoit, Lise Thouvenot, Diane S. Srivastava, et al. 2025. “Tailoring Interaction Network Types to Answer Different Ecological Questions.” Nature Reviews Biodiversity, June 13, 1–10. https://doi.org/10.1038/s44358-025-00056-7.
Gilman, Sarah E., Mark C. Urban, Joshua Tewksbury, George W. Gilchrist, and Robert D. Holt. 2010. “A Framework for Community Interactions Under Climate Change.” Trends in Ecology & Evolution 25 (6): 325–31. https://doi.org/10.1016/j.tree.2010.03.002.
Gravel, Dominique, Benjamin Baiser, Jennifer A. Dunne, et al. 2019. “Bringing Elton and Grinnell Together: A Quantitative Framework to Represent the Biogeography of Ecological Interaction Networks.” Ecography 42 (3): 401–15. https://doi.org/https://doi.org/10.1111/ecog.04006.
Guimarães, Paulo R. 2020. “The Structure of Ecological Networks Across Levels of Organization.” Annual Review of Ecology, Evolution, and Systematics 51 (1). https://doi.org/10.1146/annurev-ecolsys-012220-120819.
Hao, Xiyang, Marcel Holyoak, Zhicheng Zhang, and Chuan Yan. 2025. “Global Projection of Terrestrial Vertebrate Food Webs Under Future Climate and Land-Use Changes.” Global Change Biology 31 (2): e70061. https://doi.org/10.1111/gcb.70061.
Jordano, Pedro. 2016. “Sampling Networks of Ecological Interactions.” Functional Ecology, ahead of print, September. https://doi.org/10.1111/1365-2435.12763.
Kemp, David B., Zhong Han, Xiumian Hu, et al. 2024. “Global Hydroclimate Perturbations During the Toarcian Oceanic Anoxic Event.” Earth-Science Reviews 258 (November): 104946. https://doi.org/10.1016/j.earscirev.2024.104946.
Little, Crispin T. S., and Michael J. Benton. 1995. “Early Jurassic Mass Extinction: A Global Long-Term Event.” Geology 23 (6): 495. https://doi.org/10.1130/0091-7613(1995)023<0495:ejmeag>2.3.co;2.
Marjakangas, Emma-Liina, Bo Dalsgaard, and Alejandro Ordonez. 2025. “Fundamental Interaction Niches: Towards a Functional Understanding of Ecological Networks’ Resilience.” Ecology Letters 28 (6): e70146. https://doi.org/10.1111/ele.70146.
Mestre, Frederico, and Vinicius Augusto Galvão Bastazini. 2026. “Metawebs as a Tool to Connect Ecology and Biogeography: A Critical Review.” Ecological Modelling 519 (September): 111674. https://doi.org/10.1016/j.ecolmodel.2026.111674.
Michalska-Smith, Matthew J., and Stefano Allesina. 2019. “Telling Ecological Networks Apart by Their Structure: A Computational Challenge.” PLOS Computational Biology 15 (6): e1007076. https://doi.org/10.1371/journal.pcbi.1007076.
Milo, R., S. Shen-Orr, S. Itzkovitz, N. Kashtan, D. Chklovskii, and U. Alon. 2002. “Network Motifs: Simple Building Blocks of Complex Networks.” Science 298 (5594): 824–27. https://doi.org/10.1126/science.298.5594.824.
Morales-Castilla, Ignacio, Miguel G. Matias, Dominique Gravel, and Miguel B. Araújo. 2015. “Inferring Biotic Interactions from Proxies.” Trends in Ecology & Evolution 30 (6): 347–56. https://doi.org/10.1016/j.tree.2015.03.014.
Pellissier, Loïc, Camille Albouy, Jordi Bascompte, et al. 2018. “Comparing Species Interaction Networks Along Environmental Gradients.” Biological Reviews 93 (2): 785–800. https://doi.org/10.1111/brv.12366.
