Loveday, J., Peterson, B.A., Efstathiou, G. and Maddox, S.J., 1992, ApJ, 390, 338: The Stromlo-APM Redshift Survey I. The luminosity function and space density of galaxies

Normalisation of type-dependent LFs.

For the uncorrected Schechter fits, I calculate phi* = 1.30e-3 and 2.40e-2 for early & late types respectively. However, this is certainly an underestimate due to the fact that a significant number of galaxies near the survey limit were classified as uncertain instead of early or late type.

One correction is to scale the above phi* by the factor Ntot/(Ntot - Nunclass) = 1.27.

Probably a better correction is to reassign the unclassified galaxies as early or late type at _random_, but in the correct proportions (25% early) and then redo the whole LF analysis. I then get (again ignoring mag errors):

  E+S0                 Sp+irr
alpha = -0.46          -1.24
M* = -19.87            -19.56
phi* = 2.04e-3         1.15e-2

Assuming 0.3 mag gaussian random error:

  E+S0                 Sp+irr
alpha = -0.35          -1.06
M* = -19.71            -19.28
phi* = 2.25e-3         1.55e-2

Note that more reliable type-dependent LF parameters for Stromlo-APM galaxies are obtained using spectral classifications (Loveday, J., Tresse, L., & Maddox, S.J., 1999, MNRAS, 310, 281).

Fig 3 - SWML estimates for phi(M).

Columns are M, phi, phi_err, assuming h=1. NB: type-dependent estimates (b, c) are biased by classification incompleteness (more low-luminosity galaxies are unclassified than highly luminous galaxies).

Fig 3a (all galxs)

  -15.25000      1.5187124E-02  9.0499800E-03
  -15.75000      1.2280055E-02  6.3196020E-03
  -16.25000      1.2902144E-02  5.0649964E-03
  -16.75000      1.6725501E-02  4.3885051E-03
  -17.25000      1.1151771E-02  2.5285073E-03
  -17.75000      1.0601939E-02  1.6690197E-03
  -18.25000      1.0215948E-02  1.1410823E-03
  -18.75000      8.4352214E-03  7.5014087E-04
  -19.25000      6.5914509E-03  4.3498867E-04
  -19.75000      4.1942606E-03  2.3729294E-04
  -20.25000      2.3539935E-03  1.4023016E-04
  -20.75000      8.0246356E-04  6.9469221E-05
  -21.25000      2.0417637E-04  3.1515912E-05
  -21.75000      4.7949907E-05  1.4699549E-05

Fig 3b (E/S0)

  -15.25000      6.6100569E-05  9.4675655E-05
  -15.75000      6.8842957E-05  9.8101358E-05
  -16.25000      9.3260584E-05  1.0889580E-04
  -16.75000      1.2368165E-04  9.1753958E-05
  -17.25000      8.9504378E-05  6.1704020E-05
  -17.75000      7.4924792E-05  4.3475869E-05
  -18.25000      2.3170807E-04  7.8007237E-05
  -18.75000      3.3994659E-04  9.0416885E-05
  -19.25000      3.0730307E-04  7.0654482E-05
  -19.75000      4.3994925E-04  7.4816970E-05
  -20.25000      4.6763942E-04  6.6060427E-05
  -20.75000      2.7346140E-04  3.9449660E-05
  -21.25000      1.0846028E-04  2.3633484E-05
  -21.75000      4.6566540E-05  1.7970564E-05

Fig 3c (Sp/Irr)

  -15.25000      5.1827696E-03  3.7197422E-03
  -15.75000      4.2525497E-03  2.5594123E-03
  -16.25000      5.7543903E-03  2.5203612E-03
  -16.75000      6.4826310E-03  2.0912325E-03
  -17.25000      5.6112697E-03  1.4964821E-03
  -17.75000      4.5169354E-03  9.1578165E-04
  -18.25000      5.5325879E-03  7.5458072E-04
  -18.75000      4.2110351E-03  4.7613942E-04
  -19.25000      3.3932894E-03  2.9146875E-04
  -19.75000      2.3535704E-03  1.7170337E-04
  -20.25000      1.3642797E-03  1.0341377E-04
  -20.75000      4.7383740E-04  5.3764572E-05
  -21.25000      9.7726079E-05  2.2376393E-05
  -21.75000      2.0259524E-05  9.0718822E-06