A short note on the taeuber paradox

When the force of mortality is reduced by a constant fraction 0 at every age, the relative increase in life expectancy e(0) can be measured by δH, where H is determined by the l(a) values of the life table. Although H is not easily reducible in terms of the well-known life table parameters, it has been shown that it can be approximately estimated by 2 – e(0)/à in which d is the average age of the stationary population. It has been found that, for a given value of 0, the relative gain in life expectancy is less appreciable in countries with larger values of e(0).