{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Using matplotlib to plot over existing Figures" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Shortly before Christmas a paper by Nathalia Cibirka and colleagues appeared as [arXiv:1612.06871](https://arxiv.org/abs/1612.06871) in which she studies the concentration of galaxy clusters using weak lensing. This topic is very close to my research interests and I immediately skimmed through the paper. The primary question in my mind was whether their results are compatible with an upturn in concentration at high claimed for example by the popular mass-concentration relation of [Diemer & Kravtsov (2015, DK15)](https://arxiv.org/abs/1407.4730).\n", "\n", "It turns out, the DK15 relation is not included in the Cibirka+16 paper. So I decided to quickly overplot it myself on their data. The ability to do so using just their figure surprised some of my colleagues. This blog post shows how and puts it squarely at the intersection of galaxy cluster physics and matplotlib examples, which should ensure that the interested audience is really small.\n", "\n", "We start by downloading the source package of the paper from [arXiv](https://arxiv.org/format/1701.02734v1). Inside we find a jpg file for their Figure 12. ![Figure 12](data/compare_simul_photoz.jpg)\n", "\n", "We want to add the DK15 mass-concentration relation to this plot without having access to their MC chains or recomputing the M-c relations already present. Let's first start by computing the DK15 relation. Fortunately Benedikt Diemer published his [COLOSSUS](http://www.benediktdiemer.com/code/) code ([Diemer 2015](http://adsabs.harvard.edu/abs/2015ascl.soft01016D)) so we can just use this." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAZIAAAEaCAYAAAA7YdFPAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nIiIJUSIREZGE/D8I+rc2762V3QAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "from colossus.cosmology import cosmology\n", "from colossus.halo import concentration\n", "params = {'flat': True, 'H0': 100, 'Om0': 0.27, 'Ob0': 0.046,\n", " 'sigma8': 0.81, 'ns': 0.95}\n", "cosmology.setCosmology('myCosmo', params)\n", "m200 = 10**np.linspace(14.4, 15.2)\n", "c = concentration.modelDiemer15fromM(m200, 0.5)\n", "plt.plot(np.log10(m200), c, \"b--\", linewidth=2, label='Diemer \\& Kravtsov 2015')\n", "plt.legend(loc='upper left', frameon=False)\n", "plt.xlabel(r\"$\\log_{10}M_\\odot h^{-1}$\")\n", "plt.ylabel(r\"$c$\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We successfully computed the DK15 M-c relation and are able to plot it in a figure of its own. Now how do we get it into the existing plot?\n", "\n", "The idea is to load the original figure as an image and use matplotlib to display it. If we know how to transform from matplotlib's coordinate system to the figure coordinates we can add to the existing plot. As a first step I opened Cibirka's figure in [GIMP](www.gimp.org) but any other graphics editor will do. Then I cropped the image to the retain only the plotting region.\n", "\n", "![Cropped Figure](data/compare_simul_photoz_cropped.jpg)\n", "\n", "Now we know the exact locations of the picture corners: 14.4 and 15.2 in logarithmic cluster mass, and 1 and 8 concentration. We can use this knowledge to set up the matplotlib coordinate system." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAnYAAAH9CAYAAACXyzF/AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from scipy.misc import imread\n", "im = imread(\"data/compare_simul_photoz_cropped.jpg\")\n", "plt.figure(figsize=(16,8))\n", "# Make sure the figure axis ratio is preserved by adapting the \n", "# aspect ratio to the axis range\n", "xmin, xmax, ymin, ymax = (14.4, 15.2, 1, 8)\n", "aspect = im.shape[0] / im.shape[1] * (xmax - xmin)/(ymax - ymin)\n", "plt.imshow(im, zorder=0, extent=[xmin, xmax, ymin, ymax], aspect=aspect)\n", "plt.plot(np.log10(m200), c, \"b--\", linewidth=4, label='Diemer \\& Kravtsov 2015',\n", " zorder=1)\n", "plt.legend(loc='lower right', frameon=False)\n", "plt.xlabel(r\"$\\log_{10}M_\\odot h^{-1}$\", fontsize=24)\n", "plt.ylabel(r\"$c$\",fontsize=24)\n", "plt.axis([xmin, xmax, ymin, ymax]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It worked! The only tricky bit here was to set the aspect ratio, where we needed to know the size of the cropped image in pixels and the extent of the coordinate system. There's a bit of mismatch between coordinates left at right and top of the plot but this is certainly small enough for a quick but meaningful interpretation.\n", "\n", "As we can see, the DK15 M-c relation is compatible with the measurements of Cibirka et al. This is not too surprising given the relatively large uncertainty of the measurement compared to the spread among the models. This is already in a regime where DK15 -- due to its upturn -- differs strongly from the still very popular Duffy et al. relation. It will be interesting to see what it takes to improves the constraints to a level that we can rule out one or the other." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "This blog post is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License. This post was written as a Jupyter Notebook in Python. You can download the original notebook." ] } ], "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": "3.5.1" } }, "nbformat": 4, "nbformat_minor": 0 }