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Constrained cosmological simulations play an important role in modelling thelocal Universe, enabling investigation of the dark matter content of localstructures and their formation histories. We introduce a method for determiningthe extent to which individual haloes are reliably reconstructed betweenconstrained simulations, and apply it to the Constrained Simulations in BORG(CSiBORG) suite of $101$ high-resolution realisations across the posteriorprobability distribution of initial conditions from the Bayesian OriginReconstruction from Galaxies (BORG) algorithm. The method is based on theoverlap of the initial Lagrangian patch of a halo in one simulation with thosein another, and therefore measures the degree to which the haloes' particlesare initially coincident. By this metric we find consistent reconstructions of$M\gtrsim10^{14}~M_\odot / h$ haloes across the CSiBORG simulations, indicatingthat the constraints from the BORG algorithm are sufficient to pin down themasses, positions and peculiar velocities of clusters to high precision. Theeffect of the constraints tapers off towards lower mass however, and the halospins and concentrations are largely unconstrained at all masses. We documentthe advantages of evaluating halo consistency in the initial conditions,describe how the method may be used to quantify our knowledge of the halo fieldgiven galaxy survey data analysed through the lens of probabilistic inferencemachines such as BORG, and describe applications to matched but unconstrainedsimulations.

Evaluating the reconstruction of individual haloes in constrained cosmological simulations