{ "cells": [ { "cell_type": "markdown", "id": "d3929367-e0df-43b9-9c46-f09d5fdb0071", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "# Working with Star Formation Histories\n", "\n", "In this example we will see how to create a star formation history that contains information about the star formation rate and properties of the stellar population over time. Each SFH object contains information about four different variables that can change over time:\n", "\n", "* Star Formation Rate (SFR), typically measured as Msun/yr dictates how much stellar mass is formed per unit time. There are some utilities in the SFH module to compute some typical shapes of SFR. It can also be set up by the user using `sfr_custom`.\n", "* Metallicity, in dex\n", "* [alpha/Fe], in dex\n", "* IMF slope\n", "\n", "Once the SFH is completely described, it can be given as an input to a SSP library (such as MILES) to generate the associated spectra.\n", "\n", "## Changing `milespy` configuration\n", "\n", "The configuration of `milespy` can be changed either from a configuration file or directly with environent variables.\n", "The most important one is to define in which **pre-existing** folder the repository are located.\n", "\n", "Do not worry! If it can not find the hdf5 files, it will try to download them automatically." ] }, { "cell_type": "code", "execution_count": 1, "id": "f9e9839a-3756-4880-97e7-acc9d97c0b56", "metadata": {}, "outputs": [], "source": [ "import os\n", "os.environ['MILESPY_REPOSITORY_FOLDER'] = '/tmp/'" ] }, { "cell_type": "markdown", "id": "6231080b-6a76-48fb-a96e-13c34236ee4f", "metadata": {}, "source": [ "## Initialize\n", "\n", "Generate the base sfh object, which then can be modified to obtain the desired star formation history and the associated spectra." ] }, { "cell_type": "markdown", "id": "26245974-90b1-4a7e-a027-3e0279a17852", "metadata": {}, "source": [ "## Configure\n", "* Select the age range we want" ] }, { "cell_type": "code", "execution_count": 2, "id": "66be05c0-fa27-409d-a598-d46c024423d6", "metadata": {}, "outputs": [], "source": [ "from milespy import SFH\n", "import astropy.units as u\n", "import numpy as np\n", "sfh = SFH(\n", " time = np.linspace(0.03, 13.5, 30) << u.Gyr\n", ")" ] }, { "cell_type": "markdown", "id": "91a8cbac-5db5-421a-9057-1e7426a27994", "metadata": {}, "source": [ "* Define the SFR" ] }, { "cell_type": "code", "execution_count": 3, "id": "409496e5-b990-4226-b8e7-ff0a9bb10881", "metadata": {}, "outputs": [], "source": [ "sfh.sfr_tau(start=11*u.Gyr, tau=1.5*u.Gyr, mass=1e10*u.Msun)" ] }, { "cell_type": "markdown", "id": "b9fcb1fc-b1cf-474e-90ed-10395739911f", "metadata": { "jp-MarkdownHeadingCollapsed": true }, "source": [ "* Metallicity evolution" ] }, { "cell_type": "code", "execution_count": 4, "id": "e9639cf1-e5ce-4920-8ee7-a90db7167ba6", "metadata": {}, "outputs": [], "source": [ "sfh.met_sigmoid(start=-2.1*u.dex, end=0.2*u.dex, tc=10*u.Gyr, gamma=2.0/u.Gyr)" ] }, { "cell_type": "markdown", "id": "71a089f3-fe2f-4efe-86ef-c94fbe4d663a", "metadata": { "jp-MarkdownHeadingCollapsed": true }, "source": [ "* [alpha/Fe] evolution" ] }, { "cell_type": "code", "execution_count": 5, "id": "31e80fde-c41f-46c4-813d-ed71f734dade", "metadata": {}, "outputs": [], "source": [ "sfh.alpha_sigmoid(start=0.4*u.dex, end=0.0*u.dex, tc=10*u.Gyr)" ] }, { "cell_type": "markdown", "id": "7fde8a04-3722-42fa-9f7d-49c628031cd5", "metadata": { "jp-MarkdownHeadingCollapsed": true }, "source": [ "* IMF evolution" ] }, { "cell_type": "code", "execution_count": 6, "id": "67dcff1c-ad38-40b2-9d1f-b9043ac3e0ca", "metadata": {}, "outputs": [], "source": [ "sfh.imf_linear(start=0.5, end=2.3, t_start=11.5*u.Gyr, t_end=9.0*u.Gyr)" ] }, { "cell_type": "markdown", "id": "e3d20a38-0bc5-48d9-8376-cc7ffda44e51", "metadata": {}, "source": [ "## Explore the SFH" ] }, { "cell_type": "code", "execution_count": 7, "id": "0736a567-cd4d-4e06-8c9a-b735f539a2cb", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [ "nbsphinx-thumbnail" ] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "<Figure size 640x480 with 4 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "from astropy.visualization import quantity_support\n", "quantity_support()\n", "\n", "f, axs = plt.subplots(2,2)\n", "axs[0,1].plot(sfh.time, sfh.imf, label=\"IMF slope\")\n", "axs[1,0].plot(sfh.time, sfh.met, label=\"[M/H]\")\n", "axs[0,0].plot(sfh.time, sfh.sfr, label=\"SFR\")\n", "axs[1,1].plot(sfh.time, sfh.alpha, label=\"SFR\")\n", "\n", "for ax in axs.flatten():\n", " ax.legend(fontsize=18, fancybox=False, frameon=False, handlelength=0)\n", "plt.xlabel(\"Look-back time\")\n", "plt.tight_layout()\n" ] }, { "cell_type": "markdown", "id": "6def7b8f-bd8f-4730-9d0a-71c0d2587a78", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "## Generate the predictions" ] }, { "cell_type": "code", "execution_count": 8, "id": "0443dc63-ee8f-40fd-b41a-4b1d83b75595", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "milespy.repository: Unable to locate repository\n", "WARNING:milespy.repository:Unable to locate repository\n" ] }, { "name": "stdin", "output_type": "stream", "text": [ "Do you want to download the MILES_SSP_v9.1 repository? [y/n]: y\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████████████████████████████████████████████████████████████████████████████████████████| 1.24G/1.24G [00:14<00:00, 88.5MB/s]\n", "100%|███████████████████████████████████████████████████████████████████████████████████████████████████| 30/30 [00:06<00:00, 4.54it/s]\n" ] } ], "source": [ "from milespy import SSPLibrary\n", "miles = SSPLibrary(\n", " source=\"MILES_SSP\",\n", " version=\"9.1\",\n", " imf_type=\"bi\",\n", " isochrone=\"T\",\n", ")\n", "pred = miles.from_sfh(sfh)" ] }, { "cell_type": "markdown", "id": "b94484e3-2f33-438b-ae5a-625b987f7cca", "metadata": {}, "source": [ "## Explore the results" ] }, { "cell_type": "code", "execution_count": 9, "id": "01cc899a-8e6d-4783-8145-e4c4beffbe79", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Mass-weighted age 9.440998452580914 Gyr\n", "Mass-weighted [M/H] -0.7765792334603822 dex\n" ] } ], "source": [ "print(\"Mass-weighted age\", pred.age)\n", "print(\"Mass-weighted [M/H]\", pred.met)" ] }, { "cell_type": "code", "execution_count": 10, "id": "6e7b6f73-17c2-4e21-b5c5-aefa3c3d9a9c", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "M/L g-band [0.39644278]\n" ] } ], "source": [ "import milespy.filter as flib\n", "filts = flib.get( flib.search(\"SLOAN_SDSS.g\") )\n", "outmls = pred.mass_to_light(filters=filts, mass_in=\"star+remn\")\n", "\n", "print(\"M/L g-band\", outmls[\"SLOAN_SDSS.g\"])" ] }, { "cell_type": "markdown", "id": "def5e502-22dd-4863-a433-6cccad3a987a", "metadata": {}, "source": [ "And also the associated spectra" ] }, { "cell_type": "code", "execution_count": 11, "id": "5aba324c-1641-4e5e-86c4-e7af3c3cd2bf", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "<Figure size 640x480 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(pred.spectral_axis, pred.flux)\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "3d88ee9b-5b0c-4212-8d10-7ee91c3a893d", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.10.12" } }, "nbformat": 4, "nbformat_minor": 5 }