doc/source/notebooks/stressor_characterization.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Characterization of stressors"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The characterization of stressors is a standard procedure to calculate the environmental and social impacts of economic activity. This is usually accomplished by multiplying (matrix-multiplication) the stressor-matrix with a characterization-matrix. Doing that in the matrix forms requires a 1:1 correspondence of the columns of the characterization matrix to the rows of the stressor-matrix."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Pymrio uses a different approach with matching the strings of the\n",
    "characterization table (given in long-format) to the available stressors. By\n",
    "doing that, the order of the entries in the characterization-table becomes\n",
    "unimportant.\n",
    "This implementation also allows to use characterization tables which includes\n",
    "characterization for stressors not present in the given satellite account. All\n",
    "characterizations relying on not available stressor will be automatically\n",
    "removed."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "lines_to_next_cell": 2
   },
   "source": [
    "For this example we use the test MRIO included in Pymrio. We also need\n",
    "the Pandas library for loading the characterization table and pathlib for some folder manipulation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from pathlib import Path"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "lines_to_next_cell": 2
   },
   "outputs": [],
   "source": [
    "import pandas as pd"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pymrio\n",
    "from pymrio.core.constants import PYMRIO_PATH  # noqa"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To load the test MRIO we use:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "io = pymrio.load_test()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "and the characterization table with some foo factors can be loaded by"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>stressor</th>\n",
       "      <th>compartment</th>\n",
       "      <th>impact</th>\n",
       "      <th>factor</th>\n",
       "      <th>impact_unit</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>emission_type1</td>\n",
       "      <td>air</td>\n",
       "      <td>air water impact</td>\n",
       "      <td>0.002</td>\n",
       "      <td>t</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>emission_type2</td>\n",
       "      <td>water</td>\n",
       "      <td>air water impact</td>\n",
       "      <td>0.001</td>\n",
       "      <td>t</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>emission_type1</td>\n",
       "      <td>air</td>\n",
       "      <td>total emissions</td>\n",
       "      <td>1.000</td>\n",
       "      <td>kg</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>emission_type2</td>\n",
       "      <td>water</td>\n",
       "      <td>total emissions</td>\n",
       "      <td>1.000</td>\n",
       "      <td>kg</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>emission_type3</td>\n",
       "      <td>land</td>\n",
       "      <td>total emissions</td>\n",
       "      <td>1.000</td>\n",
       "      <td>kg</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>emission_type1</td>\n",
       "      <td>air</td>\n",
       "      <td>total air emissions</td>\n",
       "      <td>0.001</td>\n",
       "      <td>t</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "         stressor compartment               impact  factor impact_unit\n",
       "0  emission_type1         air     air water impact   0.002           t\n",
       "1  emission_type2       water     air water impact   0.001           t\n",
       "2  emission_type1         air      total emissions   1.000          kg\n",
       "3  emission_type2       water      total emissions   1.000          kg\n",
       "4  emission_type3        land      total emissions   1.000          kg\n",
       "5  emission_type1         air  total air emissions   0.001           t"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "charact_table = pd.read_csv(\n",
    "    (PYMRIO_PATH[\"test_mrio\"] / Path(\"concordance\") / \"emissions_charact.tsv\"),\n",
    "    sep=\"\\t\",\n",
    ")\n",
    "charact_table"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This table contains the columns 'stressor' and 'compartment' which correspond\n",
    "to the index names of the test_mrio emission satellite accounts:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
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       "  <thead>\n",
       "    <tr>\n",
       "      <th></th>\n",
       "      <th>region</th>\n",
       "      <th colspan=\"8\" halign=\"left\">reg1</th>\n",
       "      <th colspan=\"2\" halign=\"left\">reg2</th>\n",
       "      <th>...</th>\n",
       "      <th colspan=\"2\" halign=\"left\">reg5</th>\n",
       "      <th colspan=\"8\" halign=\"left\">reg6</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th></th>\n",
       "      <th>sector</th>\n",
       "      <th>food</th>\n",
       "      <th>mining</th>\n",
       "      <th>manufactoring</th>\n",
       "      <th>electricity</th>\n",
       "      <th>construction</th>\n",
       "      <th>trade</th>\n",
       "      <th>transport</th>\n",
       "      <th>other</th>\n",
       "      <th>food</th>\n",
       "      <th>mining</th>\n",
       "      <th>...</th>\n",
       "      <th>transport</th>\n",
       "      <th>other</th>\n",
       "      <th>food</th>\n",
       "      <th>mining</th>\n",
       "      <th>manufactoring</th>\n",
       "      <th>electricity</th>\n",
       "      <th>construction</th>\n",
       "      <th>trade</th>\n",
       "      <th>transport</th>\n",
       "      <th>other</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>stressor</th>\n",
       "      <th>compartment</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",
       "      <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>emission_type1</th>\n",
       "      <th>air</th>\n",
       "      <td>1848064.80</td>\n",
       "      <td>986448.090</td>\n",
       "      <td>23613787.00</td>\n",
       "      <td>28139100.00</td>\n",
       "      <td>2584141.80</td>\n",
       "      <td>4132656.3</td>\n",
       "      <td>21766987.0</td>\n",
       "      <td>7842090.6</td>\n",
       "      <td>1697937.30</td>\n",
       "      <td>347378.150</td>\n",
       "      <td>...</td>\n",
       "      <td>42299319</td>\n",
       "      <td>10773826.0</td>\n",
       "      <td>15777996.0</td>\n",
       "      <td>6420955.5</td>\n",
       "      <td>113172450.0</td>\n",
       "      <td>56022534.0</td>\n",
       "      <td>4861838.5</td>\n",
       "      <td>18195621</td>\n",
       "      <td>47046542.0</td>\n",
       "      <td>21632868</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>emission_type2</th>\n",
       "      <th>water</th>\n",
       "      <td>139250.47</td>\n",
       "      <td>22343.295</td>\n",
       "      <td>763569.18</td>\n",
       "      <td>273981.55</td>\n",
       "      <td>317396.51</td>\n",
       "      <td>1254477.8</td>\n",
       "      <td>1012999.1</td>\n",
       "      <td>2449178.0</td>\n",
       "      <td>204835.44</td>\n",
       "      <td>29463.944</td>\n",
       "      <td>...</td>\n",
       "      <td>4199841</td>\n",
       "      <td>7191006.3</td>\n",
       "      <td>4826108.1</td>\n",
       "      <td>1865625.1</td>\n",
       "      <td>12700193.0</td>\n",
       "      <td>753213.7</td>\n",
       "      <td>2699288.3</td>\n",
       "      <td>13892313</td>\n",
