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Corona_active_infections.ipynb
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"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/dennisheitmann/97071615fc185ab22d5115ac0c66491b/corona_active_infections.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "code",
"metadata": {
"id": "lzSEI-jfrqga",
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"source": [
"# MIT License\n",
"# \n",
"# Copyright (c) 2020-2022 Dennis Heitmann\n",
"# \n",
"# Permission is hereby granted, free of charge, to any person obtaining a copy\n",
"# of this software and associated documentation files (the \"Software\"), to deal\n",
"# in the Software without restriction, including without limitation the rights\n",
"# to use, copy, modify, merge, publish, distribute, sublicense, and/or sell\n",
"# copies of the Software, and to permit persons to whom the Software is\n",
"# furnished to do so, subject to the following conditions:\n",
"# \n",
"# The above copyright notice and this permission notice shall be included in all\n",
"# copies or substantial portions of the Software.\n",
"# \n",
"# THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n",
"# IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n",
"# FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE\n",
"# AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n",
"# LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,\n",
"# OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE\n",
"# SOFTWARE.\n",
"\n",
"#@title Notebook Config\n",
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"import matplotlib.dates as mdates\n",
"import matplotlib.artist as martist\n",
"plt.style.use('seaborn-paper')\n",
"params = {'legend.fontsize': 'medium',\n",
" 'figure.figsize': (9, 5),\n",
" 'axes.labelsize': 'medium',\n",
" 'axes.titlesize': 'medium',\n",
" 'xtick.labelsize': 'medium',\n",
" 'ytick.labelsize': 'medium',}\n",
"plt.rcParams.update(params)\n",
"plt.rcParams['figure.dpi'] = 100\n",
"plt.rcParams['savefig.dpi'] = 100\n",
"\n",
"c = %config InlineBackend.rc\n",
"c['figure.figsize'] = (9, 5)\n",
"c['figure.dpi'] = 100\n",
"\n",
"# Import needed libraries\n",
"import pandas as pd\n",
"import numpy as np\n",
"import datetime as dt\n",
"import math\n",
"import scipy\n",
"from scipy import optimize"
],
"execution_count": 1,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "Kmo2YvDFfnar",
"cellView": "form"
},
"source": [
"#@title Read Input Data from CSSE at Johns Hopkins University (GitHub)\n",
"# Read aggregated data from https://github.com/CSSEGISandData (CSSE at Johns Hopkins University)\n",
"confirmed = 'https://raw.githubusercontent.com/CSSEGISandData/COVID-19/master/csse_covid_19_data/csse_covid_19_time_series/time_series_covid19_confirmed_global.csv'\n",
"recovered = 'https://raw.githubusercontent.com/CSSEGISandData/COVID-19/master/csse_covid_19_data/csse_covid_19_time_series/time_series_covid19_recovered_global.csv'\n",
"df_c = pd.read_csv(confirmed).drop('Lat', axis='columns').drop('Long', axis='columns').drop('Province/State', axis='columns')\n",
"df_r = pd.read_csv(recovered).drop('Lat', axis='columns').drop('Long', axis='columns').drop('Province/State', axis='columns')\n",
"df_c = df_c.groupby('Country/Region').sum().transpose()\n",
"df_r = df_r.groupby('Country/Region').sum().transpose()\n",
"df = df_c.subtract(df_r)"
],
"execution_count": 2,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "BoJUqGxPqAGk",
"cellView": "form",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 488
},
"outputId": "842db51b-938c-4225-982e-a563a19f3cc1"
},
"source": [
"#@title Combined Plot of selected Countries\n",
"def show_combined_graph(w_values):\n",
" import matplotlib.ticker as ticker\n",
" from pandas.plotting import register_matplotlib_converters\n",
" register_matplotlib_converters()\n",
" fig, ax = plt.subplots()\n",
" colors = ['b', 'g', 'r', 'k', 'm', 'y', 'c', 'grey']\n",
" n = 0\n",
" for w_value in w_values:\n",
" # Calculation and Plotting\n",
" # Select country, transpose table, drop unneeded columns\n",
" df_de = df[[w_value]].copy()\n",
" # Detect datetime from index\n",
" df_de.index = pd.to_datetime(df_de.index)\n",
" # Calculate daily differences\n",
" df_de['Differences (daily)'] = df_de.diff()\n",
" # Delete empty rows (less than 100 infections)\n",
" df_de = df_de.loc[df_de[w_value] > 99]\n",
"\n",
" # Plot values, fit and daily diffs with linear y axis\n",
" label_str = w_value + ' ' + str(int(df_de.iloc[-1][w_value]))\n",
" plt.plot(df_de.index, w_value, data=df_de, color=colors[n], marker='.', label=label_str)\n",
" ax.xaxis.set_major_locator(ticker.AutoLocator())\n",
" ax.xaxis.set_minor_locator(ticker.IndexLocator(1,1))\n",
