複雜與空間動態

Complexity and spatial Dynamics

洪鴻智(Hung-Chih Hung)

區位理論 ； 混沌理論 ； 規模報酬遞增 ； 複雜系統 ； 空間動態 ； 自我組織 ； Location Theory ； Chaos Theory ； Increasing Returns to Scale ； Complexity System ； Spatial Dynamics ； Self-organizing

都市與計劃

25卷1期（1998 / 03 / 01）

71 - 92

繁體中文

新古典都市經濟對於個體空間選擇行為與都市整體空間結構形成之研究，多偏重在均衡分析，而缺乏空間動態程序之研究。尤其對於複雜之空間系統，均衡分析方法論難以解釋規模報酬遞增等因素所引發之混沌空間結構。因此本文主要之目的乃利用混沌與複雜系統理論，引用變異搜尋(Variety-seeking)模型結合動態Logit模型模擬都市之空間動態，結果顯示個體效用變異之程度、參數與起始條件，係影響空間成長是否呈現混沌或空間聚集經濟形成特性之主要關鍵；特別是規模報酬遞增形成之聚集效應，對於初始條件具有較敏感之波動現象，此現象符合Arthur所提之歷史事件閉鎖效應及Eaton & Eckstein所提之階層規模法則(Ranking-size rule)的都市成長特性。

Neo-classical economics are used to employ the equilibrium approach to explain the relations of individual spatial choice behavior and the formation of city spatial structure. However, their approaches lack of suitable spatial dynamics analysis tools. Equilibrium approach is difficult to explain the chaotic phenomena in the complex spatial structure where that is induced by increasing returns to scale. The purpose of this paper is to employ the chaos and complexity theory into urban spatial dynamics analysis. Further, we use the incorporated model of variety-seeking and dynamic Logit model to make a simulate analysis. The results of simulation reveal the facts that the main factors where decide the formation of chaos and agglomerations are individual utility variety and the model's coefficients and initial conditions. These results support the concepts that the lock-in effects of history events where Arthur (1989) has argued, and the rank-size rule of city growth where Eaton & Eckstein (1997) has afforded.

1. Arthur, W. B.(1994).Complexity: Metaphors, Models, and Reality.New York:Addison-Wesley.
2. Arthur, W. B.(1989).Competing Technologies, Increasing Returns, and Lock-in by Historical Events.The Economic Journal,99
3. Begovie, B.(1992).Industrial Diversification and City Size: The Case of Yugoslavia.Urban Studies,29
4. Cartwright, T. J.(1991).Planning and Chaos Theory.Journal of American Planning Association,57
5. Cochrane, R.(1992).Chaos Theory and Spatial Dynamics: A Comment.Journal of Transport Economic and Policy,26
6. Dobuzinskis, L.(1987).The Self-Organizing Policy: An Epistemological Analysis of Political Life.London:Westview.
7. Eaton, J., Eckstein, Z.(1997).Cities and Growth: Theory and Evidence from France and Japan.Regional Science and Urban Economics,27
8. Ewers, H. J.(1995).Urban Agglomeration and Economic Growth.Berlin:Springer.
9. Fujita, M.(1989).Urban Economic Theory: Land Use and City Size.London:Cambridge University Press.
10. Krugman, P.(1994).Complex Landscapes in Economic Geography.American Economic Review,84
11. Krugman, P. A.(1993).On the Number and Location of Cities.European Economic Review,37
12. Krugman, P. A.(1991).Geography and Trade.Cambridge:MIT Press.
13. Krugman, P. A.(1991).Increasing Returns and Economic Geography.Journal of Political Economy,99
14. May, R. M.(1976).Simple mathematical models with very complicated dynamics.Nature,261
15. McCann, P.(1995).Rethinking the Economics of Location and Agglomeration.Urban Studies,32(3)
16. Mills, E. S., Hamilton, B. W.(1989).Urban Economics.London:Scott Foresman.
17. Nijkamp, P., Reggiani, A.(1991).Chaos Theory and Spatial Dynamics.Journal of Transport Economics and Policy,25(1)
18. Nijkamp, P., Reggiani, A.(1990).Spatial Choices and Processes.New York:North-Holland.
19. O''Sullivan, A.(1993).Urban Economics.Richard D. Irwin.
20. Portugali, J., Benenson, I., Omer, I.(1997).Spatial Cognitive Dissonance and Sociospatial Emergence in a Self-Organizing City.Environment and Planning, B,24
21. Scheinkman, J. A., Woodford, M.(1994).Self-Organized Criticality and Economic Fluctuations.American Economic Review,84
22. Schelling, T. C.(1978).Micromotives and Macrobehavior.New York:W. W. Norton.
23. Scotchmer, S., Thisse, J. F.(1992).Space and Competition: A Puzzle.The Annals of Regional Science,26
24. Timmermans, H.(1990).Spatial Choices and Processes.New York:North-Holland.
25. 王彥文(1993)。渾沌魔鏡 Turbulent Mirror。台北:牛頓出版公司。
26. 北村行伸 、 妹尾美起(1997)。自己組織化の經濟學。東京:東洋經濟新報社。
27. 林享博 Lin, Sheang-Bor(1996)。台南市近郊磚廠的最小運輸成本區位 The Locations of Least Transport Costs for the Brick Factories in the Suburbs of Tainan City。規劃學報 Journal of Planning，23
28. 曾參寶(1995)。國立政治大學地政研究所。