Gardner, M. R. & Ashby, W. R. Connectance of large dynamic (cybernetic) systems: Critical values for stability. Nature 228, 784 (1970).
Google Scholar
May, R. M. Will a large complex system be stable?. Nature 238, 413–414 (1972).
Google Scholar
McCann, K. S. The diversity-stability debate. Nature 405, 228–233 (2000).
Google Scholar
Dunne, J. A. The network structure of food webs. in Ecological Networks: Linking Structure to Dynamics in Food Webs 27–86 (2006).
Williams, R. J., Brose, U. & Martinez, N. D. Homage to Yodzis and Innes 1992: Scaling up feeding-based population dynamics to complex ecological networks. in From Energetics to Ecosystems: The Dynamics and Structure of Ecological Systems. 37–51 (Springer, 2007).
Gross, T., Rudolf, L., Levin, S. A. & Dieckmann, U. Generalized models reveal stabilizing factors in food webs. Science 325, 747–750 (2009).
Google Scholar
Fahimipour, A. K., Anderson, K. E. & Williams, R. J. Compensation masks trophic cascades in complex food webs. Theor. Ecol. 10, 245–253 (2017).
Google Scholar
Rooney, N. & McCann, K. S. Integrating food web diversity, structure and stability. Trends Ecol. Evolut. 27, 40–46 (2012).
Google Scholar
Jacquet, C. et al. No complexity-stability relationship in empirical ecosystems. Nat. Commun. 7, 12573 (2016).
Google Scholar
Brose, U., Williams, R. J. & Martinez, N. D. Allometric scaling enhances stability in complex food webs. Ecol. Lett. 9, 1228–1236 (2006).
Google Scholar
Martinez, N. D. Allometric trophic networks from individuals to socio-ecosystems: Consumer-resource theory of the ecological elephant in the room. Front. Ecol. Evolut. 8, 92 (2020).
Google Scholar
Segel, L. A. & Levin, S. A. Application of nonlinear stability theory to the study of the effects of diffusion on predator-prey interactions. in AIP Conference Proceedings, Vol. 27, 123–152 (American Institute of Physics, 1976).
Durrett, R. & Levin, S. The importance of being discrete (and spatial). Theor. Popul. Biol. 46, 363–394 (1994).
Google Scholar
McCann, K. S., Rasmussen, J. & Umbanhowar, J. The dynamics of spatially coupled food webs. Ecol. Lett. 8, 513–523 (2005).
Google Scholar
Fahimipour, A. K. & Hein, A. M. The dynamics of assembling food webs. Ecol. Lett. 17, 606–613 (2014).
Google Scholar
Brechtel, A., Gramlich, P., Ritterskamp, D., Drossel, B. & Gross, T. Master stability functions reveal diffusion-driven pattern formation in networks. Phys. Rev. E 97, 032307 (2018).
Google Scholar
Brechtel, A., Gross, T. & Drossel, B. Far-ranging generalist top predators enhance the stability of meta-foodwebs. Sci. Rep. 9, 1–15 (2019).
Google Scholar
Gross, T. & et. al. Modern models of trophic meta-communities. Phil. Trans. R. Soc. B (in press).
Rooney, N., McCann, K., Gellner, G. & Moore, J. C. Structural asymmetry and the stability of diverse food webs. Nature 442, 265–269 (2006).
Google Scholar
Otto, S. B., Rall, B. C. & Brose, U. Allometric degree distributions facilitate food-web stability. Nature 450, 1226–1229 (2007).
Google Scholar
Williams, R. J. & Martinez, N. D. Simple rules yield complex food webs. Nature 404, 180–183 (2000).
Google Scholar
Cohen, J. E., Pimm, S. L., Yodzis, P. & Saldaña, J. Body sizes of animal predators and animal prey in food webs. J. Anim. Ecol. 67–78 (1993).
Petchey, O. L., Beckerman, A. P., Riede, J. O. & Warren, P. H. Size, foraging, and food web structure. Proc. Natl. Acad. Sci. 105, 4191–4196 (2008).
Google Scholar
Cohen, J. E., Briand, F. & Newman, C. M. Community Food Webs: Data and Theory Vol. 20 (Springer, 2012).
