{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# ELAIS-S1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# ELAIS-S1 Photometric Redshifts - V1 (20180412)\n",
    "\n",
    "ELAIS-S1/master_catalogue_ELAIS-S1_20171103_photoz_20180210.fits\n",
    "\n",
    "## Key information\n",
    "\n",
    "#### Masterlist used:\n",
    "dmu1/dmu1_ml_ELAIS-S1/data/master_catalogue_ELAIS-S1_20171103.fits\n",
    "\n",
    "#### Spectroscopic redshift sample used:\n",
    "dmu23/dmu23_ELAIS-S1/data/ELAIS-S1-specz-v2.2.fits\n",
    "\n",
    "#### Templates used:\n",
    "\n",
    "- EAZY Default\n",
    "- Atlas of Galaxy SEDs (Brown et al. 2014)\n",
    "- XMM-COSMOS Template library\n",
    "\n",
    "#### Filters used (Templates):\n",
    "\n",
    "| Telescope / Instrument | Filter         | Available | Used |\n",
    "|------------------------|----------------|-----------|------|\n",
    "| CTIO/DECAM             | decam_g        | Yes    | Yes  |\n",
    "| CTIO/DECAM             | decam_r        | Yes    | Yes  |\n",
    "| CTIO/DECAM             | decam_i        | Yes    | Yes  |\n",
    "| CTIO/DECAM             | decam_z        | Yes    | Yes  |\n",
    "| CTIO/DECAM             | decam_y        | Yes    | Yes  |\n",
    "| Pan-STARRS1/Pan-STARRS1| gpc1_g         | Yes    | No   |\n",
    "| Pan-STARRS1/Pan-STARRS1| gpc1_r         | Yes    | No   |\n",
    "| Pan-STARRS1/Pan-STARRS1| gpc1_i         | Yes    | No   |\n",
    "| Pan-STARRS1/Pan-STARRS1| gpc1_z         | Yes    | No   |\n",
    "| Pan-STARRS1/Pan-STARRS1| gpc1_y         | Yes    | No   |\n",
    "| VISTA/VIRCAM           | vircam_z       | Yes    | Yes   |\n",
    "| VISTA/VIRCAM           | vircam_y       | Yes    | Yes   |\n",
    "| VISTA/VIRCAM           | vircam_j       | Yes    | Yes   |\n",
    "| VISTA/VIRCAM           | vircam_h       | Yes    | Yes   |\n",
    "| VISTA/VIRCAM           | vircam_k       | Yes    | Yes   |\n",
    "| Spitzer/IRAC           | i1             | Yes    | Yes   |\n",
    "| Spitzer/IRAC           | i2             | Yes    | Yes   |\n",
    "| Spitzer/IRAC           | i3             | Yes    | Yes   |\n",
    "| Spitzer/IRAC           | i4             | Yes    | Yes   |\n",
    "| MPG/ESO 2.2-m / WFI    | wfi_b          | Yes    | Yes   |\n",
    "| MPG/ESO 2.2-m / WFI    | wfi_b123       | Yes    | Yes   |\n",
    "| MPG/ESO 2.2-m / WFI    | wfi_v          | Yes    | Yes   |\n",
    "| MPG/ESO 2.2-m / WFI    | wfi_r          | Yes    | No    |\n",
    "\n",
    "\n",
    "\n",
    "#### Additional Machine Learning Estimates\n",
    "\n",
    "For the main galaxy population, three additional Gaussian Process machine learning estimates were also incorporated into the Bayesian combination estimates. These were training using the combined spectroscopic sample - with cost-sensitive learning weights calibrated for the full field.\n",
    "The two sets of filters used were:\n",
    "- DECAM g, r, i, z, y\n",
    "- VISTA/VIRCAM Z, Y, J, H and Ks\n",
    "\n",
    "\n",
    "#### Additional selections applied:\n",
    " - In order to have a fully calibrated redshift estimate, sources must have a magnitude measurement in any of the optical r-bands.\n",
    " - Sources must also be detected in 4 bands at different wavelengths for a redshift to have been estimated (i.e. multiple r-band detections count only as one), including 3 optical bands (b -> y). Multiple detections in similar optical bands are not counted.\n",
    "\n",
    "\n",
    "#### Field-specific issues encountered:\n",
    "As with previous fields we do not include PS1 in the fitting as there are deeper and better calibrated observations available from DECAM and VISTA. WFI r band was missed when processing the field. However the DECAM r band has identical depth while covering the full field, the redshifts will therefore not have suffered and so will not be re-run currently."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plots for diagnostics and quality checking   "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/software/local/lib64/python2.7/site-packages/h5py/__init__.py:36: FutureWarning: Conversion of the second argument of issubdtype from `float` to `np.floating` is deprecated. In future, it will be treated as `np.float64 == np.dtype(float).type`.\n",
      "  from ._conv import register_converters as _register_converters\n"
     ]
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import properscoring as ps\n",
