Stabilization of chaotic and non-permanent food-web dynamics View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2004-03

AUTHORS

R. J. Williams, N. D. Martinez

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. More... »

PAGES

297-303

Identifiers

URI

http://scigraph.springernature.com/pub.10.1140/epjb/e2004-00122-1

DOI

http://dx.doi.org/10.1140/epjb/e2004-00122-1

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46 schema:description 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.
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