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@yuji96
Last active January 19, 2022 11:50
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厚労省のオープンデータから covid-19 の実効再生産数を求める
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "ukaJ8lCjIMnu"
},
"source": [
"# 厚労省のオープンデータから実効再生産数を求める\n",
"\n",
"専門家ではないので、実効再生産数と基本再生産数を混同しているかもしれません。"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "naxHF9plIMn6"
},
"source": [
"## 必要なライブラリとその設定"
]
},
{
"cell_type": "code",
"source": [
"!pip install japanize-matplotlib -q"
],
"metadata": {
"id": "ToUlwC3QIbhd"
},
"execution_count": 1,
"outputs": []
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"id": "V0dCo3DWIMn7"
},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\n",
"import pandas as pd\n",
"import seaborn as sns\n",
"import japanize_matplotlib\n",
"\n",
"plt.rcParams[\"figure.facecolor\"] = \"white\"\n",
"plt.rcParams[\"axes.facecolor\"] = \"white\""
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "0jTiF0jjIMn-"
},
"source": [
"## データの準備"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "HqN1JeQkIMn-"
},
"source": [
"### 厚労省のオープンデータをダウンロード\n",
"\n",
"source: https://www.mhlw.go.jp/stf/covid-19/open-data.html\n",
"\n",
"2020 年 5 月 9 日から URL が変更されたため、`old` と `new` がある。"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"id": "Mty2fxZ_IMn_"
},
"outputs": [],
"source": [
"cases_total_old = pd.read_csv(\"https://www.mhlw.go.jp/content/cases_total.csv\", index_col=0, parse_dates=True, squeeze=True)\n",
"recovery_total_old = pd.read_csv(\"https://www.mhlw.go.jp/content/recovery_total.csv\", index_col=0, parse_dates=True, squeeze=True)\n",
"death_total_old = pd.read_csv(\"https://www.mhlw.go.jp/content/death_total.csv\", index_col=0, parse_dates=True, squeeze=True)\n",
"\n",
"cases_recovery_total_new = pd.read_csv(\"https://covid19.mhlw.go.jp/public/opendata/requiring_inpatient_care_etc_daily.csv\", index_col=0, parse_dates=True)\n",
"death_total_new = pd.read_csv(\"https://covid19.mhlw.go.jp/public/opendata/deaths_cumulative_daily.csv\", index_col=0, parse_dates=True)\n",
"cases_total_new = cases_recovery_total_new.iloc[:, 0]\n",
"recovery_total_new = cases_recovery_total_new.iloc[:, 1]\n",
"death_total_new = death_total_new.iloc[:, 0]\n",
"\n",
"newly = pd.read_csv(\"https://covid19.mhlw.go.jp/public/opendata/newly_confirmed_cases_daily.csv\", index_col=0, parse_dates=True).iloc[:, 0]"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "XkSxnm_AIMoA"
},
"source": [
"### データを結合"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"id": "bF2uh_CRIMoB"
},
"outputs": [],
"source": [
"def fillna(left, right):\n",
" merged = pd.merge(left, right, left_index=True, right_index=True, how=\"outer\")\n",
" series = pd.Series(left, index=merged.index)\n",
" to_fill_index = series.index[series.isna()]\n",
" series[to_fill_index] = right[to_fill_index]\n",
" return series\n",
"\n",
"\n",
"cases_total = fillna(cases_total_old, cases_total_new)\n",
"death_total = fillna(death_total_old, death_total_new)\n",
"recovery_total = fillna(recovery_total_old, recovery_total_new)"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "dbPjJ4BrIMoD"
},
"source": [
"### SIR モデルの定義通りにデータを変換"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"id": "S_xiJt5UIMoF"
},
"outputs": [],
"source": [
"TOTAL = int(1.26e+8)\n",
"infected = cases_total\n",
"removed = recovery_total + death_total\n",
"susceptible = TOTAL - infected - removed\n",
"\n",
"df = pd.concat([susceptible, infected, removed],\n",
" axis=\"columns\", join=\"outer\",\n",
" keys=[\"susceptible\", \"infected\", \"removed\"])\n",
"df.dropna(inplace=True)"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "Pe5lLzByIMoG"
},
"source": [
"## 実効再生産数を計算"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "8A7Zs8FJIMoG"
},
"source": [
"### 関数を定義"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"id": "ZjcLhhOzIMoH"
},
"outputs": [],
"source": [
"def calc_reproduction(df: pd.DataFrame) -> pd.DataFrame:\n",
" susceptible = df[\"susceptible\"]\n",
" infected = df[\"infected\"]\n",
" removed = df[\"removed\"]\n",
"\n",
" total = df.sum(axis=\"columns\")\n",
" beta = (susceptible - susceptible.shift(1)) / (susceptible * infected)\n",
" gamma = (removed.shift(1) - removed) / infected\n",
" return total * beta / gamma"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "CTI5TUJWIMoH"
},
"source": [
"### 計算を実行"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"id": "LzMBF4omIMoI"
},
"outputs": [],
"source": [
"start_date, *_, end_date = df.index\n",
"reproduction = calc_reproduction(df)\n",
"mean = reproduction.rolling(30, center=True).mean()"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "GN_n8rjtIMoI"
},
"source": [
"## 可視化"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"id": "2IgGNizgIMoJ",
"outputId": "3f778797-517d-483d-bfa9-001d447c0f67",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 369
}
},
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x360 with 2 Axes>"
]
},
"metadata": {}
}
],
"source": [
"fig, ax1 = plt.subplots(1, 1, figsize=(10, 5))\n",
"\n",
"sns.scatterplot(data=reproduction, ax=ax1,\n",
" label=\"観測値\", s=15)\n",
"sns.lineplot(data=mean, ax=ax1,\n",
" label=\"30日の移動平均\", color=\"red\", linewidth=2)\n",
"ax1.hlines(y=1, xmin=start_date, xmax=end_date,\n",
" linewidth=2, color=\"green\")\n",
"ax1.grid(True)\n",
"ax1.set(xlabel=\"日付\", ylabel=\"実効再生産数\", ylim=[-1, 6])\n",
"ax1.legend(loc=\"upper left\")\n",
"\n",
"ax2 = ax1.twinx()\n",
"sns.lineplot(data=newly.rolling(7, center=True).mean(), ax=ax2,\n",
" label=\"新規感染者数\", color=\"purple\")\n",
"ax2.set(ylabel=\"新規感染者数\", ylim=[-4000, 24000], yticks=range(0, 24000+1, 4000))\n",
"ax2.legend(loc=\"upper right\")\n",
"\n",
"plt.tight_layout()"
]
},
{
"cell_type": "code",
"source": [
""
],
"metadata": {
"id": "tTTY-3tqIi5i"
},
"execution_count": 8,
"outputs": []
}
],
"metadata": {
"interpreter": {
"hash": "0b7e14fad5a70709aaf245a86d5a0df2914e42aaab8b40009583798c9502b915"
},
"kernelspec": {
"display_name": "Python 3.8.0 64-bit ('3.8.0': pyenv)",
"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": "3.8.0"
},
"orig_nbformat": 4,
"colab": {
"name": "reproduction.ipynb",
"provenance": []
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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yuji96 commented Jan 19, 2022

Open In Colab

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