Harvesting and Conversation in a Predator-Prey System

Research output: Working paperProfessional

Abstract

Optimal harvesting of prey in a predator-prey ecosystem is studiedunder the condition that the existence of the predator has value. Predators (birds) and humans (fishers) compete for prey (shellfish). The behavior of the system is studied and conditions for optimal control are deduced. Various optimal harvesting rates are identified for particular ecosystem characteristics, harvesting costs, the discount rate value, and value functions for birds. These optimal harvest rates are constant harvesting, at levels possibly leading to the extinction of birds, or oscillating harvesting, giving rise to oscillating stocks of birds and shellfish. The approach path towards an optimal regime is shown qualitatively and consists of alternating between harvesting maximally and not harvesting at all.
Original languageEnglish
Place of PublicationAmsterdam
PublisherTinbergen Instituut
Publication statusPublished - 2001

Publication series

NameDiscussion paper TI
No.01-024/3

Fingerprint

predators
birds
shellfish
ecosystems
extinction

Cite this

Hoekstra, J., & van den Bergh, J. C. J. M. (2001). Harvesting and Conversation in a Predator-Prey System. (Discussion paper TI; No. 01-024/3). Amsterdam: Tinbergen Instituut.
Hoekstra, Jeljer ; van den Bergh, Jeroen C.J.M. / Harvesting and Conversation in a Predator-Prey System. Amsterdam : Tinbergen Instituut, 2001. (Discussion paper TI; 01-024/3).
@techreport{57abf9548f0d48a99e26469bbd997f1f,
title = "Harvesting and Conversation in a Predator-Prey System",
abstract = "Optimal harvesting of prey in a predator-prey ecosystem is studiedunder the condition that the existence of the predator has value. Predators (birds) and humans (fishers) compete for prey (shellfish). The behavior of the system is studied and conditions for optimal control are deduced. Various optimal harvesting rates are identified for particular ecosystem characteristics, harvesting costs, the discount rate value, and value functions for birds. These optimal harvest rates are constant harvesting, at levels possibly leading to the extinction of birds, or oscillating harvesting, giving rise to oscillating stocks of birds and shellfish. The approach path towards an optimal regime is shown qualitatively and consists of alternating between harvesting maximally and not harvesting at all.",
author = "Jeljer Hoekstra and {van den Bergh}, {Jeroen C.J.M.}",
year = "2001",
language = "English",
series = "Discussion paper TI",
publisher = "Tinbergen Instituut",
number = "01-024/3",
type = "WorkingPaper",
institution = "Tinbergen Instituut",

}

Hoekstra, J & van den Bergh, JCJM 2001 'Harvesting and Conversation in a Predator-Prey System' Discussion paper TI, no. 01-024/3, Tinbergen Instituut, Amsterdam.

Harvesting and Conversation in a Predator-Prey System. / Hoekstra, Jeljer; van den Bergh, Jeroen C.J.M.

Amsterdam : Tinbergen Instituut, 2001. (Discussion paper TI; No. 01-024/3).

Research output: Working paperProfessional

TY - UNPB

T1 - Harvesting and Conversation in a Predator-Prey System

AU - Hoekstra, Jeljer

AU - van den Bergh, Jeroen C.J.M.

PY - 2001

Y1 - 2001

N2 - Optimal harvesting of prey in a predator-prey ecosystem is studiedunder the condition that the existence of the predator has value. Predators (birds) and humans (fishers) compete for prey (shellfish). The behavior of the system is studied and conditions for optimal control are deduced. Various optimal harvesting rates are identified for particular ecosystem characteristics, harvesting costs, the discount rate value, and value functions for birds. These optimal harvest rates are constant harvesting, at levels possibly leading to the extinction of birds, or oscillating harvesting, giving rise to oscillating stocks of birds and shellfish. The approach path towards an optimal regime is shown qualitatively and consists of alternating between harvesting maximally and not harvesting at all.

AB - Optimal harvesting of prey in a predator-prey ecosystem is studiedunder the condition that the existence of the predator has value. Predators (birds) and humans (fishers) compete for prey (shellfish). The behavior of the system is studied and conditions for optimal control are deduced. Various optimal harvesting rates are identified for particular ecosystem characteristics, harvesting costs, the discount rate value, and value functions for birds. These optimal harvest rates are constant harvesting, at levels possibly leading to the extinction of birds, or oscillating harvesting, giving rise to oscillating stocks of birds and shellfish. The approach path towards an optimal regime is shown qualitatively and consists of alternating between harvesting maximally and not harvesting at all.

M3 - Working paper

T3 - Discussion paper TI

BT - Harvesting and Conversation in a Predator-Prey System

PB - Tinbergen Instituut

CY - Amsterdam

ER -

Hoekstra J, van den Bergh JCJM. Harvesting and Conversation in a Predator-Prey System. Amsterdam: Tinbergen Instituut. 2001. (Discussion paper TI; 01-024/3).