Google Scholar
Elton, C. S. Animal Ecology (University of Chicago Press, 2001).
Lindeman, R. L. The trophic-dynamic aspect of ecology. Ecology 23, 399–417 (1942).
Google Scholar
Peters, R. H. & Peters, R. H. The Ecological Implications of Body Size Vol. 2 (Cambridge University Press, 1986).
Riede, J. O. et al. Stepping in Elton’s footprints: A general scaling model for body masses and trophic levels across ecosystems. Ecol. Lett. 14, 169–178 (2011).
Kalinkat, G. et al. Body masses, functional responses and predator-prey stability. Ecology letters 16, 1126–1134 (2013).
Google Scholar
Costa-Pereira, R., Araújo, M. S., Olivier, R. d. S., Souza, F. L. & Rudolf, V. H. Prey limitation drives variation in allometric scaling of predator-prey interactions. Am. Nat. 192, E139–E149 (2018).
Guzman, L. M. & Srivastava, D. S. Prey body mass and richness underlie the persistence of a top predator. Proc. R. Soc. B 286, 20190622 (2019).
Google Scholar
Brose, U. et al. Consumer-resource body-size relationships in natural food webs. Ecology 87, 2411–2417 (2006).
Google Scholar
Barnes, C., Maxwell, D., Reuman, D. C. & Jennings, S. Global patterns in predator-prey size relationships reveal size dependency of trophic transfer efficiency. Ecology 91, 222–232 (2010).
Google Scholar
Potapov, A. M., Brose, U., Scheu, S. & Tiunov, A. V. Trophic position of consumers and size structure of food webs across aquatic and terrestrial ecosystems. Am. Nat. 194, 823–839 (2019).
Google Scholar
MacArthur, R. H. & Wilson, E. O. The Theory of Island Biogeography Vol. 1 (Princeton University Press, 2001).
Google Scholar
Simberloff, D. S. & Wilson, E. O. Experimental zoogeography of islands: the colonization of empty islands. Ecology 50, 278–296 (1969).
Google Scholar
Brown, J. H. & Kodric-Brown, A. Turnover rates in insular biogeography: effect of immigration on extinction. Ecology 58, 445–449 (1977).
Google Scholar
Levins, R. Some demographic and genetic consequences of environmental heterogeneity for biological control. Am. Entomol. 15, 237–240 (1969).
Gotelli, N. J. Metapopulation models: The rescue effect, the propagule rain, and the core-satellite hypothesis. Am. Nat. 138, 768–776 (1991).
Google Scholar
Crowley, P. H. Dispersal and the stability of predator-prey interactions. Am. Nat. 118, 673–701 (1981).
Google Scholar
Reeve, J. D. Environmental variability, migration, and persistence in host-parasitoid systems. Am. Nat. 132, 810–836 (1988).
Google Scholar
Murdoch, W. W. Population regulation in theory and practice. Ecology 75, 271–287 (1994).
Google Scholar
Briggs, C. J. & Hoopes, M. F. Stabilizing effects in spatial parasitoid-host and predator-prey models: A review. Theor. Popul. Biol. 65, 299–315 (2004).
Google Scholar
Gravel, D., Massol, F. & Leibold, M. A. Stability and complexity in model meta-ecosystems. Nat. Commun. 7, 1–8 (2016).
Google Scholar
Mougi, A. & Kondoh, M. Food-web complexity, meta-community complexity and community stability. Sci. Rep. 6, 24478 (2016).
Google Scholar
Domenici, P. The scaling of locomotor performance in predator-prey encounters: from fish to killer whales. Comp. Biochem. Physiol. Part A Mol. Integr. Physiol. 131, 169–182 (2001).
Google Scholar
Hirt, M. R., Lauermann, T., Brose, U., Noldus, L. P. & Dell, A. I. The little things that run: a general scaling of invertebrate exploratory speed with body mass. Ecology 98, 2751–2757 (2017).
Google Scholar
Hirt, M. R., Jetz, W., Rall, B. C. & Brose, U. A general scaling law reveals why the largest animals are not the fastest. Nat. Ecol. Evolut. 1, 1116–1122 (2017).
