Table 2: Magnitude intervals that we used to divide the overall sample into subsamples with well-defined magnitude limits and corresponding areas for the z and Ks bands. See also Figs. 3 and 4. $\it MAGLIM1$ and $\it MAGLIM2$ (in magnitudes per sq. arcsec) define the limits of each magnitude bin. $\it MAGTOT$ is the corresponding limit for the total magnitude of the objects, obtained using the simulations described in Sect. 3.2.
FILTER MAGLIM1 MAGLIM2 AREA MAGTOT

$1\sigma$ $1\sigma$ $\rm arcmin^2$

z 26.65 27.65 7.16667 24.65

z 27.65 27.85 6.40742 25.65

z 27.85 27.95 15.4276 25.85

z 27.95 28.10 89.9600 25.95

z 28.10 28.18 10.3641 26.10

z 28.18 28.90 13.8741 26.18

Ks 24.70 26.08 10.7698 21.60

Ks 26.08 26.20 8.95936 22.98

Ks 26.20 26.50 40.5733 23.10

Ks 26.50 26.70 38.2161 23.40

Ks 26.70 26.90 34.8572 23.60

Ks 26.90 27.10 9.82067 23.80

**Table 2:** Magnitude intervals that we used to divide the overall sample into subsamples with well-defined magnitude limits and corresponding areas for the z and Ks bands. See also Figs. 3 and 4. $\it MAGLIM1$ and $\it MAGLIM2$ (in magnitudes per sq. arcsec) define the limits of each magnitude bin. $\it MAGTOT$ is the corresponding limit for the total magnitude of the objects, obtained using the simulations described in Sect. 3.2.
FILTER	MAGLIM1	MAGLIM2	AREA	MAGTOT
	$1\sigma$	$1\sigma$	$\rm arcmin^2$
z	26.65	27.65	7.16667	24.65
z	27.65	27.85	6.40742	25.65
z	27.85	27.95	15.4276	25.85
z	27.95	28.10	89.9600	25.95
z	28.10	28.18	10.3641	26.10
z	28.18	28.90	13.8741	26.18
Ks	24.70	26.08	10.7698	21.60
Ks	26.08	26.20	8.95936	22.98
Ks	26.20	26.50	40.5733	23.10
Ks	26.50	26.70	38.2161	23.40
Ks	26.70	26.90	34.8572	23.60
Ks	26.90	27.10	9.82067	23.80

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