example.ipynb

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   "source": [
    "# !pip install mesa"
   ]
  },
  {
   "cell_type": "code",
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   "source": [
    "import enum\n",
    "import random\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from mesa import Agent, Model\n",
    "from mesa.time import RandomActivation\n",
    "from mesa.space import MultiGrid\n",
    "from mesa.datacollection import DataCollector\n",
    "from scipy import stats\n",
    "\n",
    "\n",
    "import pandas as pd\n",
    "pd.options.display.max_rows = 150"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "44319a90-f305-4ad3-af1f-dbd20c7c2577",
   "metadata": {},
   "source": [
    "# Updated source code"
   ]
  },
  {
   "cell_type": "code",
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    "execution": {
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   "source": [
    "class State(enum.IntEnum):  \n",
    "    SUSCEPTIBLE = 0\n",
    "    INFECTED = 1\n",
    "    RECOVERED = 2\n",
    "    DEAD = 3\n",
    "    VACCINATED = 4"
   ]
  },
  {
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   "id": "45fd4a9e-4519-4621-8456-562c1828e33c",
   "metadata": {
    "execution": {
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   "source": [
    "class MyAgent(Agent):\n",
    "    \"\"\"An agent in a rudimentary SIRDV model\"\"\"\n",
    "    def __init__(self, unique_id, model):\n",
    "        super().__init__(unique_id, model)   \n",
    "        self.state = State.SUSCEPTIBLE  \n",
    "        self.infection_time = 0\n",
    "        # Add number of days before a newly-infected person becomes infectious\n",
    "        self.exposed_time = np.random.normal(5, 2)  \n",
    "        self.shots = 0  # Keep track of the number of vaccination shots\n",
    "        \n",
    "    def move(self):\n",
    "        \"\"\"Moves the agent to a new position in the grid\"\"\"\n",
    "        # Dead agents do not move\n",
    "        if self.state == State.DEAD:\n",
    "            return\n",
    "        possible_steps = self.model.grid.get_neighborhood(\n",
    "            self.pos,\n",
    "            moore=True,\n",
    "            include_center=False)\n",
    "        new_position = self.random.choice(possible_steps)\n",
    "        self.model.grid.move_agent(self, new_position)\n",
    "\n",
    "\n",
    "        \n",
    "    def status(self):\n",
    "        \"\"\"\n",
    "        Checks the infection status of the agent and updates its state based on the following rules:\n",
    "        - If the agent is infected and has been exposed for longer than their exposed time, they may either die or recover.\n",
    "        - If the agent is vaccinated, they may become infected if they come into contact with an infected agent.\n",
    "        \"\"\"\n",
    "        if self.state == State.INFECTED and self.model.schedule.time - self.infection_time > self.exposed_time:     \n",
    "            drate = self.model.death_rate\n",
    "            alive = np.random.choice([0,1], p=[drate,1-drate])\n",
    "            if alive == 0:\n",
    "                self.state = State.DEAD\n",
    "            else:\n",
    "                t = self.model.schedule.time-self.infection_time\n",
    "                if t >= self.recovery_time:          \n",
    "                    self.state = State.RECOVERED\n",
    "        elif self.state == State.VACCINATED:\n",
    "            # If a vaccinated agent comes into contact with an infected agent, there's a chance they could become infected.\n",
    "            cellmates = self.model.grid.get_cell_list_contents([self.pos])\n",
    "            if len(cellmates) > 1:\n",
    "                for other in cellmates:\n",
    "                    if other.state is State.INFECTED and self.random.random() < self.model.ptrans:\n",
    "                        self.state = State.INFECTED\n",
    "                        self.infection_time = self.model.schedule.time\n",
    "                        self.recovery_time = self.model.get_recovery_time()\n",
    "\n",
    "    def contact(self):\n",
    "        \"\"\"\n",
    "        This method simulates the contact between agents in a grid. If an agent is dead, it does not come into contact with other agents.\n",
    "        If an agent is infected and comes into contact with a susceptible agent, the susceptible agent may become infected based on the transmission rate.\n",
    "        \"\"\"\n",
    "        if self.state == State.DEAD:\n",
    "            return\n",
    "        cellmates = self.model.grid.get_cell_list_contents([self.pos])       \n",
    "        if len(cellmates) > 1:\n",
    "            for other in cellmates:\n",
    "                # Agents with one shot get partial immunity (reduced transmission rate)\n",
    "                # while the transmission rates of agents with two shots are cut by 75%\n",
    "                if self.random.random() > self.model.ptrans * (0.5 if self.shots == 1 else 0.25 if self.shots >= 2 else 1):\n",
    "                    continue\n",
    "                if self.state is State.INFECTED and other.state is State.SUSCEPTIBLE:                    \n",
    "                    other.state = State.INFECTED\n",
    "                    other.infection_time = self.model.schedule.time\n",
    "                    other.recovery_time = self.model.get_recovery_time()\n",
    "\n",
    "    def step(self):\n",
    "        \"\"\"\n",
    "        Performs one step of the agent's life by calling the status, move, and contact methods in order.\n",
    "        \"\"\"\n",
    "        self.status()\n",
    "        self.move()\n",
    "        self.contact()"
   ]
  },
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    "execution": {
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   "source": [
    "# Modified model class to initiate vaccination after `vaccination_delay` to simulate supply chain issues \n",
    "# Vaccination starts after a specified delay and continues at each step. Agents receive one shot at a time. \n",
    "# Once an agent has received the required number of shots, their state changes to 'VACCINATED'.\n",
    "\n",
    "class GridInfectionModel(Model):\n",
    "\n",
    "    def __init__(self, seed=101, N=10, width=10, height=10, ptrans=0.02, \n",
    "                 progression_period=5, progression_sd=2, death_rate=0.00904, recovery_days=14,\n",
    "                 recovery_sd=7, vaccination_rate=0.02, vaccination_delay=0, shots_needed=2):\n",
    "        self.seed = seed\n",
    "        self.num_agents = N\n",
    "        self.initial_outbreak_size = 1\n",
    "        self.recovery_days = recovery_days\n",
    "        self.recovery_sd = recovery_sd\n",
    "        self.ptrans = ptrans\n",
    "        self.death_rate = death_rate\n",
    "        self.vaccination_rate = vaccination_rate\n",
    "        self.vaccination_delay = vaccination_delay\n",
    "        self.shots_needed = shots_needed\n",
    "        self.grid = MultiGrid(width, height, True)\n",
    "        self.schedule = RandomActivation(self)\n",
    "        self.running = True\n",
    "        self.dead_agents = []\n",
    "        # Create agents\n",
    "        for i in range(self.num_agents):\n",
    "            a = MyAgent(i, self)\n",
    "            self.schedule.add(a)\n",
    "            # Add the agent to a random grid cell\n",
    "            x = self.random.randrange(self.grid.width)\n",
    "            y = self.random.randrange(self.grid.height)\n",
    "            self.grid.place_agent(a, (x, y))\n",
    "            #make some agents infected at start\n",
    "            infected = np.random.choice([0,1], p=[0.98,0.02])\n",
    "            if infected == 1:\n",
    "                a.state = State.INFECTED\n",
    "                a.recovery_time = self.get_recovery_time()\n",
    "            \n",
    "        self.datacollector = DataCollector(\n",
    "            model_reporters={\"Total Susceptible\": lambda m: self.count_type(m, State.SUSCEPTIBLE),\n",
    "                             \"Total Infected\": lambda m: self.count_type(m, State.INFECTED),\n",
    "                             \"Total Recovered\": lambda m: self.count_type(m, State.RECOVERED),\n",
    "                             \"Total Dead\": lambda m: self.count_type(m, State.DEAD),\n",
    "                             \"Total Vaccinated\": lambda m: self.count_type(m, State.VACCINATED)},\n",
    "            agent_reporters={\"State\": \"state\"})\n",
    "\n",
    "    def get_recovery_time(self):\n",
    "        \"\"\"Returns the recovery time for an infected individual\"\"\"\n",
    "        return int(self.random.normalvariate(self.recovery_days,self.recovery_sd))\n",
    "    \n",
    "    def count_type(self, model, state):\n",
    "        \"\"\"Counts the number of agents in a given state\"\"\"\n",
    "        count = 0\n",
    "        for agent in model.schedule.agents:\n",
    "            if agent.state is state:\n",
    "                count += 1\n",
    "        return count\n",
    "    \n",
    "    def step(self):\n",
    "        \"\"\"This method performs one step in the model's schedule. \n",
    "        Vaccination starts after a specified delay and continues at each step. Agents receive one shot at a time. \n",
    "        Once an agent has received the required number of shots, their state changes to 'VACCINATED'.\"\"\"\n",
    "        self.datacollector.collect(self)\n",
    "        self.schedule.step()\n",
    "        if self.schedule.time >= self.vaccination_delay:\n",
    "            susceptible_agents = [a for a in self.schedule.agents if a.state is State.SUSCEPTIBLE]\n",
    "            for a in self.random.sample(susceptible_agents, min(len(susceptible_agents), int(self.vaccination_rate * len(susceptible_agents)))):\n",
    "                a.shots += 1\n",
    "                if a.shots >= self.shots_needed:\n",
    "                    a.state = State.VACCINATED"
   ]
  },
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   "source": [
    "Parameters:\n",
    "\n",
    "- `N`: The number of agents in the model. The default is 10,000 agents.\n",
    "- `width` and `height`: The size of the grid that the agents move around on. The default is 10x10.\n",
    "- `ptrans`: The probability of transmission of the infection when a susceptible and infected agent come into contact. The default value is 0.002.\n",
    "- `exposed_time`: controls the number of days that an infected agent is exposed before becoming infectious. When an agent first becomes infected, they are exposed to the disease but not yet able to transmit it to others. The exposed_time represents this incubation period.\n",
    "- `progression_period` and `progression_sd`: The mean and standard deviation of the normal distribution used to determine the progression period of the infection. In this case, the mean is 5 and the standard deviation is 2. This represents the number of steps it takes for the agent to either recover or die after becoming infected.\n",
    "- `death_rate`: The probability that an infected agent dies each step. The default is 0.00904.\n",
    "- `recovery_days` and `recovery_sd`: The mean and standard deviation of the normal distribution used to determine the recovery time of infected agents. In this case, the mean recovery time is 14 days and the standard deviation is 7 days.\n",
    "- `vaccination_rate`: The proportion of susceptible individuals who get vaccinated each step. The default is 0.05.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d1bbd8d2-37d6-4696-85b0-8e686393490d",
   "metadata": {},
   "source": [
    "# Scenario B - with Incubation Period, NO vaccination delay"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "id": "acf6b222-fc59-4b80-a0f2-157e6a7ef51d",
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   "source": [
    "# No delay, one run\n",
    "\n",
    "model2 = GridInfectionModel(seed=101, N=10000, width=10, height=10, ptrans=0.002, \n",
    "                           progression_period=5, progression_sd=2, death_rate=0.00904, recovery_days=14,\n",
    "                           recovery_sd=7, vaccination_rate=0.05, vaccination_delay=0, shots_needed=2)\n",
    "\n",
    "for i in range(100):\n",
    "    model2.step()\n"
   ]
  },
  {
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   "source": [
    "model_data2 = model2.datacollector.get_model_vars_dataframe()"
   ]
  },
  {
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       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Total Susceptible</th>\n",
       "      <th>Total Infected</th>\n",
       "      <th>Total Recovered</th>\n",
       "      <th>Total Dead</th>\n",
       "      <th>Total Vaccinated</th>\n",
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       "      <td>13</td>\n",
       "      <td>727</td>\n",
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       "      <th>11</th>\n",
       "      <td>7846</td>\n",
       "      <td>1136</td>\n",
       "      <td>151</td>\n",
       "      <td>19</td>\n",
       "      <td>848</td>\n",
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       "      <th>12</th>\n",
       "      <td>7567</td>\n",
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       "      <td>597</td>\n",
       "      <td>72</td>\n",
       "      <td>1558</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>5282</td>\n",
       "      <td>2359</td>\n",
       "      <td>669</td>\n",
       "      <td>83</td>\n",
       "      <td>1607</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>4989</td>\n",
       "      <td>2461</td>\n",
       "      <td>801</td>\n",
       "      <td>90</td>\n",
       "      <td>1659</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>4698</td>\n",
       "      <td>2563</td>\n",
       "      <td>924</td>\n",
       "      <td>104</td>\n",
       "      <td>1711</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>4421</td>\n",
       "      <td>2693</td>\n",
       "      <td>1046</td>\n",
       "      <td>116</td>\n",
       "      <td>1724</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>4144</td>\n",
       "      <td>2829</td>\n",
       "      <td>1164</td>\n",
       "      <td>131</td>\n",
       "      <td>1732</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>3890</td>\n",
       "      <td>2930</td>\n",
       "      <td>1306</td>\n",
       "      <td>146</td>\n",
       "      <td>1728</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>3625</td>\n",
       "      <td>3001</td>\n",
       "      <td>1476</td>\n",
       "      <td>158</td>\n",
       "      <td>1740</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>3409</td>\n",
       "      <td>3063</td>\n",
       "      <td>1646</td>\n",
       "      <td>172</td>\n",
       "      <td>1710</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>3182</td>\n",
       "      <td>3098</td>\n",
       "      <td>1815</td>\n",
       "      <td>193</td>\n",
       "      <td>1712</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>2970</td>\n",
       "      <td>3148</td>\n",
       "      <td>1977</td>\n",
