For two centuries or so in Europe and more recently in the developing count
ries, major progress have occurring in the human life expectancy especially
thanks to the success of the fight against infectious diseases. This decis
ive change used to be known as the epidemiological transition. However, lif
e expectancy would not have continued to increase du the last three or four
decades in industrialised countries, without important progress on new fie
lds and especially in cardiovascular diseases, the reason why we progressiv
ely moved toward the broader concept of health transition, including not on
ly epidemiological changes but also the diversified type of response from t
he society towards health problems. In the same time, the demographic conse
quences of the increase in life expectancy have changed. In the first stage
, till the sixties about, the major decline in mortality was observed among
young children the consequence of which was to moderate the population agi
ng due to the fertility decline. life expectancy reaches about 60 years the
reverse phenomenon occurs: every further reduction of mortality affects ma
inly the adult and old part of the population and reinforces the demographi
c ageing process. What could happen in the next decades? Can life expectanc
y continue increasing? Until what limit, if any! With what consequences for
demographic ageing? No doubt that the XXIst century populations will be ve
ry different from any we knew until now.