       "      <td>8765784.3</td>\n",
       "      <td>16782553</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>2 rows × 48 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "region                            reg1                                         \\\n",
       "sector                            food      mining manufactoring  electricity   \n",
       "stressor       compartment                                                      \n",
       "emission_type1 air          1848064.80  986448.090   23613787.00  28139100.00   \n",
       "emission_type2 water         139250.47   22343.295     763569.18    273981.55   \n",
       "\n",
       "region                                                                     \\\n",
       "sector                     construction      trade   transport      other   \n",
       "stressor       compartment                                                  \n",
       "emission_type1 air           2584141.80  4132656.3  21766987.0  7842090.6   \n",
       "emission_type2 water          317396.51  1254477.8   1012999.1  2449178.0   \n",
       "\n",
       "region                            reg2              ...      reg5              \\\n",
       "sector                            food      mining  ... transport       other   \n",
       "stressor       compartment                          ...                         \n",
       "emission_type1 air          1697937.30  347378.150  ...  42299319  10773826.0   \n",
       "emission_type2 water         204835.44   29463.944  ...   4199841   7191006.3   \n",
       "\n",
       "region                            reg6                                       \\\n",
       "sector                            food     mining manufactoring electricity   \n",
       "stressor       compartment                                                    \n",
       "emission_type1 air          15777996.0  6420955.5   113172450.0  56022534.0   \n",
       "emission_type2 water         4826108.1  1865625.1    12700193.0    753213.7   \n",
       "\n",
       "region                                                                   \n",
       "sector                     construction     trade   transport     other  \n",
       "stressor       compartment                                               \n",
       "emission_type1 air            4861838.5  18195621  47046542.0  21632868  \n",
       "emission_type2 water          2699288.3  13892313   8765784.3  16782553  \n",
       "\n",
       "[2 rows x 48 columns]"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "io.emissions.F"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Theses index-names / columns-names need to match in order to match\n",
    "characterization factors to the stressors."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The other columns names can be passed to the characterization method. By default the method assumes the following column names:\n",
    "\n",
    "- impact: name of the characterization/impact\n",
    "- factor: the numerical (float) multiplication value for a specific stressor to derive the impact/characterized account\n",
    "- impact_unit: the unit of the calculated characterization/impact\n",
    "\n",
    "Alternative names can be passed through the parameters\n",
    "*characterized_name_column*, *characterization_factors_column* and *characterized_unit_column*.\n",
    "\n",
    "Note, that units of stressor are currently not checked - units as given in\n",
    "the satellite account to be characterized are assumed. These can be seen by:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th>unit</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>stressor</th>\n",
       "      <th>compartment</th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>emission_type1</th>\n",
       "      <th>air</th>\n",
       "      <td>kg</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>emission_type2</th>\n",
       "      <th>water</th>\n",
       "      <td>kg</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                           unit\n",
       "stressor       compartment     \n",
       "emission_type1 air           kg\n",
       "emission_type2 water         kg"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "io.emissions.unit"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Also note, that the charact_table contains a characterization called 'total\n",
    "emissions', for which the calculation requires a stressor not present in the\n",
    "satellite account. This will be automatically omitted."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To calculate the characterization we use"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING:root:Impact >total emissions< removed - calculation requires stressors not present in extension >Emissions<\n"
     ]
    }
   ],
   "source": [
    "impacts = io.emissions.characterize(charact_table, name=\"impacts\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The parameter *name* is optional, if omitted the name will be set to\n",
    "extension_name + _characterized"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The method call above results in a pymrio.Extension which can be inspected with the usual\n",
    "methods, e.g.:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
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       "  <thead>\n",
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       "      <th>region</th>\n",
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       "      <th>electricity</th>\n",
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       "      <th>transport</th>\n",
       "      <th>other</th>\n",
       "      <th>food</th>\n",
       "      <th>mining</th>\n",
       "      <th>...</th>\n",
       "      <th>transport</th>\n",
       "      <th>other</th>\n",
       "      <th>food</th>\n",
       "      <th>mining</th>\n",
       "      <th>manufactoring</th>\n",
       "      <th>electricity</th>\n",
       "      <th>construction</th>\n",
       "      <th>trade</th>\n",
       "      <th>transport</th>\n",
       "      <th>other</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>impact</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",
       "      <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>air water impact</th>\n",
       "      <td>3835.38007</td>\n",
       "      <td>1995.239475</td>\n",
       "      <td>47991.14318</td>\n",
       "      <td>56552.18155</td>\n",
       "      <td>5485.68011</td>\n",
       "      <td>9519.7904</td>\n",
       "      <td>44546.9731</td>\n",
       "      <td>18133.3592</td>\n",
       "      <td>3600.71004</td>\n",
       "      <td>724.220244</td>\n",
       "      <td>...</td>\n",
       "      <td>88798.479</td>\n",
       "      <td>28738.6583</td>\n",
       "      <td>36382.1001</td>\n",
       "      <td>14707.5361</td>\n",
       "      <td>239045.093</td>\n",
       "      <td>112798.2817</td>\n",
       "      <td>12422.9653</td>\n",
       "      <td>50283.555</td>\n",
       "      <td>102858.8683</td>\n",
       "      <td>60048.289</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>total air emissions</th>\n",
       "      <td>1848.06480</td>\n",
       "      <td>986.448090</td>\n",
       "      <td>23613.78700</td>\n",
       "      <td>28139.10000</td>\n",
       "      <td>2584.14180</td>\n",
       "      <td>4132.6563</td>\n",
       "      <td>21766.9870</td>\n",
       "      <td>7842.0906</td>\n",
       "      <td>1697.93730</td>\n",
       "      <td>347.378150</td>\n",
       "      <td>...</td>\n",
       "      <td>42299.319</td>\n",
       "      <td>10773.8260</td>\n",
       "      <td>15777.9960</td>\n",