       "      <td>207</td>\n",
       "      <td>1698</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>2777</td>\n",
       "      <td>3140</td>\n",
       "      <td>2170</td>\n",
       "      <td>223</td>\n",
       "      <td>1690</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>2606</td>\n",
       "      <td>3136</td>\n",
       "      <td>2361</td>\n",
       "      <td>245</td>\n",
       "      <td>1652</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>2430</td>\n",
       "      <td>3100</td>\n",
       "      <td>2561</td>\n",
       "      <td>263</td>\n",
       "      <td>1646</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32</th>\n",
       "      <td>2261</td>\n",
       "      <td>3060</td>\n",
       "      <td>2758</td>\n",
       "      <td>286</td>\n",
       "      <td>1635</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>33</th>\n",
       "      <td>2115</td>\n",
       "      <td>3005</td>\n",
       "      <td>2973</td>\n",
       "      <td>305</td>\n",
       "      <td>1602</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>34</th>\n",
       "      <td>1994</td>\n",
       "      <td>2944</td>\n",
       "      <td>3183</td>\n",
       "      <td>321</td>\n",
       "      <td>1558</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>35</th>\n",
       "      <td>1868</td>\n",
       "      <td>2855</td>\n",
       "      <td>3404</td>\n",
       "      <td>343</td>\n",
       "      <td>1530</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36</th>\n",
       "      <td>1766</td>\n",
       "      <td>2749</td>\n",
       "      <td>3619</td>\n",
       "      <td>355</td>\n",
       "      <td>1511</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>37</th>\n",
       "      <td>1668</td>\n",
       "      <td>2660</td>\n",
       "      <td>3807</td>\n",
       "      <td>377</td>\n",
       "      <td>1488</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>38</th>\n",
       "      <td>1563</td>\n",
       "      <td>2545</td>\n",
       "      <td>4030</td>\n",
       "      <td>393</td>\n",
       "      <td>1469</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39</th>\n",
       "      <td>1477</td>\n",
       "      <td>2430</td>\n",
       "      <td>4231</td>\n",
       "      <td>408</td>\n",
       "      <td>1454</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>40</th>\n",
       "      <td>1402</td>\n",
       "      <td>2287</td>\n",
       "      <td>4450</td>\n",
       "      <td>423</td>\n",
       "      <td>1438</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>41</th>\n",
       "      <td>1323</td>\n",
       "      <td>2194</td>\n",
       "      <td>4641</td>\n",
       "      <td>436</td>\n",
       "      <td>1406</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>42</th>\n",
       "      <td>1254</td>\n",
       "      <td>2079</td>\n",
       "      <td>4829</td>\n",
       "      <td>448</td>\n",
       "      <td>1390</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>43</th>\n",
       "      <td>1191</td>\n",
       "      <td>1969</td>\n",
       "      <td>5019</td>\n",
       "      <td>459</td>\n",
       "      <td>1362</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>44</th>\n",
       "      <td>1129</td>\n",
       "      <td>1833</td>\n",
       "      <td>5203</td>\n",
       "      <td>469</td>\n",
       "      <td>1366</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>45</th>\n",
       "      <td>1064</td>\n",
       "      <td>1722</td>\n",
       "      <td>5369</td>\n",
       "      <td>481</td>\n",
       "      <td>1364</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>46</th>\n",
       "      <td>1014</td>\n",
       "      <td>1594</td>\n",
       "      <td>5535</td>\n",
       "      <td>497</td>\n",
       "      <td>1360</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>47</th>\n",
       "      <td>966</td>\n",
       "      <td>1495</td>\n",
       "      <td>5677</td>\n",
       "      <td>514</td>\n",
       "      <td>1348</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>48</th>\n",
       "      <td>920</td>\n",
       "      <td>1387</td>\n",
       "      <td>5823</td>\n",
       "      <td>521</td>\n",
       "      <td>1349</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>49</th>\n",
       "      <td>873</td>\n",
       "      <td>1290</td>\n",
       "      <td>5958</td>\n",
       "      <td>533</td>\n",
       "      <td>1346</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50</th>\n",
       "      <td>830</td>\n",
       "      <td>1201</td>\n",
       "      <td>6084</td>\n",
       "      <td>542</td>\n",
       "      <td>1343</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>51</th>\n",
       "      <td>792</td>\n",
       "      <td>1124</td>\n",
       "      <td>6193</td>\n",
       "      <td>548</td>\n",
       "      <td>1343</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>52</th>\n",
       "      <td>753</td>\n",
       "      <td>1049</td>\n",
       "      <td>6304</td>\n",
       "      <td>553</td>\n",
       "      <td>1341</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>53</th>\n",
       "      <td>715</td>\n",
       "      <td>978</td>\n",
       "      <td>6407</td>\n",
       "      <td>559</td>\n",
       "      <td>1341</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>54</th>\n",
       "      <td>684</td>\n",
       "      <td>899</td>\n",
       "      <td>6502</td>\n",
       "      <td>565</td>\n",
       "      <td>1350</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>55</th>\n",
       "      <td>660</td>\n",
       "      <td>824</td>\n",
       "      <td>6590</td>\n",
       "      <td>571</td>\n",
       "      <td>1355</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>56</th>\n",
       "      <td>631</td>\n",
       "      <td>750</td>\n",
       "      <td>6688</td>\n",
       "      <td>575</td>\n",
       "      <td>1356</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>57</th>\n",
       "      <td>607</td>\n",
       "      <td>676</td>\n",
       "      <td>6781</td>\n",
       "      <td>583</td>\n",
       "      <td>1353</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>58</th>\n",
       "      <td>584</td>\n",
       "      <td>611</td>\n",
       "      <td>6866</td>\n",
       "      <td>586</td>\n",
       "      <td>1353</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>59</th>\n",
       "      <td>559</td>\n",
       "      <td>555</td>\n",
       "      <td>6936</td>\n",
       "      <td>591</td>\n",
       "      <td>1359</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>60</th>\n",
       "      <td>534</td>\n",
       "      <td>518</td>\n",
       "      <td>6988</td>\n",
       "      <td>594</td>\n",
       "      <td>1366</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>61</th>\n",
       "      <td>511</td>\n",
       "      <td>473</td>\n",
       "      <td>7045</td>\n",
       "      <td>597</td>\n",
       "      <td>1374</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>62</th>\n",
       "      <td>488</td>\n",
       "      <td>440</td>\n",
       "      <td>7095</td>\n",
       "      <td>602</td>\n",
       "      <td>1375</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>63</th>\n",
       "      <td>471</td>\n",
       "      <td>401</td>\n",
       "      <td>7142</td>\n",
       "      <td>605</td>\n",
       "      <td>1381</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>64</th>\n",
       "      <td>454</td>\n",
       "      <td>380</td>\n",
       "      <td>7177</td>\n",
       "      <td>605</td>\n",
       "      <td>1384</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>65</th>\n",
       "      <td>437</td>\n",
       "      <td>353</td>\n",
       "      <td>7212</td>\n",
       "      <td>606</td>\n",
       "      <td>1392</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>66</th>\n",
       "      <td>418</td>\n",
       "      <td>329</td>\n",
       "      <td>7248</td>\n",
       "      <td>607</td>\n",
       "      <td>1398</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>67</th>\n",
       "      <td>402</td>\n",
       "      <td>300</td>\n",
       "      <td>7283</td>\n",
       "      <td>610</td>\n",
       "      <td>1405</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>68</th>\n",
       "      <td>389</td>\n",
       "      <td>275</td>\n",
       "      <td>7317</td>\n",
       "      <td>612</td>\n",
       "      <td>1407</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>69</th>\n",
       "      <td>372</td>\n",
       "      <td>252</td>\n",
       "      <td>7345</td>\n",
       "      <td>615</td>\n",
       "      <td>1416</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>70</th>\n",
       "      <td>358</td>\n",
       "      <td>230</td>\n",
       "      <td>7369</td>\n",
       "      <td>617</td>\n",
       "      <td>1426</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>71</th>\n",
       "      <td>341</td>\n",
       "      <td>212</td>\n",
       "      <td>7392</td>\n",
       "      <td>619</td>\n",
       "      <td>1436</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>72</th>\n",
       "      <td>326</td>\n",
       "      <td>195</td>\n",
       "      <td>7413</td>\n",
       "      <td>619</td>\n",
       "      <td>1447</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>73</th>\n",
       "      <td>313</td>\n",
       "      <td>176</td>\n",
       "      <td>7440</td>\n",
       "      <td>619</td>\n",
       "      <td>1452</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>74</th>\n",
       "      <td>299</td>\n",
       "      <td>158</td>\n",
       "      <td>7462</td>\n",
       "      <td>620</td>\n",
       "      <td>1461</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75</th>\n",
       "      <td>287</td>\n",
       "      <td>143</td>\n",
       "      <td>7478</td>\n",
       "      <td>624</td>\n",
       "      <td>1468</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>76</th>\n",
       "      <td>277</td>\n",
       "      <td>129</td>\n",
       "      <td>7501</td>\n",
       "      <td>624</td>\n",
       "      <td>1469</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>77</th>\n",
       "      <td>266</td>\n",
       "      <td>104</td>\n",
       "      <td>7530</td>\n",
       "      <td>625</td>\n",
       "      <td>1475</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>78</th>\n",
       "      <td>255</td>\n",
       "      <td>101</td>\n",
       "      <td>7538</td>\n",
       "      <td>625</td>\n",
       "      <td>1481</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>79</th>\n",
       "      <td>245</td>\n",
       "      <td>97</td>\n",
       "      <td>7546</td>\n",
       "      <td>625</td>\n",
       "      <td>1487</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>80</th>\n",
       "      <td>237</td>\n",
       "      <td>93</td>\n",
       "      <td>7554</td>\n",
       "      <td>625</td>\n",
       "      <td>1491</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>81</th>\n",
       "      <td>228</td>\n",
       "      <td>87</td>\n",
       "      <td>7563</td>\n",
       "      <td>625</td>\n",
       "      <td>1497</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>82</th>\n",
       "      <td>218</td>\n",
       "      <td>84</td>\n",
       "      <td>7571</td>\n",
       "      <td>625</td>\n",
       "      <td>1502</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>83</th>\n",
       "      <td>210</td>\n",
       "      <td>75</td>\n",
       "      <td>7582</td>\n",
       "      <td>626</td>\n",
       "      <td>1507</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>84</th>\n",
       "      <td>200</td>\n",
       "      <td>65</td>\n",
       "      <td>7593</td>\n",
       "      <td>626</td>\n",
       "      <td>1516</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>85</th>\n",
       "      <td>192</td>\n",
       "      <td>55</td>\n",
       "      <td>7605</td>\n",
       "      <td>626</td>\n",
       "      <td>1522</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>86</th>\n",
       "      <td>187</td>\n",
       "      <td>51</td>\n",
       "      <td>7610</td>\n",
       "      <td>626</td>\n",
       "      <td>1526</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>87</th>\n",
       "      <td>183</td>\n",
       "      <td>51</td>\n",
       "      <td>7612</td>\n",
       "      <td>626</td>\n",
       "      <td>1528</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>88</th>\n",
       "      <td>174</td>\n",
       "      <td>48</td>\n",
       "      <td>7616</td>\n",
       "      <td>626</td>\n",
       "      <td>1536</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>89</th>\n",
       "      <td>168</td>\n",
       "      <td>43</td>\n",
       "      <td>7621</td>\n",
       "      <td>627</td>\n",
       "      <td>1541</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>90</th>\n",
       "      <td>162</td>\n",
       "      <td>38</td>\n",
       "      <td>7627</td>\n",
       "      <td>627</td>\n",
       "      <td>1546</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>91</th>\n",
       "      <td>155</td>\n",
       "      <td>40</td>\n",
       "      <td>7628</td>\n",
       "      <td>628</td>\n",
       "      <td>1549</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>92</th>\n",
       "      <td>149</td>\n",
       "      <td>36</td>\n",
       "      <td>7631</td>\n",
       "      <td>629</td>\n",
       "      <td>1555</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>93</th>\n",
       "      <td>142</td>\n",
       "      <td>32</td>\n",
       "      <td>7635</td>\n",
       "      <td>630</td>\n",
       "      <td>1561</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>94</th>\n",
       "      <td>136</td>\n",
       "      <td>27</td>\n",
       "      <td>7640</td>\n",
       "      <td>630</td>\n",
       "      <td>1567</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>95</th>\n",
       "      <td>131</td>\n",
       "      <td>27</td>\n",
       "      <td>7642</td>\n",
       "      <td>630</td>\n",
       "      <td>1570</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>96</th>\n",
       "      <td>127</td>\n",
       "      <td>24</td>\n",
       "      <td>7644</td>\n",
       "      <td>631</td>\n",
       "      <td>1574</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>97</th>\n",
       "      <td>122</td>\n",
       "      <td>24</td>\n",
       "      <td>7645</td>\n",
       "      <td>631</td>\n",
       "      <td>1578</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>98</th>\n",
       "      <td>118</td>\n",
       "      <td>21</td>\n",
       "      <td>7648</td>\n",
       "      <td>632</td>\n",
       "      <td>1581</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>99</th>\n",
       "      <td>114</td>\n",
       "      <td>20</td>\n",
       "      <td>7650</td>\n",
       "      <td>632</td>\n",
       "      <td>1584</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    Total Susceptible  Total Infected  Total Recovered  Total Dead  \\\n",
