Mathematical Demography

Selected Papers

  • David P. Smith
  • Nathan Keyfitz

Part of the Biomathematics book series (BIOMATHEMATICS, volume 6)

Table of contents

  1. Front Matter
    Pages I-XI
  2. The Life Table

  3. Stable Population Theory

  4. Attempts at Prediction and the Theory they Stimulated

  5. Parameterization and Curve Fitting

    1. Front Matter
      Pages 273-278
    2. William M. Makeham
      Pages 283-288
    3. Ansley J. Coale, Paul Demeny
      Pages 289-300
    4. William Brass, Ansley J. Coale
      Pages 307-313
    5. S. D. Wicksell
      Pages 315-322
    6. Pierre-François Verhulst
      Pages 333-339
    7. Otis Dudley Duncan
      Pages 349-363
  6. Probability Models of Conception and Birth

  7. Branching Theory and Other Stochastic Processes

    1. Front Matter
      Pages 397-398

About this book


This volume is an effort to bring together important contributions to the mathe­ matical development of demography and to suggest briefly their historical context. We have tried to find who first thought of the several concepts and devices commonly used by demographers, what sort of problem he was facing to which the device or concept seemed the solution, and how his invention developed subsequently in the hands of others. Historically, the book starts with a Roman table of life expectancies from the third century a. d. about which we know little, and with John Graunt's explora­ tions in an area that was still popularly suspect when he wrote in 1662. These are followed by the astronomer Halley, who looked into the field long enough to invent the life table and to notice that Their Majesties would take a sizeable loss on the annuity scheme they had just launched; and by Euler, who was first to devise the formulas of stable population theory and to apply them to filling gaps in data To these we add the handful of further contributions in the 19th century and many pieces from the explosion of contributions that began in this century with Lotka. We doubt that we have managed to trace everything back to its ultimate beginning, and suspect that our nominees in some cases have been anticipated by predecessors who will be turned up by other students.


Calculation Demografie Demographie Mathematica START calculus demography development equation function mathematics mortality stochastic processes theorem

Authors and affiliations

  • David P. Smith
    • 1
  • Nathan Keyfitz
    • 1
  1. 1.Center for Population StudiesHarvard UniversityCambridgeUSA

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 1977
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-81048-0
  • Online ISBN 978-3-642-81046-6
  • Series Print ISSN 0067-8821
  • Buy this book on publisher's site