diff --git a/module3/exo3/exercice.ipynb b/module3/exo3/exercice.ipynb index 300fefcbb7f6b70f28dd3112b7a372c69a5e2b5e..3c2371dc267dc22d11e4fd1b55e51360d2658d84 100644 --- a/module3/exo3/exercice.ipynb +++ b/module3/exo3/exercice.ipynb @@ -72,7 +72,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ @@ -88,7 +88,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ @@ -97,7 +97,7 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 5, "metadata": {}, "outputs": [ { @@ -113,7 +113,7 @@ "10" ] }, - "execution_count": 19, + "execution_count": 5, "metadata": {}, "output_type": "execute_result" } @@ -144,7 +144,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 6, "metadata": {}, "outputs": [], "source": [ @@ -153,7 +153,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 7, "metadata": {}, "outputs": [ { @@ -1181,7 +1181,7 @@ "[782 rows x 10 columns]" ] }, - "execution_count": 21, + "execution_count": 7, "metadata": {}, "output_type": "execute_result" } @@ -1199,7 +1199,7 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 8, "metadata": {}, "outputs": [], "source": [ @@ -1208,7 +1208,7 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 9, "metadata": {}, "outputs": [ { @@ -2236,7 +2236,7 @@ "[780 rows x 10 columns]" ] }, - "execution_count": 23, + "execution_count": 9, "metadata": {}, "output_type": "execute_result" } @@ -2261,7 +2261,7 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 10, "metadata": {}, "outputs": [ { @@ -2272,7 +2272,7 @@ " dtype=object)" ] }, - "execution_count": 24, + "execution_count": 10, "metadata": {}, "output_type": "execute_result" } @@ -2290,7 +2290,7 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 11, "metadata": {}, "outputs": [], "source": [ @@ -2306,7 +2306,7 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 12, "metadata": {}, "outputs": [ { @@ -2316,7 +2316,7 @@ " '-99.99', '-99.99', '-99.99'], dtype=object)" ] }, - "execution_count": 27, + "execution_count": 12, "metadata": {}, "output_type": "execute_result" } @@ -2334,7 +2334,7 @@ }, { "cell_type": "code", - "execution_count": 28, + "execution_count": 13, "metadata": {}, "outputs": [], "source": [ @@ -2344,7 +2344,7 @@ }, { "cell_type": "code", - "execution_count": 29, + "execution_count": 14, "metadata": {}, "outputs": [ { @@ -2354,7 +2354,7 @@ " dtype=object)" ] }, - "execution_count": 29, + "execution_count": 14, "metadata": {}, "output_type": "execute_result" } @@ -2365,7 +2365,7 @@ }, { "cell_type": "code", - "execution_count": 30, + "execution_count": 15, "metadata": {}, "outputs": [ { @@ -2375,7 +2375,7 @@ " '415.82', '418.95', '415.55'], dtype=object)" ] }, - "execution_count": 30, + "execution_count": 15, "metadata": {}, "output_type": "execute_result" } @@ -2393,7 +2393,7 @@ }, { "cell_type": "code", - "execution_count": 34, + "execution_count": 16, "metadata": {}, "outputs": [], "source": [ @@ -2402,7 +2402,7 @@ }, { "cell_type": "code", - "execution_count": 36, + "execution_count": 17, "metadata": {}, "outputs": [ { @@ -2472,7 +2472,7 @@ "Name: seasonally adjusted filled, Length: 780, dtype: float64" ] }, - "execution_count": 36, + "execution_count": 17, "metadata": {}, "output_type": "execute_result" } @@ -2485,19 +2485,19 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Dans l'entête du document, on peut lire \"The monthly values have been adjusted to 24:00 hours on the 15th of each month.'. Nous prenons donc comme référence le 15 de chaque mois." + "Dans l'entête du document, on peut lire \"The monthly values have been adjusted to 24:00 hours on the 15th of each month.'. Cependant, nous prenons comme référence le 1er du mois comme référence, car cela sera sans conséquence pour la suite." ] }, { "cell_type": "code", - "execution_count": 39, + "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "[Timestamp('1958-01-15 00:00:00'), Timestamp('1958-02-15 00:00:00'), Timestamp('1958-03-15 00:00:00'), Timestamp('1958-04-15 00:00:00'), Timestamp('1958-05-15 00:00:00'), Timestamp('1958-06-15 00:00:00'), Timestamp('1958-07-15 00:00:00'), Timestamp('1958-08-15 00:00:00'), Timestamp('1958-09-15 00:00:00'), Timestamp('1958-10-15 00:00:00'), Timestamp('1958-11-15 00:00:00'), Timestamp('1958-12-15 00:00:00'), Timestamp('1959-01-15 00:00:00'), Timestamp('1959-02-15 00:00:00'), Timestamp('1959-03-15 00:00:00'), Timestamp('1959-04-15 00:00:00'), Timestamp('1959-05-15 00:00:00'), Timestamp('1959-06-15 00:00:00'), Timestamp('1959-07-15 00:00:00'), Timestamp('1959-08-15 00:00:00'), Timestamp('1959-09-15 00:00:00'), 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Timestamp('2013-03-01 00:00:00'), Timestamp('2013-04-01 00:00:00'), Timestamp('2013-05-01 00:00:00'), Timestamp('2013-06-01 00:00:00'), Timestamp('2013-07-01 00:00:00'), Timestamp('2013-08-01 00:00:00'), Timestamp('2013-09-01 00:00:00'), Timestamp('2013-10-01 00:00:00'), Timestamp('2013-11-01 00:00:00'), Timestamp('2013-12-01 00:00:00'), Timestamp('2014-01-01 00:00:00'), Timestamp('2014-02-01 00:00:00'), Timestamp('2014-03-01 00:00:00'), Timestamp('2014-04-01 00:00:00'), Timestamp('2014-05-01 00:00:00'), Timestamp('2014-06-01 00:00:00'), Timestamp('2014-07-01 00:00:00'), Timestamp('2014-08-01 00:00:00'), Timestamp('2014-09-01 00:00:00'), Timestamp('2014-10-01 00:00:00'), Timestamp('2014-11-01 00:00:00'), Timestamp('2014-12-01 00:00:00'), Timestamp('2015-01-01 00:00:00'), Timestamp('2015-02-01 00:00:00'), Timestamp('2015-03-01 00:00:00'), Timestamp('2015-04-01 00:00:00'), Timestamp('2015-05-01 00:00:00'), Timestamp('2015-06-01 00:00:00'), Timestamp('2015-07-01 00:00:00'), Timestamp('2015-08-01 00:00:00'), Timestamp('2015-09-01 00:00:00'), Timestamp('2015-10-01 00:00:00'), Timestamp('2015-11-01 00:00:00'), Timestamp('2015-12-01 00:00:00'), Timestamp('2016-01-01 00:00:00'), Timestamp('2016-02-01 00:00:00'), Timestamp('2016-03-01 