       "0                9806             194                0           0   \n",
       "1                9757             243                0           0   \n",
       "2                9662             309                0           0   \n",
       "3                9554             369                3           1   \n",
       "4                9402             438                6           1   \n",
       "5                9245             518               16           2   \n",
       "6                9039             628               26           4   \n",
       "7                8840             714               46           4   \n",
       "8                8607             814               62           7   \n",
       "9                8384             913               85           8   \n",
       "10               8102            1040              118          13   \n",
       "11               7846            1136              151          19   \n",
       "12               7567            1245              197          24   \n",
       "13               7249            1387              248          28   \n",
       "14               6917            1560              296          34   \n",
       "15               6545            1722              376          44   \n",
       "16               6218            1874              436          54   \n",
       "17               5895            2049              503          66   \n",
       "18               5599            2174              597          72   \n",
       "19               5282            2359              669          83   \n",
       "20               4989            2461              801          90   \n",
       "21               4698            2563              924         104   \n",
       "22               4421            2693             1046         116   \n",
       "23               4144            2829             1164         131   \n",
       "24               3890            2930             1306         146   \n",
       "25               3625            3001             1476         158   \n",
       "26               3409            3063             1646         172   \n",
       "27               3182            3098             1815         193   \n",
       "28               2970            3148             1977         207   \n",
       "29               2777            3140             2170         223   \n",
       "30               2606            3136             2361         245   \n",
       "31               2430            3100             2561         263   \n",
       "32               2261            3060             2758         286   \n",
       "33               2115            3005             2973         305   \n",
       "34               1994            2944             3183         321   \n",
       "35               1868            2855             3404         343   \n",
       "36               1766            2749             3619         355   \n",
       "37               1668            2660             3807         377   \n",
       "38               1563            2545             4030         393   \n",
       "39               1477            2430             4231         408   \n",
       "40               1402            2287             4450         423   \n",
       "41               1323            2194             4641         436   \n",
       "42               1254            2079             4829         448   \n",
       "43               1191            1969             5019         459   \n",
       "44               1129            1833             5203         469   \n",
       "45               1064            1722             5369         481   \n",
       "46               1014            1594             5535         497   \n",
       "47                966            1495             5677         514   \n",
       "48                920            1387             5823         521   \n",
       "49                873            1290             5958         533   \n",
       "50                830            1201             6084         542   \n",
       "51                792            1124             6193         548   \n",
       "52                753            1049             6304         553   \n",
       "53                715             978             6407         559   \n",
       "54                684             899             6502         565   \n",
       "55                660             824             6590         571   \n",
       "56                631             750             6688         575   \n",
       "57                607             676             6781         583   \n",
       "58                584             611             6866         586   \n",
       "59                559             555             6936         591   \n",
       "60                534             518             6988         594   \n",
       "61                511             473             7045         597   \n",
       "62                488             440             7095         602   \n",
       "63                471             401             7142         605   \n",
       "64                454             380             7177         605   \n",
       "65                437             353             7212         606   \n",
       "66                418             329             7248         607   \n",
       "67                402             300             7283         610   \n",
       "68                389             275             7317         612   \n",
       "69                372             252             7345         615   \n",
       "70                358             230             7369         617   \n",
       "71                341             212             7392         619   \n",
       "72                326             195             7413         619   \n",
       "73                313             176             7440         619   \n",
       "74                299             158             7462         620   \n",
       "75                287             143             7478         624   \n",
       "76                277             129             7501         624   \n",
       "77                266             104             7530         625   \n",
       "78                255             101             7538         625   \n",
       "79                245              97             7546         625   \n",
       "80                237              93             7554         625   \n",
       "81                228              87             7563         625   \n",
       "82                218              84             7571         625   \n",
       "83                210              75             7582         626   \n",
       "84                200              65             7593         626   \n",
       "85                192              55             7605         626   \n",
       "86                187              51             7610         626   \n",
       "87                183              51             7612         626   \n",
       "88                174              48             7616         626   \n",
       "89                168              43             7621         627   \n",
       "90                162              38             7627         627   \n",
       "91                155              40             7628         628   \n",
       "92                149              36             7631         629   \n",
       "93                142              32             7635         630   \n",
       "94                136              27             7640         630   \n",
       "95                131              27             7642         630   \n",
       "96                127              24             7644         631   \n",
       "97                122              24             7645         631   \n",
       "98                118              21             7648         632   \n",
       "99                114              20             7650         632   \n",
       "\n",
       "    Total Vaccinated  \n",
       "0                  0  \n",
       "1                  0  \n",
       "2                 29  \n",
       "3                 73  \n",
       "4                153  \n",
       "5                219  \n",
       "6                303  \n",
       "7                396  \n",
       "8                510  \n",
       "9                610  \n",
       "10               727  \n",
       "11               848  \n",
       "12               967  \n",
       "13              1088  \n",
       "14              1193  \n",
       "15              1313  \n",
       "16              1418  \n",
       "17              1487  \n",
       "18              1558  \n",
       "19              1607  \n",
       "20              1659  \n",
       "21              1711  \n",
       "22              1724  \n",
       "23              1732  \n",
       "24              1728  \n",
       "25              1740  \n",
       "26              1710  \n",
       "27              1712  \n",
       "28              1698  \n",
       "29              1690  \n",
       "30              1652  \n",
       "31              1646  \n",
       "32              1635  \n",
       "33              1602  \n",
       "34              1558  \n",
       "35              1530  \n",
       "36              1511  \n",
       "37              1488  \n",
       "38              1469  \n",
       "39              1454  \n",
       "40              1438  \n",
       "41              1406  \n",
       "42              1390  \n",
       "43              1362  \n",
       "44              1366  \n",
       "45              1364  \n",
       "46              1360  \n",
       "47              1348  \n",
       "48              1349  \n",
       "49              1346  \n",
       "50              1343  \n",
       "51              1343  \n",
       "52              1341  \n",
       "53              1341  \n",
       "54              1350  \n",
       "55              1355  \n",
       "56              1356  \n",
       "57              1353  \n",
       "58              1353  \n",
       "59              1359  \n",
       "60              1366  \n",
       "61              1374  \n",
       "62              1375  \n",
       "63              1381  \n",
       "64              1384  \n",
       "65              1392  \n",
       "66              1398  \n",
       "67              1405  \n",
       "68              1407  \n",
       "69              1416  \n",
       "70              1426  \n",
       "71              1436  \n",
       "72              1447  \n",
       "73              1452  \n",
       "74              1461  \n",
       "75              1468  \n",
       "76              1469  \n",
       "77              1475  \n",
       "78              1481  \n",
       "79              1487  \n",
       "80              1491  \n",
       "81              1497  \n",
       "82              1502  \n",
       "83              1507  \n",
       "84              1516  \n",
       "85              1522  \n",
       "86              1526  \n",
       "87              1528  \n",
       "88              1536  \n",
       "89              1541  \n",
       "90              1546  \n",
       "91              1549  \n",
       "92              1555  \n",
       "93              1561  \n",
       "94              1567  \n",
       "95              1570  \n",
       "96              1574  \n",
       "97              1578  \n",
       "98              1581  \n",
       "99              1584  "
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model_data2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "081069f1-da79-4139-a01e-f9302f25082f",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-11-18T23:53:59.867384Z",
     "iopub.status.busy": "2023-11-18T23:53:59.865225Z",
     "iopub.status.idle": "2023-11-18T23:54:00.045074Z",
     "shell.execute_reply": "2023-11-18T23:54:00.044444Z",
     "shell.execute_reply.started": "2023-11-18T23:53:59.867351Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 8))\n",
    "plt.plot(model_data2['Total Susceptible'], label='Susceptible')\n",
    "plt.plot(model_data2['Total Infected'], label='Infected')\n",
    "plt.plot(model_data2['Total Recovered'], label='Recovered')\n",
    "plt.plot(model_data2['Total Dead'], label='Dead')\n",
    "plt.plot(model_data2['Total Vaccinated'], label='Vaccinated')\n",
    "plt.legend()\n",
    "plt.title('No Vaccination Delay - 1 Run')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "060d630d-a439-4826-8152-0dc57cf6bc18",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-11-19T00:01:51.689875Z",
     "iopub.status.busy": "2023-11-19T00:01:51.689122Z",
     "iopub.status.idle": "2023-11-19T00:01:51.701414Z",
     "shell.execute_reply": "2023-11-19T00:01:51.700517Z",
     "shell.execute_reply.started": "2023-11-19T00:01:51.689836Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Total Infected    28\n",
       "dtype: int64"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Peak day of Infection\n",
    "model_data2[['Total Infected']].idxmax()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "0752b45b-4160-4a86-b089-de75cb916189",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-11-19T00:02:21.774226Z",
     "iopub.status.busy": "2023-11-19T00:02:21.773615Z",
     "iopub.status.idle": "2023-11-19T00:02:21.781526Z",
     "shell.execute_reply": "2023-11-19T00:02:21.780801Z",
     "shell.execute_reply.started": "2023-11-19T00:02:21.774201Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Total Dead    632\n",
       "dtype: int64"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Total Number of agents dead\n",
    "model_data2[['Total Dead']].max()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "890fc7d4-13d3-4f68-99e1-fb83720fd9b8",
   "metadata": {},
   "source": [
    "# Scenario C - with 30-Day Vaccination Delay, Double Vaccination Rate"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "a4f11dcc-a6a0-402f-a297-e16735126638",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-11-18T23:59:23.206206Z",
     "iopub.status.busy": "2023-11-18T23:59:23.203957Z",
     "iopub.status.idle": "2023-11-18T23:59:37.084850Z",
     "shell.execute_reply": "2023-11-18T23:59:37.084492Z",
     "shell.execute_reply.started": "2023-11-18T23:59:23.206167Z"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "# Vaccination delay\n",
    "\n",
    "model3 = GridInfectionModel(seed=101, N=10000, width=10, height=10, ptrans=0.002, \n",
    "                           progression_period=5, progression_sd=2, death_rate=0.00904, recovery_days=14,\n",
    "                           recovery_sd=7, vaccination_rate=0.10, vaccination_delay=30, shots_needed=2)\n",
    "\n",
    "for i in range(100):\n",
    "    model3.step()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "b3e8bae4-9bab-4f60-9db8-bc27c4351e0b",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-11-18T23:59:37.085794Z",
     "iopub.status.busy": "2023-11-18T23:59:37.085715Z",
