Volume 9 - Article 5 | Pages 81–110
A system of model fertility schedules with graphically intuitive parameters
|Date received:||28 May 2003|
|Date published:||10 Oct 2003|
|Keywords:||age-specific fertility rate (ASFR), age-specific rates, Coale-Trussell model, estimation, fertility, models, splines|
|Additional files:||All Files (zip) (zip file, 323 kB)|
|FILE I QS Model (Excel file, 88 kB)|
|FILE II CT and QS fits to international schedules (pdf file, 226 kB)|
|FILE III CT and QS fits to international schedules (Excel file, 80 kB)|
|FILE IV QS fits to Swedish time series (Excel file, 132 kB)|
|Weblink:||Please also see the new software with publication 12-5.|
I propose and examine a new family of models for age-specific fertility schedules, in which three index ages determine the schedule's shape. The new system is based on constrained quadratic splines. It has easily interpretable parameters, is flexible enough to fit a variety of "noiseless" schedules well, and is inflexible enough to avoid implausible estimates from noisy data. Across a set of over two hundred contemporary ASFR schedules, the new model fits a majority better, and in some cases much better, than the Coale-Trussell model.
When fit to a recent Swedish time series, model parameters exhibit simple, regular changes over time, suggesting utility in forecasting applications. In simulated small-sample data the new model produces plausible ASFR estimates, with errors similar to Coale-Trussell.
Carl Schmertmann - Florida State University, United States of America
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