When is a type III functional response stabilizing? Theory and practice of predicting plankton dynamics under enrichment

Ecology
Wojciech UszkoThomas Müller

Abstract

The curvature of generalized Holling type functional response curves is controlled by a shape parameter b yielding hyperbolic type II (b = 1) to increasingly sigmoid type III (b > 1) responses. Empirical estimates of b vary considerably across taxa. Larger consumer-resource body mass ratios have been suggested to generate more pronounced type III responses and therefore to promote dynamic stability. The dependence of consumer- resource stability on b has, however, not been systematically explored, and the accurate empirical determination of b is challenging. Specifically, the shape of the functional response of the pelagic grazer Daphnia feeding on phytoplankton, and its consequences for stability, remain controversial. We derive a novel analytical condition relating b to local stability of consumer-resource interactions and use it to predict stability of empirically parameterized models of Daphnia and phytoplankton under enrichment. Functional response parameters were experimentally derived for two species of Daphnia feeding separately on single cultures of two different phytoplankton species. All experimentally studied Daphnia-algae systems exhibited type III responses. Parameterized type III responses are predicted to stabil...Continue Reading

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Citations

Apr 21, 2016·Ecology Letters·Daniel Barrios-O'NeillMark C Emmerson
Nov 16, 2018·Global Change Biology·Francisco Rivera VasconcelosPär Byström
Jan 14, 2017·Royal Society Open Science·Gustavo S BetiniJohn M Fryxell
Oct 6, 2018·PloS One·Cassandra N Glaspie, Rochelle D Seitz

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