IPython notebook to explore bivariate mapping
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Bivariate map
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{ | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"### Bivariate maps" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"* Bivariate choropleth maps\n", | |
" * http://indiemapper.com/app/learnmore.php?l=bivariate_choropleth\n", | |
" * <img src=\"http://indiemapper.com/app/images/divxdiv.png\" align=\"left\"><img src=\"http://indiemapper.com/app/images/seqxseq.png\">\n", | |
"\n", | |
"* Bivariate colour maps for visualizing climate data\n", | |
" * http://www.iac.ethz.ch/doc/publications/2153_ftp.pdf\n", | |
"\n", | |
"* Bivariate Choropleth Maps: A How-to Guide\n", | |
" * http://www.joshuastevens.net/cartography/make-a-bivariate-choropleth-map\n", | |
" * <img src=\"http://www.joshuastevens.net/images/js_bivariatePalettes.png\" align=\"left\">\n" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"#### With ferret" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [], | |
"source": [ | |
"%load_ext ferretmagic" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
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"\"/></div>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"%%ferret -q -s 500,500\n", | |
"\n", | |
"def axis/x=1:3:1 myxaxis\n", | |
"def axis/y=1:3:1 myyaxis\n", | |
"let a=reshape(i[i=1:9],x[gx=myxaxis]*y[gy=myyaxis])\n", | |
"set viewport UR\n", | |
"go ratio_set 1\n", | |
"shade/noaxis/lev=(1,10,1)/pal=bivariate_pal01_9levels.spk/nolab a\n", | |
"set viewport UL\n", | |
"go ratio_set 1\n", | |
"shade/noaxis/lev=(1,10,1)/pal=bivariate_pal02_9levels.spk/nolab a\n", | |
"set viewport LL\n", | |
"go ratio_set 1\n", | |
"shade/noaxis/lev=(1,10,1)/pal=bivariate_pal03_9levels.spk/nolab a\n", | |
"set viewport LR\n", | |
"go ratio_set 1\n", | |
"shade/noaxis/lev=(1,10,1)/pal=bivariate_pal04_9levels.spk/nolab a" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 5, | |
"metadata": { | |
"collapsed": false, | |
"scrolled": true | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/html": [ | |
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"\"/></div>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"%%ferret -q -s 800,600\n", | |
"use map_ph4.nc\n", | |
"use map_sst4.nc\n", | |
"\n", | |
"let V1 = MAP_SST[d=2]\n", | |
"let V2 = MAP_PH[D=1,GT=MAP_SST[D=2]@ASN]\n", | |
"let MASK = IF v2 NE 0 THEN 1\n", | |
"\n", | |
"let V1m = MAP_SST*MASK\n", | |
"let V1m = V1*MASK\n", | |
"let V2m = V2*MASK\n", | |
"\n", | |
"! V1m and V2m have each 3 categories (0,1,2)\n", | |
"let MAP = V2m*3 + V1m + 1\n", | |
"\n", | |
"set viewport full\n", | |
"\n", | |
"set grid MAP\n", | |
"go mp_robinson_like 0 \n", | |
"set region/x=-180:180/y=-90:90\n", | |
"\n", | |
"shade/noaxis/nolab/lev=(1,10,1)/pal=bivariate_pal04_9levels.spk/nokey MAP, x_page, y_page\n", | |
"\n", | |
"go mp_land\n", | |
"ppl color 4, 50, 50, 50\n", | |
"go mp_graticule -180 180 30 -90 90 30 4/dash=(0.05,0.05,0.05,0.05)\n", | |
"go mp_graticule -180 180 360 -90 90 180\n", | |
"\n", | |
"def viewport/x=0.8:1.0/y=0.0:0.2 mylegend\n", | |
"set viewport mylegend\n", | |
"go ratio_set 1 0\n", | |
"shade/noaxis/lev=(1,10,1)/pal=bivariate_pal04_9levels.spk/nolab/nokey a" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"#### With matplotlib" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 6, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [], | |
"source": [ | |
"import matplotlib.pyplot as plt\n", | |
"from mpl_toolkits.basemap import Basemap, shiftgrid, addcyclic\n", | |
"import numpy as np\n", | |
"import netCDF4\n", | |
"%matplotlib inline" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 7, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"[u'LONGITUDE', u'LATITUDE', u'LEV1_1', u'LEV1_1_bnds', u'TIME', u'MAP_PH']\n", | |
"[u'LONGITUDE', u'LATITUDE', u'LEV1_1', u'LEV1_1_bnds', u'TIME', u'MAP_SST']\n" | |
] | |
} | |
], | |
"source": [ | |
"f1=netCDF4.Dataset(\"map_ph4.nc\")\n", | |
"print f1.variables.keys()\n", | |
"lon = f1.variables['LONGITUDE'][:]\n", | |
"lat = f1.variables['LATITUDE'][:]\n", | |
"ph = f1.variables['MAP_PH'][0,0]\n", | |
"\n", | |
"f2=netCDF4.Dataset(\"map_sst4.nc\")\n", | |