     "iopub.status.idle": "2023-11-18T23:59:37.093922Z",
     "shell.execute_reply": "2023-11-18T23:59:37.093561Z",
     "shell.execute_reply.started": "2023-11-18T23:59:37.085787Z"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "model_data3 = model3.datacollector.get_model_vars_dataframe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "982ddc6c-a04f-45ad-bab3-295d365682a0",
   "metadata": {
    "collapsed": true,
    "execution": {
     "iopub.execute_input": "2023-11-18T23:59:37.094704Z",
     "iopub.status.busy": "2023-11-18T23:59:37.094447Z",
     "iopub.status.idle": "2023-11-18T23:59:37.111470Z",
     "shell.execute_reply": "2023-11-18T23:59:37.111208Z",
     "shell.execute_reply.started": "2023-11-18T23:59:37.094696Z"
    },
    "jupyter": {
     "outputs_hidden": true
    },
    "tags": []
   },
   "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>Total Susceptible</th>\n",
       "      <th>Total Infected</th>\n",
       "      <th>Total Recovered</th>\n",
       "      <th>Total Dead</th>\n",
       "      <th>Total Vaccinated</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>9781</td>\n",
       "      <td>219</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>9729</td>\n",
       "      <td>271</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>9679</td>\n",
       "      <td>321</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>9627</td>\n",
       "      <td>372</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>9541</td>\n",
       "      <td>455</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>9452</td>\n",
       "      <td>533</td>\n",
       "      <td>12</td>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>9343</td>\n",
       "      <td>633</td>\n",
       "      <td>20</td>\n",
       "      <td>4</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>9199</td>\n",
       "      <td>760</td>\n",
       "      <td>35</td>\n",
       "      <td>6</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>9055</td>\n",
       "      <td>886</td>\n",
       "      <td>51</td>\n",
       "      <td>8</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>8885</td>\n",
       "      <td>1016</td>\n",
       "      <td>89</td>\n",
       "      <td>10</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>8689</td>\n",
       "      <td>1178</td>\n",
       "      <td>118</td>\n",
       "      <td>15</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>8457</td>\n",
       "      <td>1370</td>\n",
       "      <td>153</td>\n",
       "      <td>20</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>8230</td>\n",
       "      <td>1541</td>\n",
       "      <td>205</td>\n",
       "      <td>24</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>7957</td>\n",
       "      <td>1760</td>\n",
       "      <td>250</td>\n",
       "      <td>33</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>7665</td>\n",
       "      <td>1989</td>\n",
       "      <td>306</td>\n",
       "      <td>40</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>7335</td>\n",
       "      <td>2240</td>\n",
       "      <td>375</td>\n",
       "      <td>50</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>6993</td>\n",
       "      <td>2483</td>\n",
       "      <td>457</td>\n",
       "      <td>67</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>6631</td>\n",
       "      <td>2742</td>\n",
       "      <td>550</td>\n",
       "      <td>77</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>6272</td>\n",
       "      <td>2974</td>\n",
       "      <td>664</td>\n",
       "      <td>90</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>5906</td>\n",
       "      <td>3224</td>\n",
       "      <td>775</td>\n",
       "      <td>95</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>5543</td>\n",
       "      <td>3431</td>\n",
       "      <td>919</td>\n",
       "      <td>107</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>5160</td>\n",
       "      <td>3667</td>\n",
       "      <td>1049</td>\n",
       "      <td>124</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>4790</td>\n",
       "      <td>3849</td>\n",
       "      <td>1228</td>\n",
       "      <td>133</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>4427</td>\n",
       "      <td>4018</td>\n",
       "      <td>1405</td>\n",
       "      <td>150</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>4115</td>\n",
       "      <td>4120</td>\n",
       "      <td>1596</td>\n",
       "      <td>169</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>3794</td>\n",
       "      <td>4184</td>\n",
       "      <td>1828</td>\n",
       "      <td>194</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>3491</td>\n",
       "      <td>4214</td>\n",
       "      <td>2072</td>\n",
       "      <td>223</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>3225</td>\n",
       "      <td>4198</td>\n",
       "      <td>2323</td>\n",
       "      <td>254</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>2973</td>\n",
       "      <td>4189</td>\n",
       "      <td>2559</td>\n",
       "      <td>279</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>2738</td>\n",
       "      <td>4153</td>\n",
       "      <td>2798</td>\n",
       "      <td>311</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>2517</td>\n",
       "      <td>4041</td>\n",
       "      <td>3107</td>\n",
       "      <td>335</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>2300</td>\n",
       "      <td>3903</td>\n",
       "      <td>3411</td>\n",
       "      <td>361</td>\n",
       "      <td>25</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32</th>\n",
       "      <td>2104</td>\n",
       "      <td>3759</td>\n",
       "      <td>3692</td>\n",
       "      <td>392</td>\n",
       "      <td>53</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>33</th>\n",
       "      <td>1902</td>\n",
       "      <td>3617</td>\n",
       "      <td>3950</td>\n",
       "      <td>413</td>\n",
       "      <td>118</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>34</th>\n",
       "      <td>1728</td>\n",
       "      <td>3434</td>\n",
       "      <td>4242</td>\n",
       "      <td>434</td>\n",
       "      <td>162</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>35</th>\n",
       "      <td>1571</td>\n",
       "      <td>3229</td>\n",
       "      <td>4542</td>\n",
       "      <td>456</td>\n",
       "      <td>202</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36</th>\n",
       "      <td>1418</td>\n",
       "      <td>3010</td>\n",
       "      <td>4834</td>\n",
       "      <td>476</td>\n",
       "      <td>262</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>37</th>\n",
       "      <td>1298</td>\n",
       "      <td>2776</td>\n",
       "      <td>5130</td>\n",
       "      <td>499</td>\n",
       "      <td>297</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>38</th>\n",
       "      <td>1175</td>\n",
       "      <td>2575</td>\n",
       "      <td>5390</td>\n",
       "      <td>514</td>\n",
       "      <td>346</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39</th>\n",
       "      <td>1076</td>\n",
       "      <td>2376</td>\n",
       "      <td>5642</td>\n",
       "      <td>529</td>\n",
       "      <td>377</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>40</th>\n",
       "      <td>992</td>\n",
       "      <td>2178</td>\n",
       "      <td>5865</td>\n",
       "      <td>549</td>\n",
       "      <td>416</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>41</th>\n",
       "      <td>899</td>\n",
       "      <td>2014</td>\n",
       "      <td>6067</td>\n",
       "      <td>565</td>\n",
       "      <td>455</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>42</th>\n",
       "      <td>826</td>\n",
       "      <td>1813</td>\n",
       "      <td>6289</td>\n",
       "      <td>579</td>\n",
       "      <td>493</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>43</th>\n",
       "      <td>748</td>\n",
       "      <td>1658</td>\n",
       "      <td>6479</td>\n",
       "      <td>589</td>\n",
       "      <td>526</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>44</th>\n",
       "      <td>679</td>\n",
       "      <td>1496</td>\n",
       "      <td>6668</td>\n",
       "      <td>599</td>\n",
       "      <td>558</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>45</th>\n",
       "      <td>620</td>\n",
       "      <td>1340</td>\n",
       "      <td>6838</td>\n",
       "      <td>608</td>\n",
       "      <td>594</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>46</th>\n",
       "      <td>566</td>\n",
       "      <td>1208</td>\n",
       "      <td>6997</td>\n",
       "      <td>614</td>\n",
       "      <td>615</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>47</th>\n",
       "      <td>520</td>\n",
       "      <td>1102</td>\n",
       "      <td>7120</td>\n",
       "      <td>625</td>\n",
       "      <td>633</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>48</th>\n",
       "      <td>477</td>\n",
       "      <td>992</td>\n",
       "      <td>7242</td>\n",
       "      <td>634</td>\n",
       "      <td>655</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>49</th>\n",
       "      <td>439</td>\n",
       "      <td>866</td>\n",
       "      <td>7379</td>\n",
       "      <td>642</td>\n",
       "      <td>674</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50</th>\n",
       "      <td>407</td>\n",
       "      <td>760</td>\n",
       "      <td>7491</td>\n",
       "      <td>650</td>\n",
       "      <td>692</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>51</th>\n",
       "      <td>374</td>\n",
       "      <td>659</td>\n",
       "      <td>7595</td>\n",
       "      <td>660</td>\n",
       "      <td>712</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>52</th>\n",
       "      <td>357</td>\n",
       "      <td>575</td>\n",
       "      <td>7683</td>\n",
       "      <td>668</td>\n",
       "      <td>717</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>53</th>\n",
       "      <td>330</td>\n",
       "      <td>527</td>\n",
       "      <td>7740</td>\n",
       "      <td>672</td>\n",
       "      <td>731</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>54</th>\n",
       "      <td>302</td>\n",
       "      <td>480</td>\n",
       "      <td>7797</td>\n",
       "      <td>675</td>\n",
       "      <td>746</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>55</th>\n",
       "      <td>280</td>\n",
       "      <td>423</td>\n",
       "      <td>7858</td>\n",
       "      <td>679</td>\n",
       "      <td>760</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>56</th>\n",
       "      <td>259</td>\n",
       "      <td>372</td>\n",
       "      <td>7912</td>\n",
       "      <td>683</td>\n",
       "      <td>774</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>57</th>\n",
       "      <td>240</td>\n",
       "      <td>329</td>\n",
       "      <td>7961</td>\n",
       "      <td>684</td>\n",
       "      <td>786</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>58</th>\n",
       "      <td>222</td>\n",
       "      <td>280</td>\n",
       "      <td>8010</td>\n",
       "      <td>689</td>\n",
       "      <td>799</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>59</th>\n",
       "      <td>203</td>\n",
       "      <td>246</td>\n",
       "      <td>8045</td>\n",
       "      <td>692</td>\n",
       "      <td>814</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>60</th>\n",
       "      <td>186</td>\n",
       "      <td>210</td>\n",
       "      <td>8085</td>\n",
       "      <td>693</td>\n",
       "      <td>826</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>61</th>\n",
       "      <td>174</td>\n",
       "      <td>190</td>\n",
       "      <td>8109</td>\n",
       "      <td>695</td>\n",
       "      <td>832</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>62</th>\n",
       "      <td>159</td>\n",
       "      <td>167</td>\n",
       "      <td>8137</td>\n",
       "      <td>695</td>\n",
       "      <td>842</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>63</th>\n",
       "      <td>146</td>\n",
       "      <td>145</td>\n",
       "      <td>8159</td>\n",
       "      <td>697</td>\n",
       "      <td>853</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>64</th>\n",
       "      <td>135</td>\n",
       "      <td>129</td>\n",
       "      <td>8181</td>\n",
       "      <td>697</td>\n",
       "      <td>858</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>65</th>\n",
       "      <td>125</td>\n",
       "      <td>118</td>\n",
       "      <td>8195</td>\n",
       "      <td>697</td>\n",
       "      <td>865</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>66</th>\n",
       "      <td>115</td>\n",
       "      <td>99</td>\n",
       "      <td>8215</td>\n",
       "      <td>697</td>\n",
       "      <td>874</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>67</th>\n",
       "      <td>106</td>\n",
       "      <td>92</td>\n",
       "      <td>8223</td>\n",
       "      <td>697</td>\n",
       "      <td>882</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>68</th>\n",
       "      <td>97</td>\n",
       "      <td>82</td>\n",
       "      <td>8237</td>\n",
       "      <td>697</td>\n",
       "      <td>887</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>69</th>\n",
       "      <td>90</td>\n",
       "      <td>74</td>\n",
       "      <td>8246</td>\n",
       "      <td>697</td>\n",
       "      <td>893</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>70</th>\n",
       "      <td>83</td>\n",
       "      <td>65</td>\n",
       "      <td>8256</td>\n",
       "      <td>697</td>\n",
       "      <td>899</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>71</th>\n",
       "      <td>76</td>\n",
       "      <td>60</td>\n",
       "      <td>8261</td>\n",
       "      <td>697</td>\n",
       "      <td>906</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>72</th>\n",
       "      <td>72</td>\n",
       "      <td>58</td>\n",
       "      <td>8265</td>\n",
       "      <td>697</td>\n",
       "      <td>908</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>73</th>\n",
       "      <td>68</td>\n",
       "      <td>46</td>\n",
       "      <td>8277</td>\n",
       "      <td>698</td>\n",
       "      <td>911</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>74</th>\n",
       "      <td>64</td>\n",
       "      <td>41</td>\n",
       "      <td>8283</td>\n",
       "      <td>698</td>\n",
       "      <td>914</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75</th>\n",
       "      <td>59</td>\n",
       "      <td>33</td>\n",
       "      <td>8292</td>\n",
       "      <td>698</td>\n",
       "      <td>918</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>76</th>\n",
       "      <td>55</td>\n",
       "      <td>30</td>\n",
       "      <td>8295</td>\n",
       "      <td>698</td>\n",
       "      <td>922</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>77</th>\n",
