{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Tutorial 1: Calibrating the Age--Vertical Action Model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We know that stellar age is correlated with certain galactic kinematic properties, including the vertical action (J_z). Since we can calculate the vertical action for virtually all stars in the Gaia catalogue with a radial velocity, we can use this information to constrain stellar ages kinematically (even for very-low-mass stars).\n", "\n", "In this tutorial, we will calibrate the dynamical stellar age relation using the vertical action calculated from Gaia data, and an independent source of stellar age. Here, we using asteroseismic ages for red giant branch stars. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Before running this tutorial, please download and unzip the `data.zip` file from [the Zenodo database](https://zenodo.org/records/10806816), and move the folder to the current directory. \n", "\n", "### This file contains the example data necessary to run this tutorial." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from astropy.table import Table\n", "import jax.numpy as jnp\n", "\n", "import zoomies\n", "\n", "%load_ext autoreload\n", "%autoreload 2\n", "\n", "plt.rcParams['figure.figsize'] = [12, 8]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Stokholm RGB Sample" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First, we read in a calibration sample of red giant branch stars with asteroseismic ages, crossmatched with Gaia. **Please download the data files (data.zip) from https://zenodo.org/records/10806816, unzip, and place the data folder into this directory!**\n", "\n", "We're using the table of stellar ages from [Stokholm et al. 2023](https://ui.adsabs.harvard.edu/abs/2023MNRAS.524.1634S/abstract). We have previously crossmatched and appended the Gaia DR3 data columns to this table.\n", "\n", "If you choose to use your own stellar age calibration dataset, you'll need to ensure that you include the stellar ages along with the Gaia ra, dec, parallax, pmra, pmdec, and radial velocity data columns." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "xmatch = Table.read('data/StokholmRGB_GaiaXmatch.csv')\n", "\n", "# Getting rid of negative parallaxes\n", "xmatch = xmatch[xmatch['parallax'] > 0]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The function ``calc_jz()`` calculates and saves actions (J_z, J_r, and J_phi) for the calibration stellar sample. The function assumes a Milky Way model from `gala` and wraps the `agama.ActionFinder()` method.\n", "\n", "We are using the MilkyWayPotential2022 model built into ``gala.dynamics``.\n", "\n", "We are re-saving the calibration table with new action columns via the ``calc_jz`()` function." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/anaconda3/envs/zoomies_test_2/lib/python3.14/site-packages/gala/potential/potential/builtin/special.py:257: GalaFutureWarning: The MilkyWayPotential2022 class will be deprecated soon. Instead, use: MilkyWayPotential(version=\"v2\") to get what is currently the MilkyWayPotential2022 class. Or, to always use the latest Milky Way model in Gala, you can call the class with no arguments MilkyWayPotential() or specify MilkyWayPotential(version=\"latest\")\n", " warnings.warn(\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Calculating actions with galpy...