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Probabilistic fertility models of the life table type
Authors:J M Hoem
Affiliation:1. Department of Urban Planning, UCLA Luskin School of Public Affairs, Los Angeles, CA 90095-1656, USA;2. School of Urban Planning, University of Tehran, Tehran 1416634793, Iran;3. VA Los Angeles and UCLA National Clinician Scholars Program, VA Greater Los Angeles Healthcare System HSR&D Center of Innovation, 11301 Wilshire Blvd, Building 500, Los Angeles, CA 90073, USA;4. David Geffen School of Medicine at UCLA, UCLA Fielding School of Public Health, UCLA Center for Healthy Climate Solutions, UCLA Center for Public Health and Disasters, Los Angeles, CA 90095-1772, USA;5. Department of Environmental Health Sciences, UCLA Fielding School of Public Health, Los Angeles, CA 90095-1772, USA;1. Service d''Automatique et d''Analyse des Systèmes, Université Libre de Bruxelles, Av. F.D. Roosvelt 50, CP 165/55, 1050 Brussels, Belgium;2. Dipartimento di Scienze Agrarie e Forestali, Università degli Studi della Tuscia, Via San Camillo de Lellis snc, 01100 Viterbo, Italy;3. IFAB, CONICET/INTA, Modesta Victoria 4450, San Carlos de Bariloche, Rio Negro, Argentina;4. Dipartimento di Scienze Ecologiche e Biologiche, Università degli Studi della Tuscia, Via San Camillo de Lellis snc, 01100 Viterbo, Italy;1. Department of Biochemistry, Abia State University, PMB 2000, Uturu, Abia State, Nigeria;2. Department of Nutrition, Sheffield Hallam University, United Kingdom;3. Department of Microbiology, Abia State University, PMB 2000, Uturu, Abia State, Nigeria;4. Department of Biochemistry, Covenant University, PMB 1023, Ota, Ogun State, Nigeria
Abstract:In this paper, a series of fertility models are presented as progressive extensions of the basic ideas behind the life table. Dimensions like age, parity, marital status, birth interval, and marital status duration are introduced in turn, and interrelations between the various models are indicated. The main arguments are developed in connection with a model which includes age- and parity-specificity.The various net (influenced) and gross (partial) fertility measures are given some consideration. It turns out that retrospective fertility investigations give rise to a third kind of functions, which are denoted purged measures. These are parallel to but conceptually distinct from the gross measures. The introduction of the purged measures seems to throw some light on aspects of the theory which have previously appeared problematic.The models are formulated in terms of transition probabilities rather than survivorship functions. In a final section, it is argued that the latter are superfluous and even potentially harmful.
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