REVIEW 4 major objections 5 minor 2 cited by
The ASTRID Simulation at z=0: From Massive Black Holes to Large-scale Structure
T0 review · 4 major / 5 minor · reviewed 2026-08-04 · deepseek-v4-flash
Pith's one-line read This paper presents the z=0 state of the ASTRID cosmological simulation and argues that its population of massive black holes genuinely co-evolves with host galaxies, reproducing observed black-hole–galaxy scaling relations and their scatte
desk verdict A solid z=0 simulation characterization with a valuable public data release; the LF 'agreement' is partly calibrated rather than predictive, and the abstract overclaims, but the resource is worth refereeing. read the letter →
The pith
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
The reading
What carries the argument
The load-bearing element is the subgrid dynamical-friction model plus a 'dynamical mass' M_dyn=1e7 h^-1 Msun assigned to freshly seeded black holes. The friction force dissipates the momentum of black holes moving through unresolved stars and dark matter, so their orbits decay toward the halo center; M_dyn prevents the lightest seeds (3e4–3e5 Msun) from being artificially kicked around by numerical heating. Together these replace the older black-hole repositioning algorithm, giving black holes physical trajectories and merger criteria based on separation and gravitational binding. The paper argues this mechanism is what allows a realistic diversity of black hole masses to survive in galaxies
What would settle it
Count the frequency of low-mass (1e6–1e8 Msun) central black holes in galaxies with M* ~ 1e10.5–1e11 Msun. ASTRID predicts this population is common; if deep X-ray or optical surveys show such galaxies almost always host black holes above 1e8 Msun, or almost never host black holes this small, the claimed scatter and diversity would be contradicted. Alternatively, run ASTRID with all seeds at a single mass instead of stochastic seed masses and compare the scatter of the M_BH–M* relation: if the scatter collapses, the stochastic seeding is doing the work.
Extended reading notes
Core claim
ASTRID is claimed to reproduce, at z=0, the co-evolution of massive black holes and their host galaxies: the scaling relations between central black hole mass and galaxy stellar mass, and between black hole mass and stellar velocity dispersion, agree with observations, and the scatter in these relations is substantially closer to observed scatter than in earlier large-volume simulations. The authors attribute this to treating black hole dynamics through a subgrid dynamical-friction force and omitting the usual repositioning algorithm, so black holes sink and merge more naturally. Beyond the scaling relations, the paper reports a black hole mass function matching observations above about 1e7
Load-bearing premise
The load-bearing premise is that the ad hoc numerical choices for seeding and subgrid black-hole dynamics—the small stochastic seed masses and the artificial dynamical mass M_dyn=1e7 h^-1 Msun used to prevent numerical heating—produce real black-hole behavior rather than artificial scatter; the authors themselves note in Section 6.2 that some results are partly determined by their seeding prescription.
Editorial extensions
If this is right
- ASTRID's public catalogs can be used to predict massive-black-hole merger rates and gravitational-wave source populations for LISA and pulsar timing arrays.
- The z=0 black hole population, including wandering black hole occupation numbers, offers a test bed for interpreting AGN surveys and their luminosity functions.
- The massive groups and clusters in ASTRID provide a census of central-galaxy, satellite, and intracluster-light stellar masses that can be compared with X-ray and optical cluster surveys.
- Massive black holes above ~1e8 Msun and galaxies above ~1e10.5 Msun are reliable large-scale-structure tracers; their power spectra can be compared with observed clustering to constrain cosmology.
- The predicted presence of ~20 wandering black holes in 1e11 Msun galaxies and over 1000 in 1e12 Msun galaxies means future X-ray observations may see off-center AGN in massive galaxies.
Reading between the lines
- A direct test of the seeding prescription: if a twin run with uniform seed masses or a lower M_dyn drastically changes the scaling-relation scatter and occupation numbers, the claimed diversity is driven by the numerical choice rather than by realistic dynamics. The authors themselves acknowledge that some results are partly determined by their seeding prescription.