00:00:00'), Timestamp('2016-04-01 00:00:00'), Timestamp('2016-05-01 00:00:00'), Timestamp('2016-06-01 00:00:00'), Timestamp('2016-07-01 00:00:00'), Timestamp('2016-08-01 00:00:00'), Timestamp('2016-09-01 00:00:00'), Timestamp('2016-10-01 00:00:00'), Timestamp('2016-11-01 00:00:00'), Timestamp('2016-12-01 00:00:00'), Timestamp('2017-01-01 00:00:00'), Timestamp('2017-02-01 00:00:00'), Timestamp('2017-03-01 00:00:00'), Timestamp('2017-04-01 00:00:00'), Timestamp('2017-05-01 00:00:00'), Timestamp('2017-06-01 00:00:00'), Timestamp('2017-07-01 00:00:00'), Timestamp('2017-08-01 00:00:00'), Timestamp('2017-09-01 00:00:00'), Timestamp('2017-10-01 00:00:00'), Timestamp('2017-11-01 00:00:00'), Timestamp('2017-12-01 00:00:00'), Timestamp('2018-01-01 00:00:00'), Timestamp('2018-02-01 00:00:00'), Timestamp('2018-03-01 00:00:00'), Timestamp('2018-04-01 00:00:00'), Timestamp('2018-05-01 00:00:00'), Timestamp('2018-06-01 00:00:00'), Timestamp('2018-07-01 00:00:00'), Timestamp('2018-08-01 00:00:00'), Timestamp('2018-09-01 00:00:00'), Timestamp('2018-10-01 00:00:00'), Timestamp('2018-11-01 00:00:00'), Timestamp('2018-12-01 00:00:00'), Timestamp('2019-01-01 00:00:00'), Timestamp('2019-02-01 00:00:00'), Timestamp('2019-03-01 00:00:00'), Timestamp('2019-04-01 00:00:00'), Timestamp('2019-05-01 00:00:00'), Timestamp('2019-06-01 00:00:00'), Timestamp('2019-07-01 00:00:00'), Timestamp('2019-08-01 00:00:00'), Timestamp('2019-09-01 00:00:00'), Timestamp('2019-10-01 00:00:00'), Timestamp('2019-11-01 00:00:00'), Timestamp('2019-12-01 00:00:00'), Timestamp('2020-01-01 00:00:00'), Timestamp('2020-02-01 00:00:00'), Timestamp('2020-03-01 00:00:00'), Timestamp('2020-04-01 00:00:00'), Timestamp('2020-05-01 00:00:00'), Timestamp('2020-06-01 00:00:00'), Timestamp('2020-07-01 00:00:00'), Timestamp('2020-08-01 00:00:00'), Timestamp('2020-09-01 00:00:00'), Timestamp('2020-10-01 00:00:00'), Timestamp('2020-11-01 00:00:00'), Timestamp('2020-12-01 00:00:00'), Timestamp('2021-01-01 00:00:00'), Timestamp('2021-02-01 00:00:00'), Timestamp('2021-03-01 00:00:00'), Timestamp('2021-04-01 00:00:00'), Timestamp('2021-05-01 00:00:00'), Timestamp('2021-06-01 00:00:00'), Timestamp('2021-07-01 00:00:00'), Timestamp('2021-08-01 00:00:00'), Timestamp('2021-09-01 00:00:00'), Timestamp('2021-10-01 00:00:00'), Timestamp('2021-11-01 00:00:00'), Timestamp('2021-12-01 00:00:00'), Timestamp('2022-01-01 00:00:00'), Timestamp('2022-02-01 00:00:00'), Timestamp('2022-03-01 00:00:00'), Timestamp('2022-04-01 00:00:00'), Timestamp('2022-05-01 00:00:00'), Timestamp('2022-06-01 00:00:00'), Timestamp('2022-07-01 00:00:00'), Timestamp('2022-08-01 00:00:00'), Timestamp('2022-09-01 00:00:00'), Timestamp('2022-10-01 00:00:00'), Timestamp('2022-11-01 00:00:00'), Timestamp('2022-12-01 00:00:00')]\n" ] } ], @@ -2506,23 +2506,47 @@ "years = data.Yr\n", "months = data.Mn\n", "for year, month in zip(years, months):\n", - " date = pd.Timestamp(year=int(year), month=int(month), day=15)\n", + " date = pd.Timestamp(year=int(year), month=int(month), day=1)\n", " dates.append(date)\n", "print(dates)" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On va utiliser ces dates comme index de notre DataFrame." + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [], + "source": [ + "data['date'] = dates\n", + "data.set_index('date', inplace=True)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Nous allons aussi retirer toutes les lignes avec des valeurs 'Nan' dans cette dernière colonne." + ] + }, { "cell_type": "code", - "execution_count": 40, + "execution_count": 20, "metadata": {}, "outputs": [], "source": [ - "data['date'] = dates" + "data = data[data['seasonally adjusted filled'].notna()]" ] }, { "cell_type": "code", - "execution_count": 41, + "execution_count": 21, "metadata": {}, "outputs": [ { @@ -2556,40 +2580,24 @@ " seasonally adjusted fit\n", " CO2 filled\n", " seasonally adjusted filled\n", + " \n", + " \n", " date\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", " \n", " \n", " \n", " \n", - " 0\n", - " 1958\n", - " 01\n", - " 21200\n", - " 1958.0411\n", - " NaN\n", - " NaN\n", - " NaN\n", - " NaN\n", - " NaN\n", - " NaN\n", - " 1958-01-15\n", - " \n", - " \n", - " 1\n", - " 1958\n", - " 02\n", - " 21231\n", - " 1958.1260\n", - " NaN\n", - " NaN\n", - " NaN\n", - " NaN\n", - " NaN\n", - " NaN\n", - " 1958-02-15\n", - " \n", - " \n", - " 2\n", + " 1958-03-01\n", " 1958\n", " 03\n", " 21259\n", @@ -2600,10 +2608,9 @@ " 314.91\n", " 315.71\n", " 314.44\n", - " 1958-03-15\n", " \n", " \n", - " 3\n", + " 1958-04-01\n", " 1958\n", " 04\n", " 21290\n", @@ -2614,10 +2621,9 @@ " 314.99\n", " 317.45\n", " 315.16\n", - " 1958-04-15\n", " \n", " \n", - " 4\n", + " 1958-05-01\n", " 1958\n", " 05\n", " 21320\n", @@ -2628,10 +2634,9 @@ " 315.06\n", " 317.51\n", " 314.70\n", - " 1958-05-15\n", " \n", " \n", - " 5\n", + " 1958-06-01\n", " 1958\n", " 06\n", " 21351\n", @@ -2642,10 +2647,9 @@ " 315.14\n", " 317.25\n", " 315.14\n", - " 1958-06-15\n", " \n", " \n", - " 6\n", + " 1958-07-01\n", " 1958\n", " 07\n", " 21381\n", @@ -2656,10 +2660,9 @@ " 315.22\n", " 315.86\n", " 315.20\n", - " 1958-07-15\n", " \n", " \n", - " 7\n", + " 1958-08-01\n", " 1958\n", " 08\n", " 21412\n", @@ -2670,10 +2673,9 @@ " 315.29\n", " 314.93\n", " 316.21\n", - " 1958-08-15\n", " \n", " \n", - " 8\n", + " 1958-09-01\n", " 1958\n", " 09\n", " 21443\n", @@ -2684,10 +2686,9 @@ " 315.35\n", " 313.21\n", " 316.10\n", - " 1958-09-15\n", " \n", " \n", - " 9\n", + " 1958-10-01\n", " 1958\n", " 10\n", " 21473\n", @@ -2698,10 +2699,9 @@ " 315.40\n", " 312.43\n", " 315.40\n", - " 1958-10-15\n", " \n", " \n", - " 10\n", + " 1958-11-01\n", " 1958\n", " 11\n", " 21504\n", @@ -2712,10 +2712,9 @@ " 315.46\n", " 313.33\n", " 315.20\n", - " 1958-11-15\n", " \n", " \n", - " 11\n", + " 1958-12-01\n", " 