WeatherData
EntityProperty
EntityClass
Nearest
DistanceFunction
WarpingDistance
WarpingCorrespondence
CanonicalWarpingDistance
MatrixForm
CanonicalWarpingCorrespondence

Geography
Data Science

Compare Weather in Chicago and European Capitals

Find the city in the European Union with the closest temperatures to Chicago

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Use

WeatherData

to get the weekly temperature for the city of Chicago:

In[1]:=

chicagoTemp=WeatherData["Chicago","Temperature",{{2015,7},{2016,6},"Week"},"Value"];

Next, get a list of all capital cities in the European Union:

In[2]:=

capitals=

European Union

COUNTRIES



capital city

//Sort

Out[2]=



Amsterdam

Athens

Berlin

Bratislava

Brussels

Bucharest

Budapest

Copenhagen

Dublin

Helsinki

Lisbon

Ljubljana

Luxemburg

Madrid

Nicosia

Paris

Prague

Riga

Rome

Sofia

Stockholm

Tallinn

Valletta

Vienna

Vilnius

Warsaw

Zagreb



Find the temperature for each city:

In[3]:=

capitalsTemp=WeatherData[#,"Temperature",{{2015,7},{2016,6},"Week"},"Value"]#&/@capitals;

Use

WarpingDistance

to find the capital city that has the most similar temperatures to Chicago:

In[4]:=

nearest=First@Nearest[capitalsTemp,chicagoTemp,DistanceFunction(WarpingDistance[##]&)]

Out[4]=

Sofia

Visualize the similarity between the weekly temperature of the two cities:

In[5]:=

ListLinePlot{chicagoTemp,nearest/.(Reverse/@capitalsTemp)},



Out[5]=

Calculate pairwise distances in a matrix:

In[6]:=

dm=DistanceMatrix[Keys@capitalsTemp,DistanceFunction(QuantityMagnitude@WarpingDistance[##]&)];

Show a 7×7 submatrix of the distance matrix:

In[7]:=

MatrixForm[Take[dm,7,7]]

Out[7]//MatrixForm=

0.	201.53	93.46	131.42	32.17	146.03	143.44
201.53	0.	187.9	164.72	189.93	156.26	155.69
93.46	187.9	0.	102.46	84.36	112.72	111.34
131.42	164.72	102.46	0.	132.49	102.13	43.24
32.17	189.93	84.36	132.49	0.	145.89	143.46
146.03	156.26	112.72	102.13	145.89	0.	92.4
143.44	155.69	111.34	43.24	143.46	92.4	0.

Visualize the temperature similarity using a previously computed distance matrix:

In[8]:=

MatrixPlotdm,FrameTicks{{Transpose[{Range[Length@capitals],capitals}],None},{Transpose[{Range[Length@capitals],Rotate[#,π/2]&/@capitals}],None}},



Out[8]=

Related Symbols

WeatherData
EntityProperty
EntityClass
Nearest
DistanceFunction
WarpingDistance
WarpingCorrespondence
CanonicalWarpingDistance
MatrixForm
CanonicalWarpingCorrespondence

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Contributed by: Wolfram Staff

Wolfram Language Example Repository

Compare Weather in Chicago and European Capitals

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Publisher Information