Gravity model in the Korean highway

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Abstract
We investigate the traffic flows of the Korean highway system, which contains both public and private transportation information. We find that the traffic flow Tij between city i and j forms a gravity model, the metaphor of physical gravity as described in Newton's law of gravity, PiPj/r2ij, where Pi represents the population of city i and rij the distance between cities i and j. It is also shown that the highway network has a heavy tail even though the road network is a rather uniform and homogeneous one. Compared to the highway network, air and public ground transportation establish inhomogeneous systems and have power-law behaviors.
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