{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Forward Modelling from Tracer Luminosity Function" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this tutorial, we demonstrate how one could compute certain quantities from the tracer luminosity function (LF) using the ``lumfunc_modeller`` module." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Visualise the luminosity function surface" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To get hold of the demo data (a parameter file for the LF model), we use the ``get_test_data_loc`` function from the ``utils`` module." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from horizonground.utils import get_test_data_loc\n", "\n", "demo_parameter_file = get_test_data_loc(\"eBOSS_QSO_LF_PLE_model_fits.txt\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Just to show the contents of the file: there is a comment line with $\\mathrm{\\LaTeX}$ strings for the parameter names and a comma-demilited line for the parameter values." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "# m_\\ast(z_\\mathrm{p}), \\Delta{m_\\ast(z_\\mathrm{p})}, \\lg\\Phi_\\ast, \\Delta\\lg\\Phi_\\ast, \\alpha_\\mathrm{l}, \\Delta\\alpha_\\mathrm{l}, \\alpha_\\mathrm{h}, \\Delta\\alpha_\\mathrm{h}, \\beta_\\mathrm{l}, \\Delta\\beta_\\mathrm{l}, \\beta_\\mathrm{h}, \\Delta\\beta_\\mathrm{h}, k_{1\\mathrm{l}}, \\Delta{k_{1\\mathrm{l}}}, k_{1\\mathrm{h}}, \\Delta{k_{1\\mathrm{h}}}, k_{2\\mathrm{l}}, \\Delta{k_{2\\mathrm{l}}}, k_{2\\mathrm{h}}, \\Delta{k_{2\\mathrm{h}}}\n", "-26.71, 0.15, -6.01, 0.07, -4.31, 0.26, -3.04, 0.12, -1.54, 0.04, -1.38, 0.07, -0.08, 0.08, -0.25, 0.09, -0.40, 0.05, -0.05, 0.06\n", "\n" ] } ], "source": [ "with open(demo_parameter_file, 'r') as f:\n", " print(f.read())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will adopt the *pure luminosity evolution* (PLE) model for the quasar luminosity function with ``Planck15`` cosmology. First, load the modeller class ``LumFuncModeller`` and ``quasar_PLE_lumfunc``. Note that we need to specify the brightness variable (luminosity $L$ or magnitude $m$) for the luminosity function. The threshold here is given as an apparent magnitude, which we convert to an absolute magnitude at redshift ``normalisation_redshift=2`` by setting ``normalise_thresold=True``. We use the classmethod ``from_parameter_file`` to instantiate this class, which under the hood converts ``demo_parameter_file`` shown above to a dictionary of keyword arguments values passed to the ``model_lumfunc``." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "from astropy.cosmology import Planck15\n", "from horizonground.lumfunc_modeller import LumFuncModeller, quasar_PLE_lumfunc\n", "\n", "PLE_modeller = LumFuncModeller.from_parameter_file(\n", " parameter_file=demo_parameter_file,\n", " model_lumfunc=quasar_PLE_lumfunc,\n", " brightness_variable='magnitude',\n", " threshold_value=22.5,\n", " normalise_threshold=True,\n", " normalisation_redshift=2.,\n", " cosmology=Planck15\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see the attrbibutes of this modeller holding the input parameters:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{'brightness_variable': 'magnitude',\n", " 'model_parameters': {'\\\\Delta\\\\alpha_\\\\mathrm{h}': 0.12,\n", " '\\\\Delta\\\\alpha_\\\\mathrm{l}': 0.26,\n", " '\\\\Delta\\\\beta_\\\\mathrm{h}': 0.07,\n", " '\\\\Delta\\\\beta_\\\\mathrm{l}': 0.04,\n", " '\\\\Delta\\\\lg\\\\Phi_\\\\ast': 0.07,\n", " '\\\\Delta{k_{1\\\\mathrm{h}}}': 0.09,\n", " '\\\\Delta{k_{1\\\\mathrm{l}}}': 0.08,\n", " '\\\\Delta{k_{2\\\\mathrm{h}}}': 0.06,\n", " '\\\\Delta{k_{2\\\\mathrm{l}}}': 0.05,\n", " '\\\\Delta{m_\\\\ast(z_\\\\mathrm{p})}': 0.15,\n", " '\\\\alpha_\\\\mathrm{h}': -3.04,\n", " '\\\\alpha_\\\\mathrm{l}': -4.31,\n", " '\\\\beta_\\\\mathrm{h}': -1.38,\n", " '\\\\beta_\\\\mathrm{l}': -1.54,\n", " '\\\\lg\\\\Phi_\\\\ast': -6.01,\n", " 'base10_log': False,\n", " 'k_{1\\\\mathrm{h}}': -0.25,\n", " 'k_{1\\\\mathrm{l}}': -0.08,\n", " 'k_{2\\\\mathrm{h}}': -0.05,\n", " 'k_{2\\\\mathrm{l}}': -0.4,\n", " 'm_\\\\ast(z_\\\\mathrm{p})': -26.71}}\n" ] } ], "source": [ "from pprint import pprint\n", "\n", "pprint(PLE_modeller.attrs)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can now visualise the LF as a surface over $(m, z)$ coordinates." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import seaborn as sns\n", "from mpl_toolkits import mplot3d\n", "\n", "NUM_MESH = 100\n", "MAGNITUDE_RANGE = -29.0, -20.6\n", "REDSHIFT_RANGE = 0.25, 3.\n", "DENSITY_RANGE = pow(10, -9.225), pow(10, -4.775)\n", "\n", "magnitudes = np.linspace(*MAGNITUDE_RANGE, num=NUM_MESH, endpoint=False)\n", "redshifts = np.linspace(*REDSHIFT_RANGE, num=NUM_MESH, endpoint=False)\n", "\n", "m_grid, z_grid = np.meshgrid(magnitudes, redshifts)\n", "Phi_grid = PLE_modeller.luminosity_function(m_grid, z_grid)\n", "\n", "fig = plt.figure(\"Luminosity function surface\", figsize=(7, 4.5), dpi=100)\n", "ax = plt.axes(projection='3d')\n", "\n", "ax.plot_surface(m_grid, z_grid, Phi_grid, cmap=sns.cubehelix_palette(as_cmap=True), edgecolor='none')\n", "\n", "ax.set_xlabel(r\"$m$\", labelpad=10)\n", "ax.set_ylabel(r\"$z$\", labelpad=10)\n", "\n", "ax.set_zscale('log')\n", "ax.set_zlim(*DENSITY_RANGE)\n", "ax.set_zticks([pow(10, -5), pow(10, -6)])\n", "ax.set_zlabel(r\"$\\Phi(m,z)$ [$\\mathrm{Mpc}^{-3} \\mathrm{mag}^{-1}$]\", labelpad=2);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Further, we can derive the comoving number density, evolution bias and magnification bias at, say, redshift $z = 2$." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$\\displaystyle \\text{Comoving number density: }\\bar{n} = 0.00002\\ (h/\\textrm{Mpc})^3$" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/latex": [ "$\\displaystyle \\text{Evolution bias: }b_\\textrm{e} = -0.381$" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/latex": [ "$\\displaystyle \\text{Magnification bias: }s = 0.086$" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from IPython.display import display, Math\n", "\n", "display(Math(\n", " r\"\\text{Comoving number density: }\" + \n", " r\"\\bar{{n}} = {:.5f}\\ (h/\\textrm{{Mpc}})^3\".format(PLE_modeller.comoving_number_density(2.))\n", "))\n", "display(Math(\n", " r\"\\text{Evolution bias: }\" + \n", " r\"b_\\textrm{{e}} = {:.3f}\".format(PLE_modeller.evolution_bias(2.))\n", "))\n", "display(Math(\n", " r\"\\text{Magnification bias: }\" + \n", " r\"s = {:.3f}\".format(PLE_modeller.magnification_bias(2.))\n", "))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Customise your own luminosity function" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One could define one's own LF in the form of a Python function ``lum_func(lum, redshift, example_kwarg=None``) and pass it to the modeller class ``LumFuncModeller``. Note that we are not using the classmethod ``from_parameter_file`` as we will pass the keyword arguments manually.\n", "\n", "Note that the luminosity function should return a value in the unit of $\\textrm{Mpc}^{-3}$. We also recommend that you add a boolean keyword parameter ``base10_log``, so that when it is ``True`` the function returns base-10 logarithmic values." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "def custom_lum_func(m, z, base10_log=False, dummy_kwarg='off'):\n", " if dummy_kwarg == 'off':\n", " return m * z\n", " else:\n", " return m + z\n", " \n", "custom_modeller = LumFuncModeller(\n", " custom_lum_func, dict(dummy_kwarg='off'),\n", " brightness_variable='magnitude', threshold_value=-20, cosmology=Planck15\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Similarly, we can calculate the evolution and magnification bias." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$\\displaystyle \\text{Evolution bias: }b_\\textrm{e} = -1.500$" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/latex": [ "$\\displaystyle \\text{Magnification bias: }s = -0.003$" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "display(Math(\n", " r\"\\text{Evolution bias: }\" + \n", " r\"b_\\textrm{{e}} = {:.3f}\".format(custom_modeller.evolution_bias(2.))\n", "))\n", "display(Math(\n", " r\"\\text{Magnification bias: }\" + \n", " r\"s = {:.3f}\".format(custom_modeller.magnification_bias(2.))\n", "))" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.5" } }, "nbformat": 4, "nbformat_minor": 2 }