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4.2 Map Projections.ipynb
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{
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"colab": {
"name": "4.2 Map Projections.ipynb",
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"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/mehak-sachdeva/c94c0268ea8eaa6907319d27674db0d5/4-2-map-projections.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
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},
{
"cell_type": "markdown",
"metadata": {
"id": "_sC-xAGGtw8S"
},
"source": [
"<a href=\"https://colab.research.google.com/github/mehak-sachdeva/ASU-GIS-322-Fall-19/blob/master/notebooks/4_2_Map_Projections.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "IYFzqfXls9ox"
},
"source": [
"\n",
"\n",
"Managing Projections\n",
"=========================================\n",
"http://geopandas.org/projections.html\n",
"\n",
"\n",
"Coordinate Reference Systems\n",
"-----------------------------\n",
"\n",
"CRS are important because the geometric shapes in a GeoSeries or GeoDataFrame object are simply a collection of coordinates in an arbitrary space. A CRS tells Python how those coordinates related to places on the Earth.\n",
"\n",
"CRS are referred to using codes called `proj4 strings` <https://en.wikipedia.org/wiki/PROJ.4>. You can find the codes for most commonly used projections from `www.spatialreference.org` <http://spatialreference.org/>_.\n",
"\n",
"The same CRS can often be referred to in many ways. For example, one of the most commonly used CRS is the WGS84 latitude-longitude projection. One `proj4` representation of this projection is: ``\"+proj=longlat +ellps=WGS84 +datum=WGS84 +no_defs\"``. But common projections can also be referred to by `EPSG` codes, so this same projection can also called using the `proj4` string ``\"+init=epsg:4326\"``.\n",
"\n",
"*geopandas* can accept lots of representations of CRS, including the `proj4` string itself (``\"+proj=longlat +ellps=WGS84 +datum=WGS84 +no_defs\"``) or parameters broken out in a dictionary: ``{'proj': 'latlong', 'ellps': 'WGS84', 'datum': 'WGS84', 'no_defs': True}``). In addition, some functions will take `EPSG` codes directly.\n",
"\n",
"For reference, a few very common projections and their proj4 strings:\n",
"\n",
"* WGS84 Latitude/Longitude: ``\"+proj=longlat +ellps=WGS84 +datum=WGS84 +no_defs\"`` or ``\"+init=epsg:4326\"``\n",
"* UTM Zones (North): ``\"+proj=utm +zone=33 +ellps=WGS84 +datum=WGS84 +units=m +no_defs\"``\n",
"* UTM Zones (South): ``\"+proj=utm +zone=33 +ellps=WGS84 +datum=WGS84 +units=m +no_defs +south\"``\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "gSSG6eOBs9o4"
},
"source": [
"Setting a Projection\n",
"----------------------\n",
"\n",
"There are two relevant operations for projections: setting a projection and re-projecting.\n",
"\n",
"Setting a projection may be necessary when for some reason *geopandas* has coordinate data (x-y values), but no information about how those coordinates refer to locations in the real world. Setting a projection is how one tells *geopandas* how to interpret coordinates. If no CRS is set, *geopandas* geometry operations will still work, but coordinate transformations will not be possible and exported files may not be interpreted correctly by other software.\n",
"\n",
"Be aware that **most of the time** you don't have to set a projection. Data loaded from a reputable source (using the ``from_file()`` command) *should* always include projection information. You can see an objects current CRS through the ``crs`` attribute: ``my_geoseries.crs``.\n",
"\n",
"From time to time, however, you may get data that does not include a projection. In this situation, you have to set the CRS so *geopandas* knows how to interpret the coordinates.\n",
"\n",
"For example, if you convert a spreadsheet of latitudes and longitudes into a GeoSeries by hand, you would set the projection by assigning the WGS84 latitude-longitude CRS to the ``crs`` attribute:\n",
"\n",
" `my_geoseries.crs = {'init' :'epsg:4326'}`\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "htIDCcBks9o6"
},
"source": [
"\n",
"Re-Projecting\n",
"----------------\n",
"\n",
"Re-projecting is the process of changing the representation of locations from one coordinate system to another. All projections of locations on the Earth into a two-dimensional plane `are distortions` <https://en.wikipedia.org/wiki/Map_projection#Which_projection_is_best.3F>, the projection that is best for your application may be different from the projection associated with the data you import. In these cases, data can be re-projected using the ``to_crs`` command:\n"
]
},
{
"cell_type": "code",
"metadata": {
"id": "563dsmvws9o_",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 622
},
"outputId": "3e0ecc6b-1fc5-4d22-eb56-2430a59bd682"
},
"source": [
"!pip install geopandas\n",
"import geopandas"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"Collecting geopandas\n",
"\u001b[?25l Downloading https://files.pythonhosted.org/packages/51/10/9b2f2f6e35cc0e427f43faf59c56931709996ad2ffe4440fda2f5c53554f/geopandas-0.6.0-py2.py3-none-any.whl (918kB)\n",