       "      <td>6420.9555</td>\n",
       "      <td>113172.450</td>\n",
       "      <td>56022.5340</td>\n",
       "      <td>4861.8385</td>\n",
       "      <td>18195.621</td>\n",
       "      <td>47046.5420</td>\n",
       "      <td>21632.868</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>2 rows × 48 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "region                     reg1                                          \\\n",
       "sector                     food       mining manufactoring  electricity   \n",
       "impact                                                                    \n",
       "air water impact     3835.38007  1995.239475   47991.14318  56552.18155   \n",
       "total air emissions  1848.06480   986.448090   23613.78700  28139.10000   \n",
       "\n",
       "region                                                               \\\n",
       "sector              construction      trade   transport       other   \n",
       "impact                                                                \n",
       "air water impact      5485.68011  9519.7904  44546.9731  18133.3592   \n",
       "total air emissions   2584.14180  4132.6563  21766.9870   7842.0906   \n",
       "\n",
       "region                     reg2              ...       reg5              \\\n",
       "sector                     food      mining  ...  transport       other   \n",
       "impact                                       ...                          \n",
       "air water impact     3600.71004  724.220244  ...  88798.479  28738.6583   \n",
       "total air emissions  1697.93730  347.378150  ...  42299.319  10773.8260   \n",
       "\n",
       "region                     reg6                                         \\\n",
       "sector                     food      mining manufactoring  electricity   \n",
       "impact                                                                   \n",
       "air water impact     36382.1001  14707.5361    239045.093  112798.2817   \n",
       "total air emissions  15777.9960   6420.9555    113172.450   56022.5340   \n",
       "\n",
       "region                                                               \n",
       "sector              construction      trade    transport      other  \n",
       "impact                                                               \n",
       "air water impact      12422.9653  50283.555  102858.8683  60048.289  \n",
       "total air emissions    4861.8385  18195.621   47046.5420  21632.868  \n",
       "\n",
       "[2 rows x 48 columns]"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "impacts.F"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "    <tr>\n",
       "      <th>category</th>\n",
       "      <th>Final consumption expenditure by households</th>\n",
       "      <th>Final consumption expenditure by non-profit organisations serving households (NPISH)</th>\n",
       "      <th>Final consumption expenditure by government</th>\n",
       "      <th>Gross fixed capital formation</th>\n",
       "      <th>Changes in inventories</th>\n",
       "      <th>Changes in valuables</th>\n",
       "      <th>Export</th>\n",
       "      <th>Final consumption expenditure by households</th>\n",
       "      <th>Final consumption expenditure by non-profit organisations serving households (NPISH)</th>\n",
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       "      <th>Export</th>\n",
       "      <th>Final consumption expenditure by households</th>\n",
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       "      <th>Final consumption expenditure by government</th>\n",
       "      <th>Gross fixed capital formation</th>\n",
       "      <th>Changes in inventories</th>\n",
       "      <th>Changes in valuables</th>\n",
       "      <th>Export</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>impact</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
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       "      <th></th>\n",
       "      <th></th>\n",
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       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>air water impact</th>\n",
       "      <td>183877.047</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
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       "      <td>117347.860</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>...</td>\n",
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       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1305918.65</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>total air emissions</th>\n",
       "      <td>62335.321</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>38566.929</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>571278.30</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>2 rows × 42 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "region                                                     reg1  \\\n",
       "category            Final consumption expenditure by households   \n",
       "impact                                                            \n",
       "air water impact                                     183877.047   \n",
       "total air emissions                                   62335.321   \n",
       "\n",
       "region                                                                                                    \\\n",
       "category            Final consumption expenditure by non-profit organisations serving households (NPISH)   \n",
       "impact                                                                                                     \n",
       "air water impact                                                   0.0                                     \n",
       "total air emissions                                                0.0                                     \n",
       "\n",
       "region                                                           \\\n",
       "category            Final consumption expenditure by government   \n",
       "impact                                                            \n",
       "air water impact                                            0.0   \n",
       "total air emissions                                         0.0   \n",
       "\n",
       "region                                                                    \\\n",
       "category            Gross fixed capital formation Changes in inventories   \n",
       "impact                                                                     \n",
       "air water impact                              0.0                    0.0   \n",
       "total air emissions                           0.0                    0.0   \n",
       "\n",
       "region                                           \\\n",
       "category            Changes in valuables Export   \n",
       "impact                                            \n",
       "air water impact                     0.0    0.0   \n",
       "total air emissions                  0.0    0.0   \n",
       "\n",
       "region                                                     reg2  \\\n",
       "category            Final consumption expenditure by households   \n",
       "impact                                                            \n",
       "air water impact                                     117347.860   \n",
       "total air emissions                                   38566.929   \n",
       "\n",
       "region                                                                                                    \\\n",
       "category            Final consumption expenditure by non-profit organisations serving households (NPISH)   \n",
