{ "cells": [ { "cell_type": "markdown", "id": "cce8c543-a04b-4fc1-b1b0-a163fa29a8da", "metadata": {}, "source": [ "\n", "# Low Count Uncertainties in STIS " ] }, { "cell_type": "markdown", "id": "73b2a09d-d669-414a-a828-0efa956b8661", "metadata": {}, "source": [ "

Learning Goals

\n", "By the end of this tutorial, you will:\n", "\n", "- Understand how the `calstis` pipeline calculates uncertainties with the root-N approximation\n", "- Know in what situations this approximation breaks down (i.e., low counts)\n", "- Calculate more appropriate Poisson confidence intervals\n", "- Compare uncertainties with STIS to those calculated for COS\n", "- Know about a bug in the uncertainties calculated in `inttag` when making sub-exposures from TIME-TAG data\n", "\n", "
\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "
" ] }, { "cell_type": "markdown", "id": "b12bd0ce-fe69-4fb3-a0cf-c6f044d9219d", "metadata": {}, "source": [ "## Introduction\n", "The root-N approximation for error calculation is ubiquitous in astronomy and is appropriate for a wide-range of observing scenarios. The root-N approximation means that the 1-$\\sigma$ uncertainty associated with any measurement of counts (i.e., electrons on a CCD detector) can be approximated by just taking the square root of the number of counts, $N$. However, this approximation *does* break down for low counts $\\lesssim10$ (inclusive of dark rate and read noise) sometimes seen in UV observations with instruments like HST/STIS and HST/COS.\n", "\n", "In this notebook, we will look at where and why the root-N approximation breaks down, how the calculate appropriate Poisson confidence intervals, and how to apply that to HST/STIS observations. Some of these issues have been address in the HST/COS pipeline, CalCOS, so we compare to that in Section 5 as well.\n", "\n", "For more information about calstis see:\n", "- [STIS Calibration in the STIS Data Handbook](https://hst-docs.stsci.edu/stisdhb/chapter-3-stis-calibration)\n", "- [the `stistools` package documentation](https://stistools.readthedocs.io/en/latest/calstis.html)" ] }, { "cell_type": "markdown", "id": "255e9cb0-15f1-4c72-87b1-c2db908e31f6", "metadata": {}, "source": [ "### Import Necessary Packages\n", "- `astropy.io.fits` for accessing FITS files\n", "- `astroquery.mast.Observations` for finding and downloading data from the [MAST](https://mast.stsci.edu/portal/Mashup/Clients/Mast/Portal.html) archive\n", "- `os`, `shutil`, & `pathlib` for managing system paths\n", "- `matplotlib` for plotting data\n", "- `numpy` to handle array functions\n", "- `stistools` for operations on STIS Data\n", "- `astropy.stats` and `scipy.stats` for the Poisson confidence interval function(s)" ] }, { "cell_type": "code", "execution_count": 1, "id": "60ff5736-2646-4bee-a08f-b50b903dce17", "metadata": { "execution": { "iopub.execute_input": "2024-10-22T23:57:11.472739Z", "iopub.status.busy": "2024-10-22T23:57:11.472241Z", "iopub.status.idle": "2024-10-22T23:57:15.201559Z", "shell.execute_reply": "2024-10-22T23:57:15.200939Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The following tasks in the stistools package can be run with TEAL:\n", " basic2d calstis ocrreject wavecal x1d x2d\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/opt/hostedtoolcache/Python/3.11.10/x64/lib/python3.11/site-packages/stsci/tools/nmpfit.py:8: UserWarning: NMPFIT is deprecated - stsci.tools v 3.5 is the last version to contain it.\n", " warnings.warn(\"NMPFIT is deprecated - stsci.tools v 3.5 is the last version to contain it.\")\n", "/opt/hostedtoolcache/Python/3.11.10/x64/lib/python3.11/site-packages/stsci/tools/gfit.py:18: UserWarning: GFIT is deprecated - stsci.tools v 3.4.12 is the last version to contain it.Use astropy.modeling instead.\n", " warnings.warn(\"GFIT is deprecated - stsci.tools v 3.4.12 is the last version to contain it.\"\n" ] } ], "source": [ "# Import for: Reading in fits file\n", "from astropy.io import fits\n", "\n", "# Import for: Downloading necessary files\n", "# (Not necessary if you choose to collect data from MAST)\n", "from astroquery.mast import Observations\n", "\n", "# Import for: Managing system variables and paths\n", "import os\n", "import shutil\n", "import glob\n", "\n", "# Import for: Plotting and specifying plotting parameters\n", "import matplotlib.pyplot as plt\n", "\n", "# Import for: Operations on STIS Data\n", "import stistools\n", "\n", "# Import numpy\n", "import numpy as np\n", "\n", "# Import astropy and scipy stat stuff\n", "from astropy.stats import poisson_conf_interval\n", "from scipy.stats import norm, poisson\n", "\n", "# Import for shortened outputs\n", "from IPython.display import clear_output\n", "\n", "# Using a colorblind friendly style\n", "plt.style.use('tableau-colorblind10')" ] }, { "cell_type": "markdown", "id": "4669e3ab-4b83-4204-96d6-a1f7b334aa37", "metadata": {}, "source": [ "## Fetch and Read In Data\n", "We're now going to fetch FUV observations to demonstrate where the root-N approximation breaks down. These observations are one orbit of a four-orbit transit time-series of HST/STIS/G140M that observed the Neptune-sized exoplanet GJ 436b transit across the disk of the M-dwarf host star, GJ 436. These observations were used to find hydrogen gas escaping from the planet's atmosphere in a comet-like tail ([Kulow et al. 2014](https://ui.adsabs.harvard.edu/abs/2014ApJ...786..132K/abstract), [Ehrenreich et al. 2015](https://ui.adsabs.harvard.edu/abs/2015Natur.522..459E/abstract))." ] }, { "cell_type": "code", "execution_count": 2, "id": "7ede8a42-02e6-40db-8985-ae71171521b9", "metadata": { "execution": { "iopub.execute_input": "2024-10-22T23:57:15.203569Z", "iopub.status.busy": "2024-10-22T23:57:15.203296Z", "iopub.status.idle": "2024-10-22T23:57:15.835716Z", "shell.execute_reply": "2024-10-22T23:57:15.835260Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Downloading URL https://mast.stsci.edu/api/v0.1/Download/file?uri=mast:HST/product/obgh07020_x1d.fits to ./mastDownload/HST/obgh07020/obgh07020_x1d.fits ..." ] }, { "name": "stdout", "output_type": "stream", "text": [ " [Done]\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "HST STIS FUV-MAMA G140M 52X0.1\n", "Program: 12034\n", "PI: James Carswell Green\n", "Target: GJ436\n", "Time: 2012-12-07 10:58:55\n" ] } ], "source": [ "# remove downlaod directory if it already exists\n", "if