{ "cells": [ { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "# halogal: Complete Tutorial\n", "\n", "This notebook provides a comprehensive introduction to the `halogal` package using the unified model architecture.\n", "\n", "**What you'll learn:**\n", "1. Creating a unified `HODModel`\n", "2. Computing UV luminosity functions\n", "3. Calculating galaxy bias\n", "4. Exploring UV-halo mass relations\n", "5. Working with occupation distributions\n", "6. Mean galaxy properties\n", "7. Parameter exploration with inline updates\n", "8. Efficient MCMC fitting with `Observables`\n", "9. Comparing to observations" ] }, { "attachments": {}, "cell_type": "markdown", "id": "07918661", "metadata": {}, "source": [ "## Setup" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Imports successful!\n" ] } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from halogal import HODModel, UVHMRModel\n", "from halogal.model import Observables\n", "\n", "# Set plotting style\n", "plt.style.use('seaborn-v0_8-darkgrid')\n", "plt.rcParams['figure.dpi'] = 100\n", "%matplotlib inline\n", "\n", "print(\"Imports successful!\")" ] }, { "attachments": {}, "cell_type": "markdown", "id": "e0fe2008", "metadata": {}, "source": [ "## Part 1: Creating Your First Model\n", "\n", "The `HODModel` is a unified class that combines:\n", "- **UV-Halo Mass Relation (UVHMR)**: Connects halo mass to UV luminosity\n", "- **Halo Occupation Distribution (HOD)**: Models galaxy populations in halos\n", "\n", "The `Observables` class methods to compute various observables like luminosity functions, galaxy bias, and correlation functions from a given HOD model." ] }, { "cell_type": "code", "execution_count": 2, "id": "bd72fb2f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "HOD Model at z=5.4\n", "==================================================\n", "UVHMR Parameters:\n", " eps0 = 0.190\n", " Mc = 4.37e+11 M_sun\n", " a = 0.69\n", " b = 0.65\n", "\n", "HOD Parameters:\n", " sigma_UV = 0.69 mag\n", " Mcut = 3.72e+09 M_sun\n", " Msat = 4.47e+12 M_sun\n", " asat = 0.85\n", "\n", "Settings:\n", " add_dust = True\n", "==================================================\n" ] } ], "source": [ "# Create a complete model with all parameters\n", "# Using best-fit values from Shuntov et al. (in prep) at z~5.4\n", "# In principle, only the redshift is required, the others will be fixed to the default.\n", "model = HODModel(\n", " z=5.4, # Redshift\n", " eps0=0.19, # Star formation efficiency\n", " Mc=10**11.64, # Characteristic halo mass [M_sun]\n", " a=0.69, # Low-mass slope (beta)\n", " b=0.65, # High-mass slope (gamma)\n", " sigma_UV=0.69, # UV magnitude scatter [mag]\n", " Mcut=10**9.57, # Satellite cutoff mass [M_sun]\n", " Msat=10**12.65, # Satellite normalization [M_sun]\n", " asat=0.85, # Satellite power-law slope\n", " add_dust=True # Include dust attenuation\n", ")\n", "\n", "print(model)\n", "\n", "\n", "# Next let's create an Observables class. This takes an HODmodel as an argument, in which the model parameters are defined. We will use this in the following parts of this tutorial\n", "obs = Observables(model)" ] }, { "attachments": {}, "cell_type": "markdown", "id": "e13caa71", "metadata": {}, "source": [ "## Part 2: UV Luminosity Function\n", "\n", "The luminosity function Φ(M_UV) tells us the number density of galaxies as a function of UV magnitude." ] }, { "cell_type": "code", "execution_count": 3, "id": "3ece4156", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Computing luminosity function...