Staff Publications

Staff Publications

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    'Staff publications' is the digital repository of Wageningen University & Research

    'Staff publications' contains references to publications authored by Wageningen University staff from 1976 onward.

    Publications authored by the staff of the Research Institutes are available from 1995 onwards.

    Full text documents are added when available. The database is updated daily and currently holds about 240,000 items, of which 72,000 in open access.

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Record number 333291
Title Optimal harvesting in a two-species model under critical depensation The case of optimal harvesting in semi-arid grazing systems
Author(s) Stigter, J.D.; Langevelde, F. van
Source Ecological Modelling 179 (2004)2. - ISSN 0304-3800 - p. 153 - 161.
DOI https://doi.org/10.1016/j.ecolmodel.2004.06.003
Department(s) Systems and Control Group
Wildlife Ecology and Conservation
PE&RC
Publication type Refereed Article in a scientific journal
Publication year 2004
Keyword(s) ecology - conservation - populations - policies - fishery
Abstract Ecological systems in general often exhibit the mechanism of critical depensation, i.e. the system may collapse due to decreasing population densities caused by, for example, an increasing predation pressure on the prey that causes both populations to collapse to extinction. In this study a semi-arid predator–prey grazing system is taken as an example and optimal, model based, harvesting rates for the herbivore population are presented that allow survival of both herbivores and grasses during long dry periods without precipitation. Recovery to a maximum sustainable yield is achieved in the next rain season under the assumption of model validity. Optimal control theory is utilized in this example as the principal method of solution. Both analytical and numerical issues of the solution method and obtained solutions are discussed. Survival of the system is possible if the pastoralist is willing to decrease his population considerably once the dry period has set in. The social willingness, necessary to implement these management strategies, can be interpreted in terms of a discount rate in the current value Hamiltonian associated with the dynamical grazing system. The example is worked out in more detail and dynamical solutions for two discount rates are presented.
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