{
“cells”: [
{

“cell_type”: “markdown”, “id”: “0b4b2459”, “metadata”: {}, “source”: [

“# BL Lac blazarsn”, “A model for the luminosity function and cosmic evolution of BL Lac type blazars is presented in [Ajello et al. 2014](https://arxiv.org/abs/1310.0006), based on observations in gamma-rays with the Fermi-LAT instrument.n”, “n”, “We can use the results of this paper to build a BL Lac population that is able to reproduce the results reported in the recent [4FGL Fermi-LAT catalog](https://arxiv.org/abs/1902.10045) reasonably well.”

]

}, {

“cell_type”: “code”, “execution_count”: 1, “id”: “54dba264”, “metadata”: {

“execution”: {
“iopub.execute_input”: “2022-02-09T16:32:15.180739Z”, “iopub.status.busy”: “2022-02-09T16:32:15.180186Z”, “iopub.status.idle”: “2022-02-09T16:32:19.008604Z”, “shell.execute_reply”: “2022-02-09T16:32:19.009424Z”

}

}, “outputs”: [], “source”: [

“from scipy import special as sfn”, “from astropy.coordinates import SkyCoordn”, “from popsynth import (ZPowerCosmoDistribution, SoftFluxSelection,n”, ” GalacticPlaneSelection)n”, “ttttt n”, “from popsynth import SFRDistribution, BPLDistribution, PopulationSynth, NormalAuxSampler, AuxiliarySampler, HardFluxSelectionn”, “n”, “%matplotlib inlinen”, “n”, “import matplotlib.pyplot as pltn”, “from jupyterthemes import jtplotn”, “n”, “jtplot.style(context=”notebook”, fscale=1, grid=False)n”, “purple = “#B833FF”n”, “yellow = “#F6EF5B”n”, “n”, “import networkx as nxn”, “import numpy as npn”, “import warningsn”, “n”, “warnings.simplefilter(“ignore”)n”

]

}, {

“cell_type”: “markdown”, “id”: “175ec9be”, “metadata”: {}, “source”: [

“The work mentioned above presents 3 models for the BL Lac luminosity function. Here, we focus on the case of pure density evolution (referred to as PDE in the paper). In this case, the BL Lac population is parametrised as having a broken power law luminosity distribution, with an independent density evolution following a cosmological power law distribution.n”, “n”, “We work with a luminosity range of $L_\mathrm{min} = 7\times 10^{43}$ erg $\mathrm{s}^{-1}$ and $L_\mathrm{max} = 10^{52}$ erg $\mathrm{s}^{-1}$ following Ajello et al. 2014. All luminosities are in units of erg $\mathrm{s}^{-1}$. Similarly, the maxium redshift considered in $z=6$.n”, “n”, “We start by setting up the broken power law distribution (BPLDistribution).”

]

}, {

“cell_type”: “code”, “execution_count”: 2, “id”: “8e77a967”, “metadata”: {

“execution”: {
“iopub.execute_input”: “2022-02-09T16:32:19.019086Z”, “iopub.status.busy”: “2022-02-09T16:32:19.018538Z”, “iopub.status.idle”: “2022-02-09T16:32:19.459427Z”, “shell.execute_reply”: “2022-02-09T16:32:19.459771Z”

}

}, “outputs”: [

{
“data”: {
“text/plain”: [
“Text(0.5, 0, ‘L [erg $\mathrm{s}^{-1}$]’)”

]

}, “execution_count”: 2, “metadata”: {}, “output_type”: “execute_result”

}, {

“data”: {

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n”, “text/plain”: [

“<Figure size 576x504 with 1 Axes>”

]

}, “metadata”: {}, “output_type”: “display_data”

}

], “source”: [

“bpl = BPLDistribution()n”, “bpl.alpha = -1.5n”, “bpl.beta = -2.5n”, “bpl.Lmin = 7e43n”, “bpl.Lmax = 1e52n”, “bpl.Lbreak = 1e47n”, “n”, “fig, ax = plt.subplots()n”, “L = np.geomspace(bpl.Lmin, bpl.Lmax)n”, “ax.plot(L, bpl.phi(L), color=purple)n”, “ax.set_xscale(“log”)n”, “ax.set_yscale(“log”)n”, “ax.set_xlabel(r”L [erg $\mathrm{s}^{-1}$]”)”

]

}, {

“cell_type”: “markdown”, “id”: “f43e3e78”, “metadata”: {}, “source”: [

“We now move to the redshift distribution. Following the paper, we parametrize this as a negative power law in $z$. for the purpose of this example, we assume that Bl Lac blazars emit with a steady state. This means that we need to set the is_rate parameter to False when defining the ZPowerCosmoDistribution cosmological distribution. What we mean when we do this is that our local number density, Lambda is not per unit time. We also want to survey the whole sky, so we integrate over $4\pi$ sr in the value that we pass to the Lambda. “

]

}, {

“cell_type”: “code”, “execution_count”: 3, “id”: “dacf8195”, “metadata”: {

“execution”: {
“iopub.execute_input”: “2022-02-09T16:32:19.489573Z”, “iopub.status.busy”: “2022-02-09T16:32:19.483197Z”, “iopub.status.idle”: “2022-02-09T16:32:20.280695Z”, “shell.execute_reply”: “2022-02-09T16:32:20.279795Z”

}

}, “outputs”: [

{
“data”: {
“text/plain”: [
“Text(0, 0.5, ‘$\frac{\mathrm{d}N}{\mathrm{d}V}$’)”

]

}, “execution_count”: 3, “metadata”: {}, “output_type”: “execute_result”

}, {

“data”: {

“image/png”: 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”, “text/plain”: [

“<Figure size 576x504 with 1 Axes>”

]

}, “metadata”: {}, “output_type”: “display_data”

}

], “source”: [

“zpow = ZPowerCosmoDistribution(is_rate=False)n”, “zpow.Lambda = 9000 # Gpc^-3 sr n”, “zpow.delta = -6n”, “n”, “fig, ax = plt.subplots()n”, “z = np.linspace(0.01, 6)n”, “ax.plot(z, zpow.dNdV(z), color=purple)n”, “ax.set_yscale(“log”)n”, “ax.set_xlabel(“z”)n”, “ax.set_ylabel(r”$\frac{\mathrm{d}N}{\mathrm{d}V}$”)”

]

}, {

“cell_type”: “markdown”, “id”: “d693b3c3”, “metadata”: {}, “source”: [

“Apart from their redshifts and luminosities, BL Lacs also have other properties. As a simple example, we can consider their spectral index, assuming that the gamma-ray emission is well modelled in the energy range of interest (0.1 to 100 GeV) by a simple power law. n”, “n”, “We assume these true values of these indices are normally distributed with mean, $\mu$, and standard deviation, $\tau$. Additionally, we recognise that these are reconstructed quantities in real surveys, with uncertain values. This is reflected in the error, $\sigma$, on the observed values.”

]

}, {

“cell_type”: “code”, “execution_count”: 4, “id”: “f2cea2c6”, “metadata”: {

“execution”: {
“iopub.execute_input”: “2022-02-09T16:32:20.285483Z”, “iopub.status.busy”: “2022-02-09T16:32:20.284943Z”, “iopub.status.idle”: “2022-02-09T16:32:20.287927Z”, “shell.execute_reply”: “2022-02-09T16:32:20.287074Z”

}

}, “outputs”: [], “source”: [

“index = NormalAuxSampler(name=”index”)n”, “index.mu = 2.1n”, “index.tau = 0.25n”, “index.sigma = 0.1”

]

}, {

“cell_type”: “markdown”, “id”: “092f03a0”, “metadata”: {}, “source”: [

“We know that the Fermi-LAT detector cannot detect all objects in the Universe, and it is necessary to model some kind of selection function. In general, brighter and spectrally harder objects are easier to detect. We take this into acount by selecting on the flux, $F=L/4\pi d_L^2(z)$, where $d_L$ is the luminosity distance in cm.n”, “n”, “This selection effect will not really be a hard boundary, although we could approximate it as such. In reality, the probability to detect an object increases as a function of its flux. To capture this effect, we consider a SoftFluxSelection as follows.”

]

}, {

“cell_type”: “code”, “execution_count”: 5, “id”: “8f1071cb”, “metadata”: {

“execution”: {
“iopub.execute_input”: “2022-02-09T16:32:20.293740Z”, “iopub.status.busy”: “2022-02-09T16:32:20.293204Z”, “iopub.status.idle”: “2022-02-09T16:32:20.816402Z”, “shell.execute_reply”: “2022-02-09T16:32:20.815514Z”

}

}, “outputs”: [

{
“data”: {
“text/plain”: [
“Text(0, 0.5, ‘Detection prob.’)”

