Perturbation analysis of nonlinear matrix population models
By Hal Caswell. 2008
113 citations recorded by the source corpus.
Perturbation analysis examines the response of a model to changes in its parameters. It is commonly applied to population growth rates calculated from linear models, but there has been no general approach to the analysis of nonlinear models. Nonlinearities in demographic models may arise due to density-dependence, frequency-dependence (in 2-sex models), feedback through the environment or the economy, and recruitment subsidy due to immigration, or from the scaling inherent in calculations of proportional population structure. This paper uses matrix calculus to derive the sensitivity and elasticity of equilibria, cycles, ratios (e.g. dependency ratios), age averages and variances, temporal averages and variances, life expectancies, and population growth rates, for both age-classified and stage-classified models. Examples are presented, applying the results to both human and non-human populations.
Subfields: Ecology, Genetics, Public Health, Environmental and Occupational Health
View Paper: https://www.semanticscholar.org/paper/4c8c409e6c595cf2f87c7a7d60c0e0cb3ff458df
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Citations in the corpus
- Nonlinear impacts of climatic variability on the density‐dependent regulation of an insect vector of disease (2012, methodology): “For the perturbation analysis, we used methods recently developed for nonlinear systems described by Caswell (2008).”
- Advancing environmentally explicit structured population models of plants (2016, background): “…as the situation when the relationship between environmental variables and vital rates or population growth rate cannot be described using a straight line even after transformations (i.e. we do not discuss nonlinearities in population models resulting from feedback effects, e.g. Caswell 2008).”