\n", "/opt/anaconda3/envs/zoomies_test_2/lib/python3.14/site-packages/astropy/units/quantity.py:648: RuntimeWarning: invalid value encountered in sqrt\n", " result = super().__array_ufunc__(function, method, *arrays, **kwargs)\n", "\n", "/opt/anaconda3/envs/zoomies_test_2/lib/python3.14/site-packages/astropy/units/quantity.py:1879: RuntimeWarning: Mean of empty slice\n", " return super().__array_function__(function, types, args, kwargs)\n", "\n" ] } ], "source": [ "zoomies.calc_jz(xmatch, mwmodel='2022', method='galpy', write=True, fname='data/StokholmRGB_GaiaXmatch_WithActions_2022.fits')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's read the saved table with actions back in:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "xmatch = Table.read('data/StokholmRGB_GaiaXmatch_WithActions_2022.fits')" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "# Filter out Nan Jzs\n", "xmatch = xmatch[~np.isnan(xmatch['Jz'])]\n", "\n", "# Filter out unreasonably large Jzs\n", "xmatch = xmatch[np.log(xmatch['Jz']) < 20]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We'll calculate an age error column from the percentile values given. We also don't want any negative or zero age errors." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "xmatch['age_err'] = np.nanmean((xmatch['LOWER_ERROR_AGE_BASTA']/1000, xmatch['UPPER_ERROR_AGE_BASTA']/1000), axis=0)\n", "xmatch = xmatch[xmatch['age_err'] > 0]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For convenience, we'll define age, ln(J_z), and age error variables from the table." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "age = np.array(xmatch['AGE_BASTA'])/1000 # Age in Gyr\n", "lnJz = np.array(np.log(xmatch['Jz']))\n", "age_err = np.array(xmatch['age_err'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's take a look at the calibration sample in age--action space. We can already see the rough age--action trend: as stars get older, ln(Jz) increases." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'RGB Calibration Sample')" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Calibration sample in age-lnJz space\n", "plt.scatter(lnJz, age, s=3)\n", "plt.xlabel('lnJz')\n", "plt.ylabel('Age (Gyr)')\n", "plt.title('RGB Calibration Sample')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Calibrating the monotonic age-lnJz spline model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First, let's instantiate a ``zoomies.KinematicAgeSpline`` object using the age, age_error, and lnJz variables we defined above. The``KinematicAgeSpline`` object holds the calibration sample (action, age, and age error) and includes methods to fit a monotonic spline model to the sample." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "RGBspline = zoomies.KinematicAgeSpline(jnp.array(lnJz), jnp.array(age), jnp.array(age_err))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With ``KinematicAgeSpline.fit_mono_spline``, you can fit the age--action model (including a monotonic age--lnJz spline) using the calibration sample in one step.\n", "\n", "For detailed information on the spline parameters (and why we chose them), see the paper [Sagear et al. (2024)](https://iopscience.iop.org/article/10.3847/1538-4357/ad8b26)." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Fitting line...