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Table 1

Empirical Schechter parameters for the various surveys considered, ordered by redshift.

Redshift α log 10L log 10φ Delta-z Area Instr. Reference(s) Models

0.0225 −1.3 41.47 −2.78 0–0.045 471 prism Gallego et al. (1995) 1,2
0.07, 0.09 −1.59 41.65 −3.14 0.02 0.24 Narrow-band Ly et al. (2007) 1,2
0.2 −1.35 41.52 −2.56 0–0.3 0.03 CFHT Tresse & Maddox (1998) 1,2
0.24 −1.35 41.54 −2.65 0.02 1.54 Narrow-band Shioya et al. (2008) 1,2
0.24 −1.70 41.25 −2.98 0.02 0.24 Narrow-band Ly et al. (2007) 1,2

0.4 −1.28 41.29 −2.4 0.02 0.24 Narrow-band Ly et al. (2007) 1,2
0.4 −1.75 41.57 −3.12 0.02 2 Narrow-band HiZELS (Sobral et al. 2013)e 1,2,3
0.6 −1.27 41.72 −2.51 0.3–0.9 0.037 HST+WF3 WISP (Colbert et al. 2013) 1,2,3

0.73 −1.31 41.97 −2.319 0.5–1.1 0.031 ISAAC Tresse et al. (2002) 1,2
0.84 −1.56 41.92 −2.47 0.04 2 Narrow-band HiZELS (Sobral et al. 2013)e 1,2,3

1.05 −1.39 42.49 −2.948 0.7–1.4 0.029 HST+NICMOS Shim et al. (2009) 1,2,3
1.2 −1.43 42.18 −2.7 0.9–1.5 0.037 HST+WF3 WISP (Colbert et al. 2013) 1,2,3
1.25 −1.6 42.87 −3.11 0.7–1.8 0.0012 HST+NICMOS Hopkins et al. (2000) 1,2
1.3 −1.35 42.81 −2.801 0.7–1.9 0.018 HST+NICMOS Yan et al. (1999) 1,2,3

1.47 −1.62 42.23 −2.61 0.04 2 Narrow-band HiZELS (Sobral et al. 2013)e 1,2,3
1.65 −1.39 42.55 −2.768 0.7–1.9 0.029 HST+NICMOS Shim et al. (2009) c 1,2,3

2.23 −1.59 42.53 −2.78 0.04 2 Narrow-band HiZELS (Sobral et al. 2013)a 1,2,3
2.23 −1.72 43.22 −3.96 0.04 GOODS-S Narrow-band Hayes et al. (2010) b 1,2
2.23 −1.6 43.07 −3.45 Hayes et al. (2010) c 1,2
2.23 −1.35 42.83 −3.2 0.04 0.6 Narrow-band HiZELS (Geach et al. 2008)a,d 1,2

Notes. Units are Mpc-3 (φ), erg s-1 (L) and deg2 (Area).

(a)

The Sobral et al. (2013) analysis includes a superset of the fields used for the earlier HIZELS paper (Geach et al. 2008).

(b)

Hayes et al. (2010) results from their internal HAWK-I data.

(c)

Hayes et al. (2010) results from a joint fit including their internal HAWK-I data and the Geach et al. (2008) data.

(d)

In the original luminosity function the φ parameter quoted contains the conversion factor of ln10 (priv. comm. by authors).

(e)

We applied an aperture correction of + 0.02, + 0.07, + 0.07, and + 0.06 dex at z = 0.40, 0.84, 1.47, and 2.23, respectively.

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