Fig. A.1.

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Example of the detectability interpolation and smoothing for the catalogue-level simulation in the second distance bin with d in the range of [21.5, 46.4] kpc. Detection of satellites within this distance range is binned as a function of MV and rh as shown in subplot A. A total of 1497 mock satellites are plotted as scatters in the MV − rh map in subplot B. The 2D interpolation is applied to generate the full detection efficiency map, as shown in subplot C. We apply a Gaussian kernel to smooth the map, with the 50% detectability limit plotted in red in subplot D, and the fitted limit plotted in yellow.
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