\n", "/opt/anaconda3/envs/zoomies_test_2/lib/python3.14/site-packages/jax_cosmo/__init__.py:2: UserWarning: pkg_resources is deprecated as an API. See https://setuptools.pypa.io/en/latest/pkg_resources.html. The pkg_resources package is slated for removal as early as 2025-11-30. Refrain from using this package or pin to Setuptools<81.\n", " from pkg_resources import DistributionNotFound\n", "\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "a47759918bee4966ba9fa3a0c7068068", "version_major": 2, "version_minor": 0 }, "text/plain": [ " 0%| | 0/4000 [00:00" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.hist2d(RGBspline.lnJz, RGBspline.age, bins=(np.linspace(-4, 6, 32), np.linspace(0, 14, 32)), cmap='Blues')\n", "plt.plot(RGBspline.eval_spline, RGBspline.grid, color='red', label='RGBspline fit', lw=2)\n", "\n", "plt.ylabel('Age (Gyr)', fontsize=15);\n", "plt.xlabel('$ln(J_z)$', fontsize=15);\n", "plt.colorbar(label='# density');\n", "plt.legend()\n", "plt.title('Age vs. $ln(J_z)$', fontsize=15)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can take a look at the sample statistics for the best-fit spline model using ``KinematicAgeSpline.inf_data``:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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meansdhdi_3%hdi_97%mcse_meanmcse_sdess_bulkess_tailr_hat
V1.3250.0141.2981.3520.0000.0004955.02987.01.0
age_knot_vals[0]1.3400.0461.2521.4250.0010.0011873.02465.01.0
age_knot_vals[1]0.1720.0110.1520.1920.0000.0001660.02352.01.0
age_knot_vals[2]0.1190.0110.0980.1390.0000.0001725.02150.01.0
age_knot_vals[3]0.0840.0120.0620.1060.0000.0002443.02394.01.0
age_knot_vals[4]0.0160.0150.0000.0430.0000.0003381.02132.01.0
dens_knot_vals[0]-9.7170.286-10.000-9.2050.0040.0073412.02266.01.0
dens_knot_vals[1]4.6060.0854.4454.7620.0010.0014230.02341.01.0
dens_knot_vals[2]7.0290.0316.9687.0890.0000.0015114.03083.01.0
dens_knot_vals[3]7.3790.0267.3327.4310.0000.0004870.02906.01.0
dens_knot_vals[4]7.4470.0257.4007.4930.0000.0005556.02692.01.0
dens_knot_vals[5]7.4620.0257.4187.5100.0000.0005611.02871.01.0
dens_knot_vals[6]7.3170.0267.2727.3680.0000.0006104.02774.01.0
dens_knot_vals[7]7.2210.0277.1697.2700.0000.0005641.03260.01.0
dens_knot_vals[8]7.2360.0277.1867.2880.0000.0005126.03025.01.0
dens_knot_vals[9]7.2160.0287.1627.2670.0000.0005227.02431.01.0
dens_knot_vals[10]7.0830.0297.0297.1390.0000.0015068.02759.01.0
dens_knot_vals[11]6.9800.0316.9207.0360.0000.0004500.02975.01.0
dens_knot_vals[12]6.8610.0336.8046.9270.0000.0014392.02815.01.0
dens_knot_vals[13]6.4900.0436.4076.5710.0010.0014936.02935.01.0
dens_knot_vals[14]-0.2170.430-1.0190.5950.0070.0074352.02691.01.0
lnV0.2810.0110.2620.3020.0000.0004956.02987.01.0
\n", "
" ], "text/plain": [ " mean sd hdi_3% hdi_97% mcse_mean mcse_sd \\\n", "V 1.325 0.014 1.298 1.352 0.000 0.000 \n", "age_knot_vals[0] 1.340 0.046 1.252 1.425 0.001 0.001 \n", "age_knot_vals[1] 0.172 0.011 0.152 0.192 0.000 0.000 \n", "age_knot_vals[2] 0.119 0.011 0.098 0.139 0.000 0.000 \n", "age_knot_vals[3] 0.084 0.012 0.062 0.106 0.000 0.000 \n", "age_knot_vals[4] 0.016 0.015 0.000 0.043 0.000 0.000 \n", "dens_knot_vals[0] -9.717 0.286 -10.000 -9.205 0.004 0.007 \n", "dens_knot_vals[1] 4.606 0.085 4.445 4.762 0.001 0.001 \n", "dens_knot_vals[2] 7.029 0.031 6.968 7.089 0.000 0.001 \n", "dens_knot_vals[3] 7.379 0.026 7.332 7.431 0.000 0.000 \n", "dens_knot_vals[4] 7.447 0.025 7.400 