{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "#GLACINDIA Workshop\n", "##Part 7: Time series analysis (Pandas) 2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Nikolay Koldunov\n", "\n", "koldunovn@gmail.com" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "source": [ "import pandas as pd\n", "import numpy as np\n", "%pylab inline\n", "import seaborn as sns" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We are going to use data from [Indian Institute Of Tropical Meteorology](http://www.tropmet.res.in/Data%20Archival-51-Page). In particular [Longest Instrumental Rainfall Series of the Indian Regions (1813-2006)](http://www.tropmet.res.in/static_page.php?page_id=52) time series." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "data = np.loadtxt(\"8-all_ind.txt\", skiprows=2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Data came in as a table with months and yearly averages as columns:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([[ 1813. , 10. , 14.2, ..., 97.7, 840.6, 156.2],\n", " [ 1814. , 9. , 12.3, ..., 81.1, 837.3, 81.7],\n", " [ 1815. , 18.5, 14.7, ..., 94.1, 895.5, 179.7],\n", " ..., \n", " [ 2004. , 18.4, 5.1, ..., 150.9, 807.2, 125.4],\n", " [ 2005. , 20.7, 19.8, ..., 106.4, 909.4, 161.4],\n", " [ 2006. , 5. , 3.4, ..., 154.3, 927.8, 115.5]])" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We actually need only 12 columns with months:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(194, 18)" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data.shape" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(194, 12)" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data[:,1:13].shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One way to make continuous time series is to flatten the array:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [], "source": [ "data_flat = data[:,1:13].flatten()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now its one dimentional:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(2328,)" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data_flat.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's now construct a pandas DataFrame." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We know the time range of the data, so we can create time array, that can be used as an index:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": true }, "outputs": [], "source": [ "dates = pd.period_range('1813-01','2006-12', freq=\"M\")" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "\n", "[1813-01, ..., 2006-12]\n", "Length: 2328, Freq: M" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dates" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can put together our data and index:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": true }, "outputs": [], "source": [ "df = pd.DataFrame({'PRC':data_flat}, index=dates)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAeUAAAFXCAYAAACcMlYcAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzsnXmYHUW5/79n9kwy2Sc7hBBSaIBA2JUtoF5RuYCCigt4\n", "BS4qXkEvqID6c71cgUtUlEVB2ZQICgYCAsGEsEMgCSEhkMq+ZzL7vp45vz/O6bNW16mu6jrdZ+b9\n", "PE+enOmuraur66166623AIIgCIIgCIIgCIIgCIIgCIIgCIIgCIIgCIIgCIIgCIIgCIIgCIIgiKIh\n", "ohKIMVYK4C0Auznn/84YGw/gYQAzAWwH8DnOeUsi7PUALgUQBXAV53ypjYITBEEQxFCjRDHc1QA2\n", "AIgl/r4OwHOccwZgWeJvMMbmAvg8gLkAzgZwB2NMNQ+CIAiCGNbkFZiMsRkAPgngHqRm1ucCuD/x\n", 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] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "df.plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now create yearly means:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAesAAAFXCAYAAACC+2avAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzsvWmUJNlVJvjZ4mssGZFZkVmrVKKUJqmEFhBaZmhQNzS0\n", "aAQlmgaJPqMeJDSnu9UHwTBNz2EZoOGM5gCN2GYkDUIbakqiWEYSjVZUEiotpZSqipKqsqqssirX\n", "qFwiMyIzNne3dX6Y3WfvPXtmbu7hEeHu+b5z6lSku7n5c7Nn777v3u/eC2hoaGhoaGhoaGhoaGho\n", "aGhoaGhoaGhoaGhoaGhoaGhoaGhoaGhoaGhoaGhoaGhoaGhoaGhojBhG2ZuO47wPwA8DuOS67ovS\n", "134DwFsArKSH/bLrup9M3/slAG8GEAJ4m+u6n0lffxmADwBoAviE67o/N/JfoqGhoaGhMaUw+7z/\n", "fgCvkV6LAbzDdd3vSP8jQ30ngNcDuDP9zDsdx6HNwLsA/IzrukcBHHUcRz6nhoaGhoaGRgFKjbXr\n", 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So we can compare out result: " ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAfQAAAFXCAYAAABUXrzKAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzsvWmwLdlVHvjlcKY7valuja9KUkmVCEmlAYHEYAw2YOMG\n", "LBFuhwwddGDhHlC3gIa2ozEOmw5HS2E7UNNgSx1YSFiA1BaTKDRRQiBQSSpVqaRSlVRD1vzqvXrz\n", "ve/d6Qw59Y/ca+faO3eek+fc8+4559b+IirqvjPmydy51/6+9a21AQsLCwsLCwsLCwsLCwsLCwsL\n", "CwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLi6nBGfZkEAQfAPAjAC6EYXineOxX\n", "AfwzABfFy/5lGIafEs/9MoC3A0gA/FwYhneLx98I4HcAtAF8MgzDn5/6L7GwsLCwsHgRwx3x/AcB\n", "/LD2WAbgPWEYvkH8R8H8VQDeBuBV4j3vDYKAFgzvA/AzYRjeAeCOIAj0z7SwsLCwsLDYB4YG9DAM\n", "Pw9g0/CUidm/BcBHwjCMwjB8FsCTAN4cBMFNAFbDMLxPvO5DAN46+SFbWFhYWFhY6BjF0KvwziAI\n", 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[ "##Exersise\n", "\n", "Extract data for JJAS period, put them in to pandas Data frame variable and plot." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "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" } }, "nbformat": 4, "nbformat_minor": 0 }