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Book/Printed Material Sensitivity Analysis: Matrix Methods in Demography and Ecology

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Title

  • Sensitivity Analysis: Matrix Methods in Demography and Ecology

Summary

  • 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.

Names

  • Caswell, Hal. author.

Created / Published

  • Cham : Springer International Publishing : Imprint: Springer, 2019.

Contents

  • I Introductory and methodological: 1 Introduction. Sensitivity analysis: what and why? -- 2 Matrix calculus and notation -- II Linear models: 3 The sensitivity of population growth rate: three approaches -- 4 Sensitivity analysis of longevity and life disparity -- 5 Individual stochasticity and implicit age dependence -- 6 Age[1]stage-classified models -- III Time-varying and stochastic models: 7 Transient population dynamics -- 8 Periodic models -- 9 LTRE decomposition of the stochastic growth rate -- IV Nonlinear models: 10 Sensitivity analysis of nonlinear demographic models -- V Markov chains: 11 Sensitivity analysis of discrete Markov chains -- 12 Sensitivity analysis of continuous Markov chains.

Headings

  • -  Biomathematics
  • -  Community ecology, Biotic
  • -  Demography
  • -  Statistics
  • -  Community & Population Ecology
  • -  Mathematical and Computational Biology
  • -  Statistics for Social Sciences, Humanities, Law

Notes

  • -  Description based on publisher-supplied MARC data.
  • -  Social Sciences (R0) (SpringerNature-43726)
  • -  Social Sciences (SpringerNature-41176)

Medium

  • 1 online resource (XVIII, 299 pages 134 illustrations)

Digital Id

Library of Congress Control Number

  • 2019738644

Rights Advisory

Access Advisory

  • Unrestricted online access

Online Format

  • image
  • epub

Additional Metadata Formats

Rights & Access

The books in this collection are licensed under open access licenses allowing for the reuse and distribution of each book following the terms described in each license. Researchers should consult the Rights Advisory statement for each title and the accompanying license details for information about rights and permissions associated with each of the licenses.

More about Copyright and other Restrictions.

Cite This Item

Citations are generated automatically from bibliographic data as a convenience, and may not be complete or accurate.

Chicago citation style:

Caswell, Hal. Author. Sensitivity Analysis: Matrix Methods in Demography and Ecology. Cham: Springer International Publishing: Imprint: Springer, 2019. Image. https://www.loc.gov/item/2019738644/.

APA citation style:

Caswell, H. A. (2019) Sensitivity Analysis: Matrix Methods in Demography and Ecology. Cham: Springer International Publishing: Imprint: Springer. [Image] Retrieved from the Library of Congress, https://www.loc.gov/item/2019738644/.

MLA citation style:

Caswell, Hal. Author. Sensitivity Analysis: Matrix Methods in Demography and Ecology. Cham: Springer International Publishing: Imprint: Springer, 2019. Image. Retrieved from the Library of Congress, <www.loc.gov/item/2019738644/>.