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Table A.1.

Comparison between the measured and inferred (SHAMe-SF) galaxy–(halo) connection for DESI-TNG and DESI-SAM.

Property DESI-TNG SHAMe-SF DESI-SAM SHAMe-SF
Satellite fractions (subhaloes)
FoF+SUBFIND definition 36.9% 30 . 7 3.4 + 10.5 $ 30.7^{+10.5}_{-3.4} $% 14.5% 11 . 2 2.2 + 2.3 $ 11.2^{+2.3}_{-2.2} $%
Satellites only when r < r200c 25.7% 24 . 2 0.3 + 3.6 $ 24.2^{+3.6}_{-0.3} $% 3.8% 4 . 4 1.1 + 1.2 $ 4.4^{+1.2}_{-1.1} $%

Halo fractions hosting:
Only centrals 63.6% 70 . 7 9.7 + 1.6 $ 70.7^{+1.6}_{-9.7} $% 85.0% 87 . 7 2.3 + 2.2 $ 87.7^{+2.2}_{-2.3} $%
Only satellites 32.1% 24 . 3 2.0 + 12.8 $ 24.3^{+12.8}_{-2.0} $% 12..9% 9 . 6 1.7 + 2.2 $ 9.6^{+2.2}_{-1.7} $%
Centrals and satellites 4.4% 4 . 9 0.5 + 3.5 $ 4.9^{+3.5}_{-0.5} $% 2.1% 2 . 6 0.3 + 0.4 $ 2.6^{+0.4}_{-0.3} $%
Centrals and satellites (sat. shuffling) 3 . 2 0.1 + 0.1 $ 3.2^{+0.1}_{-0.1} $% 3 . 1 0.3 + 1.0 $ 3.1^{+1.0}_{-0.3} $% 2 . 3 0.3 + 0.3 $ 2.3^{+0.3}_{-0.3} $% 1 . 0 0.2 + 0.2 $ 1.0^{+0.2}_{-0.2} $%
More than one satellite 3.6% 2 . 4 0.2 + 2.0 $ 2.4^{+2.0}_{-0.2} $% 0.6% 0 . 3 0.1 + 0.2 $ 0.3^{+0.2}_{-0.1} $%
More than one satellite (r < r200c) 2.0% 1 . 9 0.2 + 0.4 $ 1.9^{+0.4}_{-0.2} $% 0.0% 0 . 0 0.0 + 0.0 $ 0.0^{+0.0}_{-0.0} $%

Average halo masses, log ( M h , i / h 1 M ) $ \langle \log(M_{h,\rm{i}}/{ h^{-1}\text{ M}_{\odot}}) \rangle $:
Hosting centrals 11.9 12 . 1 0.2 + 0.1 $ 12.1^{+0.1}_{-0.2} $ 11.9 12 . 0 0.1 + 0.0 $ 12.0^{+0.0}_{-0.1} $
Hosting satellites 12.9 13 . 0 0.2 + 0.1 $ 13.0^{+0.1}_{-0.2} $ 12.9 12 . 6 0.2 + 0.1 $ 12.6^{+0.1}_{-0.2} $
Hosting only centrals 11.9 12 . 1 0.2 + 0.1 $ 12.1^{+0.1}_{-0.2} $ 11.9 11 . 9 0.1 + 0.0 $ 11.9^{+0.0}_{-0.1} $
Hosting only satellites 13.0 13 . 1 0.3 + 0.1 $ 13.1^{+0.1}_{-0.3} $ 12.9 12 . 7 0.2 + 0.1 $ 12.7^{+0.1}_{-0.2} $
Hosting centrals and satellites 12.2 12 . 5 0.3 + 0.2 $ 12.5^{+0.2}_{-0.3} $ 12.3 12 . 2 0.1 + 0.1 $ 12.2^{+0.1}_{-0.1} $

Satellite distribution in host halo mass bins (100% = all satellites)
r < rmin fit 31.7% 57 . 0 20.9 + 2.2 $ 57.0^{+2.2}_{-20.9} $% 2.4% 14 . 8 2.6 + 4.3 $ 14.8^{+4.3}_{-2.6} $%
r > rmin fit, Mh/h−1M < 1012 7.1% 4 . 2 0.9 + 12.7 $ 4.2^{+12.7}_{-0.9} $% 19.4% 22 . 1 3.8 + 8.4 $ 22.1^{+8.4}_{-3.8} $%
r > rmin fit, 1012 < Mh/h−1M < 1012.5 22.9% 10 . 8 1.2 + 10.2 $ 10.8^{+10.2}_{-1.2} $% 36.6% 35 . 5 7.2 + 0.4 $ 35.5^{+0.4}_{-7.2} $%
r > rmin fit, 1012.5 < Mh/h−1M < 1013 21.0% 20 . 5 7.5 + 1.5 $ 20.5^{+1.5}_{-7.5} $% 23.8% 17 . 3 3.5 + 3.0 $ 17.3^{+3.0}_{-3.5} $%
r > rmin fit, 1013 < Mh/h−1M < 1014 16.3% 3 . 5 1.4 + 7.6 $ 3.5^{+7.6}_{-1.4} $% 16.6% 7.3 % 3.5 + 4.0 $ 7.3\%^{+4.0}_{-3.5} $%

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