       "      <td>52</td>\n",
       "      <td>24</td>\n",
       "      <td>8301</td>\n",
       "      <td>698</td>\n",
       "      <td>925</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>78</th>\n",
       "      <td>48</td>\n",
       "      <td>20</td>\n",
       "      <td>8304</td>\n",
       "      <td>699</td>\n",
       "      <td>929</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>79</th>\n",
       "      <td>45</td>\n",
       "      <td>17</td>\n",
       "      <td>8307</td>\n",
       "      <td>699</td>\n",
       "      <td>932</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>80</th>\n",
       "      <td>42</td>\n",
       "      <td>13</td>\n",
       "      <td>8311</td>\n",
       "      <td>699</td>\n",
       "      <td>935</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>81</th>\n",
       "      <td>38</td>\n",
       "      <td>14</td>\n",
       "      <td>8311</td>\n",
       "      <td>699</td>\n",
       "      <td>938</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>82</th>\n",
       "      <td>36</td>\n",
       "      <td>11</td>\n",
       "      <td>8314</td>\n",
       "      <td>699</td>\n",
       "      <td>940</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>83</th>\n",
       "      <td>33</td>\n",
       "      <td>9</td>\n",
       "      <td>8316</td>\n",
       "      <td>699</td>\n",
       "      <td>943</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>84</th>\n",
       "      <td>30</td>\n",
       "      <td>7</td>\n",
       "      <td>8318</td>\n",
       "      <td>699</td>\n",
       "      <td>946</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>85</th>\n",
       "      <td>29</td>\n",
       "      <td>7</td>\n",
       "      <td>8318</td>\n",
       "      <td>699</td>\n",
       "      <td>947</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>86</th>\n",
       "      <td>27</td>\n",
       "      <td>6</td>\n",
       "      <td>8318</td>\n",
       "      <td>700</td>\n",
       "      <td>949</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>87</th>\n",
       "      <td>26</td>\n",
       "      <td>5</td>\n",
       "      <td>8319</td>\n",
       "      <td>700</td>\n",
       "      <td>950</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>88</th>\n",
       "      <td>24</td>\n",
       "      <td>5</td>\n",
       "      <td>8319</td>\n",
       "      <td>700</td>\n",
       "      <td>952</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>89</th>\n",
       "      <td>22</td>\n",
       "      <td>5</td>\n",
       "      <td>8319</td>\n",
       "      <td>700</td>\n",
       "      <td>954</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>90</th>\n",
       "      <td>20</td>\n",
       "      <td>5</td>\n",
       "      <td>8319</td>\n",
       "      <td>700</td>\n",
       "      <td>956</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>91</th>\n",
       "      <td>18</td>\n",
       "      <td>4</td>\n",
       "      <td>8320</td>\n",
       "      <td>700</td>\n",
       "      <td>958</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>92</th>\n",
       "      <td>17</td>\n",
       "      <td>4</td>\n",
       "      <td>8320</td>\n",
       "      <td>700</td>\n",
       "      <td>959</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>93</th>\n",
       "      <td>16</td>\n",
       "      <td>4</td>\n",
       "      <td>8320</td>\n",
       "      <td>700</td>\n",
       "      <td>960</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>94</th>\n",
       "      <td>15</td>\n",
       "      <td>3</td>\n",
       "      <td>8321</td>\n",
       "      <td>700</td>\n",
       "      <td>961</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>95</th>\n",
       "      <td>14</td>\n",
       "      <td>3</td>\n",
       "      <td>8321</td>\n",
       "      <td>700</td>\n",
       "      <td>962</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>96</th>\n",
       "      <td>13</td>\n",
       "      <td>3</td>\n",
       "      <td>8321</td>\n",
       "      <td>700</td>\n",
       "      <td>963</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>97</th>\n",
       "      <td>12</td>\n",
       "      <td>1</td>\n",
       "      <td>8323</td>\n",
       "      <td>700</td>\n",
       "      <td>964</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>98</th>\n",
       "      <td>11</td>\n",
       "      <td>1</td>\n",
       "      <td>8323</td>\n",
       "      <td>700</td>\n",
       "      <td>965</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>99</th>\n",
       "      <td>11</td>\n",
       "      <td>1</td>\n",
       "      <td>8323</td>\n",
       "      <td>700</td>\n",
       "      <td>965</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    Total Susceptible  Total Infected  Total Recovered  Total Dead  \\\n",
       "0                9781             219                0           0   \n",
       "1                9729             271                0           0   \n",
       "2                9679             321                0           0   \n",
       "3                9627             372                1           0   \n",
       "4                9541             455                3           1   \n",
       "5                9452             533               12           3   \n",
       "6                9343             633               20           4   \n",
       "7                9199             760               35           6   \n",
       "8                9055             886               51           8   \n",
       "9                8885            1016               89          10   \n",
       "10               8689            1178              118          15   \n",
       "11               8457            1370              153          20   \n",
       "12               8230            1541              205          24   \n",
       "13               7957            1760              250          33   \n",
       "14               7665            1989              306          40   \n",
       "15               7335            2240              375          50   \n",
       "16               6993            2483              457          67   \n",
       "17               6631            2742              550          77   \n",
       "18               6272            2974              664          90   \n",
       "19               5906            3224              775          95   \n",
       "20               5543            3431              919         107   \n",
       "21               5160            3667             1049         124   \n",
       "22               4790            3849             1228         133   \n",
       "23               4427            4018             1405         150   \n",
       "24               4115            4120             1596         169   \n",
       "25               3794            4184             1828         194   \n",
       "26               3491            4214             2072         223   \n",
       "27               3225            4198             2323         254   \n",
       "28               2973            4189             2559         279   \n",
       "29               2738            4153             2798         311   \n",
       "30               2517            4041             3107         335   \n",
       "31               2300            3903             3411         361   \n",
       "32               2104            3759             3692         392   \n",
       "33               1902            3617             3950         413   \n",
       "34               1728            3434             4242         434   \n",
       "35               1571            3229             4542         456   \n",
       "36               1418            3010             4834         476   \n",
       "37               1298            2776             5130         499   \n",
       "38               1175            2575             5390         514   \n",
       "39               1076            2376             5642         529   \n",
       "40                992            2178             5865         549   \n",
       "41                899            2014             6067         565   \n",
       "42                826            1813             6289         579   \n",
       "43                748            1658             6479         589   \n",
       "44                679            1496             6668         599   \n",
       "45                620            1340             6838         608   \n",
       "46                566            1208             6997         614   \n",
       "47                520            1102             7120         625   \n",
       "48                477             992             7242         634   \n",
       "49                439             866             7379         642   \n",
       "50                407             760             7491         650   \n",
       "51                374             659             7595         660   \n",
       "52                357             575             7683         668   \n",
       "53                330             527             7740         672   \n",
       "54                302             480             7797         675   \n",
       "55                280             423             7858         679   \n",
       "56                259             372             7912         683   \n",
       "57                240             329             7961         684   \n",
       "58                222             280             8010         689   \n",
       "59                203             246             8045         692   \n",
       "60                186             210             8085         693   \n",
       "61                174             190             8109         695   \n",
       "62                159             167             8137         695   \n",
       "63                146             145             8159         697   \n",
       "64                135             129             8181         697   \n",
       "65                125             118             8195         697   \n",
       "66                115              99             8215         697   \n",
       "67                106              92             8223         697   \n",
       "68                 97              82             8237         697   \n",
       "69                 90              74             8246         697   \n",
       "70                 83              65             8256         697   \n",
       "71                 76              60             8261         697   \n",
       "72                 72              58             8265         697   \n",
       "73                 68              46             8277         698   \n",
       "74                 64              41             8283         698   \n",
       "75                 59              33             8292         698   \n",
       "76                 55              30             8295         698   \n",
       "77                 52              24             8301         698   \n",
       "78                 48              20             8304         699   \n",
       "79                 45              17             8307         699   \n",
       "80                 42              13             8311         699   \n",
       "81                 38              14             8311         699   \n",
       "82                 36              11             8314         699   \n",
       "83                 33               9             8316         699   \n",
       "84                 30               7             8318         699   \n",
       "85                 29               7             8318         699   \n",
       "86                 27               6             8318         700   \n",
       "87                 26               5             8319         700   \n",
       "88                 24               5             8319         700   \n",
       "89                 22               5             8319         700   \n",
       "90                 20               5             8319         700   \n",
       "91                 18               4             8320         700   \n",
       "92                 17               4             8320         700   \n",
       "93                 16               4             8320         700   \n",
       "94                 15               3             8321         700   \n",
       "95                 14               3             8321         700   \n",
       "96                 13               3             8321         700   \n",
       "97                 12               1             8323         700   \n",
       "98                 11               1             8323         700   \n",
       "99                 11               1             8323         700   \n",
       "\n",
       "    Total Vaccinated  \n",
       "0                  0  \n",
       "1                  0  \n",
       "2                  0  \n",
       "3                  0  \n",
       "4                  0  \n",
       "5                  0  \n",
       "6                  0  \n",
       "7                  0  \n",
       "8                  0  \n",
       "9                  0  \n",
       "10                 0  \n",
       "11                 0  \n",
       "12                 0  \n",
       "13                 0  \n",
       "14                 0  \n",
       "15                 0  \n",
       "16                 0  \n",
       "17                 0  \n",
       "18                 0  \n",
       "19                 0  \n",
       "20                 0  \n",
       "21                 0  \n",
       "22                 0  \n",
       "23                 0  \n",
       "24                 0  \n",
       "25                 0  \n",
       "26                 0  \n",
       "27                 0  \n",
       "28                 0  \n",
       "29                 0  \n",
       "30                 0  \n",
       "31                25  \n",
       "32                53  \n",
       "33               118  \n",
       "34               162  \n",
       "35               202  \n",
       "36               262  \n",
       "37               297  \n",
       "38               346  \n",
       "39               377  \n",
       "40               416  \n",
       "41               455  \n",
       "42               493  \n",
       "43               526  \n",
       "44               558  \n",
       "45               594  \n",
       "46               615  \n",
       "47               633  \n",
       "48               655  \n",
       "49               674  \n",
       "50               692  \n",
       "51               712  \n",
       "52               717  \n",
       "53               731  \n",
       "54               746  \n",
       "55               760  \n",
       "56               774  \n",
       "57               786  \n",
       "58               799  \n",
       "59               814  \n",
       "60               826  \n",
