*(For more resources on Python, see here.)*

# Working with Shapely geometries

Shapely is a very capable library for performing various calculations on geo-spatial data. Let’s put it through its paces with a complex, real-world problem.

## Task: Identify parks in or near urban areas

The U.S. Census Bureau makes available a Shapefile containing something called **Core Based Statistical Areas** (CBSAs), which are polygons defining urban areas with a population of 10,000 or more. At the same time, the GNIS website provides lists of placenames and other details. Using these two datasources, we will identify any parks within or close to an urban area.

*Because of the volume of data we are potentially dealing with, we will limit our search to California. Feel free to download the larger data sets if you want, though you will have to optimize the code or your program will take a very long time to check all the CBSA polygon/placename combinations.*

- Let’s start by downloading the necessary data. Go to the TIGER website at

http://census.gov/geo/www/tiger - Click on the
**2009 TIGER/Line Shapefiles Main Page**link, then follow the**Download the 2009 TIGER/Line Shapefiles now**link. - Choose
**California**from the pop-up menu on the right, and click on**Submit**. A list of the California Shapefiles will be displayed; the Shapefile you want is labelled**Metropolitan/Micropolitan Statistical Area**. Click on this link, and you will download a file named*tl_2009_06_cbsa.zip*. Once the file has downloaded, uncompress it and place the resulting Shapefile into a convenient location so that you can work with it. - You now need to download the GNIS placename data for California. Go to the GNIS website:

http://geonames.usgs.gov/domestic - Click on the
**Download Domestic Names**hyperlink, and then choose**California**from the pop-up menu. You will be prompted to save the*CA_Features_XXX.zip*file. Do so, then decompress it and place the resulting*CA_Features_XXX.txt*file into a convenient place.*The XXX in the above file name is a date stamp, and will vary depending on when you download the data. Just remember the name of the file as you’ll need to refer to it in your source code.* - We’re now ready to write the code. Let’s start by reading through the CBSA urban area Shapefile and extracting the polygons that define the boundary of each urban area:
shapefile = osgeo.ogr.Open("tl_2009_06_cbsa.shp")

layer = shapefile.GetLayer(0)

for i in range(layer.GetFeatureCount()):

feature = layer.GetFeature(i)

geometry = feature.GetGeometryRef()

...*Make sure you add directory paths to your osgeo.ogr.Open() statement (and to the file() statement below) to match where you’ve placed these files.* - Using what we learned in the previous section, we can convert this geometry into a Shapely object so that we can work with it:
wkt = geometry.ExportToWkt()

shape = shapely.wkt.loads(wkt) - Next, we need to scan through the
*CA_Features_XXX.txt*file to identify the features marked as a park. For each of these features, we want to extract the name of the feature and its associated latitude and longitude. Here’s how we might do this:f = file("CA_Features_XXX.txt", "r")

for line in f.readlines():

chunks = line.rstrip().split("|")

if chunks[2] == "Park":

name = chunks[1] latitude = float(chunks[9])

longitude = float(chunks[10])

...*Remember that the GNIS placename database is a pipedelimited text file. That’s why we have to split the line up using line.rstrip().split(“|”).* - Now comes the fun part—we need to figure out which parks are within or close to each urban area. There are two ways we could do this, either of which will work:
- We could use the
*shape.distance()*method to calculate the distance between the shape and a*Point*object representing the park’s location: - We could
*dilate*the polygon using the*shape.buffer()*method, and then see if the resulting polygon contained the desired point:

- We could use the

The second option is faster when dealing with a large number of points as we can pre-calculate the dilated polygons and then use them to compare against each point in turn. Let’s take this option:

# findNearbyParks.py

import osgeo.ogr

import shapely.geometry

import shapely.wkt

MAX_DISTANCE = 0.1 # Angular distance; approx 10 km.

print "Loading urban areas..."

urbanAreas = {} # Maps area name to Shapely polygon.

shapefile = osgeo.ogr.Open("tl_2009_06_cbsa.shp")

layer = shapefile.GetLayer(0)

for i in range(layer.GetFeatureCount()):

feature = layer.GetFeature(i)

name = feature.GetField("NAME")

geometry = feature.GetGeometryRef()

shape = shapely.wkt.loads(geometry.ExportToWkt())

dilatedShape = shape.buffer(MAX_DISTANCE)

urbanAreas[name] = dilatedShape

print "Checking parks..."

f = file("CA_Features_XXX.txt", "r")

for line in f.readlines():

chunks = line.rstrip().split("|")

if chunks[2] == "Park":

parkName = chunks[1] latitude = float(chunks[9])

longitude = float(chunks[10])

pt = shapely.geometry.Point(longitude, latitude)

for urbanName,urbanArea in urbanAreas.items():

if urbanArea.contains(pt):

print parkName + " is in or near " + urbanName

f.close()

*Don’t forget to change the name of the CA_Features_XXX.txt file to match the actual name of the file you downloaded. You may also need to change the path names to the tl_2009_06_CBSA.shp file and the CA_Features file if you placed them in a different directory.*

If you run this program, you will get a master list of all the parks that are in or close to an urban area:

% python findNearbyParks.py

Loading urban areas...

Checking parks...

Imperial National Wildlife Refuge is in or near El Centro, CA

TwinLakesStateBeach is in or near Santa Cruz-Watsonville, CA

AdmiralWilliamStandleyState Recreation Area is in or near Ukiah, CA

Agate Beach County Park is in or near San Francisco-Oakland-Fremont, CA

...

Note that our program uses **angular distances** to decide if a park is in or near a given urban area. An angular distance is the angle (in decimal degrees) between two rays going out from the center of the Earth to the Earth’s surface. Because a degree of angular measurement (at least for the latitudes we are dealing with here) roughly equals 100 km on the Earth’s surface, an angular measurement of 0.1 roughly equals a real distance of 10 km.

Using angular measurements makes the distance calculation easy and quick to calculate, though it doesn’t give an exact distance on the Earth’s surface. If your application requires exact distances, you could start by using an angular distance to filter out the features obviously too far away, and then obtain an exact result for the remaining features by calculating the point on the polygon’s boundary that is closest to the desired point, and then calculating the linear distance between the two points. You would then discard the points that exceed your desired exact linear distance.

# Converting and standardizing units of geometry and distance

Imagine that you have two points on the Earth’s surface with a straight line drawn between them:

Each point can be described as a coordinate using some arbitrary coordinate system (for example, using latitude and longitude values), while the length of the straight line could be described as the distance between the two points.

Given any two coordinates, it is possible to calculate the distance between them. Conversely, you can start with one coordinate, a desired distance and a direction, and then calculate the coordinates for the other point.

*Of course, because the Earth’s surface is not flat, we aren’t really dealing with straight lines at all. Rather, we are calculating geodetic or Great Circle distances across the surface of the Earth.*

The *pyproj* Python library allows you to perform these types of calculations for any given datum. You can also use *pyproj* to convert from projected coordinates back to geographic coordinates, and *vice versa*, allowing you to perform these sorts of calculations for any desired datum, coordinate system, and projection.

Ultimately, a geometry such as a line or a polygon consists of nothing more than a list of connected points. This means that, using the above process, you can calculate the geodetic distance between each of the points in any polygon and total the results to get the actual length for any geometry. Let’s use this knowledge to solve a realworld problem.