Abstract

Resource pulses are widespread phenomena in diverse ecosystems. Irruptions of generalist consumers and corresponding generalist predators often follow such resource pulses. This can have severe implications on the ecosystem and also on the spread of diseases or on regional famines. Suitable management strategies are necessary to deal with these systems. In this study, we develop a general model to investigate optimal control for such a system and apply this to a case study from New Zealand. In particular, we consider the dynamics of beech masting (episodic synchronous seed production) leading to rodent outbreaks and subsequent stoat (Mustela erminea) irruptions. Here, stoat control happens via secondary poisoning. The results show that the main driver of the optimal control timing (June) is the population density of the control vector. Intermediate control levels are superior to higher levels if the generalist consumer is necessary as a control vector. Finally, we extend the model to a two-patch metapopulation model, which indicates that, as a consequence of the strong vector dependence, a strategy of alternating control patches yields better results than static control. This highlights that besides control level, also the design impacts the control success. The results presented in this study reveal important insights for proper pest management in the New Zealand case study. However, they also generally indicate the necessity of tailored control in such systems.

Highlights

  • Food webs affected by a pulsed resource are widespread and often include irrupting generalist consumer populations accompanied by generalist predator population outbreaks (Ostfeld and Keesing 2000; Polis et al 2004)

  • We develop a mathematical model describing a food web consisting of a pulsed resource, a generalist consumer, and a generalist predator with discrete breeding times and parameterize it as an example with regard to the seed-rat-stoat dynamics from New Zealand

  • We have developed a model describing the dynamics of a food chain consisting of a generalist consumer and a generalist predator affected by a pulsed resource

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Summary

Introduction

Food webs affected by a pulsed resource are widespread and often include irrupting generalist consumer populations accompanied by generalist predator population outbreaks (Ostfeld and Keesing 2000; Polis et al 2004). Heavy rainfalls or synchronous intermittent seed production events, commonly referred to as mast seeding are typical examples of pulsed resources Due to their short life span, rodent irruptions frequently form an integral part of such systems (Ostfeld and Keesing 2000). In Japan, Castanopsis sieboldii masting is followed by high rat (Rattus rattus, Tokudaia tokunoshimensis, and Diplothrix legata) abundances. Heavy summer rainfalls in Argentina lead to irruptions of vegetation biomass followed by high corn mouse (Calomys musculinus) abundances associated with outbreaks of Argentine hemorrhagic fever virus epidemics (Ostfeld and Keesing 2000).

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