This paper investigates birth-date dependent principles for social eva
luation in an intertemporal framework in which population size may var
y. WP weaken the strong Pareto principle in order to allow individuals
' birth dates to matter in establishing a social ordering. Using the a
xiom independence of the utilities of the dead, we characterize popula
tion principles with a recursive structure. If the individual substitu
tion principle and an individual intertemporal equivalence axiom are a
dded. birth-date dependent generalizations of the critical-level gener
alized utilitarian principles result. Stationarity leads to the specia
l case of geometric discounting. (C) 1997 Academic Press.