1958\n", " 12\n", " 21534\n", @@ -2726,10 +2725,9 @@ " 315.51\n", " 314.67\n", " 315.43\n", - " 1958-12-15\n", " \n", " \n", - " 12\n", + " 1959-01-01\n", " 1959\n", " 01\n", " 21565\n", @@ -2740,10 +2738,9 @@ " 315.57\n", " 315.58\n", " 315.52\n", - " 1959-01-15\n", " \n", " \n", - " 13\n", + " 1959-02-01\n", " 1959\n", " 02\n", " 21596\n", @@ -2754,10 +2751,9 @@ " 315.63\n", " 316.49\n", " 315.84\n", - " 1959-02-15\n", " \n", " \n", - " 14\n", + " 1959-03-01\n", " 1959\n", " 03\n", " 21624\n", @@ -2768,10 +2764,9 @@ " 315.69\n", " 316.65\n", " 315.37\n", - " 1959-03-15\n", " \n", " \n", - " 15\n", + " 1959-04-01\n", " 1959\n", " 04\n", " 21655\n", @@ -2782,10 +2777,9 @@ " 315.76\n", " 317.72\n", " 315.42\n", - " 1959-04-15\n", " \n", " \n", - " 16\n", + " 1959-05-01\n", " 1959\n", " 05\n", " 21685\n", @@ -2796,10 +2790,9 @@ " 315.84\n", " 318.29\n", " 315.48\n", - " 1959-05-15\n", " \n", " \n", - " 17\n", + " 1959-06-01\n", " 1959\n", " 06\n", " 21716\n", @@ -2810,10 +2803,9 @@ " 315.93\n", " 318.15\n", " 316.02\n", - " 1959-06-15\n", " \n", " \n", - " 18\n", + " 1959-07-01\n", " 1959\n", " 07\n", " 21746\n", @@ -2824,10 +2816,9 @@ " 316.02\n", " 316.54\n", " 315.87\n", - " 1959-07-15\n", " \n", " \n", - " 19\n", + " 1959-08-01\n", " 1959\n", " 08\n", " 21777\n", @@ -2838,10 +2829,9 @@ " 316.12\n", " 314.80\n", " 316.08\n", - " 1959-08-15\n", " \n", " \n", - " 20\n", + " 1959-09-01\n", " 1959\n", " 09\n", " 21808\n", @@ -2852,10 +2842,9 @@ " 316.21\n", " 313.84\n", " 316.74\n", - " 1959-09-15\n", " \n", " \n", - " 21\n", + " 1959-10-01\n", " 1959\n", " 10\n", " 21838\n", @@ -2866,10 +2855,9 @@ " 316.30\n", " 313.33\n", " 316.33\n", - " 1959-10-15\n", " \n", " \n", - " 22\n", + " 1959-11-01\n", " 1959\n", " 11\n", " 21869\n", @@ -2880,10 +2868,9 @@ " 316.39\n", " 314.81\n", " 316.69\n", - " 1959-11-15\n", " \n", " \n", - " 23\n", + " 1959-12-01\n", " 1959\n", " 12\n", " 21899\n", @@ -2894,10 +2881,9 @@ " 316.47\n", " 315.58\n", " 316.35\n", - " 1959-12-15\n", " \n", " \n", - " 24\n", + " 1960-01-01\n", " 1960\n", " 01\n", " 21930\n", @@ -2908,10 +2894,9 @@ " 316.55\n", " 316.43\n", " 316.37\n", - " 1960-01-15\n", " \n", " \n", - " 25\n", + " 1960-02-01\n", " 1960\n", " 02\n", " 21961\n", @@ -2922,10 +2907,9 @@ " 316.63\n", " 316.98\n", " 316.33\n", - " 1960-02-15\n", " \n", " \n", - " 26\n", + " 1960-03-01\n", " 1960\n", " 03\n", " 21990\n", @@ -2936,10 +2920,9 @@ " 316.71\n", " 317.58\n", " 316.27\n", - " 1960-03-15\n", " \n", " \n", - " 27\n", + " 1960-04-01\n", " 1960\n", " 04\n", " 22021\n", @@ -2950,10 +2933,9 @@ " 316.79\n", " 319.03\n", " 316.70\n", - " 1960-04-15\n", " \n", " \n", - " 28\n", + " 1960-05-01\n", " 1960\n", " 05\n", " 22051\n", @@ -2964,10 +2946,9 @@ " 316.86\n", " 320.03\n", " 317.21\n", - " 1960-05-15\n", " \n", " \n", - " 29\n", + " 1960-06-01\n", " 1960\n", " 06\n", " 22082\n", @@ -2978,7 +2959,32 @@ " 316.92\n", " 319.58\n", " 317.46\n", - " 1960-06-15\n", + " \n", + " \n", + " 1960-07-01\n", + " 1960\n", + " 07\n", + " 22112\n", + " 1960.5383\n", + " 318.18\n", + " 317.53\n", + " 317.59\n", + " 316.97\n", + " 318.18\n", + " 317.53\n", + " \n", + " \n", + " 1960-08-01\n", + " 1960\n", + " 08\n", + " 22143\n", + " 1960.6230\n", + " 315.90\n", + " 317.22\n", + " 315.67\n", + " 317.01\n", + " 315.90\n", + " 317.22\n", " \n", " \n", " ...\n", @@ -2992,10 +2998,113 @@ " ...\n", " ...\n", " ...\n", - " ...\n", " \n", " \n", - " 750\n", + " 2019-11-01\n", + " 2019\n", + " 11\n", + " 43784\n", + " 2019.8740\n", + " 410.16\n", + " 412.43\n", + " 410.15\n", + " 412.39\n", + " 410.16\n", + " 412.43\n", + " \n", + " \n", + " 2019-12-01\n", + " 2019\n", + " 12\n", + " 43814\n", + " 2019.9562\n", + " 411.81\n", + " 412.74\n", + " 411.69\n", + " 412.60\n", + " 411.81\n", + " 412.74\n", + " \n", + " \n", + " 2020-01-01\n", + " 2020\n", + " 01\n", + " 43845\n", + " 2020.0410\n", + " 413.30\n", + " 413.24\n", + " 412.90\n", + " 412.82\n", + " 413.30\n", + " 413.24\n", + " \n", + " \n", + " 2020-02-01\n", + " 2020\n", + " 02\n", + " 43876\n", + " 2020.1257\n", + " 414.05\n", + " 413.27\n", + " 413.81\n", + " 413.03\n", + " 414.05\n", + " 413.27\n", + " \n", + " \n", + " 2020-03-01\n", + " 2020\n", + " 03\n", + " 43905\n", + " 2020.2049\n", + " 414.45\n", + " 412.88\n", + " 414.80\n", + " 413.22\n", + " 414.45\n", + " 412.88\n", + " \n", + " \n", + " 2020-04-01\n", + " 2020\n", + " 04\n", + " 43936\n", + " 2020.2896\n", + " 416.11\n", + " 413.31\n", + " 416.24\n", + " 413.42\n", + " 416.11\n", + " 413.31\n", + " \n", + " \n", + " 2020-05-01\n", + " 2020\n", + " 05\n", + " 43966\n", + " 2020.3716\n", + " 417.15\n", + " 413.76\n", + " 417.01\n", + " 413.62\n", + " 417.15\n", + " 413.76\n", + " \n", + " \n", + " 2020-06-01\n", + " 2020\n", + " 06\n", + " 43997\n", + " 2020.4563\n", + " 416.29\n", + " 413.74\n", + " 416.34\n", + " 413.82\n", + " 416.29\n", + " 413.74\n", + " \n", + " \n", + " 2020-07-01\n", " 2020\n", " 07\n", " 44027\n", @@ -3006,10 +3115,9 @@ " 414.01\n", " 414.42\n", " 413.64\n", - " 2020-07-15\n", " \n", " \n", - " 751\n", + " 2020-08-01\n", " 2020\n", " 08\n", " 44058\n", @@ -3020,10 +3128,9 @@ " 414.22\n", " 412.52\n", " 414.10\n", - " 2020-08-15\n", " \n", " \n", - " 752\n", + " 2020-09-01\n", " 2020\n", " 09\n", " 44089\n", @@ -3034,10 +3141,9 @@ " 414.41\n", " 411.18\n", " 414.69\n", - " 2020-09-15\n", " \n", " \n", - " 753\n", + " 2020-10-01\n", " 2020\n", " 10\n", " 44119\n", @@ -3048,10 +3154,9 @@ " 414.60\n", " 411.12\n", " 414.73\n", - " 2020-10-15\n", " \n", " \n", - " 754\n", + " 2020-11-01\n", " 2020\n", " 11\n", " 44150\n", @@ -3062,10 +3167,9 @@ " 414.79\n", " 412.88\n", " 415.15\n", - " 2020-11-15\n", " \n", " \n", - " 755\n", + " 2020-12-01\n", " 2020\n", " 12\n", " 44180\n", @@ -3076,10 +3180,9 @@ " 414.97\n", " 413.89\n", " 414.81\n", - " 