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Title: Does jackknife scale really matter for accurate large-scale structure covariances?

Journal Article · · Monthly Notices of the Royal Astronomical Society

ABSTRACT The jackknife method gives an internal covariance estimate for large-scale structure surveys and allows model-independent errors on cosmological parameters. Using the SDSS-III BOSS CMASS sample, we study how the jackknife size and number of resamplings impact the precision of the covariance estimate on the correlation function multipoles and the error on the inferred baryon acoustic scale. We compare the measurement with the MultiDark Patchy mock galaxy catalogues, and we also validate it against a set of lognormal mocks with the same survey geometry. We build several jackknife configurations that vary in size and number of resamplings. We introduce the Hartlap factor in the covariance estimate that depends on the number of jackknife resamplings. We also find that it is useful to apply the tapering scheme to estimate the precision matrix from a limited number of resamplings. The results from CMASS and mock catalogues show that the error estimate of the baryon acoustic scale does not depend on the jackknife scale. For the shift parameter α, we find an average error of 1.6 per cent, 2.2 per cent and 1.2 per cent, respectively, from CMASS, Patchy, and lognormal jackknife covariances. Despite these uncertainties fluctuate significantly due to some structural limitations of the jackknife method, our α estimates are in reasonable agreement with published pre-reconstruction analyses. Jackknife methods will provide valuable and complementary covariance estimates for future large-scale structure surveys.

Sponsoring Organization:
USDOE
OSTI ID:
1805108
Journal Information:
Monthly Notices of the Royal Astronomical Society, Journal Name: Monthly Notices of the Royal Astronomical Society Journal Issue: 4 Vol. 505; ISSN 0035-8711
Publisher:
Oxford University PressCopyright Statement
Country of Publication:
United Kingdom
Language:
English

References (121)

