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Population Dynamics in Variable Environments

  • Book
  • © 1990

Overview

Authors:
  1. Shripad Tuljapurkar

    1. Biological Sciences, Stanford University, Stanford, USA
      Graduate Group in Demography, University of California, Berkeley, USA

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Part of the book series: Lecture Notes in Biomathematics (LNBM, volume 85)

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Table of contents (16 chapters)

  1. Front Matter

    Pages N1-6
    Download chapter PDF

  2. Introduction

    • Shripad Tuljapurkar
    Pages 7-8

  3. Beginnings: Classical Theory

    • Shripad Tuljapurkar
    Pages 9-16

  4. Deterministic Temporal Variation

    • Shripad Tuljapurkar
    Pages 17-21

  5. Random Rates: General Theory

    • Shripad Tuljapurkar
    Pages 23-33

  6. Examples

    • Shripad Tuljapurkar
    Pages 35-38

  7. ESS and Allele Invasion

    • Shripad Tuljapurkar
    Pages 39-42

  8. Moments of the Population Vector

    • Shripad Tuljapurkar
    Pages 43-51

  9. Random Survival or Fertility: Exact Results

    • Shripad Tuljapurkar
    Pages 53-73

  10. Age Structure: Bounds, Growth, Convergence

    • Shripad Tuljapurkar
    Pages 75-79

  11. Synergy, Constraints, Convexity

    • Shripad Tuljapurkar
    Pages 81-85

  12. Sensitivity Analysis of Growth Rate

    • Shripad Tuljapurkar
    Pages 87-90

  13. Growth Rates for Small Noise

    • Shripad Tuljapurkar
    Pages 91-96

  14. Population Structure for Small Noise

    • Shripad Tuljapurkar
    Pages 97-101

  15. Population Projection

    • Shripad Tuljapurkar
    Pages 103-107

  16. Life History and Iteroparity

    • Shripad Tuljapurkar
    Pages 109-134

  17. Life History Evolution: Delayed Flowering

    • Shripad Tuljapurkar
    Pages 135-138

  18. Back Matter

    Pages 139-154
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Keywords

About this book

Demography relates observable facts about individuals to the dynamics of populations. If the dynamics are linear and do not change over time, the classical theory of Lotka (1907) and Leslie (1945) is the central tool of demography. This book addresses the situation when the assumption of constancy is dropped. In many practical situations, a population will display unpredictable variation over time in its vital rates, which must then be described in statistical terms. Most of this book is concerned with the theory of populations which are subject to random temporal changes in their vital rates, although other kinds of variation (e. g. , cyclical) are also dealt with. The central questions are: how does temporal variation work its way into a population's future, and how does it affect our interpretation of a population's past. The results here are directed at demographers of humans and at popula­ tion biologists. The uneven mathematical level is dictated by the material, but the book should be accessible to readers interested in population the­ ory. (Readers looking for background or prerequisites will find much of it in Hal Caswell's Matrix population models: construction, analysis, and in­ terpretation (Sinauer 1989) ). This book is in essence a progress report and is deliberately brief; I hope that it is not mystifying. I have not attempted to be complete about either the history or the subject, although most sig­ nificant results and methods are presented.

Authors and Affiliations

  • Biological Sciences, Stanford University, Stanford, USA

    Shripad Tuljapurkar

  • Graduate Group in Demography, University of California, Berkeley, USA

    Shripad Tuljapurkar

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