2020-12-15\n", " \n", " \n", - " 756\n", + " 2021-01-01\n", " 2021\n", " 01\n", " 44211\n", @@ -3090,10 +3193,9 @@ " 415.15\n", " 415.15\n", " 415.08\n", - " 2021-01-15\n", " \n", " \n", - " 757\n", + " 2021-02-01\n", " 2021\n", " 02\n", " 44242\n", @@ -3104,10 +3206,9 @@ " 415.32\n", " 416.47\n", " 415.69\n", - " 2021-02-15\n", " \n", " \n", - " 758\n", + " 2021-03-01\n", " 2021\n", " 03\n", " 44270\n", @@ -3118,10 +3219,9 @@ " 415.48\n", " 417.16\n", " 415.62\n", - " 2021-03-15\n", " \n", " \n", - " 759\n", + " 2021-04-01\n", " 2021\n", " 04\n", " 44301\n", @@ -3132,10 +3232,9 @@ " 415.65\n", " 418.24\n", " 415.46\n", - " 2021-04-15\n", " \n", " \n", - " 760\n", + " 2021-05-01\n", " 2021\n", " 05\n", " 44331\n", @@ -3146,10 +3245,9 @@ " 415.82\n", " 418.95\n", " 415.55\n", - " 2021-05-15\n", " \n", " \n", - " 761\n", + " 2021-06-01\n", " 2021\n", " 06\n", " 44362\n", @@ -3160,10 +3258,9 @@ " 416.00\n", " 418.70\n", " 416.12\n", - " 2021-06-15\n", " \n", " \n", - " 762\n", + " 2021-07-01\n", " 2021\n", " 07\n", " 44392\n", @@ -3174,10 +3271,9 @@ " 416.18\n", " 416.65\n", " 415.84\n", - " 2021-07-15\n", " \n", " \n", - " 763\n", + " 2021-08-01\n", " 2021\n", " 08\n", " 44423\n", @@ -3188,10 +3284,9 @@ " 416.37\n", " 414.34\n", " 415.89\n", - " 2021-08-15\n", " \n", " \n", - " 764\n", + " 2021-09-01\n", " 2021\n", " 09\n", " 44454\n", @@ -3202,10 +3297,9 @@ " 416.57\n", " 412.90\n", " 416.42\n", - " 2021-09-15\n", " \n", " \n", - " 765\n", + " 2021-10-01\n", " 2021\n", " 10\n", " 44484\n", @@ -3216,10 +3310,9 @@ " 416.76\n", " 413.55\n", " 417.17\n", - " 2021-10-15\n", " \n", " \n", - " 766\n", + " 2021-11-01\n", " 2021\n", " 11\n", " 44515\n", @@ -3230,10 +3323,9 @@ " 416.95\n", " 414.82\n", " 417.09\n", - " 2021-11-15\n", " \n", " \n", - " 767\n", + " 2021-12-01\n", " 2021\n", " 12\n", " 44545\n", @@ -3244,10 +3336,9 @@ " 417.12\n", " 416.43\n", " 417.36\n", - " 2021-12-15\n", " \n", " \n", - " 768\n", + " 2022-01-01\n", " 2022\n", " 01\n", " 44576\n", @@ -3258,10 +3349,9 @@ " 417.28\n", " 418.01\n", " 417.94\n", - " 2022-01-15\n", " \n", " \n", - " 769\n", + " 2022-02-01\n", " 2022\n", " 02\n", " 44607\n", @@ -3272,10 +3362,9 @@ " 417.43\n", " 418.99\n", " 418.20\n", - " 2022-02-15\n", " \n", " \n", - " 770\n", + " 2022-03-01\n", " 2022\n", " 03\n", " 44635\n", @@ -3286,10 +3375,9 @@ " 417.56\n", " 418.45\n", " 416.90\n", - " 2022-03-15\n", " \n", " \n", - " 771\n", + " 2022-04-01\n", " 2022\n", " 04\n", " 44666\n", @@ -3300,256 +3388,1199 @@ " NaN\n", " 420.02\n", " 417.23\n", - " 2022-04-15\n", - " \n", - " \n", - " 772\n", - " 2022\n", - " 05\n", - " 44696\n", - " 2022.3699\n", - " NaN\n", - " NaN\n", - " NaN\n", - " NaN\n", - " NaN\n", - " NaN\n", - " 2022-05-15\n", - " \n", - " \n", - " 773\n", - " 2022\n", - " 06\n", - " 44727\n", - " 2022.4548\n", - " NaN\n", - " NaN\n", - " NaN\n", - " NaN\n", - " NaN\n", - " NaN\n", - " 2022-06-15\n", - " \n", - " \n", - " 774\n", - " 2022\n", - " 07\n", - " 44757\n", - " 2022.5370\n", - " NaN\n", - " NaN\n", - " NaN\n", - " NaN\n", - " NaN\n", - " NaN\n", - " 2022-07-15\n", - " \n", - " \n", - " 775\n", - " 2022\n", - " 08\n", - " 44788\n", - " 2022.6219\n", - " NaN\n", - " NaN\n", - " NaN\n", - " NaN\n", - " NaN\n", - " NaN\n", - " 2022-08-15\n", - " \n", - " \n", - " 776\n", - " 2022\n", - " 09\n", - " 44819\n", - " 2022.7068\n", - " NaN\n", - " NaN\n", - " NaN\n", - " NaN\n", - " NaN\n", - " NaN\n", - " 2022-09-15\n", - " \n", - " \n", - " 777\n", - " 2022\n", - " 10\n", - " 44849\n", - " 2022.7890\n", - " NaN\n", - " NaN\n", - " NaN\n", - " NaN\n", - " NaN\n", - " NaN\n", - " 2022-10-15\n", - " \n", - " \n", - " 778\n", - " 2022\n", - " 11\n", - " 44880\n", - " 2022.8740\n", - " NaN\n", - " NaN\n", - " NaN\n", - " NaN\n", - " NaN\n", - " NaN\n", - " 2022-11-15\n", " \n", - " \n", - " 779\n", - " 2022\n", + " \n", + "\n", + "

770 rows × 10 columns

\n", + "" + ], + "text/plain": [ + " Yr Mn Date Date CO2 seasonally adjusted fit \\\n", + "date \n", + "1958-03-01 1958 03 21259 1958.2027 315.71 314.44 316.19 \n", + "1958-04-01 1958 04 21290 1958.2877 317.45 315.16 317.29 \n", + "1958-05-01 1958 05 21320 1958.3699 317.51 314.70 317.87 \n", + "1958-06-01 1958 06 21351 1958.4548 NaN NaN 317.25 \n", + "1958-07-01 1958 07 21381 1958.5370 315.86 315.20 315.85 \n", + "1958-08-01 1958 08 21412 1958.6219 314.93 316.21 313.97 \n", + "1958-09-01 1958 09 21443 1958.7068 313.21 316.10 312.44 \n", + "1958-10-01 1958 10 21473 1958.7890 NaN NaN 312.43 \n", + "1958-11-01 1958 11 21504 1958.8740 313.33 315.20 313.60 \n", + "1958-12-01 1958 12 21534 1958.9562 314.67 315.43 314.76 \n", + "1959-01-01 1959 01 21565 1959.0411 315.58 315.52 315.64 \n", + "1959-02-01 1959 02 21596 1959.1260 316.49 315.84 316.28 \n", + "1959-03-01 1959 03 21624 1959.2027 316.65 315.37 316.98 \n", + "1959-04-01 1959 04 21655 1959.2877 317.72 315.42 318.08 \n", + "1959-05-01 1959 05 21685 1959.3699 318.29 315.48 318.66 \n", + "1959-06-01 1959 06 21716 1959.4548 318.15 316.02 318.05 \n", + "1959-07-01 1959 07 21746 1959.5370 316.54 315.87 316.66 \n", + "1959-08-01 1959 08 21777 1959.6219 314.80 316.08 314.80 \n", + "1959-09-01 1959 09 21808 1959.7068 313.84 316.74 313.30 \n", + "1959-10-01 1959 10 21838 1959.7890 313.33 316.33 313.32 \n", + "1959-11-01 1959 11 21869 1959.8740 314.81 316.69 314.53 \n", + "1959-12-01 1959 12 21899 1959.9562 315.58 316.35 315.72 \n", + "1960-01-01 1960 01 21930 1960.0410 316.43 316.37 316.62 \n", + "1960-02-01 1960 02 21961 1960.1257 316.98 316.33 317.29 \n", + "1960-03-01 1960 03 21990 1960.2049 317.58 316.27 318.03 \n", + "1960-04-01 1960 04 22021 1960.2896 319.03 316.70 319.14 \n", + "1960-05-01 1960 05 22051 1960.3716 320.03 317.21 319.68 \n", + "1960-06-01 1960 06 22082 1960.4563 319.58 317.46 319.02 \n", + "1960-07-01 1960 07 22112 1960.5383 318.18 317.53 