       "impact                                                                                                     \n",
       "air water impact                                                   0.0                                     \n",
       "total air emissions                                                0.0                                     \n",
       "\n",
       "region                                                           ...  \\\n",
       "category            Final consumption expenditure by government  ...   \n",
       "impact                                                           ...   \n",
       "air water impact                                            0.0  ...   \n",
       "total air emissions                                         0.0  ...   \n",
       "\n",
       "region                                reg5                              \\\n",
       "category            Changes in inventories Changes in valuables Export   \n",
       "impact                                                                   \n",
       "air water impact                       0.0                  0.0    0.0   \n",
       "total air emissions                    0.0                  0.0    0.0   \n",
       "\n",
       "region                                                     reg6  \\\n",
       "category            Final consumption expenditure by households   \n",
       "impact                                                            \n",
       "air water impact                                     1305918.65   \n",
       "total air emissions                                   571278.30   \n",
       "\n",
       "region                                                                                                    \\\n",
       "category            Final consumption expenditure by non-profit organisations serving households (NPISH)   \n",
       "impact                                                                                                     \n",
       "air water impact                                                   0.0                                     \n",
       "total air emissions                                                0.0                                     \n",
       "\n",
       "region                                                           \\\n",
       "category            Final consumption expenditure by government   \n",
       "impact                                                            \n",
       "air water impact                                            0.0   \n",
       "total air emissions                                         0.0   \n",
       "\n",
       "region                                                                    \\\n",
       "category            Gross fixed capital formation Changes in inventories   \n",
       "impact                                                                     \n",
       "air water impact                              0.0                    0.0   \n",
       "total air emissions                           0.0                    0.0   \n",
       "\n",
       "region                                           \n",
       "category            Changes in valuables Export  \n",
       "impact                                           \n",
       "air water impact                     0.0    0.0  \n",
       "total air emissions                  0.0    0.0  \n",
       "\n",
       "[2 rows x 42 columns]"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "impacts.F_Y"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "and the extension can be added to the MRIO"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "io.impacts = impacts"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "and used for subsequent calculations:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "      <th colspan=\"8\" halign=\"left\">reg1</th>\n",
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       "      <th>food</th>\n",
       "      <th>mining</th>\n",
       "      <th>manufactoring</th>\n",
       "      <th>electricity</th>\n",
       "      <th>construction</th>\n",
       "      <th>trade</th>\n",
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       "      <th>food</th>\n",
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       "      <th>transport</th>\n",
       "      <th>other</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>impact</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",
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       "      <th></th>\n",
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       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
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       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>air water impact</th>\n",
       "      <td>4354.677050</td>\n",
       "      <td>384.125264</td>\n",
       "      <td>211698.404833</td>\n",
       "      <td>23912.313854</td>\n",
       "      <td>7032.640535</td>\n",
       "      <td>8548.387702</td>\n",
       "      <td>22000.497397</td>\n",
       "      <td>40123.553814</td>\n",
       "      <td>3800.328439</td>\n",
       "      <td>42.024811</td>\n",
       "      <td>...</td>\n",
       "      <td>88433.836812</td>\n",
       "      <td>30080.437653</td>\n",
       "      <td>34765.284482</td>\n",
       "      <td>3227.857425</td>\n",
       "      <td>153582.938963</td>\n",
       "      <td>74236.159458</td>\n",
       "      <td>4580.343177</td>\n",
       "      <td>139321.814038</td>\n",
       "      <td>104944.664681</td>\n",
       "      <td>118394.939263</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>total air emissions</th>\n",
       "      <td>2056.183383</td>\n",
       "      <td>179.423536</td>\n",
       "      <td>97493.003893</td>\n",
       "      <td>11887.591799</td>\n",
       "      <td>3342.905658</td>\n",
       "      <td>3885.883601</td>\n",
       "      <td>10750.267281</td>\n",
       "      <td>15821.524280</td>\n",
       "      <td>1793.337828</td>\n",
       "      <td>19.145605</td>\n",
       "      <td>...</td>\n",
       "      <td>42095.049614</td>\n",
       "      <td>11386.614919</td>\n",
       "      <td>15172.354999</td>\n",
       "      <td>1345.317901</td>\n",
       "      <td>71450.748974</td>\n",
       "      <td>36831.672907</td>\n",
       "      <td>1836.695857</td>\n",
       "      <td>42415.684852</td>\n",
       "      <td>48054.090102</td>\n",
       "      <td>36022.975074</td>\n",
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       "</table>\n",
       "<p>2 rows × 48 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "region                      reg1                                           \\\n",
       "sector                      food      mining  manufactoring   electricity   \n",
       "impact                                                                      \n",
       "air water impact     4354.677050  384.125264  211698.404833  23912.313854   \n",
       "total air emissions  2056.183383  179.423536   97493.003893  11887.591799   \n",
       "\n",
       "region                                                                     \\\n",
       "sector              construction        trade     transport         other   \n",
       "impact                                                                      \n",
       "air water impact     7032.640535  8548.387702  22000.497397  40123.553814   \n",
       "total air emissions  3342.905658  3885.883601  10750.267281  15821.524280   \n",
       "\n",
       "region                      reg2             ...          reg5                \\\n",