    "from astropy.table import Table\n",
    "from scipy.stats import ks_2samp\n",
    "import h5py as h\n",
    "import matplotlib as mpl\n",
    "import corner\n",
    "\n",
    "from astropy.convolution import Gaussian1DKernel, convolve\n",
    "\n",
    "def pz2d_stack(pz, zspec, zgrid, smooth=3):\n",
    "    \"\"\" Build a 2D stack of the photometric redshift P(z) predictions\n",
    "    \n",
    "    Inputs\n",
    "    ------\n",
    "    \n",
    "    pz : 2D array, (N x M)\n",
    "        Photo-z PDF array of N sources with M redshift steps\n",
    "    zspec : array, len(N)\n",
    "        Corresponding spectroscopic redshifts for the N sources\n",
    "    zgrid : array, len(M)\n",
    "        Redshift grid on which the redshift PDFs are samples\n",
    "    smooth : int\n",
    "        Number of redshift bins along which to smooth the stacked PDF\n",
    "    \n",
    "    \"\"\"\n",
    "    kernel = Gaussian1DKernel(smooth)\n",
    "    photoz_stack = np.zeros((len(zgrid), len(zgrid)))\n",
    "\n",
    "    for iz, z in enumerate(zspec):\n",
    "        znearest = np.argmin(np.abs(z - zgrid))\n",
    "\n",
    "        # Axis 0 = zspec, axis 1 = photoz\n",
    "        pdf = pz[iz, :]\n",
    "        pdf[np.isnan(pdf)] = 0.\n",
    "        pdf[np.isinf(pdf)] = 0.\n",
    "\n",
    "        #print('{0} {1}'.format(z, zgrid[znearest]))\n",
    "        photoz_stack[znearest,:] += pdf\n",
    "    \n",
    "\n",
    "    photoz_stack /= np.trapz(photoz_stack, zgrid, axis=1)[:, None]\n",
    "    photoz_stack[np.isnan(photoz_stack)] = 0.\n",
    "\n",
    "    photoz_stack_smoothed = np.zeros((len(zgrid), len(zgrid)))\n",
    "    for i in range(len(photoz_zgrid)):\n",
    "        photoz_stack_smoothed[:,i] = convolve(photoz_stack[:,i], kernel)\n",
    "    \n",
    "    return photoz_stack_smoothed.T\n",
    "\n",
    "def calcStats(photoz, specz):\n",
    "    pzgood = (photoz >= 0.)\n",
    "    szgood = (specz >= 0.)\n",
    "    cut = np.logical_and(pzgood, szgood)\n",
    "    \n",
    "    pc_pzbad = (len(photoz) - float(pzgood.sum())) / len(photoz)*100.\n",
    "\n",
    "    photoz = photoz[cut]\n",
    "    specz = specz[cut]\n",
    "    \n",
    "    dz = photoz - specz\n",
    "    \n",
    "    sigma_all = np.sqrt( np.sum((dz/(1+specz))**2) / float(len(dz)))\n",
    "    nmad = 1.48 * np.median( np.abs((dz - np.median(dz)) / (1+specz)))\n",
    "    #nmad = 1.48 * np.median( np.abs(dz) / (1+specz))\n",
    "    bias = np.median(dz/(1+specz))\n",
    "    \n",
    "    ol1 = (np.abs(dz)/(1+specz) > 0.2 )\n",
    "    OLF1 = np.sum( ol1 ) / float(len(dz))\n",
    "    sigma_ol1 = np.sqrt( np.sum((dz[np.invert(ol1)]/(1+specz[np.invert(ol1)]))**2) / float(len(dz[np.invert(ol1)])))\n",
    "    \n",
    "    ol2 = (np.abs(dz)/(1+specz) > 5*nmad )\n",
    "    OLF2 = np.sum( ol2 ) / float(len(dz))\n",
    "    sigma_ol2 = np.sqrt( np.sum((dz[np.invert(ol2)]/(1+specz[np.invert(ol2)]))**2) / float(len(dz[np.invert(ol2)])))\n",
    "    KSscore = ks_2samp(specz, photoz)[0]\n",
    "    \n",
    "    #print('Sigma_all: {0:.3f}'.format(sigma_all))\n",
    "    #print('Sigma_NMAD: {0:.3f}'.format(nmad))\n",
    "    #print('Bias: {0:.3f}'.format(bias))\n",
    "    \n",
    "    #print('OLF: Def1 = {0:.3f} Def2 = {1:0.3f}'.format(OLF1, OLF2))\n",
    "    #print('Sigma_OL: Def 1 = {0:.3f} Def2 = {1:0.3f}'.format(sigma_ol1, sigma_ol2))\n",
    "    #print('KS: {0:.3f}'.format(KSscore))\n",
    "\n",
    "    return [sigma_all, nmad, bias, OLF1, sigma_ol1, OLF2, sigma_ol2, KSscore, pc_pzbad]\n",
    "\n",
    "def calc_HPDciv(pz, zgrid, specz, dz = 0.005):\n",
    "    dz = np.diff(zgrid[:2])\n",
    "\n",
    "    i_zspec = np.argmin((np.abs(specz[:,None] - zgrid[None,:])), axis=1)\n",
    "    pz_s = pz[np.arange(len(i_zspec)), i_zspec]\n",
    "    mask = (pz < pz_s[:, None])\n",
    "    ipz_masked = np.copy(pz)\n",
    "    ipz_masked[mask] *= 0.\n",
    "\n",
    "    CI = np.trapz(ipz_masked, zgrid, axis=1) / np.trapz(pz, zgrid, axis=1)\n",
    "\n",
    "    return CI\n",
    "\n",
    "def calc_ci_dist(pz, zgrid, specz):\n",
    "    ci_pdf = calc_HPDciv(pz, zgrid, specz)\n",
    "    nbins = 100\n",
    "    hist, bin_edges = np.histogram(ci_pdf, bins=nbins, range=(0,1), normed=True)\n",
    "    cumhist = np.cumsum(hist)/nbins\n",
    "    bin_max = 0.5*(bin_edges[:-1]+bin_edges[1:])\n",
    "    \n",