7.493 0.000 0.000 \n", "dens_knot_vals[5] 7.462 0.025 7.418 7.510 0.000 0.000 \n", "dens_knot_vals[6] 7.317 0.026 7.272 7.368 0.000 0.000 \n", "dens_knot_vals[7] 7.221 0.027 7.169 7.270 0.000 0.000 \n", "dens_knot_vals[8] 7.236 0.027 7.186 7.288 0.000 0.000 \n", "dens_knot_vals[9] 7.216 0.028 7.162 7.267 0.000 0.000 \n", "dens_knot_vals[10] 7.083 0.029 7.029 7.139 0.000 0.001 \n", "dens_knot_vals[11] 6.980 0.031 6.920 7.036 0.000 0.000 \n", "dens_knot_vals[12] 6.861 0.033 6.804 6.927 0.000 0.001 \n", "dens_knot_vals[13] 6.490 0.043 6.407 6.571 0.001 0.001 \n", "dens_knot_vals[14] -0.217 0.430 -1.019 0.595 0.007 0.007 \n", "lnV 0.281 0.011 0.262 0.302 0.000 0.000 \n", "\n", " ess_bulk ess_tail r_hat \n", "V 4955.0 2987.0 1.0 \n", "age_knot_vals[0] 1873.0 2465.0 1.0 \n", "age_knot_vals[1] 1660.0 2352.0 1.0 \n", "age_knot_vals[2] 1725.0 2150.0 1.0 \n", "age_knot_vals[3] 2443.0 2394.0 1.0 \n", "age_knot_vals[4] 3381.0 2132.0 1.0 \n", "dens_knot_vals[0] 3412.0 2266.0 1.0 \n", "dens_knot_vals[1] 4230.0 2341.0 1.0 \n", "dens_knot_vals[2] 5114.0 3083.0 1.0 \n", "dens_knot_vals[3] 4870.0 2906.0 1.0 \n", "dens_knot_vals[4] 5556.0 2692.0 1.0 \n", "dens_knot_vals[5] 5611.0 2871.0 1.0 \n", "dens_knot_vals[6] 6104.0 2774.0 1.0 \n", "dens_knot_vals[7] 5641.0 3260.0 1.0 \n", "dens_knot_vals[8] 5126.0 3025.0 1.0 \n", "dens_knot_vals[9] 5227.0 2431.0 1.0 \n", "dens_knot_vals[10] 5068.0 2759.0 1.0 \n", "dens_knot_vals[11] 4500.0 2975.0 1.0 \n", "dens_knot_vals[12] 4392.0 2815.0 1.0 \n", "dens_knot_vals[13] 4936.0 2935.0 1.0 \n", "dens_knot_vals[14] 4352.0 2691.0 1.0 \n", "lnV 4956.0 2987.0 1.0 " ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import arviz as az\n", "az.summary(RGBspline.inf_data)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's write the calibrated model to a directory:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "RGBspline.write(directory='../RGB_spline_model/')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And read it back in just for fun" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "RGBnewspline = zoomies.read(directory='../RGB_spline_model/')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "``RGBnewspline`` has all the same attributes as ``RGBspline``, so you can fit the model once, read it in, and use it again and again to generate age predictions for other stars." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "RGBnewspline.evaluate_spline()" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Age vs. $ln(J_z)$')" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.hist2d(RGBnewspline.lnJz, RGBnewspline.age, bins=(np.linspace(-4, 6, 32), np.linspace(0, 15, 32)), cmap='Blues')\n", "plt.plot(RGBnewspline.eval_spline, RGBnewspline.grid, color='red', label='Spline fit', lw=2)\n", "\n", "plt.ylabel('Age (Gyr)', fontsize=15);\n", "plt.xlabel('$ln(J_z)$', fontsize=15);\n", "plt.colorbar(label='# density');\n", "plt.legend()\n", "plt.title('Age vs. $ln(J_z)$', fontsize=15)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Using the ``KinematicAgeSpline.evaluate_ages()`` function, you can generate a predicted age probability distribution for any value of ln($J_z$).\n", "\n", "``KinematicAgeSpline.evaluate_ages()`` returns two things:\n", "\n", "``eval_grid`` is the test age array upon which the age probabilities are evaluated. The test age array consists of evenly sampled ages between 0 and 14 Gyr, and can be changed.