       "sector                      food     mining  ...     transport         other   \n",
       "impact                                       ...                               \n",
       "air water impact     3800.328439  42.024811  ...  88433.836812  30080.437653   \n",
       "total air emissions  1793.337828  19.145605  ...  42095.049614  11386.614919   \n",
       "\n",
       "region                       reg6                                            \\\n",
       "sector                       food       mining  manufactoring   electricity   \n",
       "impact                                                                        \n",
       "air water impact     34765.284482  3227.857425  153582.938963  74236.159458   \n",
       "total air emissions  15172.354999  1345.317901   71450.748974  36831.672907   \n",
       "\n",
       "region                                                                         \n",
       "sector              construction          trade      transport          other  \n",
       "impact                                                                         \n",
       "air water impact     4580.343177  139321.814038  104944.664681  118394.939263  \n",
       "total air emissions  1836.695857   42415.684852   48054.090102   36022.975074  \n",
       "\n",
       "[2 rows x 48 columns]"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "io.calc_all()\n",
    "io.impacts.D_cba"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Characterizing calculated results"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The characterize method can also be used to characterize already calculated\n",
    "results. This works in the same way:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "io_aly = pymrio.load_test().calc_all()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
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       "      <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",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>emission_type1</th>\n",
       "      <th>air</th>\n",
       "      <td>2.056183e+06</td>\n",
       "      <td>179423.535893</td>\n",
       "      <td>9.749300e+07</td>\n",
       "      <td>1.188759e+07</td>\n",
       "      <td>3.342906e+06</td>\n",
       "      <td>3.885884e+06</td>\n",
       "      <td>1.075027e+07</td>\n",
       "      <td>1.582152e+07</td>\n",
       "      <td>1.793338e+06</td>\n",
       "      <td>19145.604911</td>\n",
       "      <td>...</td>\n",
       "      <td>4.209505e+07</td>\n",
       "      <td>1.138661e+07</td>\n",
       "      <td>1.517235e+07</td>\n",
       "      <td>1.345318e+06</td>\n",
       "      <td>7.145075e+07</td>\n",
       "      <td>3.683167e+07</td>\n",
       "      <td>1.836696e+06</td>\n",
       "      <td>4.241568e+07</td>\n",
       "      <td>4.805409e+07</td>\n",
       "      <td>3.602298e+07</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>emission_type2</th>\n",
       "      <th>water</th>\n",
       "      <td>2.423103e+05</td>\n",
       "      <td>25278.192086</td>\n",
       "      <td>1.671240e+07</td>\n",
       "      <td>1.371303e+05</td>\n",
       "      <td>3.468292e+05</td>\n",
       "      <td>7.766205e+05</td>\n",
       "      <td>4.999628e+05</td>\n",
       "      <td>8.480505e+06</td>\n",
       "      <td>2.136528e+05</td>\n",
       "      <td>3733.601474</td>\n",
       "      <td>...</td>\n",
       "      <td>4.243738e+06</td>\n",
       "      <td>7.307208e+06</td>\n",
       "      <td>4.420574e+06</td>\n",
       "      <td>5.372216e+05</td>\n",
       "      <td>1.068144e+07</td>\n",
       "      <td>5.728136e+05</td>\n",
       "      <td>9.069515e+05</td>\n",
       "      <td>5.449044e+07</td>\n",
       "      <td>8.836484e+06</td>\n",
       "      <td>4.634899e+07</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>2 rows × 48 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "region                              reg1                               \\\n",
       "sector                              food         mining manufactoring   \n",
       "stressor       compartment                                              \n",
       "emission_type1 air          2.056183e+06  179423.535893  9.749300e+07   \n",
       "emission_type2 water        2.423103e+05   25278.192086  1.671240e+07   \n",
       "\n",
       "region                                                                \\\n",
       "sector                       electricity  construction         trade   \n",
       "stressor       compartment                                             \n",
       "emission_type1 air          1.188759e+07  3.342906e+06  3.885884e+06   \n",
       "emission_type2 water        1.371303e+05  3.468292e+05  7.766205e+05   \n",
       "\n",
       "region                                                          reg2  \\\n",
       "sector                         transport         other          food   \n",
       "stressor       compartment                                             \n",
       "emission_type1 air          1.075027e+07  1.582152e+07  1.793338e+06   \n",
       "emission_type2 water        4.999628e+05  8.480505e+06  2.136528e+05   \n",
       "\n",
       "region                                    ...          reg5                \\\n",
       "sector                            mining  ...     transport         other   \n",
       "stressor       compartment                ...                               \n",
       "emission_type1 air          19145.604911  ...  4.209505e+07  1.138661e+07   \n",
       "emission_type2 water         3733.601474  ...  4.243738e+06  7.307208e+06   \n",
       "\n",
       "region                              reg6                              \\\n",
       "sector                              food        mining manufactoring   \n",
       "stressor       compartment                                             \n",
       "emission_type1 air          1.517235e+07  1.345318e+06  7.145075e+07   \n",
       "emission_type2 water        4.420574e+06  5.372216e+05  1.068144e+07   \n",
       "\n",
       "region                                                                \\\n",
       "sector                       electricity  construction         trade   \n",
       "stressor       compartment                                             \n",
       "emission_type1 air          3.683167e+07  1.836696e+06  4.241568e+07   \n",
       "emission_type2 water        5.728136e+05  9.069515e+05  5.449044e+07   \n",
       "\n",
       "region                                                  \n",
       "sector                         transport         other  \n",
       "stressor       compartment                              \n",
       "emission_type1 air          4.805409e+07  3.602298e+07  \n",
       "emission_type2 water        8.836484e+06  4.634899e+07  \n",
       "\n",
       "[2 rows x 48 columns]"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "io_aly.emissions.D_cba"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING:root:Impact >total emissions< removed - calculation requires stressors not present in extension >Emissions<\n"
     ]
    }
   ],
   "source": [
    "io_aly.impacts = io_aly.emissions.characterize(charact_table, name=\"impacts_new\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note, that all results which can be characterized directly (all flow accounts\n",
    "like D_cba, D_pba, ...) are automatically included:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "  <thead>\n",
       "    <tr>\n",
       "      <th>region</th>\n",
       "      <th colspan=\"8\" halign=\"left\">reg1</th>\n",
       "      <th colspan=\"2\" halign=\"left\">reg2</th>\n",
       "      <th>...</th>\n",
