Applied Mathematical Demography by Nathan Keyfitz

By Nathan Keyfitz

The 3rd variation of this vintage textual content keeps its concentrate on functions of demographic types, whereas extending its scope to matrix versions for stage-classified populations. The authors first introduce the existence desk to explain age-specific mortality, after which use it to boost concept for solid populations and the speed of inhabitants raise. This conception is then revisited within the context of matrix versions, for stage-classified in addition to age-classified populations. Reproductive worth and the strong an identical inhabitants are brought in either contexts, and Markov chain equipment are provided to explain the circulate of people during the lifestyles cycle. functions of mathematical demography to inhabitants projection and forecasting, kinship, microdemography, heterogeneity, and multi-state types are considered.

The new version continues and extends the book’s specialise in the results of adjustments within the important charges. tools are offered for calculating the sensitivity and elasticity of inhabitants development price, lifestyles expectancy, solid level distribution, and reproductive worth, and for using these ends up in comparative experiences.

Stage-classified versions are very important in either human demography and inhabitants ecology, and this version beneficial properties examples from either human and non-human populations. briefly, this 3rd variation enlarges significantly the scope and gear of demography. will probably be a necessary source for college kids and researchers in demography and in animal and plant inhabitants ecology.

Nathan Keyfitz is Professor Emeritus of Sociology at Harvard college. After maintaining positions at Canada’s Dominion Bureau of information, the college of Chicago, and the collage of California at Berkeley, he grew to become Andelot Professor of Sociology and Demography at Harvard in 1972. After retiring from Harvard, he grew to become Director of the inhabitants application on the overseas Institute for utilized platforms research (IIASA) in Vienna from 1983 to 1993. Keyfitz is a member of the U.S. nationwide Academy of Sciences and the Royal Society of Canada, and a Fellow of the yankee Academy of Arts and Sciences. He has acquired the Mindel Sheps Award of the inhabitants organization of the US and the Lazarsfeld Award of the yankee Sociological organization, and was once the 1997 Laureate of the overseas Union for the medical examine of inhabitants. He has written 12 books, together with creation to the math of inhabitants (1968) and, with Fr. Wilhelm Flieger, SVD, international inhabitants development and getting older: Demographic traits within the past due 20th Century (1990).

Hal Caswell is a Senior Scientist within the Biology division of the Woods gap Oceanographic establishment, the place he holds the Robert W. Morse Chair for Excellence in Oceanography. he's a Fellow of the yankee Academy of Arts and Sciences. He has held a Maclaurin Fellowship from the hot Zealand Institute of arithmetic and its functions and a John Simon Guggenheim Memorial Fellowship. His examine specializes in mathematical inhabitants ecology with purposes in conservation biology. he's the writer of Matrix inhabitants versions: building, research, and Interpretation (2001).

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Another is the effect on marriages and births of adding a number of males to a population, as against the (presumably greater) effect of adding the same number of females. Hunting female rabbits affects reproduction more than hunting male rabbits—how much more depends on how actively the remaining males get around. Satisfactory answers to such questions are not easily found. They cannot be obtained without facts or assumptions regarding individual behavior of a more detailed kind than demography ordinarily introduces.

19) supposes local stability—that the observed population has been increasing uniformly within 5-year age intervals. 12), calculated by stretching a straight line between the age intervals below and above the one of interest, and experimenting has shown that different ways of calculating the first or higher derivatives make little difference. Lacking knowledge of the true life table, can we at least set bounds on it? We can, establishing the higher bound by supposing the population (and corresponding deaths) within the age group x to x + n to be all concentrated at the low end.

95 confidence interval that is used where a probability model applies. A lower bound to the error of the life table is obtained by supposing that individuals die independently at random, each with probability n qx for his age x. The expression for this is easily derived (Keyfitz 1968, p. 341, is a secondary source with references). But such an error seems as far below the true error as that of this section is above. 12) has proved highly satisfactory in practice, giving negligible departure from graduated life tables and from iterated tables, without requiring either graduation or iteration.

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