Applying difference equations to wolf predation
Parameters for generalized Lotka-Volterra equations, expressed as difference equations, have been estimated from actual data on wolves and their prey. The functional response is represented by a single constant, while the numerical response is expressed as a ratio-dependent limitation on predator ab...
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Canadian Science Publishing
1998
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Online Access: | http://dx.doi.org/10.1139/z97-184 http://www.nrcresearchpress.com/doi/pdf/10.1139/z97-184 |
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crcansciencepubl:10.1139/z97-184 2023-12-17T10:18:02+01:00 Applying difference equations to wolf predation Eberhardt, L L 1998 http://dx.doi.org/10.1139/z97-184 http://www.nrcresearchpress.com/doi/pdf/10.1139/z97-184 en eng Canadian Science Publishing http://www.nrcresearchpress.com/page/about/CorporateTextAndDataMining Canadian Journal of Zoology volume 76, issue 2, page 380-386 ISSN 0008-4301 1480-3283 Animal Science and Zoology Ecology, Evolution, Behavior and Systematics journal-article 1998 crcansciencepubl https://doi.org/10.1139/z97-184 2023-11-19T13:39:03Z Parameters for generalized Lotka-Volterra equations, expressed as difference equations, have been estimated from actual data on wolves and their prey. The functional response is represented by a single constant, while the numerical response is expressed as a ratio-dependent limitation on predator abundance. Parameters for the Lotka-Volterra equations were estimated by multiple-regression fits to data on moose (Alces alces) and wolves (Canis lupus) on Isle Royale, and from other sources. Observed prey-predator ratios are highly variable, but much of the variability may arise from nonequilibrium conditions. A multiple-prey model has been developed by assuming that utilization rates vary in proportion to relative current biomass. If analyses are to be useful, the dynamic, nonlinear nature of predator-prey systems requires that a system of equations be developed, along with extensive series of observations of actual abundances of predator and prey. Article in Journal/Newspaper Alces alces Canis lupus Canadian Science Publishing (via Crossref) Canadian Journal of Zoology 76 2 380 386 |
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Open Polar |
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Canadian Science Publishing (via Crossref) |
op_collection_id |
crcansciencepubl |
language |
English |
topic |
Animal Science and Zoology Ecology, Evolution, Behavior and Systematics |
spellingShingle |
Animal Science and Zoology Ecology, Evolution, Behavior and Systematics Eberhardt, L L Applying difference equations to wolf predation |
topic_facet |
Animal Science and Zoology Ecology, Evolution, Behavior and Systematics |
description |
Parameters for generalized Lotka-Volterra equations, expressed as difference equations, have been estimated from actual data on wolves and their prey. The functional response is represented by a single constant, while the numerical response is expressed as a ratio-dependent limitation on predator abundance. Parameters for the Lotka-Volterra equations were estimated by multiple-regression fits to data on moose (Alces alces) and wolves (Canis lupus) on Isle Royale, and from other sources. Observed prey-predator ratios are highly variable, but much of the variability may arise from nonequilibrium conditions. A multiple-prey model has been developed by assuming that utilization rates vary in proportion to relative current biomass. If analyses are to be useful, the dynamic, nonlinear nature of predator-prey systems requires that a system of equations be developed, along with extensive series of observations of actual abundances of predator and prey. |
format |
Article in Journal/Newspaper |
author |
Eberhardt, L L |
author_facet |
Eberhardt, L L |
author_sort |
Eberhardt, L L |
title |
Applying difference equations to wolf predation |
title_short |
Applying difference equations to wolf predation |
title_full |
Applying difference equations to wolf predation |
title_fullStr |
Applying difference equations to wolf predation |
title_full_unstemmed |
Applying difference equations to wolf predation |
title_sort |
applying difference equations to wolf predation |
publisher |
Canadian Science Publishing |
publishDate |
1998 |
url |
http://dx.doi.org/10.1139/z97-184 http://www.nrcresearchpress.com/doi/pdf/10.1139/z97-184 |
genre |
Alces alces Canis lupus |
genre_facet |
Alces alces Canis lupus |
op_source |
Canadian Journal of Zoology volume 76, issue 2, page 380-386 ISSN 0008-4301 1480-3283 |
op_rights |
http://www.nrcresearchpress.com/page/about/CorporateTextAndDataMining |
op_doi |
https://doi.org/10.1139/z97-184 |
container_title |
Canadian Journal of Zoology |
container_volume |
76 |
container_issue |
2 |
container_start_page |
380 |
op_container_end_page |
386 |
_version_ |
1785537098400399360 |