       "      <th colspan=\"2\" halign=\"left\">reg5</th>\n",
       "      <th colspan=\"8\" halign=\"left\">reg6</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>sector</th>\n",
       "      <th>food</th>\n",
       "      <th>mining</th>\n",
       "      <th>manufactoring</th>\n",
       "      <th>electricity</th>\n",
       "      <th>construction</th>\n",
       "      <th>trade</th>\n",
       "      <th>transport</th>\n",
       "      <th>other</th>\n",
       "      <th>food</th>\n",
       "      <th>mining</th>\n",
       "      <th>...</th>\n",
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       "      <th>other</th>\n",
       "      <th>food</th>\n",
       "      <th>mining</th>\n",
       "      <th>manufactoring</th>\n",
       "      <th>electricity</th>\n",
       "      <th>construction</th>\n",
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       "      <th>transport</th>\n",
       "      <th>other</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>impact</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",
       "      <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>air water impact</th>\n",
       "      <td>4354.677050</td>\n",
       "      <td>384.125264</td>\n",
       "      <td>211698.404833</td>\n",
       "      <td>23912.313854</td>\n",
       "      <td>7032.640535</td>\n",
       "      <td>8548.387702</td>\n",
       "      <td>22000.497397</td>\n",
       "      <td>40123.553814</td>\n",
       "      <td>3800.328439</td>\n",
       "      <td>42.024811</td>\n",
       "      <td>...</td>\n",
       "      <td>88433.836812</td>\n",
       "      <td>30080.437653</td>\n",
       "      <td>34765.284482</td>\n",
       "      <td>3227.857425</td>\n",
       "      <td>153582.938963</td>\n",
       "      <td>74236.159458</td>\n",
       "      <td>4580.343177</td>\n",
       "      <td>139321.814038</td>\n",
       "      <td>104944.664681</td>\n",
       "      <td>118394.939263</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>total air emissions</th>\n",
       "      <td>2056.183383</td>\n",
       "      <td>179.423536</td>\n",
       "      <td>97493.003893</td>\n",
       "      <td>11887.591799</td>\n",
       "      <td>3342.905658</td>\n",
       "      <td>3885.883601</td>\n",
       "      <td>10750.267281</td>\n",
       "      <td>15821.524280</td>\n",
       "      <td>1793.337828</td>\n",
       "      <td>19.145605</td>\n",
       "      <td>...</td>\n",
       "      <td>42095.049614</td>\n",
       "      <td>11386.614919</td>\n",
       "      <td>15172.354999</td>\n",
       "      <td>1345.317901</td>\n",
       "      <td>71450.748974</td>\n",
       "      <td>36831.672907</td>\n",
       "      <td>1836.695857</td>\n",
       "      <td>42415.684852</td>\n",
       "      <td>48054.090102</td>\n",
       "      <td>36022.975074</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>2 rows × 48 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "region                      reg1                                           \\\n",
       "sector                      food      mining  manufactoring   electricity   \n",
       "impact                                                                      \n",
       "air water impact     4354.677050  384.125264  211698.404833  23912.313854   \n",
       "total air emissions  2056.183383  179.423536   97493.003893  11887.591799   \n",
       "\n",
       "region                                                                     \\\n",
       "sector              construction        trade     transport         other   \n",
       "impact                                                                      \n",
       "air water impact     7032.640535  8548.387702  22000.497397  40123.553814   \n",
       "total air emissions  3342.905658  3885.883601  10750.267281  15821.524280   \n",
       "\n",
       "region                      reg2             ...          reg5                \\\n",
       "sector                      food     mining  ...     transport         other   \n",
       "impact                                       ...                               \n",
       "air water impact     3800.328439  42.024811  ...  88433.836812  30080.437653   \n",
       "total air emissions  1793.337828  19.145605  ...  42095.049614  11386.614919   \n",
       "\n",
       "region                       reg6                                            \\\n",
       "sector                       food       mining  manufactoring   electricity   \n",
       "impact                                                                        \n",
       "air water impact     34765.284482  3227.857425  153582.938963  74236.159458   \n",
       "total air emissions  15172.354999  1345.317901   71450.748974  36831.672907   \n",
       "\n",
       "region                                                                         \n",
       "sector              construction          trade      transport          other  \n",
       "impact                                                                         \n",
       "air water impact     4580.343177  139321.814038  104944.664681  118394.939263  \n",
       "total air emissions  1836.695857   42415.684852   48054.090102   36022.975074  \n",
       "\n",
       "[2 rows x 48 columns]"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "io_aly.impacts.D_cba"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Whereas coefficient accounts (M, S) are removed:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "io_aly.impacts.M"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To calculated these use"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "\n",
       "    .dataframe thead tr:last-of-type th {\n",
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr>\n",
       "      <th>region</th>\n",
       "      <th colspan=\"8\" halign=\"left\">reg1</th>\n",
       "      <th colspan=\"2\" halign=\"left\">reg2</th>\n",
       "      <th>...</th>\n",
       "      <th colspan=\"2\" halign=\"left\">reg5</th>\n",
       "      <th colspan=\"8\" halign=\"left\">reg6</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>sector</th>\n",
       "      <th>food</th>\n",
       "      <th>mining</th>\n",
       "      <th>manufactoring</th>\n",
       "      <th>electricity</th>\n",
       "      <th>construction</th>\n",
       "      <th>trade</th>\n",
       "      <th>transport</th>\n",
       "      <th>other</th>\n",
       "      <th>food</th>\n",
       "      <th>mining</th>\n",
       "      <th>...</th>\n",
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       "      <th>other</th>\n",
       "      <th>food</th>\n",
       "      <th>mining</th>\n",
       "      <th>manufactoring</th>\n",
       "      <th>electricity</th>\n",
       "      <th>construction</th>\n",
       "      <th>trade</th>\n",
       "      <th>transport</th>\n",
       "      <th>other</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>impact</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",
       "      <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>air water impact</th>\n",
       "      <td>0.022428</td>\n",
       "      <td>0.052572</td>\n",
       "      <td>0.000259</td>\n",
       "      <td>0.225083</td>\n",
       "      <td>0.000295</td>\n",
       "      <td>0.000092</td>\n",
       "      <td>0.000952</td>\n",
       "      <td>0.000291</td>\n",
       "      <td>0.000092</td>\n",
       "      <td>0.016122</td>\n",
       "      <td>...</td>\n",
       "      <td>0.007839</td>\n",
       "      <td>0.000481</td>\n",
       "      <td>0.000976</td>\n",
       "      <td>0.018407</td>\n",
       "      <td>0.000949</td>\n",
