CASE STUDY: Chinese Population Model
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Source:
Harte, J., 1985, Consider a spherical cow, William Kaufmann, Inc., Los Altos, California, pp. 216-223.
Background:
In 1980, the Chinese population was about 109. Shortly thereafter, China set froth a goal of reducing its population to 7 x 108. To accomplish this, China is strongly encouraging one-child families.
Modeling Task:
How long will it take China to achieve this goal under the following assumptions:
- Sex-specific differences in the death rates and age distribution of the population can be ignored.
- The age-specific death rates do not change.
- A one-child-per-family policy begins at the start of 1980. In each decade from 1980 onward, until the population reaches 7 x 108, half the woman who were in the age group 10-19 at the start of the decade, and half who were in the age group 20-29, have a child.
- At the start of 1980, the age distribution and age-specific death rates (deaths per year per thousand of the population of specified age) are:
Age Group | Number (x 106) | Age-Specific Death Rate |
0-9 | 235 | 7.90 |
10-19 | 224 | 0.98 |
20-29 | 182 | 1.60 |
30-39 | 124 | 2.50 |
40-49 | 95 | 4.80 |
50-59 | 69 | 11.00 |
60-69 | 42 | 27.00 |
70-79 | 24 | 63.00 |
>80 | 6 | 145.00 |
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