Measuring geographic distance with scipy

Question:

I fail to use the outcome of scipy‘s pdist function. I am interested in the real geographic distance (preferred unit: km). Take the following coordinates:

from scipy.spatial.distance import pdist

coordinates = [ (42.057, -71.08), (39.132, -84.5155) ]
distance = pdist(coordinates)
print distance
# [ 13.75021037]

But what’s the unit? Google says the distance between these two points is 1179 km. How do I get there from 13.75021037?

Asked By: MERose

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Answers:

The pdist method from scipy does not support distance for lon, lat coordinates, as mentioned at the comments.

However, if you like to get the kind of distance matrix that pdist returns, you may use the pdist method and the distance methods provided at the geopy package. To do so, pdist allows to calculate distances with a custom function with two arguments (a lambda function).

Here is an example:

from scipy.spatial.distance import pdist
from geopy.distance import vincenty
import numpy as np

coordinates = np.array([[19.41133431, -99.17822823],
                        [19.434514  , -99.180934],
                        [19.380412  , -99.178789])

# Using the vincenty distance function.

m_dist = pdist(coordinates, # Coordinates matrix or tuples list
               # Vicenty distance in lambda function
               lambda u, v: vincenty(u, v).kilometers)
Answered By: RZRKAL

Using the latest Python 3, this now gives a deprecation warning. I actually found this answer by @cffk much easier to understand:

(pasting here for convenience)

>>> from geopy.distance import geodesic, great_circle
>>> p1 = (31.8300167,35.0662833) # (lat, lon) - https://goo.gl/maps/TQwDd
>>> p2 = (31.8300000,35.0708167) # (lat, lon) - https://goo.gl/maps/lHrrg
>>> geodesic(p1, p2).meters
429.1676644986777
>>> great_circle(p1, p2).meters
428.28877358686776
Answered By: Ryan Hunt