    "    return cumhist, bin_max\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/software/local/lib64/python2.7/site-packages/astropy/table/column.py:954: RuntimeWarning: invalid value encountered in greater_equal\n",
      "  return getattr(self.data, op)(other)\n"
     ]
    }
   ],
   "source": [
    "photometry = Table.read('master_catalogue_elais-s1_20180221_processed.fits.mod')\n",
    "photoz = Table.read('full/photoz_all_merged.fits')\n",
    "\n",
    "best = np.abs(np.array([photoz['chi_r_eazy'], photoz['chi_r_atlas'],photoz['chi_r_cosmos']])).min(0)\n",
    "good = np.logical_and(best != 99., photoz['chi_r_stellar'] > 0.)\n",
    "\n",
    "z_spec = photometry['z_spec']\n",
    "AGN = photometry['AGN']\n",
    "\n",
    "zs_gal = np.logical_and(z_spec >= 0, AGN == 0)\n",
    "zs_agn = np.logical_and(z_spec >= 0, AGN == 1)\n",
    "\n",
    "photoz_hdf = h.File('full/pz_all_hb.hdf', mode='r')\n",
    "#photoz_hdf = h.File('../XMM-LSS/full/pz_all_hb.hdf', mode='r')\n",
    "photoz_pdf = photoz_hdf['Pz']\n",
    "photoz_zgrid = photoz_hdf['zgrid'][:]\n",
    "\n",
    "#photometry = Table.read('../XMM-LSS/xmm-lss_processed.fits')\n",
    "#photoz = Table.read('../XMM-LSS/full/photoz_all_merged.fits')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### $\\chi^{2}$ Properties\n",
    "\n",
    "#### Distribution of normalised $\\chi^{2}$ \n",
    "Due to the number of filters used per source varying between template sets and between sources themselves, in the following plots we use a normalised  $\\chi^{2}$ defined as $\\chi^{2}_{\\rm{r}} = \\chi^{2} / (N_{\\rm{filt}}-1)$. However we note this is not the formal reduced $\\chi^{2}$ and therefore should not necessarily be used to judge the goodness-of-fit for individual sources."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f65f5487d90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Fig, Ax = plt.subplots(1)\n",
    "Ax.hist(np.log10(photoz['chi_r_eazy'][good]), bins=100, range=(-3,2.5), histtype='step', label='EAZY')\n",
    "Ax.hist(np.log10(photoz['chi_r_atlas'][good]), bins=100, range=(-3,2.5), histtype='step', label='Atlas')\n",
    "Ax.hist(np.log10(photoz['chi_r_cosmos'][good]), bins=100, range=(-3,2.5), histtype='step', label='XMM-COSMOS')\n",
    "#Ax.hist(np.log10(photoz['chi_r_stellar']), bins=100, range=(-3,2.5), histtype='step')\n",
    "\n",
    "\n",
    "Leg = Ax.legend(loc='upper right', prop={'size':10}, frameon=False)\n",
    "Ax.set_xlabel(r'$\\log_{10}\\chi^{2}_{\\rm{r}}$')\n",
    "Ax.set_ylabel('N')\n",
    "Ax.set_xlim([-2, 2.5])\n",
    "Fig.savefig('plots/dmu24_ELAIS-S1_chi2_distributions.png', format='png', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Galaxy/AGN vs stellar templates - $\\chi^{2}$ \n",
    "\n",
    "We now plot the distribution of 'Best' normalised $\\chi^{2}$ from the Galaxy/AGN template libraries vs the normalised $\\chi^{2}$ from fits to the Pickles library of stellar templates. Sources are split by apparent optical magnitude with the relative number of sources indicated in each panel."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/duncan/.local/lib/python2.7/site-packages/ipykernel_launcher.py:11: RuntimeWarning: invalid value encountered in log10\n",
      "  # This is added back by InteractiveShellApp.init_path()\n"
     ]
    },
    {
     "data": {
      "image/png": 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ThsjIyKAjWJk1xGw2s337dlJTU9m1axePPfYYQ4YMwWq1ArB+/XoA+vTpg8/n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D+v/YO/Pwpsr0/X9O0jRt0zRNmiZdgRYo+1KKgCgobiyC+y7DIg6CI477CioD4joOin4ZHRFx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DdaOH0OUAIsF0LcK4QY2MatRhFccfpaeb4z12pt3MVAsSRJspX8PnBsW9dRUYk0uvnZjrQ5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\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R6BBisViw2+3069ePiooKrFYrZySFcVXIP7H6NZBdncmmhj8Q3y+AkDBvcfK4uDhsNhtu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\nP9NVszKeHHWrAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f65f5442f50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Fig, Ax = plt.subplots(3, 2, figsize=(6.5, 10))\n",
    "mag_lims = [16, 18, 20, 22, 24, 26, 28]\n",
    "\n",
    "for im in range(len(mag_lims)-1):\n",
    "    ax = Ax.flatten()[im]\n",
    "    ax.axes.set_aspect('equal')\n",
    "    mag = np.logical_and(photometry['r_any_mag'] >= mag_lims[im], photometry['r_any_mag'] < mag_lims[im+1])\n",
    "\n",
    "    fraction = (np.sum(mag*good) / np.sum(good).astype('float'))\n",
    "    \n",
