{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n", "
\n", "**This is a fixed-text formatted version of a Jupyter notebook.**\n", "\n", "- Try online [![Binder](https://mybinder.org/badge.svg)](https://mybinder.org/v2/gh/gammapy/gammapy-webpage/v0.9?urlpath=lab/tree/analysis_3d.ipynb)\n", "- You can contribute with your own notebooks in this\n", "[GitHub repository](https://github.com/gammapy/gammapy/tree/master/tutorials).\n", "- **Source files:**\n", "[analysis_3d.ipynb](../_static/notebooks/analysis_3d.ipynb) |\n", "[analysis_3d.py](../_static/notebooks/analysis_3d.py)\n", "
\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 3D analysis\n", "\n", "This tutorial shows how to run a 3D map-based analysis using three example observations of the Galactic center region with CTA." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Setup" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import os\n", "import numpy as np\n", "import astropy.units as u\n", "from astropy.coordinates import SkyCoord\n", "from gammapy.extern.pathlib import Path\n", "from gammapy.data import DataStore\n", "from gammapy.irf import EnergyDispersion, make_mean_psf, make_mean_edisp\n", "from gammapy.maps import WcsGeom, MapAxis, Map, WcsNDMap\n", "from gammapy.cube import MapMaker, MapEvaluator, PSFKernel, MapFit\n", "from gammapy.cube.models import SkyModel, SkyDiffuseCube\n", "from gammapy.spectrum.models import PowerLaw, ExponentialCutoffPowerLaw\n", "from gammapy.image.models import SkyGaussian, SkyPointSource\n", "from regions import CircleSkyRegion" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\r\n", "Gammapy package:\r\n", "\r\n", "\tpath : /Users/deil/work/code/gammapy-docs/build/dev/gammapy/gammapy \r\n", "\tversion : 0.9 \r\n", "\r\n", "\r\n", "Other packages:\r\n", "\r\n", "\tnumpy : 1.15.4 \r\n", "\tscipy : 1.1.0 \r\n", "\tmatplotlib : 3.0.2 \r\n", "\tcython : 0.29 \r\n", "\tastropy : 3.0.5 \r\n", "\tastropy_healpix : 0.3.1 \r\n", "\treproject : 0.4 \r\n", "\tsherpa : 4.10.1 \r\n", "\tpytest : 4.0.0 \r\n", "\tsphinx : 1.7.9 \r\n", "\thealpy : 1.12.5 \r\n", "\tregions : 0.3 \r\n", "\timinuit : 1.3.3 \r\n", "\tnaima : 0.8.1 \r\n", "\tuncertainties : 3.0.3 \r\n", "\r\n", "\r\n", "Gammapy environment variables:\r\n", "\r\n", "\tGAMMAPY_DATA : /Users/deil/work/gammapy-tutorials/datasets \r\n", "\tGAMMAPY_EXTRA : /Users/deil/work/code/gammapy-extra \r\n", "\tGAMMA_CAT : /Users/deil/work/code/gamma-cat \r\n", "\tGAMMAPY_FERMI_LAT_DATA : /Users/deil/work/code/gammapy-fermi-lat-data \r\n", "\tCTADATA : /Users/deil/work/data/cta/1dc/1dc \r\n", "\r\n" ] } ], "source": [ "!gammapy info --no-system" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Prepare modeling input data\n", "\n", "### Prepare input maps\n", "\n", "We first use the `DataStore` object to access the CTA observations and retrieve a list of observations by passing the observations IDs to the `.get_observations()` method:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Data store:\n", "HDU index table:\n", "BASE_DIR: /Users/deil/work/gammapy-tutorials/datasets/cta-1dc/index/gps\n", "Rows: 24\n", "OBS_ID: 110380 -- 111630\n", "HDU_TYPE: ['aeff', 'bkg', 'edisp', 'events', 'gti', 'psf']\n", "HDU_CLASS: ['aeff_2d', 'bkg_3d', 'edisp_2d', 'events', 'gti', 'psf_3gauss']\n", "\n", "Observation table:\n", "Observatory name: 'N/A'\n", "Number of observations: 4\n", "Total observation time (hours): 2.0\n", "Observation table: ['OBS_ID', 'RA_PNT', 'DEC_PNT', 'GLON_PNT', 'GLAT_PNT', 'ZEN_PNT', 'ALT_PNT', 'AZ_PNT', 'ONTIME', 'LIVETIME', 'DEADC', 'TSTART', 'TSTOP', 'DATE-OBS', 'TIME-OBS', 'DATE-END', 'TIME-END', 'N_TELS', 'OBJECT', 'CALDB', 'IRF', 'EVENTS_FILENAME', 'EVENT_COUNT']\n", "HDU table: ['OBS_ID', 'HDU_TYPE', 'HDU_CLASS', 'FILE_DIR', 'FILE_NAME', 'HDU_NAME']\n" ] } ], "source": [ "# Define which data to use and print some information\n", "data_store = DataStore.from_dir(\"$GAMMAPY_DATA/cta-1dc/index/gps/\")\n", "data_store.info()\n", "print(\n", " \"Total observation time (hours): \",\n", " data_store.obs_table[\"ONTIME\"].sum() / 3600,\n", ")\n", "print(\"Observation table: \", data_store.obs_table.colnames)\n", "print(\"HDU table: \", data_store.hdu_table.colnames)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "# Select some observations from these dataset by hand\n", "obs_ids = [110380, 111140, 111159]\n", "observations = data_store.get_observations(obs_ids)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we define a reference geometry for our analysis, We choose a WCS based gemoetry with a binsize of 0.02 deg and also define an energy axis: " ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "energy_axis = MapAxis.from_edges(\n", " np.logspace(-1.0, 1.0, 10), unit=\"TeV\", name=\"energy\", interp=\"log\"\n", ")\n", "geom = WcsGeom.create(\n", " skydir=(0, 0),\n", " binsz=0.02,\n", " width=(10, 8),\n", " coordsys=\"GAL\",\n", " proj=\"CAR\",\n", " axes=[energy_axis],\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `MapMaker` object is initialized with this reference geometry and a field of view cut of 4 deg:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 38.5 s, sys: 2.26 s, total: 40.8 s\n", "Wall time: 10.2 s\n" ] } ], "source": [ "%%time\n", "maker = MapMaker(geom, offset_max=4.0 * u.deg)\n", "maps = maker.run(observations)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The maps are prepared by calling the `.run()` method and passing the `observations`. The `.run()` method returns a Python `dict` containing a `counts`, `background` and `exposure` map:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{'counts': WcsNDMap\n", "\n", "\tgeom : WcsGeom \n", " \taxes : lon, lat, energy\n", "\tshape : (500, 400, 9)\n", "\tndim : 3\n", "\tunit : '' \n", "\tdtype : float32 \n", ", 'exposure': WcsNDMap\n", "\n", "\tgeom : WcsGeom \n", " \taxes : lon, lat, energy\n", "\tshape : (500, 400, 9)\n", "\tndim : 3\n", "\tunit : 'm2 s' \n", "\tdtype : float32 \n", ", 'background': WcsNDMap\n", "\n", "\tgeom : WcsGeom \n", " \taxes : lon, lat, energy\n", "\tshape : (500, 400, 9)\n", "\tndim : 3\n", "\tunit : '' \n", "\tdtype : float32 \n", "}\n" ] } ], "source": [ "print(maps)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is what the summed counts image looks like:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "counts = maps[\"counts\"].sum_over_axes()\n", "counts.smooth(width=0.1 * u.deg).plot(stretch=\"sqrt\", add_cbar=True, vmax=6);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is the background image:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "background = maps[\"background\"].sum_over_axes()\n", "background.smooth(width=0.1 * u.deg).plot(\n", " stretch=\"sqrt\", add_cbar=True, vmax=6\n", ");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And this one the exposure image:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "exposure = maps[\"exposure\"].sum_over_axes()\n", "exposure.smooth(width=0.1 * u.deg).plot(stretch=\"sqrt\", add_cbar=True);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also compute an excess image just with a few lines of code:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "excess = counts - background\n", "excess.smooth(5).plot(stretch=\"sqrt\", add_cbar=True);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For a more realistic excess plot we can also take into account the diffuse galactic emission. For this tutorial we will load a Fermi diffuse model map that represents a small cutout for the Galactic center region:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "diffuse_gal = Map.read(\"$GAMMAPY_DATA/fermi_3fhl/gll_iem_v06_cutout.fits\")" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Diffuse image: WcsGeom\n", "\n", "\taxes : lon, lat, energy\n", "\tshape : (88, 48, 30)\n", "\tndim : 3\n", "\tcoordsys : GAL\n", "\tprojection : CAR\n", "\tcenter : 0.0 deg, -0.1 deg\n", "\twidth : 11.0 x 6.0 deg\n", "\n", "counts: WcsGeom\n", "\n", "\taxes : lon, lat, energy\n", "\tshape : (500, 400, 9)\n", "\tndim : 3\n", "\tcoordsys : GAL\n", "\tprojection : CAR\n", "\tcenter : 0.0 deg, 0.0 deg\n", "\twidth : 10.0 x 8.0 deg\n", "\n" ] } ], "source": [ "print(\"Diffuse image: \", diffuse_gal.geom)\n", "print(\"counts: \", maps[\"counts\"].geom)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We see that the geometry of the images is completely different, so we need to apply our geometric configuration to the diffuse emission file:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Before: \n", " WcsGeom\n", "\n", "\taxes : lon, lat, energy\n", "\tshape : (88, 48, 30)\n", "\tndim : 3\n", "\tcoordsys : GAL\n", "\tprojection : CAR\n", "\tcenter : 0.0 deg, -0.1 deg\n", "\twidth : 11.0 x 6.0 deg\n", "\n", "Now (same as maps): \n", " WcsGeom\n", "\n", "\taxes : lon, lat, energy\n", "\tshape : (500, 400, 9)\n", "\tndim : 3\n", "\tcoordsys : GAL\n", "\tprojection : CAR\n", "\tcenter : 0.0 deg, 0.0 deg\n", "\twidth : 10.0 x 8.0 deg\n", "\n" ] } ], "source": [ "coord = maps[\"counts\"].geom.get_coord()\n", "\n", "data = diffuse_gal.interp_by_coord(\n", " {\n", " \"skycoord\": coord.skycoord,\n", " \"energy\": coord[\"energy\"]\n", " * maps[\"counts\"].geom.get_axis_by_name(\"energy\").unit,\n", " },\n", " interp=3,\n", ")\n", "diffuse_galactic = WcsNDMap(maps[\"counts\"].geom, data)\n", "print(\"Before: \\n\", diffuse_gal.geom)\n", "print(\"Now (same as maps): \\n\", diffuse_galactic.geom)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "WcsNDMap\n", "\n", "\tgeom : WcsGeom \n", " \taxes : lon, lat\n", "\tshape : (500, 400)\n", "\tndim : 2\n", "\tunit : '' \n", "\tdtype : float32 \n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# diffuse_galactic.slice_by_idx({\"energy\": 0}).plot(add_cbar=True); # this can be used to check image at different energy bins\n", "diffuse = diffuse_galactic.sum_over_axes()\n", "diffuse.smooth(5).plot(stretch=\"sqrt\", add_cbar=True)\n", "print(diffuse)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We now multiply the exposure for this diffuse emission to subtract the result from the counts along with the background." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "combination = diffuse * exposure\n", "combination.unit = \"\"\n", "combination.smooth(5).plot(stretch=\"sqrt\", add_cbar=True);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can plot then the excess image subtracting now the effect of the diffuse galactic emission." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "excess2 = counts - background - combination\n", "\n", "fig, axs = plt.subplots(1, 2, figsize=(15, 5))\n", "\n", "axs[0].set_title(\"With diffuse emission subtraction\")\n", "axs[1].set_title(\"Without diffuse emission subtraction\")\n", "excess2.smooth(5).plot(\n", " cmap=\"coolwarm\", vmin=-1, vmax=1, add_cbar=True, ax=axs[0]\n", ")\n", "excess.smooth(5).plot(\n", " cmap=\"coolwarm\", vmin=-1, vmax=1, add_cbar=True, ax=axs[1]\n", ");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Prepare IRFs\n", "\n", "To estimate the mean PSF across all observations at a given source position `src_pos`, we use `make_mean_psf()`:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "# mean PSF\n", "src_pos = SkyCoord(0, 0, unit=\"deg\", frame=\"galactic\")\n", "table_psf = make_mean_psf(observations, src_pos)\n", "\n", "# PSF kernel used for the model convolution\n", "psf_kernel = PSFKernel.from_table_psf(table_psf, geom, max_radius=\"0.3 deg\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To estimate the mean energy dispersion across all observations at a given source position `src_pos`, we use `make_mean_edisp()`:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "# define energy grid\n", "energy = energy_axis.edges * energy_axis.unit\n", "\n", "# mean edisp\n", "edisp = make_mean_edisp(\n", " observations, position=src_pos, e_true=energy, e_reco=energy\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Save maps and IRFs to disk\n", "\n", "It is common to run the preparation step independent of the likelihood fit, because often the preparation of maps, PSF and energy dispersion is slow