{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "8c98fe0f-9a7f-428c-ba12-e52d674bc631",
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": []
   },
   "source": [
    "# Cookbook: Precipitation return times for Hurricane Harvey"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "89b59e17-3606-4e37-b1c0-3079674dce7f",
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy import stats\n",
    "import pandas as pd\n",
    "# These are some parameters to make figures nice (and big)\n",
    "\n",
    "plt.rcParams['figure.figsize'] = 16,8\n",
    "params = {'legend.fontsize': 'x-large',\n",
    "          'figure.figsize': (15, 5),\n",
    "          'axes.labelsize': 'x-large',\n",
    "         'axes.titlesize':'x-large',\n",
    "         'xtick.labelsize':'x-large',\n",
    "         'ytick.labelsize':'x-large'}\n",
    "plt.rcParams.update(params)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8f0282ee-59fe-472f-9f42-93ebecbe0fd8",
   "metadata": {},
   "source": [
    "# Houston precipitation\n",
    "In the wake of Hurricane Harvey, many have described the assocaited flooding as a \"500-year event\". How can this be, given that in most places there are only a few decades of data available? In this exercise we apply a simple (and most likely wrong) methodology to estimate _return periods_, and comment on the wisdom of that concept.\n",
    "\n",
    "Let's load and get to know the data. We are looking at daily precip data (in cm) at Beaumont Research Center and Port Arthur, two of the weather stations in the Houston area that reported very high daily precip totals. \n",
    "\n",
    "The data comes from NOAA GHCN:<br>\n",
    "https://www.ncdc.noaa.gov/cdo-web/datasets/GHCND/stations/GHCND:USC00410613/detail<br>\n",
    "https://www.ncdc.noaa.gov/cdo-web/datasets/GHCND/stations/GHCND:USW00012917/detail\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "ca82f947-5e6b-409c-b77e-44feb6c4fbb9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>STATION</th>\n",
       "      <th>NAME</th>\n",
       "      <th>DATE</th>\n",
       "      <th>DAPR</th>\n",
       "      <th>MDPR</th>\n",
       "      <th>PRCP</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>USC00410613</td>\n",
       "      <td>BEAUMONT RESRCH CTR, TX US</td>\n",
       "      <td>1947-09-01</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>USC00410613</td>\n",
       "      <td>BEAUMONT RESRCH CTR, TX US</td>\n",
       "      <td>1947-09-02</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>USC00410613</td>\n",
       "      <td>BEAUMONT RESRCH CTR, TX US</td>\n",
       "      <td>1947-09-03</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>USC00410613</td>\n",
       "      <td>BEAUMONT RESRCH CTR, TX US</td>\n",
       "      <td>1947-09-04</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>USC00410613</td>\n",
       "      <td>BEAUMONT RESRCH CTR, TX US</td>\n",
       "      <td>1947-09-05</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       STATION                        NAME        DATE  DAPR  MDPR  PRCP\n",
       "0  USC00410613  BEAUMONT RESRCH CTR, TX US  1947-09-01   NaN   NaN   NaN\n",
       "1  USC00410613  BEAUMONT RESRCH CTR, TX US  1947-09-02   NaN   NaN   NaN\n",
       "2  USC00410613  BEAUMONT RESRCH CTR, TX US  1947-09-03   NaN   NaN   NaN\n",
       "3  USC00410613  BEAUMONT RESRCH CTR, TX US  1947-09-04   NaN   NaN   NaN\n",
       "4  USC00410613  BEAUMONT RESRCH CTR, TX US  1947-09-05   NaN   NaN   NaN"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# read data and take a cursory look\n",
    "df=pd.read_csv('https://raw.githubusercontent.com/cdds-uiuc/simles-book/main/content/Module02/data/Beaumont_precip.csv')\n",
    "\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "2b79fb5b-1367-4017-a54b-54aa9f49d060",
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": [