Petchey, Owen L., Andrew P. Beckerman, Jens O. Riede, and Philip H. Warren. 2008. “Size, Foraging, and Food Web Structure.” Proceedings of the National Academy of Sciences 105 (11): 4191–96. https://doi.org/10.1073/pnas.0710672105.
Petchey, Owen L., Andrew P. Beckerman, Jens O. Riede, and Philip H. Warren. 2011. “Fit, Efficiency, and Biology: Some Thoughts on Judging Food Web Models.” Journal of Theoretical Biology 279 (1): 169–71. https://doi.org/10.1016/j.jtbi.2011.03.019.
Pichler, Maximilian, Virginie Boreux, Alexandra-Maria Klein, Matthias Schleuning, and Florian Hartig. 2019. “Machine Learning Algorithms to Infer Trait-Matching and Predict Species Interactions in Ecological Networks.” Methods in Ecology and Evolution 11 (2): 281–93. https://doi.org/10.1111/2041-210x.13329.
Poisot, Timothée, Gabriel Bergeron, Kevin Cazelles, et al. 2021. “Global Knowledge Gaps in Species Interaction Networks Data.” Journal of Biogeography, April 29, jbi.14127. https://doi.org/10.1111/jbi.14127.
Poisot, Timothée, Elsa Canard, David Mouillot, Nicolas Mouquet, and Dominique Gravel. 2012. “The Dissimilarity of Species Interaction Networks.” Ecology Letters 15 (12): 1353–61. https://doi.org/10.1111/ele.12002.
Poisot, Timothée, Alyssa Cirtwill, Kévin Cazelles, Dominique Gravel, Marie-Josée Fortin, and Daniel Stouffer. 2016. “The Structure of Probabilistic Networks.” Methods in Ecology and Evolution 7 (3): 303312. https://doi.org/10.
Poisot, Timothée, and Dominique Gravel. 2014. “When Is an Ecological Network Complex? Connectance Drives Degree Distribution and Emerging Network Properties.” PeerJ 2 (February): e251. https://doi.org/10.7717/peerj.251.
Poisot, Timothée, Daniel B. Stouffer, and Dominique Gravel. 2015. “Beyond Species: Why Ecological Interaction Networks Vary Through Space and Time.” Oikos 124 (3): 243–51. https://doi.org/10.1111/oik.01719.
R Core Team. 2024. R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing. https://www.R-project.org/.
Rohr, Rudolf Philippe, Heike Scherer, Patrik Kehrli, Christian Mazza, and Louis-Félix Bersier. 2010. “Modeling Food Webs: Exploring Unexplained Structure Using Latent Traits.” The American Naturalist 176 (2): 170–77. https://doi.org/10.1086/653667.
Roopnarine, Peter D. 2006. “Extinction Cascades and Catastrophe in Ancient Food Webs.” Paleobiology 32 (1): 1–19. https://www.jstor.org/stable/4096814.
Sandra, Hervías-Parejo, Anna Traveset, Manuel Nogales, Ruben Heleno, John Llewelyn, and Giovanni Strona. 2025. “Sampling Biases Across Interaction Types Affect the Robustness of Ecological Multilayer Networks.” Ecological Informatics, May 2, 103183. https://doi.org/10.1016/j.ecoinf.2025.103183.
Schneider, Florian D., Ulrich Brose, Björn C. Rall, and Christian Guill. 2016. “Animal Diversity and Ecosystem Functioning in Dynamic Food Webs.” Nature Communications 7 (1): 12718. https://doi.org/10.1038/ncomms12718.
Shaw, Jack O., Alexander M. Dunhill, Andrew P. Beckerman, Jennifer A. Dunne, and Pincelli M. Hull. 2024. A Framework for Reconstructing Ancient Food Webs Using Functional Trait Data. bioRxiv. https://doi.org/10.1101/2024.01.30.578036.
