{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Building Stellar Populations" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "[![Open In Colab](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/ArtificialStellarPopulations/ArtPop/blob/main/colab_tutorials/pops.ipynb)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this tutorial, we demonstrate **ArtPop**’s built-in stellar population synthesis capability. Because of the modular design of the code, it is possible to build stellar populations independently from generating mock images. This is useful, for example, when you are only interested in calculating integrated photometric properties of the population. \n", "\n", "**Note:** To generate MIST synthetic photometry using **ArtPop**, [MIST isochrone grids](../getting_started/mist.rst) are required. The first time you use a MIST grid, **ArtPop** will download it and save it to your `MIST_PATH`. If this environment variable is not set, the grid(s) will be saved in `~/.artpop/mist`." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# Third-party imports \n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from astropy import units as u \n", "\n", "# Project import\n", "import artpop\n", "\n", "# artpop's matplotlib style\n", "plt.style.use(artpop.mpl_style)\n", "\n", "# use this random state for reproducibility\n", "rng = np.random.RandomState(112)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Simple Stellar Population (SSP)\n", "\n", "In **ArtPop**, the basic stellar population unit is the simple stellar population (SSP), which is a population of stars of a single age and metallicity. To synthesize an SSP, **ArtPop** samples stellar masses from a user-specified initial mass function (``imf``) and generates stellar magnitudes by interpolating synthetic photometry from an isochrone model.\n", "\n", "Here, we will use the MIST isochrone models using **ArtPop**'s built-in tools for fetching MIST synthetic photometry grids. To generate an SSP using MIST, we use the ``MISTSSP`` class:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "ssp = artpop.MISTSSP(\n", " log_age = 9, # log of age in years\n", " feh = -1, # metallicity [Fe/H]\n", " phot_system = 'LSST', # photometric system(s)\n", " num_stars = 1e5, # number of stars\n", " imf = 'kroupa', # default imf\n", " random_state = rng, # random state for reproducibility\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This generates a population of 10$^5$ stars of age 1 Gyr and metallicity [Fe/H] = -1 (a tenth the solar value). With ``phot_system = 'LSST'``, stellar magnitudes in the LSST _ugrizy_ photometric system are interpolated and stored in the ``ssp`` object. It is also possible to pass a list of photometric systems, e.g. ``['LSST', 'SDSSugriz']``, in which case magnitudes in both systems are interpolated and stored.\n", "\n", "For reference, the supported MIST photometric system names are stored in the variable ``phot_system_list``: " ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "['HST_WFC3',\n", " 'HST_ACSWF',\n", " 'SDSSugriz',\n", " 'CFHTugriz',\n", " 'DECam',\n", " 'HSC',\n", " 'JWST',\n", " 'LSST',\n", " 'UBVRIplus',\n", " 'UKIDSS',\n", " 'WFIRST']" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "artpop.phot_system_list" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The filter names for a given photometric system may be recovered using the ``get_filter_names`` function:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "['LSST_u', 'LSST_g', 'LSST_r', 'LSST_i', 'LSST_z', 'LSST_y']" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "artpop.get_filter_names('LSST')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Using the ``log_Teff`` and ``log_L`` attributes of ``ssp``, the HR-diagram for the population may be plotted like this:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 271, "width": 396 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(ssp.log_Teff, ssp.log_L, 'o', c='tab:red', mec='k')\n", "plt.gca().invert_xaxis()\n", "plt.minorticks_on()\n", "plt.xlabel(r'$\\log(\\mathrm{T_{eff}/K})$')\n", "plt.ylabel(r'$\\log(\\mathrm{L/L_\\odot})$');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Integrated