\n", "\n", "``eval_pdf`` is the kinematic age probability at each point in ``eval_grid``.\n", "\n", "**Plotting ``eval_pdf`` vs. ``eval_grid`` gives you the kinematic age probability density function.**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's start by creating age probability distributions for some test ln(Jz) values, just to see what they look like:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "# evaluate_ages() takes an argument of ln(Jz).\n", "\n", "eval_grid, RGBeval_pdf_m3 = RGBnewspline.evaluate_ages(-3)\n", "_, RGBeval_pdf_m1 = RGBnewspline.evaluate_ages(-1)\n", "_, RGBeval_pdf_0 = RGBnewspline.evaluate_ages(0)\n", "_, RGBeval_pdf_1 = RGBnewspline.evaluate_ages(1)\n", "_, RGBeval_pdf_2 = RGBnewspline.evaluate_ages(2)\n", "_, RGBeval_pdf_3 = RGBnewspline.evaluate_ages(3)\n", "_, RGBeval_pdf_4 = RGBnewspline.evaluate_ages(4)\n", "_, RGBeval_pdf_5 = RGBnewspline.evaluate_ages(5)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Age Predictions for Test $ln(J_z) Values$')" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Install seaborn if you haven't already!\n", "import seaborn as sns\n", "\n", "plt.plot(eval_grid, RGBeval_pdf_m3, label='$ln(J_z)=-3$', color=sns.color_palette(\"mako_r\").as_hex()[0], linewidth=2)\n", "plt.plot(eval_grid, RGBeval_pdf_m1, label='$ln(J_z)=-1$', color=sns.color_palette(\"mako_r\").as_hex()[1], linewidth=2)\n", "plt.plot(eval_grid, RGBeval_pdf_1, label='$ln(J_z) = 1 $', color=sns.color_palette(\"mako_r\").as_hex()[2], linewidth=2)\n", "plt.plot(eval_grid, RGBeval_pdf_3, label='$ln(J_z) = 3 $', color=sns.color_palette(\"mako_r\").as_hex()[3], linewidth=2)\n", "plt.plot(eval_grid, RGBeval_pdf_5, label='$ln(J_z) = 5 $', color=sns.color_palette(\"mako_r\").as_hex()[4], linewidth=2)\n", "\n", "plt.fill_between(eval_grid, RGBeval_pdf_m3, 0, color=sns.color_palette(\"mako_r\").as_hex()[0], alpha=.5)\n", "plt.fill_between(eval_grid, RGBeval_pdf_m1, 0, color=sns.color_palette(\"mako_r\").as_hex()[1], alpha=.5)\n", "plt.fill_between(eval_grid, RGBeval_pdf_1, 0, color=sns.color_palette(\"mako_r\").as_hex()[2], alpha=.5)\n", "plt.fill_between(eval_grid, RGBeval_pdf_3, 0, color=sns.color_palette(\"mako_r\").as_hex()[3], alpha=.5)\n", "plt.fill_between(eval_grid, RGBeval_pdf_5, 0, color=sns.color_palette(\"mako_r\").as_hex()[4], alpha=.5)\n", "\n", "plt.legend()\n", "\n", "plt.xlabel('Age (Gyr)')\n", "plt.ylabel('PDF')\n", "\n", "plt.xlim(0,14)\n", "\n", "plt.title('Age Predictions for Test $ln(J_z) Values$')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For any star with Gaia data (including radial velocity), you can calculate a ln(Jz) value using the ``zoomies.calc_jz()`` function. See how to generate age probability distributions for other stars in the next tutorial, ``get_age_predictions.ipynb``." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## StarHorse APOGEE Sample (MSTO)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, we're going to do the exact same thing as above using a different calibration sample. This is a sample of main-sequence turn-off stars with isochrone ages from the StarHorse catalog [Queiroz et al. (2023)](https://ui.adsabs.harvard.edu/abs/2023A&A...673A.155Q). This is intended to show that you can really use any calibration sample you want, given that it's large enough, has reasonably precise independent age measurements, and shows a distinct age--vertical action trend." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Read in data and calculate actions" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "/opt/anaconda3/envs/zoomies_test_2/lib/python3.14/site-packages/gala/potential/potential/builtin/special.py:257: GalaFutureWarning: The MilkyWayPotential2022 class will be deprecated soon. Instead, use: MilkyWayPotential(version=\"v2\") to get what is currently the MilkyWayPotential2022 class. Or, to always use the latest Milky Way model in Gala, you can call the class with no arguments MilkyWayPotential() or specify MilkyWayPotential(version=\"latest\")\n", " warnings.warn(\n", "\n", "Calculating actions with galpy...\n", "/opt/anaconda3/envs/zoomies_test_2/lib/python3.14/site-packages/astropy/units/quantity.py:648: RuntimeWarning: invalid value encountered in sqrt\n", " result = super().__array_ufunc__(function, method, *arrays, **kwargs)\n", "\n", "/opt/anaconda3/envs/zoomies_test_2/lib/python3.14/site-packages/astropy/units/quantity.py:1879: RuntimeWarning: Mean of empty slice\n", " return super().__array_function__(function, types, args, kwargs)\n", "\n" ] } ], "source": [ "# Reading calibration sample of MSTO stars with ages, crossmatched with Gaia\n", "starhorse_apogee = Table.read('data/StarHorse_APOGEE_composite.ecsv')\n", "starhorse_apogee = starhorse_apogee[starhorse_apogee['StarHorse_AGE_INOUT'] != 'Warn_diff_inout']\n", "\n", "# No negative parallaxes\n", "starhorse_apogee = starhorse_apogee[starhorse_apogee['parallax'] > 0]\n", "\n", "# Calculate actions for calibration stars and save\n", "# This step will take a while for large samples\n", "zoomies.calc_jz(starhorse_apogee, mwmodel='2022', method='galpy', write=True, fname='data/StarHorse_APOGEE_composite_WithActions_2022.fits')" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [], "source": [ "# Read table back in\n", "starhorse_apogee = Table.read('data/StarHorse_APOGEE_composite_WithActions_2022.fits')\n", "\n", "# No Nan Jzs\n", "starhorse_apogee = starhorse_apogee[~np.isnan(starhorse_apogee['Jz'])]\n", "\n", "# No Unreasonably large Jzs\n", "starhorse_apogee = starhorse_apogee[np.log(starhorse_apogee['Jz']) < 20]\n", "\n", "# Calculate an age error column -- we don't want negative or zero age errors.\n", "starhorse_apogee['age_err'] = np.array(np.nanmean((starhorse_apogee['age50']-starhorse_apogee['age16'], starhorse_apogee['age84']-starhorse_apogee['age50']), axis=0))\n", "starhorse_apogee = starhorse_apogee[starhorse_apogee['age_err'] > 0]\n", "\n", "# Write filtered table again -- now can read in the table without doing any more cuts\n", "starhorse_apogee.write('data/StarHorse_APOGEE_composite_WithActions_2022.fits', overwrite=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Start from here if you don't want to do all the calculations again" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [], "source": [ "starhorse_apogee = Table.read('data/StarHorse_APOGEE_composite_WithActions_2022.fits')" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [], "source": [ "age = np.array(starhorse_apogee['age50'])\n", "age_err = np.mean((starhorse_apogee['age50'] - starhorse_apogee['age16'], starhorse_apogee['age84'] - starhorse_apogee['age50']), axis=0)\n", "lnJz = np.array(np.log(starhorse_apogee['Jz']))" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'MSTO Calibration Sample')" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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meansdhdi_3%hdi_97%mcse_meanmcse_sdess_bulkess_tailr_hat