     "hide-input"
    ]
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 1500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot raw precipitation\n",
    "precip_raw=df['PRCP'].values\n",
    "precip_raw=precip_raw[np.isnan(precip_raw)==False] # take out nans\n",
    "\n",
    "fig,ax=plt.subplots(1,1)\n",
    "ax.plot(precip_raw)\n",
    "ax.set_xlabel('day since beginning of record')\n",
    "ax.set_ylabel('Daily Precip (cm)');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "23cbf1b5-5bf3-415e-bdb1-9b7b51493bc9",
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1500x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot the histogram of the data. \n",
    "# For distributions such as a gamma distribution it makes sense to use a logarithmic axis.\n",
    "#define bin edges and bin widths. \n",
    "# we'll use the maximum value in the data to define the upper limit\n",
    "\n",
    "bin_edge_low=0\n",
    "bin_edge_high=np.round(np.max(precip_raw)+1);\n",
    "bin_width=0.25\n",
    "bin_edges=np.arange(bin_edge_low,bin_edge_high,bin_width)\n",
    "\n",
    "fig,ax=plt.subplots(1,2)\n",
    "ax[0].hist(precip_raw,bin_edges,rwidth=0.9);\n",
    "ax[0].set_xlabel('daily precip (cm)')\n",
    "ax[0].set_ylabel('count (number of days)')\n",
    "ax[0].grid()\n",
    "\n",
    "ax[1].hist(precip_raw,bin_edges,rwidth=0.9)\n",
    "ax[1].set_yscale('log')\n",
    "ax[1].grid()\n",
    "ax[1].set_xlabel('daily precip (cm)')\n",
    "ax[1].set_ylabel('count (number of days)');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "18f7cd41-4dce-4c45-9b96-c1d814734459",
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1500x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# the jump in the first bin indicates a probability mass at 0  ( a large number of days do not see any precipitation). \n",
    "# Let's only look at days when it rains. While we're at it, let's clean NaNs as well.\n",
    "precip=precip_raw[precip_raw>0.01]\n",
    "\n",
    "# Plot the histogram of the data\n",
    "fig,ax=plt.subplots(1,2)\n",
    "ax[0].hist(precip,bin_edges,rwidth=0.9);\n",
    "ax[0].set_xlabel('daily precip (cm)')\n",
    "ax[0].set_ylabel('count (number of days)')\n",
    "ax[0].grid()\n",
    "ax[0].set_xlabel('daily precip (cm)')\n",
    "ax[0].set_ylabel('count (number of days)')\n",
    "\n",
    "ax[1].hist(precip,bin_edges,rwidth=0.9)\n",
    "ax[1].set_yscale('log')\n",
    "ax[1].grid()\n",
    "ax[1].set_xlabel('daily precip (cm)')\n",
    "ax[1].set_ylabel('count (number of days)');\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "616180b5-aba9-4f1f-bf8b-a5b2ad75cacd",
   "metadata": {},
   "source": [
    "# Precipitation Return times\n",
    "What we want is to compute the return time of the rainiest day recorded at Beaumont Research Center (in years). \n",
    "\n",
    "What does this mean? The rainiest day at Beaumont brought $x$ cm. The return time represents how often we would expect to get $x$ cm or more of rain at Beaumont. To compute the return time we need to compute the probability of daily rain >$x$ cm, i.e. $P(\\text{daily rain}>x\\text{ cm})$. The inverse of this probability is the frequency of daily rain >$x$ cm. Let's give some examples:\n",
    "\n",
    "-  if the probability of daily rain > 3 cm is $P(\\text{daily rain}>3\\text{ cm})=1/30$, it means we would expect that it rains 3 cm or more once about every 30 day, and we would say 3 cm is a 30 day event. \n",
    "\n",
    "-  i the probability of daily rain > 50 cm is $P(\\text{daily rain}>50\\text{ cm})=1/36500$, it means we would expect that it rains 3 cm or more once about every 36500 days, or once every 100 years, and we would say 50 cm of rain is 100 year event.\n",
    "\n",
    "-  The return time is thus the inverse of the probabiltiy of exceedence. I.e. the return time for a rain event $>3$cm is $1/P(\\text{daily rain}>3\\text{ cm})=30$ days. Similarly, ther return time for a rain event $>50$ cm is $1/P(\\text{daily rain}>50\\text{ cm})=100$ years.   \n",