    "    corner.hist2d(np.log10(best[good*mag]), np.log10(photoz['chi_r_stellar'])[good*mag], ax=ax, bins=50, \n",
    "              plot_datapoints=True, plot_density=True)\n",
    "    ax.plot([-3,3],[-3,3], zorder=10000, color='orange', lw=2, ls='--')\n",
    "\n",
    "    ax.set_xlim([-2, 3])\n",
    "    ax.set_ylim([-2, 3])\n",
    "    \n",
    "    ax.set_title('{0:d} < {1} < {2:d}'.format(mag_lims[im], '$r$',mag_lims[im+1]), size=10)\n",
    "    ax.set_xlabel(r'$\\log_{10}\\chi^{2}_{\\rm{r, Star}}$')\n",
    "    ax.set_ylabel(r'$\\log_{10}\\chi^{2}_{\\rm{r, Gal}}$')\n",
    "    ax.text(2.8, -1.8, '{0:.1f}% of sources'.format(fraction*100),\n",
    "            horizontalalignment='right', verticalalignment='bottom')\n",
    "\n",
    "Fig.tight_layout()\n",
    "Fig.savefig('plots/dmu24_ELAIS-S1_chi2_galaxy_star_comparison.png', format='png', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "### Photo-z vs Spec-z Visual Comparison\n",
    "  \n",
    "As plots of photo-z vs spec-z are commonly presented in order to allow the visual inspection of the relative precision and biases of photo-z estimates, we provide a version here for reference. However, instead of choosing a single value to represent the photometric redshift (e.g. median or peak of the $P(z)$) we stack the full $P(z)$ of all the sources within each spectroscopic redshift bin."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "photoz_pdf_agn = np.zeros((zs_agn.sum(), photoz_pdf.shape[1]))\n",
    "\n",
    "for i,ia in enumerate(np.where(zs_agn)[0]):\n",
    "    photoz_pdf_agn[i] = photoz_pdf[ia]\n",
    "    \n",
    "\n",
    "photoz_pdf_gal = np.zeros((zs_gal.sum(), photoz_pdf.shape[1]))\n",
    "\n",
    "for i,ia in enumerate(np.where(zs_gal)[0]):\n",
    "    photoz_pdf_gal[i] = photoz_pdf[ia]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/duncan/.local/lib/python2.7/site-packages/ipykernel_launcher.py:44: RuntimeWarning: invalid value encountered in divide\n"
     ]
    }
   ],
   "source": [
    "pz2d_gal = pz2d_stack(photoz_pdf_gal, z_spec[zs_gal], photoz_zgrid, 5)\n",
    "pz2d_agn = pz2d_stack(photoz_pdf_agn, z_spec[zs_agn], photoz_zgrid, 10)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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YvnxuyRD/48cvsva5bcRiylVXjeeWW6b1d5P6F3lekPsV/WGoWCxEIpkT6qD9kcawzi+f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\nQ1SA+0vOLfSg/zgKnIAKCVMHecmfybk300bzTxrHmDQZJrXrFhyA4O/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Vh1rsr2OAvuYk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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f65ef3e4c10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Fig, Ax = plt.subplots(1, 2, figsize=(8,4))\n",
    "\n",
    "X, Y = np.meshgrid(photoz_zgrid, photoz_zgrid)\n",
    "\n",
    "Ax[0].pcolormesh(X, Y, pz2d_gal, cmap='magma_r', \n",
    "                 vmin=0, vmax=np.percentile(pz2d_gal, 99.9))\n",
    "\n",
    "#             extent=[photoz_zgrid.min(), photoz_zgrid.max(), \n",
    "#             photoz_zgrid.min(), photoz_zgrid.max()], \n",
    "\n",
    "Ax[1].pcolormesh(X, Y, pz2d_agn, cmap='magma_r', \n",
    "             vmin=0, vmax=np.percentile(pz2d_agn, 99.9))\n",
    "\n",
    "Ax[0].set_title('Galaxies')\n",
    "Ax[1].set_title('AGN')\n",
    "\n",
    "Ax[0].set_xlim([0, 2]) #np.ceil(z_spec[zs_gal].max())])\n",
    "Ax[0].set_ylim([0, 2]) #np.ceil(z_spec[zs_gal].max())])\n",
    "\n",
    "Ax[1].set_xlim([0, np.ceil(z_spec[zs_agn].max())])\n",
    "Ax[1].set_ylim([0, np.ceil(z_spec[zs_agn].max())])\n",
    "\n",
    "\n",
    "for ax in Ax:\n",
    "    ax.set_xlabel('$z_{spec}$', size=12)\n",
    "    ax.set_ylabel('$z_{phot}$', size=12)\n",
    "\n",
    "    ax.plot(photoz_zgrid, photoz_zgrid, color='0.5', lw=2)\n",
    "    ax.plot(photoz_zgrid, photoz_zgrid + 0.15*(1+photoz_zgrid), color='0.5', ls='--')\n",
    "    ax.plot(photoz_zgrid, photoz_zgrid - 0.15*(1+photoz_zgrid), color='0.5', ls='--')\n",
    "    \n",
    "Fig.savefig('plots/dmu24_ELAIS-S1_specz_vs_photz_pz.png', format='png', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Photo-z Statistics\n",
    "\n",
    "Metrics for photometric redshift precision and accuracy are defined as in Duncan et al. (2018a, and references therein).\n",
    "\n",
    "| Metric | | Definition |\n",
    "|----------------|-------------|----------------------|\n",
    "|$\\sigma_{f}$ | Scatter - all galaxies | $\\text{rms}(\\Delta z / (1+z_{\\text{spec}}))$ |\n",