if you have a lot of data. We first create a folder:" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "path = Path(\"analysis_3d\")\n", "path.mkdir(exist_ok=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And then write the maps and IRFs to disk by calling the dedicated `.write()` methods:" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "# write maps\n", "maps[\"counts\"].write(str(path / \"counts.fits\"), overwrite=True)\n", "maps[\"background\"].write(str(path / \"background.fits\"), overwrite=True)\n", "maps[\"exposure\"].write(str(path / \"exposure.fits\"), overwrite=True)\n", "\n", "# write IRFs\n", "psf_kernel.write(str(path / \"psf.fits\"), overwrite=True)\n", "edisp.write(str(path / \"edisp.fits\"), overwrite=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Likelihood fit\n", "\n", "### Reading maps and IRFs\n", "As first step we read in the maps and IRFs that we have saved to disk again:" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "# read maps\n", "maps = {\n", " \"counts\": Map.read(str(path / \"counts.fits\")),\n", " \"background\": Map.read(str(path / \"background.fits\")),\n", " \"exposure\": Map.read(str(path / \"exposure.fits\")),\n", "}\n", "\n", "# read IRFs\n", "psf_kernel = PSFKernel.read(str(path / \"psf.fits\"))\n", "edisp = EnergyDispersion.read(str(path / \"edisp.fits\"))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's cut out only part of the maps, so that we the fitting step does not take so long (we go from left to right one):" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "cmaps = {\n", " name: m.cutout(SkyCoord(0, 0, unit=\"deg\", frame=\"galactic\"), 2 * u.deg)\n", " for name, m in maps.items()\n", "}\n", "cmaps[\"counts\"].sum_over_axes().plot(stretch=\"sqrt\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Insted of the complete one, which was:" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "counts.plot(stretch=\"sqrt\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Fit mask\n", "\n", "To select a certain spatial region and/or energy range for the fit we can create a fit mask:" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "mask = Map.from_geom(cmaps[\"counts\"].geom)\n", "\n", "region = CircleSkyRegion(center=src_pos, radius=0.6 * u.deg)\n", "mask.data = mask.geom.region_mask([region])\n", "\n", "mask.get_image_by_idx((0,)).plot();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In addition we also exclude the range below 0.3 TeV for the fit:" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [], "source": [ "coords = mask.geom.get_coord()\n", "mask.data &= coords[\"energy\"] > 0.3" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Model fit\n", "\n", "No we are ready for the actual likelihood fit. We first define the model as a combination of a point source with a powerlaw:" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [], "source": [ "spatial_model = SkyPointSource(lon_0=\"0.01 deg\", lat_0=\"0.01 deg\")\n", "spectral_model = PowerLaw(\n", " index=2.2, amplitude=\"3e-12 cm-2 s-1 TeV-1\", reference=\"1 TeV\"\n", ")\n", "model = SkyModel(spatial_model=spatial_model, spectral_model=spectral_model)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we set up the `MapFit` object by passing the prepared maps, IRFs as well as the model:" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [], "source": [ "fit = MapFit(\n", " model=model,\n", " counts=cmaps[\"counts\"],\n", " exposure=cmaps[\"exposure\"],\n", " background=cmaps[\"background\"],\n", " mask=mask,\n", " psf=psf_kernel,\n", " edisp=edisp,\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "No we run the model fit:" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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EDM = 6.6607644463314345e-06GOAL EDM = 1e-05\n", " UP = 1.0
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ValidValid ParamAccurate CovarPosDefMade PosDef
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+NameValueHesse ErrorMinos Error-Minos Error+Limit-Limit+Fixed?