- The z=0 overabundance of small black holes (below 1e7 Msun) and the deficit of bright AGN (LX > 1e45 erg/s) are places where next-generation X-ray surveys could falsify or confirm the subgrid accretion and feedback model.
- The stable bias of 1e8-Msun black holes at z=0 suggests that future gravitational-wave source catalogs, once cross-correlated with galaxy surveys, could constrain cosmology—but only if the black-hole–galaxy connection remains this tight at higher redshifts.
- The sSFR and quiescent-fraction discrepancies around M* ~ 1e10.5–1e11 Msun imply that lowering the kinetic-feedback critical mass would shift the quiescent transition to lower stellar masses; this is a testable consequence of the current feedback threshold.
Signed reviews
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. This paper presents the z=0 output of the ASTRID cosmological SPH simulation (370 Mpc box, ~0.33 trillion particles), focusing on the massive black hole (MBH) population and its connection to galaxies and large-scale structure. It describes the subgrid MBH model (seeding, dynamical mass M_dyn, dynamical friction, Bondi accretion, two-mode AGN feedback), then compares z=0 MBH mass functions, AGN X-ray luminosity functions, M_BH-M* and M_BH-sigma relations, BH occupation statistics, and BH mass/accretion-rate densities with observations. It also reports the galaxy stellar mass function, sSFR, sizes, metallicities, dust-attenuated luminosity function and g-r colors, cluster stellar content, and MBH/galaxy clustering bias. The paper concludes that ASTRID captures MBH-galaxy co-evolution, reproduces the galaxy luminosity function after dust attenuation, hosts a large cluster population, and provides useful large-scale-structure tracers. Several tensions are acknowledged, including an overestimated z=0 BH accretion-rate density, a low quiescent fraction, and a 0.5 dex deficit near the stellar mass function knee.
Significance. If the results are robust, ASTRID is a major public resource for MBH and gravitational-wave science: it combines a large volume, low seed masses, full MBH trajectories, and a >3 million merger catalog, with direct applicability to LISA, PTA, and X-ray survey planning. The paper is unusually transparent about known disagreements, and it provides publicly available catalogs. The main caveats are that the MBH scaling-relation and scatter claims depend on unvaried subgrid choices, especially M_dyn and the seed mass distribution, and that the dust-attenuated luminosity-function and color results are calibrated to the same SDSS luminosity functions used for the comparison. These issues do not negate the value of the simulation, but they are load-bearing for the paper's headline claims.
major comments (4)
- [§4.3, Eq. (6), Fig. 15 (right), Fig. 16] The dust attenuation normalization κ_ISM is set to 10^3.0 by calibrating against observed SDSS u, g, r luminosity functions (Driver et al. 2012; Loveday et al. 2012). The right panel of Fig. 15 then presents the dust-attenuated luminosity function as being in 'good agreement' with those same observations. As written, this is a fit, not a prediction. The g−r color bimodality in Fig. 16 inherits the same calibration and therefore cannot be cited as independent support. Please either reframe these results as a calibrated post-processing model, or provide an out-of-sample test (e.g., a different photometric band, a different redshift, or number counts) that would demonstrate predictive power.
- [§2.1.1–§2.1.2, §3.3, §6.2] Seeds are drawn stochastically from 3×10^4–3×10^5 h^−1 M_sun, but each seed is assigned a dynamical mass M_dyn = 10^7 h^−1 M_sun that is used for the gravitational force and the dynamical friction calculation until M_BH exceeds M_dyn. Thus early BH orbital decay, merging, and accretion are controlled by a constant that is 30–300 times the true seed mass. The paper cites Chen et al. (2022b) and Zhou et al. (2025b) for validation of the dynamical friction prescription, but no test is presented for the sensitivity of z=0 scaling relations, scatter, or occupation numbers to the value of M_dyn or to the seed mass draw. Given that §6.2 concedes that the clustering results are 'partly determined by our BH seeding prescription,' the headline M_BH–M* and M_BH–σ claims require either a convergence/sensitivity test or an explicit statement of which observables are robust to this choice.
