{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "# Photometric redshifts\n", "\n", "This example simulates galaxies with a simple photometric redshift model.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Setup\n", "The simplest galaxies-only GLASS simulation, sampling galaxies using some\n", "redshift distribution. Then add a model for photometric redshifts with\n", "Gaussian errors.\n", "\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "# almost all GLASS functionality is available from the `glass` namespace\n", "import glass\n", "\n", "# how many arcmin2 over the entire sphere\n", "ARCMIN2_SPHERE = 60**6 // 100 / np.pi\n", "\n", "# creating a numpy random number generator for sampling\n", "rng = np.random.default_rng(seed=42)\n", "\n", "# galaxy density\n", "n_arcmin2 = 1e-4\n", "\n", "# photometric redshift error at redshift 0\n", "phz_sigma_0 = 0.05\n", "\n", "# parametric galaxy redshift distribution\n", "z = np.linspace(0, 3, 301)\n", "dndz = n_arcmin2 * glass.smail_nz(z, 1.0, 2.2, 1.5)\n", "\n", "# compute the over galaxy number density on the sphere\n", "ngal = np.trapezoid(dndz, z)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Simulation\n", "Simulate true and photometric redshifts.\n", "\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# sample the number (not density) of galaxies from the Poisson distribution\n", "n = rng.poisson(ngal * ARCMIN2_SPHERE)\n", "\n", "# sample n true redshifts\n", "ztrue = glass.redshifts_from_nz(n, z, dndz, rng=rng, warn=False)\n", "\n", "# sample n photometric redshifts\n", "zphot = glass.gaussian_phz(ztrue, phz_sigma_0, rng=rng)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Plots\n", "Make a couple of typical photometric redshift plots.\n", "\n", "First the $z$-vs-$z$ plot across the entire sample. The simple\n", "Gaussian error model only has the diagonal but no catastrophic outliers.\n", "\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(5, 5))\n", "plt.plot(ztrue, zphot, \"+k\", ms=3, alpha=0.1)\n", "plt.xlabel(r\"$z_{\\rm true}$\", size=12)\n", "plt.ylabel(r\"$z_{\\rm phot}$\", size=12)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now define a number of photometric redshift bins. They are chosen by the\n", ":func:`~glass.equal_dens_zbins` function to produce the same\n", "number of galaxies in each bin.\n", "\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "nbins = 5\n", "zbins = glass.equal_dens_zbins(z, dndz, nbins)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "After the photometric bins are defined, make histograms of the *true* redshift\n", "distribution $n(z)$ using the *photometric* redshifts for binning. Use\n", "the :func:`~glass.tomo_nz_gausserr()` function to also plot the\n", "expected tomographic redshift distributions with the same model.\n", "\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tomo_nz = glass.tomo_nz_gausserr(z, dndz, phz_sigma_0, zbins)\n", "tomo_nz *= ARCMIN2_SPHERE * (z[-1] - z[0]) / 40\n", "\n", "for (z1, z2), nz in zip(zbins, tomo_nz):\n", " plt.hist(\n", " ztrue[(z1 <= zphot) & (zphot < z2)],\n", " bins=40,\n", " range=(z[0], z[-1]),\n", " histtype=\"stepfilled\",\n", " alpha=0.5,\n", " )\n", " plt.plot(z, nz, \"-k\", lw=1, alpha=0.5)\n", "plt.xlabel(\"true redshift $z$\")\n", "plt.ylabel(\"number of galaxies\")\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": ".venv", "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": "3.12.7" } }, "nbformat": 4, "nbformat_minor": 0 }