Google Scholar
Cloyed, C. S., Grady, J. M., Savage, V. M., Uyeda, J. C. & Dell, A. I. The allometry of locomotion. Ecology e03369 (2021).
Reiss, M. Scaling of home range size: Body size, metabolic needs and ecology. Trends Ecol. Evolut. 3, 85–86 (1988).
Google Scholar
Minns, C. K. Allometry of home range size in lake and river fishes. Can. J. Fish. Aquat. Sci. 52, 1499–1508 (1995).
Google Scholar
Jetz, W., Carbone, C., Fulford, J. & Brown, J. H. The scaling of animal space use. Science 306, 266–268 (2004).
Google Scholar
Hendriks, A. J., Willers, B. J., Lenders, H. R. & Leuven, R. S. Towards a coherent allometric framework for individual home ranges, key population patches and geographic ranges. Ecography 32, 929–942 (2009).
Google Scholar
Hein, A. M., Hou, C. & Gillooly, J. F. Energetic and biomechanical constraints on animal migration distance. Ecol. Lett. 15, 104–110 (2012).
Google Scholar
Hartfelder, J. et al. The allometry of movement predicts the connectivity of communities. Proc. Natl. Acad. Sci. 117, 22274–22280 (2020).
Google Scholar
Vander Zanden, M. J. & Vadeboncoeur, Y. Fishes as integrators of benthic and pelagic food webs in lakes. Ecology 83, 2152–2161 (2002).
Google Scholar
Wolkovich, E. M. et al. Linking the green and brown worlds: The prevalence and effect of multichannel feeding in food webs. Ecology 95, 3376–3386 (2014).
Google Scholar
Lomolino, M. V. Immigrant selection, predation, and the distributions of Microtus pennsylvanicus and Blarina brevicauda on islands. Am. Nat. 123, 468–483 (1984).
Google Scholar
Beisner, B. E., Peres-Neto, P. R., Lindström, E. S., Barnett, A. & Longhi, M. L. The role of environmental and spatial processes in structuring lake communities from bacteria to fish. Ecology 87, 2985–2991 (2006).
Google Scholar
De Bie, T. et al. Body size and dispersal mode as key traits determining metacommunity structure of aquatic organisms. Ecol. Lett. 15, 740–747 (2012).
Google Scholar
Kareiva, P. Population dynamics in spatially complex environments: Theory and data. Philos. Trans. R. Soc. Lond. Ser. B: Biol. Sci. 330, 175–190 (1990).
Google Scholar
Murray, J. Mathematical Biology II: Spatial Models and Biomedical Applications Vol. 3 (Springer, 2001).
Rietkerk, M. & Van de Koppel, J. Regular pattern formation in real ecosystems. Trends Ecol. Evolut. 23, 169–175 (2008).
Google Scholar
Pedersen, E. J., Marleau, J. N., Granados, M., Moeller, H. V. & Guichard, F. Nonhierarchical dispersal promotes stability and resilience in a tritrophic metacommunity. Am. Nat. 187, E116–E128 (2016).
Google Scholar
Haegeman, B. & Loreau, M. General relationships between consumer dispersal, resource dispersal and metacommunity diversity. Ecol. Lett. 17, 175–184 (2014).
Google Scholar
Amarasekare, P. Spatial dynamics of foodwebs. Annu. Rev. Ecol. Evol. Syst. 39, 479–500 (2008).
Google Scholar
Fronhofer, E. A., Klecka, J., Melián, C. J. & Altermatt, F. Condition-dependent movement and dispersal in experimental metacommunities. Ecol. Lett. 18, 954–963 (2015).
Google Scholar
Toscano, B. J., Gownaris, N. J., Heerhartz, S. M. & Monaco, C. J. Personality, foraging behavior and specialization: integrating behavioral and food web ecology at the individual level. Oecologia 182, 55–69 (2016).
Google Scholar
Fronhofer, E. A. et al. Bottom-up and top-down control of dispersal across major organismal groups. Nat. Ecol. Evolut. 2, 1859–1863 (2018).
Google Scholar
Gross, T. & Feudel, U. Generalized models as a universal approach to the analysis of nonlinear dynamical systems. Phys. Rev. E 73, 016205 (2006).
