{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "ceba690e-a867-4c94-a75f-a186f7e7ebee",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1100x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "##### 3. Monthly/seasonal fire frequency #####\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "from matplotlib import pyplot as plt\n",
    "\n",
    "\n",
    "custom_colors = ['#68A33E', '#A10702', '#FB9E60', '#FFFF82', '#0F0326']\n",
    "df_freq_mon = pd.read_csv(\"df_freq_mon.csv\")\n",
    "# plot monthly frequency of fire events\n",
    "counter_fig = 1\n",
    "mon_ticks = ['Jan','Feb','Mar','Apr','May','Jun','Jul','Aug','Sep','Oct','Nov','Dec']\n",
    "plt.figure(figsize=[11,5])\n",
    "sns.heatmap(df_freq_mon, cmap=custom_colors, linewidth=.2, linecolor=[.9,.9,.9])\n",
    "plt.yticks(np.arange(0.5,12.5), labels=mon_ticks, rotation=0, fontsize=12)\n",
    "plt.xticks(fontsize=12);\n",
    "plt.xlabel('')\n",
    "plt.ylabel('Month', fontsize=13)\n",
    "plt.title(f'Fig {counter_fig}. Number of fire events in Oregon', fontsize=13)\n",
    "plt.tight_layout()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "e6460445-fe0a-44a9-95de-4cc739a00b94",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.10.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}