Mathematica has provided excellent database of the countries in the function CountryData. I am particularly interested in the trade relations. CountryData[
country, "ImportPartners"] and CountryData[
country, "ExportPartners"] produce the leading import and export partners of the
country. We can construct a graph based on the global trade relations.
trade =
Tally[Sort /@
Flatten[Tuples[{{#},
Select[Flatten[{CountryData[#,
"ImportPartners"] /. _Missing -> Null,
CountryData[#, "ExportPartners"] /. _Missing -> Null}],
MemberQ[CountryData[], #] &]}] & /@ CountryData[], 1]];
tradegraph =
Graph[Thread[
trade[[All, 1, 1]] \[UndirectedEdge]
trade[[All, 1, 2]]],
EdgeWeight -> trade[[All, 2]]]
|
Fig. 1, the graph of the international trade relations. |
We can make it more accessible by coloring the countries.
by continent:
Row[
{Graph[Thread[
trade[[All, 1, 1]] \[UndirectedEdge]
trade[[All, 1, 2]]],
EdgeWeight -> trade[[All, 2]],
VertexShapeFunction -> ({ColorData[3,
First@First@
Position[CountryData["Continents"],
CountryData[#2, "Continent"] ]], Opacity[.8],
EdgeForm[{Thin, LightGray}], Disk[#, .08], Darker@Red,
Opacity[1.0],
Text[Style[CountryData[#2, "CountryCode"], Bold], #1] } &),
ImageSize -> 800],
Graphics[
MapIndexed[{ColorData[3, First@#2],
Text[Style[
StringJoin[
Riffle[StringCases[#1, RegularExpression["[A-Z][a-z]+"]],
" "]], Bold, 22], {40, First@#2*60}]} &,
CountryData["Continents"]],
ImageSize -> {Automatic, 300}]
}]
|
Fig. 2, (Colored by Continent) the graph of the international trade relations. |
by trade values,
|
Fig. 3, (Colored by Continent) the graph of the international trade relations. |
|
Fig. 4, colored by the import and export amount separated. |
We can explore some further graph structures inside the international trade relations. What we focus here is the the graph communities. The communities characterize the clustering property of a graph. Apply the Mathematica function FindGraphCommunities[], we obtain several trade clusters. The leading 3 communities correspond to the three known trade zones: the Transatlantic Trade Zone including US. and the European Union; the Asia-Pacific Trade Zone including China, Japan, Korea Australia and the ASEANs; the South-America Trade Zone including Brazil, Argentina etc. Our conclusion is further justified if we color the countries inside the trade zone by their continent (Fig. 6).
|
Fig. 5, the graph communities of the international trade relations. |
|
Fig. 6, trade communities and the geographic distribution. |
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