]

}, “execution_count”: 5, “metadata”: {}, “output_type”: “execute_result”

}, {

“data”: {

“image/png”: 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KFkNCL+h8stVJRIKfSl1EglZtIVSsN0+Q0xSrIoenUheRoFW0GHBAj8usTiISGlTqIhKUDI9Z6t2GQLzT6jQioUGlLiJBqWK9OXmLTpAT8Z5KXUSCUtEiiEyAlPOsTiISOlTqIhJ03HXgWg7OCyAq3uo0IqFDpS4iQad0BTTXQtoVVicRCS0qdREJOjsXQ3w6JJ1qdRKR0KJSF5GgUueC8s8g7TJw6H8okSOifzIiElSK/wUYkHa51UlEQo9KXUSChmHAzkWQdDok9LQ6jUjoUamLSNDY8zXUbtdWusjRUqmLSNDYuQgiYs1L2UTkyKnURSQoNDeAaymkng9RHaxOIxKaVOoiEhR2rQJ3lXa9ixyLYyr1K67QnSFExDd2LoK4VHMCFxE5OsdU6mPGjPFVDhEJY42VsHsNOC8GR6TVaURCl7bURcRyJcvBaIYeF1udRCS0RXm74urVq1m8eDGlpaWkpKRw+eWXM2zYMH9mE5EwUfwBJPaGjsdbnUQktHm1pf7KK68wceJEOnfuTFZWFl26dOH+++/nlVde8Xc+EbG5+lJz7nTnxeBwWJ1GJLR5taX+5z//mddee43jj//+x+iRI0fyi1/8gttuu81v4UTE/lxLAUO73kV8wetj6r179271OiMjA8cR/FhdUFDAqFGjyM7OZuzYsVRXVx+0TnNzMzNnzuTiiy9mxIgRzJo1y+v3F5HQVPwBdBpo7n4XkWPTbql7PJ6Wx913383kyZPZunUr9fX1bNmyhUcffZR77rnH6w/KyclhwoQJ5OXlkZmZyZw5cw5aZ+7cudTV1bFkyRIWLVrEzTfffHSjEpGQULMD9n4Dzmyrk4jYQ7u730888cSWLXHDMABYvHhxq2WLFi3i6quvPuyHlJWVUVhYSFZWFgCjR49m/PjxTJgwodV6r7/+Ou+++27LZ3Tr1u3IRyQiIcP1gfmsUhfxjXZLffny5T77EJfLhdPpbHmdlpZGcXFxq3Wqqqpoamri9ddfZ9WqVXTq1IlJkyZxwgkn+CyHiAQXVx50ORXinYddVUS80G6pp6enH7TM4/FQVlZG9+7diYjw/hL3/Vv6h+J2u6msrMTpdLJgwQJWr17NuHHjWLFihdefIyKho2ojVG+GEyZZnUTEPrxq5urqah566CEGDx7MOeecw+DBg5k0aRJVVVVefYjT6cTlcrW8LioqarXlDpCUlER8fDyXXnopAMOGDaOuro7y8nJvxyIiIaT4A/PucamakU3EZ7wq9RkzZlBXV8d7773Hhg0beO+996irq2PGjBlefUhycjLp6emsXLkSgPnz55OdffBBtOzsbD799FMAvvnmG6Kjo0lKSvJ2LCISIgzD3PXedQjEdrU6jYh9OAwv9o3/5Cc/YdmyZcTHx7csq6mp4aKLLmop4cPJz8/n4Ycfpra2lr59+5Kbm0ttbS1jxoxh4cKFAJSUlDBp0iR2795NbGwskydP5vTTT2/3PWtqasjPz2fgwIEkJiZ6lUNErFf5X/jPrXByDqTrbtMiXjtc73l185nY2FjKy8tbHWevqKggJibG6yADBw7knXfeabWsY8eOLYUOkJqayquvvur1e4pIaCr+ABzRkHKe1UlE7MWrUh89ejS33XYbt956K2lpaRQVFfHqq69yzTXX+DufiNiM0QwlSyH5JxDdweo0IvbiVan/6le/IiUlhUWLFrVM6HL77bczevRof+cTEZspXw8NZbotrIg/HLbUm5ubufXWW5k7d65KXESOmesDiIyH5OFWJxGxn8Oe/R4ZGUlhYaFX15qLiByKpwlKVkBKFkTGWZ1GxH68uqRt3Lhx5OTksHPnTpqbm1vdF15ExFu7/wNNe8xpVkXE97w6pv7II48AtDpT3TAMHA4H3377rX+SiYjtFH8AUZ2g+4+tTiJiT16Vui/vAy8i4am5Hkr/DT0ugYhoq9OI2JNXpb7/+nTDMKioqCApKemI5lIXEdn1MTTXaUY2EX/y6pj63r17efDBBxk0aBBnnXUWgwcP5sEHH6SystLP8UTELoo/gNju0LX9m0SKyDHyqtR//etf09DQwMKFC1m/fj3vvPMOjY2NTJ482d/5RMQG3NVQ9gmkXmRO4iIi/uHV7vc1a9bwySefEBdnXoPSr18/nnzySYYP14WmInJ4pavA0wg9LrI6iYi9ebWlnpmZyc6dO1stKyoqom/fvn4JJSL24loKcanQ+WSrk4jYm1db6sOGDeO2225j5MiRLXOjv/vuu4wcOZL58+e3rKc7zonIDzVVQdka6HUNOLzajBCRo+VVqa9fv55evXqxfv36lmUZGRl88cUXfPHFFwA4HA6VuogcpHQlGE3g1K53Eb/zqtT/8pe/+DuHiNhUyTKIc0Lnk6xOImJ/2hkmIn7TtNfc9e68CHRrCxH/U6mLiN+UrgTDDc4LrU4iEh5U6iLiN66lEJ8GnU60OolIeFCpi4hfNO4xZ2VLvVC73kUCxasT5QCqqqrYsmULNTU1rZYPGzbM56FEJPTtWglGs856Fwkkr0p9wYIFTJ8+nYSEhJa7yoF5GZtmcBORtriWQXw6dBpodRKR8OFVqc+aNYvnnnuOrKwsf+cRERtorDR3vfe5SbveRQLJq2Pqzc3NnH322f7OIiI2Ufrvfbvedda7SEB5Vep33HEHL730Eh6Px995RMQGXMsgIQM6DrA6iUh48Wr3+6uvvkpZWRlz5syhS5curb7373//2w+xRCRUNVZC+WfQ92btehcJNK9K/emnn/Z3DhGxiZIPzV3vqTrrXSTgvCr1oUOH+juHiNhEyVJI6AUdj7M6iUj48eqYelNTE88//zwXXHABgwYN4oILLuD555+nsbHR3/lEJIQ0VsDudeYJctr1LhJ4Xu9+37BhA9OmTSMtLY2ioiJefPFFqqurmTx5sr8zikiIKFkBeHTDGRGreFXqS5YsYeHChSQlJQGQmZnJiSeeyMiRI1XqItLCtQwSe0OH/lYnEQlPXu1+NwzjiJaLSPhp2A3ln5snyGnXu4g1vCr1Sy65hLvuuouPPvqITZs2sWrVKsaNG8ell17q73wiEiJKPsTc9a4bzohYxqvd7w8++CAvvfQS06dPp7S0lJSUFC6//HJ+9atf+TufiIQI11JI7Asd+lmdRCR8eVXqMTEx3Hvvvdx7773+ziMiIaihDCrWQ79fate7iJXaLfXPPvuMIUOGALB69ep230BTr4pIy1nv2vUuYql2S33atGksWrQIgClTprS5jqZeFREwd713yNSudxGrtVvq+wsdYMWKFQEJIyKhp74UKr6E/ndanUREvDr7/a677mpz+fjx430aRkRCT8lywNCud5Fg4FWp/+c//2lz+dq1a30aRkRCj2spdDweEvtYnUREDnn2+3PPPQeY937f//V+O3bsIC0tzX/JRCTo1bmgcgMcN87qJCIChyl1l8sFmHeO2//1fj169ODuu+/2XzIRCXoly8xn3etdJDgcstRnzpwJwGmnncY111wTkEAiEjqK86DTCZDQ0+okIgJeHlOPiYkhPz+/1bL8/Hzeeecdf2QSkRBQWwh7v9FWukgw8arUn3vuOXr06NFqmdPpPOg4u4iED5d2vYsEHa9Kvbq6mg4dOrRa1rFjR/bu3euXUCIS/FxLofPJEN/j8OuKSGB4Ver9+vXjgw8+aLVs6dKl9Oun20eJhKOa7VD1nbbSRYKNVxO6PPDAA4wZM4b333+fjIwMtm/fzurVq5k9e7a/84lIEHItNZ91wxmR4OLVlvoZZ5zBe++9x6BBg6irq2Pw4MEsWrSIH/3oR/7OJyJByLUUupwCcalWJxGRA3m1pQ6Qnp7O7bffTllZGSkpKf7MJCJBrHoLVG+EgQ9YnUREfsirLfW9e/dy//33M3jwYLKzswFYvnw5s2bN8ms4EQk+rqWAQ7veRYKRV6Wek5NDhw4dWLFiBdHR0YB5Q5r333/fr+FEJLgYhlnqSadBbHer04jID3m1+3316tV89NFHREdH43A4AOjatSu7d+/2azgRCS7Vm6BmC/S61uokItIWr7bUO3bsSEVFRatlRUVFJCcn+yWUiAQnVx4QAannWZ1ERNriValfffXV3HPPPaxZswaPx8P69euZNGkS1113nb/ziUiQMAzzLnJdz4DYblanEZG2eLX7/Y477iA2Npbp06fjdruZPHky1157Lbfccou/84lIkKj6Dmq3Q5+brE4iIu3xqtTLysq45ZZbDirxXbt2aRe8SJhwLQVHpHa9iwQzr3a/X3zxxW0uv/zyy30aRkSCU8uu96EQ08XqNCLSHq9K3TCMg5ZVV1e3nAkvIva29xuo2wk9dK93kaB2yN3vWVlZOBwOGhoaOPfcc1t9r7KyUlvqImHCtRQcUZByrtVJRORQDlnqTz/9NIZhMGbMGJ566qmW5Q6Hg27dupGZmen3gCJiLaMZivOg+zCI7mR1GhE5lEOW+tChQwFYs2YN8fHxx/RBBQUFTJo0iZqaGjIzM8nNzT1ojvb9Xn75ZXJzc1m+fDk9e/Y8ps8VkWNTvh4aSqHHBKuTiMjheHVMPTIyklmzZnHBBRe0zMz28ccfM2/ePK8/KCcnhwkTJpCXl0dmZiZz5sxpc71t27axZs0a0tLSvH5vEfGf4n9BZAKknGN1EhE5HK9K/fHHH6egoIDc3NyWk+OOO+44/va3v3n1IWVlZRQWFpKVlQXA6NGjycvLO2g9wzCYPn06kydP1kl4IkGguQFKlpuXsUXGWZ1GRA7Hq+vUly9fTl5eHgkJCUREmD8HpKamUlJS4tWHuFwunE5ny+u0tDSKi4sPWu+tt95i8ODB9OvXz6v3FRH/2vUxuGugx6VWJxERb3hV6tHR0TQ3N7daVl5eTpcuXbz6kLYuifuh0tJS/vGPf/DXv/7Vq/cUEf8rXgIx3cxbw4pI8PNq9/sll1zCpEmT2LFjB2AW8PTp072+pM3pdOJyuVpeFxUVtdpyB/jmm28oLi7mkksu4fzzz8flcnHDDTfwzTffeDsWEfGhpr3mlrozGyK8+vFfRKzmVanfd9999OzZkyuvvJK9e/dy8cUXk5KSwrhx47z6kOTkZNLT01m5ciUA8+fPJzs7u9U65557Lp988gkrVqxgxYoVOJ1O/vrXv3LiiSce4ZBExBdKVoDRBGmXWJ1ERLzlVanHxMQwefJk1q9fz6effsoXX3zB5MmTiYmJ8fqDpk6dyqxZs8jOzmbTpk3cfvvtlJSUMHLkyKMOLyL+U/Q+JPSCTvq5WiRkOAwvDnhv3LiRdevWsWfPHjp37swZZ5xB//79A5HvkGpqasjPz2fgwIEkJiZaHUfENupLYOUI6HcH9B9jdRoR2e9wvXfII2WGYTB58mTeeecdnE4nKSkplJSUUFpaysiRI3niiSd06ZmIDRV/ABg6610k1Byy1N98803Wrl3Lm2++yeDBg1uWb9iwgfvvv5+///3vXH/99X4PKSKBVbwEOp8EiRlWJxGRI3HIY+oLFy7kkUceaVXoAIMHD2by5MksXLjQr+FEJPCqN0FVgbbSRULRIUt906ZNDBkypM3vDRkyhE2bNvkllIhYp2gJOCLBqWlWRULOIUu9ubm53UlXOnTogMfj8UsoEbGG4TF3vXcdCrHdrE4jIkfqkMfU3W43a9asafeOcD+8y5yIhLbKDVBfDMeNtTqJiByNQ5Z6t27dmDx5crvf79q1q88DiYh1it+HiFhIOdfqJCJyNA5Z6itWrAhUDhGxmKcJXMsgJQuidNsHkZDk1R3lRMT+ylZD0x6d9S4SylTqIgKYu96jO0P3YVYnEZGjpVIXEdw1ULpKM7KJhDqVuohQ8iF4GqCHZmQTCWkqdRGheAnEp0OXwYdfV0SCl0pdJMzVl8DuteZWuuZnEgltKnWRMLfzPcAD6VdYnUREjpVKXSSMGR7Y+S50HQIJPa1OIyLHSqUuEsbK10FdEaSPtDqJiPiCSl0kjBUuhKhOkHqe1UlExBdU6iJhqnEPlH4IaZdAZKzVaUTEF1TqImGq+H3wNGrXu4idqNRFwpBhmCfIdToBOg2wOo2I+IpKXSQM7c2HqgJtpYvYjUpdJAztfMecN73HxVYnERFfUqmLhJnmevO2sKnnQ3RHq9OIiC+p1EXCTMlyc1a2nj+1OomI+JpKXSTMFC6EhAxIOt3qJCLiayp1kTBSsx0qvoD0KzV5i4gdqdRFwsjOd8ERCWkjrE4iIv6gUhcJEx63OSNb97MgLtnqNCLiDyp1kTBR9gk07oaeujZdxLZU6iJhonAhxHSD7mdbnURE/EWlLhIGGsrMLfX0ERARZXUaEfEXlbpIGNi5CIxm86x3EbEvlbqIze2fvCXpNEjsbXUaEfEnlbqIzZWvg9rtmrxFJByo1EVsbttfISYJnBdZnURE/E2lLmJjNdth18eQMRoiY61OIyL+plIXsbHtb5p3kMu4yuokIhIIKnURm2qqMk+Q63ExxHa3Oo2IBIJKXcSmdi6E5jrofb3VSUQkUFTqIjbkccO2N83pVTsNtDqNiASKSl3EhkpXQn2xttJFwo1KXcSGtv0N4tMh5Ryrk4hIIKnURWxmzzdQ+SX0utY8811EwodKXcRmtv0NIhOhp+7zLhJ2VOoiNlK/C1x55sQtUR2sTiMigaZSF7GRHW+B4YHe11qdRESsoFIXsYnmetjxT/PkuISeVqcRESuo1EVsongJNO2B3jdYnURErKJSF7EBwzBnY+t4vHnDGREJTyp1ERsoXwvVm82tdIfD6jQiYhWVuogNbPsbxHSFHtlWJxERK6nURUJczdbv50yPiLE6jYhYSaUuEuK2vG6WueZMFxGVukgIq9kBRYuh51UQ283qNCJiNZW6SAjb/DI4oiDzFquTiEgwUKmLhKjqrVC0BHpdA7HdrU4jIsFApS4Sojb9CSJjoe/NVicRkWChUhcJQVUbwbUUel8HMUlWpxGRYKFSFwlBG/8EUYnQ++dWJxGRYBIVqA8qKChg0qRJ1NTUkJmZSW5uLh06fD83ZF1dHffddx9bt24lOjqak08+mWnTphETowtvRQ60Nx9KP4R+d0BMZ6vTiEgwCdiWek5ODhMmTCAvL4/MzEzmzJlz0Dq33HILS5Ys4d1336WxsZF58+YFKp5IyNj4J4jqBL1vtDqJiASbgJR6WVkZhYWFZGVlATB69Gjy8vJarRMfH8+wYcMAcDgcnHTSSRQXFwcinkjIqPwv7PoI+v4cojscfn0RCS8BKXWXy4XT6Wx5nZaWdsjCbmxs5O233+bcc88NQDqR0LHxTxDdGXpda3USEQlGASl1wzCOaN1f//rXDB06lJ/85Cd+TCUSWiq+hN2roe8t5klyIiI/FJBSdzqduFyultdFRUWtttwPNHPmTJqampgyZUogoomEjI1/hJhu5s1mRETaEpBST05OJj09nZUrVwIwf/58srMPniPyD3/4A5s2bSI3N5eICF1tJ7Lf7nVQvg4yb4XIOKvTiEiwClhzTp06lVmzZpGdnc2mTZu4/fbbKSkpYeTIkYB53P3555+nsLCQq6++mpEjR5KbmxuoeCJByzDMrfTYZOj5M6vTiEgwcxhHcsA7yNTU1JCfn8/AgQNJTNRBRrGnsjXw+Xg4YRL0utrqNCJipcP1nvZxiwQxoxn+93uIc0LPkVanEZFgp1IXCWLb55t3kDv+HojQzRVF5DBU6iJBqqEMNr4I3c4E50VWpxGRUKBSFwlS3/0OmhvhhIfA4bA6jYiEApW6SBDa/RkULzEvYUvsbXUaEQkVKnWRIONphG+fhPh08+5xIiLeUqmLBJmt86Bmm7nbXTeaEZEjoVIXCSK1O2HTXEg9H5I19YGIHCGVukiQMAzIfxocETBgotVpRCQUqdRFgsSulbDrY+h/J8S3Pd+RiMghqdRFgoC7Dr7NhQ79oNd1VqcRkVAVZXUAEYHNc6DeBUPnQIT+VYrIUdKWuojFqjeZZ7ynXwFJp1qdRkRCmUpdxEKGB775LUR1gOPvtTqNiIQ6lbqIhba8BhVfmBO2xHSxOo2IhDqVuohFKtbDxj+ak7WkX2l1GhGxA5W6iAUaK+GrKRCfBidN0YQtIuIbOs9WJMAMD3z9GDRWwI//bB5PFxHxBW2piwTYlteh7FMYeD90Gmh1GhGxE5W6SABVfAkbX4LUCyHjKqvTiIjdqNRFAqSxEjZMgbgecNIjOo4uIr6nY+oiAWB44L9ToaHcPI4erePoIuIH2lIXCYCt88zJWgbep+PoIuI/KnURP6v4Cv73B0i9ADKutjqNiNiZSl3EjxorYcNkiHPCSY/qOLqI+JeOqYv4ibsGPr/HvB596BwdRxcR/1Opi/hBcwOsvx+qvoNTn4bOJ1qdSETCgUpdxMc8bvjq11D+OQyaDinnWJ1IRMKFjqmL+JDhgf9Og12r4ISHIO1SqxOJSDhRqYv4iGFAfi4Uvw/974JeOtNdRAJMpS7iIxv/BNv/AX1+Dpm3WZ1GRMKRSl3EB7a+AZvnQPpIOP5eXbomItZQqYsco8KF8N0s8+YyJ01WoYuIdVTqIseg+AP4v8eh249h8G/AEWl1IhEJZ7qkTeQoGAZsfsWcRjXpNPNa9IgYq1OJSLhTqYscIU+juXVetBh6XGpOoxoZa3UqERGVusgRaayELx+EivXQfyxk/lLH0EUkeKjURbxUvRW+mAANpTD4cehxsdWJRERaU6mLeGH3WvhyEkREw5A/QZdBVicSETmYSl3kMHa8Dd8+CYm94fTfQXya1YlERNqmUhdpR3MDFPwetv8Nup8FpzwBUZo+VUSCmEpdpA2VG+C/06FmK/S6DgZMgAj9axGRIKf/pkQO0FwPG/9o3vY1LhV+9Hvo/mOrU4mIeEelLrJPxZfm1nntdsi4Co6/W7vbRSS0qNQl7Lnr4H8vwva/Q3wPOOMl6DbE6lQiIkdOpS5hrfxzc+u8bif0ugaOGw9RCVanEhE5Oip1CUtV/zOPnZeuhPie5rXnXX9kdSoRkWOjUpewUr0ZNs6GkmXm8fL+Y6H3jRAVb3UyEZFjp1KXsFCzHTa9DMVLIDIeMm+DPj+H6E5WJxMR8R2VuthaXRFsmmPOqOaIMou87y0Q08XqZCIivqdSF9sxPFD+BRS+DSXLwREBGddA5i0Q293qdCIi/qNSF9toKIOdi6DwHagrhKiOkDEa+t5k3khGRMTuVOoS0oxmKFttFvmuj8zXSadD/zGQej5ExlmdUEQkcFTqEnKMZqj8r1nixe9DfQnEJEHvG6DnSEjsY3VCERFrqNQlJLhroGyNWeS7PoamSnBEQtchMOA+SMky5zoXEQlnKnUJSoZhnrm+62OzyMs/B6PJPE7e/SxIGW4+65I0EZHvqdQlKHjcUPWdOeVpxVdQ+RU07DK/l9DLvIVrynDocqqmQBURaY/+e5SAMwzzTPUDS3zv/5nTngLEOc2T3boMhu5n6hi5iIi3VOriV01VUL0JqjdC1Sbz66qN4N5rft8RCR0HQPpPIekUs8h1+ZmIyNFRqcsxMQxo2gO1heYx8LqdULvT/Lp2m3lm+n5RidChPzgvhI79za87naD7rouI+IpKXdplNENjBdTvMneXN5SZx7n3P9e5zPJurmn962K6QXyauQu9Y3/o0M8s8LhUcDisGYuISDgIWKkXFBQwadIkampqyMzMJDc3lw4dOrRap6SkhIkTJ1JWVkb37t159tlnSU3Vvthj5XGbl4Q110BT9b7nKnMLu2kPNFa2fm6qhMY9ZqHjOfj9YpIgpjvEO83pShPSIT7dLPL4dG15i4hYxWEYhhGID7r++usZO3YsWVlZPPXUU8TExDBhwoRW6zzwwAOcdtpp3Hjjjbzxxht8+eWXPP300+2+Z01NDfn5+QwcOJDExEQ/j8B3DA94msxLtDzuA74+8NEAnkbz0Vx/wNcN5vea66G57oDnugNe15vF7a4Bd/X3J6C1xxEJ0V0gujPEdDafozub90mPTd73vP/RTdeDi4hY5XC9F5At9bKyMgoLC8nKygJg9OjRjB8//qBSX7FiBb/5zW8AGDVqFM8880wg4rUoXwc73gY85q5nwzCf2fdsePY9mg9Yp/mA77n3FbZ73zK3+fAc+LWbNrd+j0ZErHkb1Mj4Ax5x5gxkUenmfOFRiQc8J7ZeFt3ZXDcyUbvFRUTsICCl7nK5cDqdLa/T0tIoLi5utU5FRQVxcXHEx5v7bhMSEoiLi6OiooKkpKRAxKSxEvZ+a87q5YgAItr+2hFpPiKizek89y9j33NE1L51ovZ9/cPXkRARs+/XR5vPLV9H7XsdC5Gx+9bb/xxjlnZEtPnsiAzIb4uIiISIgJS6N3v4A3QU4JCcF5oPERGRUBQRiA9xOp24XK6W10VFRa223AGSkpKor6+nrq4OgNraWurr6wO2lS4iIhLqAlLqycnJpKens3LlSgDmz59PdnZ2q3UcDgfnnXceCxYsAODtt9/mvPPOC0Q8ERERWwhIqQNMnTqVWbNmkZ2dzaZNm7j99tspKSlh5MiRLes88MADLF68mOzsbBYvXsyDDz4YqHgiIiIhL2CXtPlDqF7SJiIicjQO13sB21IXERER/1Kpi4iI2IRKXURExCZU6iIiIjahUhcREbEJlbqIiIhNqNRFRERsQqUuIiJiEyp1ERERm1Cpi4iI2ERApl71F4/HA0B9fb3FSURERPxvf9/t778fCulSb2xsBGDr1q3WBhEREQmg/f33QyE9oUtjYyNVVVXExMQQEaEjCSIiYm8ej4fGxkY6duxITEzMQd8P6VIXERGR72nzVkRExCZU6iIiIjahUhcREbEJlbqIiIhNqNRFRERsQqUuIiJiEyp1ERERmwjpO8oFSklJCb/73e/YvHkzb775JgD/+c9/ePbZZxkwYACnnXYao0aNsjjlsWtrnABut5uxY8cybNgwfvnLX1qY0DfaGmdBQQHz5s2jqamJ5ORkJk6caHHKY9fWONetW8eCBQswDIM+ffpw5513Wpzy2LU1zvb+LoeytsZUV1fH1KlTSUhIICUlhbvuusvilL6zefNmfve739G1a1f69u3LLbfcYnUkvyguLmbatGl0796diIgIpk+ffkzvZ+st9ZycHIYPH86AAQNaLS8oKGDUqFFkZ2czduxYqqurD/k+qampzJw5ky5durQsczgcJCYmUldXR0ZGhj/ie82f4wSYO3cu2dnZvo59xPw5zuOPP57p06czc+ZMNm/e7I/4XvPnOM844wyeeOIJZs6cybp16/wR32v+HGd7f5et4M9x5uXlkZWVRU5ODlu2bKGystIPIzgyvhrvqlWruPrqq5k6dSpfffUVe/bs8WfsI+arcRYUFHD++eczY8YMysvLaWhoOKZcti71ESNG8Pbbbx+0PCcnhwkTJpCXl0dmZiZz5swBYOPGjdx5552tHqtXr27zvc844wxeeeUVfvOb3/DCCy/4dRyH489xrl27lqSkJHr37u3XMXjDn+MEWLlyJePGjWPw4MF+G4M3/D1OgAULFnDuuef6I77XAjHOYODPcbpcLnr06AFAjx49KC0t9d9AvOSr8V555ZV8+OGH/Pa3v6WysjIoxnYgX43zlFNOYdGiRYwbN47U1FRiY2OPLZgRBo4//viWr3ft2mWcffbZLa83bdpkXHrppV69z5gxY9pcfuuttx5bQB/xxzifeeYZY8aMGcbdd99t3HDDDUZhYaHvAh8lf/953n777UZDQ8OxhfQBf41z3rx5xmuvveabkD7gzz/P9v6MreCPcb7zzjvG4sWLDcMwjIceesioqKjwTVgf8NV4DcMw7rzzTqO6utqn+XzlWMc5d+5cY9WqVYZhGMa0adOMbdu2HVMeW2+pt8XlcuF0Oltep6WlUVxcfMhfU19fz2OPPUZBQQGPPfYYHo+HvLw8Hn30UR544AFGjBjh79hHzFfjnDhxIlOmTOHGG2/k/PPPJz093d/Rj4ivxrl69WpmzJhBTk4OJ554YpsTJVjJV+NctmwZc+fOZePGjUybNs3fsY+Yr8bZ1rJg4qtxZmdns2rVKmbMmEGfPn2C4nBDW45mvEVFRTzyyCNMmjSJESNGkJiY6O+Yx+xoxnnOOefwj3/8gyeeeII9e/a0+vVHI+xOlDOOYv6auLi4g05eyM7ODorjzO3x1Tj3O/PMMznzzDOPNZbP+Wqcw4YNY9iwYb6K5XO+GueFF17IhRde6KtYPuercR7q73Iw8NU44+PjefLJJ30Vy2+OZrxpaWnMmDHDD2n852jG2b9/f58ewg27LXWn04nL5Wp5XVRUdMw/GQUjjdNeNE57CZdx7hcu4w2GcYZdqScnJ5Oens7KlSsBmD9/flBvcR8tjdNeNE57CZdx7hcu4w2Gcdp6PvUpU6bw0UcfUVJSQmpqKsOHD+fxxx8nPz+fhx9+mNraWvr27Utubi4dO3a0Ou5R0zg1zlCkcdprnPuFy3iDdZy2LnUREZFwEna730VEROxKpS4iImITKnURERGbUKmLiIjYhEpdRETEJlTqIiIiNqFSFxFLbNiwgWuvvZYbb7yRiRMn0tTU5LP3rqqqYvTo0Zx22mkUFBT47H1Fgp1KXUQs4XQ6ee2113jjjTdIT09n+fLlPnvvuLg4Zs+ezcUXX+yz9xQJBSp1kRAwYMAATj31VGbNmmV1FJ9JSUkhLi4OgOjoaCIifPffUXR0NF27dm3zezfffDODBg3i+uuv99nniQSLsJulTSSYnH/++ZSVlREZGdmybMmSJaSmph607sKFC+ndu3cg4wXEzp07+eSTT7jrrrsC8nmvv/46CxYs4K233grI54kEkkpdxGJ//OMfOeuss/z2/m63m6goa/6p79q1i4kTJx60/NlnnyU5OZnq6moeeughZs6cSXR0tE/fWyQcqdRFQlRJSQkzZszgs88+IyEhgVtvvZWbb74ZMPcAXHfddbz33nts2bKFL7/8ku+++44pU6awbds2hg8fTkREBL179+a+++5r8/2Li4t5/PHHWbduHYZhcPnll/PYY49x/vnnc8MNN7Bw4UJ27NjBZZddxsSJE3n44Yf5/PPPOeWUU3juuefo3LkzycnJ/OUvf2nz/d1uN/fddx/jx48nMzPzkGOdPXs2f/nLX6iuriYlJYWpU6cybNiwdt9bJFzpmLpICPJ4PNx1110MGDCAVatW8dprr/Haa6/x0UcftayzePFiZs+ezbp16/B4PIwfP55Ro0axdu1aRowYwbJly9p9/+bmZu68807S0tJYsWIFq1at4rLLLmv5fl5eHn/+85/54IMP+PDDD7njjjuYOHEia9aswePxeFW2ixYtYsOGDbz44ovcdNNN/Otf/2pzvc2bN/PGG28wf/581q9fz9y5c0lPTz/s+99xxx18/PHHPProoyxYsOCw64vYgbbURSw2bty4lmPqQ4cO5cUXXzzsr/n6668pLy9n/PjxAGRkZHDNNdfwr3/9i+HDhwNw00030aNHDwA+++wz3G43N998Mw6Hg+zsbAYNGtTu+2/YsIHS0lIeeuihll33Z5xxRsv3f/7zn9O9e/eW5V27duXEE08E4KKLLmL16tWHHcNPf/pTfvrTnx52vcjISBobG9m0aRNdu3alZ8+eh/01AC+//LJX64nYiUpdxGJ/+MMfjviY+s6dOyktLW1VtM3Nza1e7y90gNLSUlJTU3E4HG1+/4eKi4tJS0tr91j8/kIHiI2NbfU6Li6O2traIxrPofTu3ZvJkyfzwgsvsHHjRs4++2wefvjhNk8mFAl3KnWRENSjRw969uxJXl5eu+scWODJycmUlJRgGEbL8uLiYjIyMtp9/+LiYktPsjvQFVdcwRVXXEF1dTWPPfYYubm5PP3001bHEgk6OqYuEoIGDx5MYmIis2fPpr6+nubmZgoKCtiwYUOb65966qlERkYyb9483G43y5Yt4+uvvz7k+ycnJ/PMM89QW1tLQ0MDn3/+ub+Gc0ibN29m9erVNDY2EhMTQ2xsrE+vaRexE/3LEAlBkZGR/PGPfyQ/P58LLriAH//4xzzyyCNUV1e3uX5MTAwvvPAC8+fPZ8iQIbz77ruce+65xMTEHPL9t23bxnnnncc555zD+++/788htauxsZFnnnmGM888k7PPPpvy8vI2L2UTEXAYhmFYHUJEDm3QoEHExMRw0003MWHCBJ+859VXX811113HVVdd5ZP3CxW/+MUv+PLLLxk8eDCvvfaa1XFEfEqlLhIm1q5dS9++fUlKSuK9994jJyeHZcuWkZKSYnU0EfER68+AEZGA2LJlCxMmTKCuro6ePXvy/PPPq9BFbEZb6iIiIjahE+VERERsQqUuIiJiEyp1ERERm1Cpi4iI2IRKXURExCZU6iIiIjahUhcREbEJlbqIiIhNqNRFRERsQqUuIiJiE/8PD4OwWr8BFuMAAAAASUVORK5CYII=n”, “text/plain”: [

