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Luminous red galaxies (LRGs) are one of the key tracers of the large-scalestructure of the Universe used by galaxy surveys. Hence, it is important tomake accurate predictions for their properties and clustering, including theerrors on these statistics. Here, we describe a novel technique which uses thesemi-analytical model of galaxy formation {\sc Galform}, embedded in thehigh-resolution $N$-body Planck-Millennium simulation, to populate a thousandhalo catalogues generated using the Parallel-PM $N$-body {\sc glam} code. Ourhybrid scheme allows us to make clustering predictions on scales that cannot bemodelled in the original $N$-body simulation. LRGs are selected in the redshiftrange $z=0.6-1$ from the {\sc Galform} output using similar colour-magnitudecuts in the $r$, $z$ and $W1$ bands to those that will be applied in the DarkEnergy Spectroscopic Instrument (DESI) survey. We find that the LRG-haloconnection is non-trivial, leading to the prediction of a non-standard halooccupation distribution; in particular, the occupation of central galaxies doesnot reach unity for the most massive haloes, and drops with increasing mass.The {\sc glam} catalogues reproduce the abundance and clustering of the LRGspredicted by {\sc Galform}, and show good agreement with recent measurements ofthe clustering of DESI-like LRGs using photometric redshifts. We use the\glam{} mocks to compute the covariance matrices for the two-point correlationfunction and power spectrum of the LRGs and their background dark matterdensity field, revealing important differences. We also make predictions forthe linear-growth rate and the baryon acoustic oscillations distances at$z=0.6$, $0.74$ and $0.93$. All DESI-like LRG catalogues are made publiclyavailable.

Building a digital twin of a luminous red galaxy spectroscopic survey: galaxy properties and clustering covariance