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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 10.6 s, sys: 46.5 ms, total: 10.7 s\n", "Wall time: 2.67 s\n" ] } ], "source": [ "%%time\n", "result = fit.run(optimize_opts={\"print_level\": 1})" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SkyModel\n", "\n", "Parameters: \n", "\n", "\t name value error unit min max frozen\n", "\t--------- ---------- --------- -------------- --- --- ------\n", "\t lon_0 -4.763e-02 2.101e-03 deg nan nan False\n", "\t lat_0 -4.837e-02 2.075e-03 deg nan nan False\n", "\t index 2.405e+00 5.897e-02 nan nan False\n", "\tamplitude 2.827e-12 1.515e-13 cm-2 s-1 TeV-1 nan nan False\n", "\treference 1.000e+00 0.000e+00 TeV nan nan True\n", "\n", "Covariance: \n", "\n", "\t name lon_0 lat_0 index amplitude reference\n", "\t--------- ---------- --------- ---------- ---------- ---------\n", "\t lon_0 4.413e-06 1.103e-07 -2.664e-06 1.886e-17 0.000e+00\n", "\t lat_0 1.103e-07 4.306e-06 8.451e-07 1.075e-17 0.000e+00\n", "\t index -2.664e-06 8.451e-07 3.478e-03 -3.293e-16 0.000e+00\n", "\tamplitude 1.886e-17 1.075e-17 -3.293e-16 2.294e-26 0.000e+00\n", "\treference 0.000e+00 0.000e+00 0.000e+00 0.000e+00 0.000e+00\n" ] } ], "source": [ "print(result.model)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Check model fit\n", "\n", "We check the model fit by computing a residual image. For this we first get the number of predicted counts from the fit evaluator:" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [], "source": [ "npred = fit.evaluator.compute_npred()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And compute a residual image:" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [], "source": [ "residual = cmaps[\"counts\"] - npred" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "residual.sum_over_axes().smooth(width=0.05 * u.deg).plot(\n", " cmap=\"coolwarm\", vmin=-3, vmax=3, add_cbar=True\n", ");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also plot the best fit spectrum:" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "spec = result.model.spectral_model\n", "energy_range = [0.3, 10] * u.TeV\n", "spec.plot(energy_range=energy_range, energy_power=2)\n", "ax = spec.plot_error(energy_range=energy_range, energy_power=2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Apparently our model should be improved by adding a component for diffuse Galactic emission and at least one second point\n", "source. Let's improve it!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Add Galactic diffuse emission to model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use both models at the same time, our diffuse model (the same from the Fermi file used before) and our model for the central source. This time, in order to make it more realistic, we will consider an exponential cut off power law spectral model for the source (note that we are not constraining the fit with any mask this time)." ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [], "source": [ "diffuse_model = SkyDiffuseCube.read(\n", " \"$GAMMAPY_DATA/fermi_3fhl/gll_iem_v06_cutout.fits\"\n", ")" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [], "source": [ "spatial_model = SkyPointSource(lon_0=\"0.01 deg\", lat_0=\"0.01 deg\")\n", "spectral_model = ExponentialCutoffPowerLaw(\n", " index=2 * u.Unit(\"\"),\n", " amplitude=1e-12 * u.Unit(\"cm-2 s-1 TeV-1\"),\n", " reference=1.0 * u.TeV,\n", " lambda_=1 / u.TeV,\n", ")\n", "model = SkyModel(spatial_model=spatial_model, spectral_model=spectral_model)" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [], "source": [ "combined_fit = MapFit(\n", " model=diffuse_model + model,\n", " counts=cmaps[\"counts\"],\n", " exposure=cmaps[\"exposure\"],\n", " background=cmaps[\"background\"],\n", " psf=psf_kernel,\n", ")" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 59.5 s, sys: 1.57 s, total: 1min 1s\n", "Wall time: 15.3 s\n" ] } ], "source": [ "%%time\n", "result_combined = combined_fit.run()" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CompoundSkyModel\n", " Component 1 : SkyDiffuseCube\n", "\n", "Parameters: \n", "\n", "\tname value error unit min max frozen\n", "\t---- --------- ----- ---- --- --- ------\n", "\tnorm 1.435e+00 nan nan nan False\n", " Component 2 : SkyModel\n", "\n", "Parameters: \n", "\n", "\t name value error unit min max frozen\n", "\t--------- ---------- ----- -------------- --- --- ------\n", "\t lon_0 -4.797e-02 nan deg nan nan False\n", "\t lat_0 -4.858e-02 nan deg nan nan False\n", "\t index 2.129e+00 nan nan nan False\n", "\tamplitude 2.850e-12 nan cm-2 s-1 TeV-1 nan nan False\n", "\treference 1.000e+00 nan TeV nan nan True\n", "\t lambda_ 7.489e-02 nan TeV-1 nan nan False\n", " Operator : \n" ] } ], "source": [ "print(result_combined.model)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As we can see we have now two components in our model, and we can access them separately." ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Model 1 (SkyDiffuseCube): Parameters\n", "Parameter(name='norm', value=1.4351851377932912, factor=1.4351851377932912, scale=1.0, unit='', min=nan, max=nan, frozen=False)\n", "\n", "covariance: \n", "None\n", "Model 2 (SkyModel): Parameters\n", "Parameter(name='lon_0', value=-0.047969585929671404, factor=-4.79695859296714, scale=0.01, unit='deg', min=nan, max=nan, frozen=False)\n", "Parameter(name='lat_0', value=-0.048579168596462205, factor=-4.85791685964622, scale=0.01, unit='deg', min=nan, max=nan, frozen=False)\n", "Parameter(name='index', value=2.1286959580698794, factor=2.1286959580698794, scale=1.0, unit='', min=nan, max=nan, frozen=False)\n", "Parameter(name='amplitude', value=2.8501153345613852e-12, factor=2.8501153345613854, scale=1e-12, unit='cm-2 s-1 TeV-1', min=nan, max=nan, frozen=False)\n", "Parameter(name='reference', value=1.0, factor=1.0, scale=1.0, unit='TeV', min=nan, max=nan, frozen=True)\n", "Parameter(name='lambda_', value=0.07488864164827114, factor=0.07488864164827114, scale=1.0, unit='TeV-1', min=nan, max=nan, frozen=False)\n", "\n", "covariance: \n", "None\n" ] } ], "source": [ "# Checking normalization value (the closer to 1 the better)\n", "print(\"Model 1 (SkyDiffuseCube): \", result_combined.model.model1.parameters)\n", "print(\"Model 2 (SkyModel): \", result_combined.model.model2.parameters)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can now plot the residual image considering this improved model." ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [], "source": [ "residual2 = cmaps[\"counts\"] - combined_fit.evaluator.compute_npred()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Just as a comparison, we can plot our previous residual map (left) and the new one (right) with the same scale:" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(15, 5))\n", "ax_1 = plt.subplot(121, projection=residual.geom.wcs)\n", "ax_2 = plt.subplot(122, projection=residual.geom.wcs)\n", "\n", "ax_1.set_title(\"Without diffuse emission subtraction\")\n", "ax_2.set_title(\"With diffuse emission subtraction\")\n", "\n", "residual.sum_over_axes().smooth(width=0.05 * u.deg).plot(\n", " cmap=\"coolwarm\", vmin=-2, vmax=2, add_cbar=True, ax=ax_1\n", ")\n", "residual2.sum_over_axes().smooth(width=0.05 * u.deg).plot(\n", " cmap=\"coolwarm\", vmin=-2, vmax=2, add_cbar=True, ax=ax_2\n", ");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally we can check again our model (including now the diffuse emission):" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "spec2 = result_combined.model.model2.spectral_model\n", "ax = spec2.plot(energy_range=energy_range, energy_power=2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Results seems to be better (but not perfect yet). Next step to improve our model even more would be getting rid of the other bright source (G0.9+0.1)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that this notebook aims to show you the procedure of a 3D analysis using just a few observations and a cutted Fermi model. Results get much better for a more complete analysis considering the GPS dataset from the CTA First Data Challenge (DC-1) and also the CTA model for the Galactic diffuse emission, as shown in the next image:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "![](images/DC1_3d.png)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The complete tutorial notebook of this analysis is available to be downloaded in [GAMMAPY-EXTRA](https://github.com/gammapy/gammapy-extra) repository at https://github.com/gammapy/gammapy-extra/blob/master/analyses/cta_1dc_gc_3d.ipynb)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercises\n", "\n", "* Analyse the second source in the field of view: G0.9+0.1 and add it to the combined model." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.7.0" }, "nbsphinx": { "orphan": true } }, "nbformat": 4, "nbformat_minor": 2 }