{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Computing mass functions, halo biases and concentrations\n", "This notebook illustrates how to compute mass functions, halo biases and concentration-mass relations with CCL, as well as how to translate between different mass definitions." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from matplotlib import pyplot as plt\n", "import pyccl as ccl\n", "import logging\n", "mpl_logger = logging.getLogger('matplotlib')\n", "mpl_logger.setLevel(logging.WARNING)\n", "pil_logger = logging.getLogger('PIL')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Preliminaries\n", "Generate a cosmology object and a few mass/redshift arrays" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# Cosmology\n", "cosmo = ccl.Cosmology(Omega_b=0.0492, Omega_c=0.2650, h=0.6724, A_s=2.2065e-09, n_s=0.9645)\n", "\n", "# Array of masses\n", "m_arr = np.geomspace(1.01E12,1E15,128)/cosmo['h']\n", "\n", "# Array of redshifts\n", "z_arr = np.linspace(0.,1.,16)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Mass definitions\n", "CCL admits 3 different classes of definitions:\n", "- Spherical overdensity (SO). The mass is defined as that enclosed by a radius within which the mean density is a factor $\\Delta$ larger than the matter or critical density ($x$ is either $M$ or ${\\rm crit}$: \n", "\n", "\\begin{equation}\n", " M_{\\Delta,x} = \\frac{4\\pi}{3}\\Delta\\rho_x R_{\\Delta,x}^3\n", "\\end{equation},\n", "- Virial spherical overdensity. The same as SO for the specific choice $\\Delta=\\Delta_{\\rm vir}(z)$ and $x={\\rm critical}$, where $\\Delta_{\\rm vir}$ is the virial overdensity, which CCL computes from Brian & Norman 1998.\n", "- Friends-of-friends masses (fof).\n", "\n", "CCL is able to translate masses assuming an NFW profile. This is only an approximation, and it's actually better to make sure you use consistent mass definitions throughout, but this functionality is provided for convenience.\n", "\n", "These mass definition objects can then be passed around to all halo-model functions to make sure masses are treated consistently.\n", "\n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# Delta=200 (matter).\n", "hmd_200m = ccl.halos.MassDef200m\n", "\n", "# Delta=200 (critical).\n", "hmd_200c = ccl.halos.MassDef200c\n", "\n", "# Delta=500 (matter).\n", "hmd_500m = ccl.halos.MassDef(500, 'matter')\n", "\n", "# Virial overdensity\n", "hmd_vir = ccl.halos.MassDefVir\n", "\n", "# FoF mass definition\n", "hmd_fof = ccl.halos.MassDefFof" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that associating concentration-mass relations with mass definitions is only necessary if you'll want to translate between different mass definitions. Otherwise, you can use any concentration-mass relation you want for a given mass definition as we show further down (even if that c(M) relation is not the one you used to initialize the corresponding mass definition object)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Mass functions\n", "Mass functions are computed through classes that inherit from the `MassFunc` class. CCL supports a wide variety of mass function parametrizations, but more can be created following the instructions in the documentation.\n", "\n", "All mass functions have a mass definition attached to them. Some mass functions support a range of mass definitions, and you can select which one you want when instantiating the class. All mass functions have default mass definitions, which are used if `None` is passed (which is the case below)." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "initialize cosmo_class\n", "Initialize pklin emulator\n", "initialize propagator emulator\n", "Initialize sigma_d emulator\n", "initialize cross-correlation emulator\n", "initialize auto-correlation emulator\n", "Initialize sigmaM emulator\n", "initialize xinl emulator\n" ] }, { "data": { "image/png": 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", "text/plain": [ "<Figure size 640x480 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "hmfs = []\n", "# Press & Schechter mass function\n", "hmfs.append(ccl.halos.MassFuncPress74(mass_def=hmd_fof))\n", "\n", "# Sheth & Tormen mass function\n", "hmfs.append(ccl.halos.MassFuncSheth99(mass_def=hmd_fof))\n", "\n", "# Tinker 2008 mass function\n", "hmfs.append(ccl.halos.MassFuncTinker08(mass_def=hmd_200m))\n", "\n", "# Tinker 2010 mass function\n", "hmfs.append(ccl.halos.MassFuncTinker10(mass_def=hmd_200m))\n", "\n", "# Bocquet 2016 mass function\n", "hmfs.append(ccl.halos.MassFuncBocquet16(mass_def=hmd_200m))\n", "\n", "# Nishimichi 2019 mass function\n", "# To use this mass function you need the dark emulator: \n", "# https://dark-emulator.readthedocs.io/en/latest/\n", "hmfs.append(ccl.halos.MassFuncNishimichi19(mass_def=hmd_200m,extrapolate=True))\n", "\n", "# Let's plot all of them at z=0\n", "plt.figure()\n", "for mf in hmfs:\n", " nm = mf(cosmo, m_arr, 1.)