If we accept that the PNLF method yields accurate distances, it seems
odd, at first, that the errors from population differences and
extinction aren't larger. A potentially
dominant population effect is age, as discussed already. The key point
is that intermediate age populations all produce nearly identical
central star masses. This follows from the initial-to-final mass relation
(Weidemann (1987)).
That is, for progenitor masses between
1 and 2 M
corresponding to ages of about 1 to 10 Gyr, the central star mass will
be in the narrow range of ~ 0.58 ± 0.02
M
. This narrow
range is close to that observed for white dwarfs
(McMahon (1989)).
Another important effect arises in young (< 0.5 Gyr) populations to
inhibit [OIII] luminous PN from forming.
Kaler & Jacoby (1991)
showed, and
Dopita et al. (1997)
confirmed, that for young progenitors producing central stars more
massive than 0.65
M
, the surface
abundances are strongly altered such that nitrogen is greatly enhanced.
The added nitrogen competes with oxygen in cooling the nebula, to the
detriment of the [OIII] luminosity. Thus, PN deriving from young,
massive progenitors fail to populate
the high luminosity end of the PNLF and the effect of a young population
on the PNLF is lost.
Similarly, metallicity seems like it ought to play a large role. A
competition exists,
though, between the efficiency of the nebula to radiate in [OIII] and
the luminosity input
from the central star. Higher metallicity values enhance the nebula's
ability to radiate
at
5007. The central star,
however, is predicted to have a lower mass and luminosity as
a consequence of experiencing higher mass loss prior to leaving the
AGB. The reduced heating compensates to first order for the enhanced
radiative efficiency as metallicity increases
(Dopita et al. (1992)).