THESIS_correlation_metrics_firstpart.ipynb

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       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>#EventID</th>\n",
       "      <th>Time</th>\n",
       "      <th>Latitude</th>\n",
       "      <th>Longitude</th>\n",
       "      <th>Depth/Km</th>\n",
       "      <th>Author</th>\n",
       "      <th>Catalog</th>\n",
       "      <th>Contributor</th>\n",
       "      <th>ContributorID</th>\n",
       "      <th>MagType</th>\n",
       "      <th>Magnitude</th>\n",
       "      <th>MagAuthor</th>\n",
       "      <th>EventLocationName</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>24328471</td>\n",
       "      <td>2020-04-28T13:00:30.050000</td>\n",
       "      <td>38.4607</td>\n",
       "      <td>13.64330</td>\n",
       "      <td>17.7</td>\n",
       "      <td>SURVEY-INGV</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>ML</td>\n",
       "      <td>3.5</td>\n",
       "      <td>--</td>\n",
       "      <td>Tirreno Meridionale (MARE)</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>24326871</td>\n",
       "      <td>2020-04-28T07:14:45.750000</td>\n",
       "      <td>38.5943</td>\n",
       "      <td>14.17220</td>\n",
       "      <td>27.5</td>\n",
       "      <td>SURVEY-INGV</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>ML</td>\n",
       "      <td>3.0</td>\n",
       "      <td>--</td>\n",
       "      <td>Tirreno Meridionale (MARE)</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>24326451</td>\n",
       "      <td>2020-04-28T05:57:28.820000</td>\n",
       "      <td>38.4052</td>\n",
       "      <td>13.60600</td>\n",
       "      <td>25.4</td>\n",
       "      <td>SURVEY-INGV</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>ML</td>\n",
       "      <td>3.1</td>\n",
       "      <td>--</td>\n",
       "      <td>Costa Siciliana centro-settentrionale (Palermo)</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>24317311</td>\n",
       "      <td>2020-04-26T02:59:02.450000</td>\n",
       "      <td>40.8285</td>\n",
       "      <td>14.15167</td>\n",
       "      <td>2.5</td>\n",
       "      <td>SURVEY-INGV-OV</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>Md</td>\n",
       "      <td>3.1</td>\n",
       "      <td>--</td>\n",
       "      <td>5 km E Pozzuoli (NA)</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>24313381</td>\n",
       "      <td>2020-04-25T07:21:54.480000</td>\n",
       "      <td>37.7523</td>\n",
       "      <td>14.61750</td>\n",
       "      <td>23.5</td>\n",
       "      <td>BULLETIN-INGV</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>ML</td>\n",
       "      <td>3.4</td>\n",
       "      <td>--</td>\n",
       "      <td>4 km SE Troina (EN)</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11189</th>\n",
       "      <td>529</td>\n",
       "      <td>1985-01-07T00:34:49.290000</td>\n",
       "      <td>43.2250</td>\n",
       "      <td>12.73000</td>\n",
       "      <td>10.0</td>\n",
       "      <td>BULLETIN-VAX</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>Md</td>\n",
       "      <td>3.0</td>\n",
       "      <td>--</td>\n",
       "      <td>5 km W Gualdo Tadino (PG)</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11190</th>\n",
       "      <td>489</td>\n",
       "      <td>1985-01-06T17:22:58.540000</td>\n",
       "      <td>39.2910</td>\n",
       "      <td>16.76500</td>\n",
       "      <td>5.0</td>\n",
       "      <td>BULLETIN-VAX</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>Md</td>\n",
       "      <td>3.0</td>\n",
       "      <td>--</td>\n",
       "      <td>2 km N Castelsilano (KR)</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11191</th>\n",
       "      <td>239</td>\n",
       "      <td>1985-01-05T03:47:03.640000</td>\n",
       "      <td>45.4090</td>\n",
       "      <td>6.62700</td>\n",
       "      <td>10.0</td>\n",
       "      <td>BULLETIN-VAX</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>M</td>\n",
       "      <td>3.2</td>\n",
       "      <td>--</td>\n",
       "      <td>Confine Italia-Francia (FRANCIA)</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11192</th>\n",
       "      <td>229</td>\n",
