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Parameterizing age patterns of demographic rates with the multiexponential model schedule
Mathematical Population Studies
|February 1, 1994
Summary
Model schedules, like the multiexponential function, summarize mortality, fertility, and migration patterns. This study examines the flexibility and fit of the multiexponential function for demographic data analysis.
Area of Science:
- Demography
- Actuarial Science
- Statistics
Background:
- For two centuries, researchers have sought parametric models for age patterns in demographic rates.
- Model schedules are crucial for summarizing and analyzing mortality, fertility, and migration data.
Purpose of the Study:
- To illustrate the multiexponential function as a general functional form for model schedules.
- To examine the behavior of the multiexponential function based on parameter variations.
- To assess the goodness-of-fit of this function to empirical demographic data.
Main Methods:
- Utilized the multiexponential function as a flexible model schedule.
- Analyzed parameter variations to understand function behavior.
- Tested the function's fit against observed mortality, fertility, and migration data.
Main Results:
- The multiexponential function demonstrates adaptability across different demographic rates.
- Parameter changes significantly alter the function's shape, reflecting diverse age patterns.
- The function provides a good fit to observed mortality, fertility, and migration schedules.
Conclusions:
- The multiexponential function is a versatile tool for modeling demographic rates.
- This parametric approach aids in summarizing and understanding population dynamics.
- Further research can explore applications in actuarial science and statistical demography.