the interpretation of the results compared with the use of the auto CF of the subsamples.

The evolution of halo assembly bias {#Sec:HAB}
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There are two basic ingredients necessary for galaxy assembly bias: (i) halo assembly bias, namely the dependence of halo clustering on halo properties other than mass, and (ii) the variation in the galaxy content of haloes with these properties, which we refer to as the occupancy variation (see Z18). Galaxy assembly bias requires both effects to be present. In this paper, we study how halo assembly bias, the occupancy variation and the resulting galaxy assembly bias evolve with time. This will provide further insight into the nature and origin of assembly bias and may guide attempts to detect it in observational galaxy samples. We show the evolution of halo assembly bias in this Section. The evolution of the occupancy variation is discussed in Section \[Sec:OV\], and the evolution of galaxy assembly bias is presented in Section \[Sec:GAB\].

First we look at the evolution of halo assembly bias in the dark matter-only $N$-body simulation without reference to the SAM galaxies. We begin with a visual inspection of the distribution of haloes in the simulation. Fig. \[Fig:CW\] shows 