Google Scholar
Yeakel, J. D., Stiefs, D., Novak, M. & Gross, T. Generalized modeling of ecological population dynamics. Theor. Ecol. 4, 179–194 (2011).
Google Scholar
Hirt, M. R. et al. Bridging scales: Allometric random walks link movement and biodiversity research. Trends Ecol. Evolut. 33, 701–712 (2018).
Google Scholar
Othmer, H. G. & Scriven, L. Non-linear aspects of dynamic pattern in cellular networks. J. Theor. Biol. 43, 83–112 (1974).
Google Scholar
Estes, J. A. et al. Trophic downgrading of planet earth. Science 333, 301–306 (2011).
Google Scholar
Krause, A. E., Frank, K. A., Mason, D. M., Ulanowicz, R. E. & Taylor, W. W. Compartments revealed in food-web structure. Nature 426, 282–285 (2003).
Google Scholar
Post, D. M., Conners, M. E. & Goldberg, D. S. Prey preference by a top predator and the stability of linked food chains. Ecology 81, 8–14 (2000).
Google Scholar
Neutel, A.-M., Heesterbeek, J. A. & de Ruiter, P. C. Stability in real food webs: Weak links in long loops. Science 296, 1120–1123 (2002).
Google Scholar
Leibold, M. A. et al. The metacommunity concept: A framework for multi-scale community ecology. Ecol. Lett. 7, 601–613 (2004).
Google Scholar
Brown, J. H., Gillooly, J. F., Allen, A. P., Savage, V. M. & West, G. B. Toward a metabolic theory of ecology. Ecology 85, 1771–1789 (2004).
Google Scholar
Jenkins, D. G. et al. Does size matter for dispersal distance?. Glob. Ecol. Biogeogr. 16, 415–425 (2007).
Google Scholar
Stevens, V. M. et al. A comparative analysis of dispersal syndromes in terrestrial and semi-terrestrial animals. Ecol. Lett. 17, 1039–1052 (2014).
Google Scholar
Guzman, L. M. & Srivastava, D. S. Genomic variation among populations provides insight into the causes of metacommunity survival. Ecology 101, e03182 (2020).
Google Scholar
Leitch, K. J., Ponce, F. V., Dickson, W. B., van Breugel, F. & Dickinson, M. H. The long-distance flight behavior of drosophila supports an agent-based model for wind-assisted dispersal in insects. Proc. Natl. Acad. Sci. 118 (2021).
Bowman, J., Jaeger, J. A. & Fahrig, L. Dispersal distance of mammals is proportional to home range size. Ecology 83, 2049–2055 (2002).
Google Scholar
Shanks, A. L., Grantham, B. A. & Carr, M. H. Propagule dispersal distance and the size and spacing of marine reserves. Ecol. Appl. 13, 159–169 (2003).
Google Scholar
Kartascheff, B., Heckmann, L., Drossel, B. & Guill, C. Why allometric scaling enhances stability in food web models. Theor. Ecol. 3, 195–208 (2010).
Google Scholar
Hudson, L. N. & Reuman, D. C. A cure for the plague of parameters: Constraining models of complex population dynamics with allometries. Proc. R. Soc. B: Biol. Sci. 280, 20131901 (2013).
Google Scholar
Brose, U. et al. Predator traits determine food-web architecture across ecosystems. Nat. Ecol. Evolut. 3, 919–927 (2019).
Google Scholar
Heino, J. et al. Metacommunity organisation, spatial extent and dispersal in aquatic systems: patterns, processes and prospects. Freshw. Biol. 60, 845–869 (2015).
Google Scholar
Siegel, D. et al. The stochastic nature of larval connectivity among nearshore marine populations. Proc. Natl. Acad. Sci. 105, 8974–8979 (2008).
Google Scholar
Pillai, P., Loreau, M. & Gonzalez, A. A patch-dynamic framework for food web metacommunities. Theor. Ecol. 3, 223–237 (2010).
Google Scholar
Pillai, P., Gonzalez, A. & Loreau, M. Metacommunity theory explains the emergence of food web complexity. Proc. Natl. Acad. Sci. 108, 19293–19298 (2011).