os.path.exists(\"./mastDownload\"):\n", " shutil.rmtree(\"./mastDownload\")\n", "\n", "# Search target object by obs_id\n", "target_id = \"obgh07020\"\n", "target = Observations.query_criteria(obs_id=[target_id])\n", "\n", "# get a list of files assiciated with that target\n", "target_list = Observations.get_product_list(target)\n", "\n", "# download only the x1d file\n", "Observations.download_products(target_list, extension='x1d.fits')\n", "\n", "# get file path\n", "file_path_obgh07020 = os.path.join('mastDownload', 'HST', target_id, f'{target_id}_x1d.fits')\n", "\n", "# read in x1d\n", "with fits.open(file_path_obgh07020) as hdu:\n", " header = hdu[0].header\n", " data = hdu[1].data\n", " exptime = hdu[1].header['EXPTIME']\n", " darkcount = hdu[1].header['MEANDARK']\n", " extrsize = hdu[1].data['EXTRSIZE']\n", " flux = hdu[1].data['FLUX'][0]\n", " flux_err = hdu[1].data['ERROR'][0]\n", " net = hdu[1].data['NET'][0]\n", " net_err = hdu[1].data['NET_ERROR'][0]\n", " gross = hdu[1].data['GROSS'][0]\n", " bg = hdu[1].data['BACKGROUND'][0]\n", " waves = hdu[1].data['WAVELENGTH'][0]\n", "\n", "# Print some relevant information for reference...\n", "print(hdu[0].header['TELESCOP'], hdu[0].header['INSTRUME'],\n", " hdu[0].header['DETECTOR'], hdu[0].header['OPT_ELEM'],\n", " hdu[0].header['APERTURE'])\n", "print(f\"Program: {hdu[0].header['PROPOSID']}\")\n", "print(f\"PI: {hdu[0].header['PR_INV_F']} {hdu[0].header['PR_INV_M']} {hdu[0].header['PR_INV_L']}\")\n", "print(f\"Target: {hdu[0].header['TARGNAME']}\")\n", "print(f\"Time: {hdu[0].header['TDATEOBS']} {hdu[0].header['TTIMEOBS']}\")" ] }, { "cell_type": "markdown", "id": "5f6c34f3-43ed-48d9-b527-ae6487ffa048", "metadata": {}, "source": [ "## Pipeline Uncertainties\n", "\n", "Here, we will re-create the root-N approximated uncertainties calculated in the pipeline so that we can be sure of what the pipeline is doing. Let's first plot the data, just so we know what were dealing with:" ] }, { "cell_type": "code", "execution_count": 3, "id": "14813e1b-e335-4343-a7a2-028477ec88ac", "metadata": { "execution": { "iopub.execute_input": "2024-10-22T23:57:15.837533Z", "iopub.status.busy": "2024-10-22T23:57:15.837358Z", "iopub.status.idle": "2024-10-22T23:57:16.039941Z", "shell.execute_reply": "2024-10-22T23:57:16.039436Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Let's plot the flux to see what's going on\n", "fig, ax = plt.subplots()\n", "ax.plot(waves, gross*exptime, label='Gross')\n", "ax.plot(waves, net*exptime, label='Net')\n", "ax.plot(waves, bg*exptime, label='Background')\n", "\n", "ax.vlines(1215.67, -10, 2000, color='k', linestyles=':',\n", " label='Ly-$\\\\alpha$')\n", "ax.set_xlim(1214.5, 1220)\n", "ax.set_ylim(-5, 450)\n", "\n", "ax.set_ylabel('Flux (Counts)', fontsize=12)\n", "ax.set_xlabel('Wavelength ($\\\\mathrm{\\\\AA}$)', fontsize=12)\n", "\n", "ax.legend(ncol=1, fontsize=11)\n", "ax.tick_params(labelsize=11)\n", "plt.title('GJ-436 with STIS/G140M')\n", "\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "id": "79c36000-b19a-4f57-836b-a97cba135794", "metadata": {}, "source": [ "You can see large flux from the star's Lyman-$\\alpha$ emission. The core of the line is getting absorbed by the interstellar medium, or \"ISM\", yet the wide wings of the line do show appreciable flux. This is an important indicator of chromospheric activity in low-mass stars. But if you look outside the line, you'll see almost no flux! This is because low-mass stars, like GJ436, will have very little UV-continuum, mostly because of their relatively cool temperatures." ] }, { "cell_type": "markdown", "id": "c45c1745-2a53-4eb8-8d97-a503728ab63a", "metadata": {}, "source": [ "Now let's look at the uncertainties associated with these measurements. The error in the net counts (and subsequently the flux measurement) is initialized in `calstis`. For MAMA data such as this, the pipeline simply takes the square-root of the counts, $I$, as the error in the counts: $\\sigma = \\sqrt{I}$. For CCD data, we must also account for the gain and readnoise, such that $\\sigma = \\sqrt{\\frac{I-bias}{gain}+(\\frac{readnoise}{gain})^2}$. [See ISR 98-26](https://www.stsci.edu/files/live/sites/www/files/home/hst/instrumentation/stis/documentation/instrument-science-reports/_documents/199826.pdf). Note that the square-root must be taken on the *counts*, not the *count rate* or the *flux*.\n", "\n", "Below, we plot the pipeline uncertainty, as well as a re-creation of the uncertainties from the values in the X1D files." ] }, { "cell_type": "code", "execution_count": 4, "id": "a7b37f03-d9e7-4151-9b5d-b70ce7bc0daf", "metadata": { "execution": { "iopub.execute_input": "2024-10-22T23:57:16.041903Z", "iopub.status.busy": "2024-10-22T23:57:16.041553Z", "iopub.status.idle": "2024-10-22T23:57:16.190905Z", "shell.execute_reply": "2024-10-22T23:57:16.190336Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Let's recreate the errors by taking square root of counts...\n", "# Some of the low flux values may be negative\n", "# especially after dark subtraction,\n", "# so we place a min error at zero (as does the pipeline)\n", "# (Remember, we need to convert to counts, not just the count rate)\n", "count_err = np.sqrt(np.max([gross*exptime, np.zeros(len(gross))],\n", " axis=0))\n", "# Let's also calculate the counts with the mean dark subtracted\n", "# count added back in, because that will also contribute to error\n", "count_err_dark = np.sqrt(np.max([gross*exptime+darkcount*extrsize,\n", " np.zeros(len(gross))], axis=0))\n", "\n", "\n", "# Let's plot the flux to see how we compare to the pipeline\n", "fig, ax = plt.subplots()\n", "ax.plot(waves, net_err*exptime, label='Net Error (Pipeline)', linewidth=2)\n", "ax.plot(waves, count_err, '--', label='Calc Error (Root-N)', linewidth=2)\n", "ax.plot(waves, count_err_dark, ':', label='Calc Error (Root-N) plus Dark', linewidth=2)\n", "\n", "ax.set_xlim(1214.5, 1220)\n", "\n", "ax.set_ylabel('Error (Counts)', fontsize=12)\n", "ax.set_xlabel('Wavelength ($\\\\mathrm{\\\\AA}$)', fontsize=12)\n", "\n", "ax.legend(ncol=1, fontsize=11)\n", "plt.gca().tick_params(labelsize=11)\n", "plt.title('GJ-436 with STIS/G140M')\n", "\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "id": "57b62acd-858f-48cd-b62d-49550f12f98c", "metadata": {}, "source": [ "As you can see, the pipeline uncertainties are mostly just the square root of the counts. Error from dark subtraction is