    "\n",
    "Remember that the probability of daily rain being *less* than $x$ cm is given by the cumulative distribution function (CDF): $P(\\text{daily rain}<x\\text{ cm})=F(x)$, so the probability of rain being *more* than x is given by $1-F(x)$, and thus the return time is:\n",
    "\n",
    "$$ R(x)=\\frac{1}{1-F(x)}$$\n",
    " \n",
    "So, all we have to do is fit a distribution to the data, and then use its CDF to compute return times. "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "946f4eeb-61c6-4ce9-9102-14c05155e794",
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": []
   },
   "source": [
    "# Return times via Gamma Distribution\n",
    "\n",
    "Precipitation is often modelled as a gamma distribution. The probability of observing a value $x_i$ given the three parameters of the gamma distribution: shape, scale, and location, $\\theta={\\alpha,\\beta,x_o}$ is \n",
    "\n",
    "$$ p(x_i|\\alpha,\\beta,x_{0})=\\frac{1}{\\Gamma(\\alpha)\\beta^{\\alpha}}\\left(x_{i}-x_{0}\\right)^{\\alpha-1}\\exp\\left(\\frac{-\\left(x-x_{0}\\right)}{\\beta}\\right) $$\n",
    "\n",
    "For N independent events, the log-likelihood is: \n",
    "\n",
    "$$ \\log\\mathcal{L}=\\sum_{i=1}^{N}\\left(-\\log\\Gamma(\\alpha)-\\alpha\\log\\beta+\\left(\\alpha-1\\right)\\log\\left(x_{i}-x_{o}\\right)-\\frac{\\left(x_{i}-x_{o}\\right)}{\\beta}\\right)$$\n",
    "\n",
    "The log-likelihood of the gamma distribution includes the Gamma function. Computing the derivatives of the log-likelihood and setting them to zero requires numerical estimation. In practice, we will rarely compute MLEs by hand. For example, to fit a gamma distribution, we will use the <code>stats.gamma.fit</code> method to obtain maximum likelihood estimates for the parameters. \n",
    "\n",
    "The method will output the three parameters of the gamma random variable, shape,scale, and location, denoted in scipy as <code>a,loc,scale</code>,  (see documentation <a href=\"https://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.gamma.html\"> here</a>). So you'll need to call it as <code>alpha_mle,loc_mle,scale_mle=stats.gama.fit( .... )</code>\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "f4d4907e-70d7-4cb1-abf6-43532f1b84ed",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.20740010390299995, 0.019999999999999997, 2.2682740851535863]\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1500x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "alpha_mle,loc_mle,scale_mle=stats.gamma.fit(precip,method='mle')\n",
    "print([alpha_mle,loc_mle,scale_mle])\n",
    "x_plot=np.linspace(0,np.max(precip),200)\n",
    "gamma_pdf=stats.gamma.pdf(x_plot,alpha_mle,loc_mle,scale_mle)\n",
    "\n",
    "\n",
    "# Plot the histogram of the data\n",
    "fig,ax=plt.subplots(1,2)\n",
    "ax[0].hist(precip,bin_edges,rwidth=0.9,density=True);\n",
    "ax[0].set_xlabel('daily precip (cm)')\n",
    "ax[0].set_ylabel('count (number of days)')\n",
    "\n",
    "ax[1].hist(precip,bin_edges,rwidth=0.9,density=True)\n",
    "ax[1].set_yscale('log')\n",
    "\n",
    "ax[0].plot(x_plot,gamma_pdf);\n",
    "ax[1].plot(x_plot,gamma_pdf);\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "67300969-3313-4582-b655-6daf8810771d",
   "metadata": {},
   "source": [
    "\n",
    "Now that we have an mle estimate for $\\theta={\\alpha,\\beta,l}$, we can estimate the return times of the as the inverse of the probabiltiy that rain is equal to or exceeds the maximum observed precip. \n",
    "\n",
    "$$ \\text{return time} =\\frac{1}{1-F(\\max\\{x\\}|\\alpha_{mle},\\beta_{mle},l_{mle})}$$\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "f44f9f4c-c3d2-41b9-b848-9c8faecfcc17",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "374.3981822070542\n"