317.59 \n", + "1960-08-01 1960 08 22143 1960.6230 315.90 317.22 315.67 \n", + "... ... .. ... ... ... ... ... \n", + "2019-11-01 2019 11 43784 2019.8740 410.16 412.43 410.15 \n", + "2019-12-01 2019 12 43814 2019.9562 411.81 412.74 411.69 \n", + "2020-01-01 2020 01 43845 2020.0410 413.30 413.24 412.90 \n", + "2020-02-01 2020 02 43876 2020.1257 414.05 413.27 413.81 \n", + "2020-03-01 2020 03 43905 2020.2049 414.45 412.88 414.80 \n", + "2020-04-01 2020 04 43936 2020.2896 416.11 413.31 416.24 \n", + "2020-05-01 2020 05 43966 2020.3716 417.15 413.76 417.01 \n", + "2020-06-01 2020 06 43997 2020.4563 416.29 413.74 416.34 \n", + "2020-07-01 2020 07 44027 2020.5383 414.42 413.64 414.75 \n", + "2020-08-01 2020 08 44058 2020.6230 412.52 414.10 412.60 \n", + "2020-09-01 2020 09 44089 2020.7077 411.18 414.69 410.88 \n", + "2020-10-01 2020 10 44119 2020.7896 411.12 414.73 411.01 \n", + "2020-11-01 2020 11 44150 2020.8743 412.88 415.15 412.55 \n", + "2020-12-01 2020 12 44180 2020.9563 413.89 414.81 414.06 \n", + "2021-01-01 2021 01 44211 2021.0411 415.15 415.08 415.23 \n", + "2021-02-01 2021 02 44242 2021.1260 416.47 415.69 416.12 \n", + "2021-03-01 2021 03 44270 2021.2027 417.16 415.62 417.04 \n", + "2021-04-01 2021 04 44301 2021.2877 418.24 415.46 418.45 \n", + "2021-05-01 2021 05 44331 2021.3699 418.95 415.55 419.23 \n", + "2021-06-01 2021 06 44362 2021.4548 418.70 416.12 418.56 \n", + "2021-07-01 2021 07 44392 2021.5370 416.65 415.84 416.96 \n", + "2021-08-01 2021 08 44423 2021.6219 414.34 415.89 414.78 \n", + "2021-09-01 2021 09 44454 2021.7068 412.90 416.42 413.04 \n", + "2021-10-01 2021 10 44484 2021.7890 413.55 417.17 413.15 \n", + "2021-11-01 2021 11 44515 2021.8740 414.82 417.09 414.70 \n", + "2021-12-01 2021 12 44545 2021.9562 416.43 417.36 416.21 \n", + "2022-01-01 2022 01 44576 2022.0411 418.01 417.94 417.37 \n", + "2022-02-01 2022 02 44607 2022.1260 418.99 418.20 418.23 \n", + "2022-03-01 2022 03 44635 2022.2027 418.45 416.90 419.12 \n", + "2022-04-01 2022 04 44666 2022.2877 420.02 417.23 NaN \n", + "\n", + " seasonally adjusted fit CO2 filled seasonally adjusted filled \n", + "date \n", + "1958-03-01 314.91 315.71 314.44 \n", + "1958-04-01 314.99 317.45 315.16 \n", + "1958-05-01 315.06 317.51 314.70 \n", + "1958-06-01 315.14 317.25 315.14 \n", + "1958-07-01 315.22 315.86 315.20 \n", + "1958-08-01 315.29 314.93 316.21 \n", + "1958-09-01 315.35 313.21 316.10 \n", + "1958-10-01 315.40 312.43 315.40 \n", + "1958-11-01 315.46 313.33 315.20 \n", + "1958-12-01 315.51 314.67 315.43 \n", + "1959-01-01 315.57 315.58 315.52 \n", + "1959-02-01 315.63 316.49 315.84 \n", + "1959-03-01 315.69 316.65 315.37 \n", + "1959-04-01 315.76 317.72 315.42 \n", + "1959-05-01 315.84 318.29 315.48 \n", + "1959-06-01 315.93 318.15 316.02 \n", + "1959-07-01 316.02 316.54 315.87 \n", + "1959-08-01 316.12 314.80 316.08 \n", + "1959-09-01 316.21 313.84 316.74 \n", + "1959-10-01 316.30 313.33 316.33 \n", + "1959-11-01 316.39 314.81 316.69 \n", + "1959-12-01 316.47 315.58 316.35 \n", + "1960-01-01 316.55 316.43 316.37 \n", + "1960-02-01 316.63 316.98 316.33 \n", + "1960-03-01 316.71 317.58 316.27 \n", + "1960-04-01 316.79 319.03 316.70 \n", + "1960-05-01 316.86 320.03 317.21 \n", + "1960-06-01 316.92 319.58 317.46 \n", + "1960-07-01 316.97 318.18 317.53 \n", + "1960-08-01 317.01 315.90 317.22 \n", + "... ... ... ... \n", + "2019-11-01 412.39 410.16 412.43 \n", + "2019-12-01 412.60 411.81 412.74 \n", + "2020-01-01 412.82 413.30 413.24 \n", + "2020-02-01 413.03 414.05 413.27 \n", + "2020-03-01 413.22 414.45 412.88 \n", + "2020-04-01 413.42 416.11 413.31 \n", + "2020-05-01 413.62 417.15 413.76 \n", + "2020-06-01 413.82 416.29 413.74 \n", + "2020-07-01 414.01 414.42 413.64 \n", + "2020-08-01 414.22 412.52 414.10 \n", + "2020-09-01 414.41 411.18 414.69 \n", + "2020-10-01 414.60 411.12 414.73 \n", + "2020-11-01 414.79 412.88 415.15 \n", + "2020-12-01 414.97 413.89 414.81 \n", + "2021-01-01 415.15 415.15 415.08 \n", + "2021-02-01 415.32 416.47 415.69 \n", + "2021-03-01 415.48 417.16 415.62 \n", + "2021-04-01 415.65 418.24 415.46 \n", + "2021-05-01 415.82 418.95 415.55 \n", + "2021-06-01 416.00 418.70 416.12 \n", + "2021-07-01 416.18 416.65 415.84 \n", + "2021-08-01 416.37 414.34 415.89 \n", + "2021-09-01 416.57 412.90 416.42 \n", + "2021-10-01 416.76 413.55 417.17 \n", + "2021-11-01 416.95 414.82 417.09 \n", + "2021-12-01 417.12 416.43 417.36 \n", + "2022-01-01 417.28 418.01 417.94 \n", + "2022-02-01 417.43 418.99 418.20 \n", + "2022-03-01 417.56 418.45 416.90 \n", + "2022-04-01 NaN 420.02 417.23 \n", + "\n", + "[770 rows x 10 columns]" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On peut constater la donnée prête à être traîtée. Essayons de traçer rapidement la donnée." + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "data['seasonally adjusted filled'].plot()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Analyse saisonnière" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Nous allons utiliser le module d'analyse saisonnière de `statsmodels` pour décomposer l'évolution de la concentration atmosphérique de CO2 en la somme d'une tendance et un motif périodique." + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [], + "source": [ + "from statsmodels.tsa.seasonal import seasonal_decompose" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Nous devons indiquer la fréquence des observations à statsmodels" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [], + "source": [ + "data.index = pd.DatetimeIndex(data.index.values, freq = 'MS')" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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YrMnDateDateCO2seasonally adjustedfitseasonally adjusted fitCO2 filledseasonally adjusted filled
1958-03-01195803212591958.2027315.71314.44316.19314.91315.71314.44