    "|$\\sigma_{\\text{NMAD}}$ | Normalised median absolute deviation | $1.48 \\times \\text{median} ( \\left | \\Delta z \\right | / (1+z_{\\text{spec}}))$ |\n",
    "|Bias | | $\\text{median} (\\Delta z )$|\n",
    "|O$_{f}$ | Outlier fraction | Outliers defined as $\\left | \\Delta z \\right | / (1+z_{\\text{spec}}) > 0.2$ |\n",
    "|$\\sigma_{\\text{O}_{f}}$ | Scatter excluding O$_{f}$ outliers |  $ \\text{rms}[\\Delta z / (1+z_{\\text{spec}})]$ |\n",
    "|$\\overline{\\rm{CRPS}}$ | Mean continuous ranked probability score | $\\overline{\\rm{CRPS}} = \\frac{1}{N} \\sum_{i=1}^{N} \\int_{-\\infty}^{+\\infty} [ \\rm{CDF}_{i}(z) -  \\rm{CDF}_{z_{s},i}(z)]^{2} dz$ |\n",
    "\n",
    "\n",
    "#### Quality statistics as a function of redshift\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "gal_z_binedges = np.linspace(0, np.percentile(z_spec[zs_gal],99), 15)\n",
    "agn_z_binedges = np.linspace(0, np.percentile(z_spec[zs_agn],99), 9)\n",
    "\n",
    "gal_z_bins = 0.5*(gal_z_binedges[:-1] + gal_z_binedges[1:])\n",
    "agn_z_bins = 0.5*(agn_z_binedges[:-1] + agn_z_binedges[1:])\n",
    "\n",
    "galaxy_statistics_vs_z = []\n",
    "galaxy_crps_vs_z = []\n",
    "\n",
    "for i, zmin in enumerate(gal_z_binedges[:-1]):\n",
    "    zcut = np.logical_and(z_spec >= zmin, z_spec < gal_z_binedges[i+1])\n",
    "    galaxy_statistics_vs_z.append(calcStats(photoz['z1_median'][zs_gal*zcut], z_spec[zs_gal*zcut]))\n",
    "    \n",
    "    pzs = photoz_pdf[zs_gal*zcut,:]\n",
    "    zs = z_spec[zs_gal*zcut]\n",
    "    galaxy_crps_vs_z.append(np.nanmean([ps.crps_ensemble(zs[i], \n",
    "                                                         forecasts=photoz_zgrid, \n",
    "                                                         weights=pzs[i]) for i in range(len(zs))]))\n",
    "    \n",
    "galaxy_statistics_vs_z = np.array(galaxy_statistics_vs_z)\n",
    "    \n",
    "agn_statistics_vs_z = []\n",
    "agn_crps_vs_z = []\n",
    "\n",
    "for i, zmin in enumerate(agn_z_binedges[:-1]):\n",
    "    zcut = np.logical_and(z_spec >= zmin, z_spec < agn_z_binedges[i+1])\n",
    "    agn_statistics_vs_z.append(calcStats(photoz['z1_median'][zs_agn*zcut], z_spec[zs_agn*zcut])) \n",
    "\n",
    "    pzs = photoz_pdf[zs_agn*zcut,:]\n",
    "    zs = z_spec[zs_agn*zcut]\n",
    "    agn_crps_vs_z.append(np.nanmean([ps.crps_ensemble(zs[i], \n",
    "                                                     forecasts=photoz_zgrid, \n",
    "                                                     weights=pzs[i]) for i in range(len(zs))]))\n",
    "    \n",
    "agn_statistics_vs_z = np.array(agn_statistics_vs_z)    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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XiIislbvJK6vpdL+lmwu56a9LW69877l8AqePSfVo7Uqp7nNrMZ6+ZsygeJbv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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f65ef480490>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Fig, Ax = plt.subplots(3,1, sharex=True, figsize=(5,8))\n",
    "\n",
    "Ax[0].plot(gal_z_bins, galaxy_statistics_vs_z[:,1], color='steelblue', lw=2, label='Galaxy')\n",
    "Ax[0].plot(agn_z_bins, agn_statistics_vs_z[:,1], color='firebrick', lw=2, label='AGN')\n",
    "Ax[0].set_ylabel(r'$\\sigma_{\\rm{NMAD}}$', size=12)\n",
    "\n",
    "Ax[1].plot(gal_z_bins, galaxy_statistics_vs_z[:,3], color='steelblue', lw=2, label='Galaxy')\n",
    "Ax[1].plot(agn_z_bins, agn_statistics_vs_z[:,3], color='firebrick', lw=2, label='AGN')\n",
    "Ax[1].set_ylabel(r'$\\rm{OLF}$')\n",
    "\n",
    "Ax[2].plot(gal_z_bins, galaxy_crps_vs_z, color='steelblue', lw=2, label='Galaxy')\n",
    "Ax[2].plot(agn_z_bins, agn_crps_vs_z, color='firebrick', lw=2, label='AGN')\n",
    "Ax[2].set_ylabel(r'$\\overline{\\rm{CRPS}}$')\n",
    "\n",
    "Leg = Ax[2].legend(loc='lower right', frameon=False)\n",
    "\n",
    "Ax[2].set_xlim([0, np.ceil(np.percentile(z_spec[zs_agn],99))])\n",
    "Ax[2].set_xlabel('$z_{spec}$', size=12)\n",
    "Tw = Ax[0].twiny()\n",
    "Tw.set_xlim([0, np.ceil(np.percentile(z_spec[zs_agn],99))])\n",
    "Tw.set_xlabel('$z_{spec}$', size=12)\n",
    "Ax[0].set_yscale('log')\n",
    "Ax[0].set_ylim([0.01,1])\n",
    "Ax[1].set_yscale('log')\n",
    "Ax[1].set_ylim([0.01,1])\n",
    "\n",
    "Fig.tight_layout()\n",