L-PICOLA: A parallel code for fast dark matter simulation journal September 2015
Galaxy formation theory journal October 2010
Bootstrap Methods and their Application book January 1997
Galaxy Formation and Evolution book January 2010
Properties of galaxies reproduced by a hydrodynamic simulation journal May 2014
PTHALOS: a fast method for generating mock galaxy distributions journal January 2002
The pinocchio algorithm: pinpointing orbit-crossing collapsed hierarchical objects in a linear density field journal April 2002
The history of star formation in a   cold dark matter universe journal February 2003
Planck 2013 results. XVI. Cosmological parameters journal October 2014
Planck 2015 results : XIII. Cosmological parameters journal September 2016
Why your model parameter confidences might be too optimistic. Unbiased estimation of the inverse covariance matrix journal December 2006
The Sloan Digital Sky Survey Photometric System journal April 1996
Galaxy formation through hierarchical clustering journal September 1991
Bias and variance of angular correlation functions journal July 1993
Power-spectrum analysis of three-dimensional redshift surveys journal May 1994
The nonlinear evolution of rare events journal May 1994
Small‐Scale Cosmological Perturbations: An Analytic Approach journal November 1996
The Sloan Digital Sky Survey Photometric Camera journal December 1998
Baryonic Features in the Matter Transfer Function journal April 1998
Galaxy Clustering in Early Sloan Digital Sky Survey Redshift Data journal May 2002
The Halo Occupation Distribution: Toward an Empirical Determination of the Relation between Galaxies and Mass journal August 2002
Early Structure Formation and Reionization in a Cosmological Model with a Running Primordial Power Spectrum journal November 2003
HEALPix: A Framework for High‐Resolution Discretization and Fast Analysis of Data Distributed on the Sphere journal April 2005
The Luminosity and Color Dependence of the Galaxy Correlation Function journal September 2005
Theoretical Models of the Halo Occupation Distribution: Separating Central and Satellite Galaxies journal November 2005
Detection of the Baryon Acoustic Peak in the Large‐Scale Correlation Function of SDSS Luminous Red Galaxies journal November 2005
The 2.5 m Telescope of the Sloan Digital Sky Survey journal April 2006
The Stellar Content of Galaxy Halos: A Comparison between ΛCDM Models and Observations of M31 journal January 2008
Spectral Classification and Redshift Measurement for the Sdss-Iii Baryon Oscillation Spectroscopic Survey journal October 2012
The Multi-Object, Fiber-Fed Spectrographs for the Sloan Digital sky Survey and the Baryon Oscillation Spectroscopic Survey journal July 2013
Galaxy Clustering in the Completed sdss Redshift Survey: the Dependence on Color and Luminosity journal July 2011
Revising the Halofit Model for the Nonlinear Matter Power Spectrum journal December 2012
The Clustering of Galaxies in the Sdss-Iii Baryon Oscillation Spectroscopic Survey: Luminosity and Color Dependence and Redshift Evolution journal April 2013
A primer on hierarchical galaxy formation: the semi-analytical approach journal November 2006
The Eighth data Release of the Sloan Digital sky Survey: First data from Sdss-Iii journal March 2011
The Ninth data Release of the Sloan Digital sky Survey: First Spectroscopic data from the Sdss-Iii Baryon Oscillation Spectroscopic Survey journal November 2012
The Eleventh and Twelfth data Releases of the Sloan Digital sky Survey: Final data from Sdss-Iii journal July 2015
The Cosmic Linear Anisotropy Solving System (CLASS). Part II: Approximation schemes journal July 2011
Solving large scale structure in ten easy steps with COLA journal June 2013
Generating log-normal mock catalog of galaxies in redshift space journal October 2017
COLA with massive neutrinos journal October 2017
On the degeneracy between baryon feedback and massive neutrinos as probed by matter clustering and weak lensing journal January 2019
Notes on bias in Estimation journal January 1956
The jackknife-a review journal January 1974
A lognormal model for the cosmological mass distribution journal January 1991
The formation and evolution of galaxies within merging dark matter haloes* journal September 1993
Lagrangian theory of gravitational instability of Friedman-Lematre cosmologies - a generic third-order model for non-linear clustering journal April 1994
Hydrodynamical simulations of galaxy formation: effects of supernova feedback journal January 1997
Quantifying distortions of the Lagrangian dark-matter mesh in cosmology journal October 2012
The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: a large sample of mock galaxy catalogues journal October 2012
An efficient implementation of massive neutrinos in non-linear structure formation simulations journal November 2012
A dynamical model of supernova feedback: gas outflows from the interstellar medium journal October 2013
Mock galaxy catalogues using the quick particle mesh method journal November 2013
How sensitive are predicted galaxy luminosities to the choice of stellar population synthesis model? journal February 2014
Simulations of the galaxy population constrained by observations from z = 3 to the present day: implications for galactic winds and the fate of their ejecta journal April 2013
An accurate tool for the fast generation of dark matter halo catalogues journal June 2013
Introducing the Illustris Project: simulating the coevolution of dark and visible matter in the Universe journal August 2014
Introducing the Illustris project: the evolution of galaxy populations across cosmic time journal September 2014
The EAGLE project: simulating the evolution and assembly of galaxies and their environments journal November 2014
Chemoarchaeological downsizing in a hierarchical universe: impact of a top-heavy IGIMF journal December 2014
EZmocks: extending the Zel'dovich approximation to generate mock galaxy catalogues with accurate clustering statistics journal November 2014
A semi-analytic model comparison: testing cooling models against hydrodynamical simulations journal May 2014
nIFTy cosmology: Galaxy/halo mock catalogue comparison project on clustering statistics journal July 2015
Redshift-space clustering of SDSS galaxies – luminosity dependence, halo occupation distribution, and velocity bias journal September 2015
Improving the precision matrix for precision cosmology journal October 2015
