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14
The result of this analysis is shown in figure 6, along with the age-20 curve from figure 5. It
shows that
e The long-term tendency is toward a rate of roughly 2% in all cases. Thus, conclusions about
the interest rate are unaffected by the difference between these models.
e When consumption affects survival (i.e. when y = 0), the curve differs little from that of the
earlier analysis.
e When consumption affects fertility, the discount function peaks in the late thirties and early
forties.
I’m not sure what to make of this. Perhaps:
® young people are prone to risk their lives in return for immediate gratification (fast driving,
sky diving, high crime rates), but middle aged people are more prone to take risks affecting
fertility.
References
[1] Elizabeth A. Cashdan. Natural fertility, birth spacing, and the “first demographic transition”.
American Anthropologist, 87(3):650-653, Sept. 1985.
[2] Brian Charlesworth. Evolution in Age-Structured Populations. Cambridge University Press,
Cambridge, England, 1980.
[3] Ansley J. Coale and Paul Demeny. Regional Model Life Tables and Stable Populations.
Academic Press, New York, 2nd edition, 1983.
[4] Ansley J. Coale and T. J. Trussell. Model fertility schedules: Variations in the age structure
of childbearing in human populations. Population Index, 40(2):185—258, April 1974.
[5] James F. Crow and Motoo Kimura. An Introduction to Population Genetics Theory. Harper
and Row, New York, 1970.
[6] Mahjoub A. El-Faedy and Lee L. Bean. Differential paternity in Libya. Journal of Biosocial
Science, 19(4):395-403, Oct. 1987.
[7] Caleb E. Finch. Longevity, Senescence, and the Genome. University of Chicago Press,
Chicago, 1990.
[8] Ronald A. Fisher. The Genetical Theory of Natural Selection. Dover, New York, 2nd edition,
1958.
[9] William D. Hamilton. The genetical evolution of social behavior, I. Journal of Theoretical
Biology, 7(1):1-16, July 1964.
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