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It may well be that at age 80/100/etc there is some change in each person which leaves them less suseptible to death. However, this is not the only explanation. It might just be that the people who survive to age 80 were 'bullet-proof' to begin with; that's the reason they survived until age 80.
Here's an example which might illustrate how people can stay constant but death rates change. Imagine a hypothetical world where:
1) Cancer is the only cause of death.
2) The probability of a person getting cancer in a given year is fixed for that individual.
3) Half of all people born will get cancer in a given year with probability 50% (high risk) and the other half with probability 10% (low risk).
4) As soon as you get cancer, you die.
Under these parameters, lets run a simulation.
We begin with a population of 1000 High Risk People and 1000 Low Risk People.
Year 1: (1000 High, 1000 Low)
500 High Risk People Die (50% of 1000)
100 Low Risk People Die (10% of 1000)
Population cancer rate - 30% - (600/2000 * 100)
Year 2: (500 High, 900 Low)
250 High Risk People Die (50% of 500)
90 Low Risk People Die (10% of 900)
Population cancer rate - 24% - (340/1400 * 100)
Year 3: (250 High, 810 Low)
125 High Risk People Die (50% of 250)
81 Low Risk People Die (10% of 810)
Population cancer rate - 19% - (206/1060 * 100)
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So we can see that each year the populations cancer rate is decreasing. This isn't a result of change in the individuals. Rather, it's a result in the change in the make up of the population. The high risk people are dying off and so not contributing so much to the population cancer rate.
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Granted I haven't read the paper by Rose so perhaps his data suggests this method of population growth isn't occurring. Just something to keep in mind though.
[Posted by: alex at June 6, 2008 1:14 AM]
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