Density-dependent interspecific interactions and the complexity–stability relationship

Ever since May theorized that communities with larger numbers of species or interspecific interactions are inherently unstable, the mechanism allowing for the stable existence of complex communities in nature has been a central question in ecology. The main efforts to answer this question have sought to identify non-random features of ecological systems that can reverse a negative complexity–stability relationship into a positive one, but are far from successful, especially in their generality. Here, using the traditional community matrix analysis, we show that variation in the density dependence of interspecific interactions, which should be ubiquitous in nature, can dramatically affect the complexity–stability relationship. More specifically, we reveal that a positive complexity–stability relationship arises when harmful interspecific effects have larger density dependence than beneficial ones, regardless of the signs (i.e. positive or negative) of their dependence. Furthermore, numerical simulations demonstrated the synergistic stabilizing effect of interaction type diversity and density-dependence variation. Thus, this concept of density-dependence variation advances our understanding of the complexity–stability relationship in the real world.

[1]  S. Pimm.  The Balance of Nature?: Ecological Issues in the Conservation of Species and Communities , 1992 .

[2]  R. Macarthur.  Fluctuations of Animal Populations and a Measure of Community Stability , 1955 .

[3]  T. Namba.  Multi-faceted approaches toward unravelling complex ecological networks , 2015, Population Ecology.

[4]  R. Levins.  Evolution in Changing Environments: Some Theoretical Explorations. (MPB-2) , 1968 .

[5]  James Mallet,et al.  EVOLUTION OF DIVERSITY IN WARNING COLOR AND MIMICRY: Polymorphisms, Shifting , 1999 .

[6]  Michio Kondoh,et al.  Foraging Adaptation and the Relationship Between Food-Web Complexity and Stability , 2003, Science.

[7]  P. Kareiva,et al.  Aggregation in Aphis Varians: An Effective Strategy for Reducing Predation Risk , 1989 .

[8]  James P. Grover,et al.  The interaction between predation and competition: a review and synthesis , 2002 .

[9]  M. Edmunds,et al.  Strategies of Prey. (Book Reviews: Defence in Animals. A Survey of Anti-Predator Defences) , 1974 .

[10]  P. Yodzis,et al.  The stability of real ecosystems , 1981, Nature.

[11]  G. Vermeij.  Evolution and Escalation: An Ecological History of Life , 1987 .

[12]  A. Mougi,et al.  Diversity of Interaction Types and Ecological Community Stability , 2012, Science.

[13]  C. Elton,et al.  The Ecology of Invasion by Animals and Plants , 1960 .

[14]  Interaction-type diversity hypothesis and interaction strength: the condition for the positive complexity-stability effect to arise , 2015, Population Ecology.

[15]  Michio Kondoh,et al.  Anti-predator defence and the complexity–stability relationship of food webs , 2007, Proceedings of the Royal Society B: Biological Sciences.

[16]  Donald L DeAngelis,et al.  A consumer-resource approach to the density-dependent population dynamics of mutualism. , 2010, Ecology.

[17]  E. Lattman,et al.  Crystal structure and molecular interactions of tropomyosin , 1979, Nature.

[18]  E. Charnov.  Optimal foraging, the marginal value theorem. , 1976, Theoretical population biology.

[19]  Stefano Allesina,et al.  The stability–complexity relationship at age 40: a random matrix perspective , 2015, Population Ecology.

[20]  S. Pimm.  The complexity and stability of ecosystems , 1984, Nature.

[21]  P. Turchin.  Complex Population Dynamics: A Theoretical/Empirical Synthesis , 2013 .

[22]  G. Jones,et al.  COMPETITION, PREDATION, AND DENSITY-DEPENDENT MORTALITY IN DEMERSAL MARINE FISHES , 2005 .

[23]  Judith L Bronstein,et al.  Population Dynamics and Mutualism: Functional Responses of Benefits and Costs , 2002, The American Naturalist.

[24]  Ralph Tollrian,et al.  Consumer‐food systems: why type I functional responses are exclusive to filter feeders , 2004, Biological reviews of the Cambridge Philosophical Society.

[25]  K. Norris,et al.  Interference competition and the functional response of oystercatchers searching for cockles by touch , 1998, Animal Behaviour.

[26]  P. Abrams,et al.  Complexity, Stability, and Functional Response , 1982, The American Naturalist.

[27]  William W. Murdoch,et al.  Functional Response and Stability in Predator-Prey Systems , 1975, The American Naturalist.

[28]  Si Tang,et al.  Stability criteria for complex ecosystems , 2011, Nature.

[29]  J. Krebs,et al.  Arms races between and within species , 1979, Proceedings of the Royal Society of London. Series B. Biological Sciences.

[30]  K. McCann.  The diversity–stability debate , 2000, Nature.

[31]  P. Chesson.  Mechanisms of Maintenance of Species Diversity , 2000 .

[32]  ROBERT M. MAY,et al.  Will a Large Complex System be Stable? , 1972, Nature.

[33]  A. Maritan,et al.  Effects of Mixing Interaction Types on Ecological Community Stability , 2013, 1301.1569.

[34]  M. Begon,et al.  Ecology: From Individuals to Ecosystems , 2005 .

[35]  L. Nunney.  The Stability of Complex Model Ecosystems , 1980, The American Naturalist.

[36]  A. Houston,et al.  Optimal foraging and learning , 1985 .

[37]  C. S. Holling,et al.  The functional response of predators to prey density and its role in mimicry and population regulation. , 1965 .

[38]  C. S. Holling.  Some Characteristics of Simple Types of Predation and Parasitism , 1959, The Canadian Entomologist.

[39]  Amos Maritan,et al.  Disentangling the effect of hybrid interactions and of the constant effort hypothesis on ecological community stability , 2014 .

[40]  Donald L DeAngelis,et al.  Consumer-resource theory predicts dynamic transitions between outcomes of interspecific interactions. , 2009, Ecology letters.

[41]  John E. Gross,et al.  Functional Response of Herbivores in Food‐Concentrated Patches: Tests of a Mechanistic Model , 1993 .

[42]  R. Dukas,et al.  Learning improves growth rate in grasshoppers. , 2000, Proceedings of the National Academy of Sciences of the United States of America.