       "      <td>0.447245</td>\n",
       "      <td>0.007421</td>\n",
       "      <td>0.003222</td>\n",
       "      <td>0.001553</td>\n",
       "      <td>0.000739</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>total air emissions</th>\n",
       "      <td>0.010865</td>\n",
       "      <td>0.025999</td>\n",
       "      <td>0.000127</td>\n",
       "      <td>0.111897</td>\n",
       "      <td>0.000140</td>\n",
       "      <td>0.000042</td>\n",
       "      <td>0.000465</td>\n",
       "      <td>0.000132</td>\n",
       "      <td>0.000044</td>\n",
       "      <td>0.007718</td>\n",
       "      <td>...</td>\n",
       "      <td>0.003733</td>\n",
       "      <td>0.000182</td>\n",
       "      <td>0.000426</td>\n",
       "      <td>0.008250</td>\n",
       "      <td>0.000450</td>\n",
       "      <td>0.221901</td>\n",
       "      <td>0.002975</td>\n",
       "      <td>0.001207</td>\n",
       "      <td>0.000711</td>\n",
       "      <td>0.000277</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>2 rows × 48 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "region                   reg1                                      \\\n",
       "sector                   food    mining manufactoring electricity   \n",
       "impact                                                              \n",
       "air water impact     0.022428  0.052572      0.000259    0.225083   \n",
       "total air emissions  0.010865  0.025999      0.000127    0.111897   \n",
       "\n",
       "region                                                              reg2  \\\n",
       "sector              construction     trade transport     other      food   \n",
       "impact                                                                     \n",
       "air water impact        0.000295  0.000092  0.000952  0.000291  0.000092   \n",
       "total air emissions     0.000140  0.000042  0.000465  0.000132  0.000044   \n",
       "\n",
       "region                         ...      reg5                reg6            \\\n",
       "sector                 mining  ... transport     other      food    mining   \n",
       "impact                         ...                                           \n",
       "air water impact     0.016122  ...  0.007839  0.000481  0.000976  0.018407   \n",
       "total air emissions  0.007718  ...  0.003733  0.000182  0.000426  0.008250   \n",
       "\n",
       "region                                                                \\\n",
       "sector              manufactoring electricity construction     trade   \n",
       "impact                                                                 \n",
       "air water impact         0.000949    0.447245     0.007421  0.003222   \n",
       "total air emissions      0.000450    0.221901     0.002975  0.001207   \n",
       "\n",
       "region                                   \n",
       "sector              transport     other  \n",
       "impact                                   \n",
       "air water impact     0.001553  0.000739  \n",
       "total air emissions  0.000711  0.000277  \n",
       "\n",
       "[2 rows x 48 columns]"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "io_aly.calc_all()\n",
    "io_aly.impacts.M"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "which will calculate the missing accounts."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For these calculations, the characterized accounts can also be used outside\n",
    "the MRIO system. Thus:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING:root:Impact >total emissions< removed - calculation requires stressors not present in extension >Emissions<\n"
     ]
    }
   ],
   "source": [
    "independent_extension = io_aly.emissions.characterize(charact_table, name=\"impacts_new\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "pymrio.core.mriosystem.Extension"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "type(independent_extension)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "independent_extension.M"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "independent_extension_calc = independent_extension.calc_system(x=io_aly.x, Y=io_aly.Y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead tr th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe thead tr:last-of-type th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr>\n",
       "      <th>region</th>\n",
       "      <th colspan=\"8\" halign=\"left\">reg1</th>\n",
       "      <th colspan=\"2\" halign=\"left\">reg2</th>\n",
       "      <th>...</th>\n",
       "      <th colspan=\"2\" halign=\"left\">reg5</th>\n",
       "      <th colspan=\"8\" halign=\"left\">reg6</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>sector</th>\n",
       "      <th>food</th>\n",
       "      <th>mining</th>\n",
       "      <th>manufactoring</th>\n",
       "      <th>electricity</th>\n",
       "      <th>construction</th>\n",
       "      <th>trade</th>\n",
       "      <th>transport</th>\n",
       "      <th>other</th>\n",
       "      <th>food</th>\n",
       "      <th>mining</th>\n",
       "      <th>...</th>\n",
       "      <th>transport</th>\n",
       "      <th>other</th>\n",
       "      <th>food</th>\n",
       "      <th>mining</th>\n",
       "      <th>manufactoring</th>\n",
       "      <th>electricity</th>\n",
       "      <th>construction</th>\n",
       "      <th>trade</th>\n",
       "      <th>transport</th>\n",
       "      <th>other</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>impact</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",
       "      <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>air water impact</th>\n",
       "      <td>0.022428</td>\n",
       "      <td>0.052572</td>\n",
       "      <td>0.000259</td>\n",
       "      <td>0.225083</td>\n",
       "      <td>0.000295</td>\n",
       "      <td>0.000092</td>\n",
       "      <td>0.000952</td>\n",
       "      <td>0.000291</td>\n",
       "      <td>0.000092</td>\n",
       "      <td>0.016122</td>\n",
       "      <td>...</td>\n",
       "      <td>0.007839</td>\n",
       "      <td>0.000481</td>\n",
       "      <td>0.000976</td>\n",
       "      <td>0.018407</td>\n",
       "      <td>0.000949</td>\n",
       "      <td>0.447245</td>\n",
       "      <td>0.007421</td>\n",
       "      <td>0.003222</td>\n",
       "      <td>0.001553</td>\n",
       "      <td>0.000739</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>total air emissions</th>\n",
       "      <td>0.010865</td>\n",
       "      <td>0.025999</td>\n",
       "      <td>0.000127</td>\n",
       "      <td>0.111897</td>\n",
       "      <td>0.000140</td>\n",
       "      <td>0.000042</td>\n",
       "      <td>0.000465</td>\n",
       "      <td>0.000132</td>\n",
       "      <td>0.000044</td>\n",
       "      <td>0.007718</td>\n",
       "      <td>...</td>\n",
       "      <td>0.003733</td>\n",
       "      <td>0.000182</td>\n",
       "      <td>0.000426</td>\n",
       "      <td>0.008250</td>\n",
       "      <td>0.000450</td>\n",
       "      <td>0.221901</td>\n",
       "      <td>0.002975</td>\n",
       "      <td>0.001207</td>\n",
       "      <td>0.000711</td>\n",
       "      <td>0.000277</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>2 rows × 48 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "region                   reg1                                      \\\n",
       "sector                   food    mining manufactoring electricity   \n",
       "impact                                                              \n",
       "air water impact     0.022428  0.052572      0.000259    0.225083   \n",