1958-04-01195804212901958.2877317.45315.16317.29314.99317.45315.16
1958-05-01195805213201958.3699317.51314.70317.87315.06317.51314.70
1958-06-01195806213511958.4548NaNNaN317.25315.14317.25315.14
1958-07-01195807213811958.5370315.86315.20315.85315.22315.86315.20
1958-08-01195808214121958.6219314.93316.21313.97315.29314.93316.21
1958-09-01195809214431958.7068313.21316.10312.44315.35313.21316.10
1958-10-01195810214731958.7890NaNNaN312.43315.40312.43315.40
1958-11-01195811215041958.8740313.33315.20313.60315.46313.33315.20
1958-12-01195812215341958.9562314.67315.43314.76315.51314.67315.43
1959-01-01195901215651959.0411315.58315.52315.64315.57315.58315.52
1959-02-01195902215961959.1260316.49315.84316.28315.63316.49315.84
1959-03-01195903216241959.2027316.65315.37316.98315.69316.65315.37
1959-04-01195904216551959.2877317.72315.42318.08315.76317.72315.42
1959-05-01195905216851959.3699318.29315.48318.66315.84318.29315.48
1959-06-01195906217161959.4548318.15316.02318.05315.93318.15316.02
1959-07-01195907217461959.5370316.54315.87316.66316.02316.54315.87
1959-08-01195908217771959.6219314.80316.08314.80316.12314.80316.08
1959-09-01195909218081959.7068313.84316.74313.30316.21313.84316.74
1959-10-01195910218381959.7890313.33316.33313.32316.30313.33316.33
1959-11-01195911218691959.8740314.81316.69314.53316.39314.81316.69
1959-12-01195912218991959.9562315.58316.35315.72316.47315.58316.35
1960-01-01196001219301960.0410316.43316.37316.62316.55316.43316.37
1960-02-01196002219611960.1257316.98316.33317.29316.63316.98316.33
1960-03-01196003219901960.2049317.58316.27318.03316.71317.58316.27
1960-04-01196004220211960.2896319.03316.70319.14316.79319.03316.70
1960-05-01196005220511960.3716320.03317.21319.68316.86320.03317.21
1960-06-01196006220821960.4563319.58317.46319.02316.92319.58317.46
1960-07-01196007221121960.5383318.18317.53317.59316.97318.18317.53
1960-08-01196008221431960.6230315.90317.22315.67317.01315.90317.22
.................................
2019-11-01201911437842019.8740410.16412.43410.15412.39410.16412.43
2019-12-01201912438142019.9562411.81412.74411.69412.60411.81412.74
2020-01-01202001438452020.0410413.30413.24412.90412.82413.30413.24
2020-02-01202002438762020.1257414.05413.27413.81413.03414.05413.27
2020-03-01202003439052020.2049414.45412.88414.80413.22414.45412.88
2020-04-01202004439362020.2896416.11413.31416.24413.42416.11413.31
2020-05-01202005439662020.3716417.15413.76417.01413.62417.15413.76
2020-06-01202006439972020.4563416.29413.74416.34413.82416.29413.74
2020-07-01202007440272020.5383414.42413.64414.75414.01414.42413.64
2020-08-01202008440582020.6230412.52414.10412.60414.22412.52414.10
2020-09-01202009440892020.7077411.18414.69410.88414.41411.18414.69
2020-10-01202010441192020.7896411.12414.73411.01414.60411.12414.73
2020-11-01202011441502020.8743412.88415.15412.55414.79412.88415.15
2020-12-01202012449102022.9562NaNNaNNaNNaN441802020.9563413.89414.81414.06414.97413.89414.81
2021-01-01202101442112021.0411415.15415.08415.23415.15415.15415.08
2021-02-01202102442422021.1260416.47415.69416.12415.32416.47415.69
2021-03-01202103442702021.2027417.16415.62417.04415.48417.16415.62
2021-04-01202104443012021.2877418.24415.46418.45415.65418.24415.46
2021-05-01202105443312021.3699418.95415.55419.23415.82418.95415.55
2021-06-01202106443622021.4548418.70416.12418.56416.00418.70416.12
2021-07-01202107443922021.5370416.65415.84416.96416.18416.65415.84
2021-08-01202108444232021.6219414.34415.89414.78416.37414.34415.89
2021-09-01202109444542021.7068412.90416.42413.04416.57412.90416.42
2021-10-01202110444842021.7890413.55417.17413.15416.76413.55417.17
2021-11-01202111445152021.8740414.82417.09414.70416.95414.82417.09
2021-12-01202112445452021.9562416.43417.36416.21417.12416.43417.36
2022-01-01202201445762022.0411418.01417.94417.37417.28418.01417.94
2022-02-01202202446072022.1260418.99418.20418.23417.43418.99418.20
2022-03-01202203446352022.2027418.45416.90419.12417.56418.45416.90
2022-04-01202204446662022.2877420.02417.23NaNNaN2022-12-15420.02417.23
\n", - "

780 rows × 11 columns

\n", + "

770 rows × 10 columns

\n", "
" ], "text/plain": [ - " Yr Mn Date Date CO2 seasonally adjusted fit \\\n", - "0 1958 01 21200 1958.0411 NaN NaN NaN \n", - "1 1958 02 21231 1958.1260 NaN NaN NaN \n", - "2 1958 03 21259 1958.2027 315.71 314.44 316.19 \n", - "3 1958 04 21290 1958.2877 317.45 315.16 317.29 \n", - "4 1958 05 21320 1958.3699 317.51 314.70 317.87 \n", - "5 1958 06 21351 1958.4548 NaN NaN 317.25 \n", - "6 1958 07 21381 1958.5370 315.86 315.20 315.85 \n", - "7 1958 08 21412 1958.6219 314.93 316.21 313.97 \n", - "8 1958 09 21443 1958.7068 313.21 316.10 312.44 \n", - "9 1958 10 21473 1958.7890 NaN NaN 312.43 \n", - "10 1958 11 21504 1958.8740 313.33 315.20 313.60 \n", - "11 1958 12 21534 1958.9562 314.67 315.43 314.76 \n", - "12 1959 01 21565 1959.0411 315.58 315.52 315.64 \n", - "13 1959 02 21596 1959.1260 316.49 315.84 316.28 \n", - "14 1959 03 21624 1959.2027 316.65 315.37 316.98 \n", - "15 1959 04 21655 1959.2877 317.72 315.42 318.08 \n", - "16 1959 05 21685 1959.3699 318.29 315.48 318.66 \n", - "17 1959 06 21716 1959.4548 318.15 316.02 318.05 \n", - "18 1959 07 21746 1959.5370 316.54 315.87 316.66 \n", - "19 1959 08 21777 1959.6219 314.80 316.08 314.80 \n", - "20 1959 09 21808 1959.7068 313.84 316.74 313.30 \n", - "21 1959 10 21838 1959.7890 313.33 316.33 313.32 \n", - "22 1959 11 21869 1959.8740 314.81 316.69 314.53 \n", - "23 1959 12 21899 1959.9562 315.58 316.35 315.72 \n", - "24 1960 01 21930 1960.0410 316.43 316.37 316.62 \n", - "25 1960 02 21961 1960.1257 316.98 316.33 317.29 \n", - "26 1960 03 21990 1960.2049 317.58 316.27 318.03 \n", - "27 1960 04 22021 1960.2896 319.03 316.70 319.14 \n", - "28 1960 05 22051 1960.3716 320.03 317.21 319.68 \n", - "29 1960 06 22082 1960.4563 319.58 317.46 319.02 \n", - ".. ... .. ... ... ... ... ... \n", - "750 2020 07 44027 2020.5383 414.42 413.64 414.75 \n", - "751 2020 08 44058 2020.6230 412.52 414.10 412.60 \n", - "752 2020 09 44089 2020.7077 411.18 414.69 410.88 \n", - "753 2020 10 44119 2020.7896 411.12 414.73 411.01 \n", - "754 2020 11 44150 2020.8743 412.88 415.15 412.55 \n", - "755 2020 12 44180 2020.9563 413.89 414.81 414.06 \n", - "756 2021 01 44211 2021.0411 415.15 415.08 415.23 \n", - "757 2021 02 44242 2021.1260 416.47 415.69 416.12 \n", - "758 2021 03 44270 2021.2027 417.16 415.62 417.04 \n", - "759 2021 04 44301 2021.2877 418.24 415.46 418.45 \n", - "760 2021 05 44331 2021.3699 418.95 415.55 419.23 \n", - "761 2021 06 44362 2021.4548 418.70 416.12 418.56 \n", - "762 2021 07 44392 2021.5370 416.65 415.84 416.96 \n", - "763 2021 08 44423 2021.6219 414.34 415.89 414.78 \n", - "764 2021 09 44454 2021.7068 412.90 416.42 413.04 \n", - "765 2021 10 44484 2021.7890 413.55 417.17 413.15 \n", - "766 2021 11 44515 2021.8740 414.82 417.09 414.70 \n", - "767 2021 12 44545 2021.9562 416.43 417.36 416.21 \n", - "768 2022 01 44576 2022.0411 418.01 417.94 417.37 \n", - "769 2022 02 44607 2022.1260 418.99 418.20 418.23 \n", - "770 2022 03 44635 2022.2027 418.45 416.90 419.12 \n", - "771 2022 04 44666 2022.2877 420.02 417.23 NaN \n", - "772 2022 05 44696 2022.3699 NaN NaN NaN \n", - "773 2022 06 44727 2022.4548 NaN NaN NaN \n", - "774 2022 07 44757 2022.5370 NaN NaN NaN \n", - "775 2022 08 44788 2022.6219 NaN NaN NaN \n", - "776 2022 09 44819 2022.7068 NaN NaN NaN \n", - "777 2022 10 44849 2022.7890 NaN NaN NaN \n", - "778 2022 11 44880 2022.8740 NaN NaN NaN \n", - "779 2022 12 44910 2022.9562 NaN NaN NaN \n", + " Yr Mn Date Date CO2 seasonally adjusted fit \\\n", + "1958-03-01 1958 03 21259 1958.2027 315.71 314.44 316.19 \n", + "1958-04-01 1958 04 21290 1958.2877 317.45 315.16 317.29 \n", + "1958-05-01 1958 05 21320 1958.3699 317.51 314.70 317.87 \n", + "1958-06-01 1958 06 21351 1958.4548 NaN NaN 317.25 \n", + "1958-07-01 1958 07 21381 1958.5370 315.86 315.20 315.85 \n", + "1958-08-01 1958 08 21412 1958.6219 314.93 316.21 313.97 \n", + "1958-09-01 1958 09 21443 1958.7068 313.21 316.10 312.44 \n", + "1958-10-01 1958 10 21473 1958.7890 NaN NaN 312.43 \n", + "1958-11-01 1958 11 21504 1958.8740 313.33 315.20 313.60 \n", + "1958-12-01 1958 12 21534 1958.9562 314.67 315.43 314.76 \n", + "1959-01-01 1959 01 21565 1959.0411 315.58 315.52 315.64 \n", + "1959-02-01 1959 02 21596 1959.1260 316.49 315.84 316.28 \n", + "1959-03-01 1959 03 21624 1959.2027 316.65 315.37 316.98 \n", + "1959-04-01 1959 04 21655 1959.2877 317.72 315.42 318.08 \n", + "1959-05-01 1959 05 21685 1959.3699 318.29 315.48 318.66 \n", + "1959-06-01 1959 06 21716 1959.4548 318.15 316.02 318.05 \n", + "1959-07-01 1959 07 21746 1959.5370 316.54 315.87 316.66 \n", + "1959-08-01 1959 08 21777 1959.6219 314.80 316.08 314.80 \n", + "1959-09-01 1959 09 21808 1959.7068 313.84 316.74 313.30 \n", + "1959-10-01 1959 10 21838 1959.7890 313.33 316.33 313.32 \n", + "1959-11-01 1959 11 21869 1959.8740 314.81 316.69 314.53 \n", + "1959-12-01 1959 12 21899 1959.9562 315.58 316.35 315.72 \n", + "1960-01-01 1960 01 21930 1960.0410 316.43 316.37 316.62 \n", + "1960-02-01 1960 02 21961 1960.1257 316.98 316.33 317.29 \n", + "1960-03-01 1960 03 21990 1960.2049 317.58 316.27 318.03 \n", + "1960-04-01 1960 04 22021 1960.2896 319.03 316.70 319.14 \n", + "1960-05-01 1960 05 22051 1960.3716 320.03 317.21 319.68 \n", + "1960-06-01 1960 06 22082 1960.4563 319.58 317.46 319.02 \n", + "1960-07-01 1960 07 22112 1960.5383 318.18 317.53 317.59 \n", + "1960-08-01 1960 08 22143 1960.6230 315.90 317.22 315.67 \n", + "... ... .. ... ... ... ... ... \n", + "2019-11-01 2019 11 43784 2019.8740 410.16 412.43 410.15 \n", + "2019-12-01 2019 12 43814 2019.9562 411.81 412.74 411.69 \n", + "2020-01-01 2020 01 43845 2020.0410 413.30 413.24 412.90 \n", + "2020-02-01 2020 02 43876 2020.1257 414.05 413.27 413.81 \n", + "2020-03-01 2020 03 43905 2020.2049 414.45 412.88 414.80 \n", + "2020-04-01 2020 04 43936 2020.2896 416.11 413.31 416.24 \n", + "2020-05-01 2020 05 43966 2020.3716 417.15 413.76 417.01 \n", + "2020-06-01 2020 06 43997 2020.4563 416.29 413.74 416.34 \n", + "2020-07-01 2020 07 44027 2020.5383 414.42 413.64 414.75 \n", + "2020-08-01 2020 08 44058 2020.6230 412.52 414.10 412.60 \n", + "2020-09-01 2020 09 44089 2020.7077 411.18 414.69 410.88 \n", + "2020-10-01 2020 10 44119 2020.7896 411.12 414.73 411.01 \n", + "2020-11-01 2020 11 44150 2020.8743 412.88 415.15 412.55 \n", + "2020-12-01 2020 12 44180 2020.9563 413.89 414.81 414.06 \n", + "2021-01-01 2021 01 44211 2021.0411 415.15 415.08 415.23 \n", + "2021-02-01 2021 02 44242 2021.1260 416.47 415.69 416.12 \n", + "2021-03-01 2021 03 44270 2021.2027 417.16 415.62 417.04 \n", + "2021-04-01 2021 04 44301 2021.2877 418.24 415.46 418.45 \n", + "2021-05-01 2021 05 44331 2021.3699 418.95 415.55 419.23 \n", + "2021-06-01 2021 06 44362 2021.4548 418.70 416.12 418.56 \n", + "2021-07-01 2021 07 44392 2021.5370 416.65 415.84 416.96 \n", + "2021-08-01 2021 08 44423 2021.6219 414.34 415.89 414.78 \n", + "2021-09-01 2021 09 44454 2021.7068 412.90 416.42 413.04 \n", + "2021-10-01 2021 10 44484 2021.7890 413.55 417.17 413.15 \n", + "2021-11-01 2021 11 44515 2021.8740 414.82 417.09 414.70 \n", + "2021-12-01 2021 12 44545 2021.9562 416.43 417.36 416.21 \n", + "2022-01-01 2022 01 44576 2022.0411 418.01 417.94 417.37 \n", + "2022-02-01 2022 02 44607 2022.1260 418.99 418.20 418.23 \n", + "2022-03-01 2022 03 44635 2022.2027 418.45 416.90 419.12 \n", + "2022-04-01 2022 04 44666 2022.2877 420.02 417.23 NaN \n", "\n", - " seasonally adjusted fit CO2 filled seasonally adjusted filled date \n", - "0 NaN NaN NaN 1958-01-15 \n", - "1 NaN NaN NaN 1958-02-15 \n", - "2 314.91 315.71 314.44 1958-03-15 \n", - "3 314.99 317.45 