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@lumbric
Created December 6, 2020 21:24
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Forecast of Covid-19 cases in Austria (2020-12-06)
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Forecast of Covid-19 cases in Austria\n",
"\n",
"Assumes as worst case scenario that growth rate of Covid-19 cases during Christmas and New Years Eve is similar to the pre-lockdown growth rate, but cases decline for another 2 weeks due to the delay between infection and testing."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import pandas as pd\n",
"\n",
"import matplotlib\n",
"import matplotlib.pyplot as plt\n",
"\n",
"from scipy.ndimage import median_filter\n",
"from scipy.ndimage import gaussian_filter"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"matplotlib.rc('figure', figsize=(15, 10))"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"from pandas.plotting import register_matplotlib_converters\n",
"register_matplotlib_converters()"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"rm -rf data"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"#mv data garbage/data-$(date --iso)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"mkdir data"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"--2020-12-06 22:22:52-- https://covid19-dashboard.ages.at/data/data.zip\n",
"Resolving covid19-dashboard.ages.at (covid19-dashboard.ages.at)... 2a00:1610:0:50::1bb:4a, 194.48.237.240\n",
"Connecting to covid19-dashboard.ages.at (covid19-dashboard.ages.at)|2a00:1610:0:50::1bb:4a|:443... connected.\n",
"HTTP request sent, awaiting response... 200 OK\n",
"Length: 409993 (400K) [application/zip]\n",
"Saving to: ‘data.zip’\n",
"\n",
"data.zip 100%[===================>] 400,38K 2,10MB/s in 0,2s \n",
"\n",
"2020-12-06 22:22:52 (2,10 MB/s) - ‘data.zip’ saved [409993/409993]\n",
"\n"
]
}
],
"source": [
"!cd data && wget --cipher 'DEFAULT:!DH' https://covid19-dashboard.ages.at/data/data.zip"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Archive: data.zip\r\n",
" inflating: CovidFaelleDelta.csv \r\n",
" inflating: CovidFaelle_Altersgruppe.csv \r\n",
" inflating: CovidFaelle_GKZ.csv \r\n",
" inflating: CovidFaelle_Timeline.csv \r\n",
" inflating: CovidFaelle_Timeline_GKZ.csv \r\n",
" inflating: CovidFallzahlen.csv \r\n",
" inflating: Version.csv \r\n"
]
}
],
"source": [
"!cd data && unzip data.zip"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"data = pd.read_csv(\"data/CovidFaelle_Timeline.csv\", delimiter=';', parse_dates=['Time'], dayfirst=True)\n",
"\n",
"oesterreich = data[data['Bundesland'] == 'Österreich']\n",
"\n",
"oesterreich = oesterreich.set_index('Time')\n",
"oesterreich = oesterreich.sort_index()"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
"filter_sigma = 4"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [],
"source": [
"cases = oesterreich.AnzahlFaelle\n",
"cases_time = oesterreich.index\n",
"cases_filtered = gaussian_filter(oesterreich.AnzahlFaelle, filter_sigma)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
"growth_rate = (cases_filtered[1:]/cases_filtered[:-1])\n",
"\n",
"# need to crop, because filtering leads to misleading values\n",
"growth_rate = growth_rate[:-3 * filter_sigma]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's assume cases decline for 2 more weeks with decline rate of 96% and then raise again with the pre-lockdown growth rate of 109%:"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [],
"source": [
"end_of_lockdown_cases = 3000\n",
"decline_rate = 0.96\n",
"raise_rate = 1.12"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [],
"source": [
"decline_time = pd.date_range('2020-12-06', periods=14, freq='d')\n",
"decline = end_of_lockdown_cases * decline_rate ** np.arange(len(decline_time))"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [],
"source": [
"raise_time = pd.date_range(decline_time[-1], periods=20, freq='d')\n",
"raise_ = decline[-1] * raise_rate ** np.arange(len(raise_time))"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 1080x720 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, ax1 = plt.subplots()\n",
"\n",
"ax1.plot(cases_time, cases, 'g--', label='Positive tested cases', alpha=0.3)\n",
"ax1.plot(cases_time, cases_filtered, 'g-', label='Positive tested cases (Gaussian filter, sigma=3)')\n",
"\n",
"plt.plot(decline_time, decline, label='exponential decline forecast daily by -4%')\n",
"plt.plot(raise_time, raise_, label='exponential forecast with daily growth 9%')\n",
"\n",
"#plt.yscale('log')\n",
"\n",
"plt.ylabel('Positive tested cases')\n",
"plt.xlim('2020-10-01', '2021-01-31');\n",
"\n",
"plt.axvline('2020-11-03', label='light lockdown', color='k')\n",
"plt.axvline('2020-11-17', label='hard lockdown', color='grey')\n",
"\n",
"plt.legend(loc=2);\n",
"\n",
"ax2 = plt.gca().twinx()\n",
"\n",
"ax2.plot(cases_time[:len(growth_rate)], 100 * growth_rate,\n",
" 'r-', label='daily growth rate')\n",
"ax2.axhline(100, color='r', linestyle=':')\n",
"plt.ylim(94, 112)\n",
"plt.legend(loc=1);\n",
"plt.ylabel('Growth rate [%]')\n",
"\n",
"plt.title('Austrian Covid-19 cases\\n'\n",
" 'assuming that cases decline for another 2 weeks with current decline rate and '\n",
" 'then grow with pre-lockdown growth rate');"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<Figure size 1080x720 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.savefig('exponential_forcecast.png')"
]
}
],
"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": "3.8.5"
}
},
"nbformat": 4,
"nbformat_minor": 4
}
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