       "total air emissions  0.010865  0.025999      0.000127    0.111897   \n",
       "\n",
       "region                                                              reg2  \\\n",
       "sector              construction     trade transport     other      food   \n",
       "impact                                                                     \n",
       "air water impact        0.000295  0.000092  0.000952  0.000291  0.000092   \n",
       "total air emissions     0.000140  0.000042  0.000465  0.000132  0.000044   \n",
       "\n",
       "region                         ...      reg5                reg6            \\\n",
       "sector                 mining  ... transport     other      food    mining   \n",
       "impact                         ...                                           \n",
       "air water impact     0.016122  ...  0.007839  0.000481  0.000976  0.018407   \n",
       "total air emissions  0.007718  ...  0.003733  0.000182  0.000426  0.008250   \n",
       "\n",
       "region                                                                \\\n",
       "sector              manufactoring electricity construction     trade   \n",
       "impact                                                                 \n",
       "air water impact         0.000949    0.447245     0.007421  0.003222   \n",
       "total air emissions      0.000450    0.221901     0.002975  0.001207   \n",
       "\n",
       "region                                   \n",
       "sector              transport     other  \n",
       "impact                                   \n",
       "air water impact     0.001553  0.000739  \n",
       "total air emissions  0.000711  0.000277  \n",
       "\n",
       "[2 rows x 48 columns]"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "independent_extension.M"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Inspecting the used characterization table"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Pymrio automatically adjust the characterization table by removing accounts\n",
    "which can not be calculated using a given extension. The removed accounts are\n",
    "reported through a warning message (e.g. \"WARNING:root:Impact >total\n",
    "emissions< removed - calculation requires stressors not present in extension\n",
    ">Emissions<\" in the examples above).\n",
    "\n",
    "It is also possible, to obtain the cleaned characterization-table for\n",
    "inspection and further use. To do so:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING:root:Impact >total emissions< removed - calculation requires stressors not present in extension >Emissions<\n"
     ]
    }
   ],
   "source": [
    "impacts = io.emissions.characterize(\n",
    "    charact_table, name=\"impacts\", return_char_matrix=True\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This changes the return type from a pymrio.Extension to a named tuple"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "pymrio.core.mriosystem.characterization"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "type(impacts)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "with"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<pymrio.core.mriosystem.Extension at 0x7f37e35c02e0>"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "impacts.extension"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "and"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>stressor</th>\n",
       "      <th>compartment</th>\n",
       "      <th>impact</th>\n",
       "      <th>factor</th>\n",
       "      <th>impact_unit</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>emission_type1</td>\n",
       "      <td>air</td>\n",
       "      <td>air water impact</td>\n",
       "      <td>0.002</td>\n",
       "      <td>t</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>emission_type2</td>\n",
       "      <td>water</td>\n",
       "      <td>air water impact</td>\n",
       "      <td>0.001</td>\n",
       "      <td>t</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>emission_type1</td>\n",
       "      <td>air</td>\n",
       "      <td>total air emissions</td>\n",
       "      <td>0.001</td>\n",
       "      <td>t</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "         stressor compartment               impact  factor impact_unit\n",
       "0  emission_type1         air     air water impact   0.002           t\n",
       "1  emission_type2       water     air water impact   0.001           t\n",
       "5  emission_type1         air  total air emissions   0.001           t"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "impacts.factors"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The latter is the characterization table used for the calculation.\n",
    "\n",
    "For further information see the characterization docstring:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "lines_to_next_cell": 2
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Characterize stressors\n",
      "\n",
      "        Characterizes the extension with the characterization factors given in factors.\n",
      "        Factors can contain more characterization factors which depend on stressors not\n",
      "        present in the Extension - these will be automatically removed.\n",
      "\n",
      "        Note\n",
      "        ----\n",
      "        Accordance of units is not checked - you must ensure that the\n",
      "        characterization factors correspond to the units of the extension to be\n",
      "        characterized.\n",
      "\n",
      "        Parameters\n",
      "        -----------\n",
      "        factors: pd.DataFrame\n",
      "            A dataframe in long format with numerical index and columns named\n",
      "            index.names of the extension to be characterized and\n",
      "            'characterized_name_column', 'characterization_factors_column',\n",
      "            'characterized_unit_column'\n",
      "\n",
      "        characterized_name_column: str (optional)\n",
      "            Name of the column with the names of the\n",
      "            characterized account (default: \"impact\")\n",
      "\n",
      "        characterization_factors_column: str (optional)\n",
      "            Name of the column with the factors for the\n",
      "            characterization (default: \"factor\")\n",
      "\n",
      "        characterized_unit_column: str (optional)\n",
      "            Name of the column with the units of the characterized accounts\n",
      "            characterization (default: \"impact_unit\")\n",
      "\n",
      "        name: string (optional)\n",
      "            The new name for the extension,\n",
      "            if None (default): name of the current extension with suffix\n",
      "            '_characterized'\n",
      "\n",
      "        return_char_matrix: boolean (optional)\n",
      "            If False (default), returns just the characterized extension.\n",
      "            If True, returns a namedtuple with extension and the actually used\n",
      "            characterization matrix.\n",
      "\n",
      "        _meta: MRIOMetaData, optional\n",
      "            Metadata handler for logging, optional. Internal\n",
      "\n",
      "        Returns\n",
      "        --------\n",
      "        pymrio.Extensions or\n",
      "        namedtuple with (extension: pymrio.Extension, factors: pd.DataFrame)\n",
      "        depending on return_char_matrix. Only the factors used for the calculation\n",
      "        are returned.\n",
      "\n",
      "        \n"
     ]
    }
   ],
   "source": [
    "print(io.emissions.characterize.__doc__)"
   ]
  }
 ],
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