generally pretty small in the FUV; In our observations, the science header states the the mean dark count was 0.0184 counts per pixel (`hdu[1].header['MEANDARK']`) and that's over the whole 2,905 s exposure. In the extraction routines, the pipeline defaults to an extraction height of 11 pixels, so the dark rate is still adding less than a count per wavelength. In the NUV, however, dark rates can be as much as 0.002 counts per second per pixel, which can result in dozens of \"extra\" counts and thus do need to be taken into account in the errors. Errors in the flat-field division will also contribute minutely to the flux error. \n", "\n", "For this notebook, since we're looking at FUV data, we therefore assume the majority of our error comes from photon noise." ] }, { "cell_type": "markdown", "id": "90db0bf5-b7e4-4565-824c-dadcac643021", "metadata": {}, "source": [ "## Poisson Uncertainties\n", "\n", "Because we are measuring a discrete, positive number of counts when we read out an astronomical detector, our measurement comes from a Poisson disstribution. The uncertainty associated with a measurement of a variable described by a Poisson distribution is very often assumed to be the square-root of the value measured, as seen above. This is because the Poisson distribution is a univariate distrbution, defined only by its mean, $\\mu$. The probability of $N$ events is defined as $\\frac{\\lambda^N*e^{-\\lambda}}{N!}$.\n", "\n", "\n", "The Poisson distribution has the special feature that its variance is also equal to $\\mu$. Thus, we usually take the standard-deviation of a measurement to be $\\sqrt{\\mu}$.\n", "\n", "However, the assumption of \"square-root N\" uncertainties is only valid for large $N$. In this large-$n$ regime, the Poisson distribution is relatively symmetric and well-approximated by a Gaussian distribution with standard deviation of $\\sqrt{N}$. At low-$N$, however, the discrete and positive nature of the Poisson distribution results in the distribution becoming highly asymmetric and the Gaussian approximation breaks down. This is demonstrated in the plot below for $\\mu = 1$ and $\\mu = 15$:" ] }, { "cell_type": "code", "execution_count": 5, "id": "a581ca1b-225a-4d02-848c-d20ea324eba4", "metadata": { "execution": { "iopub.execute_input": "2024-10-22T23:57:16.193123Z", "iopub.status.busy": "2024-10-22T23:57:16.192645Z", "iopub.status.idle": "2024-10-22T23:57:16.372282Z", "shell.execute_reply": "2024-10-22T23:57:16.371741Z" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Define color cycle that we'll be using\n", "# cs = ['#1f77b4', '#ff7f0e', '#d62728', '#2ca02c', '#9467bd',\n", "# '#8c564b', '#e377c2', '#7f7f7f', '#bcbd22', '#17becf']\n", "\n", "# Tableau colorblind 10 color cycle\n", "cs = ['#006BA4', '#FF800E', '#ABABAB', '#595959',\n", " '#5F9ED1', '#C85200', '#898989', '#A2C8EC',\n", " '#FFBC79', '#CFCFCF']\n", "\n", "# Define figure\n", "plt.figure(figsize=(10, 5))\n", "\n", "# Define contiuous and discrete N grids (xc and xd)\n", "xc = np.linspace(-2, 30, 1000)\n", "xd = range(30)\n", "\n", "# Define and draw our population mean for our first example, mu=1\n", "# as well as the Gaussian (i.e., root-N) 1-sigma bounds\n", "mu = 1\n", "plt.vlines(1, 0, 1.15, color='k', linestyle=':')\n", "plt.vlines(1+np.sqrt(1), 0, 1.15, color='k', linestyle=':', alpha=0.4)\n", "plt.vlines(1-np.sqrt(1), 0, 1.15, color='k', linestyle=':', alpha=0.4)\n", "\n", "plt.plot(xc, norm.pdf(xc, mu, np.sqrt(mu)) /\n", " np.max(norm.pdf(xc, mu, np.sqrt(mu))),\n", " color=cs[3], label='Gaussian, $\\\\mu$=1, $\\\\sigma = \\\\sqrt{1}$',\n", " linewidth=3)\n", "\n", "# Do the same for mu=15\n", "mu = 15\n", "plt.vlines(15, 0, 1.15, color='k', linestyle='--')\n", "plt.vlines(15+np.sqrt(15), 0, 1.15, color='k', linestyle='--', alpha=0.4)\n", "plt.vlines(15-np.sqrt(15), 0, 1.15, color='k', linestyle='--', alpha=0.4)\n", "\n", "plt.plot(xc, norm.pdf(xc, mu, np.sqrt(mu)) /\n", " np.max(norm.pdf(xc, mu, np.sqrt(mu))),\n", " color=cs[1], label='Gaussian, $\\\\mu$=15, $\\\\sigma = \\\\sqrt{15}$',\n", " linewidth=3)\n", "\n", "# Draw a limit at N=0 to make clear that Gaussian distribution goes beyond\n", "plt.vlines(0, 0, 1.15, color='k')\n", "\n", "# Now do the same for mu=1 and mu=15 but plotting the Poisson distribution\n", "mu = 1\n", "plt.plot(xd, poisson.pmf(xd, mu)/np.max(poisson.pmf(xd, mu)), 'o', color=cs[2],\n", " label='Poisson, $\\\\mu$=1', markersize=8)\n", "plt.plot(xd, poisson.pmf(xd, mu)/np.max(poisson.pmf(xd, mu)),\n", " color=cs[2], alpha=0.9)\n", "mu = 15\n", "plt.plot(xd, poisson.pmf(xd, mu)/np.max(poisson.pmf(xd, mu)), 'o', color=cs[0],\n", " label='Poisson, $\\\\mu$=15', markersize=8)\n", "plt.plot(xd, poisson.pmf(xd, mu)/np.max(poisson.pmf(xd, mu)),\n", " color=cs[0], alpha=0.9)\n", "\n", "plt.ylim(0, 1.15)\n", "plt.xlim(-2, 25)\n", "plt.legend(ncol=1, fontsize=12, loc='upper right')\n", "plt.gca().tick_params(labelsize=12)\n", "plt.ylabel('PDF/PMF (Normalized to Max=1)', fontsize=14)\n", "plt.xlabel('N', fontsize=14)\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "id": "52d6ec47-6839-46dd-9f55-497cf0fcfaae", "metadata": {}, "source": [ "The asymmetry in the Poisson distribution therefore implies we need a different approach to estimate our uncertainties. For that, we'll need to define an upper- and lower-limits on the confidence interval (CI). Formally, [Geherels (1986)](https://ui.adsabs.harvard.edu/abs/1986ApJ...303..336G/abstract) defines these, respectively, as:\n", "\n", "$\\sum_{x=0}^{N}\\frac{\\lambda_u^x e^{-\\lambda_u}}{x!} = 1 - CL$\n", "\n", "$\\sum_{x=0}^{N-1}\\frac{\\lambda_l^x e^{-\\lambda_l}}{x!} = CL $ $(n \\neq 0)$\n", "\n", "Unfortunately, there is no closed form solution to these for $\\lambda_u$ and $\\lambda_l$. To calculate $\\lambda_u$ and $\\lambda_l$, various analytic approximations have been developed based on numerical tabulations, as in [Gehrels (1986)](https://ui.adsabs.harvard.edu/abs/1986ApJ...303..336G/abstract). In that work, Neil Gehrels finds the following 1-$\\sigma$ limit approximations that we'll use:\n", "\n", "$\\lambda_u = N + \\sqrt{N+\\frac{3}{4}} + 1 $\n", "\n", "$\\lambda_d = N (1 - \\frac{1}{9N} - \\frac{1}{3\\sqrt{N}})^3 $\n", "\n", "As $N \\to \\infty$, the approximation will approach the Gaussian $\\sqrt{N}$ approximation. Within astropy.stats, these approximations are implemented in \"poisson_conf_interval\". To get the correct confidence interval method, we choose \"frequentist-confidence\", which recreates these limits closely (confusingly, don't use the \"sherpagehrels\" method, which just uses the upper limit symmetrically).