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@pelson
Last active July 6, 2021 12:42
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Creating a shapefile representing the coastline segments of the US states.
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"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"I needed a shapefile containing the US states and their associated coastline - that is, I don't want the boundaries of the states, rather the intersection of the boundaries and the coastline, for each state.\n",
"\n",
"First, I want to get hold of a reasonable resolution dataset - the Natural Earth states/provinces dataset at the 1:50,000,000 scale should suffice. Cartopy provides a convenient interface to the Natural Earth data, downloading the data if it hasn't already been cached on disk:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import cartopy.crs as ccrs\n",
"import cartopy.io.shapereader as shpreader\n",
"\n",
"shapename = 'admin_1_states_provinces_lakes_shp'\n",
"states_shp = shpreader.natural_earth(resolution='50m',\n",
" category='cultural', name=shapename)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Next, I want to get hold of the coastline dataset at the same resolution:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"coastline_shp = shpreader.natural_earth(resolution='50m',\n",
" category='physical', name='coastline')"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Given the filenames in ``states_shp`` and ``coastline_shp`` respectively, let's use cartopy's shapereader to conveniently access the shapefile's records and associated geometries (noting that there is one record per state)."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"states = [record for record in shpreader.Reader(states_shp).records()\n",
" if record.attributes['iso_a2'] == 'US']\n",
"\n",
"coastline = list(shpreader.Reader(coastline_shp).geometries())"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 3
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Note that ``states`` is a list of \"records\" (which has a ``geometry`` attribute) and ``coastline`` is a list of geometry instances."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"len(states), len(coastline), "
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 4,
"text": [
"(51, 1428)"
]
}
],
"prompt_number": 4
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The coastline has been split apart for storage and processing reasons, but let's now join it back together into a single geometry - this will make computing intersections more convenient."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import shapely.geometry as sgeom\n",
"from shapely.ops import cascaded_union\n",
"\n",
"coastline = cascaded_union(coastline)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 5
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Since we're only concerned with the US states, let's reduce some of the complexity within the shape by removing anything outside of a given bounding box."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"coastline = coastline.intersection(sgeom.box(-180, -45, 0, 85))"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 6
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## A wrong turn\n",
"\n",
"If we try to na\u00efvely intesect the coastline and each state's geometry, we end up with broken coastlines:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Compute the intersection of the states and coastlines.\n",
"coastal_states_bad = [coastline.intersection(state.geometry) for state in states]"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 7
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%matplotlib inline\n",
"\n",
"import matplotlib.pyplot as plt\n",
"plt.figure(figsize=(10, 10))\n",
"ax = plt.axes(projection=ccrs.PlateCarree())\n",
"\n",
"ax.add_geometries(coastal_states_bad,\n",
" ccrs.PlateCarree(),\n",
" facecolor='none', edgecolor='gray', linewidth=1)\n",
"\n",
"ax.set_extent([-85, -79, 24, 31])\n",
"plt.title('Bad intersections around Florida')\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
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wichivve975n+/8EoW6XijyGi4eAIm4iEeHRanIiGxsImIiFUKhW6u7tFxyCyGSxsIhIi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\n",
"text": [
"<matplotlib.figure.Figure at 0x23d3790>"
]
}
],
"prompt_number": 8
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Presumably this is due to the coastline dataset and the state dataset not being exactly co-incident."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Computing the intersection of state and coastline successfully\n",
"\n",
"One way around the data being not quite co-incident would be to buffer the coastline data by a sufficiently small amount such that the buffered coastline **does** intersect with all of the state data."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"coastline_buf = coastline.buffer(0.0001)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 9
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Compute the intersection of the states and coastlines.\n",
"coastal_states = [coastline_buf.intersection(state.geometry) for state in states]"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 10
