Browsing by Author "Aizawa, Hiroki"
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- How and where satellite cities form around a large city: bifurcation mechanism of a long narrow economyPublication . Ikeda, Kiyohiro; Aizawa, Hiroki; Gaspar, J. M.We investigate economic agglomerations in a long narrow economy, in which discrete locations are evenly spread over a line segment. The bifurcation mechanism of a monocentric city at the center is analyzed analytically to show how and where satellite cities form. This is an important step to elucidate the mechanism of the competition between a large central city and satellite cities, which is taking place worldwide. By the analysis of the Forslid & Ottaviano (J Econ Geo, 2003) model, we show that the larger the agglomeration forces, the farther from the monocentric city satellite cities emerge. As the trade freeness increases from a low value, there occurs a spatial period doubling in which every other city grows. Thereafter a central city with two satellite cities appears, en route to a complete agglomeration to the central city.
- 線分都市経済における単一中心型集積の分岐解析Publication . Aizawa, Hiroki; Ikeda, Kiyohiro; Kogure, Yosuke; Osawa, Minoru; Gaspar, José MariaIn new economic geography, economic agglomeration is known to be governed by bifurcation. However, the majority of theoretical researches focuses on two-place economy and racetrack economy and abstract from geographical advantage which are pervasive in the real world. In this paper, we focus on a long narrow economy, in which discrete locations are equally spread over a line segment. By group-theoretic bifurcation theory, we elucidate the bifurcation mechanism of monocentric city on this economy analytically. Emergence of satellite cities around a primary city is shown to be exist. By numerical analysis of Forslid & Ottaviano model with replicator dynamics, we show that the higher the expenditure share of manufactured goods is or the lower the elasticity of substitution is, the farther from the monocentric city satellite cities emerge.