“<Figure size 576x504 with 1 Axes>”

]

}, “metadata”: {}, “output_type”: “display_data”

}

], “source”: [

“flux_selector = SoftFluxSelection()n”, “flux_selector.boundary = 4e-12 # erg cm^-2 s^-1n”, “flux_selector.strength = 2n”, “n”, “# This is what is happening under the hoodn”, “fig, ax = plt.subplots()n”, “F = np.geomspace(1e-15, 1e-8)n”, “ax.plot(F, sf.expit(flux_selector.strength * (np.log10(F) - np.log10(flux_selector.boundary))), color=purple)n”, “ax.set_xscale(“log”)n”, “ax.set_xlabel(“F [erg $\mathrm{cm}^{-2}$ $\mathrm{s}^{-1}$]”)n”, “ax.set_ylabel(“Detection prob.”)”

]

}, {

“cell_type”: “markdown”, “id”: “1fbfaac0”, “metadata”: {}, “source”: [

“Finally, sometimes it is harder to detect objects near the bright Galactic plane. We take this into account by excluding $10^\circ$ either side of the plane in Galactic longitude using the GalacticPlaneSelector.”

]

}, {

“cell_type”: “code”, “execution_count”: 6, “id”: “9cc5ca4d”, “metadata”: {

“execution”: {
“iopub.execute_input”: “2022-02-09T16:32:20.820537Z”, “iopub.status.busy”: “2022-02-09T16:32:20.820051Z”, “iopub.status.idle”: “2022-02-09T16:32:20.823340Z”, “shell.execute_reply”: “2022-02-09T16:32:20.822876Z”

}

}, “outputs”: [], “source”: [

“gp = GalacticPlaneSelection()n”, “gp.b_limit = 10”

]

}, {

“cell_type”: “markdown”, “id”: “69d6fc97”, “metadata”: {}, “source”: [

“Now, lets finally bring all this together to make a simulated population. Here, we defined our luminosity and spatial distributions already, so we can use them directly in PopulationSynth, but there is also the BPLZPowerCosmoPopulation available as a quick interface.”

]

}, {

“cell_type”: “code”, “execution_count”: 7, “id”: “77a4eac2”, “metadata”: {

“execution”: {
“iopub.execute_input”: “2022-02-09T16:32:20.829180Z”, “iopub.status.busy”: “2022-02-09T16:32:20.827970Z”, “iopub.status.idle”: “2022-02-09T16:32:20.829781Z”, “shell.execute_reply”: “2022-02-09T16:32:20.830202Z”

}

}, “outputs”: [], “source”: [

“# Main pop synthn”, “pop_synth = PopulationSynth(spatial_distribution=zpow, luminosity_distribution=bpl)n”, “n”, “# Add our selection effectsn”, “pop_synth.set_flux_selection(flux_selector)n”, “pop_synth.add_spatial_selector(gp)n”, “n”, “# Add our auxiliary param - spectral indexn”, “pop_synth.add_observed_quantity(index)”

]

}, {

“cell_type”: “markdown”, “id”: “4ede5f7a”, “metadata”: {}, “source”: [

“Lets run it! The last parameter to set is adding some uncertainty to our observed flux values.”

]

}, {

“cell_type”: “code”, “execution_count”: 8, “id”: “91127fe2”, “metadata”: {

“execution”: {
“iopub.execute_input”: “2022-02-09T16:32:20.838419Z”, “iopub.status.busy”: “2022-02-09T16:32:20.837907Z”, “iopub.status.idle”: “2022-02-09T16:32:26.753620Z”, “shell.execute_reply”: “2022-02-09T16:32:26.752872Z”

}

}, “outputs”: [

{
“data”: {
“application/vnd.jupyter.widget-view+json”: {
“model_id”: “97eff41169874d01a96583b69469a35a”, “version_major”: 2, “version_minor”: 0

}, “text/plain”: [

“Drawing distances: 0%| | 0/9254 [00:00<?, ?it/s]”

]

}, “metadata”: {}, “output_type”: “display_data”

}

], “source”: [

“population = pop_synth.draw_survey(flux_sigma=0.1)”

]

}, {

“cell_type”: “markdown”, “id”: “2855b2fd”, “metadata”: {}, “source”: [

“We can now have a look at the properties of this simulated population, such as the detected and undetected fluxes and distances.”

]

}, {

“cell_type”: “code”, “execution_count”: 9, “id”: “fc53b8c2”, “metadata”: {

“execution”: {
“iopub.execute_input”: “2022-02-09T16:32:26.773101Z”, “iopub.status.busy”: “2022-02-09T16:32:26.769572Z”, “iopub.status.idle”: “2022-02-09T16:32:27.492535Z”, “shell.execute_reply”: “2022-02-09T16:32:27.491555Z”

}

}, “outputs”: [

{
“data”: {

“image/png”: 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”, “text/plain”: [

“<Figure size 576x504 with 1 Axes>”

]

}, “metadata”: {}, “output_type”: “display_data”

}

], “source”: [

“population.display_fluxes(true_color=purple, obs_color=yellow, with_arrows=False, s=5);”

]

}, {

“cell_type”: “code”, “execution_count”: 10, “id”: “6d3c2ca4”, “metadata”: {

“execution”: {
“iopub.execute_input”: “2022-02-09T16:32:27.513561Z”, “iopub.status.busy”: “2022-02-09T16:32:27.511934Z”, “iopub.status.idle”: “2022-02-09T16:32:27.643713Z”, “shell.execute_reply”: “2022-02-09T16:32:27.644205Z”

}

}, “outputs”: [

{
“data”: {
“text/plain”: [
“<matplotlib.legend.Legend at 0x7f9b3e5cb700>”

]

}, “execution_count”: 10, “metadata”: {}, “output_type”: “execute_result”