    "Fig.savefig('plots/dmu24_ELAIS-S1_stats_vs_z.png', format='png', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "#### Quality as a function of optical magnitude"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "zs_gal_mag = np.logical_and(z_spec >= 0, AGN == 0) * (photometry['r_any_mag'] > 0.)\n",
    "zs_agn_mag = np.logical_and(z_spec >= 0, AGN == 1) * (photometry['r_any_mag'] > 0.)\n",
    "\n",
    "gal_mag_binedges = np.linspace(*np.percentile(photometry['r_any_mag'][zs_gal_mag],[1,99.9]), num=15)\n",
    "agn_mag_binedges = np.linspace(*np.percentile(photometry['r_any_mag'][zs_agn_mag],[1,99.9]), num=6)\n",
    "\n",
    "gal_mag_bins = 0.5*(gal_mag_binedges[:-1] + gal_mag_binedges[1:])\n",
    "agn_mag_bins = 0.5*(agn_mag_binedges[:-1] + agn_mag_binedges[1:])\n",
    "\n",
    "galaxy_statistics_vs_mag = []\n",
    "galaxy_crps_vs_mag = []\n",
    "\n",
    "mag = photometry['r_any_mag']\n",
    "\n",
    "for i, mmin in enumerate(gal_mag_binedges[:-1]):\n",
    "    mcut = np.logical_and(mag >= mmin, mag < gal_mag_binedges[i+1])\n",
    "    galaxy_statistics_vs_mag.append(calcStats(photoz['z1_median'][zs_gal_mag*mcut], z_spec[zs_gal_mag*mcut]))\n",
    "    \n",
    "    pzs = photoz_pdf[zs_gal_mag*mcut,:]\n",
    "    zs = z_spec[zs_gal_mag*mcut]\n",
    "    galaxy_crps_vs_mag.append(np.nanmean([ps.crps_ensemble(zs[i], \n",
    "                                                         forecasts=photoz_zgrid, \n",
    "                                                         weights=pzs[i]) for i in range(len(zs))]))\n",
    "    \n",
    "galaxy_statistics_vs_mag = np.array(galaxy_statistics_vs_mag)\n",
    "\n",
    "agn_statistics_vs_mag = []\n",
    "agn_crps_vs_mag = []\n",
    "\n",
    "for i, mmin in enumerate(agn_mag_binedges[:-1]):\n",
    "    mcut = np.logical_and(mag >= mmin, mag < agn_mag_binedges[i+1])\n",
    "    agn_statistics_vs_mag.append(calcStats(photoz['z1_median'][zs_agn_mag*mcut], z_spec[zs_agn_mag*mcut])) \n",
    "\n",
    "    pzs = photoz_pdf[zs_agn_mag*mcut,:]\n",
    "    zs = z_spec[zs_agn_mag*mcut]\n",
    "    agn_crps_vs_mag.append(np.nanmean([ps.crps_ensemble(zs[i], \n",
    "                                                     forecasts=photoz_zgrid, \n",
    "                                                     weights=pzs[i]) for i in range(len(zs))]))\n",
    "    \n",
    "agn_statistics_vs_mag = np.array(agn_statistics_vs_mag)   "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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nFDApNz30H1ZkmBjoGLACeJC1dfjYfrA20MOtZFtpbbdLnccYTM5NZ874LOaM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\nLICNMcYj/x+adpHfMhQyFAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f65ef3b2910>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Fig, Ax = plt.subplots(3,1, sharex=True, figsize=(5,8))\n",
    "\n",
    "Ax[0].plot(gal_mag_bins, galaxy_statistics_vs_mag[:,1], color='steelblue', lw=2, label='Galaxy')\n",
    "Ax[0].plot(agn_mag_bins, agn_statistics_vs_mag[:,1], color='firebrick', lw=2, label='AGN')\n",
    "Ax[0].set_ylabel(r'$\\sigma_{\\rm{NMAD}}$', size=12)\n",
    "\n",
    "Ax[1].plot(gal_mag_bins, galaxy_statistics_vs_mag[:,3], color='steelblue', lw=2, label='Galaxy')\n",
    "Ax[1].plot(agn_mag_bins, agn_statistics_vs_mag[:,3], color='firebrick', lw=2, label='AGN')\n",
    "Ax[1].set_ylabel(r'$\\rm{OLF}$')\n",
    "\n",
    "Ax[2].plot(gal_mag_bins, galaxy_crps_vs_mag, color='steelblue', lw=2, label='Galaxy')\n",
    "Ax[2].plot(agn_mag_bins, agn_crps_vs_mag, color='firebrick', lw=2, label='AGN')\n",
    "Ax[2].set_ylabel(r'$\\overline{\\rm{CRPS}}$')\n",
    "\n",
    "Leg = Ax[2].legend(loc='upper left', frameon=False)\n",
    "\n",
    "#Ax[2].set_xlim([0, z_spec[zs_agn].max()])\n",
    "Ax[2].set_xlabel('$r$', size=12)\n",
    "Tw = Ax[0].twiny()\n",
    "Tw.set_xlim(Ax[2].get_xlim())\n",
    "Tw.set_xlabel('$r$', size=12)\n",
    "\n",
    "Ax[0].set_yscale('log')\n",
    "Ax[1].set_yscale('log')\n",
    "Ax[0].set_ylim([0.01, 1])\n",
    "Ax[1].set_ylim([0.001, 1])\n",
    "Ax[2].set_ylim([0, 0.6])\n",
    "\n",
    "Fig.tight_layout()\n",
    "Fig.savefig('plots/dmu24_ELAIS-S1_stats_vs_mag.png', format='png', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Accuracy of the photometric redshift probability distribution\n",
    "\n",
    "Following Duncan et al. (2017) we calibrate the accuracy of the redshift PDF by scaling the input PDFs to the hierarchical Bayesian combination depending on the optical magnitude of a source in the band chosen for calibration. The diagnostic plot which best illustrates the overall redshift PDF accuracy is the Q-Q plot ($\\hat{F}(c)$): \n",
