Skip to main content

Part of the book series: Biomathematics ((BIOMATHEMATICS,volume 13))

  • 155 Accesses

Abstract

Demography is the study of population, primarily human population, in terms of its growth and decay, fertility and mortality, and its relative mobility, together with its impact on the economic, political and sociological components of society. Interest in this subject can be traced back to ancient times. Oriental legends and biblical references indicate that an enumeration or census of a population by age and by locality was not uncommon. This was done primarily for military records and manpower, as well as for taxation. Governments also used such information for administrative aids and to establish the socio-economic character of its people.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Notes for Chapter One

  1. Spiegelman, M. (1968), Introduction to demography, p. 1ff.

    Google Scholar 

  2. Acsadi and Nemeskeri (1970), History of human life span and mortality. Cited from the Royal Statistical Society, News and Notes, Rosamund Weatherall, Editor, June, 1982, London, vol. 8, no. 10, p. 7.

    Google Scholar 

  3. Ibid.

    Google Scholar 

  4. Trenerry, C.F. (1926), The origin and early history of insurance, pp. 151- 152. Taken from Digest, vol. 35, no. 2, p. 68.

    Google Scholar 

  5. Translated from the Latin by the author.

    Google Scholar 

  6. Smith, D. and Keyfitz, N. (1977), Mathematical demography-selected papers, p. 1.

    Book  MATH  Google Scholar 

  7. Graunt, J. (1662), Natural and political observations mentioned in a following index and made upon the bills of mortality. Republished in the Journal of the Institute of Actuaries, vol. 90, pp. 44–47, 1964.

    Google Scholar 

  8. Wunsch, G. and Tremote, M. (1978, Introduction to demographic analysis - Principles and methods, p. 7.

    MATH  Google Scholar 

  9. De Wit, J. (1671), Waardye von Lyf-renten naer proportie van Losrenten. English translation in Hendriks (1852), Contributions to the History of Insurance, with a Restoration of the Grand Pensionary DeWit’s treatise on Life Annuities, vol. 2, p. 232 ff.

    Google Scholar 

  10. Pollard, J.H. (1973), Mathematical models for the growth of human populations, p. 3.

    MATH  Google Scholar 

  11. DeMoivre, A. (1738), The doctrine of chances. Third Ed., p. 347.

    Google Scholar 

  12. Westergaard, H. (1932), Contributions to the history of statistics, p. 34. Cited in Smith and Keyfitz, op. cit.

    MATH  Google Scholar 

  13. Jordan, C.W. (1967), Society of Actuaries textbook on life contingencies. Second Ed., p. 9.

    Google Scholar 

  14. DeMoivre (1738), op. cit., p. 346.

    Google Scholar 

  15. de Parcieux, A. (1746), Essai sur les probabilités de la Durée de la vie humaine. Cited in Smith and Keyfitz, op. cit., p. 2.

    Google Scholar 

  16. Pollard (1973), op. cit., p. 10.

    Google Scholar 

  17. Bernoulli, D. (1766), Essai d’une nouvelle analyse de la mortalité causée par la petite vérole et les avantages de l’inoculation pour la prévenir. Histoire de l’Académie Royale des Sciences, pp. 1–45. Cited in Smith and Keyfitz, op. cit., p. 2.

    Google Scholar 

  18. Jordan (1967), op. cit., p. 16.

    Google Scholar 

  19. Wunsch, G. and Termote, M. (1978), op. cit., p. 94.

    Google Scholar 

  20. Jordan (1967), op. cit., p. 170.

    Google Scholar 

  21. Duvillard, É.É. (1806), Analyse et tableaux de l’influence de la petite vérole sur la mortalité a chaque age. Cited in Smith and Keyfitz, op. cit., p. 2.