\n", " Magnitude range: -24.0 to -16.0\n", " Φ range: 1.07e-07 to 2.13e-02 Mpc^-3 mag^-1\n" ] } ], "source": [ "# Define magnitude range\n", "MUV = np.linspace(-24, -16, 25)\n", "\n", "# Compute luminosity function\n", "print(\"Computing luminosity function...\")\n", "phi = obs.luminosity_function(MUV)\n", "\n", "print(f\" Magnitude range: {MUV.min():.1f} to {MUV.max():.1f}\")\n", "print(f\" Φ range: {phi.min():.2e} to {phi.max():.2e} Mpc^-3 mag^-1\")" ] }, { "cell_type": "code", "execution_count": 4, "id": "4bed7cea", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the luminosity function\n", "fig, ax = plt.subplots(figsize=(10, 7))\n", "\n", "ax.semilogy(MUV, phi, 'b-', linewidth=3, label=f'z={model.z}')\n", "ax.set_xlabel(r'$M_{\\rm UV}$', fontsize=16)\n", "ax.set_ylabel(r'$\\Phi$ [Mpc$^{-3}$ mag$^{-1}$]', fontsize=16)\n", "ax.set_title('UV Luminosity Function', fontsize=18, fontweight='bold')\n", "ax.legend(fontsize=14)\n", "ax.grid(True, alpha=0.3)\n", "ax.tick_params(labelsize=12)\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "attachments": {}, "cell_type": "markdown", "id": "0f7feec2", "metadata": {}, "source": [ "## Part 3: Galaxy Bias\n", "\n", "Galaxy bias b_g quantifies how strongly galaxies cluster compared to the underlying dark matter." ] }, { "cell_type": "code", "execution_count": 5, "id": "7836c076", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Computing galaxy bias...\n", " Bias range: 2.70 to 9.70\n" ] } ], "source": [ "# Compute galaxy bias\n", "print(\"Computing galaxy bias...\")\n", "bias = obs.galaxy_bias(MUV)\n", "\n", "print(f\" Bias range: {bias.min():.2f} to {bias.max():.2f}\")" ] }, { "cell_type": "code", "execution_count": 6, "id": "63403380", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot galaxy bias\n", "fig, ax = plt.subplots(figsize=(10, 7))\n", "\n", "ax.plot(MUV, bias, 'r-', linewidth=3, label=f'z={model.z}')\n", "ax.set_xlabel(r'$M_{\\rm UV}$', fontsize=16)\n", "ax.set_ylabel('Galaxy Bias $b_g$', fontsize=16)\n", "ax.set_title('Galaxy Clustering Bias', fontsize=18, fontweight='bold')\n", "ax.legend(fontsize=14)\n", "ax.grid(True, alpha=0.3)\n", "ax.tick_params(labelsize=12)\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "attachments": {}, "cell_type": "markdown", "id": "52091875", "metadata": {}, "source": [ "## Part 4: UV-Halo Mass Relation\n", "\n", "The `HODModel` inherits all UVHMR methods from the base class. Note that these are not available in the `Observables` class" ] }, { "cell_type": "code", "execution_count": 7, "id": "0fabd065", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Halo mass: 1.00e+11 M_sun\n", " SFR: [4.34936672] M_sun/yr\n", " M_UV: [-19.21614823]\n", " SFE: [0.12070767]\n" ] } ], "source": [ "# Explore UVHMR for a single halo\n", "Mh_example = 1e11 # M_sun\n", "\n", "sfr = model.sfr(Mh_example)\n", "MUV_example = model.MUV(Mh_example)\n", "epsilon = model.star_formation_efficiency(Mh_example)\n", "\n", "print(f\"Halo mass: {Mh_example:.2e} M_sun\")\n", "print(f\" SFR: {sfr} M_sun/yr\")\n", "print(f\" M_UV: {MUV_example}\")\n", "print(f\" SFE: {epsilon}\")\n" ] }, { "cell_type": "code", "execution_count": 8, "id": "cd008e62", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot UVHMR\n", "Mh_array = np.logspace(10, 14, 100)\n", "MUV_array = model.MUV(Mh_array)\n", "\n", "fig, ax = plt.subplots(figsize=(10, 7))\n", "\n", "ax.plot(np.log10(Mh_array), MUV_array, 'g-', linewidth=3)\n", "ax.scatter(np.log10(Mh_example), MUV_example, s=200, c='red', \n", " marker='*', zorder=5, label=f'Example')\n", "\n", "ax.set_xlabel(r'$\\log_{10}(M_h / M_\\odot)$', fontsize=16)\n", "ax.set_ylabel(r'$M_{\\rm UV}$', fontsize=16)\n", "ax.set_title('UV-Halo Mass Relation', fontsize=18, fontweight='bold')\n", "ax.invert_yaxis()\n", "ax.legend(fontsize=12)\n", "ax.grid(True, alpha=0.3)\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "attachments": {}, "cell_type": "markdown", "id": "4c8798cb", "metadata": {}, "source": [ "## Part 5: Halo Occupation Distribution" ] }, { "cell_type": "code", "execution_count": 9, "id": "2b3dc7e9", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "For M_UV < -18:\n", " Peak N_cen: 1.000\n", " Max N_sat: 14.04\n" ] } ], "source": [ "MUV_thresh = -18\n", "Mh_range = np.logspace(10, 14, 100)\n", "\n", "N_cen = model.Ncen(Mh_range, MUV_thresh)\n", "N_sat = model.Nsat(Mh_range, MUV_thresh)\n", "N_tot = model.Ngal(Mh_range, MUV_thresh)\n", "\n", "print(f\"For M_UV < {MUV_thresh}:\")\n", "print(f\" Peak N_cen: {N_cen.max():.3f}\")\n", "print(f\" Max N_sat: {N_sat.max():.2f}\")" ] }, { "cell_type": "code", "execution_count": 10, "id": "2c17d01c", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(10, 7))\n", "\n", "ax.plot(np.log10(Mh_range), N_cen, 'b--', linewidth=3, label='Central')\n", "ax.plot(np.log10(Mh_range), N_sat, 'r--', linewidth=3, label='Satellite')\n", "ax.plot(np.log10(Mh_range), N_tot, 'k-', linewidth=2.5, label='Total')\n", "\n", "ax.set_ylim(0.1,10)\n", "ax.set_yscale('log')\n", "ax.set_xlabel(r'$\\log_{10}(M_h / M_\\odot)$', fontsize=16)\n", "ax.set_ylabel(r'$\\langle N \\rangle$', fontsize=16)\n", "ax.set_title(f'Occupation Functions (M_UV < {MUV_thresh})', fontsize=18, fontweight='bold')\n", "ax.legend(fontsize=12)\n", "ax.grid(True, alpha=0.3)\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "attachments": {}, "cell_type": "markdown", "id": "3b5da1d5", "metadata": {}, "source": [ "## Part 6: Mean Properties" ] }, { "cell_type": "code", "execution_count": 11, "id": "131d4a01", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Mean Properties by Brightness Threshold:\n", "============================================================\n", "\n", "M_UV < -21:\n", " Mean halo mass: 4.74e+11 M_sun\n", " Mean bias: 6.08\n", "\n", "M_UV < -20:\n", " Mean halo mass: 2.67e+11 M_sun\n", " Mean bias: 5.17\n", "\n", "M_UV < -19:\n", " Mean halo mass: 1.56e+11 M_sun\n", " Mean bias: 4.48\n", "\n", "M_UV < -18:\n", " Mean halo mass: 9.53e+10 M_sun\n", " Mean bias: 3.95\n", "\n", "M_UV < -17:\n", " Mean halo mass: 5.99e+10 M_sun\n", " Mean bias: 3.52\n" ] } ], "source": [ "thresholds = [-21, -20, -19, -18, -17]\n", "\n", "print(\"Mean Properties by Brightness Threshold:\")\n", "print(\"=\"*60)\n", "\n", "for thresh in thresholds:\n", " mean_mass = obs.mean_halo_mass(thresh)\n", " mean_b = obs.mean_bias(thresh)\n", " \n", " print(f\"\\nM_UV < {thresh}:\")\n", " print(f\" Mean halo mass: {10**mean_mass:.2e} M_sun\")\n", " print(f\" Mean bias: {mean_b:.2f}\")" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## Part 7: Parameter Exploration\n", "\n", "All observable methods on `Observables` accept inline `**params` keyword arguments\n", "to update the model and recompute in a single call — no need to manually call\n", "`update_parameters()` first. This is particularly useful for parameter sweeps and MCMC fitting." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create an Observables object — the entry point for all computed quantities\n", "model_var = HODModel(z=6)\n", "obs_var = Observables(model_var)\n", "\n", "eps0_values = [0.1, 0.25, 0.5, 0.75, 1.0]\n", "colors = plt.cm.viridis(np.linspace(0, 1, len(eps0_values)))\n", "\n", "fig, ax = plt.subplots(figsize=(10, 7))\n", "\n", "for eps0, color in zip(eps0_values, colors):\n", " # Pass eps0 directly — the model is updated internally\n", " phi_var = obs_var.luminosity_function(MUV, eps0=eps0)\n", " ax.semilogy(MUV, phi_var, linewidth=3, color=color,\n", " label=f'$\\epsilon_0={eps0}$')\n", "\n", "ax.set_xlabel(r'$M_{\\rm UV}$', fontsize=16)\n", "ax.set_ylabel(r'$\\Phi$ [Mpc$^{-3}$ mag$^{-1}$]', fontsize=16)\n", "ax.set_title('Effect of Star Formation Efficiency', fontsize=18, fontweight='bold')\n", "ax.legend(fontsize=12)\n", "ax.grid(True, alpha=0.3)\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## Part 8: Efficient MCMC Fitting with `Observables`\n", "\n", "The `Observables` class is designed for efficient parameter inference. All observable\n", "methods accept `**params` to update the underlying model in-place before computing,\n", "avoiding object re-creation in tight loops.\n", "\n", "For correlation functions specifically, use the `initialize_correlation_model()` /\n", "`update_correlation_model()` pattern which leverages halomod's internal caching." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/mshuntov/opt/anaconda3/envs/py311/lib/python3.11/site-packages/hmf/density_field/transfer_models.py:232: UserWarning: 'extrapolate_with_eh' was not set. Defaulting to True, which is different behaviour than versions <=3.4.4. This warning may be removed in v4.0. Silence it by setting extrapolate_with_eh explicitly.\n", " warnings.warn(\n", "/Users/mshuntov/opt/anaconda3/envs/py311/lib/python3.11/site-packages/halomod/integrate_corr.py:567: UserWarning: Filter function p(x) did not integrate to 1 (0.9544997333075783). Tentatively re-normalising.\n", " p1 = _check_p(p1, z if p_of_z else x)\n", "/Users/mshuntov/opt/anaconda3/envs/py311/lib/python3.11/site-packages/hmf/_internals/_cache.py:115: UserWarning: Using halofit for tracer stats is only valid up to quasi-linear scales k<~1 (h/Mpc).\n", " value = f(self)\n", "/Users/mshuntov/opt/anaconda3/envs/py311/lib/python3.11/site-packages/halomod/integrate_corr.py:567: UserWarning: Filter function p(x) did not integrate to 1 (0.9544997333075783). Tentatively re-normalising.