315.16 1958-04-15 \n", - "4 315.06 317.51 314.70 1958-05-15 \n", - "5 315.14 317.25 315.14 1958-06-15 \n", - "6 315.22 315.86 315.20 1958-07-15 \n", - "7 315.29 314.93 316.21 1958-08-15 \n", - "8 315.35 313.21 316.10 1958-09-15 \n", - "9 315.40 312.43 315.40 1958-10-15 \n", - "10 315.46 313.33 315.20 1958-11-15 \n", - "11 315.51 314.67 315.43 1958-12-15 \n", - "12 315.57 315.58 315.52 1959-01-15 \n", - "13 315.63 316.49 315.84 1959-02-15 \n", - "14 315.69 316.65 315.37 1959-03-15 \n", - "15 315.76 317.72 315.42 1959-04-15 \n", - "16 315.84 318.29 315.48 1959-05-15 \n", - "17 315.93 318.15 316.02 1959-06-15 \n", - "18 316.02 316.54 315.87 1959-07-15 \n", - "19 316.12 314.80 316.08 1959-08-15 \n", - "20 316.21 313.84 316.74 1959-09-15 \n", - "21 316.30 313.33 316.33 1959-10-15 \n", - "22 316.39 314.81 316.69 1959-11-15 \n", - "23 316.47 315.58 316.35 1959-12-15 \n", - "24 316.55 316.43 316.37 1960-01-15 \n", - "25 316.63 316.98 316.33 1960-02-15 \n", - "26 316.71 317.58 316.27 1960-03-15 \n", - "27 316.79 319.03 316.70 1960-04-15 \n", - "28 316.86 320.03 317.21 1960-05-15 \n", - "29 316.92 319.58 317.46 1960-06-15 \n", - ".. ... ... ... ... \n", - "750 414.01 414.42 413.64 2020-07-15 \n", - "751 414.22 412.52 414.10 2020-08-15 \n", - "752 414.41 411.18 414.69 2020-09-15 \n", - "753 414.60 411.12 414.73 2020-10-15 \n", - "754 414.79 412.88 415.15 2020-11-15 \n", - "755 414.97 413.89 414.81 2020-12-15 \n", - "756 415.15 415.15 415.08 2021-01-15 \n", - "757 415.32 416.47 415.69 2021-02-15 \n", - "758 415.48 417.16 415.62 2021-03-15 \n", - "759 415.65 418.24 415.46 2021-04-15 \n", - "760 415.82 418.95 415.55 2021-05-15 \n", - "761 416.00 418.70 416.12 2021-06-15 \n", - "762 416.18 416.65 415.84 2021-07-15 \n", - "763 416.37 414.34 415.89 2021-08-15 \n", - "764 416.57 412.90 416.42 2021-09-15 \n", - "765 416.76 413.55 417.17 2021-10-15 \n", - "766 416.95 414.82 417.09 2021-11-15 \n", - "767 417.12 416.43 417.36 2021-12-15 \n", - "768 417.28 418.01 417.94 2022-01-15 \n", - "769 417.43 418.99 418.20 2022-02-15 \n", - "770 417.56 418.45 416.90 2022-03-15 \n", - "771 NaN 420.02 417.23 2022-04-15 \n", - "772 NaN NaN NaN 2022-05-15 \n", - "773 NaN NaN NaN 2022-06-15 \n", - "774 NaN NaN NaN 2022-07-15 \n", - "775 NaN NaN NaN 2022-08-15 \n", - "776 NaN NaN NaN 2022-09-15 \n", - "777 NaN NaN NaN 2022-10-15 \n", - "778 NaN NaN NaN 2022-11-15 \n", - "779 NaN NaN NaN 2022-12-15 \n", + " seasonally adjusted fit CO2 filled seasonally adjusted filled \n", + "1958-03-01 314.91 315.71 314.44 \n", + "1958-04-01 314.99 317.45 315.16 \n", + "1958-05-01 315.06 317.51 314.70 \n", + "1958-06-01 315.14 317.25 315.14 \n", + "1958-07-01 315.22 315.86 315.20 \n", + "1958-08-01 315.29 314.93 316.21 \n", + "1958-09-01 315.35 313.21 316.10 \n", + "1958-10-01 315.40 312.43 315.40 \n", + "1958-11-01 315.46 313.33 315.20 \n", + "1958-12-01 315.51 314.67 315.43 \n", + "1959-01-01 315.57 315.58 315.52 \n", + "1959-02-01 315.63 316.49 315.84 \n", + "1959-03-01 315.69 316.65 315.37 \n", + "1959-04-01 315.76 317.72 315.42 \n", + "1959-05-01 315.84 318.29 315.48 \n", + "1959-06-01 315.93 318.15 316.02 \n", + "1959-07-01 316.02 316.54 315.87 \n", + "1959-08-01 316.12 314.80 316.08 \n", + "1959-09-01 316.21 313.84 316.74 \n", + "1959-10-01 316.30 313.33 316.33 \n", + "1959-11-01 316.39 314.81 316.69 \n", + "1959-12-01 316.47 315.58 316.35 \n", + "1960-01-01 316.55 316.43 316.37 \n", + "1960-02-01 316.63 316.98 316.33 \n", + "1960-03-01 316.71 317.58 316.27 \n", + "1960-04-01 316.79 319.03 316.70 \n", + "1960-05-01 316.86 320.03 317.21 \n", + "1960-06-01 316.92 319.58 317.46 \n", + "1960-07-01 316.97 318.18 317.53 \n", + "1960-08-01 317.01 315.90 317.22 \n", + "... ... ... ... \n", + "2019-11-01 412.39 410.16 412.43 \n", + "2019-12-01 412.60 411.81 412.74 \n", + "2020-01-01 412.82 413.30 413.24 \n", + "2020-02-01 413.03 414.05 413.27 \n", + "2020-03-01 413.22 414.45 412.88 \n", + "2020-04-01 413.42 416.11 413.31 \n", + "2020-05-01 413.62 417.15 413.76 \n", + "2020-06-01 413.82 416.29 413.74 \n", + "2020-07-01 414.01 414.42 413.64 \n", + "2020-08-01 414.22 412.52 414.10 \n", + "2020-09-01 414.41 411.18 414.69 \n", + "2020-10-01 414.60 411.12 414.73 \n", + "2020-11-01 414.79 412.88 415.15 \n", + "2020-12-01 414.97 413.89 414.81 \n", + "2021-01-01 415.15 415.15 415.08 \n", + "2021-02-01 415.32 416.47 415.69 \n", + "2021-03-01 415.48 417.16 415.62 \n", + "2021-04-01 415.65 418.24 415.46 \n", + "2021-05-01 415.82 418.95 415.55 \n", + "2021-06-01 416.00 418.70 416.12 \n", + "2021-07-01 416.18 416.65 415.84 \n", + "2021-08-01 416.37 414.34 415.89 \n", + "2021-09-01 416.57 412.90 416.42 \n", + "2021-10-01 416.76 413.55 417.17 \n", + "2021-11-01 416.95 414.82 417.09 \n", + "2021-12-01 417.12 416.43 417.36 \n", + "2022-01-01 417.28 418.01 417.94 \n", + "2022-02-01 417.43 418.99 418.20 \n", + "2022-03-01 417.56 418.45 416.90 \n", + "2022-04-01 NaN 420.02 417.23 \n", "\n", - "[780 rows x 11 columns]" + "[770 rows x 10 columns]" ] }, - "execution_count": 41, + "execution_count": 25, "metadata": {}, "output_type": "execute_result" } @@ -3559,17 +4590,53 @@ ] }, { - "cell_type": "markdown", + "cell_type": "code", + "execution_count": 26, "metadata": {}, + "outputs": [], "source": [ - "On peut constater la donnée prête à être traîtée." + "result = seasonal_decompose(data['seasonally adjusted filled'], model='ad')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "## Analyse saisonnière." + "Visualisons les résultats. Deux graphiques apparaissent à cause du notebook mais les deux sont absolument indentiques." + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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" + ] + }, + "execution_count": 28, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "%matplotlib inline\n", + "result.plot()" ] }, {