SDSS-III Baryon Oscillation Spectroscopic Survey Data Release 12: galaxy target selection and large-scale structure catalogues journal November 2015
The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: mock galaxy catalogues for the BOSS Final Data Release journal January 2016
Constraining the halo bispectrum in real and redshift space from perturbation theory and non-linear stochastic bias journal April 2015
HALOGEN: a tool for fast generation of mock halo catalogues journal April 2015
The EAGLE simulations of galaxy formation: calibration of subgrid physics and model variations journal April 2015
The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: modelling the clustering and halo occupation distribution of BOSS CMASS galaxies in the Final Data Release journal April 2016
Galaxy assembly, stellar feedback and metal enrichment: the view from the gaea model journal June 2016
Building a better understanding of the massive high-redshift BOSS CMASS galaxies as tools for cosmology journal July 2016
FastPM: a new scheme for fast simulations of dark matter and haloes journal August 2016
Optimal weights for measuring redshift space distortions in multitracer galaxy catalogues journal August 2016
The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: observational systematics and baryon acoustic oscillations in the correlation function journal September 2016
Next generation cosmology: constraints from the Euclid galaxy cluster survey journal March 2016
Fast and accurate mock catalogue generation for low-mass galaxies journal April 2016
ICE-COLA: towards fast and accurate synthetic galaxy catalogues optimizing a quasi- N -body method journal April 2016
Physical drivers of galaxies’ cold-gas content: exploring environmental and evolutionary effects with Dark Sage journal June 2017
Galaxy clustering dependence on the [O ii] emission line luminosity in the local Universe journal August 2017
Simulating galaxy formation with the IllustrisTNG model journal October 2017
A new gas cooling model for semi-analytic galaxy formation models journal December 2017
The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological analysis of the DR12 galaxy sample journal March 2017
Semi-analytic galaxies – I. Synthesis of environmental and star-forming regulation mechanisms journal May 2018
A Detection of the Baryon Acoustic Oscillation features in the SDSS BOSS DR12 Galaxy Bispectrum journal May 2018
Dark matter statistics for large galaxy catalogues: power spectra and covariance matrices journal June 2018
Semi-analytic galaxies – III. The impact of supernova feedback on the mass–metallicity relation journal August 2018
Comparing approximate methods for mock catalogues and covariance matrices – I. Correlation function journal October 2018
Comparing approximate methods for mock catalogues and covariance matrices II: power spectrum multipoles journal February 2019
Cosmological structure formation with augmented Lagrangian perturbation theory journal August 2013
Modelling baryon acoustic oscillations with perturbation theory and stochastic halo biasing journal December 2013
Modelling the redshift-space three-point correlation function in SDSS-III journal March 2015
Renormalized cosmological perturbation theory journal March 2006
Constraining anisotropic baryon oscillations journal June 2008
The many lives of active galactic nuclei: cooling flows, black holes and the luminosities and colours of galaxies journal January 2006
Reconstruction of primordial density fields journal January 2006
Properties of galaxy groups in the Sloan Digital Sky Survey -- I. The dependence of colour, star formation and morphology on halo mass journal February 2006
Metal enrichment of the intracluster medium: a three-dimensional picture of chemical and dynamical properties journal June 2006
Breaking the hierarchy of galaxy formation journal August 2006
Statistical analysis of galaxy surveys - I. Robust error estimation for two-point clustering statistics journal June 2009
E pur si muove: Galilean-invariant cosmological hydrodynamical simulations on a moving mesh journal January 2010
A semi-analytic model comparison - gas cooling and galaxy mergers: A SAM comparison - cooling and mergers journal May 2010
From dwarf spheroidals to cD galaxies: simulating the galaxy population in a ΛCDM cosmology: Galaxy formation in a ΛCDM cosmology journal February 2011
The effect of thermally pulsating asymptotic giant branch stars on the evolution of the rest-frame near-infrared galaxy luminosity function: The rest-frame K-band luminosity function journal June 2011
The 6dF Galaxy Survey: baryon acoustic oscillations and the local Hubble constant: 6dFGS: BAOs and the local Hubble constant journal July 2011
Cosmic evolution of the atomic and molecular gas contents of galaxies: Evolution of the H i and H2 gas contents journal November 2011
Statistical analysis of galaxy surveys - IV. An objective way to quantify the impact of superstructures on galaxy clustering statistics: SAGS-IV: quantifying the impact of LSS on ξ journal October 2011
The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: analysis of potential systematics: Systematic analysis of BOSS 3D clustering journal June 2012
The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological implications of the large-scale two-point correlation function: Cosmological implications of the BOSS CMASS ξ( journal July 2012
A 2 per cent distance to z = 0.35 by reconstructing baryon acoustic oscillations – II. Fitting techniques : A 2 per cent distance to z = 0.35 journal November 2012
The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: baryon acoustic oscillations in the Data Release 9 spectroscopic galaxy sample journal December 2012
The impact of thermally pulsing asymptotic giant branch stars on hierarchical galaxy formation models journal June 2009
Theoretical Challenges in Galaxy Formation journal August 2017
Physical Models of Galaxy Formation in a Cosmological Framework journal August 2015
Covariance Tapering for Likelihood-Based Estimation in Large Spatial Data Sets journal December 2008
Polya Type Distributions IV. Some Principles of Selecting a Single Procedure from a Complete Class journal March 1958
Bootstrap Methods: Another Look at the Jackknife journal January 1979
A Detection of Baryon Acoustic Oscillations from the Distribution of Galaxy Clusters journal July 2016
Semi-Analytic Galaxy Evolution (Sage): Model Calibration and Basic Results journal February 2016
LSST: From Science Drivers to Reference Design and Anticipated Data Products journal March 2019