- [§3.3, Figs. 6–7] The claim that ASTRID's scatter in the M_BH–M* and M_BH–σ relations is 'more consistent with observations than previous simulations' is supported only by visual comparison with gray observational contours. No quantitative measure of scatter is provided, and the observational contours include heterogeneous samples with different selection functions and measurement errors. Please provide a quantitative comparison, for example the rms scatter in log M_BH at fixed M* or σ, with observational errors accounted for, to justify this specific claim.
- [§3.5, Fig. 10; §4.2, Fig. 15 (left)] The paper acknowledges a >1 dex overestimate of the z=0 BH accretion-rate density and a 0.5 dex deficit near the stellar mass function knee, as well as a too-low quiescent fraction at M* ≈ 5×10^10 M_sun. These are not fatal by themselves, but they involve the same AGN feedback mechanisms used to explain the M_BH–M*/σ relations. The conclusion that ASTRID 'successfully captures the co-evolution' of MBHs and galaxies would be more convincing if the paper explicitly discussed how these tensions are related to the claimed co-evolution success, or tempered the headline claim accordingly.
minor comments (5)
- [§2.1.4] Typo: 'istropically' should be 'isotropically'.
- [§2, §5.1] Typographical issues: 'with with' near the halo description in §2, and 'which which' in §5.1.
- [§4.1] 'M_cric' in the sSFR discussion should be 'M_crit'.
- [§4.3] The MILES stellar library is cited as 'Miller et al. 2015', but the reference list entry Miller et al. (2015) is the AGN occupation sample used in §3.4. Please check this citation; the MILES library should be credited to the appropriate original papers.
- [§4.3, Fig. 16] The figure caption refers to a legend for the color-coded mass bins, but no legend is visible in the printed figure; please make the mass-bin color coding explicit in the caption or figure.
Circularity Check
Dust-attenuated galaxy LF is calibrated to the same observations it claims to match, but the central MBH, galaxy, and clustering results are independent
-
fitted input called prediction
[Abstract; Section 4.3, Eq. (6); right panel of Fig. 15]
"κISM is a calibration parameter which we set to 10^3.0 by calibrating against observed galaxy luminosity functions in the SDSS u,g, and r bands (Driver et al. 2012; Loveday et al. 2012). After applying the dust attenuation, ASTRID produces a luminosity function in good agreement with the observational constraints."
The gray points in the right panel of Fig. 15 are from Driver et al. (2012) and Loveday et al. (2012), the same SDSS u,g,r luminosity functions used to set κISM in Eq. (6). The u-band LF shown is one of the three calibration targets, so the reported 'good agreement' is a calibration residual, not an independent prediction. The abstract presents it as a successful validation ('the galaxy luminosity function also agrees well with observations'), but for this specific quantity the fitted parameter and the claimed agreement are the same input.
full rationale
The core ASTRID claims are largely independent external comparisons: the M_BH-M* and M_BH-sigma relations, BH mass function, AGN XLF, SMHM relation, and MBH/galaxy bias are outputs of the simulation and are not tuned to those observations. The seeding and dynamical-friction parameters are fixed subgrid choices in Sections 2.1.1-2.1.2; the paper even cautions in Section 6.2 that the results are 'partly determined by our BH seeding prescription.' That is an honest model-dependence caveat, not circularity, because those parameters were not fit to the target observables. Self-citations to Chen et al. (2022b) and Zhou et al. (2025b) are normal continuation of a simulation program and are not used to forbid alternatives or to invoke an unverified uniqueness theorem; an external validation (Genina et al. 2024) is also cited for the dynamical friction model. The one clear reduction is the dust-attenuated galaxy luminosity function: κISM is calibrated to the SDSS u,g,r LFs, and Fig. 15 plus the abstract then advertise agreement with those same LFs. This is a fitted-input-called-prediction in a secondary headline result, so it raises the circularity score, but the central MBH co-evolution, group/cluster budget, and clustering analyses remain self-contained.