}, {

“data”: {

“image/png”: 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U5wAAwJwx4XDfddddWrVqlXbs2KEPP/xQoVBITqczsb6wsFD9/f2SRk+HFxYWjlkXDAY1MDAgm82m7OxsSVJOTo5sNpsGBgaSNR8AAGa1CZ0qf+aZZ+R0OjU4OKh77rlHTz75pOLx+Flff7Z159oGAACMb0JH3GeOrHNzc3XjjTfq73//u5xOZ+IIW5KCwaAKCgoSrw8Gg2PWOZ1O5efnKxqNamhoSJIUiUQUjUaVn5+ftAkBADCbjRvuSCSicDgsafRu8UAgIJfLJcuy1NnZqXA4rHA4rM7OTlmWJUkqLy9Xe3u7JKm3t1cnT55USUmJ0tLSVFZWpl27dkmSfD6fysrKpmtuAADMOuOeKn/vvff0/e9/X7FYTLFYTF/+8pd1++23Kzs7W+vWrdPq1aslSbW1tSoqKpI0etNZd3e3li9frqysLDU2Nio9ffQ9Ql1dnTZu3Civ1yuHw6Ht27dP3+wAAJhl0uIz/MLz4OCgenp6VFxcrNzc3Cnvz7/4o5/dh6a8u2lhwhgBANPnXO3jyWkAABiEcAMAYBDCDQCAQQg3AAAGIdwAABiEcAMAYBDCDQCAQQg3AAAGIdwAABiEcAMAYBDCDQCAQQg3AAAGIdwAABiEcAMAYBDCDQCAQQg3AAAGIdwAABiEcAMAYBDCDQCAQQg3AAAGIdwAABiEcAMAYBDCDQCAQQg3AAAGIdwAABiEcAMAYBDCDQCAQQg3AAAGIdwAABiEcAMAYBDCDQCAQQg3AAAGIdwAABiEcAMAYBDCDQCAQQg3AAAGIdwAABiEcAMAYBDCDQCAQQg3AAAGIdwAABhkUuG+//775XK5Er97vV5ZliXLstTS0pJYPjIyooaGBlmWJY/Ho4MHDybWhUIh1dTUyO12q6amRqFQKAnTAABgbphwuA8dOqRIJJL4va+vT21tbfL5fPL5fGptbdXx48clST6fT5FIRHv37tWOHTvU0NCgWCwmSWpqapLH45Hf75fH41Fzc3OSpwQAwOw1oXAPDw+rublZ9957b2JZIBBQRUWF7Ha77Ha73G63AoGAJMnv92vt2rWSJJfLJYfDoSNHjkiSurq6VF1dLUmqqqrSvn37kjohAABmswmF+5FHHtGNN96o+fPnJ5aFQiE5nc7E74WFherv70+sKywsHLMuGAxqYGBANptN2dnZkqScnBzZbDYNDAwkZTIAAMx244a7p6dHr7zyitasWTNmeTweP+s2Z1t3rm0AAMD4xg333/72Nx07dkzLli3T0qVLJUlLly6V0+lMHGFLUjAYVEFBgSTJ6XQqGAyOWed0OpWfn69oNKqhoSFJUiQSUTQaVX5+flInBQDAbDVuuNetW6eXXnpJXV1d6urqkjR6ndqyLHV2diocDiscDquzs1OWZUmSysvL1d7eLknq7e3VyZMnVVJSorS0NJWVlWnXrl2SRm9iKysrm665AQAw62Se74ZFRUVat26dVq9eLUmqra1VUVGRpNGbzrq7u7V8+XJlZWWpsbFR6emj7xHq6uq0ceNGeb1eORwObd++feqzAABgjkiLz/ALz4ODg+rp6VFxcbFyc3OnvD//4o9+dh+a8u6mhQljBABMn3O1jyenAQBgEMINAIBBCDcAAAYh3AAAGIRwAwBgEMINAIBBCDcAAAYh3AAAGIRwAwBgEMINAIBBCDcAAAYh3AAAGIRwAwBgEMINAIBBCDcAAAYh3AAAGIRwAwBgEMINAIBBCDcAAAYh3AAAGIRwAwBgEMINAIBBCDcAAAYh3AAAGIRwAwBgEMINAIBBCDcAAAYh3AAAGIRwAwBgEMINAIBBCDcAAAYh3AAAGIRwAwBgEMINAIBBCDcAAAYh3AAAGIRwAwBgEMINAIBBCDcAAAYh3AAAGIRwAwBgkAmFu7a2VqtWrdLKlSu1YcMGhcNhSdJzzz0nt9sty7L0s5/9bMw2zc3NsixLbrdbzz33XGJ5OBzW7bffrvLyclVXV+vo0aNJnA4AALPbhML92GOP6fe//7327NmjwsJC7dy5Ux988IEefPBBtbS06Pnnn9df//pX/fnPf5Ykvfzyyzp06JCef/55tbS06MEHH0zE/oknntCiRYsUCAT0gx/8QFu3bp22yQEAMNtMKNx5eXmSpFgspqGhIaWlpWn//v26+uqrVVBQoMzMTK1evVp+v1+S5Pf7VVVVpczMTBUUFGjx4sX605/+JEkKBAJau3atJGnJkiV666239O67707H3AAAmHUmfI37u9/9rq655hq9+eabuu2229Tf3y+n05lYX1hYqP7+fklSKBQ667r+/n4VFhZ+6joAAHBuEw73E088oQMHDqikpETPPPOM4vH4WV97rnUAAOD8Tequ8oyMDFVVVamjo+MTR8rBYFAFBQWSJKfT+Yl1Z47AnU6ngsHgp64DAADnNm64//vf/465Bu33+/WFL3xBpaWlOnjwoEKhkEZGRrR7926Vl5dLksrLy+Xz+TQyMqJQKKS//vWvKi0tTaz77W9/K0l68cUXtWDBAjkcjumYGwAAs07meC94//33dffdd2t4eFiStGjRIv3oRz9SXl6e6uvrddNNNykWi6m8vFzXXnutJOnaa6/VgQMHVFFRofT0dNXX1yducLvttttUV1en8vJy5eTkaNu2bdM4PQAAZpe0+Ay/ID04OKienh4VFxcrNzd3yvvzL/7oZ/ehKe9uWpgwRgDA9DlX+3hyGgAABiHcAAAYhHADAGAQwg0AgEEINwAABiHcAAAYhHADAGAQwg0AgEEINwAABiHcAAAYhHADAGAQwg0AgEEINwAABiHcAAAYhHADAGAQwg0AgEEINwAABiHcAAAYhHADAGAQwg0AgEEINwAABiHcAAAYhHADAGAQwg0AgEEINwAABiHcAAAYhHADAGAQwg0AgEEINwAABiHcAAAYhHADAGAQwg0AgEEINwAABiHcAAAYhHADAGAQwg0AgEEINwAABiHcAAAYhHADAGAQwg0AgEEINwAABhk33MFgUOvXr9f111+vFStW6KGHHlI8Hpckeb1eWZYly7LU0tKS2GZkZEQNDQ2yLEsej0cHDx5MrAuFQqqpqZHb7VZNTY1CodA0TAsAgNlp3HBnZGSorq5Ozz//vHw+nw4fPqxAIKC+vj61tbXJ5/PJ5/OptbVVx48flyT5fD5FIhHt3btXO3bsUENDg2KxmCSpqalJHo9Hfr9fHo9Hzc3N0ztDAABmkXHDfckll6ikpESSNG/ePLlcLgWDQQUCAVVUVMhut8tut8vtdisQCEiS/H6/1q5dK0lyuVxyOBw6cuSIJKmrq0vV1dWSpKqqKu3bt29aJgYAwGw0qWvcAwMDeuGFF1RaWqpQKCSn05lYV1hYqP7+fkmjp8MLCwvHrAsGgxoYGJDNZlN2drYkKScnRzabTQMDA8mYCwAAs96Ewz08PKwNGzZo/fr1uuKKKxLXuT/N2dadaxsAADC+CYX79OnTqqur01VXXaVbbrlFkuR0OhNH2NLoTWwFBQWJdcFgcMw6p9Op/Px8RaNRDQ0NSZIikYii0ajy8/OTNiEAAGazCYX7vvvuU25ururr6xPLLMtSZ2enwuGwwuGwOjs7ZVmWJKm8vFzt7e2SpN7eXp08eVIlJSVKS0tTWVmZdu3aJWn0JraysrJkzwkAgFkrc7wXdHd3q729XVdeeaVWr14tSVqzZo2+853