"print f2.variables.keys()\n", | |
"sst = f2.variables['MAP_SST'][0,0]" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 8, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [], | |
"source": [ | |
"import numpy as np\n", | |
"\n", | |
"ph = np.ma.masked_equal(ph, 0)\n", | |
"var = sst + ph*3 + 1" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 9, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [], | |
"source": [ | |
"# Used gimp and color picker tool to get HTML color codes\n", | |
"colors = [\"#e8e8e8\", \"#e4daa6\", \"#c7b448\", \"#cab8da\", \"#c7ad9e\", \"#ae8f49\", \"#9771b4\", \"#956b84\", \"#7e4e32\"]" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 10, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
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], | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7fb7a0d0e5d0>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"from matplotlib.colors import ListedColormap\n", | |
"\n", | |
"cmap = ListedColormap(colors)\n", | |
"\n", | |
"plt.figure(figsize=(15,10))\n", | |
"map = Basemap(projection='robin', lat_0=0, lon_0=0, resolution='c')\n", | |
"\n", | |
"#---------------\n", | |
"#map.drawcoastlines(linewidth=0.25)\n", | |
"# http://stackoverflow.com/questions/14280312/world-map-without-rivers-with-matplotlib-basemap\n", | |
"coasts = map.drawcoastlines(zorder=1,color='white',linewidth=0)\n", | |
"coasts_paths = coasts.get_paths()\n", | |
"\n", | |
"ipolygons = range(83) + [84] # want Baikal, but not Tanganyika\n", | |
"# 80 = Superior+Michigan+Huron, 81 = Victoria, 82 = Aral, 83 = Tanganyika,\n", | |
"# 84 = Baikal, 85 = Great Bear, 86 = Great Slave, 87 = Nyasa, 88 = Erie\n", | |
"# 89 = Winnipeg, 90 = Ontario\n", | |
"for ipoly in ipolygons:\n", | |
" r = coasts_paths[ipoly]\n", | |
" # Convert into lon/lat vertices\n", | |
" polygon_vertices = [(vertex[0],vertex[1]) for (vertex,code) in\n", | |
" r.iter_segments(simplify=False)]\n", | |
" px = [polygon_vertices[i][0] for i in xrange(len(polygon_vertices))]\n", | |
" py = [polygon_vertices[i][1] for i in xrange(len(polygon_vertices))]\n", | |
" map.plot(px,py,linewidth=0.5,zorder=3,color='black')\n", | |
"#---------------\n", | |
"\n", | |
"map.drawmeridians(np.arange(0, 360, 30))\n", | |
"map.drawparallels(np.arange(-90, 90, 30))\n", | |
"\n", | |
"lons, lats = np.meshgrid(lon, lat)\n", | |
"\n", | |
"map.pcolormesh(lons, lats, var, cmap=cmap, vmin=1, vmax=10, latlon=True)\n", | |
"\n", | |
"plt.colorbar(orientation='horizontal')\n", | |
"\n", | |
"plt.show()" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"#### Bivariate process could also used 16 colors palette (variables should have 4 categories)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 11, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"The ferretmagic extension is already loaded. To reload it, use:\n", | |
" %reload_ext ferretmagic\n" | |
] | |
} | |
], | |
"source": [ | |
"%load_ext ferretmagic" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 12, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
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"KXCajZQAAAAASUVORK5CYII=\n", | |
"\"/></div>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"%%ferret -q -s 500,500\n", | |
"\n", | |
"def axis/x=1:4:1 myxaxis\n", | |
"def axis/y=1:4:1 myyaxis\n", | |
"let b=reshape(i[i=1:16],x[gx=myxaxis]*y[gy=myyaxis])\n", | |
"set viewport right\n", | |
"go ratio_set 1\n", | |
"shade/noaxis/lev=(1,17,1)/pal=bivariate_seqxseq_16levels/nolab b\n", | |
"set viewport left\n", | |
"go ratio_set 1\n", | |
"shade/noaxis/lev=(1,17,1)/pal=bivariate_divxdiv_16levels/nolab b" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 14, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"* * * * * * * * in /home/brock/fast\r\n", | |
"bivariate_divxdiv_16levels.spk: \r\n", | |
"bivariate_pal01_9levels.spk: \r\n", | |
"bivariate_pal02_9levels.spk: \r\n", | |
"bivariate_pal03_9levels.spk: \r\n", | |
"bivariate_pal04_9levels.spk: \r\n", | |
"bivariate_seqxseq_16levels.spk: \r\n", | |
" \r\n" | |
] | |
} | |
], | |
"source": [ | |
"!Fpalette bivariate" | |
] | |
}, | |
{ | |
"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 | |
} |
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