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Sensitivity Analysis: Matrix Methods in Demography and Ecology

Authors: Caswell, Hal;

Sensitivity Analysis: Matrix Methods in Demography and Ecology

Abstract

This open access book shows how to use sensitivity analysis in demography. It presents new methods for individuals, cohorts, and populations, with applications to humans, other animals, and plants. The analyses are based on matrix formulations of age-classified, stage-classified, and multistate population models. Methods are presented for linear and nonlinear, deterministic and stochastic, and time-invariant and time-varying cases. Readers will discover results on the sensitivity of statistics of longevity, life disparity, occupancy times, the net reproductive rate, and statistics of Markov chain models in demography. They will also see applications of sensitivity analysis to population growth rates, stable population structures, reproductive value, equilibria under immigration and nonlinearity, and population cycles. Individual stochasticity is a theme throughout, with a focus that goes beyond expected values to include variances in demographic outcomes. The calculations are easily and accurately implemented in matrix-oriented programming languages such as Matlab or R. Sensitivity analysis will help readers create models to predict the effect of future changes, to evaluate policy effects, and to identify possible evolutionary responses to the environment. Complete with many examples of the application, the book will be of interest to researchers and graduate students in human demography and population biology. The material will also appeal to those in mathematical biology and applied mathematics. ; This open access book provides a comprehensive presentation of sensitivity analysis for demographic models Applicable to populations of humans, other animals, and plants Develops mathematical theory and shows examples of application Considers all types of population models (linear and nonlinear, deterministic and stochastic, age-classified and stage-classified)

Countries
Colombia, Netherlands
Keywords

Ciencia, Ecología comunitaria, Biomathematics, thema EDItEUR::J Society and Social Sciences::JH Sociology and anthropology::JHB Sociology::JHBD Population and demography, Ecology, Ecología humana, Biótica, Statistics, thema EDItEUR::P Mathematics and Science::PS Biology, life sciences::PSV Zoology and animal sciences, Statistics , Social sciences, 510, thema EDItEUR::J Society and Social Sciences::JH Sociology and anthropology::JHB Sociology::JHBC Social research and statistics, Community ecology, Biotic, Demografía, Ciencias sociales, Sensitivity analysis, thema EDItEUR::P Mathematics and Science::PD Science: general issues::PDE Maths for scientists, Demography

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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
88
Top 1%
Top 10%
Top 1%
Green
hybrid