DOI: 10.1371/journal.pone.0013371.s001
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Abstract: Assume an individual who faces two kinds of hazards of dying each year: Extrinsic hazards occur with probability m and cannot be mitigated by behavior, whereas intrinsic hazards occur with probability i, but i depends on the amount of preventative health behavior performed, h. Specifically:The total probability of dying in a year is thus a function of the amount of health behavior performed, and is given by:which is:Thus, life expectancy is given by:The relationship between h and l(h) is plotted in figure 1a …

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