A simple predator-prey model of exploited marine fish populations incorporating alternative prey
A simple two-species population model in which the predator is partially coupled to the prey is developed. The model is an extension of traditional two-species models but less complex than a three-species system. The growth rate of the predator depends upon predation on the modeled and alternate pre...
Published in: | ICES Journal of Marine Science |
---|---|
Main Authors: | , |
Format: | Text |
Language: | English |
Published: |
Oxford University Press
1996
|
Subjects: | |
Online Access: | http://icesjms.oxfordjournals.org/cgi/content/short/53/3/615 https://doi.org/10.1006/jmsc.1996.0082 |
id |
fthighwire:oai:open-archive.highwire.org:icesjms:53/3/615 |
---|---|
record_format |
openpolar |
spelling |
fthighwire:oai:open-archive.highwire.org:icesjms:53/3/615 2023-05-15T18:51:06+02:00 A simple predator-prey model of exploited marine fish populations incorporating alternative prey Spencer, Paul D. Collie, Jeremy S. 1996-06-01 00:00:00.0 text/html http://icesjms.oxfordjournals.org/cgi/content/short/53/3/615 https://doi.org/10.1006/jmsc.1996.0082 en eng Oxford University Press http://icesjms.oxfordjournals.org/cgi/content/short/53/3/615 http://dx.doi.org/10.1006/jmsc.1996.0082 Copyright (C) 1996, International Council for the Exploration of the Sea/Conseil International pour l'Exploration de la Mer Articles TEXT 1996 fthighwire https://doi.org/10.1006/jmsc.1996.0082 2013-05-26T13:05:00Z A simple two-species population model in which the predator is partially coupled to the prey is developed. The model is an extension of traditional two-species models but less complex than a three-species system. The growth rate of the predator depends upon predation on the modeled and alternate prey; this formulation provides greater realism in describing marine piscivores, such as spiny dogfish ( Squalus acanthias ), than two-species predator–prey models. Two stable equilibria separated by a saddle point potentially exist for the predator–prey system, and stochastic variability can lead to movement between equilibrium abundance levels. In addition, endogenous limit cycles may exist in the presence of predator fishing mortality. The model is applied to the predation of spiny dogfish on a representative groundfish species, the Georges Bank haddock ( Melanogrammus aeglefinus ). Stochastic variability is input to the model in the form of “red noise” (variance is a decreasing function of frequency), a feature observed in marine environments. Predator abundance can increase when the modeled prey abundance is low, due to consumption of alternate prey, consistent with the pattern observed in the spiny dogfish–haddock abundances. Increased harvesting on the predator species allows the prey species to spend a greater proportion of time at the high equilibrium. The model presented here poses the interesting management problem of finding the optimal combination of fishing mortality rates for the two species. Text spiny dogfish Squalus acanthias HighWire Press (Stanford University) Saddle Point ENVELOPE(73.483,73.483,-53.017,-53.017) ICES Journal of Marine Science 53 3 615 628 |
institution |
Open Polar |
collection |
HighWire Press (Stanford University) |
op_collection_id |
fthighwire |
language |
English |
topic |
Articles |
spellingShingle |
Articles Spencer, Paul D. Collie, Jeremy S. A simple predator-prey model of exploited marine fish populations incorporating alternative prey |
topic_facet |
Articles |
description |
A simple two-species population model in which the predator is partially coupled to the prey is developed. The model is an extension of traditional two-species models but less complex than a three-species system. The growth rate of the predator depends upon predation on the modeled and alternate prey; this formulation provides greater realism in describing marine piscivores, such as spiny dogfish ( Squalus acanthias ), than two-species predator–prey models. Two stable equilibria separated by a saddle point potentially exist for the predator–prey system, and stochastic variability can lead to movement between equilibrium abundance levels. In addition, endogenous limit cycles may exist in the presence of predator fishing mortality. The model is applied to the predation of spiny dogfish on a representative groundfish species, the Georges Bank haddock ( Melanogrammus aeglefinus ). Stochastic variability is input to the model in the form of “red noise” (variance is a decreasing function of frequency), a feature observed in marine environments. Predator abundance can increase when the modeled prey abundance is low, due to consumption of alternate prey, consistent with the pattern observed in the spiny dogfish–haddock abundances. Increased harvesting on the predator species allows the prey species to spend a greater proportion of time at the high equilibrium. The model presented here poses the interesting management problem of finding the optimal combination of fishing mortality rates for the two species. |
format |
Text |
author |
Spencer, Paul D. Collie, Jeremy S. |
author_facet |
Spencer, Paul D. Collie, Jeremy S. |
author_sort |
Spencer, Paul D. |
title |
A simple predator-prey model of exploited marine fish populations incorporating alternative prey |
title_short |
A simple predator-prey model of exploited marine fish populations incorporating alternative prey |
title_full |
A simple predator-prey model of exploited marine fish populations incorporating alternative prey |
title_fullStr |
A simple predator-prey model of exploited marine fish populations incorporating alternative prey |
title_full_unstemmed |
A simple predator-prey model of exploited marine fish populations incorporating alternative prey |
title_sort |
simple predator-prey model of exploited marine fish populations incorporating alternative prey |
publisher |
Oxford University Press |
publishDate |
1996 |
url |
http://icesjms.oxfordjournals.org/cgi/content/short/53/3/615 https://doi.org/10.1006/jmsc.1996.0082 |
long_lat |
ENVELOPE(73.483,73.483,-53.017,-53.017) |
geographic |
Saddle Point |
geographic_facet |
Saddle Point |
genre |
spiny dogfish Squalus acanthias |
genre_facet |
spiny dogfish Squalus acanthias |
op_relation |
http://icesjms.oxfordjournals.org/cgi/content/short/53/3/615 http://dx.doi.org/10.1006/jmsc.1996.0082 |
op_rights |
Copyright (C) 1996, International Council for the Exploration of the Sea/Conseil International pour l'Exploration de la Mer |
op_doi |
https://doi.org/10.1006/jmsc.1996.0082 |
container_title |
ICES Journal of Marine Science |
container_volume |
53 |
container_issue |
3 |
container_start_page |
615 |
op_container_end_page |
628 |
_version_ |
1766244894472404992 |