Eur. Phys. J. B 38, 297-303 (2004)
https://doi.org/10.1140/epjb/e2004-00122-1

Stabilization of chaotic and non-permanent food-web dynamics

Pacific Ecoinformatics and Computational Ecology Lab, Rocky Mountain Biological Laboratory, PO Box 519, Crested Butte, CO 81224, USA

Corresponding author: ^a neo@rmbl.org

Received: 7 December 2003
Published online: 14 May 2004

Abstract

Several decades of dynamical analyses of food-web networks [1-6] have led to important insights into the effects of complexity, omnivory and interaction strength on food-web stability [6-8]. Several recent insights [7,8] are based on nonlinear bioenergetic consumer-resource models [9] that display chaotic behavior in three species food chains [10,11] which can be stabilized by omnivory [7] and weak interaction of a fourth species [8]. We slightly relax feeding on low-density prey in these models by modifying standard food-web interactions known as “type II” functional responses [12]. This change drastically alters the dynamics of realistic systems containing up to ten species. Our modification stabilizes chaotic dynamics in three species systems and reduces or eliminates extinctions and non-persistent chaos [11] in ten species systems. This increased stability allows analysis of systems with greater biodiversity than in earlier work and suggests that dynamic stability is not as severe a constraint on the structure of large food webs as previously thought. The sensitivity of dynamical models to small changes in the predator-prey functional response well within the range of what is empirically observed suggests that functional response is a crucial aspect of species interactions that must be more precisely addressed in empirical studies.