{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# GAMA 09"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# GAMA 09 Photometric Redshifts - V1 (20180213)\n",
    "\n",
    "GAMA15/master_catalogue_gama-15_20180119_photoz_20180210_r_optimised.fits\n",
    "\n",
    "## Key information\n",
    "\n",
    "#### Masterlist used:\n",
    "dmu1/dmu1_ml_GAMA-09/data/master_catalogue_gama-09_20171206.fits\n",
    "\n",
    "#### Spectroscopic redshift sample used:\n",
    "dmu23/dmu23_GAMA-09/data/GAMA09-specz-v2_1-PRIVATE.csv   \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:\n",
    "\n",
    "| Telescope / Instrument | Filter         | Available | Used |\n",
    "|------------------------|----------------|-----------|------|\n",
    "| Subaru/HSC             | suprime_g      | Yes    | Yes   |\n",
    "| Subaru/HSC             | suprime_r      | Yes    | Yes   |\n",
    "| Subaru/HSC             | suprime_i      | Yes    | Yes   |\n",
    "| Subaru/HSC             | suprime_z      | Yes    | Yes   |\n",
    "| Subaru/HSC             | suprime_y      | Yes    | Yes   |\n",
    "| VST/OmegaCam           | omegacam_u     | Yes    | Yes   |\n",
    "| VST/OmegaCam           | omegacam_g     | Yes    | Yes   |\n",
    "| VST/OmegaCam           | omegacam_r     | Yes    | Yes   |\n",
    "| VST/OmegaCam           | omegacam_i     | Yes    | Yes   |\n",
    "| CFHT/MegaCAM           | megacam_u      | Yes    | Yes   |\n",
    "| CFHT/MegaCAM           | megacam_g      | Yes    | Yes   |\n",
    "| CFHT/MegaCAM           | megacam_r      | Yes    | Yes   |\n",
    "| CFHT/MegaCAM           | megacam_z      | 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",
    "| UKIRT/WFCAM            | ukidss_j       | Yes    | Yes   |\n",
    "| UKIRT/WFCAM            | ukidss_h       | Yes    | Yes   |\n",
    "| UKIRT/WFCAM            | ukidss_k       | Yes    | Yes   |\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",
    "\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 of all three GAMA fields - with cost-sensitive learning weights calibrated for each specific field.\n",
    "The three sets of filters used were:\n",
    "- OmegaCam u,g,r,i\n",
    "- HyperSuprimeCam g,r,i,z,y\n",
    "- OmegaCam g,r,i + VISTA/VIRCAM J and Ks\n",
    "\n",
    "For the AGN subset, one GP estimate was also included resulting in much better performance. This estimate used the following filters:\n",
    "- OmegaCam u,g,r,i + VISTA/VIRCAM J\n",
    "\n",
    "#### Additional selections applied:\n",
    " - In order to have a fully calibrated redshift estimate, sources must have a magnitude measurement in either 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). Multiple detections in similar optical bands do not count due to the issues described below.\n",
    "\n",
    "\n",
    "#### Field-specific issues encountered:\n",
    "Initial runs including PanSTARRS and DECam observations resulted in significantly poorer results than expected given the excellent KIDS and HSC photometry available in the field. As these two datasets were found to be the main causes of the issues when used in combination with the other datasets, they were excluded resulting in excellent overall quality.\n",
    "Due to the \n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plots for diagnostics and quality checking   "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "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": true
   },
   "outputs": [],
   "source": [
    "photometry = Table.read('master_catalogue_gama-09_20171206_processed.fits')\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": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7a74ad0>"
      ]
     },
     "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_GAMA09_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": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/software/rhel7/lib64/python2.7/site-packages/ipykernel/__main__.py:11: RuntimeWarning: invalid value encountered in log10\n"
     ]
    },
    {
     "data": {
      "image/png": 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e5qGHHqLVauF0OhkcHGRoaIh8Pk88HqdSqaDX6wmHwzJCVC6XWV5eZnx8nGKx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\nlfjyl78shBDiiiuuEN3d3WL16tXis5/9LOMc5rOl+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B0t53yZde2SNRg2LAMPgH//plGW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\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oxIoVK1i0aBH19fX079+f3/zmN0yZMgWtez3JG69Dr42y7HMbv/hbOxdffDGrVq066hVn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\nP42d04Y/V+0iAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x89c58d0>"
      ]
     },
     "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_GAMA09_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": 6,
   "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": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/software/rhel7/lib64/python2.7/site-packages/ipykernel/__main__.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": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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fx9Zys6Mzej4n1FNDMWLQdclXX19H1yVFRV5KcrD4S09PkE2bj/WWm10zT5WbVSjSyDff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\nk8oYV5zrdx+7DaVohZJ/9JHrmGkK01I5MXnyIknyfPk8la4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+q7uGl2W01AVunmNl6EIM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645rPKFHjMQDbVYa/ZRVdLGpQMVh+DOH3FuRUqfpUqdZ8UG1NVR7nXXvLRMzUA6EKcwAcjXWVA2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\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10f584d0>"
      ]
     },
     "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, 1.5]) #np.ceil(z_spec[zs_gal].max())])\n",
    "Ax[0].set_ylim([0, 1.5]) #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_GAMA09_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": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "gal_z_binedges = np.linspace(0, np.ceil(np.percentile(z_spec[zs_gal],99)), 21)\n",
    "agn_z_binedges = np.linspace(0, np.ceil(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": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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hh2z+978p3rEDgNiePen129/S/txzLZtTXbZvn3Og7t13wRhCYmPpccstdL322uNOTVTW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\naAArpZRFNICVUsoi/w+v1k0nDklStQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10f57350>"
      ]
     },
     "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_GAMA09_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": 11,
   "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": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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UwCIiHlEAi4h4RAEsIuIRBbCIiEcUwCIiHlEAi4h4RAEsIuIRBbCIiEcUwCIi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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7b88dd0>"
      ]
     },
     "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_GAMA09_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": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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qdJNqmPAsX4X3jRbYmoRG/Yh3NOSZfv/i8ekL2byjiJhwC+ZgOO++dDnNmiWS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\nPp8AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x88e4350>"
      ]
     },
     "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_GAMA09_pz_accuracy_gal.png', format='png', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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15UGSUjK4p3kQ3TrUt7nd4U3/8P6YL8jK0ONT1ZsnP5voMB8LQgmXQmFHwtLD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\nAn5rEUuTAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x8bf7f50>"
      ]
     },
     "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_GAMA09_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": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/software/rhel7/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": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/software/rhel7/lib64/python2.7/site-packages/ipykernel/__main__.py:14: RuntimeWarning: invalid value encountered in divide\n",
      "/software/rhel7/lib64/python2.7/site-packages/ipykernel/__main__.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": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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4ccIE9r/+OqawkA733MPAuXMJbNHChUcG4uVFz5dfxubrS+xnn5GyYYNLt+9p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\nqTw9dzNZeQUM6tyUxyf2wtfbvT+4Dye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n8XPNhELuWPUBCvNznCF7i/LJn9MlH1Kl9/wV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\nmfLeXAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10c1fed0>"
      ]
     },
     "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_GAMA09_frac_2nd_peak_vs_mag.png', format='png', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
