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We present measurements of the redshift-dependent clustering of a DESI-likeluminous red galaxy (LRG) sample selected from the Legacy Survey imagingdataset, and use the halo occupation distribution (HOD) framework to fit theclustering signal. The photometric LRG sample in this study contains 2.7million objects over the redshift range of $0.4 < z < 0.9$ over 5655 deg$^2$.We have developed new photometric redshift (photo-$z$) estimates using theLegacy Survey DECam and WISE photometry, with $\sigma_{\mathrm{NMAD}} = 0.02$precision for LRGs. We compute the projected correlation function using newmethods that maximize signal-to-noise ratio while incorporating redshiftuncertainties. We present a novel algorithm for dividing irregular surveygeometries into equal-area patches for jackknife resampling. For afive-parameter HOD model fit using the MultiDark halo catalog, we find thatthere is little evolution in HOD parameters except at the highest redshifts.The inferred large-scale structure bias is largely consistent with constantclustering amplitude over time. In an appendix, we explore limitations ofMarkov chain Monte Carlo fitting using stochastic likelihood estimatesresulting from applying HOD methods to N-body catalogs, and present a newtechnique for finding best-fit parameters in this situation. Accompanying thispaper we have released the Photometric Redshifts for the Legacy Surveys (PRLS)catalog of photo-$z$'s obtained by applying the methods used in this work tothe full Legacy Survey Data Release 8 dataset. This catalog provides accuratephotometric redshifts for objects with $z < 21$ over more than 16,000 deg$^2$of sky.

The Clustering of DESI-like Luminous Red Galaxies Using Photometric Redshifts