\n", "\n", "\n", "Let's see how this is done and compare to root-N estimates." ] }, { "cell_type": "code", "execution_count": 6, "id": "74c71132-4536-4a7c-bbd3-64f1c08c0679", "metadata": { "execution": { "iopub.execute_input": "2024-10-22T23:57:16.374188Z", "iopub.status.busy": "2024-10-22T23:57:16.373861Z", "iopub.status.idle": "2024-10-22T23:57:16.510999Z", "shell.execute_reply": "2024-10-22T23:57:16.510417Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Define a function that gives us our 1-sigma Poisson\n", "# confidence interval and (subtracting off N)\n", "def gehrels_pci(ns):\n", " up = 1+np.sqrt(ns+0.75)\n", " lo = np.array([n-(n*(1-(1/(9*n))-(1/(3*np.sqrt(n))))**3)\n", " if n > 0 else 0.0 for n in ns])\n", " return [lo, up]\n", "\n", "\n", "lw = 3\n", "ms = 9\n", "N = np.arange(10)\n", "plt.figure()\n", "plt.plot(N, np.sqrt(N), label='Root-N Approximation', linewidth=lw)\n", "plt.plot(N, N-poisson_conf_interval(N, interval='frequentist-confidence')[0],\n", " '-', label='Astropy Lower PCI', linewidth=lw)\n", "plt.plot(N, poisson_conf_interval(N, interval='frequentist-confidence')[1]-N,\n", " '-', label='Astropy Upper PCI', linewidth=lw)\n", "plt.plot(N, gehrels_pci(N)[1], 'o', label='Gehrels Upper PCI', markersize=ms)\n", "plt.plot(N, gehrels_pci(N)[0], 'o', label='Gehrels Lower PCI', markersize=ms)\n", "plt.legend(ncol=1, fontsize=12, loc='lower right')\n", "plt.gca().tick_params(labelsize=14)\n", "plt.ylabel('1-$\\\\sigma$ Uncertainties', fontsize=16)\n", "plt.xlabel('N', fontsize=16)\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "id": "83863d6e-50d5-41aa-89c0-38044e142554", "metadata": {}, "source": [ "As you can see, the uncertainties calculated for a measurement from the Poisson distribution are not well-approximated by the Gaussian root-N approximation, especially for the upper bounds. This is because the upper bounds is basically the root-N approximation plus 1. Futhermore, and importantly, at N=0, the root-N approximation says that our uncertinaity goes to zero, which is clearly absurd! If we don't measure any counts on a pixel, we shouldn't somehow be inifintely sure there were no photons there. The Poisson distribution handles N=0 with an upper limit of 1.866 (while the lower limit does indeed go to zero; we cannot have negative counts!)." ] }, { "cell_type": "markdown", "id": "1555cfd6-b8bb-4876-b7d1-a079ed43a12c", "metadata": {}, "source": [ "## Poisson Uncertainties Applied to STIS\n", "As explained above in Section 2, there are some scenarios on STIS where count rates are low enough that the Gaussian approximation should break down. And in Section 3, we saw explicitly how it breaks down and how to properly apply Poisson Confidence Intervals might work. Here, we'll apply Poisson Confidence Intervals to the same FUV STIS data we saw above.\n", "\n", "Let's zoom into the wavelengths longward of Ly-$\\alpha$, where our signal is very, very low." ] }, { "cell_type": "code", "execution_count": 7, "id": "1a65b4a9-05dc-4435-ba8d-012c045bd4b6", "metadata": { "execution": { "iopub.execute_input": "2024-10-22T23:57:16.512832Z", "iopub.status.busy": "2024-10-22T23:57:16.512632Z", "iopub.status.idle": "2024-10-22T23:57:16.872422Z", "shell.execute_reply": "2024-10-22T23:57:16.871852Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot our flux longward of Ly-A\n", "fig, ax = plt.subplots(2, 1, figsize=(10, 6))\n", "ax[0].plot(waves, gross*exptime, label='Gross')\n", "ax[0].plot(waves, net*exptime, label='Net')\n", "ax[0].plot(waves, bg*exptime, label='Background')\n", "\n", "ax[0].set_xlim(1217, 1220)\n", "ax[0].set_ylim(-1, 5)\n", "\n", "ax[0].set_ylabel('Flux (Counts)', fontsize=12)\n", "\n", "ax[0].legend(ncol=1, fontsize=11)\n", "ax[0].tick_params(labelsize=11)\n", "plt.title('GJ-436 with STIS/G140M')\n", "\n", "fig.tight_layout()\n", "\n", "# Plot errors in this low-count regime\n", "ax[1].plot(waves, net_err*exptime, label='Net Error (Pipeline)', linewidth=2)\n", "ax[1].plot(waves, count_err, '--', label='Calc Error (Root-N)', linewidth=2)\n", "ax[1].plot(waves, count_err_dark, ':',\n", " label='Calc Error (Root-N) plus Dark', linewidth=2)\n", "\n", "ax[1].set_xlim(1217, 1220)\n", "ax[1].set_ylim(-0.2, 3.5)\n", "\n", "ax[1].set_ylabel('Error (Counts)', fontsize=12)\n", "ax[1].set_xlabel('Wavelength ($\\\\mathrm{\\\\AA}$)', fontsize=12)\n", "\n", "ax[1].legend(ncol=1, fontsize=11)\n", "ax[1].tick_params(labelsize=11)\n", "\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "id": "bc0ddb61-add4-47a9-9901-f6b58a0addf2", "metadata": {}, "source": [ "You can see just what we were warning about above at the end of Section 3: when the measured counts go to (or near) zero, our uncertainty now becomes infintesimal... or equivalently, our certainty becomes infinite! So let's see what the proper Poisson unceratinties are." ] }, { "cell_type": "code", "execution_count": 8, "id": "6c60f5b2-b58c-4a95-a5e3-bf93116d3d0a", "metadata": { "execution": { "iopub.execute_input": "2024-10-22T23:57:16.874616Z", "iopub.status.busy": "2024-10-22T23:57:16.874183Z", "iopub.status.idle": "2024-10-22T23:57:17.028033Z", "shell.execute_reply": "2024-10-22T23:57:17.027475Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(9, 5))\n", "\n", "ax.plot(waves, net_err*exptime, label='Net Error', linewidth=2)\n", "\n", "N = gross*exptime\n", "# need nan to num b/c some negative values...\n", "ax.plot(waves, np.nan_to_num(\n", " N-poisson_conf_interval(N, interval='frequentist-confidence')[0]),\n", " '-', label='Astropy Lower PCI', linewidth=lw)\n", "ax.plot(waves,\n", " poisson_conf_interval(N, interval='frequentist-confidence')[1]-N,\n", " '-', label='Astropy Upper PCI', linewidth=lw)\n", "\n", "ax.set_xlim(1217, 1220)\n", "ax.set_ylim(-0.2, 3.5)\n", "\n", "ax.set_ylabel('Error (Counts)', fontsize=12)\n", "ax.set_xlabel('Wavelength ($\\\\mathrm{\\\\AA}$)', fontsize=12)\n", "\n", "ax.legend(ncol=1, fontsize=11)\n", "ax.tick_params(labelsize=11)\n", "\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "id": "2c138b49-7d82-4e21-b021-8950eba1de41", "metadata": {}, "source": [ "When just assuming root-N errors, as the `calstis` pipeline currently does, we are therefore clearly underestimating the true Poisson uncertainty in this low-count regime." ] }, { "cell_type": "markdown", "id": "51e344fd-4987-4f5f-93a3-da924644540e", "metadata": {}, "source": [ "## Comparison to COS\n", "STIS is not the only FUV instrument on HST! The Cosmic Origins Spectrograph has similar UV channels where the regime of low-signal will be relevant. [COS ISR 2021-03](https://www.stsci.edu/files/live/sites/www/files/home/hst/instrumentation/cos/documentation/instrument-science-reports-isrs/_documents/COS_ISR_2021_03.pdf) describes updates to the HST/COS pipeline, [CalCOS](https://github.com/spacetelescope/calcos), that takes into account Poisson uncertainties.