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plt.figure(figsize=(10, 10))\n",
"ax = plt.axes(projection=ccrs.PlateCarree())\n",
"\n",
"ax.add_geometries(coastal_states,\n",
" ccrs.PlateCarree(),\n",
" facecolor='none', edgecolor='gray', linewidth=1)\n",
"\n",
"ax.set_extent([-85, -79, 24, 31])\n",
"plt.title('Good intersections around Florida')\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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N4ujRo6bjiFy2du3akZCQoFu8xG2psKXQ7r77bnx9fRk/fjwpKSmm44hclnbt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\nRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x3eb1750>"
]
}
],
"prompt_number": 11
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The benefit of doing the buffering on the coastline geometry rather than the state geometry is that the intersection of the two will result in the exact points found in the original states shapefile. Of course, if we wanted to have state coastlines which were exactly co-incident with the coastline shapefile, we can simply switch the geometry that we buffer.\n",
"\n",
"The downside of having to buffer the coastline in this way is that as the buffer size grows, so too does the number of identified \"coastal\" points which are actually inland. If this became a serious problem, we could potentially compute the union of the states and do a final intersection with its exterior to identify only \"exterior\" coastline points for each state. The buffer in this case was so small, that I didn't need to worry about this for my case."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Creating the shapefile\n",
"\n",
"Ok, so we've now done a reasonable investigation of the processing needed to compute the desired geometries, we now want to write those geometries back out to a shapefile. To do this, we are going to want to use Fiona.\n",
"\n",
"Let's re-read the states shapefile, iteration through all of the US states, computing the intersection with the buffered coastline, and then save to a new shapefile with all of the original metadata intact."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import fiona\n",
"\n",
"new_shapefile = 'state_coastlines.shp'\n",
"\n",
"with fiona.open(states_shp, 'r') as source:\n",
" # Create a sink for processed features with the same format and\n",
" # coordinate reference system as the source.\n",
" with fiona.open(new_shapefile, 'w',\n",
" crs=source.crs,\n",
" driver=source.driver,\n",
" schema=source.schema) as sink:\n",
"\n",
" for feature in source:\n",
" # We only want US states.\n",
" if feature['properties']['iso_a2'] != 'US':\n",
" continue\n",
"\n",
" # Convert the feature's geometry into a shapely geometry.\n",
" geom = sgeom.shape(feature['geometry'])\n",
"\n",
" # Compute the state's coastline.\n",
" state_coast = geom.intersection(coastline_buf)\n",
" \n",
" # Only store non-empty state coastlines.\n",
" if state_coast.is_empty:\n",
" continue\n",
" \n",
" # Convert the shapely geometry back to a representation\n",
" # suitable for a feature, and put it back into\n",
" # the original feature.\n",
" feature['geometry'] = sgeom.mapping(state_coast)\n",
" \n",
" # Finally, add the new geometry to the new file.\n",
" sink.write(feature)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 12
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's confirm that the shapefile contains the information we were after by plotting it."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"state_coastlines = {record.attributes['name']: record.geometry\n",
" for record in shpreader.Reader(new_shapefile).records()}\n",
"\n",
"print 'Number of states with coastline components:', len(state_coastlines)\n",
"print 'They are:', ', '.join(sorted(state_coastlines))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Number of states with coastline components: 25\n",
"They are: Alabama, Alaska, California, Connecticut, Delaware, District of Columbia, Florida, Georgia, Hawaii, Louisiana, Maine, Maryland, Massachusetts, Mississippi, New Hampshire, New Jersey, New York, North Carolina, Oregon, Pennsylvania, Rhode Island, South Carolina, Texas, Virginia, Washington\n"
]
}
],
"prompt_number": 13
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plt.figure(figsize=(15, 15))\n",
"ax = plt.axes(projection=ccrs.PlateCarree())\n",
"\n",
"ax.coastlines('50m', color='gray', alpha=0.5)\n",
"\n",
"ax.add_geometries(state_coastlines.values(),\n",
" ccrs.PlateCarree(),\n",
" facecolor='none', edgecolor='red', linewidth=2)\n",
"\n",
"ax.add_geometries([state_coastlines['Florida']],\n",
" ccrs.PlateCarree(),\n",
" facecolor='none', edgecolor='blue', linewidth=3)\n",
"\n",
"ax.set_extent([-180, -60, 10, 70])\n",
"plt.title(\"US States intersected with coastlines (Red).\\n\"\n",
" \"Florida's coastline is in blue.\")\n",
"plt.show()\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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09vYimUyiqKgIxcXFEIlEF6T/55tMJoP9+/fn1IGjZCty0vufEIJkMgmhUJhT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\n",
"text": [
"<matplotlib.figure.Figure at 0x3e91690>"
]
}
],
"prompt_number": 14
}
],
"metadata": {}
}
]
}
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