"\u001b[K |████████████████████████████████| 921kB 4.8MB/s \n",
"\u001b[?25hRequirement already satisfied: shapely in /usr/local/lib/python3.6/dist-packages (from geopandas) (1.6.4.post2)\n",
"Collecting fiona (from geopandas)\n",
"\u001b[?25l Downloading https://files.pythonhosted.org/packages/1e/cf/a1f22d87223cb4f48beecf4de6eb59e5261a7d0d073489bbe7cfe6514ae3/Fiona-1.8.8-1-cp36-cp36m-manylinux1_x86_64.whl (11.9MB)\n",
"\u001b[K |████████████████████████████████| 11.9MB 21.0MB/s \n",
"\u001b[?25hCollecting pyproj (from geopandas)\n",
"\u001b[?25l Downloading https://files.pythonhosted.org/packages/7a/b1/ab67ad924770e1c1432fa0953a665b8ea193b60c7494457b69da052d6e83/pyproj-2.4.0-cp36-cp36m-manylinux1_x86_64.whl (10.1MB)\n",
"\u001b[K |████████████████████████████████| 10.1MB 4.6MB/s \n",
"\u001b[?25hRequirement already satisfied: pandas>=0.23.0 in /usr/local/lib/python3.6/dist-packages (from geopandas) (0.24.2)\n",
"Requirement already satisfied: six>=1.7 in /usr/local/lib/python3.6/dist-packages (from fiona->geopandas) (1.12.0)\n",
"Requirement already satisfied: attrs>=17 in /usr/local/lib/python3.6/dist-packages (from fiona->geopandas) (19.1.0)\n",
"Collecting munch (from fiona->geopandas)\n",
" Downloading https://files.pythonhosted.org/packages/68/f4/260ec98ea840757a0da09e0ed8135333d59b8dfebe9752a365b04857660a/munch-2.3.2.tar.gz\n",
"Requirement already satisfied: click<8,>=4.0 in /usr/local/lib/python3.6/dist-packages (from fiona->geopandas) (7.0)\n",
"Collecting cligj>=0.5 (from fiona->geopandas)\n",
" Downloading https://files.pythonhosted.org/packages/e4/be/30a58b4b0733850280d01f8bd132591b4668ed5c7046761098d665ac2174/cligj-0.5.0-py3-none-any.whl\n",
"Collecting click-plugins>=1.0 (from fiona->geopandas)\n",
" Downloading https://files.pythonhosted.org/packages/e9/da/824b92d9942f4e472702488857914bdd50f73021efea15b4cad9aca8ecef/click_plugins-1.1.1-py2.py3-none-any.whl\n",
"Requirement already satisfied: python-dateutil>=2.5.0 in /usr/local/lib/python3.6/dist-packages (from pandas>=0.23.0->geopandas) (2.5.3)\n",
"Requirement already satisfied: pytz>=2011k in /usr/local/lib/python3.6/dist-packages (from pandas>=0.23.0->geopandas) (2018.9)\n",
"Requirement already satisfied: numpy>=1.12.0 in /usr/local/lib/python3.6/dist-packages (from pandas>=0.23.0->geopandas) (1.16.5)\n",
"Building wheels for collected packages: munch\n",
" Building wheel for munch (setup.py) ... \u001b[?25l\u001b[?25hdone\n",
" Created wheel for munch: filename=munch-2.3.2-py2.py3-none-any.whl size=6614 sha256=a7797620e4f1cf5d9918ede62c0dc57ceec33a03dc14e40dd42cfe08edac63b2\n",
" Stored in directory: /root/.cache/pip/wheels/db/bf/bc/06a3e1bfe0ab27d2e720ceb3cff3159398d92644c0cec2c125\n",
"Successfully built munch\n",
"Installing collected packages: munch, cligj, click-plugins, fiona, pyproj, geopandas\n",
"Successfully installed click-plugins-1.1.1 cligj-0.5.0 fiona-1.8.8 geopandas-0.6.0 munch-2.3.2 pyproj-2.4.0\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "PrVJEIt-s9pP"
},
"source": [
"%matplotlib inline"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "5s-1E7sls9pZ"
},
"source": [
"# load example data\n",
"world = geopandas.read_file(geopandas.datasets.get_path('naturalearth_lowres'))"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "mK8Kpf-rs9pg",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 34
},
"outputId": "242b4a8b-7b47-4eb8-93cc-ec16f6d4688c"
},
"source": [
"# Check original projection\n",
"# (it's Platte Carre! x-y are long and lat)\n",
"world.crs"
],
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"{'init': 'epsg:4326'}"
]
},
"metadata": {
"tags": []
},
"execution_count": 5
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "fq2xXjSxs9pp",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 225
},
"outputId": "55f6d07c-42f1-4b90-8b97-5e10b1d0e22b"
},
"source": [
"# Visualize\n",
"ax = world.plot()\n",
"ax.set_title(\"WGS84 (lat/lon)\");"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
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Ti4r6ZJ6cNyGD8yZk9Bm7zR3kyVWV7GpwsqvRhVWvxqBRDpmDezLwh6P8Z3M9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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "xbTT8ymms9ps",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 293
},
"outputId": "6968985f-e538-47e4-bc3e-7d405c2c767c"
},
"source": [
"# Reproject to Mercator (after dropping Antartica)\n",
"world = world[(world.name != \"Antarctica\") & (world.name != \"Fr. S. Antarctic Lands\")]\n",
"world = world.to_crs({'init': 'epsg:3395'}) # world.to_crs(epsg=3395) would also work\n",
"ax = world.plot()\n",
"ax.set_title(\"Mercator\");"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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exQn88TzHAm994fxJ4UNq/GfE+JEY4sWl07purXi6095iUyGsfXSdRavBzH9O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\nTkSuQmCC\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "f_oep1Rvs9pw"
},
"source": [
""
],
"execution_count": null,
"outputs": []
}
]
}
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