{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "#GLACINDIA Workshop\n", "##Part 7: Time series analysis (Pandas)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Nikolay Koldunov\n", "\n", "koldunovn@gmail.com" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here I am going to show just some basic [pandas](http://pandas.pydata.org/) stuff for time series analysis, as I think for the Earth Scientists it's the most interesting topic. If you find this small tutorial useful, I encourage you to watch [this video](http://pyvideo.org/video/1198/time-series-data-analysis-with-pandas), where Wes McKinney give extensive introduction to the time series data analysis with pandas.\n", "\n", "On the official website you can find explanation of what problems pandas solve in general, but I can tell you what problem pandas solve for me. It makes analysis and visualisation of 1D data, especially time series, MUCH faster. Before pandas working with time series in python was a pain for me, now it's fun. Ease of use stimulate in-depth exploration of the data: why wouldn't you make some additional analysis if it's just one line of code? Hope you will also find this great tool helpful and useful. So, let's begin." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Module import" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First we have to import necessary modules:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import pandas as pd\n", "import numpy as np\n", "%matplotlib inline\n", "pd.set_option('max_rows',15) # this limit maximum numbers of rows\n", "np.set_printoptions(precision=3 , suppress= True) # this is just to make the output look better\n", "import seaborn as sns" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "'0.15.2'" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pd.__version__" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Loading data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, when we are done with preparations, let's get some data." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Pandas has very good IO capabilities and we are going to use them to load our data and convert it to the time series:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "tmax = pd.read_csv('../05_numpy/DelhiTmax.txt',delimiter=r\"\\s+\", parse_dates=[[0,1,2]], header=None)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we read our data from file, telling pandas, that delimiter is a space, that it has to combine information in the 0th, 1st and 2nd columns and try to understand it as a date, and that there is no header presented in the original data." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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You, of course, can also get individual values. By index (date in our case): " ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
Temp
Date
1980-01-02 16
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" ], "text/plain": [ " Temp\n", "Date \n", "1980-01-02 16" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tmax['1980-01-02':'1980-01-02']" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "By exact location:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "Temp 35\n", "Name: 1944-06-17 00:00:00, dtype: float64" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tmax.iloc[120]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And what if we choose only one month?" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAfYAAAFlCAYAAAAZGcpRAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", 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"kiRJkiRJkiRJkiRJkiRJkiRJkiRJkiRJkiT1PAGbxW1J9Y59XQAAAABJRU5ErkJggg==\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tmax['1980-01'].plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Isn't that great? :)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Exercise\n", "\n", "What was temperature in Delhi at your burthsday (or at the closest day)?" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## One bonus example :)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is a plot of all temperatures larger than 35 degrees Celsius. What can we learn from this plot?" