Sensitivity analysis in periodic matrix models: A postscript to Caswell and Trevisan
Periodic matrix population models are a useful approach to modelling cyclic variations in demographic rates. Caswell and Trevisan [1] introduced the perturbation analysis (sensitivities and elasticities) of the per-cycle population growth rate for such models. Although powerful, their method can be...
| Main Authors: | , , |
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| Format: | Journal Article |
| Language: | Inglés |
| Published: |
Elsevier
2003
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| Subjects: | |
| Online Access: | https://hdl.handle.net/10568/29209 |
| _version_ | 1855539111609237504 |
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| author | Lesnoff, Matthieu Ezanno, P. Caswell, H. |
| author_browse | Caswell, H. Ezanno, P. Lesnoff, Matthieu |
| author_facet | Lesnoff, Matthieu Ezanno, P. Caswell, H. |
| author_sort | Lesnoff, Matthieu |
| collection | Repository of Agricultural Research Outputs (CGSpace) |
| description | Periodic matrix population models are a useful approach to modelling cyclic variations in demographic rates. Caswell and Trevisan [1] introduced the perturbation analysis (sensitivities and elasticities) of the per-cycle population growth rate for such models. Although powerful, their method can be time-consuming when the dimension of the matrices is large or when cycles are composed of many phases. We present a more efficient method, based on a very simple matrix product. We compared the two methods for matrices of different sizes. We observed a reduction in calculation time on the order of 24% with the new method for a set of 26 within-year Leslie matrices of size 287 x 287. The time saving may become particularly significant when sensitivities are used in Monte Carlo or bootstrap simulations. |
| format | Journal Article |
| id | CGSpace29209 |
| institution | CGIAR Consortium |
| language | Inglés |
| publishDate | 2003 |
| publishDateRange | 2003 |
| publishDateSort | 2003 |
| publisher | Elsevier |
| publisherStr | Elsevier |
| record_format | dspace |
| spelling | CGSpace292092024-08-29T11:41:36Z Sensitivity analysis in periodic matrix models: A postscript to Caswell and Trevisan Lesnoff, Matthieu Ezanno, P. Caswell, H. population dynamics population growth elasticity models Periodic matrix population models are a useful approach to modelling cyclic variations in demographic rates. Caswell and Trevisan [1] introduced the perturbation analysis (sensitivities and elasticities) of the per-cycle population growth rate for such models. Although powerful, their method can be time-consuming when the dimension of the matrices is large or when cycles are composed of many phases. We present a more efficient method, based on a very simple matrix product. We compared the two methods for matrices of different sizes. We observed a reduction in calculation time on the order of 24% with the new method for a set of 26 within-year Leslie matrices of size 287 x 287. The time saving may become particularly significant when sensitivities are used in Monte Carlo or bootstrap simulations. 2003-05 2013-06-11T09:22:47Z 2013-06-11T09:22:47Z Journal Article https://hdl.handle.net/10568/29209 en Limited Access Elsevier Mathematical and Computer Modelling;37(9-10): 945-948 |
| spellingShingle | population dynamics population growth elasticity models Lesnoff, Matthieu Ezanno, P. Caswell, H. Sensitivity analysis in periodic matrix models: A postscript to Caswell and Trevisan |
| title | Sensitivity analysis in periodic matrix models: A postscript to Caswell and Trevisan |
| title_full | Sensitivity analysis in periodic matrix models: A postscript to Caswell and Trevisan |
| title_fullStr | Sensitivity analysis in periodic matrix models: A postscript to Caswell and Trevisan |
| title_full_unstemmed | Sensitivity analysis in periodic matrix models: A postscript to Caswell and Trevisan |
| title_short | Sensitivity analysis in periodic matrix models: A postscript to Caswell and Trevisan |
| title_sort | sensitivity analysis in periodic matrix models a postscript to caswell and trevisan |
| topic | population dynamics population growth elasticity models |
| url | https://hdl.handle.net/10568/29209 |
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