Population Dynamics

Population Dynamics

Proceedings of a Symposium Conducted by the Mathematics Research Center The University of Wisconsin, Madison June 19–21, 1972

1st Edition - January 1, 1972

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  • Editor: T. N. E. Greville
  • eBook ISBN: 9781483273815

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Population Dynamics covers the proceedings of a symposium conducted by the Mathematics Research Center, The University of Wisconsin, Madison on June 19-21, 1972. The book focuses on the application of mathematics to the study of human population growth. The selection first offers information on population waves and the properties of a stochastic attraction model. Discussions focus on social distance, limiting behavior of the model, mathematical development, population increase and retirement pensions, natural periodicity in the demographic system, trends in generational stability, mobility in unstable populations, and the Easterlin effect. The text then takes a look at the sampling frame as a determinant of observed distributions of duration variables and comparison of alternative marriage models, including plausible marriage models, axioms for marriage functions, birth intervals, and computer simulation of prospective and interior birth interval lengths. The manuscript ponders on contraceptive impact over several generations, estimation of the risk of conception from censored data, and influence of cause of death structure on age-patterns of mortality. Topics include distributions of conception times, simulation of experiments, potential fertility of users, and length of protection. The selection is a valuable reference for researchers interested in population dynamics.

Table of Contents

  • Preface


    Population Waves

    Some Properties of a Stochastic Attraction Model

    The Sampling Frame as a Determinant of Observed Distributions of Duration Variables

    Comparison of Alternative Marriage Models

    Can There Be a Marriage Function?

    Contraceptive Impact over Several Generations

    On Estimating the Risk of Conception from Censored Data

    Influence of Cause of Death Structure on Age-Patterns of Mortality

    Inhomogeneous Semi-Markov Processes, Select Actuarial Tables, and Duration-Dependence in Demography

    A Class of Doubly Stochastic Processes: With an Application to the Effects of Lactation on the Postpartum Anovulatory Period

    A General Migration Process

    Some Results in the Theory of Three Gene Loci

    The Main Results of Optimal Control Theory Made Simple

    The Plato System Population Dynamics Course

    Subject Index

    Name Index

Product details

  • No. of pages: 456
  • Language: English
  • Copyright: © Academic Press 1972
  • Published: January 1, 1972
  • Imprint: Academic Press
  • eBook ISBN: 9781483273815

About the Editor

T. N. E. Greville

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