\n", " plt.plot(m_arr,\n", " m_arr * nm, label=mf.name)\n", "plt.xscale('log')\n", "plt.ylim([1E9,8.5E9])\n", "plt.legend()\n", "plt.xlabel(r'$M/M_\\odot$', fontsize=14)\n", "plt.ylabel(r'$M\\,\\frac{dn}{d\\log_{10}M}\\,[M_\\odot\\,{\\rm Mpc}^{-3}]$',\n", " fontsize=14);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's explore the time evolution of the mass function" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "<Figure size 640x480 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Look at time evolution\n", "from matplotlib.pyplot import cm\n", "\n", "hmf_200m = ccl.halos.MassFuncTinker08(mass_def=hmd_200m)\n", "plt.figure()\n", "plt.title(r'$0<z<1$',fontsize=14)\n", "for z in z_arr:\n", " nm = hmf_200m(cosmo, m_arr, 1./(1+z))\n", " plt.plot(m_arr,\n", " m_arr * nm, c=cm.autumn(z))\n", "plt.xscale('log')\n", "plt.ylim([5E8,7E9])\n", "plt.xlabel(r'$M/M_\\odot$',fontsize=14)\n", "plt.ylabel(r'$M\\,\\frac{dn}{d\\log_{10}M}\\,[M_\\odot\\,{\\rm Mpc}^{-3}]$',\n", " fontsize=14);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Halo bias\n", "Similar comments apply to the different halo bias parametrizations supported by CCL." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "<Figure size 640x480 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "hbfs = []\n", "# Sheth & Tormen 1999\n", "hbfs.append(ccl.halos.HaloBiasSheth99())\n", "\n", "# Sheth & Tormen 2001\n", "hbfs.append(ccl.halos.HaloBiasSheth01())\n", "\n", "# Bhattacharya 2011\n", "hbfs.append(ccl.halos.HaloBiasBhattacharya11())\n", "\n", "# Tinker 2010\n", "hbfs.append(ccl.halos.HaloBiasTinker10())\n", "\n", "# Let's plot all of them at z=0\n", "plt.figure()\n", "for bf in hbfs:\n", " bm = bf(cosmo, m_arr, 1.)\n", " plt.plot(m_arr, bm, label=bf.name)\n", "plt.xscale('log')\n", "plt.legend()\n", "plt.xlabel(r'$M/M_\\odot$', fontsize=14)\n", "plt.ylabel(r'$b_h(M)$', fontsize=14);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Concentration-mass relation\n", "Concentration-mass relations work in a similar way" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "<Figure size 640x480 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cmrs = []\n", "# Diemer 2015\n", "cmrs.append(ccl.halos.ConcentrationDiemer15())\n", "\n", "# Bhattacharya 2013\n", "cmrs.append(ccl.halos.ConcentrationBhattacharya13())\n", "\n", "# Prada 2012\n", "cmrs.append(ccl.halos.ConcentrationPrada12())\n", "\n", "# Klypin 2011\n", "cmrs.append(ccl.halos.ConcentrationKlypin11())\n", "\n", "# Duffy 2008\n", "cmrs.append(ccl.halos.ConcentrationDuffy08())\n", "\n", "# Let's plot all of them at z=0\n", "plt.figure()\n", "for cmr in cmrs:\n", " cm = cmr(cosmo, m_arr, 1.)\n", " plt.plot(m_arr, cm, label=cmr.name)\n", "plt.xscale('log')\n", "plt.legend()\n", "plt.xlabel(r'$M/M_\\odot$', fontsize=14)\n", "plt.ylabel(r'$c(M)$', fontsize=14);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Convenience functions\n", "It is possible to select mass functions, halo biases and concentration-mass relation from their name as follows" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "<class 'pyccl.halos.hmfunc.tinker08.MassFuncTinker08'>\n", "<class 'pyccl.halos.hbias.tinker10.HaloBiasTinker10'>\n", "<class 'pyccl.halos.concentration.duffy08.ConcentrationDuffy08'>\n" ] } ], "source": [ "nm = ccl.halos.MassFunc.from_name('Tinker08')\n", "bm = ccl.halos.HaloBias.from_name('Tinker10')\n", "cm = ccl.halos.Concentration.from_name('Duffy08')\n", "print(nm)\n", "print(bm)\n", "print(cm)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Mass conversion\n", "The lines below show how to convert between different mass definitions (and the consequences of doing so). First, we generate mass function objects for $\\Delta=200$ and $500$. Then, we compute the mass function using both parametrizations, but for masses defined using $\\Delta=200$ (the $\\Delta=500$ mass function will use the concentration-mass relation to translate masses from $\\Delta=200$ to $\\Delta=500$ automatically). As you can see, doing so incurrs a systematic error of up to ~20%." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "<Figure size 640x480 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Let's define a mass function object for Delta = 500 (matter)\n", "hmf_500m = ccl.halos.MassFuncTinker08(mass_def=hmd_500m)\n", "\n", "# Now let's compare the mass function parametrized for 200 (matter)\n", "# with the mass function parametrized for 500 (matter) but\n", "# translated to 200 (matter)\n", "hmf_200m = ccl.halos.MassFuncTinker08(mass_def=hmd_200m)\n", "\n", "mass_trans = ccl.halos.mass_translator(mass_in=hmd_200m, mass_out=hmd_500m, \n", " concentration=ccl.halos.ConcentrationDuffy08(mass_def=hmd_200m))\n", "\n", "m500 = mass_trans(cosmo, m_arr, 1.)\n", "\n", "nM_200m = hmf_200m(cosmo, m_arr, 1.)\n", "nM_200m_trans = hmf_500m(cosmo, m500, 1.)\n", "\n", "plt.figure()\n", "plt.plot(m_arr, nM_200m_trans/nM_200m-1)\n", "plt.xscale('log')\n", "plt.xlabel(r'$M/M_\\odot$',fontsize=14)\n", "plt.ylabel('Error from mass translation',\n", " fontsize=14);" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "ccl-dev-darkemu", "language": "python", "name": "ccl-dev-darkemu" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.18" } }, "nbformat": 4, "nbformat_minor": 4 }