{ "cells": [ { "cell_type": "markdown", "id": "2dafbb2b", "metadata": {}, "source": [ "# Note on generating the correct number density of galaxies\n", "\n", "`meer21cm` supports mock routines to generate galaxy catalogue for cross-correlation analysis. For generation of galaxies, an important input is the number density across the redshifts of interest. In this notebook, we briefly explain the implementation in `meer21cm`." ] }, { "cell_type": "code", "execution_count": 1, "id": "0bcab4f9", "metadata": {}, "outputs": [], "source": [ "from meer21cm import MockSimulation\n", "import numpy as np\n", "from scipy.interpolate import interp1d\n", "import matplotlib.pyplot as plt\n", "from meer21cm.util import create_wcs, redshift_to_freq, radec_to_indx\n", "from meer21cm.plot import plot_map\n" ] }, { "cell_type": "markdown", "id": "a2bc736e", "metadata": {}, "source": [ "## Input source number\n", "\n", "In `meer21cm`, there are two separate inputs: `MockSimulation.num_discrete_source`, and `MockSimulation.discrete_source_dndz`. Note that they **do not** need to be consistent with each other. The total number of sources generated only depends on the `num_discrete_source` input, and `discrete_source_dndz` is only used for its shape. `num_discrete_source` should be an integer, whereas `discrete_source_dndz` should be a callable function that takes redshift as an input. Let's first look at the source number:" ] }, { "cell_type": "code", "execution_count": 2, "id": "7083d3d2", "metadata": {}, "outputs": [], "source": [ "z_min = 0.5\n", "z_max = 1.5\n", "nu_min = redshift_to_freq(z_max)\n", "nu_max = redshift_to_freq(z_min)\n", "nu = np.linspace(nu_min,nu_max,50)\n", "num_pix_x = 100\n", "num_pix_y = 100\n", "ang_resol = 0.3\n", "wcs = create_wcs(180,-30,[num_pix_x,num_pix_y],ang_resol)\n", "mock = MockSimulation(\n", " seed=1,\n", " nu=nu,\n", " wproj=wcs,\n", " num_pix_x=num_pix_x,\n", " num_pix_y=num_pix_y,\n", " tracer_bias_2=1.0,\n", ")" ] }, { "cell_type": "markdown", "id": "3aa892b2", "metadata": {}, "source": [ "Let's say you want 0.1 galaxy per arcmin^2. You can then set the total number of galaxies:" ] }, { "cell_type": "code", "execution_count": 3, "id": "bf284a50", "metadata": {}, "outputs": [], "source": [ "# pixel_area is sq deg\n", "# W_HI at one channel gives you total number of pixels that are surveyed\n", "tot_num_source = int(mock.pixel_area * 3600 * 0.1 * mock.W_HI[:,:,0].sum())\n", "mock.num_discrete_source = tot_num_source" ] }, { "cell_type": "markdown", "id": "90c95c9b", "metadata": {}, "source": [ "Run the simulation:" ] }, { "cell_type": "code", "execution_count": 4, "id": "6546ac00", "metadata": {}, "outputs": [], "source": [ "mock.propagate_mock_tracer_to_gal_cat();" ] }, { "cell_type": "markdown", "id": "c0314ced", "metadata": {}, "source": [ "Note that, the generated galaxy catalogue is generated at the rectangular box level, with a box that encloses the entire survey lightcone. This means that lots of generated galaxies actually are outside of the survey area:" ] }, { "cell_type": "code", "execution_count": 5, "id": "03f3d71b", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_map(mock.W_HI, mock.wproj)\n", "ax = plt.gca()\n", "ax.scatter(\n", " mock.ra_gal,\n", " mock.dec_gal,\n", " s=0.1,\n", " alpha=0.01,\n", " transform=ax.get_transform('world'),\n", ")" ] }, { "cell_type": "markdown", "id": "601b621c", "metadata": {}, "source": [ "And therefore, the total number of galaxies are larger than the specified `num_discrete_source`:" ] }, { "cell_type": "code", "execution_count": 