\n", "\n", "Let's take a look at COS observations of our now-favorite exoplanet system, GJ-436." ] }, { "cell_type": "code", "execution_count": 9, "id": "094f4709-ad56-4d3a-8b66-35a6fb69d471", "metadata": { "execution": { "iopub.execute_input": "2024-10-22T23:57:17.029771Z", "iopub.status.busy": "2024-10-22T23:57:17.029606Z", "iopub.status.idle": "2024-10-22T23:57:17.548761Z", "shell.execute_reply": "2024-10-22T23:57:17.548300Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Downloading URL https://mast.stsci.edu/api/v0.1/Download/file?uri=mast:HST/product/ld9m12erq_x1d.fits to ./mastDownload/HST/ld9m12erq/ld9m12erq_x1d.fits ..." ] }, { "name": "stdout", "output_type": "stream", "text": [ " [Done]\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "HST COS FUV G130M PSA\n", "Program: 14767\n", "PI: David K. Sing\n", "Target: GJ-436\n", "Date: 2024-09-10\n" ] } ], "source": [ "# Download a COS file for observations of GJ 436\n", "target_id = \"LD9M12010\"\n", "target = Observations.query_criteria(obs_id=[target_id])\n", "\n", "# get a list of files assiciated with that target\n", "target_list = Observations.get_product_list(target)\n", "\n", "# Download just the x1d file\n", "Observations.download_products(target_list, extension='ld9m12erq_x1d.fits')\n", "\n", "# get file path\n", "file_path_ld9m12erq = os.path.join('.', 'mastDownload', 'HST', 'ld9m12erq', 'ld9m12erq_x1d.fits')\n", "\n", "# read in x1d\n", "with fits.open(file_path_ld9m12erq) as hdu:\n", " header = hdu[0].header\n", " data = hdu[1].data\n", " exptime = hdu[1].header['EXPTIME']\n", " # no meandark calculated\n", " # darkcount = hdu[1].header['MEANDARK']\n", " # extrsize = hdu[1].data['EXTRSIZE']\n", " flux = hdu[1].data['FLUX'][0]\n", " flux_err_up = hdu[1].data['ERROR'][0]\n", " flux_err_lo = hdu[1].data['ERROR_lower'][0]\n", " net = hdu[1].data['NET'][0]\n", " var_counts = hdu[1].data['VARIANCE_COUNTS'][0]\n", " var_bkg = hdu[1].data['VARIANCE_BKG'][0]\n", " var_flat = hdu[1].data['VARIANCE_FLAT'][0]\n", " gross = hdu[1].data['GROSS'][0]\n", " bg = hdu[1].data['BACKGROUND'][0]\n", " waves = hdu[1].data['WAVELENGTH'][0]\n", "\n", "# Print some relevant information for reference...\n", "print(hdu[0].header['TELESCOP'], hdu[0].header['INSTRUME'],\n", " hdu[0].header['DETECTOR'], hdu[0].header['OPT_ELEM'],\n", " hdu[0].header['APERTURE'])\n", "print(f\"Program: {hdu[0].header['PROPOSID']}\")\n", "print(f\"PI: {hdu[0].header['PR_INV_F']} {hdu[0].header['PR_INV_M']} {hdu[0].header['PR_INV_L']}\")\n", "print(f\"Target: {hdu[0].header['TARGNAME']}\")\n", "print(f\"Date: {hdu[0].header['DATE']}\")" ] }, { "cell_type": "markdown", "id": "401d37e4-bba4-4333-b83f-30d0dfd78310", "metadata": {}, "source": [ "For COS, columns have been added to the to the processed files (see the list printed below), giving both the Poisson upper and lower errors as well as the equivalent counts from the flux, background, and flat-fields that contribute to the error. The \"equivalent counts\" are listed in the \"VARIANCE_*\" columns in the x1d files can be used to recreate the Poisson confidence interval calculated in the ERROR and ERROR_LOWER columns.\n", "\n", "Also printed below are the maximum and mean VARIANCE_BKG, VARIANCE_FLAT, and VARIANCE_COUNTS values. You can see that the equivalent counts and therefore the subsequent uncertainties are dominated by the measurement of the signal itself, not the background or flat-field reduction steps." ] }, { "cell_type": "code", "execution_count": 10, "id": "dfc3e2c2-1743-49fe-8c47-5f14eee69b7b", "metadata": { "execution": { "iopub.execute_input": "2024-10-22T23:57:17.550639Z", "iopub.status.busy": "2024-10-22T23:57:17.550334Z", "iopub.status.idle": "2024-10-22T23:57:17.554651Z", "shell.execute_reply": "2024-10-22T23:57:17.554172Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ColDefs(\n", " name = 'SEGMENT'; format = '4A'\n", " name = 'EXPTIME'; format = '1D'; unit = 's'; disp = 'F8.3'\n", " name = 'NELEM'; format = '1J'; disp = 'I6'\n", " name = 'WAVELENGTH'; format = '16384D'; unit = 'angstrom'\n", " name = 'FLUX'; format = '16384E'; unit = 'erg /s /cm**2 /angstrom'\n", " name = 'ERROR'; format = '16384E'; unit = 'erg /s /cm**2 /angstrom'\n", " name = 'ERROR_LOWER'; format = '16384E'; unit = 'erg /s /cm**2 /angstrom'\n", " name = 'VARIANCE_FLAT'; format = '16384E'\n", " name = 'VARIANCE_COUNTS'; format = '16384E'\n", " name = 'VARIANCE_BKG'; format = '16384E'\n", " name = 'GROSS'; format = '16384E'; unit = 'count /s'\n", " name = 'GCOUNTS'; format = '16384E'; unit = 'count'\n", " name = 'NET'; format = '16384E'; unit = 'count /s'\n", " name = 'BACKGROUND'; format = '16384E'; unit = 'count /s'\n", " name = 'DQ'; format = '16384I'\n", " name = 'DQ_WGT'; format = '16384E'\n", " name = 'DQ_OUTER'; format = '16384I'\n", " name = 'BACKGROUND_PER_PIXEL'; format = '16384E'; unit = 'count /s /pixel'\n", " name = 'NUM_EXTRACT_ROWS'; format = '16384I'\n", " name = 'ACTUAL_EE'; format = '16384D'\n", " name = 'Y_LOWER_OUTER'; format = '16384D'\n", " name = 'Y_UPPER_OUTER'; format = '16384D'\n", " name = 'Y_LOWER_INNER'; format = '16384D'\n", " name = 'Y_UPPER_INNER'; format = '16384D'\n", ")\n", "Max of VARIANCE_BKG, VARIANCE_FLAT, and VARIANCE_COUNTS:\n", "0.0012501971 0.001131691 55.354454\n", "Mean of VARIANCE_BKG, VARIANCE_FLAT, and VARIANCE_COUNTS:\n", "5.521808e-05 3.7044545e-06 0.52990484\n" ] } ], "source": [ "print(data.columns)\n", "\n", "# Print some invo about the VARIANCE counts\n", "print('Max of VARIANCE_BKG, VARIANCE_FLAT, and VARIANCE_COUNTS:')\n", "print(np.max(var_bkg), np.max(var_flat), np.max(var_counts))\n", "\n", "print('Mean of VARIANCE_BKG, VARIANCE_FLAT, and VARIANCE_COUNTS:')\n", "print(np.mean(var_bkg), np.mean(var_flat), np.mean(var_counts))" ] }, { "cell_type": "markdown", "id": "a31c966e-3bab-4518-925d-d5785a8b9118", "metadata": {}, "source": [ "Now, let's look at what the spectrum and errors look like. While we're looking at the same system, GJ 436, these COS observations are taken at a somewhat longer wavelength range, but otherwise the behavior is the similar to what is seen in STIS (i.e., some strong stellar emission lines surrounded by a very low-count FUV continuum)." ] }, { "cell_type": "code", "execution_count": 11, "id": "413e5664-457f-4b16-b066-5b586ffa89ba", "metadata": { "execution": { "iopub.execute_input": "2024-10-22T23:57:17.556357Z", "iopub.status.busy": "2024-10-22T23:57:17.556056Z", "iopub.status.idle": "2024-10-22T23:57:17.843535Z", "shell.execute_reply": "2024-10-22T23:57:17.842977Z" } }, "outputs": [ { "data": { "image/png": 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Now let's look at what the spectrum and errors really look like\n", "fig, ax = plt.subplots()\n", "\n", "ax.plot(waves, gross*exptime, label='Gross Counts', zorder=999)\n", "ax.plot(waves, net*exptime, label='Net Counts', zorder=998)\n", "ax.plot(waves, var_counts, label='Var Counts', zorder=997)\n", "\n", "ax.set_xlim(1290, 1310)\n", "ax.legend()\n", "\n", "ax.set_ylabel('Flux (counts)', fontsize=12)\n", "ax.set_xlabel('Wavelength ($\\\\mathrm{\\\\AA}$)', fontsize=12)\n", "\n", "ax.tick_params(labelsize=11)\n", "\n", "fig.tight_layout()\n", "\n", "# Zoom in on low_SNR region\n", "fig, ax = plt.subplots()\n", "\n", "ax.plot(waves, gross*exptime, label='Gross Counts', zorder=999)\n", "ax.plot(waves, net*exptime, label='Net Counts', zorder=998)\n", "ax.plot(waves, var_counts, label='Var Counts', zorder=997)\n", "\n", "ax.set_xlim(1380, 1390)\n", "ax.set_ylim(-0.5, 2.5)\n", "\n", "ax.set_ylabel('Flux (counts)', fontsize=12)\n", "ax.set_xlabel('Wavelength ($\\\\mathrm{\\\\AA}$)', fontsize=12)\n", "\n", "ax.tick_params(labelsize=11)\n", "\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "id": "bdbd5d8d-f554-419f-a1cb-d658df43bee2", "metadata": {}, "source": [ "You can see that outside of the emission lines seen between 1300 and 1307 Angstrom, counts are varying between 0, 1, or 2. This is the regime where the Gaussian root-N approximation breaks down. Below, we show how the pipeline Poisson Confidence Interval upper and lower limits compare to the root-N approximation." ] }, { "cell_type": "code", "execution_count": 12, "id": "3aa90399-623c-40c2-afa2-51a7402709c8", "metadata": { "execution": { "iopub.execute_input": "2024-10-22T23:57:17.845522Z", "iopub.status.busy": "2024-10-22T23:57:17.845185Z", "iopub.status.idle": "2024-10-22T23:57:18.112464Z", "shell.execute_reply": "2024-10-22T23:57:18.111950Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/tmp/ipykernel_2237/1276255037.py:4: RuntimeWarning: invalid value encountered in divide\n", " sensitivity = net/flux # counts per second per flux\n" ] }, { "data": { "text/plain": [ "Text(0.5, 0, 'Wavelength ($\\\\mathrm{\\\\AA}$)')" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Convert flux errors to counts/s and then to counts\n", "# You'll get a RuntimeWarning here because some of the values of net and\n", "# flux are zero at the edges of the detector, so it is dividing by zero...\n", "sensitivity = net/flux # counts per second per flux\n", "count_err_up = flux_err_up * exptime * sensitivity\n", "count_err_low = flux_err_lo * exptime * sensitivity\n", "\n", "fig, ax = plt.subplots()\n", "ax.plot(waves, np.sqrt(var_counts), label='Root-N')\n", "ax.plot(waves, count_err_up, label='COS Pipeline PCI Upper')\n", "ax.plot(waves, count_err_low, label='COS Pipeline PCI Lower')\n", "ax.legend()\n", "ax.set_xlim(1380, 1390)\n", "ax.set_ylim(-0.25, 2.75)\n", "\n", "plt.gca().set_ylabel('Error (counts)', fontsize=12)\n", "plt.gca().set_xlabel('Wavelength ($\\\\mathrm{\\\\AA}$)', fontsize=12)" ] }, { "cell_type": "markdown", "id": "09e4fc7f-0df4-448a-b55b-09d81ffca6e8", "metadata": {}, "source": [ "You can see that the COS pipeline gives lower bound uncertainties lower than root-N, but the upper bound uncertainties are significantly higher than root-N (coming from the \"extra +1\" in the Poisson upper confidence interval, or more fundamentally, from the inherent asymmetry of the Poisson distribution at low-N). This is crucial for quantifying non-detections. For example, the sorts of upper limits you can place on something like the FUV continuum of an M-dwarf can come down to how you treat these sorts of uncertainties.\n", "\n", "Thus, the COS pipeline does indeed give the correct Poisson uncertainties. This must be kept in mind when comparing STIS and COS data- make sure you're uncertainties are calculated in the way you expect/desire. This may require you to calculate your own uncertainties in some situations." ] }, { "cell_type": "markdown", "id": "2f883e71-7715-4688-8765-17e0c6efea3f", "metadata": {}, "source": [ "## Recommendations\n", "\n", "As of 5/2024, the `calstis` pipeline calculates all errors according to the root-N approximation. In the future, additional columns may be added to the calibrated files that include the Poisson uncertainties (likely through a python `stistools` routine rather than a change to the C code underlying `calstis`. \n", "\n", "For now, STIS users doing science in the very low count regime (e.g., detecting weak FUV lines or continuum) should calculate more statistically-robust uncertainties should by hand. Our recommendation is to use Astropy's poisson_confidence_interval using the \"frequentist-confidence\" interval method as used in Section 4 on the measured number of counts in the 1D spectrum (converted from GROSS counts/s column).