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@avances123
Last active April 12, 2020 17:54
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{
"cells": [
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1296x1080 with 4 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"import pandas as pd\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from scipy import optimize\n",
"from datetime import datetime\n",
"from matplotlib.offsetbox import AnchoredText\n",
"\n",
"%matplotlib inline\n",
"plt.rcParams['figure.figsize'] = [18, 15]\n",
"fig, ((ax1, ax2),(ax3, ax4)) = plt.subplots(nrows=2, ncols=2, sharex=True, sharey=True)\n",
"fig.suptitle('Ajuste de fallecidos acumulados a la funcion logistica', fontsize=19)\n",
"plt.figtext(0.5, 0.05, \"Cada grafica es el ajuste empezando en un dia candidato a \\\"pico de la enfermedad\\\"\", \n",
" wrap=True, horizontalalignment='center', fontsize=14, fontstyle='italic')\n",
"\n",
"# DAtos\n",
"periodos = 150\n",
"pais = 'Spain'\n",
"metadatos = {\n",
" '2020-03-30':ax1,\n",
" '2020-03-31':ax2,\n",
" '2020-04-01':ax3,\n",
" '2020-04-02':ax4\n",
"}\n",
"\n",
"\n",
"# Funcion a optimizar \n",
"def sigmoid(x, L ,x0, k, b):\n",
" y = L / (1 + np.exp(-k*(x-x0)))+b\n",
" return (y)\n",
"\n",
"\n",
"def leer_df(fecha):\n",
" df = pd.read_csv('/home/fabio/repos/COVID-19/csse_covid_19_data/csse_covid_19_time_series/time_series_covid19_deaths_global.csv')\n",
" df = df.loc[df['Country/Region'].isin([pais])]\n",
" df = df[~df['Province/State'].notna()]\n",
" df = df.drop(['Lat','Long','Province/State', 'Country/Region'], axis=1)\n",
" df = df.T.reset_index()\n",
" df.columns = ['fecha', 'muertes']\n",
" df['fecha'] = pd.to_datetime(df['fecha'])\n",
" df = df[ df['fecha'] > fecha]\n",
" X = df.index.to_numpy()\n",
" y = df['muertes'].to_numpy()\n",
" return X,y\n",
"\n",
"for fecha in metadatos.keys():\n",
" xdata, ydata = leer_df(fecha)\n",
"\n",
" # Curva de hoy\n",
" p0 = [max(ydata), np.median(xdata),1,min(ydata)] # this is an mandatory initial gues\n",
" popt, pcov = optimize.curve_fit(sigmoid,xdata,ydata,p0,maxfev=15000)\n",
" xfit = np.arange(xdata[0], periodos)\n",
" yfit = sigmoid(xfit, *popt)\n",
" x_axis_fit = pd.date_range(start=fecha, periods=periodos - xdata[0])\n",
" metadatos[fecha].plot(x_axis_fit,yfit,'c-',label='curva ajustada')\n",
"\n",
"\n",
" # Puntos naranjas\n",
" x_axis_data = pd.date_range(start=fecha, periods=len(ydata))\n",
" metadatos[fecha].plot(x_axis_data,ydata, 'ro', label='muertes acumuladas')\n",
"\n",
"\n",
" # Asintota\n",
" asintota = sigmoid(100000, *popt)\n",
" metadatos[fecha].axhline(asintota, color='g')\n",
" at = AnchoredText(\"Asintota: \" + str(round(asintota)),\n",
" prop=dict(size=12), frameon=True,\n",
" loc='upper left',\n",
" )\n",
" at.patch.set_boxstyle(\"round,pad=0.,rounding_size=0.2\")\n",
" metadatos[fecha].add_artist(at)\n",
"\n",
" # Titulos\n",
" metadatos[fecha].set_title(fecha)\n",
" metadatos[fecha].set_ylabel('Muertes acumuladas')\n",
"\n",
"\n",
"\n",
" \n",
" "
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
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"display_name": "Python 3",
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