From Jeff Newman --
To recap: I have taken the code Alison Coil used to produce redshift
distributions for her recent
w(theta) paper
and made a couple of modifications: adding a z^2 exp(-(z/z0)^1.2) fit,
in addition to the existing z^2 exp(-(z/z0)) ; and doing fits as a
function of R magnitude, as well as I (because the faintest I bins
are incomplete, since redshifts are obtained only for objects with
R_AB < 24.1, we can get robust results over a broader magnitude range
in R than I). Alison's code applies lowest-order corrections for
target selection as a function of magnitude; it will be possible to
do somewhat better in the long term, but that will take a fair amount
of time. I would not consider these numbers definitive, but I'd
certainly expect them to be good to 10% at worst.
All magnitudes are AB in the native CFHT 12k filter system. Note that
these filters yield response curves somewhat different from standard
R and I.
Note the strong agreement between the numbers for the two fits for
mean and median z. To go from z0 to mean z, I have used multipliers
of 3 and 2.09 for power 1 and 1.2, respectively; to go from z0 to
median z, I have used 2.67 and 1.91.
I have attempted to extrapolate these numbers to fainter magnitudes;
those extrapolations need to be taken with a huge grain of salt. A
linear relation fits the trend of z0 vs. limiting magnitude extremely
well (a linear fit has an RMS error in z0 corresponding to 0.01 in
predicting mean or median z), which is certainly suggestive, but I
would be absolutely shocked if those trends continued to R=28, for
a variety of reasons.
The results are:
mag ^1 fit ^1.2 fit
range median median
18 median median
18 1.1 will be lost)
** highly incomplete (objects around I~24 with R-I > 0.1 (!!!) will be lost)
extrapolated:
18