WeatherData
EntityProperty
EntityClass
Nearest
DistanceFunction
WarpingDistance
WarpingCorrespondence
CanonicalWarpingDistance
MatrixForm
CanonicalWarpingCorrespondence

Geography
Data Science

Compare Weather in Chicago and European Capitals

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

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