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Seno H. Persistent prey species in the Lotka-Volterra apparent competition system with a single shared predator. J Math Biol 2025; 90:19. [PMID: 39847103 PMCID: PMC11758177 DOI: 10.1007/s00285-025-02184-2] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/05/2024] [Revised: 12/18/2024] [Accepted: 01/09/2025] [Indexed: 01/24/2025]
Abstract
We analyze the Lotka-Volterra n prey-1 predator system with no direct interspecific interaction between prey species, in which every prey species undergoes the effect of apparent competition via a single shared predator with all other prey species. We prove that the considered system necessarily has a globally asymptotically stable equilibrium, and we find the necessary and sufficient condition to determine which of feasible equilibria becomes asymptotically stable. Such an asymptotically stable equilibrium shows which prey species goes extinct or persists, and we investigate the composition of persistent prey species at the equilibrium apparent competition system. Making use of the results, we discuss the transition of apparent competition system with a persistent single shared predator through the extermination and invasion of prey species. Our results imply that the long-lasting apparent competition system with a persistent single shared predator would tend toward an implicit functional homogenization in coexisting prey species, or would transfer to a 1 prey-1 predator system in which the predator must be observed as a specialist (monophagy).
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Affiliation(s)
- Hiromi Seno
- Department of Computer and Mathematical Sciences, Research Center for Pure and Applied Mathematics, Graduate School of Information Sciences, Tohoku University, Aramaki-Aza-Aoba 6-3-09, Aoba-ku, Sendai, Miyagi, 980-8579, Japan.
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Gauzens B, Rosenbaum B, Kalinkat G, Boy T, Jochum M, Kortsch S, O’Gorman EJ, Brose U. Flexible foraging behaviour increases predator vulnerability to climate change. NATURE CLIMATE CHANGE 2024; 14:387-392. [PMID: 38617202 PMCID: PMC11006620 DOI: 10.1038/s41558-024-01946-y] [Citation(s) in RCA: 3] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 11/11/2022] [Accepted: 02/01/2024] [Indexed: 04/16/2024]
Abstract
Higher temperatures are expected to reduce species coexistence by increasing energetic demands. However, flexible foraging behaviour could balance this effect by allowing predators to target specific prey species to maximize their energy intake, according to principles of optimal foraging theory. Here we test these assumptions using a large dataset comprising 2,487 stomach contents from six fish species with different feeding strategies, sampled across environments with varying prey availability over 12 years in Kiel Bay (Baltic Sea). Our results show that foraging shifts from trait- to density-dependent prey selectivity in warmer and more productive environments. This behavioural change leads to lower consumption efficiency at higher temperature as fish select more abundant but less energetically rewarding prey, thereby undermining species persistence and biodiversity. By integrating this behaviour into dynamic food web models, our study reveals that flexible foraging leads to lower species coexistence and biodiversity in communities under global warming.
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Affiliation(s)
- Benoit Gauzens
- EcoNetLab, German Centre for Integrative Biodiversity Research (iDiv) Halle-Jena-Leipzig, Leipzig, Germany
- Institute of Biodiversity, Friedrich Schiller University Jena, Jena, Germany
| | - Benjamin Rosenbaum
- EcoNetLab, German Centre for Integrative Biodiversity Research (iDiv) Halle-Jena-Leipzig, Leipzig, Germany
- Institute of Biodiversity, Friedrich Schiller University Jena, Jena, Germany
| | - Gregor Kalinkat
- Department of Community and Ecosystem Ecology, Leibniz Institute of Freshwater Ecology and Inland Fisheries, Berlin, Germany
| | - Thomas Boy
- EcoNetLab, German Centre for Integrative Biodiversity Research (iDiv) Halle-Jena-Leipzig, Leipzig, Germany
- Institute of Biodiversity, Friedrich Schiller University Jena, Jena, Germany
| | - Malte Jochum
- Experimental Interaction Ecology, German Centre for Integrative Biodiversity Research (iDiv) Halle‐Jena‐Leipzig, Leipzig, Germany
- Institute of Biology, Leipzig University, Leipzig, Germany
- Department of Global Change Ecology, Biocenter, University of Würzburg, Würzburg, Germany
| | - Susanne Kortsch
- Tvärminne Zoological Station, University of Helsinki, Hanko, Finland
| | - Eoin J. O’Gorman
- School of Life Sciences, University of Essex, Wivenhoe Park, Colchester, UK
| | - Ulrich Brose
- EcoNetLab, German Centre for Integrative Biodiversity Research (iDiv) Halle-Jena-Leipzig, Leipzig, Germany
- Institute of Biodiversity, Friedrich Schiller University Jena, Jena, Germany
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Fonseca MM, Pallini A, Marques PH, Lima E, Janssen A. Compatibility of two predator species for biological control of the two-spotted spider mite. EXPERIMENTAL & APPLIED ACAROLOGY 2020; 80:409-422. [PMID: 32030606 DOI: 10.1007/s10493-020-00472-8] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/22/2019] [Accepted: 12/09/2019] [Indexed: 06/10/2023]
Abstract
Because predators may interfere with each other, an important step towards the implementation of successful release of multiple predators in biocontrol programs requires resolving how predators respond to the presence of heterospecific competitors. Several species of predatory mites are important biocontrol agents and the species Phytoseiulus macropilis and Neoseiulus californicus are used to control the two-spotted spider mite, Tetranychus urticae, an important pest in agriculture worldwide. We investigated their compatibility showing that the two predators do not avoid plants on which the other species is present together with their common prey, and demonstrated that their oviposition rates are not affected by the presence of the other species. However, the distribution of the eggs on leaf discs was affected by the presence of the heterospecific predator. This behaviour might weaken possible interference between these two biocontrol agents, which, in turn, may enable their persistence on plants and favour pest suppression. The increased joint use of several natural enemies for biological control highlights the importance of studies on predator-predator interactions.