\n", " p1 = _check_p(p1, z if p_of_z else x)\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "eps0=0.15, sigma_UV=0.4 → =11.18, n_gal=5.91e-04 Mpc^-3\n", "eps0=0.20, sigma_UV=0.6 → =11.08, n_gal=8.72e-04 Mpc^-3\n", "eps0=0.30, sigma_UV=0.5 → =11.02, n_gal=1.22e-03 Mpc^-3\n", "eps0=0.25, sigma_UV=0.7 → =11.01, n_gal=1.14e-03 Mpc^-3\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Simulate an MCMC-like loop computing multiple observables per step\n", "obs_mcmc = Observables(HODModel(z=6.0))\n", "MUV_grid = np.linspace(-22, -16, 20)\n", "\n", "# Fake MCMC samples: (eps0, sigma_UV)\n", "mcmc_samples = [(0.15, 0.4), (0.20, 0.6), (0.30, 0.5), (0.25, 0.7)]\n", "\n", "# --- Initialize the correlation function model once (expensive) ---\n", "result0 = obs_mcmc.initialize_correlation_model(\n", " MUV_thresh1=-19.1, correlation_type='angular',\n", " theta_min=1.0, theta_max=360.0, theta_num=80\n", ")\n", "\n", "results = []\n", "for eps0, sigma_UV in mcmc_samples:\n", " # Luminosity function with inline parameter updates\n", " phi = obs_mcmc.luminosity_function(MUV_grid, eps0=eps0, sigma_UV=sigma_UV)\n", " mh = obs_mcmc.mean_halo_mass(-19.0, eps0=eps0, sigma_UV=sigma_UV)\n", " ngal = obs_mcmc.number_density(-19.0, eps0=eps0, sigma_UV=sigma_UV)\n", "\n", " # Correlation function via the efficient update path\n", " cf = obs_mcmc.update_correlation_model(eps0=eps0, sigma_UV=sigma_UV)\n", "\n", " results.append({\n", " 'eps0': eps0, 'sigma_UV': sigma_UV,\n", " 'phi': phi, 'log_Mh': mh, 'n_gal': ngal,\n", " 'theta': cf['separation'], 'w_theta': cf['correlation'],\n", " })\n", " print(f\"eps0={eps0:.2f}, sigma_UV={sigma_UV:.1f} → \"\n", " f\"={mh:.2f}, n_gal={ngal:.2e} Mpc^-3\")\n", "\n", "# --- Plot ---\n", "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(16, 7))\n", "\n", "for r in results:\n", " label = f\"$\\\\epsilon_0$={r['eps0']}, $\\\\sigma_{{UV}}$={r['sigma_UV']}\"\n", "\n", " # Left: luminosity function\n", " ax1.semilogy(MUV_grid, r['phi'], linewidth=2, label=label)\n", "\n", " # Right: angular correlation function\n", " ax2.loglog(r['theta'], r['w_theta'], linewidth=2, label=label)\n", "\n", "ax1.set_xlabel(r'$M_{\\rm UV}$', fontsize=16)\n", "ax1.set_ylabel(r'$\\Phi$ [Mpc$^{-3}$ mag$^{-1}$]', fontsize=16)\n", "ax1.set_title('UV Luminosity Function', fontsize=16, fontweight='bold')\n", "ax1.legend(fontsize=10)\n", "ax1.grid(True, alpha=0.3)\n", "\n", "ax2.set_xlabel(r'$\\theta$ [arcsec]', fontsize=16)\n", "ax2.set_ylabel(r'$w(\\theta)$', fontsize=16)\n", "ax2.set_title(r'Angular Correlation Function ($M_{\\rm UV}<-19.1$)',\n", " fontsize=16, fontweight='bold')\n", "ax2.legend(fontsize=10)\n", "ax2.grid(True, alpha=0.3, which='both')\n", "\n", "plt.suptitle('MCMC Parameter Samples', fontsize=18, fontweight='bold', y=1.01)\n", "plt.tight_layout()\n", "plt.show()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## Part 9: Comparison to Observations\n", "\n", "Compare model predictions to Bouwens+2021 data." ] }, { "cell_type": "code", "execution_count": 14, "id": "8eb5067a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Loaded Bouwens+2021 data:\n", " z4: z=4, 12 points\n", " z5: z=5, 12 points\n", " z6: z=6, 10 points\n", " z7: z=7, 10 points\n", " z8: z=8, 7 points\n" ] } ], "source": [ "# Load observational data\n", "from bouwens21_data import bouwens21, redshift_centers\n", "\n", "print(\"Loaded Bouwens+2021 data:\")\n", "for key in bouwens21.keys():\n", " print(f\" {key}: z={redshift_centers[key]}, {len(bouwens21[key]['M_AB'])} points\")" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Comparison