Google Scholar
Plitzko, S. J. & Drossel, B. The effect of dispersal between patches on the stability of large trophic food webs. Theor. Ecol. 8, 233–244 (2015).
Google Scholar
Guichard, F. Recent advances in metacommunities and meta-ecosystem theories. F1000Research 6 (2017).
Hata, S., Nakao, H. & Mikhailov, A. S. Dispersal-induced destabilization of metapopulations and oscillatory turing patterns in ecological networks. Sci. Rep. 4, 3585 (2014).
Google Scholar
White, K. & Gilligan, C. Spatial heterogeneity in three species, plant-parasite-hyperparasite, systems. Philos. Trans. R. Soc. Lond. Ser. B: Biol. Sci. 353, 543–557 (1998).
Google Scholar
Gibert, J. P. & Yeakel, J. D. Laplacian matrices and turing bifurcations: Revisiting levin 1974 and the consequences of spatial structure and movement for ecological dynamics. Theor. Ecol. 12, 265–281 (2019).
Google Scholar
Fox, J. W., Vasseur, D., Cotroneo, M., Guan, L. & Simon, F. Population extinctions can increase metapopulation persistence. Nat. Ecol. Evolut. 1, 1271–1278 (2017).
Google Scholar
Hastings, A. Food web theory and stability. Ecology 69, 1665–1668 (1988).
Google Scholar
Anderson, H., Hutson, V. & Law, R. On the conditions for permanence of species in ecological communities. Am. Nat. 139, 663–668 (1992).
Google Scholar
Haydon, D. Pivotal assumptions determining the relationship between stability and complexity: An analytical synthesis of the stability-complexity debate. Am. Nat. 144, 14–29 (1994).
Google Scholar
Chen, X. & Cohen, J. E. Global stability, local stability and permanence in model food webs. J. Theor. Biol. 212, 223–235 (2001).
Google Scholar
Bjørnstad, O. N., Ims, R. A. & Lambin, X. Spatial population dynamics: Analyzing patterns and processes of population synchrony. Trends Ecol. Evolut. 14, 427–432 (1999).
Google Scholar
Ims, R. A. & Andreassen, H. P. Spatial synchronization of vole population dynamics by predatory birds. Nature 408, 194–196 (2000).
Google Scholar
Sundell, J. et al. Large-scale spatial dynamics of vole populations in Finland revealed by the breeding success of vole-eating avian predators. J. Anim. Ecol. 73, 167–178 (2004).
Google Scholar
Ripple, W. J. et al. Status and ecological effects of the world’s largest carnivores. Science 343 (2014).
McCauley, D. J. et al. Marine defaunation: Animal loss in the global ocean. Science 347 (2015).
Parsons, T. The removal of marine predators by fisheries and the impact of trophic structure. Mar. Pollut. Bull. 25, 51–53 (1992).
Google Scholar
Baum, J. K. & Worm, B. Cascading top-down effects of changing oceanic predator abundances. J. Anim. Ecol. 78, 699–714 (2009).
Google Scholar
Albert, C. H., Rayfield, B., Dumitru, M. & Gonzalez, A. Applying network theory to prioritize multispecies habitat networks that are robust to climate and land-use change. Conserv. Biol. 31, 1383–1396 (2017).
Google Scholar
Schiesari, L. et al. Towards an applied metaecology. Perspect. Ecol. Conserv. 17, 172–181 (2019).
Vermaat, J. E., Dunne, J. A. & Gilbert, A. J. Major dimensions in food-web structure properties. Ecology 90, 278–282 (2009).
Google Scholar
White, J. W., Rassweiler, A., Samhouri, J. F., Stier, A. C. & White, C. Ecologists should not use statistical significance tests to interpret simulation model results. Oikos 123, 385–388 (2014).
Google Scholar
R Core Team. R: A Language and Environment for Statistical Computing. https://www.R-project.org/. (R Foundation for Statistical Computing, 2020).
Aufderheide, H., Rudolf, L., Gross, T. & Lafferty, K. D. How to predict community responses to perturbations in the face of imperfect knowledge and network complexity. Proc. R. Soc. B Biol. Sci. 280, 20132355 (2013).
Google Scholar
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