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Affiliation(s)
- Morgana Maria Fonseca
- Department of Entomology, Federal University of Viçosa, Viçosa, Minas Gerais, Brazil
| | - Angelo Pallini
- Department of Entomology, Federal University of Viçosa, Viçosa, Minas Gerais, Brazil
| | - Pedro Hermano Marques
- Department of Entomology, Federal University of Viçosa, Viçosa, Minas Gerais, Brazil
| | - Eraldo Lima
- Department of Entomology, Federal University of Viçosa, Viçosa, Minas Gerais, Brazil
| | - Arne Janssen
- Department of Entomology, Federal University of Viçosa, Viçosa, Minas Gerais, Brazil.
- Evolutionary and Population Biology, IBED, University of Amsterdam, Science Park 904, 1098 XH, Amsterdam, The Netherlands.
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Selective Foraging on Ants by a Terrestrial Polymorphic Salamander. AMERICAN MIDLAND NATURALIST 2015. [DOI: 10.1674/0003-0031-174.2.265] [Citation(s) in RCA: 21] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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Abrams PA. Why ratio dependence is (still) a bad model of predation. Biol Rev Camb Philos Soc 2014; 90:794-814. [DOI: 10.1111/brv.12134] [Citation(s) in RCA: 43] [Impact Index Per Article: 3.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/06/2014] [Revised: 06/29/2014] [Accepted: 07/02/2014] [Indexed: 11/28/2022]
Affiliation(s)
- Peter A. Abrams
- Department of Ecology and Evolutionary Biology; University of Toronto; 25 Harbord St. Toronto Ontario M5S 3G5 Canada
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Peacor SD, Pangle KL, Schiesari L, Werner EE. Scaling-up anti-predator phenotypic responses of prey: impacts over multiple generations in a complex aquatic community. Proc Biol Sci 2011; 279:122-8. [PMID: 21593036 DOI: 10.1098/rspb.2011.0606] [Citation(s) in RCA: 34] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022] Open
Abstract
Non-consumptive effects (NCEs) of predators owing to induced changes in prey traits are predicted to influence the structure of ecological communities. However, evidence of the importance of NCEs is limited primarily to simple systems (e.g. two to four species) over relatively short periods (e.g. less than one generation). We examined the NCEs of a fish predator, arising from phenotypic plasticity in zooplankton prey traits, over multiple generations of a diverse zooplankton community. The presence of fish, caged to remove consumptive effects, strongly influenced zooplankton community structure, through both direct and indirect NCE pathways, altering the abundance of many taxa by magnitudes as large as 3 to 10-fold. Presence of fish affected different species of cladocerans and copepods both positively and negatively. A particularly striking result was the reversal of dominance in copepod taxa: presence of fish reduced the ratio of calanoids to cyclopoids from 6.3 to 0.43. Further, the NCE of fish had a strong negative trophic cascade to zooplankton resources (phytoplankton). To our knowledge, this is the first experiment to show that NCEs can influence the abundance of multiple prey species over time spans of multiple prey generations. Our findings demonstrate that adaptive phenotypic plasticity of individuals can scale-up to affect the structure of ecological communities.
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Affiliation(s)
- Scott D Peacor
- Department of Fisheries and Wildlife, Michigan State University, East Lansing, MI 48824, USA.