       "61               832  \n",
       "62               842  \n",
       "63               853  \n",
       "64               858  \n",
       "65               865  \n",
       "66               874  \n",
       "67               882  \n",
       "68               887  \n",
       "69               893  \n",
       "70               899  \n",
       "71               906  \n",
       "72               908  \n",
       "73               911  \n",
       "74               914  \n",
       "75               918  \n",
       "76               922  \n",
       "77               925  \n",
       "78               929  \n",
       "79               932  \n",
       "80               935  \n",
       "81               938  \n",
       "82               940  \n",
       "83               943  \n",
       "84               946  \n",
       "85               947  \n",
       "86               949  \n",
       "87               950  \n",
       "88               952  \n",
       "89               954  \n",
       "90               956  \n",
       "91               958  \n",
       "92               959  \n",
       "93               960  \n",
       "94               961  \n",
       "95               962  \n",
       "96               963  \n",
       "97               964  \n",
       "98               965  \n",
       "99               965  "
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model_data3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "528b5a66-0cf0-43dd-8cb4-8af746922227",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-11-19T00:00:24.844887Z",
     "iopub.status.busy": "2023-11-19T00:00:24.843193Z",
     "iopub.status.idle": "2023-11-19T00:00:24.969502Z",
     "shell.execute_reply": "2023-11-19T00:00:24.969211Z",
     "shell.execute_reply.started": "2023-11-19T00:00:24.844809Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# With 30-Day Vaccination Delay\n",
    "plt.figure(figsize=(10, 8))\n",
    "plt.plot(model_data3['Total Susceptible'], label='Susceptible')\n",
    "plt.plot(model_data3['Total Infected'], label='Infected')\n",
    "plt.plot(model_data3['Total Recovered'], label='Recovered')\n",
    "plt.plot(model_data3['Total Dead'], label='Dead')\n",
    "plt.plot(model_data3['Total Vaccinated'], label='Vaccinated')\n",
    "plt.legend()\n",
    "plt.title('With 30-Day Vaccination Delay, Double Vaccination Rate - 1 Run')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "64927dd6-5952-4f22-a7fb-513017f9540b",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-11-19T00:02:29.332521Z",
     "iopub.status.busy": "2023-11-19T00:02:29.330890Z",
     "iopub.status.idle": "2023-11-19T00:02:29.348398Z",
     "shell.execute_reply": "2023-11-19T00:02:29.347753Z",
     "shell.execute_reply.started": "2023-11-19T00:02:29.332456Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Total Infected    26\n",
       "dtype: int64"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Peak day of Infection\n",
    "model_data3[['Total Infected']].idxmax()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "f8ba8117-b8e5-4675-bbfd-179a67c6a58f",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-11-19T00:02:42.787156Z",
     "iopub.status.busy": "2023-11-19T00:02:42.785743Z",
     "iopub.status.idle": "2023-11-19T00:02:42.804471Z",
     "shell.execute_reply": "2023-11-19T00:02:42.803911Z",
     "shell.execute_reply.started": "2023-11-19T00:02:42.787104Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Total Dead    700\n",
       "dtype: int64"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Total Number of agents dead\n",
    "model_data3[['Total Dead']].max()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a9ac5d51-4d35-40f2-962e-9e5c32dc0d79",
   "metadata": {},
   "source": [
    "# Running 50 Independent Replications for Model2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "da1e2818-c9ed-4d2d-bae2-876d29f76a39",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-11-19T00:05:20.166587Z",
     "iopub.status.busy": "2023-11-19T00:05:20.164944Z",
     "iopub.status.idle": "2023-11-19T00:18:16.938960Z",
     "shell.execute_reply": "2023-11-19T00:18:16.936676Z",
     "shell.execute_reply.started": "2023-11-19T00:05:20.166512Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Model 2 Replication 1 done\n",
      "Model 2 Replication 2 done\n",
      "Model 2 Replication 3 done\n",
      "Model 2 Replication 4 done\n",
      "Model 2 Replication 5 done\n",
      "Model 2 Replication 6 done\n",
      "Model 2 Replication 7 done\n",
      "Model 2 Replication 8 done\n",
      "Model 2 Replication 9 done\n",
      "Model 2 Replication 10 done\n",
      "Model 2 Replication 11 done\n",
      "Model 2 Replication 12 done\n",
      "Model 2 Replication 13 done\n",
      "Model 2 Replication 14 done\n",
      "Model 2 Replication 15 done\n",
      "Model 2 Replication 16 done\n",
      "Model 2 Replication 17 done\n",
      "Model 2 Replication 18 done\n",
      "Model 2 Replication 19 done\n",
      "Model 2 Replication 20 done\n",
      "Model 2 Replication 21 done\n",
      "Model 2 Replication 22 done\n",
      "Model 2 Replication 23 done\n",
      "Model 2 Replication 24 done\n",
      "Model 2 Replication 25 done\n",
      "Model 2 Replication 26 done\n",
      "Model 2 Replication 27 done\n",
      "Model 2 Replication 28 done\n",
      "Model 2 Replication 29 done\n",
      "Model 2 Replication 30 done\n",
      "Model 2 Replication 31 done\n",
      "Model 2 Replication 32 done\n",
      "Model 2 Replication 33 done\n",
      "Model 2 Replication 34 done\n",
      "Model 2 Replication 35 done\n",
      "Model 2 Replication 36 done\n",
      "Model 2 Replication 37 done\n",
      "Model 2 Replication 38 done\n",
      "Model 2 Replication 39 done\n",
      "Model 2 Replication 40 done\n",
      "Model 2 Replication 41 done\n",
      "Model 2 Replication 42 done\n",
      "Model 2 Replication 43 done\n",
      "Model 2 Replication 44 done\n",
      "Model 2 Replication 45 done\n",
      "Model 2 Replication 46 done\n",
      "Model 2 Replication 47 done\n",
      "Model 2 Replication 48 done\n",
      "Model 2 Replication 49 done\n",
      "Model 2 Replication 50 done\n"
     ]
    }
   ],
   "source": [
    "num_reps = 50\n",
    "model2_rep_data = []\n",
    "\n",
    "for i in range(num_reps):\n",
    "    model2_rep = GridInfectionModel(seed = random.seed(i), N=10000, width=10, height=10, ptrans=0.002,  \n",
    "                              progression_period=5, progression_sd=2, death_rate=0.00904, recovery_days=14,\n",
    "                              recovery_sd=7, vaccination_rate=0.05, vaccination_delay=0, shots_needed=2)\n",
    "\n",
    "    for j in range(100):\n",
    "        model2_rep.step()\n",
    "    \n",
    "    model2_rep_data.append(model2_rep.datacollector.get_model_vars_dataframe())\n",
    "\n",
    "    print(f\"Model 2 Replication {i+1} done\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "dc32fe2d-22ee-4d42-88e5-6cfe07dd72d5",
   "metadata": {
    "collapsed": true,
    "execution": {
     "iopub.execute_input": "2023-11-19T00:21:56.119493Z",
     "iopub.status.busy": "2023-11-19T00:21:56.118368Z",
     "iopub.status.idle": "2023-11-19T00:21:56.219625Z",
     "shell.execute_reply": "2023-11-19T00:21:56.219310Z",
     "shell.execute_reply.started": "2023-11-19T00:21:56.119467Z"
    },
    "jupyter": {
     "outputs_hidden": true
    },
    "tags": []
   },
   "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>Total Susceptible</th>\n",
       "      <th>Total Infected</th>\n",
       "      <th>Total Recovered</th>\n",
       "      <th>Total Dead</th>\n",
       "      <th>Total Vaccinated</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>9780</td>\n",
       "      <td>3264</td>\n",
       "      <td>7510</td>\n",
       "      <td>662</td>\n",
       "      <td>1691</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>9786</td>\n",
       "      <td>3023</td>\n",
       "      <td>7531</td>\n",
       "      <td>634</td>\n",
       "      <td>1867</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>9784</td>\n",
       "      <td>3032</td>\n",
       "      <td>7327</td>\n",
       "      <td>701</td>\n",
       "      <td>1811</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>9795</td>\n",
       "      <td>3305</td>\n",
       "      <td>7717</td>\n",
       "      <td>646</td>\n",
       "      <td>1695</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>9793</td>\n",
       "      <td>2949</td>\n",
       "      <td>7455</td>\n",
       "      <td>670</td>\n",
       "      <td>1785</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>9834</td>\n",
       "      <td>2853</td>\n",
       "      <td>7404</td>\n",
       "      <td>629</td>\n",
       "      <td>1938</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>9782</td>\n",
       "      <td>3079</td>\n",
       "      <td>7504</td>\n",
       "      <td>633</td>\n",
       "      <td>1721</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>9818</td>\n",
       "      <td>3079</td>\n",
       "      <td>7463</td>\n",
       "      <td>642</td>\n",
       "      <td>1763</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>9826</td>\n",
       "      <td>3094</td>\n",
       "      <td>7562</td>\n",
       "      <td>677</td>\n",
       "      <td>1802</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>9807</td>\n",
       "      <td>3058</td>\n",
       "      <td>7478</td>\n",
       "      <td>614</td>\n",
       "      <td>1760</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>9811</td>\n",
       "      <td>3034</td>\n",
       "      <td>7498</td>\n",
       "      <td>648</td>\n",
       "      <td>1840</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>9802</td>\n",
       "      <td>2745</td>\n",
       "      <td>7402</td>\n",
       "      <td>615</td>\n",
       "      <td>1967</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>9800</td>\n",
       "      <td>3009</td>\n",
       "      <td>7435</td>\n",
       "      <td>618</td>\n",
       "      <td>1808</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>9789</td>\n",
       "      <td>3078</td>\n",
       "      <td>7497</td>\n",
       "      <td>715</td>\n",
       "      <td>1687</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>9809</td>\n",
       "      <td>2967</td>\n",
       "      <td>7480</td>\n",
       "      <td>646</td>\n",
       "      <td>1768</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>9785</td>\n",
       "      <td>3070</td>\n",
       "      <td>7551</td>\n",
       "      <td>674</td>\n",
       "      <td>1793</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>9799</td>\n",
       "      <td>2734</td>\n",
       "      <td>7341</td>\n",
       "      <td>652</td>\n",
       "      <td>1992</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>9791</td>\n",
       "      <td>3011</td>\n",
       "      <td>7430</td>\n",
       "      <td>694</td>\n",
       "      <td>1728</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>9801</td>\n",
       "      <td>3000</td>\n",
       "      <td>7498</td>\n",
       "      <td>646</td>\n",
       "      <td>1866</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>9791</td>\n",
       "      <td>2989</td>\n",
       "      <td>7509</td>\n",
       "      <td>651</td>\n",
       "      <td>1802</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>9806</td>\n",
       "      <td>2720</td>\n",
       "      <td>7336</td>\n",
       "      <td>638</td>\n",
       "      <td>2096</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>9768</td>\n",
       "      <td>2903</td>\n",
       "      <td>7465</td>\n",
       "      <td>694</td>\n",
       "      <td>1740</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>9792</td>\n",
       "      <td>3077</td>\n",
       "      <td>7552</td>\n",
       "      <td>689</td>\n",
       "      <td>1749</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>9813</td>\n",
       "      <td>2927</td>\n",
       "      <td>7467</td>\n",
       "      <td>659</td>\n",
       "      <td>1959</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>9812</td>\n",
       "      <td>2936</td>\n",
       "      <td>7518</td>\n",
       "      <td>638</td>\n",
       "      <td>1857</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>9789</td>\n",
       "      <td>3050</td>\n",
       "      <td>7545</td>\n",
       "      <td>662</td>\n",
       "      <td>1807</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>9810</td>\n",
       "      <td>2954</td>\n",
       "      <td>7458</td>\n",
       "      <td>655</td>\n",
       "      <td>1811</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>9813</td>\n",
       "      <td>2918</td>\n",
       "      <td>7506</td>\n",
       "      <td>641</td>\n",
       "      <td>1932</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>9831</td>\n",
       "      <td>2722</td>\n",
       "      <td>7411</td>\n",
       "      <td>618</td>\n",
       "      <td>2056</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>9812</td>\n",
       "      <td>2988</td>\n",
       "      <td>7479</td>\n",
       "      <td>695</td>\n",
       "      <td>1863</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>9799</td>\n",
       "      <td>2977</td>\n",
       "      <td>7442</td>\n",
       "      <td>650</td>\n",
       "      <td>1839</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>9806</td>\n",
       "      <td>2994</td>\n",
       "      <td>7466</td>\n",
       "      <td>688</td>\n",
       "      <td>1881</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32</th>\n",
       "      <td>9793</td>\n",
       "      <td>3131</td>\n",
       "      <td>7534</td>\n",
       "      <td>637</td>\n",
       "      <td>1697</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>33</th>\n",
       "      <td>9782</td>\n",
       "      <td>2878</td>\n",
       "      <td>7329</td>\n",
       "      <td>677</td>\n",
       "      <td>1848</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>34</th>\n",
       "      <td>9811</td>\n",
       "      <td>2912</td>\n",
       "      <td>7475</td>\n",
       "      <td>664</td>\n",
       "      <td>1914</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>35</th>\n",
       "      <td>9816</td>\n",
       "      <td>2972</td>\n",
       "      <td>7502</td>\n",
       "      <td>643</td>\n",
       "      <td>1917</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36</th>\n",
       "      <td>9799</td>\n",
       "      <td>2839</td>\n",
       "      <td>7431</td>\n",
       "      <td>640</td>\n",
       "      <td>1883</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>37</th>\n",
       "      <td>9835</td>\n",
       "      <td>2883</td>\n",
       "      <td>7513</td>\n",
       "      <td>657</td>\n",
       "      <td>2027</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>38</th>\n",
       "      <td>9780</td>\n",
       "      <td>3075</td>\n",
       "      <td>7511</td>\n",
       "      <td>607</td>\n",
       "      <td>1746</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39</th>\n",
       "      <td>9824</td>\n",
