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Demographic Research Monographs
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Sensitivity Analysis: Matrix Methods in Demography and Ecology

Authors: Caswell, Hal

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  • 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)
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eBook  
  • ISBN 978-3-030-10534-1
  • This book is an open access book, you can download it for free on link.springer.com
Hardcover 51,99 €
price for Spain (gross)
  • ISBN 978-3-030-10533-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

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.

 

About the authors

Hal Caswell is a mathematical demographer and ecologist specializing in matrix models for populations. He has a long association with the Woods Hole Oceanographic Institution and the Max Planck Institute for Demographic Research, and is now Professor of Mathematical Demography and Ecology at the University of Amsterdam. 
His research interests include the theory of matrix population models and their applications to evolutionary demography, conservation and the effects of climate change, health demography, lifetime reproductive output and fertility, and the interaction of stochasticity and heterogeneity in populations. In addition to his work on humans, he has studied the demography of polar bears, penguins, nematodes, and terrestrial plants. Much of this work involves sensitivity analysis, the topic of this volume.
Caswell has been recognized by numerous international awards and fellowships in both human demography and ecology. He is the author of Matrix Population Models (2nd edition, Sinauer Associates, 2001) and co-author with the late Nathan Keyfitz of Applied Mathematical Demography (3rd edition, Springer-Verlag).

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Table of contents (12 chapters)

Table of contents (12 chapters)
  • Introduction: Sensitivity Analysis – What and Why?

    Pages 3-12

    Caswell, Hal

  • Matrix Calculus and Notation

    Pages 13-28

    Caswell, Hal

  • The Sensitivity of Population Growth Rate: Three Approaches

    Pages 31-43

    Caswell, Hal

  • Sensitivity Analysis of Longevity and Life Disparity

    Pages 45-65

    Caswell, Hal

  • Individual Stochasticity and Implicit Age Dependence

    Pages 67-113

    Caswell, Hal

Buy this book

eBook  
  • ISBN 978-3-030-10534-1
  • This book is an open access book, you can download it for free on link.springer.com
Hardcover 51,99 €
price for Spain (gross)
  • ISBN 978-3-030-10533-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Sensitivity Analysis: Matrix Methods in Demography and Ecology
Authors
Series Title
Demographic Research Monographs
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
The Editor(s) (if applicable) and The Author(s)
eBook ISBN
978-3-030-10534-1
DOI
10.1007/978-3-030-10534-1
Hardcover ISBN
978-3-030-10533-4
Series ISSN
1613-5520
Edition Number
1
Number of Pages
XVIII, 299
Number of Illustrations
134 b/w illustrations
Topics