     ]
    }
   ],
   "source": [
    "# Return times for Beumont\n",
    "prob=1-stats.gamma.cdf(np.max(precip),alpha_mle,loc_mle,scale_mle)\n",
    "\n",
    "# compute the return time (in days) and convert to years\n",
    "return_time_for_max=1/prob/365\n",
    "print(return_time_for_max)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a7a102ec-998e-4e52-946d-dd055b246979",
   "metadata": {},
   "source": [
    "Let's plot this data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "029afad4-e96c-4fac-bb28-f423ae59f4a9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x168dc43e0>"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#support for cdf plot: let's go a bit beyond the maximum precipitation\n",
    "x=np.linspace(0,np.max(precip)+3)\n",
    "cdf=stats.gamma.cdf(x,alpha_mle,loc_mle,scale_mle)\n",
    "return_times=1/(1-cdf)/365\n",
    "\n",
    "figure,ax=plt.subplots(1,figsize=[10,5])\n",
    "plt.plot(x,return_times,'k')\n",
    "plt.plot(np.max(precip),return_time_for_max,'ro',label='precipitation during Hurricane Harvey');\n",
    "\n",
    "plt.xlabel('Daily Precipitation [mm]')\n",
    "plt.ylabel('Return Times [years]')\n",
    "plt.grid()\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bc0826a5-6c17-45d1-98d1-fce46d54f852",
   "metadata": {},
   "source": [
    "Let's repeat the analysis for the Port Arthur data. If you fit a Gamma ditribution and compute the return time of the largest daily rain event, what is the return time? \n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "id": "5fad05d2-361d-4acf-baac-e6675d1c11d9",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.14266156687516424, 0.019999999999999997, 1.5504222901142262]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x169db9ac0>]"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
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",
      "text/plain": [
       "<Figure size 1500x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# read data and take a cursory look\n",
    "df=pd.read_csv('https://raw.githubusercontent.com/cdds-uiuc/simles-book/main/content/Module02/data/PortArthur_precip.csv')\n",
    "df.head()\n",
    "\n",
    "# plot raw precipitation\n",
    "precip_raw=df['PRCP'].values\n",
    "precip_raw=precip_raw[np.isnan(precip_raw)==False] # take out nans\n",
    "precip=precip_raw[precip_raw>0.01]\n",
    "\n",
    "alpha_mle,loc_mle,scale_mle=stats.gamma.fit(precip,method='mle')\n",
    "print([alpha_mle,loc_mle,scale_mle])\n",
    "\n",
    "x_plot=np.linspace(0,np.max(precip),200)\n",
    "gamma_pdf=stats.gamma.pdf(x_plot,alpha_mle,loc_mle,scale_mle)\n",
    "\n",
    "\n",
    "# Plot the histogram of the data\n",
    "fig,ax=plt.subplots(1,2)\n",
    "ax[0].hist(precip,bin_edges,rwidth=0.9,density=True);\n",
    "ax[0].set_xlabel('daily precip (cm)')\n",
    "ax[0].set_ylabel('count (number of days)')\n",
    "\n",
    "ax[1].hist(precip,bin_edges,rwidth=0.9,density=True)\n",
    "ax[1].set_yscale('log')\n",
    "\n",
    "ax[0].plot(x_plot,gamma_pdf)\n",
    "ax[1].plot(x_plot,gamma_pdf)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "id": "3be18b73-ebc1-406c-aace-f193c1274268",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "4080713.548079735"
      ]
     },
     "execution_count": 50,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "prob=1-stats.gamma.cdf(np.max(precip),alpha_mle,loc_mle,scale_mle)\n",
    "1/prob/365"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "99fa5df5-a7c4-4757-8b01-3154043a8130",
   "metadata": {},
   "source": [
    "Does that seem reasonable? Why do you think the statistical model fails here? Think of the type of precipitation events that make up the precipitation data at Port Arthur"
   ]
  }
 ],
 "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": "3.12.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}