       "      <td>1985-01-04T23:59:54.820000</td>\n",
       "      <td>45.3380</td>\n",
       "      <td>6.64100</td>\n",
       "      <td>5.0</td>\n",
       "      <td>BULLETIN-VAX</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>M</td>\n",
       "      <td>3.7</td>\n",
       "      <td>--</td>\n",
       "      <td>Confine Italia-Francia (FRANCIA)</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11193</th>\n",
       "      <td>199</td>\n",
       "      <td>1985-01-04T16:57:40.240000</td>\n",
       "      <td>46.1580</td>\n",
       "      <td>7.17400</td>\n",
       "      <td>10.0</td>\n",
       "      <td>BULLETIN-VAX</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>M</td>\n",
       "      <td>3.8</td>\n",
       "      <td>--</td>\n",
       "      <td>Confine Italia-Svizzera (SVIZZERA)</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>11194 rows × 13 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "       #EventID                        Time  Latitude  Longitude  Depth/Km  \\\n",
       "0                                                                            \n",
       "0      24328471  2020-04-28T13:00:30.050000   38.4607   13.64330      17.7   \n",
       "1      24326871  2020-04-28T07:14:45.750000   38.5943   14.17220      27.5   \n",
       "2      24326451  2020-04-28T05:57:28.820000   38.4052   13.60600      25.4   \n",
       "3      24317311  2020-04-26T02:59:02.450000   40.8285   14.15167       2.5   \n",
       "4      24313381  2020-04-25T07:21:54.480000   37.7523   14.61750      23.5   \n",
       "...         ...                         ...       ...        ...       ...   \n",
       "11189       529  1985-01-07T00:34:49.290000   43.2250   12.73000      10.0   \n",
       "11190       489  1985-01-06T17:22:58.540000   39.2910   16.76500       5.0   \n",
       "11191       239  1985-01-05T03:47:03.640000   45.4090    6.62700      10.0   \n",
       "11192       229  1985-01-04T23:59:54.820000   45.3380    6.64100       5.0   \n",
       "11193       199  1985-01-04T16:57:40.240000   46.1580    7.17400      10.0   \n",
       "\n",
       "               Author  Catalog  Contributor  ContributorID MagType  Magnitude  \\\n",
       "0                                                                               \n",
       "0         SURVEY-INGV      NaN          NaN            NaN      ML        3.5   \n",
       "1         SURVEY-INGV      NaN          NaN            NaN      ML        3.0   \n",
       "2         SURVEY-INGV      NaN          NaN            NaN      ML        3.1   \n",
       "3      SURVEY-INGV-OV      NaN          NaN            NaN      Md        3.1   \n",
       "4       BULLETIN-INGV      NaN          NaN            NaN      ML        3.4   \n",
       "...               ...      ...          ...            ...     ...        ...   \n",
       "11189    BULLETIN-VAX      NaN          NaN            NaN      Md        3.0   \n",
       "11190    BULLETIN-VAX      NaN          NaN            NaN      Md        3.0   \n",
       "11191    BULLETIN-VAX      NaN          NaN            NaN       M        3.2   \n",
       "11192    BULLETIN-VAX      NaN          NaN            NaN       M        3.7   \n",
       "11193    BULLETIN-VAX      NaN          NaN            NaN       M        3.8   \n",
       "\n",
       "      MagAuthor                                EventLocationName  \n",
       "0                                                                 \n",
       "0            --                       Tirreno Meridionale (MARE)  \n",
       "1            --                       Tirreno Meridionale (MARE)  \n",
       "2            --  Costa Siciliana centro-settentrionale (Palermo)  \n",
       "3            --                             5 km E Pozzuoli (NA)  \n",
       "4            --                              4 km SE Troina (EN)  \n",
       "...         ...                                              ...  \n",
       "11189        --                        5 km W Gualdo Tadino (PG)  \n",
       "11190        --                         2 km N Castelsilano (KR)  \n",
       "11191        --                 Confine Italia-Francia (FRANCIA)  \n",
       "11192        --                 Confine Italia-Francia (FRANCIA)  \n",
