Equivalence relationships between stage-structured population models.
Matrix population models are widely applied in conservation ecology to help predict future population trends and guide conservation effort. Researchers must decide upon an appropriate level of model complexity, yet there is little theoretical work to guide such decisions. In this paper we present an...
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fttriple:oai:gotriple.eu:10670/1.3xgmu4 2023-05-15T18:03:44+02:00 Equivalence relationships between stage-structured population models. Yearsley, J.M. Fletcher, D. 2002-01-01 https://doi.org/10.1016/S0025-5564(02)00119-0 https://serval.unil.ch/resource/serval:BIB_ECFAA1DC079B.P001/REF.pdf http://nbn-resolving.org/urn/resolver.pl?urn=urn:nbn:ch:serval-BIB_ECFAA1DC079B7 en eng doi:10.1016/S0025-5564(02)00119-0 urn:issn:0025-5564 10670/1.3xgmu4 https://serval.unil.ch/resource/serval:BIB_ECFAA1DC079B.P001/REF.pdf http://nbn-resolving.org/urn/resolver.pl?urn=urn:nbn:ch:serval-BIB_ECFAA1DC079B7 other Serveur académique Lausannois Mathematical Biosciences, vol. 179, no. 2, pp. 131-143 stat envir Journal Article https://vocabularies.coar-repositories.org/resource_types/c_6501/ 2002 fttriple https://doi.org/10.1016/S0025-5564(02)00119-0 2023-01-22T17:41:25Z Matrix population models are widely applied in conservation ecology to help predict future population trends and guide conservation effort. Researchers must decide upon an appropriate level of model complexity, yet there is little theoretical work to guide such decisions. In this paper we present an analysis of a stage-structured model, and prove that the model's structure can be simplified and parameterised in such a way that the long-term growth rate, the stable-stage distribution and the generation time are all invariant to the simplification. We further show that for certain structures of model the simplified models require less effort in data collection. We also discuss features of the models which are not invariant to the simplification and the implications of our results for the selection of an appropriate model. We illustrate the ideas using a population model for short-tailed shearwaters (Puffinus tenuirostris). In this example, model simplification can increase parameter elasticity, indicating that an intermediate level of complexity is likely to be preferred. Article in Journal/Newspaper Puffinus tenuirostris Unknown Mathematical Biosciences 179 2 131 143 |
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stat envir Yearsley, J.M. Fletcher, D. Equivalence relationships between stage-structured population models. |
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description |
Matrix population models are widely applied in conservation ecology to help predict future population trends and guide conservation effort. Researchers must decide upon an appropriate level of model complexity, yet there is little theoretical work to guide such decisions. In this paper we present an analysis of a stage-structured model, and prove that the model's structure can be simplified and parameterised in such a way that the long-term growth rate, the stable-stage distribution and the generation time are all invariant to the simplification. We further show that for certain structures of model the simplified models require less effort in data collection. We also discuss features of the models which are not invariant to the simplification and the implications of our results for the selection of an appropriate model. We illustrate the ideas using a population model for short-tailed shearwaters (Puffinus tenuirostris). In this example, model simplification can increase parameter elasticity, indicating that an intermediate level of complexity is likely to be preferred. |
format |
Article in Journal/Newspaper |
author |
Yearsley, J.M. Fletcher, D. |
author_facet |
Yearsley, J.M. Fletcher, D. |
author_sort |
Yearsley, J.M. |
title |
Equivalence relationships between stage-structured population models. |
title_short |
Equivalence relationships between stage-structured population models. |
title_full |
Equivalence relationships between stage-structured population models. |
title_fullStr |
Equivalence relationships between stage-structured population models. |
title_full_unstemmed |
Equivalence relationships between stage-structured population models. |
title_sort |
equivalence relationships between stage-structured population models. |
publishDate |
2002 |
url |
https://doi.org/10.1016/S0025-5564(02)00119-0 https://serval.unil.ch/resource/serval:BIB_ECFAA1DC079B.P001/REF.pdf http://nbn-resolving.org/urn/resolver.pl?urn=urn:nbn:ch:serval-BIB_ECFAA1DC079B7 |
genre |
Puffinus tenuirostris |
genre_facet |
Puffinus tenuirostris |
op_source |
Serveur académique Lausannois Mathematical Biosciences, vol. 179, no. 2, pp. 131-143 |
op_relation |
doi:10.1016/S0025-5564(02)00119-0 urn:issn:0025-5564 10670/1.3xgmu4 https://serval.unil.ch/resource/serval:BIB_ECFAA1DC079B.P001/REF.pdf http://nbn-resolving.org/urn/resolver.pl?urn=urn:nbn:ch:serval-BIB_ECFAA1DC079B7 |
op_rights |
other |
op_doi |
https://doi.org/10.1016/S0025-5564(02)00119-0 |
container_title |
Mathematical Biosciences |
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179 |
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2 |
container_start_page |
131 |
op_container_end_page |
143 |
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1766174737793286144 |