vaN26dYlltbW1KioqkjR601l3d7eWL1+urKwsNTY2Kj199D1CXV2dNm7cKK/XK4fDoe3bt0/PzAAAmIXS4jP8wvPg4KB6enpUXFys3NzcKe/Pv/ijn92Hpry7aWHCGAEA0+dc7ePJaQAAGIRwAwBgEMINAIBBCDcAAAYh3AAAGIRwAwBgEMINAIBBCDcAAAYh3AAAGIRwAwBgkHGfVY7U+vjjT2cqHssKABcOR9wAABiEcAMAYBBOlc9AJpx6NuEUPgDMRhxxAwBgEMINAIBBCDcAAAYh3AAAGIRwAwBgEMINAIBBCDcAAAYh3AAAGIRwAwBgEMINAIBBCDcAAAYh3AAAGIRwAwBgEMINAIBBCDcAAAYh3AAAGIRwAwBgEMINAIBBCDcAAAYh3AAAGIRwAwBgEMINAIBBCDcAAAYh3AAAGIRwAwBgEMINAIBBCDcAAAYh3AAAGGTccG/ZskWlpaVyuVxjlnu9XlmWJcuy1NLSklg+MjKihoYGWZYlj8ejgwcPJtaFQiHV1NTI7XarpqZGoVAoiVMBAGD2GzfcN9xwg3w+35hlfX19amtrk8/nk8/nU2trq44fPy5J8vl8ikQi2rt3r3bs2KGGhgbFYjFJUlNTkzwej/x+vzwej5qbm6dhSgAAzF7jhvvqq6+Ww+EYsywQCKiiokJ2u112u11ut1uBQECS5Pf7tXbtWkmSy+WSw+HQkSNHJEldXV2qrq6WJFVVVWnfvn1JnQwAALPdeV3jDoVCcjqdid8LCwvV39+fWFdYWDhmXTAY1MDAgGw2m7KzsyVJOTk5stlsGhgYmMr4AQCYU84r3PF4fNLrzrUNAACYmPMKt9PpTBxhS1IwGFRBQUFiXTAYHLPO6XQqPz9f0WhUQ0NDkqRIJKJoNKr8/PypjB8AgDnlvMJtWZY6OzsVDocVDofV2dkpy7IkSeXl5Wpvb5ck9fb26uTJkyopKVFaWprKysq0a9cuSaM3sZWVlSVpGgAAzA2Z471g06ZN2r9/vyTpuuuuU2lpqR544AGtW7dOq1evliTV1taqqKhI0uhNZ93d3Vq+fLmysrLU2Nio9PTR9wd1dXXauHGjvF6vHA6Htm/fPk3TAgBgdkqLz/CLz4ODg+rp6VFxcbFyc3OnvD//4o9+dh+a8u7mLP4eAWD6nKt9PDkNAACDEG4AAAxCuAEAMAjhBgDAIIQbAACDEG4AAAxCuAEAMAjhBgDAIIQbAACDEG4AAAwy7rPKZ5vrXqhN/Dz0n8ltm/3Z1uQOBgCASeKIGwAAgxBuAAAMMudOlX/cRE59D/2ndtzXAABwoXDEDQCAQeb0EfdkTebomxvZAADTgSNuAAAMQrgBADAIp8rHMZlT3tzIBgCYbhxxAwBgEMINAIBBCDcAAAYh3AAAGIRwAwBgEMINAIBBCDcAAAYh3AAAGIRwAwBgEMINAIBBeOQppsy/ONUjODf3oVSPAACShyNuAAAMQrgBADAIp8qnyWS+KWwy30A2U8z0088z/fQ9AJwvjrgBADAI4QYAwCCcKk+iyZzynsypdAAAzuCIGwAAgxBuAAAMQrgBADAI17hngNn+0TEAQPJwxA0AgEFScsR99OhR3XvvvRocHNSiRYvU3Nwsu92eiqEYZ7J3o3OEbsbDWGb6A20AzBwpCfeWLVt09913a8mSJXrooYe0c+dO3X333akYSspcqI+OTdfHznhDkFwmvLmY6Xjzg7nigof73Xff1YkTJ7RkyRJJ0o033qjvf//7Zw13LBaTJEWj0aT8+adOXfLRvgcHk7LP6fbxMc8UQ6H/S+mfn5FVpszPLD37+s9fwMFgRnihOtUjwFx2WZW0IIn/Dp5p3pkGftwFD3d/f7+cTmfi98997nMKBoNnff3w8LAkqa+vL0kjqPnYzz1J2ud0qxn/JXPS2f/3y990AYcBYM4LS+qZhqScaeDHXfBwx+PxSb0+Ly9PCxcu1Lx585Sezr10AIDZLxaLaXh4WHl5eZ9Yd8HD7XQ61d/fn/j9X//615gj8P81b948XXTRRRdiaAAAzHgX/BD24osv1qWXXqoXX3xRktTe3q7y8vILPQwAAIyUFp/suesk6OnpUX19vSKRiIqKitTc3PyppwMAAMBYKQk3AAA4P9ztBQCAQQg3AAAGmVPhPnr0qKqqqlReXq7bb79d4XA41UMyVjAY1Pr163X99ddrxYoVeuihhyb9UT980v333y+Xy5XqYRgvEomovr5ebrdbK1asUFtbW6qHZLQ//vGPWrVqlSorK/Xtb39b//jHP1I9JGNs2bJFpaWln/j/tdfrlWVZsixLLS0tk9rnnAr3mUetBgIBLVq0SDt37kz1kIyVkZGhuro6Pf/88/L5fDp8+LACgUCqh2W0Q4cOKRKJpHoYs8KDDz6ohQsXyu/369lnn1VFRUWqh2S0zZs3a8eOHero6NDKlSv185//PNVDMsYNN9wgn883ZllfX5/a2trk8/nk8/nU2tqq48ePT3ifcybcn/aoVUJz/i655BKVlJRIGv2svcvlOucT8HBuw8PDam5u1r333pvqoRgvHA5r3759uvXWWxPLeBbE1KSnpyfOUIbDYV1yycx7DPNMdfXVV8vhcIxZFggEVFFRIbvdLrvdLrfbPakezZnv457so1YxcQMDA3rhhRf05JNPpnooxnrkkUd04403av78+akeivFOnDih+fPn64EHHtArr7wip9OpTZs2acGCBakemrGampr0ve99T5/5zGdks9n0q1/9KtVDMlooFNIVV1yR+L2wsHBSlx/mzBE311+nx/DwsDZs2KD169eP+RcRE9fT06NXXnlFa9asSfVQZoWRkREdPXpUy5Ytk8/n07Jly1RfX5/qYRlrZGRETzzxhLxer1588UXdeuutamhoSPWwjDbVHs2ZcE/2UasY3+nTp1VXV6errrpKt9xyS6qHY6y//e1vOnbsmJYtW6alS0e/8Wzp0qX697//neKRmcnpdCovL0+lpaWSpBUrVui1115L8ajM9frrr+u///1v4uaqlStX6i9/+UuKR2W2/+1RMBhUQUHBhLefM+HmUavJd9999yk3N5ejmSlat26dXnrpJXV1damrq0uS1NXVxWnz8+RwOORyuXT48GFJ0oEDB3TllVemeFTmcjqdeuuttxQKhSRJ+/fv5+zaFFmWpc7OToXDYYXDYXV2dsqyrAlvP6eenMajVpOnu7tb69at05VXXpn41rY1a9boO9/5TopHZj6Xy6Xe3t5UD8Nox44d0+bNmxWJRJSXl6cf//jHxGYKfve73+nJJ59URkaGcnJytHXrVhUXF6d6WEbYtGmT9u/fr1AopIKCApWWluqBBx7QU089pdbWVklSbW2tbr755gnvc06FGwAA082ZU+UAAMwGhBsAAIMQbgAADEK4AQAwCOEGAMAghBsAAIMQbgAADEK4AQAwCOEG8Al33323vvKVryT+cblcevrpp1M9LADiyWkAxvHLX/5SHR0deuqpp/TZz3421cMB5rw5833cACbP6/Vq9+7dRBuYQQg3gE/V2tqq9vZ2eb1e5efnp3o4AP4/wg3gE9ra2vTrX/9aLS0tfL0oMMMQbgBj/OY3v9Ezzzwjr9dLtIEZiJvTAIyxePFinTp1SpmZH72v37Jli1avXp26QQFIINwAABiEz3EDAGAQwg0AgEEINwAABiHcAAAYhHADAGAQwg0AgEEINwAABiHcAAAY5P8B9++2TWr0JaoAAAAASUVORK5CYII=n”, “text/plain”: [