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAd8AAAFTCAYAAAB4cgb7AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzsnXl4FFX297/Va7o76U5CggIhgEuZQARERSUEQZEdxHEF\n", "FxwVUEFFAQdcURlAEBcksg04oA6o8w7CT2VGcdQJYUZZHBEEWxAnQUEIIXvvXe8f1XW7qruqeqHT\n", "aej7eR4fO7eq7r2nqqiqc88GUCgUCoVCoVAoFAqFQqFQKBQKhUKhUCgUCoVCoVAoFAqFQqFQKBQK\n", "hUKhUCgUCphodmJZVgtgJ4Ajdrt9NMuyfQEsBaAH4AXwoN1u39F606RQKBQK5exBE+V+jwD4HgAX\n", "+HshgKftdvslAJ4J/E2hUCgUCiUKIr58WZYtADACwJ8Q1JSPArAFfmcD+KVVZkehUCgUylmILop9\n", "XgEwE4BV1DYLwDaWZV8C/wK/qhXmRqFQKBTKWYmq5suy7CgAx+12+zeQ2odXA3jYbrcXAngUwJrW\n", "myKFQqFQKGcXqg5XLMvOA3AneKeqDPDa798AXG+3262BfRgAdXa73abYEQCPx8vpdNqETJpCoVBU\n", 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"cell_type": "markdown", "metadata": {}, "source": [ "## Multiple columns" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's make live a bit more interesting and get more data. This will be TMIN time series." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [], "source": [ "tmin = pd.read_csv('./DelhiTmin.txt',delimiter=r\"\\s+\", parse_dates=[[0,1,2]], header=None)\n", "tmin.columns = ['Date', 'Temp']\n", "tmin = tmin.set_index(['Date'])" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAd8AAAFTCAYAAAB4cgb7AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzsvXecJkd9J/ztZ3Ke2Zlns1a7K6klUFpJBIOEEEEGG4PB\n", "5+Mc8Z0P371Or8179tnY5/ReAg5sgg0YC7DAgDAIhCSMsFY5h5VW2qBVb84780zOue+P7n66urp+\n", "1VX99BNmpr580M5T3V1VXVVdv/plwMDAwMDAwMDAwMDAwMDAwMDAwMDAwMDAwMDAwMDAwMDAwMDA\n", "wMDAwMDAwMDAwMDAwMDAwACWyk22bdcBeB7AGcdx3mvb9joA3wZwMYATAD7oOM5o2XppYGBgYGCw\n", 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" ], "text/plain": [ " Temp\n", "count 15436.000000\n", "mean 31.402131\n", "std 6.740111\n", "min 9.800000\n", "25% 26.200000\n", "50% 32.600000\n", "75% 36.100000\n", "max 47.900000" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tmax.describe()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We are going to create empty DataFrame with indeces for every day and then fill them in with TMIN and TMAX (where they are exist) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Create index (use period_range):" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": true }, "outputs": [], "source": [ "dd = pd.period_range('1944-01','2015-03',freq='D')" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "\n", "[1944-01-01, ..., 2015-03-01]\n", "Length: 25993, Freq: D" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dd" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Create empty data frame:" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": true }, "outputs": [], "source": [ "tmp = pd.DataFrame(index=dd)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ "Empty DataFrame\n", "Columns: []\n", "Index: [1944-01-01, 1944-01-02, 1944-01-03, 1944-01-04, 1944-01-05, 1944-01-06, 1944-01-07, 1944-01-08, 1944-01-09, 1944-01-10, 1944-01-11, 1944-01-12, 1944-01-13, 1944-01-14, 1944-01-15, 1944-01-16, 1944-01-17, 1944-01-18, 1944-01-19, 1944-01-20, 1944-01-21, 1944-01-22, 1944-01-23, 1944-01-24, 1944-01-25, 1944-01-26, 1944-01-27, 1944-01-28, 1944-01-29, 1944-01-30, 1944-01-31, 1944-02-01, 1944-02-02, 1944-02-03, 1944-02-04, 1944-02-05, 1944-02-06, 1944-02-07, 1944-02-08, 1944-02-09, 1944-02-10, 1944-02-11, 1944-02-12, 1944-02-13, 1944-02-14, 1944-02-15, 1944-02-16, 1944-02-17, 1944-02-18, 1944-02-19, 1944-02-20, 1944-02-21, 1944-02-22, 1944-02-23, 1944-02-24, 1944-02-25, 1944-02-26, 1944-02-27, 1944-02-28, 1944-02-29, 1944-03-01, 1944-03-02, 1944-03-03, 1944-03-04, 1944-03-05, 1944-03-06, 1944-03-07, 1944-03-08, 1944-03-09, 1944-03-10, 1944-03-11, 1944-03-12, 1944-03-13, 1944-03-14, 1944-03-15, 1944-03-16, 1944-03-17, 1944-03-18, 1944-03-19, 1944-03-20, 1944-03-21, 1944-03-22, 1944-03-23, 1944-03-24, 1944-03-25, 1944-03-26, 1944-03-27, 1944-03-28, 1944-03-29, 1944-03-30, 1944-03-31, 1944-04-01, 1944-04-02, 1944-04-03, 1944-04-04, 1944-04-05, 1944-04-06, 1944-04-07, 1944-04-08, 1944-04-09, ...]\n", "\n", "[25993 rows x 0 columns]" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tmp" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Convert indexes from date time values to periods:" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false }, "outputs": [], "source": [ "tmin.index = tmin.index.to_period('D')\n", "tmax.index = tmax.index.to_period('D')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we create Data Frame, that will contain both TMAX and TMIN data. It is sort of an Excel table where the first row contain headers for the columns and firs column is an index:" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false }, "outputs": [], "source": [ "tmp['TMIN'] = tmin\n", "tmp['TMAX'] = tmax" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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1944-01-05 6.1 NaN