       "      <td>3162</td>\n",
       "      <td>7486</td>\n",
       "      <td>693</td>\n",
       "      <td>1871</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>40</th>\n",
       "      <td>9807</td>\n",
       "      <td>2984</td>\n",
       "      <td>7531</td>\n",
       "      <td>698</td>\n",
       "      <td>1847</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>41</th>\n",
       "      <td>9798</td>\n",
       "      <td>2881</td>\n",
       "      <td>7338</td>\n",
       "      <td>680</td>\n",
       "      <td>1941</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>42</th>\n",
       "      <td>9820</td>\n",
       "      <td>2941</td>\n",
       "      <td>7423</td>\n",
       "      <td>650</td>\n",
       "      <td>1941</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>43</th>\n",
       "      <td>9803</td>\n",
       "      <td>2978</td>\n",
       "      <td>7383</td>\n",
       "      <td>665</td>\n",
       "      <td>1844</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>44</th>\n",
       "      <td>9778</td>\n",
       "      <td>2949</td>\n",
       "      <td>7511</td>\n",
       "      <td>702</td>\n",
       "      <td>1863</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>45</th>\n",
       "      <td>9825</td>\n",
       "      <td>3100</td>\n",
       "      <td>7641</td>\n",
       "      <td>611</td>\n",
       "      <td>1915</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>46</th>\n",
       "      <td>9795</td>\n",
       "      <td>2832</td>\n",
       "      <td>7408</td>\n",
       "      <td>648</td>\n",
       "      <td>1933</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>47</th>\n",
       "      <td>9799</td>\n",
       "      <td>2976</td>\n",
       "      <td>7462</td>\n",
       "      <td>668</td>\n",
       "      <td>1891</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>48</th>\n",
       "      <td>9790</td>\n",
       "      <td>3131</td>\n",
       "      <td>7605</td>\n",
       "      <td>609</td>\n",
       "      <td>1777</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>49</th>\n",
       "      <td>9790</td>\n",
       "      <td>3002</td>\n",
       "      <td>7489</td>\n",
       "      <td>674</td>\n",
       "      <td>1740</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    Total Susceptible  Total Infected  Total Recovered  Total Dead  \\\n",
       "0                9780            3264             7510         662   \n",
       "1                9786            3023             7531         634   \n",
       "2                9784            3032             7327         701   \n",
       "3                9795            3305             7717         646   \n",
       "4                9793            2949             7455         670   \n",
       "5                9834            2853             7404         629   \n",
       "6                9782            3079             7504         633   \n",
       "7                9818            3079             7463         642   \n",
       "8                9826            3094             7562         677   \n",
       "9                9807            3058             7478         614   \n",
       "10               9811            3034             7498         648   \n",
       "11               9802            2745             7402         615   \n",
       "12               9800            3009             7435         618   \n",
       "13               9789            3078             7497         715   \n",
       "14               9809            2967             7480         646   \n",
       "15               9785            3070             7551         674   \n",
       "16               9799            2734             7341         652   \n",
       "17               9791            3011             7430         694   \n",
       "18               9801            3000             7498         646   \n",
       "19               9791            2989             7509         651   \n",
       "20               9806            2720             7336         638   \n",
       "21               9768            2903             7465         694   \n",
       "22               9792            3077             7552         689   \n",
       "23               9813            2927             7467         659   \n",
       "24               9812            2936             7518         638   \n",
       "25               9789            3050             7545         662   \n",
       "26               9810            2954             7458         655   \n",
       "27               9813            2918             7506         641   \n",
       "28               9831            2722             7411         618   \n",
       "29               9812            2988             7479         695   \n",
       "30               9799            2977             7442         650   \n",
       "31               9806            2994             7466         688   \n",
       "32               9793            3131             7534         637   \n",
       "33               9782            2878             7329         677   \n",
       "34               9811            2912             7475         664   \n",
       "35               9816            2972             7502         643   \n",
       "36               9799            2839             7431         640   \n",
       "37               9835            2883             7513         657   \n",
       "38               9780            3075             7511         607   \n",
       "39               9824            3162             7486         693   \n",
       "40               9807            2984             7531         698   \n",
       "41               9798            2881             7338         680   \n",
       "42               9820            2941             7423         650   \n",
       "43               9803            2978             7383         665   \n",
       "44               9778            2949             7511         702   \n",
       "45               9825            3100             7641         611   \n",
       "46               9795            2832             7408         648   \n",
       "47               9799            2976             7462         668   \n",
       "48               9790            3131             7605         609   \n",
       "49               9790            3002             7489         674   \n",
       "\n",
       "    Total Vaccinated  \n",
       "0               1691  \n",
       "1               1867  \n",
       "2               1811  \n",
       "3               1695  \n",
       "4               1785  \n",
       "5               1938  \n",
       "6               1721  \n",
       "7               1763  \n",
       "8               1802  \n",
       "9               1760  \n",
       "10              1840  \n",
       "11              1967  \n",
       "12              1808  \n",
       "13              1687  \n",
       "14              1768  \n",
       "15              1793  \n",
       "16              1992  \n",
       "17              1728  \n",
       "18              1866  \n",
       "19              1802  \n",
       "20              2096  \n",
       "21              1740  \n",
       "22              1749  \n",
       "23              1959  \n",
       "24              1857  \n",
       "25              1807  \n",
       "26              1811  \n",
       "27              1932  \n",
       "28              2056  \n",
       "29              1863  \n",
       "30              1839  \n",
       "31              1881  \n",
       "32              1697  \n",
       "33              1848  \n",
       "34              1914  \n",
       "35              1917  \n",
       "36              1883  \n",
       "37              2027  \n",
       "38              1746  \n",
       "39              1871  \n",
       "40              1847  \n",
       "41              1941  \n",
       "42              1941  \n",
       "43              1844  \n",
       "44              1863  \n",
       "45              1915  \n",
       "46              1933  \n",
       "47              1891  \n",
       "48              1777  \n",
       "49              1740  "
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Get number of replications\n",
    "num_reps = np.shape(model2_rep_data)[0]\n",
    "\n",
    "\n",
    "# Calculate mean of each variable across replications \n",
    "mean_data2_list = []\n",
    "\n",
    "for i in range(num_reps):\n",
    "    mean_data2 = []\n",
    "    \n",
    "    for col in model2_rep_data[i].columns:\n",
    "        # We're using max to get the total number of agents per state throughout the simulation\n",
    "        mean_i = model2_rep_data[i][col].values.max()\n",
    "        mean_data2.append(mean_i)\n",
    "    \n",
    "    mean_data2_list.append(mean_data2)\n",
    "\n",
    "mean_data2_df = pd.DataFrame(mean_data2_list, columns=[col for col in model2_rep_data[0].columns])\n",
    "mean_data2_df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "id": "1b28c24c-8d28-4474-ab10-d91110ba5128",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-11-19T00:22:14.647866Z",
     "iopub.status.busy": "2023-11-19T00:22:14.647197Z",
     "iopub.status.idle": "2023-11-19T00:22:14.662994Z",
     "shell.execute_reply": "2023-11-19T00:22:14.662637Z",
     "shell.execute_reply.started": "2023-11-19T00:22:14.647833Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "656.34"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sample_vals2 = mean_data2_df['Total Dead'].values\n",
    "sample_mean_death2 = sample_vals2.mean()\n",
    "sample_mean_death2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "66d967b3-38d6-4285-93f6-1493570389c0",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-11-19T00:22:15.675499Z",
     "iopub.status.busy": "2023-11-19T00:22:15.673663Z",
     "iopub.status.idle": "2023-11-19T00:22:15.686252Z",
     "shell.execute_reply": "2023-11-19T00:22:15.685596Z",
     "shell.execute_reply.started": "2023-11-19T00:22:15.675464Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3.88882333602023"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "n = num_reps\n",
    "sample_std_dev = np.sqrt(sum((x - sample_mean_death2) ** 2 for x in sample_vals2) / (n-1))\n",
    "std_err = sample_std_dev/ np.sqrt(n)\n",
    "std_err"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "ea5554fa-9368-4b70-a83f-b3818c5a5915",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-11-19T00:22:34.425488Z",
     "iopub.status.busy": "2023-11-19T00:22:34.423838Z",
     "iopub.status.idle": "2023-11-19T00:22:34.454621Z",
     "shell.execute_reply": "2023-11-19T00:22:34.454129Z",
     "shell.execute_reply.started": "2023-11-19T00:22:34.425431Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(648.5251169326301, 664.15488306737)"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Calculate the degrees of freedom\n",
    "dof = n - 1\n",
    "\n",
    "# Calculate 95% confidence intervals using t-distribution (method 2)\n",
    "tscore = stats.t.ppf(0.975, dof)\n",
    "moe = std_err * tscore\n",
    "ci2 = (sample_mean_death2 - moe, sample_mean_death2 + moe)\n",
    "ci2"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b85d04fa-ae3a-49a9-80d9-addc1fa0aa04",
   "metadata": {},
   "source": [
    "# Running 50 Independent Replications for Model3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "id": "aca5b763-4c15-4902-86d9-576ce2b927e0",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-11-19T00:25:51.460587Z",
     "iopub.status.busy": "2023-11-19T00:25:51.458347Z",
     "iopub.status.idle": "2023-11-19T00:35:43.908786Z",
     "shell.execute_reply": "2023-11-19T00:35:43.906441Z",
     "shell.execute_reply.started": "2023-11-19T00:25:51.460560Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Model 3 Replication 1 done\n",
      "Model 3 Replication 2 done\n",
      "Model 3 Replication 3 done\n",
      "Model 3 Replication 4 done\n",
      "Model 3 Replication 5 done\n",
      "Model 3 Replication 6 done\n",
      "Model 3 Replication 7 done\n",
      "Model 3 Replication 8 done\n",
      "Model 3 Replication 9 done\n",
      "Model 3 Replication 10 done\n",
      "Model 3 Replication 11 done\n",
      "Model 3 Replication 12 done\n",
      "Model 3 Replication 13 done\n",
      "Model 3 Replication 14 done\n",
      "Model 3 Replication 15 done\n",
      "Model 3 Replication 16 done\n",
      "Model 3 Replication 17 done\n",
      "Model 3 Replication 18 done\n",
      "Model 3 Replication 19 done\n",
      "Model 3 Replication 20 done\n",
      "Model 3 Replication 21 done\n",
      "Model 3 Replication 22 done\n",
      "Model 3 Replication 23 done\n",
      "Model 3 Replication 24 done\n",
      "Model 3 Replication 25 done\n",
      "Model 3 Replication 26 done\n",
      "Model 3 Replication 27 done\n",
      "Model 3 Replication 28 done\n",
      "Model 3 Replication 29 done\n",
      "Model 3 Replication 30 done\n",
      "Model 3 Replication 31 done\n",
      "Model 3 Replication 32 done\n",
      "Model 3 Replication 33 done\n",
      "Model 3 Replication 34 done\n",
      "Model 3 Replication 35 done\n",
      "Model 3 Replication 36 done\n",
      "Model 3 Replication 37 done\n",
      "Model 3 Replication 38 done\n",
      "Model 3 Replication 39 done\n",
      "Model 3 Replication 40 done\n"
     ]
    }
   ],
   "source": [
    "num_reps = 40\n",
    "model3_rep_data = []\n",
    "\n",
    "for i in range(num_reps):\n",
    "    \n",
    "    model3_rep = GridInfectionModel(seed = random.seed(i), N=10000, width=10, height=10, ptrans=0.002, \n",
    "                           progression_period=5, progression_sd=2, death_rate=0.00904, recovery_days=14,\n",
    "                           recovery_sd=7, vaccination_rate=0.10, vaccination_delay=30, shots_needed=2)\n",
    "\n",
    "    for j in range(100):\n",
    "        model3_rep.step()\n",
    "    \n",
    "    model3_rep_data.append(model3_rep.datacollector.get_model_vars_dataframe())\n",
    "\n",
    "    print(f\"Model 3 Replication {i+1} done\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "id": "63fefd33-8f7a-4209-868e-3f6296220582",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-11-19T00:35:43.911138Z",
     "iopub.status.busy": "2023-11-19T00:35:43.910979Z",
     "iopub.status.idle": "2023-11-19T00:35:43.943230Z",
     "shell.execute_reply": "2023-11-19T00:35:43.942969Z",
     "shell.execute_reply.started": "2023-11-19T00:35:43.911125Z"
    },
    "tags": []
   },
   "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>Total Susceptible</th>\n",
       "      <th>Total Infected</th>\n",
       "      <th>Total Recovered</th>\n",
       "      <th>Total Dead</th>\n",
       "      <th>Total Vaccinated</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>9809</td>\n",
       "      <td>4132</td>\n",
       "      <td>8257</td>\n",
       "      <td>741</td>\n",
       "      <td>989</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>9817</td>\n",
       "      <td>4281</td>\n",
       "      <td>8324</td>\n",
       "      <td>731</td>\n",
       "      <td>934</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>9794</td>\n",
