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.
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Notes for Chapter One
Spiegelman, M. (1968), Introduction to demography, p. 1ff.
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.
Ibid.
Trenerry, C.F. (1926), The origin and early history of insurance, pp. 151- 152. Taken from Digest, vol. 35, no. 2, p. 68.
Translated from the Latin by the author.
Smith, D. and Keyfitz, N. (1977), Mathematical demography-selected papers, p. 1.
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.
Wunsch, G. and Tremote, M. (1978, Introduction to demographic analysis - Principles and methods, p. 7.
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.
Pollard, J.H. (1973), Mathematical models for the growth of human populations, p. 3.
DeMoivre, A. (1738), The doctrine of chances. Third Ed., p. 347.
Westergaard, H. (1932), Contributions to the history of statistics, p. 34. Cited in Smith and Keyfitz, op. cit.
Jordan, C.W. (1967), Society of Actuaries textbook on life contingencies. Second Ed., p. 9.
DeMoivre (1738), op. cit., p. 346.
de Parcieux, A. (1746), Essai sur les probabilités de la Durée de la vie humaine. Cited in Smith and Keyfitz, op. cit., p. 2.
Pollard (1973), op. cit., p. 10.
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.
Jordan (1967), op. cit., p. 16.
Wunsch, G. and Termote, M. (1978), op. cit., p. 94.
Jordan (1967), op. cit., p. 170.
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.
Milne, J. (1815), A treatise on the valuation of annuities and assurances on lives and survivorships. Art. no. 177.
Jordan (1967), op. cit., p. 172.
Keyfitz, N. and Flieger, W. (1971), Population - facts and methods of demography, p. 426.
Ibid., p. 134.
Ibid., p. 426.
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.
Greville, T.N.E. (1943), Short methods of constructing abridges life tables. Record of the American Institute of Actuaries, vol. 32, pp. 34–40.
Fergany, N. (1971), On the human survivorship function and life table construction. Demography, vol. 8, no. 3, pp. 331–334.
Mitra, S. (1972), Comment on N. Fergany’s On the human survivorship function and life table construction. Demography, vol. 9, no. 3, p. 515.
Mitra, S. (1973), On the efficiency of the estimates of life table functions. Demography, vol. 10, no. 3, pp. 421–426.
McCann, J.C. (1976), A technique for estimating life expectancy with crude vital rates. Demography, vol. 13, no. 2, pp. 259–272.
Schoen, R. (1978), Calculating life tables by estimating Chiang’s a from observed rates. Demography, vol. 15, no. 4, pp. 625–635.
Godwin, W. (1793), Enquiry concerning political justice and its influence on morals and happiness.
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.
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.
Spengler, J.J. (1971), Malthus on Godwin’s “Of population”. Demography, vol. 8, no. 1, pp. 1–12.
Petersen, W. (1971), The Malthus-Godwin debate, then and now. Demography, vol. 8, no. 1, pp. 13–26.
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.
Davis, H.T. (1962), Introduction to nonlinear differential and integral equations, p. 97.
Pielou, E.C. (1969), An introduction to mathematical ecology, p. 19.
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.
Keyfitz, N. and Flieger, W., op. cit., p. 131.
DeMoivre, A. (1725), Annuities on lives: Or, the valuation of annuities upon any number of lives, p. 4.
Gompertz, B. (1825), On the nature of the function expressive of the law of mortality. Philosophical Transactions, vol. 27, pp. 513–519.
Makeham, W.M. (1860), On the law of mortality and the construction of annuity tables. Assurance Magazine, vol. 8, pp. 301–310.
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© 1985 Springer-Verlag Berlin Heidelberg
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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
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