Properties\n", "\n", "There are several methods for calculating integrated photometric properties of the population:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "M_i = -8.23\n", "SBF_i = -1.53\n", "g - i = 0.40\n" ] } ], "source": [ "print(f\"M_i = {ssp.total_mag('LSST_i'): .2f}\")\n", "print(f\"SBF_i = {ssp.sbf_mag('LSST_i'): .2f}\")\n", "print(f\"g - i = {ssp.integrated_color('LSST_g', 'LSST_i'): .2f}\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note the returned magnitudes are in absolute units. This is because by default the SSP is assumed to be at 10 pc. To change the distance, you can either pass ``distance`` as an argument when you initialize ``SSP``, or you can use the ``set_distance`` method: " ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "D = 10 kpc\n", "--------------\n", "m_i = 6.77\n", "sbf_i = 13.47\n", "g - i = 0.40\n", "\n", "D = 10 Mpc\n", "--------------\n", "m_i = 21.77\n", "sbf_i = 28.47\n", "g - i = 0.40\n" ] } ], "source": [ "# the distance can be given as a float or an astropy unit\n", "distance = 10 * u.kpc \n", "ssp.set_distance(distance)\n", "print(f'D = {distance:.0f}\\n--------------')\n", "print(f\"m_i = {ssp.total_mag('LSST_i'): .2f}\")\n", "print(f\"sbf_i = {ssp.sbf_mag('LSST_i'): .2f}\")\n", "print(f\"g - i = {ssp.integrated_color('LSST_g', 'LSST_i'): .2f}\")\n", "\n", "\n", "# if a float is given, the unit is assumed to be Mpc\n", "distance = 10\n", "ssp.set_distance(distance)\n", "print(f'\\nD = {distance} Mpc\\n--------------')\n", "print(f\"m_i = {ssp.total_mag('LSST_i'): .2f}\")\n", "print(f\"sbf_i = {ssp.sbf_mag('LSST_i'): .2f}\")\n", "print(f\"g - i = {ssp.integrated_color('LSST_g', 'LSST_i'): .2f}\")" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "D = 10.0 Mpc, m - M = 30.0\n" ] } ], "source": [ "# the distance and distance modulus are attributes\n", "print(f'D = {ssp.distance}, m - M = {ssp.dist_mod}')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Phase Masks" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "When using MIST SSPs, **ArtPop** uses the [Primary Equivalent Evolutionary Points (EEPs)](https://ui.adsabs.harvard.edu/abs/2016ApJS..222....8D/abstract) to identify the phase of stellar evolution of each star in the population. Use the ``select_phase`` method to generate a boolean mask that is set to ``True`` for stars in the given phase. " ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "['PMS',\n", " 'MS',\n", " 'giants',\n", " 'RGB',\n", " 'CHeB',\n", " 'AGB',\n", " 'EAGB',\n", " 'TPAGB',\n", " 'postAGB',\n", " 'WDCS']" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# available phases\n", "ssp.phases" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's plot the HR-diagram with different colors for the main sequence (MS), red giant branch (RGB), and asymptotic giant branch (note that here the subgiant branch is included in the RGB):" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 271, "width": 396 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# generate boolean phase masks\n", "MS = ssp.select_phase('MS')\n", "RGB = ssp.select_phase('RGB')\n", "AGB = ssp.select_phase('AGB')\n", "\n", "plt.plot(ssp.log_Teff[MS], ssp.log_L[MS], 'o', \n", " label='MS', c='tab:blue', mec='k')\n", "plt.plot(ssp.log_Teff[RGB], ssp.log_L[RGB], 'o', \n", " label='RGB + subgiant branch', \n", " c='tab:green', mec='k')\n", "plt.plot(ssp.log_Teff[AGB], ssp.log_L[AGB], 'o', \n", " label='AGB', c='tab:red', mec='k')\n", "\n", "plt.legend(loc='lower left')\n", "plt.gca().invert_xaxis()\n", "plt.minorticks_on()\n", "plt.xlabel(r'$\\log(\\mathrm{T_{eff}/K})$')\n", "plt.ylabel(r'$\\log(\\mathrm{L/L_\\odot})$');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Check out the [SSP](../api/artpop.stars.SSP.rst) API (or use tab complete) to see the full list of attributes and methods that are available." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Sampling an IMF\n", "\n", "As noted above, **ArtPop** is modular, which means all of its components can be used independently. For example, here we sample stellar masses from the [Kroupa initial mass function](https://ui.adsabs.harvard.edu/abs/2001MNRAS.322..231K/abstract):" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 271, "width": 406 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# sample the Kroupa IMF\n", "m_min = 0.08 # minimum mass\n", "m_max = 5.0 # maximum mass\n", "sampled_masses = artpop.sample_imf(1e6, imf='kroupa', \n", " m_min=m_min, m_max=m_max, \n", " random_state=rng)\n", "\n", "# plot histogram of sampled masses\n", "plt.hist(sampled_masses, bins='auto', color='lightgray', \n", " density=True, label='sampled masses')\n", "\n", "# plot the analytic Kroupa and Salpeter IMFs for comparison\n", "mass_grid = np.logspace(np.log10(m_min), np.log10(m_max), 1000)\n", "plt.loglog(mass_grid, artpop.kroupa(mass_grid, norm_type='number'), \n", " c='tomato', lw=3, label='Kroupa IMF')\n", "plt.loglog(mass_grid, artpop.salpeter(mass_grid, norm_type='number'), \n", " c='tab:blue', lw=3, label='Salpeter IMF')\n", "\n", "plt.legend()\n", "plt.xlabel('M/M$_\\odot$')\n", "plt.ylabel('dN/dM');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Composite Stellar Populations\n", "\n", "In **ArtPop**, building composite stellar populations (CSPs) composed of two or more SSPs is as simple adding together ``SSP`` objects. In this example, we'll create three SSPs $-$ an old, intermediate-age, and young population, which we will combine into a composite population." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "ssp_old = artpop.MISTSSP(\n", " log_age = 10.1, # log of age in years\n", " feh = -1.5, # metallicity [Fe/H]\n", " phot_system = 'LSST', # photometric system(s)\n", " num_stars = 5e5, # number of stars\n", " random_state = rng, # random state for reproducibility\n", ")\n", "\n", "ssp_intermediate = artpop.MISTSSP(\n", " log_age = 9.5, # log of age in years\n", " feh = -1, # metallicity [Fe/H]\n", " phot_system = 'LSST', # photometric system(s)\n", " num_stars = 1e5, # number of stars\n", " random_state = rng, # random state for reproducibility\n", ")\n", "\n", "ssp_young = artpop.MISTSSP(\n", " log_age = 8.5, # log of age in years\n", " feh = 0, # metallicity [Fe/H]\n", " phot_system = 'LSST', # photometric system(s)\n", " num_stars = 1e4, # number of stars\n", " random_state = rng, # random state for reproducibility\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We then intuitively combine the SSPs using the `+` operator:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n" ] } ], "source": [ "csp = ssp_old + ssp_intermediate + ssp_young\n", "print(type(csp))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "All of the ``SSP`` attributes and methods are available to `CSP` objects. Let's use the `star_mags` method to plot a color magnitude diagram for the CSP:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 271, "width": 392 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "i = csp.star_mags('LSST_i')\n", "g = csp.star_mags('LSST_g')\n", "plt.plot(g-i, i, 'o', c='blueviolet', mec='k')\n", "plt.gca().invert_yaxis()\n", "\n", "plt.xlabel(r'$g-i$')\n", "plt.ylabel(r'M$_i$');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Each SSP is labeled (1, 2, 3, etc.) from left to right in the ``csp`` definition. You can isolate each population like this:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 271, "width": 392 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "old = csp.ssp_labels == 1\n", "med = csp.ssp_labels == 2\n", "young = csp.ssp_labels == 3\n", "\n", "plt.plot(g[old] - i[old], i[old], 'o', \n", " c='tab:red', mec='k', label='old')\n", "plt.plot(g[med] - i[med], i[med], 'o', \n", " c='tab:green', mec='k', label='intermediate')\n", "plt.plot(g[young] - i[young], i[young], 'o', \n", " c='tab:blue', mec='k', label='young')\n", "\n", "plt.legend(loc='center right')\n", "plt.minorticks_on()\n", "plt.gca().invert_yaxis()\n", "plt.xlabel(r'$g-i$')\n", "plt.ylabel(r'M$_i$');" ] } ], "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": "3.6.13" } }, "nbformat": 4, "nbformat_minor": 4 }