       "      <td>4332</td>\n",
       "      <td>8350</td>\n",
       "      <td>738</td>\n",
       "      <td>901</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>9780</td>\n",
       "      <td>4094</td>\n",
       "      <td>8264</td>\n",
       "      <td>749</td>\n",
       "      <td>974</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>9835</td>\n",
       "      <td>4119</td>\n",
       "      <td>8246</td>\n",
       "      <td>750</td>\n",
       "      <td>993</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>9788</td>\n",
       "      <td>4188</td>\n",
       "      <td>8322</td>\n",
       "      <td>714</td>\n",
       "      <td>950</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>9812</td>\n",
       "      <td>4061</td>\n",
       "      <td>8176</td>\n",
       "      <td>713</td>\n",
       "      <td>1096</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>9794</td>\n",
       "      <td>4166</td>\n",
       "      <td>8282</td>\n",
       "      <td>754</td>\n",
       "      <td>954</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>9819</td>\n",
       "      <td>4090</td>\n",
       "      <td>8287</td>\n",
       "      <td>723</td>\n",
       "      <td>980</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>9797</td>\n",
       "      <td>4218</td>\n",
       "      <td>8291</td>\n",
       "      <td>719</td>\n",
       "      <td>978</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>9783</td>\n",
       "      <td>4221</td>\n",
       "      <td>8341</td>\n",
       "      <td>704</td>\n",
       "      <td>941</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>9780</td>\n",
       "      <td>4125</td>\n",
       "      <td>8229</td>\n",
       "      <td>742</td>\n",
       "      <td>1017</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>9811</td>\n",
       "      <td>4208</td>\n",
       "      <td>8193</td>\n",
       "      <td>754</td>\n",
       "      <td>1044</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>9795</td>\n",
       "      <td>3949</td>\n",
       "      <td>8239</td>\n",
       "      <td>708</td>\n",
       "      <td>1040</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>9794</td>\n",
       "      <td>4072</td>\n",
       "      <td>8195</td>\n",
       "      <td>718</td>\n",
       "      <td>1074</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>9804</td>\n",
       "      <td>4099</td>\n",
       "      <td>8216</td>\n",
       "      <td>768</td>\n",
       "      <td>1005</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>9821</td>\n",
       "      <td>4207</td>\n",
       "      <td>8293</td>\n",
       "      <td>741</td>\n",
       "      <td>949</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>9808</td>\n",
       "      <td>4040</td>\n",
       "      <td>8301</td>\n",
       "      <td>715</td>\n",
       "      <td>964</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>9818</td>\n",
       "      <td>4161</td>\n",
       "      <td>8207</td>\n",
       "      <td>733</td>\n",
       "      <td>1048</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>9806</td>\n",
       "      <td>4180</td>\n",
       "      <td>8316</td>\n",
       "      <td>718</td>\n",
       "      <td>957</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>9789</td>\n",
       "      <td>4210</td>\n",
       "      <td>8333</td>\n",
       "      <td>732</td>\n",
       "      <td>926</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>9801</td>\n",
       "      <td>4099</td>\n",
       "      <td>8289</td>\n",
       "      <td>725</td>\n",
       "      <td>975</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>9792</td>\n",
       "      <td>4118</td>\n",
       "      <td>8270</td>\n",
       "      <td>744</td>\n",
       "      <td>977</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>9815</td>\n",
       "      <td>4096</td>\n",
       "      <td>8220</td>\n",
       "      <td>738</td>\n",
       "      <td>1029</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>9795</td>\n",
       "      <td>4105</td>\n",
       "      <td>8290</td>\n",
       "      <td>738</td>\n",
       "      <td>959</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>9787</td>\n",
       "      <td>4394</td>\n",
       "      <td>8473</td>\n",
       "      <td>719</td>\n",
       "      <td>797</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>9784</td>\n",
       "      <td>4168</td>\n",
       "      <td>8299</td>\n",
       "      <td>742</td>\n",
       "      <td>943</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>9808</td>\n",
       "      <td>4127</td>\n",
       "      <td>8329</td>\n",
       "      <td>700</td>\n",
       "      <td>959</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>9801</td>\n",
       "      <td>4049</td>\n",
       "      <td>8249</td>\n",
       "      <td>746</td>\n",
       "      <td>995</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>9814</td>\n",
       "      <td>4232</td>\n",
       "      <td>8312</td>\n",
       "      <td>721</td>\n",
       "      <td>953</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>9836</td>\n",
       "      <td>4299</td>\n",
       "      <td>8336</td>\n",
       "      <td>730</td>\n",
       "      <td>923</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>9780</td>\n",
       "      <td>4225</td>\n",
       "      <td>8305</td>\n",
       "      <td>754</td>\n",
       "      <td>929</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32</th>\n",
       "      <td>9821</td>\n",
       "      <td>4201</td>\n",
       "      <td>8313</td>\n",
       "      <td>695</td>\n",
       "      <td>980</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>33</th>\n",
       "      <td>9823</td>\n",
       "      <td>4210</td>\n",
       "      <td>8311</td>\n",
       "      <td>716</td>\n",
       "      <td>958</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>34</th>\n",
       "      <td>9798</td>\n",
       "      <td>4156</td>\n",
       "      <td>8254</td>\n",
       "      <td>734</td>\n",
       "      <td>1002</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>35</th>\n",
       "      <td>9781</td>\n",
       "      <td>4153</td>\n",
       "      <td>8199</td>\n",
       "      <td>754</td>\n",
       "      <td>1029</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36</th>\n",
       "      <td>9803</td>\n",
       "      <td>4165</td>\n",
       "      <td>8331</td>\n",
       "      <td>696</td>\n",
       "      <td>964</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>37</th>\n",
       "      <td>9795</td>\n",
       "      <td>4130</td>\n",
       "      <td>8325</td>\n",
       "      <td>691</td>\n",
       "      <td>969</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>38</th>\n",
       "      <td>9788</td>\n",
       "      <td>4210</td>\n",
       "      <td>8392</td>\n",
       "      <td>704</td>\n",
       "      <td>893</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39</th>\n",
       "      <td>9784</td>\n",
       "      <td>4130</td>\n",
       "      <td>8275</td>\n",
       "      <td>727</td>\n",
       "      <td>989</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    Total Susceptible  Total Infected  Total Recovered  Total Dead  \\\n",
       "0                9809            4132             8257         741   \n",
       "1                9817            4281             8324         731   \n",
       "2                9794            4332             8350         738   \n",
       "3                9780            4094             8264         749   \n",
       "4                9835            4119             8246         750   \n",
       "5                9788            4188             8322         714   \n",
       "6                9812            4061             8176         713   \n",
       "7                9794            4166             8282         754   \n",
       "8                9819            4090             8287         723   \n",
       "9                9797            4218             8291         719   \n",
       "10               9783            4221             8341         704   \n",
       "11               9780            4125             8229         742   \n",
       "12               9811            4208             8193         754   \n",
       "13               9795            3949             8239         708   \n",
       "14               9794            4072             8195         718   \n",
       "15               9804            4099             8216         768   \n",
       "16               9821            4207             8293         741   \n",
       "17               9808            4040             8301         715   \n",
       "18               9818            4161             8207         733   \n",
       "19               9806            4180             8316         718   \n",
       "20               9789            4210             8333         732   \n",
       "21               9801            4099             8289         725   \n",
       "22               9792            4118             8270         744   \n",
       "23               9815            4096             8220         738   \n",
       "24               9795            4105             8290         738   \n",
       "25               9787            4394             8473         719   \n",
       "26               9784            4168             8299         742   \n",
       "27               9808            4127             8329         700   \n",
       "28               9801            4049             8249         746   \n",
       "29               9814            4232             8312         721   \n",
       "30               9836            4299             8336         730   \n",
       "31               9780            4225             8305         754   \n",
       "32               9821            4201             8313         695   \n",
       "33               9823            4210             8311         716   \n",
       "34               9798            4156             8254         734   \n",
       "35               9781            4153             8199         754   \n",
       "36               9803            4165             8331         696   \n",
       "37               9795            4130             8325         691   \n",
       "38               9788            4210             8392         704   \n",
       "39               9784            4130             8275         727   \n",
       "\n",
       "    Total Vaccinated  \n",
       "0                989  \n",
       "1                934  \n",
       "2                901  \n",
       "3                974  \n",
       "4                993  \n",
       "5                950  \n",
       "6               1096  \n",
       "7                954  \n",
       "8                980  \n",
       "9                978  \n",
       "10               941  \n",
       "11              1017  \n",
       "12              1044  \n",
       "13              1040  \n",
       "14              1074  \n",
       "15              1005  \n",
       "16               949  \n",
       "17               964  \n",
       "18              1048  \n",
       "19               957  \n",
       "20               926  \n",
       "21               975  \n",
       "22               977  \n",
       "23              1029  \n",
       "24               959  \n",
       "25               797  \n",
       "26               943  \n",
       "27               959  \n",
       "28               995  \n",
       "29               953  \n",
       "30               923  \n",
       "31               929  \n",
       "32               980  \n",
       "33               958  \n",
       "34              1002  \n",
       "35              1029  \n",
       "36               964  \n",
       "37               969  \n",
       "38               893  \n",
       "39               989  "
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Get number of replications\n",
    "num_reps = np.shape(model3_rep_data)[0]\n",
    "\n",
    "\n",
    "# Calculate mean of each variable across replications \n",
    "mean_data3_list = []\n",
    "\n",
    "for i in range(num_reps):\n",
    "    mean_data3 = []\n",
    "    \n",
    "    for col in model3_rep_data[i].columns:\n",
    "        mean_i = model3_rep_data[i][col].values.max()\n",
    "        mean_data3.append(mean_i)\n",
    "    \n",
    "    mean_data3_list.append(mean_data3)\n",
    "\n",
    "mean_data3_df = pd.DataFrame(mean_data3_list, columns=[col for col in model3_rep_data[0].columns])\n",
    "mean_data3_df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "id": "33763377-bfb2-499f-9929-3ec90100e2bc",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-11-19T00:35:43.943905Z",
     "iopub.status.busy": "2023-11-19T00:35:43.943813Z",
     "iopub.status.idle": "2023-11-19T00:35:43.949079Z",
     "shell.execute_reply": "2023-11-19T00:35:43.948802Z",
     "shell.execute_reply.started": "2023-11-19T00:35:43.943898Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "728.475"
      ]
     },
     "execution_count": 47,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sample_vals3 = mean_data3_df['Total Dead'].values\n",
    "sample_mean_death3 = sample_vals3.mean()\n",
    "sample_mean_death3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "id": "acf6527b-4567-42f3-97ca-9284765a52c0",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-11-19T00:35:43.950524Z",
     "iopub.status.busy": "2023-11-19T00:35:43.950405Z",
     "iopub.status.idle": "2023-11-19T00:35:43.954212Z",
     "shell.execute_reply": "2023-11-19T00:35:43.953949Z",
     "shell.execute_reply.started": "2023-11-19T00:35:43.950515Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2.9869346906408656"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "n = num_reps\n",
    "sample_std_dev3 = np.sqrt(sum((x - sample_mean_death3) ** 2 for x in sample_vals3) / (n-1))\n",
    "std_err3 = sample_std_dev3/ np.sqrt(n)\n",
    "std_err3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "id": "c775af5a-eabd-4ea8-af43-72fcbdc1fdf9",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-11-19T00:35:43.970647Z",
     "iopub.status.busy": "2023-11-19T00:35:43.970475Z",
     "iopub.status.idle": "2023-11-19T00:35:43.973439Z",
     "shell.execute_reply": "2023-11-19T00:35:43.973120Z",
     "shell.execute_reply.started": "2023-11-19T00:35:43.970638Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(722.4333543472956, 734.5166456527045)"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Calculate the degrees of freedom\n",
    "dof = n - 1\n",
    "\n",
    "# Calculate 95% confidence intervals using t-distribution (method 2)\n",
    "\n",
    "tscore = stats.t.ppf(0.975, dof)\n",
    "moe = std_err3 * tscore\n",
    "ci3 = (sample_mean_death3 - moe, sample_mean_death3 + moe)\n",
    "ci3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "9e301d65-f08f-4717-a3f0-ab206ad193fe",
   "metadata": {},
   "outputs": [],
   "source": []
  }
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