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Integral projection models for species with complex demography

Ellner, S.P. and Rees, M. (2006) Integral projection models for species with complex demography. American Naturalist, 167 (3). pp. 410-428. ISSN 0003-0147


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Matrix projection models occupy a central role in population and conservation biology. Matrix models divide a population into discrete classes, even if the structuring trait exhibits continuous variation ( e. g., body size). The integral projection model ( IPM) avoids discrete classes and potential artifacts from arbitrary class divisions, facilitates parsimonious modeling based on smooth relationships between individual state and demographic performance, and can be implemented with standard matrix software. Here, we extend the IPM to species with complex demographic attributes, including dormant and active life stages, cross- classification by several attributes ( e. g., size, age, and condition), and changes between discrete and continuous structure over the life cycle. We present a general model encompassing these cases, numerical methods, and theoretical results, including stable population growth and sensitivity/ elasticity analysis for density- independent models, local stability analysis in density- dependent models, and optimal/ evolutionarily stable strategy life- history analysis. Our presentation centers on an IPM for the thistle Onopordum illyricum based on a 6- year field study. Flowering and death probabilities are size and age dependent, and individuals also vary in a latent attribute affecting survival, but a predictively accurate IPM is completely parameterized by fitting a few regression equations. The online edition of the American Naturalist includes a zip archive of R scripts illustrating our suggested methods.

Item Type: Article
Copyright, Publisher and Additional Information: © 2006 by The University of Chicago Press. Reproduced in accordance with the publisher's self-archiving policy.
Keywords: structured populations, integral model, matrix model, sensitivity analysis, latent variability, thistle
Institution: The University of Sheffield
Academic Units: The University of Sheffield > Faculty of Science (Sheffield) > School of Biological Sciences (Sheffield) > Department of Animal and Plant Sciences (Sheffield)
Depositing User: Repository Officer
Date Deposited: 27 Jun 2006
Last Modified: 13 Jul 2016 13:59
Published Version: http://www.journals.uchicago.edu/cgi-bin/resolve?i...
Status: Published
Publisher: University of Chicago Press
Refereed: Yes
Identification Number: 10.1086/499438
URI: http://eprints.whiterose.ac.uk/id/eprint/1410

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