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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/1596 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/1596 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/1596 archive 351 disk0/00/00/15/44 2016-01-15 01:49:08 2021-08-27 17:10:10 2016-01-15 01:49:08 monograph show 3 Arthur W.B. 518 pub iis_met iis_mod iis_pop prog_sds Many seemingly different questions that interest demographers can be phrased as the same technical question: how, within a given demographic model, would variable "y" change if the age- or time-specific function "f" were to change arbitrarily in shape and intensity? At present demography lacks the machinery to answer this question in analytical and general form. This paper suggests a method, based on modern functional calculus, for deriving closed-form expressions for the sensitivity of demographic variables to changes in input functions or schedules. It uses this "causal linkage method" on three bodies of theory: stable population analysis, nonstable or transient population analysis, techniques for the estimation of incomplete demographic data. In stable theory, closed-form expression are obtained for the response of the intrinsic growth rate, birth rate, and age composition to arbitrary marginal changes in the age patterns of fertility and mortality. In nonstable theory, expressions are obtained for the transient response of the age composition to time-varying changes in the birth sequence, and to age-specific fertility and mortality patterns. The problem of "bias" in period vital rates is also looked at. 1981-12 published RR-81-027 RR-81-027 10 1694 public research_report IIASA, Laxenburg, Austria 44 TRUE FALSE info:eu-repo/semantics/book