V1.2440.0101.2261.2620.0000.0005537.02637.01.0
age_knot_vals[0]-0.6480.053-0.743-0.5460.0010.0012227.02737.01.0
age_knot_vals[1]0.2950.0110.2740.3160.0000.0002099.02708.01.0
age_knot_vals[2]0.1610.0080.1470.1760.0000.0002325.02844.01.0
age_knot_vals[3]0.1020.0110.0820.1210.0000.0003531.03046.01.0
age_knot_vals[4]0.0140.0140.0000.0380.0000.0003560.01660.01.0
dens_knot_vals[0]-9.3500.628-10.000-8.1760.0080.0133908.01964.01.0
dens_knot_vals[1]3.3320.1613.0263.6220.0020.0025456.03225.01.0
dens_knot_vals[2]5.6670.0525.5675.7660.0010.0016134.02833.01.0
dens_knot_vals[3]7.6110.0237.5677.6560.0000.0006357.03316.01.0
dens_knot_vals[4]7.9650.0207.9298.0030.0000.0006340.02895.01.0
dens_knot_vals[5]7.8400.0207.8037.8780.0000.0006028.03170.01.0
dens_knot_vals[6]7.9920.0197.9568.0260.0000.0006185.03124.01.0
dens_knot_vals[7]8.2560.0178.2268.2900.0000.0006234.02695.01.0
dens_knot_vals[8]8.0660.0178.0358.0980.0000.0007004.03103.01.0
dens_knot_vals[9]8.8210.0148.7958.8470.0000.0006322.03046.01.0
dens_knot_vals[10]7.8270.0197.7927.8640.0000.0005508.03288.01.0
dens_knot_vals[11]7.4650.0247.4207.5120.0000.0006449.02728.01.0
dens_knot_vals[12]6.5230.0386.4516.5940.0000.0015918.02837.01.0
dens_knot_vals[13]4.5690.1014.3694.7490.0020.0023820.02705.01.0
dens_knot_vals[14]-8.8980.869-10.000-7.3040.0140.0132680.01888.01.0
lnV0.2180.0080.2040.2330.0000.0005537.02637.01.0
\n", "
" ], "text/plain": [ " mean sd hdi_3% hdi_97% mcse_mean mcse_sd \\\n", "V 1.244 0.010 1.226 1.262 0.000 0.000 \n", "age_knot_vals[0] -0.648 0.053 -0.743 -0.546 0.001 0.001 \n", "age_knot_vals[1] 0.295 0.011 0.274 0.316 0.000 0.000 \n", "age_knot_vals[2] 0.161 0.008 0.147 0.176 0.000 0.000 \n", "age_knot_vals[3] 0.102 0.011 0.082 0.121 0.000 0.000 \n", "age_knot_vals[4] 0.014 0.014 0.000 0.038 0.000 0.000 \n", "dens_knot_vals[0] -9.350 0.628 -10.000 -8.176 0.008 0.013 \n", "dens_knot_vals[1] 3.332 0.161 3.026 3.622 0.002 0.002 \n", "dens_knot_vals[2] 5.667 0.052 5.567 5.766 0.001 0.001 \n", "dens_knot_vals[3] 7.611 0.023 7.567 7.656 0.000 0.000 \n", "dens_knot_vals[4] 7.965 0.020 7.929 8.003 0.000 0.000 \n", "dens_knot_vals[5] 7.840 0.020 7.803 7.878 0.000 0.000 \n", "dens_knot_vals[6] 7.992 0.019 7.956 8.026 0.000 0.000 \n", "dens_knot_vals[7] 8.256 0.017 8.226 8.290 0.000 0.000 \n", "dens_knot_vals[8] 8.066 0.017 8.035 8.098 0.000 0.000 \n", "dens_knot_vals[9] 8.821 0.014 8.795 8.847 0.000 0.000 \n", "dens_knot_vals[10] 7.827 0.019 7.792 7.864 0.000 0.000 \n", "dens_knot_vals[11] 7.465 0.024 7.420 7.512 0.000 0.000 \n", "dens_knot_vals[12] 6.523 0.038 6.451 6.594 0.000 0.001 \n", "dens_knot_vals[13] 4.569 0.101 4.369 4.749 0.002 0.002 \n", "dens_knot_vals[14] -8.898 0.869 -10.000 -7.304 0.014 0.013 \n", "lnV 0.218 0.008 0.204 0.233 0.000 0.000 \n", "\n", " ess_bulk ess_tail r_hat \n", "V 5537.0 2637.0 1.0 \n", "age_knot_vals[0] 2227.0 2737.0 1.0 \n", "age_knot_vals[1] 2099.0 2708.0 1.0 \n", "age_knot_vals[2] 2325.0 2844.0 1.0 \n", "age_knot_vals[3] 3531.0 3046.0 1.0 \n", "age_knot_vals[4] 3560.0 1660.0 1.0 \n", "dens_knot_vals[0] 3908.0 1964.0 1.0 \n", "dens_knot_vals[1] 5456.0 3225.0 1.0 \n", "dens_knot_vals[2] 