6, "id": "edeb01ad", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(555989, 311169)" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mock.z_gal.size, mock.num_discrete_source" ] }, { "cell_type": "markdown", "id": "8223b20f", "metadata": {}, "source": [ "While it is often not needed, there are some functionalities for you to check the number density within the survey area:" ] }, { "cell_type": "code", "execution_count": 7, "id": "a5d53e5f", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(np.int64(322933), 311169)" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "indx_1, indx_2 = radec_to_indx(mock.ra_gal, mock.dec_gal, mock.wproj)\n", "in_range = (indx_1 >= 0) * (indx_1 < mock.num_pix_x) * (indx_2 >= 0) * (indx_2 < mock.num_pix_y)\n", "in_range.sum(), mock.num_discrete_source" ] }, { "cell_type": "markdown", "id": "42c6457c", "metadata": {}, "source": [ "As you can see, they agree with each other within Poisson errors.\n", "\n", "Usually, in data analysis, you would specify a trimming range within which you do the power spectrum estimation. `meer21cm` takes that into account and adjusts the number of sources generated, so within the survey area you always have the input `num_discrete_source`. Furthermore, if `trim=True` (which is default) when you call `mock.propagate_mock_tracer_to_gal_cat()`, then the galaxy catalogue is trimmed as well to the range:" ] }, { "cell_type": "code", "execution_count": 8, "id": "8a011a2c", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mock = MockSimulation(\n", " seed=1,\n", " nu=nu,\n", " wproj=wcs,\n", " num_pix_x=num_pix_x,\n", " num_pix_y=num_pix_y,\n", " tracer_bias_2=1.0,\n", " ra_range=[170,190],\n", " dec_range=[-35,-25],\n", ")\n", "plot_map(mock.W_HI, mock.wproj)" ] }, { "cell_type": "code", "execution_count": 9, "id": "e60f8334", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "61981" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tot_num_source = int(mock.pixel_area * 3600 * 0.1 * mock.W_HI[:,:,0].sum())\n", "mock.num_discrete_source = tot_num_source\n", "# note that the number of sources is smaller due to smaller survey area\n", "tot_num_source" ] }, { "cell_type": "code", "execution_count": 10, "id": "923b401d", "metadata": {}, "outputs": [], "source": [ "mock.propagate_mock_tracer_to_gal_cat()" ] }, { "cell_type": "markdown", "id": "858fffd0", "metadata": {}, "source": [ "Now the galaxy catalogue is within the range:" ] }, { "cell_type": "code", "execution_count": 11, "id": "7ba2da54", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_map(mock.W_HI, mock.wproj)\n", "ax = plt.gca()\n", "ax.scatter(\n", " mock.ra_gal,\n", " mock.dec_gal,\n", " s=0.1,\n", " alpha=0.1,\n", " transform=ax.get_transform('world'),\n", ")" ] }, { "cell_type": "markdown", "id": "0ac7a36d", "metadata": {}, "source": [ "If you want to use the full catalogue in the rectangular box, you can always just use `mock.ra_mock_tracer` (`dec_mock_tracer`, `z_mock_tracer`) and do your own trimming or any other manipulation:" ] }, { "cell_type": "code", "execution_count": 12, "id": "75a06176", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_map(mock.W_HI, mock.wproj)\n", "ax = plt.gca()\n", "ax.scatter(\n", " mock.ra_mock_tracer,\n", " mock.dec_mock_tracer,\n", " s=0.1,\n", " alpha=0.1,\n", " transform=ax.get_transform('world'),\n", ")" ] }, { "cell_type": "markdown", "id": "6fedf0e3", "metadata": {}, "source": [ "## Input redshift distribution\n", "\n", "Usually, the galaxy survey catalogue follows non-uniform redshift distribution. In `meer21cm`, you can generate these redshift kernels through the input `discrete_source_dndz`. \n", "\n", "**Important**: `discrete_source_dndz` uses comoving volume unit! That is to say, the `dndz` (or sometimes called `n(z)`) should be in the unit of $\\rm Mpc^{-3}$ . Since the amplitude does not matter, the exact unit also does not matter. For example it can also be (h/Mpc)$^3$\n", "\n", "The default is uniform distribution. However, if you plot the histogram of the source redshifts, it is not uniform:" ] }, { "cell_type": "code", "execution_count": 13, "id": "9ecefcee", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.hist(mock.z_gal);\n", "plt.xlabel('z')\n", "plt.ylabel('dN');" ] }, { "cell_type": "markdown", "id": "df39a95b", "metadata": {}, "source": [ "Again, note that you are plotting it in unitless (or in some sense per angular area) dimension. If you want to plot it in volume, you need to take the differential comoving volume:" ] }, { "cell_type": "code", "execution_count": 14, "id": "217b20b9", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# for computational efficiency, first interpolate dV\n", "z_arr = np.linspace(0, 2, 1000)\n", "dV_arr = mock.cosmo.differential_comoving_volume(z_arr)\n", "dV_func = interp1d(z_arr, dV_arr)\n", "\n", "plt.hist(mock.z_gal, bins=100, weights=1 / dV_func(mock.z_gal));\n", "plt.xlabel('z')\n", "plt.ylabel('dn/dz');" ] }, { "cell_type": "markdown", "id": "ed8a5aaf", "metadata": {}, "source": [ "You can see indeed the distribution is uniform.\n", "\n", "Reversely, if you want an input redshift kernel without comoving volume unit, for example your `n(z)` is in per square degree, then you would need to modify your input:" ] }, { "cell_type": "code", "execution_count": 15, "id": "331ab263", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# transform the dndz to comoving volume unit\n", "dndz_func = lambda z: np.ones_like(z) / dV_func(z)\n", "mock.discrete_source_dndz = dndz_func\n", "# rerun the simulation\n", "mock.propagate_mock_tracer_to_gal_cat()\n", "\n", "plt.hist(mock.z_gal, bins=100,);\n", "plt.xlabel('z')\n", "plt.ylabel('dN');" ] }, { "cell_type": "markdown", "id": "d736a79a", "metadata": {}, "source": [ "Now it's uniform in terms of number count instead of number density\n", "\n", "In reality, you may want some form of kernel which you extract from an actual survey or realistic simulations. Suppose you have a `dn/dz` that you want:" ] }, { "cell_type": "code", "execution_count": 16, "id": "233724fd", "metadata": {}, "outputs": [], "source": [ "# Gaussian kernel just for demonstration\n", "dndz_func = lambda z: np.exp(-(z-1.0)**2 / 0.3**2)\n", "mock.discrete_source_dndz = dndz_func\n", "mock.propagate_mock_tracer_to_gal_cat();" ] }, { "cell_type": "code", "execution_count": 17, "id": "6f60dea8", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "count,bins = np.histogram(mock.z_gal, bins=100, weights=1 / dV_func(mock.z_gal));\n", "plt.stairs(count/count.mean(), bins);\n", "z_plot_arr = np.linspace(mock.z_gal.min(), mock.z_gal.max(), 1000)\n", "dndz_plot_arr = dndz_func(z_plot_arr)\n", "plt.plot(z_plot_arr, dndz_plot_arr/dndz_plot_arr.mean());\n", "plt.xlabel('z')\n", "plt.ylabel('Kernel Shape');" ] }, { "cell_type": "markdown", "id": "1ab8cb65", "metadata": {}, "source": [ "As you can see, the simulation generates the correct dndz that matches your input" ] } ], "metadata": { "kernelspec": { "display_name": "meer21cm", "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": "3.10.16" } }, "nbformat": 4, "nbformat_minor": 5 }