    "\n",
    ">To quantify the over- or under-confidence of our photometric redshift estimates, we follow the example of Wittman et al. (2016) and calculate the distribution of threshold credible intervals, $c$, where the spectroscopic redshift is just included.\n",
    "For a set of redshift PDFs which perfectly represent the redshift uncertainty (e.g. 10% of galaxies have the true redshift within the 10% credible interval, 20% within their 20% credible interval, etc.), the expected distribution of $c$ values should be constant between 0 and 1.\n",
    "The cumulative distribution, $\\hat{F}(c)$, should therefore follow a straight 1:1 relation.\n",
    "Curves which fall below this expected 1:1 relation therefore indicate that there is overconfidence in the photometric redshift errors; the $P(z)$s are too sharp. - _Duncan et al. (2017)_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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jR8HqrqnVjQjm5aHdaBQdXs6PW7QWsfzwUbwtZt7p3YMb6p59svj13u28/Nuv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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f65ef4ee550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "colors = plt.cm.viridis(np.linspace(0, 1, len(gal_mag_bins)))\n",
    "\n",
    "cmap = mpl.cm.viridis\n",
    "norm = mpl.colors.Normalize(vmin=gal_mag_bins.min(), vmax=gal_mag_bins.max())\n",
    "\n",
    "mag = photometry['r_any_mag'][zs_gal]\n",
    "\n",
    "Fig, Ax = plt.subplots(1)\n",
    "for i, mmin in enumerate(gal_mag_binedges[:-1]):\n",
    "    mcut = np.logical_and(mag >= mmin, mag < gal_mag_binedges[i+1])\n",
    "    \n",
    "    ci, bins = calc_ci_dist(photoz_pdf_gal[mcut,:], photoz_zgrid, z_spec[zs_gal][mcut])\n",
    "    \n",
    "    Ax.plot(bins, ci, color=colors[i], lw=2)\n",
    "\n",
    "cbax = Fig.add_axes([0.26, 1.02, 0.5, 0.05])\n",
    "CB = mpl.colorbar.ColorbarBase(cbax, cmap=cmap, norm=norm, orientation='horizontal')\n",
    "CB.set_label('r')\n",
    "\n",
    "Ax.set_aspect('equal')\n",
    "Ax.set_ylim([0,1])\n",
    "Ax.plot([0,1],[0,1], color='0.5', ls='dashed', lw=2)\n",
    "Ax.set_xlabel(r'$c$', size=12)\n",
    "Ax.set_ylabel(r'$\\hat{F}(c)$', size=12)\n",
    "Ax.text(0.1, 0.9, 'Galaxies', size=12,  verticalalignment='top')\n",
    "Fig.savefig('plots/dmu24_ELAIS-S1_pz_accuracy_gal.png', format='png', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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TWkOxd7PmvDo4mqZ+/hVeY++Ib9KkCV5eXpXeI/bcRd7732qkhAdu78+UyQNL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\nis9RiUtRFJ/z/9AJ+KGZvMgzAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f65ef4eee10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "colors = plt.cm.viridis(np.linspace(0, 1, len(agn_mag_bins)))\n",
    "\n",
    "cmap = mpl.cm.viridis\n",
    "norm = mpl.colors.Normalize(vmin=agn_mag_bins.min(), vmax=agn_mag_bins.max())\n",
    "\n",
    "mag = photometry['r_any_mag'][zs_agn]\n",
    "\n",
    "Fig, Ax = plt.subplots(1)\n",
    "for i, mmin in enumerate(agn_mag_binedges[:-1]):\n",
    "    mcut = np.logical_and(mag >= mmin, mag < agn_mag_binedges[i+1])\n",
    "    \n",
    "    ci, bins = calc_ci_dist(photoz_pdf_agn[mcut,:], photoz_zgrid, z_spec[zs_agn][mcut])\n",
    "    \n",
    "    Ax.plot(bins, ci, color=colors[i], lw=2)\n",
    "\n",
    "#cbax = mpl.colorbar.make_axes(Ax.axes)\n",
    "cbax = Fig.add_axes([0.26, 1.02, 0.5, 0.05])\n",
    "CB = mpl.colorbar.ColorbarBase(cbax, cmap=cmap, norm=norm, orientation='horizontal')\n",
    "CB.set_label('r')\n",
    "\n",
    "Ax.set_aspect('equal')\n",
    "Ax.set_ylim([0,1])\n",
    "Ax.plot([0,1],[0,1], color='0.5', ls='dashed', lw=2)\n",
    "Ax.set_xlabel(r'$c$', size=12)\n",
    "Ax.set_ylabel(r'$\\hat{F}(c)$', size=12)\n",
    "Ax.text(0.1, 0.9, 'AGN', size=12, verticalalignment='top')\n",
    "Fig.savefig('plots/dmu24_ELAIS-S1_pz_accuracy_agn.png', format='png', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Checks for statistiscs on number of estimates with secondary peaks"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/software/local/lib64/python2.7/site-packages/astropy/table/column.py:954: RuntimeWarning: invalid value encountered in greater\n",
      "  return getattr(self.data, op)(other)\n"
     ]
    }
   ],
   "source": [
    "gal_mag = np.logical_and(AGN == 0, photometry['r_any_mag'] > 0.) * (photoz['z1_median'] >= 0)\n",