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" ], "text/plain": [ " TMIN TMAX\n", "1944-01-01 NaN 22.2\n", "1944-01-02 5.0 NaN\n", "1944-01-03 3.9 23.9\n", "1944-01-04 5.0 22.2\n", "1944-01-05 6.1 NaN" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tmp.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One can plot the data straight away:" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAd8AAAFXCAYAAADj40TtAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzsvXeAHEeZ9//tmc1JuyutsqxgaYzlgBPOARvbZzAYuCNd\n", "4ODw4bsDfPeDlyO9B9x73JE5TDrC2RhjHLDBxsYJJzlH2UqWVhpptYqrzTlM7t8fMz3ToZ7uqp6a\n", "ntnd+vwhzXaoqk71VD31BEChUCgUCoVCoVAoFAqFQqFQKBQKhUKhUCgUCoVCoVAoFAqFQqFQKBQK\n", 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\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
TMINTMAXDiff
1944-01-01 NaN 22.2 NaN
1944-01-02 5.0 NaN NaN
1944-01-03 3.9 23.9 20.0
1944-01-04 5.0 22.2 17.2
1944-01-05 6.1 NaN NaN
\n", "
" ], "text/plain": [ " TMIN TMAX Diff\n", "1944-01-01 NaN 22.2 NaN\n", "1944-01-02 5.0 NaN NaN\n", "1944-01-03 3.9 23.9 20.0\n", "1944-01-04 5.0 22.2 17.2\n", "1944-01-05 6.1 NaN NaN" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tmp['Diff'] = tmp['TMAX'] - tmp['TMIN']\n", "tmp.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Exercise\n", "Find and plot all differences that are larger than 20" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And delete it:" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
TMINTMAX
2015-02-25 NaN 28.6
2015-02-26 14.5 27.6
2015-02-27 11.1 27.6
2015-02-28 12.6 29.2
2015-03-01 NaN NaN
\n", "
" ], "text/plain": [ " TMIN TMAX\n", "2015-02-25 NaN 28.6\n", "2015-02-26 14.5 27.6\n", "2015-02-27 11.1 27.6\n", "2015-02-28 12.6 29.2\n", "2015-03-01 NaN NaN" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "del tmp['Diff']\n", "tmp.tail()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Slicing will also work:" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAd8AAAF6CAYAAABY0VIFAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzsvXl4XOd5n32f2TALZsEOkAABguBQpFZqI00tXERKorfI\n", "Sxy7SR2ncdzWjeM4afvZbdqkztevadO4dra2aRzHiesm/izFtmRRlLhK1ELJ1C6SGoAg9n2ZATAL\n", "Zjv9Y+YMthlggNkA8LmvixeJ95w5550ZcJ55tt8DgiAIgiAIgiAIgiAIgiAIgiAIgiAIgiAIgiAI\n", 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We can obtain statistical information over elements of the Data Frame. Default is column wise:" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "TMIN 18.530961\n", "TMAX 31.402131\n", "dtype: float64" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tmp.mean()" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "TMIN 36.4\n", "TMAX 47.9\n", "dtype: float64" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tmp.max()" ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "TMIN 0.0\n", "TMAX 9.8\n", "dtype: float64" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tmp.min()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can also do it row-wise:" ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "1944-01-01 22.2\n", "1944-01-02 5.0\n", "1944-01-03 13.9\n", "1944-01-04 13.6\n", "1944-01-05 6.1\n", "...\n", "2015-02-24 21.90\n", "2015-02-25 28.60\n", "2015-02-26 21.05\n", "2015-02-27 19.35\n", "2015-02-28 20.90\n", "2015-03-01 NaN\n", "Freq: D, Length: 25993" ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tmp.mean(1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Or get everything at once:" ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
TMINTMAX
count 14208.000000 15436.000000
mean 18.530961 31.402131
std 7.808766 6.740111
min 0.000000 9.800000
25% 11.400000 26.200000
50% 19.500000 32.600000
75% 25.600000 36.100000
