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Population Dynamics and the Tribolium Model: Genetics and Demography

  • Book
  • © 1991

Overview

Authors:
  1. Robert F. Costantino

    1. Department of Zoology, University of Rhode Island, Kingston, USA

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    You can also search for this author in PubMed   Google Scholar

  2. Robert A. Desharnais

    1. Department of Biology, California State University, Los Angeles, USA

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    You can also search for this author in PubMed   Google Scholar

Part of the book series: Monographs on Theoretical and Applied Genetics (GENETICS, volume 13)

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Table of contents (9 chapters)

  1. Front Matter

    Pages I-XII
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  2. Introduction

    • Robert F. Costantino, Robert A. Desharnais
    Pages 1-23

  3. Biology and Dynamics of Age Structure

    • Robert F. Costantino, Robert A. Desharnais
    Pages 24-50

  4. Demographic Oscillations

    • Robert F. Costantino, Robert A. Desharnais
    Pages 51-80

  5. Continuous Stochastic Models

    • Robert F. Costantino, Robert A. Desharnais
    Pages 81-112

  6. Discrete Stochastic Models

    • Robert F. Costantino, Robert A. Desharnais
    Pages 113-139

  7. Natural Selection

    • Robert F. Costantino, Robert A. Desharnais
    Pages 140-164

  8. Genetic Disequilibrium

    • Robert F. Costantino, Robert A. Desharnais
    Pages 165-192

  9. Two Interacting Species

    • Robert F. Costantino, Robert A. Desharnais
    Pages 193-213

  10. Dynamics and the Tribolium Model

    • Robert F. Costantino, Robert A. Desharnais
    Pages 214-237

  11. Back Matter

    Pages 238-258
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Keywords

About this book

The study of populations is becoming increasingly focused on dynamics. We believe there are two reasons for this trend. The ftrst is the impactof nonlinear dynamics with its exciting ideas and colorful language: bifurcations, domains of attraction, chaos, fractals, strange attractors. Complexity, which is so very much a part of biology, now seems to be also a part of mathematics. A second trend is the accessibility of the new concepts. Thebarriers tocommunicationbetween theoristandexperimentalistseemless impenetrable. The active participationofthe experimentalist means that the theory will obtain substance. Our role is the application of the theory of dynamics to the analysis ofbiological populations. We began our work early in 1979 by writing an ordinary differential equation for the rateofchange in adult numbers which was based on an equilibrium model proposed adecadeearlier. Duringthenextfewmonths weftlledournotebookswithstraightforward deductions from the model and its associated biological implications. Slowly, some of the biological observations were explained and papers followed on a variety of topics: genetic and demographic stability, stationary probability distributions for population size,population growth asabirth-deathprocess, natural selectionanddensity-dependent population growth, genetic disequilibrium, and the stationary stochastic dynamics of adult numbers.

Authors and Affiliations

  • Department of Zoology, University of Rhode Island, Kingston, USA

    Robert F. Costantino

  • Department of Biology, California State University, Los Angeles, USA

    Robert A. Desharnais

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