Smith, Quentin A., Catalina P. Tomé, William Gearty, Felisa A. Smith, Daizaburo Shizuka, and S. Kathleen Lyons. 2025. “Consequences of the Megafauna Extinction: Changes in Food Web Networks on the Edwards Plateau Across the Pleistoceneholocene Transition.” Global Ecology and Biogeography 34 (12): e70113. https://doi.org/10.1111/geb.70113.
Stouffer, Daniel B. 2019. “All Ecological Models Are Wrong, but Some Are Useful.” Journal of Animal Ecology 88 (2): 192–95. https://doi.org/https://doi.org/10.1111/1365-2656.12949.
Strydom, Tanya, Michael D. Catchen, Francis Banville, et al. 2021a. “A Roadmap Towards Predicting Species Interaction Networks (Across Space and Time).” Philosophical Transactions of the Royal Society B: Biological Sciences 376 (1837): 20210063. https://doi.org/10.1098/rstb.2021.0063.
Strydom, Tanya, Michael D. Catchen, Francis Banville, et al. 2021b. “A Roadmap Towards Predicting Species Interaction Networks (Across Space and Time).” Philosophical Transactions of the Royal Society B: Biological Sciences 376 (1837): 20210063. https://doi.org/10.1098/rstb.2021.0063.
Strydom, Tanya, Alexander M. Dunhill, Jennifer A. Dunne, Timothée Poisot, and Andrew P. Beckerman. 2026. “From Metawebs to Realised Webs: A Framework for Ecological Network Representation Under Global Change.” EcoEvoRxiv, ahead of print, January 21. https://doi.org/10.32942/X2JW8K.
Thuiller, Wilfried, Irene Calderón-Sanou, Loïc Chalmandrier, et al. 2024. “Navigating the Integration of Biotic Interactions in Biogeography.” Journal of Biogeography 51 (4): 550–59. https://doi.org/10.1111/jbi.14734.
Trøjelsgaard, Kristian, and Jens M. Olesen. 2016. “Ecological Networks in Motion: Micro- and Macroscopic Variability Across Scales.” Functional Ecology 30 (12): 1926–35. https://doi.org/https://doi.org/10.1111/1365-2435.12710.
Tylianakis, Jason M., Raphael K. Didham, Jordi Bascompte, and David A. Wardle. 2008. “Global Change and Species Interactions in Terrestrial Ecosystems.” Ecology Letters 11 (12): 1351–63. https://doi.org/10.1111/j.1461-0248.2008.01250.x.
Tylianakis, Jason M., and Rebecca J. Morris. 2017. “Ecological Networks Across Environmental Gradients.” Annual Review of Ecology, Evolution, and Systematics 48 (1): 25–48. https://doi.org/10.1146/annurev-ecolsys-110316-022821.
Williams, R. J., and N. D. Martinez. 2004. “Stabilization of Chaotic and Non-Permanent Food-Web Dynamics.” The European Physical Journal B - Condensed Matter 38 (2): 297–303. https://doi.org/10.1140/epjb/e2004-00122-1.
Williams, Richard J., and Neo D. Martinez. 2000. “Simple Rules Yield Complex Food Webs.” Nature 404 (6774): 180–83. https://doi.org/10.1038/35004572.
Williams, Richard J., and Neo D. Martinez. 2008. “Success and its limits among structural models of complex food webs.” The Journal of Animal Ecology 77 (3): 512–19. https://doi.org/10.1111/j.1365-2656.2008.01362.x.
Wootton, Kate L., Alva Curtsdotter, Tomas Roslin, Riccardo Bommarco, and Tomas Jonsson. 2021. “Towards a Modular Theory of Trophic Interactions.” Functional Ecology 37 (1): 26–43. https://doi.org/10.1111/1365-2435.13954.
Yeakel, Justin D., Mathias M. Pires, Lars Rudolf, et al. 2014. “Collapse of an Ecological Network in Ancient Egypt.” PNAS 111 (40): 14472–77. https://doi.org/10.1073/pnas.1408471111.