6134.0 2833.0 1.0 \n", "dens_knot_vals[3] 6357.0 3316.0 1.0 \n", "dens_knot_vals[4] 6340.0 2895.0 1.0 \n", "dens_knot_vals[5] 6028.0 3170.0 1.0 \n", "dens_knot_vals[6] 6185.0 3124.0 1.0 \n", "dens_knot_vals[7] 6234.0 2695.0 1.0 \n", "dens_knot_vals[8] 7004.0 3103.0 1.0 \n", "dens_knot_vals[9] 6322.0 3046.0 1.0 \n", "dens_knot_vals[10] 5508.0 3288.0 1.0 \n", "dens_knot_vals[11] 6449.0 2728.0 1.0 \n", "dens_knot_vals[12] 5918.0 2837.0 1.0 \n", "dens_knot_vals[13] 3820.0 2705.0 1.0 \n", "dens_knot_vals[14] 2680.0 1888.0 1.0 \n", "lnV 5537.0 2637.0 1.0 " ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import arviz as az\n", "az.summary(MSTOspline.inf_data)" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [], "source": [ "MSTOspline.write(directory='../MSTO_spline_model/')" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [], "source": [ "MSTOnewspline = zoomies.read(directory='../MSTO_spline_model/')" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "MSTOnewspline.plot_fit()" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [], "source": [ "eval_grid, MSTOeval_pdf_m3 = MSTOnewspline.evaluate_ages(-3)\n", "_, MSTOeval_pdf_m1 = MSTOnewspline.evaluate_ages(-1)\n", "_, MSTOeval_pdf_0 = MSTOnewspline.evaluate_ages(0)\n", "_, MSTOeval_pdf_1 = MSTOnewspline.evaluate_ages(1)\n", "_, MSTOeval_pdf_2 = MSTOnewspline.evaluate_ages(2)\n", "_, MSTOeval_pdf_3 = MSTOnewspline.evaluate_ages(3)\n", "_, MSTOeval_pdf_4 = MSTOnewspline.evaluate_ages(4)\n", "_, MSTOeval_pdf_5 = MSTOnewspline.evaluate_ages(5)" ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Age Predictions for Test $ln(J_z)$ Values: MSTO Calibrated')" ] }, "execution_count": 46, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import seaborn as sns\n", "\n", "plt.rcParams['figure.figsize'] = [10, 6]\n", "plt.rcParams['font.size'] = 12\n", "\n", "plt.plot(eval_grid, MSTOeval_pdf_m3, label='$ln(J_z)=-3$', color=sns.color_palette(\"mako_r\").as_hex()[0], linewidth=2)\n", "plt.plot(eval_grid, MSTOeval_pdf_m1, label='$ln(J_z)=-1$', color=sns.color_palette(\"mako_r\").as_hex()[1], linewidth=2)\n", "plt.plot(eval_grid, MSTOeval_pdf_1, label='$ln(J_z) = 1 $', color=sns.color_palette(\"mako_r\").as_hex()[2], linewidth=2)\n", "plt.plot(eval_grid, MSTOeval_pdf_3, label='$ln(J_z) = 3 $', color=sns.color_palette(\"mako_r\").as_hex()[3], linewidth=2)\n", "plt.plot(eval_grid, MSTOeval_pdf_5, label='$ln(J_z) = 5 $', color=sns.color_palette(\"mako_r\").as_hex()[4], linewidth=2)\n", "\n", "plt.fill_between(eval_grid, MSTOeval_pdf_m3, 0, color=sns.color_palette(\"mako_r\").as_hex()[0], alpha=.5)\n", "plt.fill_between(eval_grid, MSTOeval_pdf_m1, 0, color=sns.color_palette(\"mako_r\").as_hex()[1], alpha=.5)\n", "plt.fill_between(eval_grid, MSTOeval_pdf_1, 0, color=sns.color_palette(\"mako_r\").as_hex()[2], alpha=.5)\n", "plt.fill_between(eval_grid, MSTOeval_pdf_3, 0, color=sns.color_palette(\"mako_r\").as_hex()[3], alpha=.5)\n", "plt.fill_between(eval_grid, MSTOeval_pdf_5, 0, color=sns.color_palette(\"mako_r\").as_hex()[4], alpha=.5)\n", "\n", "plt.legend()\n", "\n", "plt.xlabel('Age (Gyr)')\n", "plt.ylabel('PDF')\n", "\n", "plt.title('Age Predictions for Test $ln(J_z)$ Values: MSTO Calibrated')" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "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": "3.14.2" } }, "nbformat": 4, "nbformat_minor": 4 }