Sensitivity analysis of periodic matrix population models
MetadataShow full item record
KeywordPeriodic environments; Seasonal models; Nonlinear models; Sensitivity analysis; Elasticity analysis; Matrix calculus
Periodic matrix models are frequently used to describe cyclic temporal variation (seasonal or interannual) and to account for the operation of multiple processes (e.g., demography and dispersal) within a single projection interval. In either case, the models take the form of peri- odic matrix products. The perturbation analysis of periodic models must trace the e ects of parameter changes, at each phase of the cycle, on output variables that are calculated over the entire cycle. Here, we apply matrix calculus to obtain the sensitivity and elasticity of scalar-, vector-, or matrix-valued output variables. We apply the method to linear models for periodic environments (including seasonal harvest models), to vec-permutation models in which individ- uals are classi ed by multiple criteria, and to nonlinear models including both immediate and delayed density dependence. The results can be used to evaluate management strategies and to study selection gradients in periodic environments.
Author Posting. © The Author(s), 2012. This is the author's version of the work. It is posted here by permission of Elsevier B.V. for personal use, not for redistribution. The definitive version was published in Theoretical Population Biology 82 (2012): 329-339, doi:10.1016/j.tpb.2012.03.008.
Suggested CitationPreprint: Caswell, Hal, Shyu, Esther, "Sensitivity analysis of periodic matrix population models", 2012-04, https://doi.org/10.1016/j.tpb.2012.03.008, https://hdl.handle.net/1912/5179
Showing items related by title, author, creator and subject.
Matrix models and sensitivity analysis of populations classified by age and stage : a vec-permutation matrix approach Caswell, Hal (Springer, 2011-06-14)Matrix population models in which individuals are classified by both age and stage can be constructed using the vec-permutation matrix. The resulting age-stage models can be used to derive the age-specific consequences of ...
Verdy, Ariane; Caswell, Hal (2008-02)Ecological systems with asymptotically stable equilibria may exhibit significant transient dynamics following perturbations. In some cases, these transient dynamics include the possibility of excursions away from the ...
Mating behavior, population growth, and the operational sex ratio : a periodic two‐sex model approach Jenouvrier, Stephanie; Caswell, Hal; Barbraud, Christophe; Weimerskirch, Henri (University of Chicago Press, 2010-04-21)We present a new approach to modeling two‐sex populations, using periodic, nonlinear two‐sex matrix models. The models project the population growth rate, the population structure, and any ratio of interest (e.g., operational ...