    Google Scholar 

  22. Milne, J. (1815), A treatise on the valuation of annuities and assurances on lives and survivorships. Art. no. 177.

    Google Scholar 

  23. Jordan (1967), op. cit., p. 172.

    Google Scholar 

  24. Keyfitz, N. and Flieger, W. (1971), Population - facts and methods of demography, p. 426.

    Google Scholar 

  25. Ibid., p. 134.

    Google Scholar 

  26. Ibid., p. 426.

    Google Scholar 

  27. Reed, L.J. and Merrell, M. (1939), A short method for constructing a abridged life table. American Journal of Hygiene, vol. 30, pp. 33–38.

    Google Scholar 

  28. Greville, T.N.E. (1943), Short methods of constructing abridges life tables. Record of the American Institute of Actuaries, vol. 32, pp. 34–40.

    Google Scholar 

  29. Fergany, N. (1971), On the human survivorship function and life table construction. Demography, vol. 8, no. 3, pp. 331–334.

    Article  Google Scholar 

  30. Mitra, S. (1972), Comment on N. Fergany’s On the human survivorship function and life table construction. Demography, vol. 9, no. 3, p. 515.

    Article  Google Scholar 

  31. Mitra, S. (1973), On the efficiency of the estimates of life table functions. Demography, vol. 10, no. 3, pp. 421–426.

    Article  Google Scholar 

  32. McCann, J.C. (1976), A technique for estimating life expectancy with crude vital rates. Demography, vol. 13, no. 2, pp. 259–272.

    Article  Google Scholar 

  33. Schoen, R. (1978), Calculating life tables by estimating Chiang’s a from observed rates. Demography, vol. 15, no. 4, pp. 625–635.

    Article  Google Scholar 

  34. Godwin, W. (1793), Enquiry concerning political justice and its influence on morals and happiness.

    Google Scholar 

  35. Malthus, T.R. (1798), An essay in the principles of population as it affects the future improvement of society with remarks on the speculations of Mr. Godwin.

    Google Scholar 

  36. Godwin, W. (1820), Of population: An enquiry concerning the power of increase in the numbers of Mankind, being an answer to Mr. Malthus’s essay on that subject.

    Google Scholar 

  37. Spengler, J.J. (1971), Malthus on Godwin’s “Of population”. Demography, vol. 8, no. 1, pp. 1–12.

    Article  Google Scholar 

  38. Petersen, W. (1971), The Malthus-Godwin debate, then and now. Demography, vol. 8, no. 1, pp. 13–26.

    Article  Google Scholar 

  39. Verhulst, P.F. (1838), Notice sur la loi que la population suit dans son accroissement. Correspondance Mathématique et Physique Publiée par A. Quetelet, vol. 10, pp. 113–117.

    Google Scholar 

  40. Davis, H.T. (1962), Introduction to nonlinear differential and integral equations, p. 97.

    MATH  Google Scholar 

  41. Pielou, E.C. (1969), An introduction to mathematical ecology, p. 19.

    MATH  Google Scholar 

  42. May, R.M. (1978 (1975)), Mathematical aspects of the dynamics of animal populations. Studies in Mathematical Biology — Populations and Communities, Part II, edited by S.A. Levin, p. 317 ff.

    Google Scholar 

  43. Keyfitz, N. and Flieger, W., op. cit., p. 131.

    Google Scholar 

  44. DeMoivre, A. (1725), Annuities on lives: Or, the valuation of annuities upon any number of lives, p. 4.

    Google Scholar 

  45. Gompertz, B. (1825), On the nature of the function expressive of the law of mortality. Philosophical Transactions, vol. 27, pp. 513–519.

    Article  Google Scholar 

  46. Makeham, W.M. (1860), On the law of mortality and the construction of annuity tables. Assurance Magazine, vol. 8, pp. 301–310.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1985 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Impagliazzo, J. (1985). The Development of Mathematical Demography. In: Deterministic Aspects of Mathematical Demography. Biomathematics, vol 13. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82319-0_1

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-82319-0_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-82321-3

  • Online ISBN: 978-3-642-82319-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics