Mathematical Demography

1. Front Matter

   Pages i-xxiii

   PDF

2. The Life Table

   1. Front Matter

      Pages 1-6

      PDF

   2. Tables of Annuity Values Which Were Sanctioned by the Roman Law for the Purposes of the Lex Falcidia

      • David P. Smith, Nathan Keyfitz

      Pages 7-9

   3. Natural and Political Observations Mentioned in a Following Index, and Made Upon the Bills of Mortality

      • David P. Smith, Nathan Keyfitz

      Pages 11-20

   4. An Estimate of the Degrees of the Mortality of Mankind

      • David P. Smith, Nathan Keyfitz

      Pages 21-26

   5. A Treatise on the Valuation of Annuities and Assurances on Lives and Survivors

      • David P. Smith, Nathan Keyfitz

      Pages 27-34

   6. Statistical Applications of the Mortality Table

      • David P. Smith, Nathan Keyfitz

      Pages 35-38

   7. Formal Treatment of Aggregate Mortality Data

      • David P. Smith, Nathan Keyfitz

      Pages 39-41

   8. A Short Method for Constructing an Abridged Life Table

      • David P. Smith, Nathan Keyfitz

      Pages 43-51

   9. Short Methods of Constructing Abridged Life Tables

      • David P. Smith, Nathan Keyfitz

      Pages 53-60

   10. Life Tables for Natural Populations of Animals

       • David P. Smith, Nathan Keyfitz

       Pages 61-74

3. Stable Population Theory

   1. Front Matter

      Pages 75-77

      PDF

   2. An Illustration of Population Growth

      • David P. Smith, Nathan Keyfitz

      Pages 79-82

   3. A General Investigation into the Mortality and Multiplication of the Human Species

      • David P. Smith, Nathan Keyfitz

      Pages 83-91

   4. Relation Between Birth Rates and Death Rates

      • David P. Smith, Nathan Keyfitz

      Pages 93-95

   5. A Problem in Age-Distribution

      • David P. Smith, Nathan Keyfitz

      Pages 97-100

   6. The Stability of the Normal Age Distribution

      • David P. Smith, Nathan Keyfitz

      Pages 101-107

   7. Resolving a Historical Confusion in Population Analysis

      • David P. Smith, Nathan Keyfitz

      Pages 109-129

   8. On the Integral Equation of Renewal Theory

      • David P. Smith, Nathan Keyfitz

      Pages 131-156

   9. A New Method for Calculating Lotka’s r — The Intrinsic Rate of Growth in a Stable Population

      • David P. Smith, Nathan Keyfitz

      Pages 157-160

Mathematical demography is the centerpiece of quantitative social science. The founding works of this field from Roman times to the late Twentieth Century are collected here, in a new edition of a classic work by David R. Smith and Nathan Keyfitz. Commentaries by Smith and Keyfitz have been brought up to date and extended by Kenneth Wachter and Hervé Le Bras, giving a synoptic picture of the leading achievements in formal population studies. Like the original collection, this new edition constitutes an indispensable source for students and scientists alike, and illustrates the deep roots and continuing vitality of mathematical demography.

• Lifetables
• Mathematical Demography
• Population

“This revised edition collates papers on mathematical demography that date back from Roman times to the late twentieth century. … This collection is a piece of history and is comprised of crucial source material equally for researchers, graduate students and practitioners. … Those looking to study mathematics and science related fields would greatly benefit from reading this text.” (S. E. Ahmed, Technometrics, Vol. 57 (1), February, 2015)

• University of California, Berkeley, Berkeley, USA

  Kenneth W. Wachter

• School for Advanced Studies in the Social Sciences, Paris, France

  Hervé Le Bras

• Harvard University, Cambridge, USA

  David P. Smith

• Harvard University Department of Sociology, Cambridge, USA

  Nathan Keyfitz

Kenneth Wachter is Professor of Demography and Statistics at the University of California, Berkeley. Former chair of the Committee on Population of the U.S. National Academy of Sciences, his work spans the range of mathematical demography and biodemography. Books include "Height, Health, and History" and "Between Zeus and the Salmon". Hervé Le Bras holds appointments at the School for Advanced Studies in Social Sciences and the National Institute for Demographic Studies in Paris. Along with contributions to mathematical demography and historical sociology, he is known for books such as "L'invention de la France", "Marianne et les lapins", "La planète au village", and "The Nature of Demography".

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