\n", "\n", "In the NUV, long exposures generally have enough dark counts to be in the regime where the Gaussian approximation is at least somewhat valid. For short exposures, however, measured counts may indeed be $<10$ and users may want to opt for a Poisson confidence interval. Because the NUV dark rate is significantly higher than in the FUV, users will want to add the dark counts to the measured number of counts before calculating the Poisson confidence intervals. In lieu of the full-frame dark counts, users can use the average dark count subtracted from each pixel, found with the \"MEANDARK\" keyword in the header of each exposure as we did above. Users will need to multiply this by the extraction box size to get the average number of dark counts subtracted from each column/wavelength." ] }, { "cell_type": "markdown", "id": "4b706da9-86eb-4f6b-b5a3-dd722223a870", "metadata": {}, "source": [ "## Appendix: INTTAG" ] }, { "cell_type": "markdown", "id": "364e3d0f-4908-4a3b-a61c-3e808bff4c29", "metadata": {}, "source": [ "There was recently a bug discovered in the procedure to split STIS TIME-TAG data into sub-exposures. That procedure is carried out with the [`inttag` task in stistools](https://stistools.readthedocs.io/_/downloads/en/doc_updates_rtd/pdf/). `inttag` takes the TIME-TAG table and splits them into sub-exposures with a user-defined duration (*increment* argument) or into a user-defined number of sub-exposures (*rcount* argument). \n", "\n", "Let's download the TIME-TAG file that is associated with the STIS/G140L spectrum of GJ-436 we played with above. Previously, we were just using the orbit-long exposure, but let's use the .tag file to split up the file into 10 subexposures using `inttag`.\n", "\n", "After we split the file up, we'll then run `calstis` to compare the new calibrated x1d file to the original, non-split x1d file. To do this, we'll need to set some paths for the CRDS reference files. You can read more about them here: https://hst-crds.stsci.edu/" ] }, { "cell_type": "code", "execution_count": 13, "id": "e769f40d-7095-4ec8-8f18-e7caf69d4cc7", "metadata": { "execution": { "iopub.execute_input": "2024-10-22T23:57:18.114444Z", "iopub.status.busy": "2024-10-22T23:57:18.114101Z", "iopub.status.idle": "2024-10-22T23:57:40.883412Z", "shell.execute_reply": "2024-10-22T23:57:40.882871Z" } }, "outputs": [], "source": [ "# Let's grab the tag file associated with the x1d STIS file\n", "# that we downloaded above\n", "target_id = \"obgh07020\"\n", "target = Observations.query_criteria(obs_id=[target_id])\n", "\n", "# get a list of files assiciated with that target\n", "target_list = Observations.get_product_list(target)\n", "\n", "# Download the tag file for this observation\n", "Observations.download_products(target_list, extension='tag.fits')\n", "\n", "# get file paths\n", "tag_file = os.path.join('.', 'mastDownload', 'HST', target_id, f'{target_id}_tag.fits')\n", "raw_file = os.path.join('.', 'mastDownload', 'HST', target_id, f'{target_id}_raw.fits')\n", "\n", "# Split up the time-tag file into 10 subexposures\n", "stistools.inttag.inttag(tag_file, raw_file, rcount=10)\n", "\n", "# We then want to re-reduced the raw data to get x1d files,\n", "# and then we'll compare:\n", "# To do this, we also need to download the *_wav.fits file for the wavcal\n", "Observations.download_products(target_list, extension='wav.fits')\n", "\n", "# Set up CRDS\n", "crds_path = os.path.expanduser(\"~\") + \"/crds_cache\"\n", "os.environ[\"CRDS_PATH\"] = crds_path\n", "os.environ[\"CRDS_SERVER_URL\"] = \"https://hst-crds.stsci.edu\"\n", "os.environ[\"oref\"] = os.path.join(crds_path, \"references/hst/oref/\")\n", "!crds bestrefs --update-bestrefs --sync-references=1 --files {raw_file}\n", "\n", "# We need to remove the x1d file we downloaded before\n", "# because we'll replace it with the inttag version\n", "inttag_path = os.path.join('.', 'mastDownload', 'HST', target_id, 'inttag*.fits')\n", "inttag_files = glob.glob(inttag_path)\n", "for file in inttag_files:\n", " try:\n", " os.remove(file)\n", " except OSError:\n", " print('No need to remove...')\n", "\n", "# Now run calstis...\n", "wave_file = os.path.join('.', 'mastDownload', 'HST', target_id, f'{target_id}_wav.fits')\n", "output_path = os.path.join('.', 'mastDownload', 'HST', target_id, 'inttag')\n", "stistools.calstis.calstis(raw_file, wavecal=wave_file, verbose=False,\n", " outroot=output_path)\n", "\n", "clear_output()" ] }, { "cell_type": "markdown", "id": "1a823269-4ce8-4749-9882-f4142ed6933a", "metadata": {}, "source": [ "It was noticed that the uncertainties associated with the subexposures were higher than the root-N expectation. For example, if we plot the uncertainties in the extracted spectrum, the resulting uncertainties on those sub-exposures was far larger than just $\\sqrt{10}$ times the uncertainty on the full exposure. We see this below:" ] }, { "cell_type": "code", "execution_count": 14, "id": "a362f2aa-fd4a-4a29-9744-973088bdc259", "metadata": { "execution": { "iopub.execute_input": "2024-10-22T23:57:40.885542Z", "iopub.status.busy": "2024-10-22T23:57:40.885181Z", "iopub.status.idle": "2024-10-22T23:57:41.029186Z", "shell.execute_reply": "2024-10-22T23:57:41.028597Z" } }, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 0, 'Wavelength ($\\\\mathrm{\\\\AA}$)')" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "hdu = fits.open(file_path_obgh07020)\n", "inttag_x1d_path = os.path.join('.', 'mastDownload', 'HST', target_id, 'inttag_x1d.fits')\n", "hdu_int = fits.open(inttag_x1d_path)\n", "\n", "plt.figure()\n", "plt.plot(hdu[1].data['WAVELENGTH'][0],\n", " hdu[1].data['NET_ERROR'][0],\n", " label='Full exposure errors')\n", "plt.plot(hdu[1].data['WAVELENGTH'][0],\n", " hdu[1].data['NET_ERROR'][0]*np.sqrt(10),\n", " label='$\\\\sqrt{10}$ Sub-exposure expectation')\n", "\n", "plt.plot(hdu_int[1].data['WAVELENGTH'][0],\n", " hdu_int[1].data['NET_ERROR'][0],\n", " label='Sub-exposure pipeline error')\n", "plt.xlim(1210, 1220)\n", "plt.legend()\n", "\n", "plt.gca().set_ylabel('Error (counts/s)', fontsize=12)\n", "plt.gca().set_xlabel('Wavelength ($\\\\mathrm{\\\\AA}$)', fontsize=12)" ] }, { "cell_type": "markdown", "id": "e2811e06-2524-4822-8fe9-b89fe9800f15", "metadata": {}, "source": [ "Upon further inspection, it was found that this bug was related to these Poisson confidence intervals! When *inttag* fills the error arrays for the sub-exposure, rather than taking the square-root of the counts (as the pipeline would normally do), *inttag* actually uses Astropy's poisson_confidence_interval. Unfortunately, `inttag` uses the incorrect method, choosing \"sherpagehrels\" over the more correct \"frequentist-confidence\". As we explored above, \"sherpagehrels\" actually gives symmetric lower and upper bounds, fixed to the upper bound calculated in [Gehrels (1986)](https://ui.adsabs.harvard.edu/abs/1986ApJ...303..336G/abstract). This was probably originally done because there was only room for one value in the error array, so the more conservative upper confidence interval was chosen. \n", "\n", "Furthermore, the Poisson errors are calculated at the pixel level, rather than after spectral extraction where the counts have been added up along columns. In the root-N approximation, this doesn't matter, because adding the root-N errors in quadrature is equivalent to taking the square root of the summed column:\n", "\n", "$\\sqrt{\\sum_i{(\\sqrt{n_i})^2}} = \\sqrt{\\sum_i{n_i}} = \\sqrt{N}$\n", "\n", "In other words, it doesn't matter how the counts are arranged on a pixel column, all that matters is their sum. **But this is not true for Poisson errors.