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We model the high redshift (z > 5) Lyman-$\alpha$ emitting (LAE) galaxypopulation using the empirical rest-frame equivalent width distribution. Wecalibrate to the observed luminosity function and angular correlation functionat z = 5.7 as measured by the SILVERRUSH survey. This allows us to populate thehigh-dynamic-range Sherwood simulation suite with LAEs, and to calculate thetransmission of their Ly $\alpha$ emission through the inter-galactic medium(IGM). We use this simulated population to explore the effect of the IGM onhigh-redshift observations of LAEs, and make predictions for the narrowbandfilter redshifts at z = 6.6, 7.0 and 7.3. Comparing our model with existingobservations, we find a late reionization is suggested, consistent with therecent low optical depth derived from the cosmic microwave background (CMB) bythe Planck collaboration and the opacity fluctuations in the Ly $\alpha$forest. We also explore the role of the circum-galactic medium (CGM) and thelarger volume of gas which is infalling onto the host halo versus the IGM inattenuating the Ly $\alpha$ signal, finding that a significant fraction of theattenuation is due to the CGM and infalling gas, which increases towards theend of reionization, albeit with a large scatter across the mock LAEpopulation.

Modelling the observed luminosity function and clustering evolution of Lyman-$\alpha$ emitters: growing evidence for late reionization