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We perform SubHalo Abundance Matching (SHAM) studies on UNIT simulations with\{$\sigma, V_{\rm ceil}, v_{\rm smear}$\}-SHAM and \{$\sigma, V_{\rmceil},f_{\rm sat}$\}-SHAM. They are designed to reproduce the clustering on5--30$\,\hmpc$ of Luminous Red Galaxies (LRGs), Emission Line Galaxies (ELGs)and Quasi-Stellar Objects (QSOs) at $0.4<z<3.5$ from DESI One Percent Survey.$V_{\rm ceil}$ is the incompleteness of the massive host (sub)haloes and is thekey to the generalized SHAM. $v_{\rm smear}$ models the clustering effect ofredshift uncertainties, providing measurments consistent with those from repeatobservations. A free satellite fraction $f_{\rm sat}$ is necessary to reproducethe clustering of ELGs. We find ELGs present a more complex galaxy--halo massrelation than LRGs reflected in their weak constraints on $\sigma$. LRGs, QSOsand ELGs show increasing $V_{\rm ceil}$ values, corresponding to the massivegalaxy incompleteness of LRGs, the quenched star formation of ELGs and thequenched black hole accretion of QSOs. For LRGs, a Gaussian $v_{\rm smear}$presents a better profile for sub-samples at redshift bins than a Lorentzianprofile used for other tracers. The impact of the statistical redshiftuncertainty on ELG clustering is negligible. The best-fitting satellitefraction for DESI ELGs is around 4 per cent, lower than previous estimationsfor ELGs. The mean halo mass log$_{10}(\langle M_{\rm vir}\rangle)$ in$\Msun{}$ for LRGs, ELGs and QSOs are ${13.16\pm0.01}$, ${11.90\pm0.06}$ and${12.66\pm0.45}$ respectively. Our generalized SHAM algorithms facilitate theproduction of mult-tracer galaxy mocks for cosmological tests.

The DESI One-Percent Survey: Exploring A Generalized SHAM for Multiple Tracers with the UNIT Simulation