A consistent equation for ecological sensitivity in matrix population analysis

Mesterton-Gibbons, M., Benton, T. and Grant, A. ORCID: https://orcid.org/0000-0002-1147-2375 (2000) A consistent equation for ecological sensitivity in matrix population analysis. Trends in Ecology and Evolution, 15 (3). p. 115. ISSN 0169-5347

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Matrix population analysis is now accepted widely as an important tool in ecological studies, as reaffirmed in the excellent recent TREE review by Benton and Grant 1 . The controversy over whether elasticity or sensitivity is a better measure of the effect of a change in one vital rate on a population’s growth rate, has been largely settled by accepting that each measure provides an accurate answer to a different question 2 , 3 . Nevertheless, Benton and Grant’s reaffirmation inadvertently perpetuates a commonly used, but inconsistent, equation for sensitivity. Specifically, Benton and Grant – as well as previous authors 2 , 3 – assert that the sensitivity matrix is invariably equal to the outer product of the dominant left and right eigenvectors of the population projection matrix (Box 1). Unfortunately, in general, this equation is not consistent with the life cycle graph that generates the projection matrix: it sometimes implies flows along nonexistent arcs.

Item Type: Article
Uncontrolled Keywords: ecology, evolution, behavior and systematics ,/dk/atira/pure/subjectarea/asjc/1100/1105
Faculty \ School: Faculty of Science > School of Environmental Sciences
UEA Research Groups: Faculty of Science > Research Centres > Centre for Ecology, Evolution and Conservation
Faculty of Science > Research Groups > Environmental Biology
Faculty of Science > Research Groups > Centre for Ocean and Atmospheric Sciences
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Depositing User: LivePure Connector
Date Deposited: 18 Jul 2022 15:30
Last Modified: 23 Oct 2022 03:59
URI: https://ueaeprints.uea.ac.uk/id/eprint/86475
DOI: 10.1016/S0169-5347(99)01810-8

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