** Whether all your counts are centered on one pixel or whether your counts are distributed evenly accross your extraction window will change what the uncertainty on your spectrum is! \n", "\n", "You can see that in the following example, where we have to scenarios for how the flux is distributed along a column: either all the flux is in one pixel or it is evenly distributed. We then calculate the uncertainty on the extracted flux using the root-N approximation, first adding the error of each pixel in quadrature and then by summing the column and *then* calculating the error. These two methods give the same answer.\n", "\n", "Then, we do the same thing but using Poisson confidence intervals with `astropy`. Now, when we calcualte the errors pixel-by-pixel or on the extracted flux, we get different answers!" ] }, { "cell_type": "code", "execution_count": 15, "id": "c4c214f8-3ffa-4871-95e4-a302bfecf6ac", "metadata": { "execution": { "iopub.execute_input": "2024-10-22T23:57:41.030872Z", "iopub.status.busy": "2024-10-22T23:57:41.030703Z", "iopub.status.idle": "2024-10-22T23:57:41.052145Z", "shell.execute_reply": "2024-10-22T23:57:41.051703Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Scenario 1: [0, 0, 10, 0, 0]\n", "Scenario 2: [2, 2, 2, 2, 2]\n", "---\n", "Root-N Approximation\n", "---\n", "Scenario 1\n", "---\n", "Root-N approximation, add in quadrature: 3.1622776601683795\n", "Root-N approximation, sum column, then take sqrt: 3.1622776601683795\n", "---\n", "Poisson, pixel-by-pixel error calculation: 5.63598288256348\n", "Poisson upper limit, sum column, then calculate error: 4.266949761009391\n", "---\n", "Scenario 2\n", "---\n", "Root-N approximation, add in quadrature: 3.1622776601683795\n", "Root-N approximation, sum column, then take sqrt: 3.1622776601683795\n", "---\n", "Poisson, pixel-by-pixel error calculation: 5.898433433147927\n", "Poisson upper limit, sum column, then calculate error: 4.266949761009391\n" ] } ], "source": [ "# Take two scenarios for how the counts are distributed across\n", "# a fictional extraction window (i.e., column)\n", "scenario1 = [0, 0, 10, 0, 0]\n", "scenario2 = [2, 2, 2, 2, 2]\n", "\n", "\n", "# define helper functions for the following print statements\n", "def quadrature(scenario):\n", " return np.sqrt(np.sum([np.sqrt(i)**2 for i in scenario]))\n", "\n", "\n", "def sum_sq(scenario):\n", " return np.sqrt(np.sum(scenario))\n", "\n", "\n", "def pixel_err(scenario):\n", " return np.sqrt(np.sum(\n", " [(poisson_conf_interval(i, interval='frequentist-confidence')[1]-i)**2 \n", " for i in scenario]))\n", "\n", "\n", "def upper_err(scenario):\n", " return (poisson_conf_interval(\n", " np.sum(scenario), interval='frequentist-confidence')[1]\n", " - np.sum(scenario))\n", "\n", "\n", "print('Scenario 1: ', scenario1)\n", "print('Scenario 2: ', scenario2)\n", "print('---')\n", "print('Root-N Approximation')\n", "print('---')\n", "print('Scenario 1')\n", "print('---')\n", "print('Root-N approximation, add in quadrature: ', quadrature(scenario1))\n", "print('Root-N approximation, sum column, then take sqrt: ', sum_sq(scenario1))\n", "print('---')\n", "print('Poisson, pixel-by-pixel error calculation: ', pixel_err(scenario1))\n", "print('Poisson upper limit, sum column, then calculate error: ', upper_err(scenario1))\n", "print('---')\n", "print('Scenario 2')\n", "print('---')\n", "print('Root-N approximation, add in quadrature: ', quadrature(scenario2))\n", "print('Root-N approximation, sum column, then take sqrt: ', sum_sq(scenario2))\n", "print('---')\n", "print('Poisson, pixel-by-pixel error calculation: ', pixel_err(scenario2))\n", "print('Poisson upper limit, sum column, then calculate error: ', upper_err(scenario2))" ] }, { "cell_type": "markdown", "id": "06c966da-3dc5-40a3-9b31-843c40fedd9d", "metadata": {}, "source": [ "In the end, our recommendation is to use the Poisson confidence intervals, but not at the pixel level because each measurement along a column are not independent events. You would therefore be justified in calculating the Poisson confidence interval on the summed flux at each wavelength/column.\n", "\n", "Because this behavior can catch the users by surprise, as of 5/2024 there is a branch in `stistools` [here](https://github.com/spacetelescope/stistools/tree/sl_inttag-errors) with a fix for this `inttag` bug, where the errors revert to the pipeline's root-N approximation default. In lieu of using that branch, users should recalculate their uncertainties when using `inttag`, especially on low-SNR data." ] }, { "cell_type": "markdown", "id": "a80c5585-ba00-44a1-8bab-1acb2c9b8412", "metadata": {}, "source": [ "---\n", "## About this Notebook \n", "**Author:** [Joshua Lothringer](jlothringer@stsci.edu) with help from [Leo dos Santos](ldsantos@stsci.edu)\n", "\n", "**Updated On:** 2024-05-14\n", "\n", "\n", "> *This tutorial was generated to be in compliance with the [STScI style guides](https://github.com/spacetelescope/style-guides) and would like to cite the [Jupyter guide](https://github.com/spacetelescope/style-guides/blob/master/templates/example_notebook.ipynb) in particular.*\n", "## Citations \n", "\n", "If you use `astropy`, `matplotlib`, `astroquery`, `scipy`, or `numpy` for published research, please cite the\n", "authors. Follow these links for more information about citations:\n", "\n", "* [Citing `scipy`](https://scipy.org/citing-scipy/)\n", "* [Citing `matplotlib`](https://matplotlib.org/stable/users/project/citing.html)\n", "* [Citing `numpy`](https://numpy.org/citing-numpy/)\n", "* [Citing `astroquery`](https://astroquery.readthedocs.io/en/latest/)\n", "* [Citing `astropy`](https://www.astropy.org/acknowledging.html)\n", "\n", "---\n", "\n", "[Top of Page](#top)\n", "\"Space " ] } ], "metadata": { "kernelspec": { "display_name": "stis", "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": "3.11.10" } }, "nbformat": 4, "nbformat_minor": 5 }