{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Temperatures" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note: for this demo to work properly, you'll need to install [statsmodels](http://http://statsmodels.sourceforge.net/)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Import libraries" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import glob\n", "import os\n", "import numpy as np\n", "import pandas as pd\n", "import hypertools as hyp\n", "import seaborn as sns\n", "import matplotlib.pyplot as plt\n", "import matplotlib as mpl\n", "import statsmodels\n", "\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Read in data" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "results=pd.read_csv('data/temperatures.csv')\n", "locs=pd.read_csv('data/temperature_locs.csv')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Temperature dataframe" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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Unnamed: 0YearMonthBangkok_anomalyBangkokBombay_anomalyBombayCairo_anomalyCairoCape_Town_anomaly...Seoul_anomalySeoulShanghai_anomalyShanghaiSomalia_anomalySomaliaSydney_anomalySydneyTokyo_anomalyTokyo
0018501-1.14423.896-1.59022.780-1.04112.079NaN...-0.937-4.797NaNNaNNaNNaNNaNNaNNaNNaN
1118502-0.59926.431-0.69723.713-1.37113.399NaN...-0.594-2.284NaNNaNNaNNaNNaNNaNNaNNaN
2218503-0.75328.097-0.71925.301-1.49916.041NaN...0.1193.549NaNNaNNaNNaNNaNNaNNaNNaN
3318504-1.29728.633-1.19426.426-1.41819.862NaN...-2.8967.184NaNNaNNaNNaNNaNNaNNaNNaN
4418505-1.44627.994-1.25027.850-2.42722.613NaN...-1.20914.811NaNNaNNaNNaNNaNNaNNaNNaN
\n", "

5 rows × 43 columns

\n", "
" ], "text/plain": [ " Unnamed: 0 Year Month Bangkok_anomaly Bangkok Bombay_anomaly Bombay \\\n", "0 0 1850 1 -1.144 23.896 -1.590 22.780 \n", "1 1 1850 2 -0.599 26.431 -0.697 23.713 \n", "2 2 1850 3 -0.753 28.097 -0.719 25.301 \n", "3 3 1850 4 -1.297 28.633 -1.194 26.426 \n", "4 4 1850 5 -1.446 27.994 -1.250 27.850 \n", "\n", " Cairo_anomaly Cairo Cape_Town_anomaly ... Seoul_anomaly Seoul \\\n", "0 -1.041 12.079 NaN ... -0.937 -4.797 \n", "1 -1.371 13.399 NaN ... -0.594 -2.284 \n", "2 -1.499 16.041 NaN ... 0.119 3.549 \n", "3 -1.418 19.862 NaN ... -2.896 7.184 \n", "4 -2.427 22.613 NaN ... -1.209 14.811 \n", "\n", " Shanghai_anomaly Shanghai Somalia_anomaly Somalia Sydney_anomaly \\\n", "0 NaN NaN NaN NaN NaN \n", "1 NaN NaN NaN NaN NaN \n", "2 NaN NaN NaN NaN NaN \n", "3 NaN NaN NaN NaN NaN \n", "4 NaN NaN NaN NaN NaN \n", "\n", " Sydney Tokyo_anomaly Tokyo \n", "0 NaN NaN NaN \n", "1 NaN NaN NaN \n", "2 NaN NaN NaN \n", "3 NaN NaN NaN \n", "4 NaN NaN NaN \n", "\n", "[5 rows x 43 columns]" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "results.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Locations dataframe" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Unnamed: 0 City Lat Long\n", "0 0 Bangkok 13.66 99.91\n", "1 0 Bombay 18.48 72.68\n", "2 0 Cairo 29.74 31.38\n", "3 0 Cape_Town -32.95 18.19\n", "4 0 Chicago 42.59 -87.27\n", "5 0 Istanbul 40.99 29.82\n", "6 0 London 52.24 -0.00\n", "7 0 Los_Angeles 34.56 -118.70\n", "8 0 Mexico 20.09 -98.96\n", "9 0 Montreal 45.81 -72.69\n", "10 0 Moscow 55.45 36.85\n", "11 0 New_York 40.99 -74.56\n", "12 0 Rome 42.59 13.09\n", "13 0 Santiago -32.95 -69.89\n", "14 0 Sao_Paulo -23.31 -46.31\n", "15 0 Seoul 37.78 126.10\n", "16 0 Shanghai 31.35 120.63\n", "17 0 Somalia 2.41 45.80\n", "18 0 Sydney -34.56 151.78\n", "19 0 Tokyo 36.17 139.23\n" ] } ], "source": [ "print(locs)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Clean up NAs and convert to numpy array to pass into hyperplot" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "results = results.dropna()\n", "temps = results.as_matrix(locs['City'].as_matrix())\n", "years = results.as_matrix(['Year'])\n", "month = results.as_matrix(['Month'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Static 3D image: plot the high-dimensional data in a low dimensional space" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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5yEc+wtmzZzl27Ni1bsrbysqX4FcgHo+vuBSftuEmwqGjEPhgxKCtD1+LMbFQ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\nHxIg6s5Du2rQ8CT4bsDLLw5x5vAwxh/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Xcderv+aB7CUUXFDDXTt+c1aew2RwOBy88MIL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\nL730EiMjI/zt3/4tJSUlzJ8/n4qKCqqrqyktLZXX+DTIDCr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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "geo = hyp.plot(temps, group=years.flatten(), palette='RdBu_r', normalize='across')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Static 2D image" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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7+cofv4v7vvk9EmDLxefy6i9+mML64VP+HbzZOe5941uo3nk3zsZRLvjn93LH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\n+s/ewpmXbWVhxwPc+6Np5nt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GNw9ht9rE7S7ZwTzFsp5W1LAtdC3GGuxj/e+/kfwTLgGg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CvnyR76PcpLZzFpOulnNRnHmonijPF/G0u2kzJcHzDaGDBcH1COCk+qMZbK7nWHfl1MeNUMURf1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\nCgBgJAIFADASgQIAGIlAAQCMRKAAAEYiUAAAIxEoAICRCBQAwEgECgBgJ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" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "geo.plot(ndims=2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Color Bar" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAhQAAABMCAYAAAA1OC5WAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(8, 3))\n", "ax1 = fig.add_axes([0.05, 0.80, 0.9, 0.15])\n", "cmap = mpl.cm.RdBu_r\n", "norm = mpl.colors.Normalize(vmin=1875, vmax=2013)\n", "cb1 = mpl.colorbar.ColorbarBase(ax1, cmap=cmap,\n", " norm=norm,\n", " orientation='horizontal')\n", "cb1.set_label('Years')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Lowess predictions of PCA values by year" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": true }, "outputs": [], "source": [ "sns.set_style('darkgrid')\n", "sns.set_palette(palette='muted')\n", "reduced_data = hyp.reduce(temps, reduce='PCA', ndims = 3)\n", "\n", "results['PCA 1'] = reduced_data[:,0]\n", "results['PCA 2'] = reduced_data[:,1]\n", "results['PCA 3'] = reduced_data[:,2]\n", "\n", "PCA1_df = results[['Year', 'PCA 1']]\n", "PCA2_df = results[['Year', 'PCA 2']]\n", "PCA3_df = results[['Year', 'PCA 3']]" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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fQPb0dvWr2COP44wcQzRqKASqUUNphULheXX8qEXq0c9i9A8A4Jw4Tq0yjVeY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\nV4jXP3KSk5PF+KHZrb63qMhxSsfuTj0l1p4SJ0isXaWnxNpT4oTOibX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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.regplot(x='Year', y='PCA 1', data=PCA1_df.groupby(['Year']).mean().reset_index(), lowess=True)\n", "sns.regplot(x='Year', y='PCA 2', data=PCA2_df.groupby(['Year']).mean().reset_index(), lowess=True)\n", "sns.regplot(x='Year', y='PCA 3', data=PCA3_df.groupby(['Year']).mean().reset_index(), lowess=True)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Lowess predictions of PCA values by average yearly temperature" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": true }, "outputs": [], "source": [ "temp_PCA = pd.DataFrame()\n", "temp_PCA['ave_temp'] = results.groupby(['Year']).mean()[locs['City']].mean(axis=1)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": true }, "outputs": [], "source": [ "temp_PCA = temp_PCA.join(PCA1_df.groupby(['Year']).mean(), how = 'outer')\n", "temp_PCA = temp_PCA.join(PCA2_df.groupby(['Year']).mean(), how = 'outer')\n", "temp_PCA = temp_PCA.join(PCA3_df.groupby(['Year']).mean(), how = 'outer')" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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EMitqgGVPPVV6HMntpu3b0F5iTSHxZG9ZbbufDMMCzQ4ITk3pcvtr+9GEt1iThWPRb0gw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\nRLDFZOOuALsOtQB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ZsmWdXkfXDRwOrS+bKoQQ/UpOg0E23/ve97jmmmu4+uqrAZg2bRrr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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.regplot(x='ave_temp', y='PCA 1', data = temp_PCA, lowess=True)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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Dp1sdtHWHzFBQkFi0QTd+dkv46VpUG82MRGqutNYgPS4dWYjay4fQ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\n3bt34+DBg7jtttsA+A/ZueCCC1BTU4O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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.regplot(x='ave_temp', y='PCA 2', data = temp_PCA, lowess=True)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.regplot(x='ave_temp', y='PCA 3', data = temp_PCA, lowess=True)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Linear regression predictions of PCA values by month" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": true }, "outputs": [], "source": [ "PCA1_df = results[['Month', 'Year', 'PCA 1']]\n", "PCA2_df = results[['Month', 'Year', 'PCA 2']]\n", "PCA3_df = results[['Month', 'Year', 'PCA 3']]" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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VVcGu2nGoTuyqA4fqwK464aPPsPvB6jfOu761Hs7X9oGg6FjMMG54BlkukzEI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\nuh/0q+pYXtUPCuO0jT4SNw8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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.regplot(x='Month', y='PCA 1', data=PCA1_df.groupby(['Month', 'Year']).mean().reset_index(), truncate = True, lowess=True)\n", "sns.regplot(x='Month', y='PCA 2', data=PCA2_df.groupby(['Month', 'Year']).mean().reset_index(), truncate = True, lowess=True)\n", "sns.regplot(x='Month', y='PCA 3', data=PCA3_df.groupby(['Month', 'Year']).mean().reset_index(), truncate = True, lowess=True)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": true }, "outputs": [], "source": [ "temps_locs = pd.DataFrame()\n", "temps_locs = results.groupby(['Year']).mean()[locs['City']].reset_index()" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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DQTS2oKq4MAMBSYDdxZAkNrs1gmz/sBOnUEAEpCNeCIPiUKKfrafw1F9QGyaj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lZW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\noUmNTT3+s7a/oAdS9+/Xrx/Z2dkIIdDpdKxevTqo602aNImZM2cSGxtLz54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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "meltCov = pd.melt(temps_locs,id_vars=['Year'], var_name='Cities', value_name='Average Temperature')\n", "sns.set(style=\"whitegrid\")\n", "sns.set_palette(palette='muted')\n", "g = sns.lmplot(x = 'Year', y = 'Average Temperature', hue=\"Cities\", data = meltCov, fit_reg=False, legend_out=True)\n", "regplot = sns.regplot(x = 'Year', y = 'Average Temperature', data = meltCov, lowess = True, scatter=False, ax=g.axes[0, 0], color='k')\n", "regplot.set(ylim=(0, 30), xlim=(1870,2040))\n", "plt.show()" ] }, { "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": "2.7.10" } }, "nbformat": 4, "nbformat_minor": 2 }