max 36.400000 47.900000
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" ], "text/plain": [ " TMIN TMAX\n", "count 14208.000000 15436.000000\n", "mean 18.530961 31.402131\n", "std 7.808766 6.740111\n", "min 0.000000 9.800000\n", "25% 11.400000 26.200000\n", "50% 19.500000 32.600000\n", "75% 25.600000 36.100000\n", "max 36.400000 47.900000" ] }, "execution_count": 39, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tmp.describe()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "By the way getting correlation coefficients for members of the Data Frame is as simple as:" ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
TMINTMAX
TMIN 1.000000 0.882849
TMAX 0.882849 1.000000
\n", "
" ], "text/plain": [ " TMIN TMAX\n", "TMIN 1.000000 0.882849\n", "TMAX 0.882849 1.000000" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tmp.corr()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Exercise\n", "Find mean of all temperatures larger than 5" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Resampling" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Pandas provide easy way to resample data to different time frequency. Two main parameters for resampling is time period you resemple to and the method that you use. By default the method is mean. Following example calculates monthly ('M'):" ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 41, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAeYAAAFXCAYAAAB3Be0fAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzsvWmUJFd1LvrFlPNUQ1ZVz93qVmieEIMAMQgjJhmZazBg\n", "zGAbg6/x8jK2udfXvOe78H3P99rYTAvzbGyD4GJjDBfMPGgCIUACCbVmdUfPQ3XNQ1ZVjjG9HxEn\n", "IisrM+NExInMpju+tbTUXZWdOzIjztln7/3tbwMxYsSIESNGjBgxYsSIESNGjBgxYsSIESNGjBgx\n", "YsSIESNGjBgxYsSIESNGjBgxYsSIESNGjBgxYsSIcUGAo3mRLMsCgIcBnFUU5bWyLH8AwO8AWLBf\n", "8meKonw3mkuMESNGjBgxLh6IlK/7QwBPA8jbfzcBfFhRlA9HclUxYsSIESPGRQre6wWyLO8E8BoA\n", "/ww3wuZAGW3HiBEjRowYMejh6ZgBfATAfwFgtP3MBPAHsiw/Jsvyp2RZLkVydTFixIgRI8ZFhr6O\n", "WZblXwYwryjKQWyOkP8ewD4A1wOYAfChyK4wRowYMWLEuIjQNx0ty/L/BPA2ABqAFIACgC8rivL2\n", 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"tmp_mm['2000':].plot(figsize=(10,10))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Exercise\n", "Define function that will find difference between maximum and minimum values of the time series, and resample our `tmp` variable with this function." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Interpolate" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Data often have gaps:" ] }, { "cell_type": "code", "execution_count": 44, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 44, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAd8AAAFiCAYAAAC3VNLzAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzsnXecJGWd/z8VOs/09MzOzM5sjgUsu7DLruQsYAAxcCLq\n", "qQiKyh2nnOHE8NPT00NOQQVEBQQO5RAEERAlLJLTArvL5t4cJ4cO07mqfn9UPVVPVVf3dPd0z/TM\n", "PO/Xa1/bXf3M00+n5/t8M8BgMBgMBoPBYDAYDAaDwWAwGAwGg8FgMBgMBoPBYDAYDAaDwWAwGAwG\n", 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"output_type": "display_data" } ], "source": [ "tmp['2005':'2006'].interpolate().plot()" ] }, { "cell_type": "code", "execution_count": 51, "metadata": { "collapsed": true }, "outputs": [], "source": [ "tmp.interpolate?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Interpolation with use of another interpolation method:" ] }, { "cell_type": "code", "execution_count": 46, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAd8AAAFiCAYAAAC3VNLzAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzsnXecI+V9/z8zoy6tpN3ber0Od8cd3NF7M2AbCLGNgwmO\n", "CxATQ8IvJi5xjVvs2JjmAMYxYCDE2AaDbcBg+lGPdr3retu+0qrXmfn9MfPMPDMatV1p67xfr3ud\n", "NBo980ireb7PtwMWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYW\n", "FhYWFhYWYKo5ied5DsAHAI6EQqG/4Xn+ewD+EcCAcso3QqHQXxszRQsLCwsLi6mFrcrz/hXAdgBN\n", "ynMJwO2hUOj2hszKwsLCwsJiCsNWOoHn+dkALgFwPzRNmUGVWrOFhYWFhYWFnorCF8AdAL4KQKSO\n", 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"Nikolay Koldunov", "Category": "Data processing", "Date": "2013-3-30", "Tags": "pandas, data analysis, visualization", "Title": "Time series analysis with pandas", "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.9" }, "slug": "pandas-basics" }, "nbformat": 4, "nbformat_minor": 0 }