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Beckerman AP, Petchey OL, Warren PH. Foraging biology predicts food web complexity. Proc Natl Acad Sci U S A 2006; 103:13745-9. [PMID: 16954193 PMCID: PMC1560085 DOI: 10.1073/pnas.0603039103] [Citation(s) in RCA: 149] [Impact Index Per Article: 7.8] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022] Open
Abstract
Food webs, the networks of feeding links between species, are central to our understanding of ecosystem structure, stability, and function. One of the key aspects of food web structure is complexity, or connectance, the number of links expressed as a proportion of the total possible number of links. Connectance (complexity) is linked to the stability of webs and is a key parameter in recent models of other aspects of web structure. However, there is still no fundamental biological explanation for connectance in food webs. Here, we propose that constraints on diet breadth, driven by optimal foraging, provide such an explanation. We show that a simple diet breadth model predicts highly constrained values of connectance as an emergent consequence of individual foraging behavior. When combined with features of real food web data, such as taxonomic and trophic aggregation and cumulative sampling of diets, the model predicts well the levels of connectance and scaling of connectance with species richness, seen in real food webs. This result is a previously undescribed synthesis of foraging theory and food web theory, in which network properties emerge from the behavior of individuals and, as such, provides a mechanistic explanation of connectance currently lacking in food web models.
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Affiliation(s)
- Andrew P Beckerman
- Department of Animal and Plant Sciences, University of Sheffield, Western Bank, Sheffield S10 2TN, United Kingdom.
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Abstract
Ecological theory suggests that complex food webs should not persist because of their inherent instability. "Real" ecosystems often support a large number of interacting species. A mathematical model shows that fluctuating short-term selection on trophic links, arising from a consumer's adaptive food choice, is a key to the long-term stability of complex communities. Without adaptive foragers, food-web complexity destabilizes community composition; whereas in their presence, complexity may enhance community persistence through facilitation of dynamical food-web reconstruction that buffers environmental fluctuations. The model predicts a linkage pattern consistent with field observations.
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Affiliation(s)
- Michio Kondoh
- Center for Ecological Research, Kyoto University, Kamitanakami, Otsu 520-2113, Japan.
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Nakano S, Kawaguchi Y, Taniguchi Y, Miyasaka H, Shibata Y, Urabe H, Kuhara N. Selective foraging on terrestrial invertebrates by rainbow trout in a forested headwater stream in northern Japan. Ecol Res 2001. [DOI: 10.1046/j.1440-1703.1999.00315.x] [Citation(s) in RCA: 93] [Impact Index Per Article: 3.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/20/2022]
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Leibold MA, Chase JM, Shurin, and JB, Downing AL. SPECIES TURNOVER AND THE REGULATION OF TROPHIC STRUCTURE. ACTA ACUST UNITED AC 1997. [DOI: 10.1146/annurev.ecolsys.28.1.467] [Citation(s) in RCA: 253] [Impact Index Per Article: 9.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
Affiliation(s)
- Mathew A. Leibold
- Department of Ecology and Evolution, University of Chicago, Chicago, Illinois 60637; e-mail:
| | - Jonathan M. Chase
- Department of Ecology and Evolution, University of Chicago, Chicago, Illinois 60637; e-mail:
| | - Jonathan B. Shurin, and
- Department of Ecology and Evolution, University of Chicago, Chicago, Illinois 60637; e-mail:
| | - Amy L. Downing
- Department of Ecology and Evolution, University of Chicago, Chicago, Illinois 60637; e-mail:
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Beckerman AP, Uriarte M, Schmitz OJ. Experimental evidence for a behavior-mediated trophic cascade in a terrestrial food chain. Proc Natl Acad Sci U S A 1997; 94:10735-8. [PMID: 11038581 PMCID: PMC23467 DOI: 10.1073/pnas.94.20.10735] [Citation(s) in RCA: 200] [Impact Index Per Article: 7.1] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022] Open
Abstract
Predators of herbivorous animals can affect plant populations by altering herbivore density, behavior, or both. To test whether the indirect effect of predators on plants arises from density or behavioral responses in a herbivore population, we experimentally examined the dynamics of terrestrial food chains comprised of old field plants, leaf-chewing grasshoppers, and spider predators in Northeast Connecticut. To separate the effects of predators on herbivore density from the effects on herbivore behavior, we created two classes of spiders: (i) risk spiders that had their feeding mouth parts glued to render them incapable of killing prey and (ii) predator spiders that remained unmanipulated. We found that the effect of predators on plants resulted from predator-induced changes in herbivore behavior (shifts in activity time and diet selection) rather than from predator-induced changes in grasshopper density. Neither predator nor risk spiders had a significant effect on grasshopper density relative to a control. This demonstrates that the behavioral response of prey to predators can have a strong impact on the dynamics of terrestrial food chains. The results make a compelling case to examine behavioral as well as density effects in theoretical and empirical research on food chain dynamics.
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Affiliation(s)
- A P Beckerman
- Yale University, School of Forestry and Environmental Studies, 370 Prospect Street, New Haven, CT 06511, USA
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