Assumptions & free parameters
free parameters (8)
- Bondi accretion boost alpha =
100
- BH seed mass range =
3e4-3e5 h^-1 M_sun, stochastic
- Dynamical mass M_dyn =
1e7 h^-1 M_sun
- Radiative efficiency eta =
0.1 (0.2 variant)
- Kinetic-feedback critical mass M_crit =
5e8 h^-1 M_sun
- AGN feedback efficiencies =
0.05 high-accretion; eps_f,kin <=0.05
- Dust attenuation normalization kappa_ISM =
10^3
- Dust attenuation slope gamma =
-1.0
assumptions (6)
- domain assumption Bondi-Hoyle accretion formula with boost alpha=100 approximates unresolved BH accretion.
- domain assumption The Tremmel et al. (2015)/Chen et al. (2022) dynamical friction prescription correctly estimates unresolved drag.
- domain assumption The dust attenuation model with power-law tau_ISM and calibrated kappa_ISM captures line-of-sight extinction.
- domain assumption FOF/SUBFIND and spherical-overdensity definitions correspond to observable halos and galaxies.
- domain assumption FSPS/PARSEC/MILES stellar population synthesis converts star particles to luminosities accurately.
- domain assumption Subgrid models calibrated in earlier ASTRID papers remain valid at z=0.
Cite this review
Pith. "Pith review of The ASTRID Simulation at z=0: From Massive Black Holes to Large-scale Structure." pith.science (2026). https://pith.science/paper/LS645R5T
@misc{pith2026251013976,
author = {Pith},
title = {Pith review of: The ASTRID Simulation at z=0: From Massive Black Holes to Large-scale Structure},
year = {2026},
howpublished = {\url{https://pith.science/paper/LS645R5T}},
note = {Machine review of arXiv:2510.13976}
}
abstract
We present the $z=0$ results for the cosmological simulation ASTRID. Hosting $2\times 5500^3\approx$ 0.33 trillion particles in a box of $370\, {\rm Mpc}$ per side, ASTRID is one of the largest cosmological hydrodynamic simulations evolved to $z=0$. ASTRID features a large population of massive black holes (MBHs), covering a wide mass range $4\times10^{4}\sim 2\times 10^{11}\ M_{\odot}$. The adopted dynamical friction model provides a relatively accurate description of MBH dynamics, making ASTRID a powerful tool to study MBH growth and mergers in a cosmological context. ASTRID successfully captures the co-evolution of MBHs and their host galaxies, producing $M_{\rm BH}-M_{\star}$ and $M_{\rm BH}-\sigma$ relations in good agreement with observations. Notably, ASTRID generates scatter in these relations that is more consistent with observations than previous simulations, indicating a more realistic MBH diversity. The galaxy stellar mass function at $z=0$ is generally consistent with observational constraints. When dust attenuation is applied, the galaxy luminosity function also agrees well with observations, and the bimodality in galaxy colors is reproduced as well. ASTRID hosts a large population of massive galaxy groups and clusters: 7 halos have $M_{\rm 200c}>10^{15}\ M_{\odot}$, and 9709 halos have $M_{\rm 200c}>10^{13}\ M_{\odot}$. We quantify the stellar mass content in these halos, and find that the correlations between the stellar and halo mass match well with observational constraints. Finally, we present the $z=0$ power spectra of MBH and galaxies, as well as their bias with respect to the matter power spectrum. We find that MBHs with $M_{\rm BH}\geq 10^{8}\ M_{\odot}$ and galaxies with $M_{\star}\geq 10^{10.5}\ M_{\odot}$ serve as good tracers of large-scale structure.
Figures
Figures from the paper (21 more)
Forward citations
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Reference graph
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