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Titlebook: Mathematical Demography; Selected Papers David P. Smith,Nathan Keyfitz Textbook 19771st edition Springer-Verlag Berlin · Heidelberg 1977 Ca

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书目名称Mathematical Demography
副标题Selected Papers
编辑David P. Smith,Nathan Keyfitz
视频video
丛书名称Biomathematics
图书封面Titlebook: Mathematical Demography; Selected Papers David P. Smith,Nathan Keyfitz Textbook 19771st edition Springer-Verlag Berlin · Heidelberg 1977 Ca
描述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 e
出版日期Textbook 19771st edition
关键词Calculation; Demografie; Demographie; Mathematica; START; calculus; demography; development; equation; functi
版次1
doihttps://doi.org/10.1007/978-3-642-81046-6
isbn_ebook978-3-642-81046-6Series ISSN 0067-8821 Series E-ISSN 2197-4160
issn_series 0067-8821
copyrightSpringer-Verlag Berlin · Heidelberg 1977
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Textbook 19771st editionical 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
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Short Methods of Constructing Abridged Life Tables that reason, have not received the attention they deserve from the actuarial profession. It is the purpose of this paper to bring some of these methods to the notice of actuaries and also to show that certain formulas which have been put forward by their originators on purely empirical grounds actually have a valid mathematical basis....
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A Problem in Age-Distributionch the actual distribution varies, and towards which it tends to return if through any agency disturbed therefrom. It was shown on a former occasion. how to calculate the “fixed” age-distribution, which, if once established, will (under constant conditions) maintain itself.
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Tables of Annuity Values Which Were Sanctioned by the Roman Law for the Purposes of the Lex Falcidiaccount of ., which at best could only have been continuously obtained with great difficulty.” The table values should be recognized as excessive if an interest rate much above 1% is incorporated, and we believe with Hendriks that none is.
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An Illustration of Population Growthnal couple at ages 22, 24 and 26, and who die at age 40, later generations repeating the same fertility and mortality schedules. Euler demonstrates that after 300 years the population will be growing approximately geometrically and recognizes this as the limit of a recurrent series; i.e., he is working with a very general result.
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Resolving a Historical Confusion in Population Analysist much of his career,. with no cadre of graduate students and colleagues, he could naturally be expected to be prickly over failures to recognize and acknowledge his important contributions to demography.
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Life Tables for Natural Populations of Animals our most serious omission is a detailed study of barnacles that examines crowding effects and mortality. Deevey begins his article with discussions of the life table and of different general survival patterns, which we also omit.
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