    "agn_mag = np.logical_and(AGN == 1, photometry['r_any_mag'] > 0.) * (photoz['z1_median'] >= 0)\n",
    "\n",
    "gal_mag_binedges = np.linspace(*np.percentile(photometry['r_any_mag'][gal_mag],[1,95]), num=30)\n",
    "agn_mag_binedges = np.linspace(*np.percentile(photometry['r_any_mag'][agn_mag],[1,95]), num=15)\n",
    "\n",
    "gal_mag_bins = 0.5*(gal_mag_binedges[:-1] + gal_mag_binedges[1:])\n",
    "agn_mag_bins = 0.5*(agn_mag_binedges[:-1] + agn_mag_binedges[1:])\n",
    "\n",
    "galaxy_frac_sec_peak = []\n",
    "\n",
    "mag = photometry['r_any_mag']\n",
    "\n",
    "for i, mmin in enumerate(gal_mag_binedges[:-1]):\n",
    "    mcut = np.logical_and(mag >= mmin, mag < gal_mag_binedges[i+1])\n",
    "    \n",
    "    mpeaks = np.sum(photoz['z2_median'][mcut*gal_mag] > 0) / np.float(np.sum(mcut*gal_mag))\n",
    "    \n",
    "    galaxy_frac_sec_peak.append(mpeaks)\n",
    "\n",
    "galaxy_frac_sec_peak = np.array(galaxy_frac_sec_peak )\n",
    "\n",
    "agn_frac_sec_peak= []\n",
    "\n",
    "for i, mmin in enumerate(agn_mag_binedges[:-1]):\n",
    "    mcut = np.logical_and(mag >= mmin, mag < agn_mag_binedges[i+1])\n",
    "\n",
    "    mpeaks = np.sum(photoz['z2_median'][mcut*agn_mag] > 0) / np.float(np.sum(mcut*agn_mag))\n",
    "    \n",
    "    agn_frac_sec_peak.append(mpeaks)\n",
    "    \n",
    "agn_frac_sec_peak = np.array(agn_frac_sec_peak)   "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/duncan/.local/lib/python2.7/site-packages/ipykernel_launcher.py:14: RuntimeWarning: invalid value encountered in divide\n",
      "  \n",
      "/home/duncan/.local/lib/python2.7/site-packages/ipykernel_launcher.py:17: RuntimeWarning: invalid value encountered in divide\n"
     ]
    }
   ],
   "source": [
    "gal_mag = np.logical_and(AGN == 0, photometry['r_any_mag'] > 0.) * (photoz['z1_median'] >= 0)\n",
    "agn_mag = np.logical_and(AGN == 1, photometry['r_any_mag'] > 0.) * (photoz['z1_median'] >= 0)\n",
    "\n",
    "nfilts = np.arange(4,photoz['nfilt_eazy'].max())\n",
    "\n",
    "galaxy_frac_sec_peak_nf = []\n",
    "agn_frac_sec_peak_nf= []\n",
    "\n",
    "mag = photometry['r_any_mag']\n",
    "\n",
    "for i, n in enumerate(nfilts):\n",
    "    mcut = (photoz['nfilt_eazy'] == n)\n",
    "    \n",
    "    mpeaks = np.sum(photoz['z2_median'][mcut*gal_mag] > 0) / np.float(np.sum(mcut*gal_mag))\n",
    "    galaxy_frac_sec_peak_nf.append(mpeaks)\n",
    "\n",
    "    mpeaks = np.sum(photoz['z2_median'][mcut*agn_mag] > 0) / np.float(np.sum(mcut*agn_mag))\n",
    "    agn_frac_sec_peak_nf.append(mpeaks)\n",
    "\n",
    "\n",
    "galaxy_frac_sec_peak_nf = np.array(galaxy_frac_sec_peak_nf)\n",
    "agn_frac_sec_peak_nf = np.array(agn_frac_sec_peak_nf)   "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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o0aP5+uuvefvtt/nvf//LCy+8QPPmzbntttuYPXs2//znP9mzZw95eXn07t27xo5XKaVU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\nnwEKpEWJAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f66238a22d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Fig, Ax = plt.subplots(1,2, sharey=True, figsize=(8,3.5))\n",
    "\n",
    "Ax[0].plot(gal_mag_bins, galaxy_frac_sec_peak, color='steelblue', lw=2, label='Galaxy')\n",
    "Ax[0].plot(agn_mag_bins, agn_frac_sec_peak, color='firebrick', lw=2, label='AGN')\n",
    "#Ax[0].set_ylabel(r'$\\sigma_{\\rm{NMAD}}$', size=12)\n",
    "\n",
    "Leg = Ax[0].legend(loc='upper left', frameon=False)\n",
    "\n",
    "#Ax[2].set_xlim([0, z_spec[zs_agn].max()])\n",
    "Ax[0].set_xlabel(r'$r$', size=12)\n",
    "Ax[1].set_xlabel(r'$N_{\\rm{filt}}$', size=12)\n",
    "Ax[0].set_ylabel('Fraction')\n",
    "#Tw = Ax.twiny()\n",
    "#Tw.set_xlim(Ax.get_xlim())\n",
    "#Tw.set_xlabel('$r$', size=12)\n",
    "\n",
    "Ax[1].plot(nfilts, galaxy_frac_sec_peak_nf, color='steelblue', lw=2, label='Galaxy')\n",
    "Ax[1].plot(nfilts, agn_frac_sec_peak_nf, color='firebrick', lw=2, label='AGN')\n",
    "Ax[0].set_ylim([0,1])\n",
    "#Ax[0.set_yscale('log').tight_layout()\n",
    "Fig.subplots_adjust(hspace=0, wspace=0)\n",
    "Fig.suptitle('Fraction of sources with secondary redshift peak')\n",
    "\n",
    "Fig.savefig('plots/dmu24_ELAIS-S1_frac_2nd_peak_vs_mag.png', format='png', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
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   },
   "outputs": [],
   "source": []
  }
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