“<Figure size 576x504 with 1 Axes>”

]

}, “metadata”: {}, “output_type”: “display_data”

}

], “source”: [

“fig, ax = plt.subplots()n”, “ax.hist(population.distances, color=purple, histtype=”step”, lw=3, label=”All”)n”, “ax.hist(population.distances[population.selection], histtype=”step”, lw=3, n”, ” color=yellow, label=”Detected”)n”, “ax.set_xlabel(“$z$”)n”, “ax.legend()”

]

}, {

“cell_type”: “markdown”, “id”: “96f9a7df”, “metadata”: {}, “source”: [

“We can also check out the spectral index distribution.”

]

}, {

“cell_type”: “code”, “execution_count”: 11, “id”: “168d6b98”, “metadata”: {

“execution”: {
“iopub.execute_input”: “2022-02-09T16:32:27.647182Z”, “iopub.status.busy”: “2022-02-09T16:32:27.646664Z”, “iopub.status.idle”: “2022-02-09T16:32:27.797008Z”, “shell.execute_reply”: “2022-02-09T16:32:27.797506Z”

}

}, “outputs”: [

{
“data”: {
“text/plain”: [
“<matplotlib.legend.Legend at 0x7f9b3e5775e0>”

]

}, “execution_count”: 11, “metadata”: {}, “output_type”: “execute_result”

}, {

“data”: {

“image/png”: 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”, “text/plain”: [

“<Figure size 576x504 with 1 Axes>”

]

}, “metadata”: {}, “output_type”: “display_data”

}

], “source”: [

“fig, ax = plt.subplots()n”, “ax.hist(population.index, color=purple, histtype=”step”, lw=3, label=”All”)n”, “ax.hist(population.index[population.selection], histtype=”step”, lw=3, n”, ” color=yellow, label=”Detected”)n”, “ax.set_xlabel(“Spectral index”)n”, “ax.legend()”

]

}, {

“cell_type”: “markdown”, “id”: “233e3c50”, “metadata”: {}, “source”: [

“Let’s see the distribution of objects on the sky in Galactic coordinates:”

]

}, {

“cell_type”: “code”, “execution_count”: 12, “id”: “9327cb8f”, “metadata”: {

“execution”: {
“iopub.execute_input”: “2022-02-09T16:32:27.803827Z”, “iopub.status.busy”: “2022-02-09T16:32:27.803183Z”, “iopub.status.idle”: “2022-02-09T16:32:28.592247Z”, “shell.execute_reply”: “2022-02-09T16:32:28.592659Z”

}, “tags”: [

“nbsphinx-thumbnail”

]

}, “outputs”: [

{
“data”: {
“text/plain”: [
“<matplotlib.legend.Legend at 0x7f9b3e58e970>”

]

}, “execution_count”: 12, “metadata”: {}, “output_type”: “execute_result”

}, {

“data”: {

“image/png”: 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“text/plain”: [

“<Figure size 576x504 with 1 Axes>”

]

}, “metadata”: {}, “output_type”: “display_data”

}

], “source”: [

“c_all = SkyCoord(population.ra, population.dec, unit=”deg”, frame=”icrs”)n”, “c_sel = SkyCoord(population.ra[population.selection], n”, ” population.dec[population.selection], unit=”deg”, frame=”icrs”,)n”, “n”, “fig, ax = plt.subplots(subplot_kw={“projection”: “hammer”})n”, “ax.scatter(c_all.galactic.l.rad-np.pi, c_all.galactic.b.rad, alpha=0.1, n”, ” color=purple, label=”All”)n”, “ax.scatter(c_sel.galactic.l.rad-np.pi, c_sel.galactic.b.rad, alpha=0.8, n”, ” color=yellow, label=”Detected”)n”, “ax.axhline(0, color=”k”)n”, “ax.legend()”

]

}, {

“cell_type”: “markdown”, “id”: “b5983619”, “metadata”: {}, “source”: [

“We can now imagine that by changing the input parameters, we can fit our model to the observations in order to have an optimal representation of the true BL Lac blazar population with this parameterizations.”

]

}, {

“cell_type”: “code”, “execution_count”: null, “id”: “afafed9f”, “metadata”: {}, “outputs”: [], “source”: []

}

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