       "11193        --               Confine Italia-Svizzera (SVIZZERA)  \n",
       "\n",
       "[11194 rows x 13 columns]"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "import datetime\n",
    "import warnings\n",
    "a=pd.read_csv(r\"C:\\\\Users\\Graziano\\Desktop\\mio\\catalogue\\DATA3_magn.csv\")\n",
    "#put the index in ascending way\n",
    "a.sort_values(by='Time',ascending=False,inplace=True) #sort values according to time\n",
    "num=pd.Series([i for i in reversed(range(0,int(a.size/len(a.columns))))])  #range(0,2,-1) gives [2,1], riversed gives [1,0]\n",
    "a=pd.concat([a,num],axis=1)\n",
    "a.set_index(0,inplace=True) #remember inplace\n",
    "a.iloc[::-1]\n",
    "a"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "'''def funct_lat_long(i,j):\n",
    "    #timei=a_time.iloc[i+j]\n",
    "    dtime=((timej-a_time.iloc[i+j])).total_seconds()\n",
    "    lati = radians(a.iloc[i+j]['Latitude'])\n",
    "    loni = radians(a.iloc[i+j]['Longitude'])\n",
    "    a2 = sin((lati-latj) / 2)**2 + cos(latj) * cos(lati) * sin((loni-lonj) / 2)**2\n",
    "    distance = R * (sqrt((2 * atan2(sqrt(a2), sqrt(1 - a2)))**2+(a.iloc[i+j]['Depth/Km']-a.iloc[j]['Depth/Km'])**2))\n",
    "    space_time=round(dtime*distance**d*pow(10,-b*float(a.iloc[i+j]['Magnitude'])),12)\n",
    "    values.append(space_time)\n",
    "    return values, space_time, distance'''\n",
    "#a.size: size of data frame, a.columns: size of the columns\n",
    "#access the first (only) row as a Series using iloc, and then the value using the column name"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### ALGORITHM\n",
    "#### (There is the possibility that you couldn't be able to run the algorithm for the first time- In this case, try again).\n",
    "#### It takes a long time to have the results: at the moment don't put more than 1000 events in a catalogue or it could take several hours to spit up the solution.\n",
    "#### the result is a list with n lists nested (n is the number of events taken). In this \"nested list\" there are 3 elements: the first one is the $N_{ij}$ parameter, the second is the position of the mainshock in the catalogue, and the third one is the position of the aftershock."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
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     ]
    }
   ],
   "source": [
    "from datetime import datetime\n",
    "import time\n",
    "from math import sin, cos, sqrt, atan2, radians, pow\n",
    "d=1.6  \n",
    "b=1.21\n",
    "a_time=pd.Series(a['Time'])\n",
    "a['Time']=a_time.astype(np.datetime64)\n",
    "space_time_total=[]\n",
    "start_time=time.time()\n",
    "R = 6373.0    # approximate earth radius in km\n",
    "for j in range(int(a.size/len(a.columns))-3):  \n",
    "    timej=a_time.iloc[j]  \n",
    "    latj = radians(a.iloc[j]['Latitude'])\n",
    "    lonj = radians(a.iloc[j]['Longitude'])\n",
    "    i=1\n",
    "    values=[]\n",
    "    while i+j <= int(a.size/len(a.columns))-2 : \n",
    "        #timei=a_time.iloc[i+j]\n",
    "        dtime=((timej-a_time.iloc[i+j])).total_seconds()\n",
    "        lati = radians(a.iloc[i+j]['Latitude'])\n",
    "        loni = radians(a.iloc[i+j]['Longitude'])\n",
    "        a2 = sin((lati-latj) / 2)**2 + cos(latj) * cos(lati) * sin((loni-lonj) / 2)**2\n",
    "        distance = R*(sqrt((2 * atan2(sqrt(a2), sqrt(1 - a2)))**2+\n",
    "            (a.iloc[i+j]['Depth/Km']-a.iloc[j]['Depth/Km'])**2))\n",
    "        space_time=round(dtime*distance**d*pow(10,-b*float(a.iloc[i+j]['Magnitude'])),12)\n",
    "        values.append(space_time)\n",
    "        i+=1\n",
    "    min_value=min(values)    \n",
    "    i_value=values.index(min_value)+1+j\n",
    "    space_time_total.append([min_value,i_value,j])\n",
    "end_time=time.time()\n",
    "total_time=end_time-start_time\n",
    "print(space_time_total,total_time)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[314174597.23421323, 379745.1632048526] 99269.40620446205\n"
     ]
    }
   ],
   "source": [
    "print(values,total_time)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.5"
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 },
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}