" formatter = mdates.DateFormatter(\"%Y-%m-%d\")\n",
" ax.xaxis.set_major_formatter(formatter)\n",
" plt.xticks(rotation=25)\n",
" plt.yscale('linear')\n",
" plt.legend()\n",
" ax.set_ylabel('active infections')\n",
" \n",
" n = n + 1\n",
" \n",
" plt.show()\n",
"\n",
"# Initial display of stats for selected countries\n",
"#show_combined_graph(['US', 'United Kingdom', 'Russia',])\n",
"show_combined_graph(['Spain', 'Italy', 'Germany', 'Poland', 'Czechia', 'Switzerland', 'Austria',])"
],
"execution_count": 3,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 900x500 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "4Gqzd7h4fnaw",
"cellView": "form",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 1000,
"referenced_widgets": [
"61ddf2e7c2954b7981358d9b06719a8d",
"b69ceb17ed254960b2f6983d7f55e64b",
"e39b1012df144cdeb8a5367396a1a423"
]
},
"outputId": "c5221f6a-de17-4a0f-f194-cd0b2d0c15b2"
},
"source": [
"#@title Select Country for Detailled Plot\n",
"def show_data_and_graphs(w_value):\n",
"\n",
" # Clear old output of cell before displaying of new plots\n",
" from IPython.display import clear_output\n",
" clear_output(wait=True)\n",
" \n",
" # Create dropdown field for country selection\n",
" display(w)\n",
" \n",
" # Calculation and Plotting\n",
" # Select country, transpose table, drop unneeded columns\n",
" df_de = df[[w_value]].copy()\n",
" # Detect datetime from index\n",
" df_de.index = pd.to_datetime(df_de.index)\n",
" # Calculate daily differences\n",
" df_de['Differences (daily)'] = df_de.diff()\n",
" # Delete empty rows (less than 100 infections)\n",
" df_de = df_de.loc[df_de[w_value] > 99]\n",
" # Delete first row (not needed due to filtering obove to 100+ cases)\n",
" # df_de = df_de[1:]\n",
" # Print infections and date of data \n",
" print('Last Listed Day: ' + str(df_de.index[-1]))\n",
" print('No. ' + str('active infections') + ': ' + str(df_de.iloc[-1][w_value]))\n",
"\n",
" # Plot values, fit and daily diffs with linear y axis\n",
" import matplotlib.ticker as ticker\n",
" from pandas.plotting import register_matplotlib_converters\n",
" register_matplotlib_converters()\n",
" fig, ax = plt.subplots()\n",
" label_str = w_value + ' ' + str(int(df_de.iloc[-1][w_value]))\n",
" plt.plot(df_de.index, w_value, data=df_de, color='red', marker='.', label=label_str)\n",
" ax.xaxis.set_major_locator(ticker.AutoLocator())\n",
" ax.xaxis.set_minor_locator(ticker.IndexLocator(1,1))\n",
" formatter = mdates.DateFormatter(\"%Y-%m-%d\")\n",
" ax.xaxis.set_major_formatter(formatter)\n",
" plt.xticks(rotation=25)\n",
" plt.yscale('linear')\n",
" #plt.legend()\n",
" ax.legend(loc='upper left')\n",
" ax.set_ylabel('active infections')\n",
" plt.show()\n",
"\n",
" # Plot values, fit and daily diffs with logarithmic y axis\n",
" fig, ax = plt.subplots()\n",
" plt.plot(df_de.index, w_value, data=df_de, color='red', marker='.', label=label_str)\n",
" import matplotlib.ticker as ticker\n",
" ax.xaxis.set_major_locator(ticker.AutoLocator())\n",
" ax.xaxis.set_minor_locator(ticker.IndexLocator(1,1))\n",
" formatter = mdates.DateFormatter(\"%Y-%m-%d\")\n",
" ax.xaxis.set_major_formatter(formatter)\n",
" plt.xticks(rotation=25)\n",
" plt.yscale('log')\n",
" plt.legend()\n",
" ax.set_ylabel('active infections')\n",
" plt.show()\n",
"\n",
"# Create Dropdown widget for country selection\n",
"import ipywidgets as widgets\n",
"w = widgets.Dropdown(\n",
" options=df.columns.unique(),\n",
" value='Germany',\n",
" description='Country:',\n",
" disabled=False,\n",
")\n",
"# Create dropdown field for country selection\n",
"#display(w)\n",
"\n",
"# Create event handler on change of dropdown selection\n",
"def w_eventhandler(change):\n",
" show_data_and_graphs(w.value)\n",
"# Start event handler\n",
"w.observe(w_eventhandler, type='change', names='value')\n",
"\n",
"# Initial display of stats for Germany\n",
"show_data_and_graphs('Germany')"
],
"execution_count": 4,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"Dropdown(description='Country:', index=67, options=('Afghanistan', 'Albania', 'Algeria', 'Andorra', 'Angola', …"
],
"application/vnd.jupyter.widget-view+json": {
"version_major": 2,
"version_minor": 0,
"model_id": "61ddf2e7c2954b7981358d9b06719a8d"
}
},
"metadata": {}
},
{
"output_type": "stream",
"name": "stdout",
"text": [
"Last Listed Day: 2022-04-01 00:00:00\n",
"No. active infections: 21394691.0\n"
]
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 900x500 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {
"needs_background": "light"
}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 900x500 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {
"needs_background": "light"
}
}
]
}
]
}
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