at different redshifts in 3x3 panels (last panel = all combined)\n", "from halogal.models.parametrization import *\n", "from halogal.config import DEFAULT_REDSHIFT_EVOLUTION\n", "\n", "redshift_bins = ['z4', 'z5', 'z6', 'z7', 'z8']\n", "colors = plt.cm.plasma(np.linspace(0, 0.8, len(redshift_bins)))\n", "\n", "# Create a single Observables object for all redshifts\n", "obs_compare = Observables(HODModel(z=5.0))\n", "\n", "fig, axes = plt.subplots(2, 3, figsize=(16, 10))\n", "axes = axes.flatten()\n", "axes.flatten()[5].axis('off')\n", "\n", "for idx, (zbin, color) in enumerate(zip(redshift_bins, colors)):\n", " ax = axes[idx]\n", " z_val = redshift_centers[zbin]\n", " \n", " # Get evolved parameters using fitted evolution\n", " eps0_z = eps0_fz(\n", " z_val,\n", " deps_dz=DEFAULT_REDSHIFT_EVOLUTION['d_eps0_dz'],\n", " eps_off=DEFAULT_REDSHIFT_EVOLUTION['C_eps0'])\n", "\n", " Mc_z = 10**Mc_fz(\n", " z_val,\n", " dMc_dz=DEFAULT_REDSHIFT_EVOLUTION['d_logMc_dz'],\n", " Mc_off=DEFAULT_REDSHIFT_EVOLUTION['C_logMc'])\n", "\n", " a_z = a_fz(\n", " z_val,\n", " da_dz=DEFAULT_REDSHIFT_EVOLUTION['d_a_dz'],\n", " a_off=DEFAULT_REDSHIFT_EVOLUTION['C_a'])\n", "\n", " b_z = b_fz(\n", " z_val,\n", " db_dz=DEFAULT_REDSHIFT_EVOLUTION['d_b_dz'],\n", " b_off=DEFAULT_REDSHIFT_EVOLUTION['C_b'])\n", " \n", " sigmaUV_z = sigma_UV_fz(\n", " z_val,\n", " dsigmaUV_dz=DEFAULT_REDSHIFT_EVOLUTION['d_sigmaUV_dz'],\n", " sigmaUV_off=DEFAULT_REDSHIFT_EVOLUTION['C_sigmaUV'])\n", " \n", " Mcut_z = 10**Mcut_fz(\n", " z_val,\n", " dMcut_dz=DEFAULT_REDSHIFT_EVOLUTION['d_Mcut_dz'],\n", " Mcut_off=DEFAULT_REDSHIFT_EVOLUTION['C_Mcut'])\n", " \n", " Msat_z = 10**Msat_fz(\n", " z_val,\n", " dMsat_dz=DEFAULT_REDSHIFT_EVOLUTION['d_Msat_dz'],\n", " Msat_off=DEFAULT_REDSHIFT_EVOLUTION['C_Msat'])\n", " \n", " asat_z = asat_fz(\n", " z_val,\n", " dasat_dz=DEFAULT_REDSHIFT_EVOLUTION['d_asat_dz'],\n", " asat_off=DEFAULT_REDSHIFT_EVOLUTION['C_asat'])\n", "\n", " # Compute UVLF with inline parameter updates\n", " MUV_model = np.linspace(-23, -15, 40)\n", " phi_model = obs_compare.luminosity_function(\n", " MUV_model,\n", " z=z_val, eps0=eps0_z, Mc=Mc_z, a=a_z, b=b_z,\n", " sigma_UV=sigmaUV_z, Mcut=Mcut_z, Msat=Msat_z, asat=asat_z)\n", " \n", " # Plot model\n", " ax.semilogy(MUV_model, phi_model, '-', linewidth=2.5, color=color, \n", " label='Model')\n", " \n", " # Plot observations\n", " data = bouwens21[zbin]\n", " ax.errorbar(data['M_AB'], data['Fi_k'], yerr=data['Fi_k_error'],\n", " fmt='o', color='black', markersize=6, capsize=3, \n", " alpha=0.7, label='Bouwens+2021')\n", "\n", " # Panel styling\n", " ax.set_xlabel(r'$M_{\\rm UV}$', fontsize=12)\n", " ax.set_ylabel(r'$\\Phi$ [Mpc$^{-3}$ mag$^{-1}$]', fontsize=12)\n", " ax.set_title(f'z = {z_val}', fontsize=14, fontweight='bold')\n", " ax.set_ylim(5e-7, 5e-1)\n", " ax.legend(fontsize=9)\n", " ax.grid(True, alpha=0.3, which='both')\n", " ax.tick_params(labelsize=10)\n", "\n", "\n", "plt.suptitle('UV Luminosity Function Evolution', fontsize=18, fontweight='bold', y=0.995)\n", "plt.tight_layout()\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "py311", "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": "3.11.11" } }, "nbformat": 4, "nbformat_minor": 5 }