Abstract
Simulations of the coevolution of many interacting species are performed using the Webworld model. The model has a realistic set of predator— prey equations that describe the population dynamics of the species for any structure of the food web. The equations account for competition between species for the same resources, and for the diet choice of predators between alternative prey according to an evolutionarily stable strategy. The set of species present undergoes long-term evolution due to speciation and extinction events. We summarize results obtained on the macro-evolutionary dynamics of speciations and extinctions, and on the statistical properties of the food webs that are generated by the model. Simulations begin from small numbers of species and build up to larger webs with relatively constant species number on average. The rate of origination and extinction of species are relatively high, but remain roughly balanced throughout the simulations. When a ‘parent’ species undergoes speciation, the ‘child’ species usually adds to the same trophic level as the parent. The chance of the child species surviving is significantly higher if the parent is on the second or third trophic level than if it is on the first level, most likely due to a wider choice of possible prey for species on higher levels. Addition of a new species sometimes causes extinction of existing species. The parent species has a high probability of extinction because it has strong competition with the new species. Non-parental competitors of the new species also have a significantly higher extinction probability than average, as do prey of the new species. Predators of the new species are less likely than average to become extinct.
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References
Arditi, R. & Ginzburg, L.R. (1989). Coupling in predator-prey dynamics: ratiodependence. J. Theor. Biol. 139, 311–326.
Arditi, R. & Michalski, J. (1995). Nonlinear food web models and their responses to increased basal productivity. In: Food webs: integration of patterns and dynamics (Polis, G.A. & Winemiller, K.O., eds), pp. 122–133, Chapman & Hall, London.
Bak, P. & Sneppen, K. (1993). Punctuated equilibrium and criticality in a simple model of evolution. Phys. Rev. Lett. 71, 4083–4086.
Bastolla, U., Lässig, M., Manrubia, S.C. & Valleriani, A.(2000). Diversity patterns from ecological models at dynamical equilibrium. eprint: arXiv: nlin.AO/0009025.
Beddington, J. (1975). Mutual interference between parasites or predators and its effect on searching efficiency. Anim. Ecol. 51, 597–624.
Berryman, A.A. & Millstein, J.A. (1989a). Are ecological systems chaotic— and if not, why not? Trends Ecol. Evol. 4, 26–28.
Berryman, A.A. & Millstein, J.A. (1989b). Avoiding chaos-reply. Trends Ecol. Evol. 4, 240–240.
Berryman, A.A. (1992). The origins and evolution of predator-prey theory. Ecology 73, 1530–1535.
Caldarelli, G., Higgs, P.G. & McKane, A.J. (1998). Modelling coevolution in multispecies communities. J. Theor. Biol. 193, 345–358.
Cohen, J.E. (1990). A stochastic theory of community food webs VI-Heterogeneous alternatives to the cascade model. Theor. Pop. Biol. 37, 55–90.
Cohen, J.E., Briand, F. & Newman, C.M. (1990). Biomathematics Vol. 20. Community food webs, data and theory. Springer Verlag, Berlin.
Drossel, B. (2001). Biological evolution and statistical physics. eprint: arXiv:condmat/0101409.
Drossel, B., Higgs, P.G. & McKane, A.J. (2001). The influence of predator-prey population dynamics on the long-term evolution of food web structure. J. Theor. Biol. 208, 91–107.
Emlen, J.M. (1984). Population biology. Macmillan, New York.
Goldwasser, L. & Roughgarden, J. (1993). Construction and analysis of a large Caribbean food web. Ecology 74, 1216–1233.
Hall, S.J. & Raffaelli, D. (1991). Food web patterns: lessons from a species-rich web. J. Anim. Ecol. 60, 823–842.
Hallam, T.G. (1986). Community dynamics in a homogeneous environmemt. In: Mathematical ecology. Biomathematics Vol. 17. (Hallam, T.G. and Levin, S.A., eds), pp. 241–285, Springer-Verlag, Berlin.
Hastings, A. & Powell, T. (1991). Chaos in a three-species food chain, Ecology 72, 896–903.
Hofbauer, J. & Sigmund, K. (1998). Evolutionary games and population dynamics. Cambridge University Press, Cambridge.
Holling, C.S. (1959). Some characteristics of simple types of predation and parasitism. Can. Entomol. 91, 385–398.
Huisman, G. & De Boer, R.J. (1997). A formal derivation of the Beddington functional response, J. Theor. Biol. 185, 389–400, and references therein.
Lässig, M., Bastolla, U., Manrubia, S.C. & Valleriani, A. (2001). The shape of ecological networks. eprint: arXiv:nlin.AO/0101026.
Logofet, D.O. (1993). Matrices and graphs: stability problems in mathematical ecology. CRC Press, London.
Martinez, N.D. & Lawton, J.H. (1995). Scale and food web structure-from local to global. Oikos 73, 148–154.
May, R.M. (1974). Stability and complexity in model ecosystems. Monographs in population biology, Vol. 6. Princeton University Press, Princeton. Second edition.
McCann, K. & Yodzis, P. (1994). Biological conditions for chaos in three-species food chain. Ecology 75, 561–564.
Parker, G.A. & Maynard Smith, J. (1990). Optimality theory in evolutionary biology. Nature. 348, 27–33.
Pielou, E.C. (1977). Mathematical ecology. Wiley, New York, Second edition.
Pimm, S.L. (1982). Food webs. Chapman & Hall, London.
Post, D.M., Conners, M.E. & Goldberg, D.S. (2000). Prey preference by a top predator and the stability of linked food chains. Ecology 81, 8–14, and references therein.
Reeve, H.K & Dugatkin, L.A. (1998). Why we need evolutionary game theory. In: Game theory and animal behaviour (Dugatkin, L.A & Reeve, H.K., eds), pp. 304–311. Oxford University Press, Oxford.
Roughgarden, J. (1979). Theory of population genetics and evolutionary ecology. Macmillan, New York.
Solé, R.V., Manrubia, S.C., Benton, M. & Bak, P. (1997). Self-similarity of extinction statistics in the fossil record. Nature 388, 764–767.
Stephens, D. W. & Krebs, J. R. (1986). Foraging theory. Princeton University Press, NJ.
Svirezhev, Yu.M. & Logofet, D.O. (1983). Stability of biological communities. Mir Publishers, Moscow.
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Quince, C., Higgs, P.G., McKane, A.J. (2002). Food web structure and the evolution of ecological communities. In: Lässig, M., Valleriani, A. (eds) Biological Evolution and Statistical Physics. Lecture Notes in Physics, vol 585. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45692-9_16
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DOI: https://doi.org/10.1007/3-540-45692-9_16
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